Answers
Answer:
ONE “1”
Step by step:
Taking into account the definition of a system of equations, this nonlinear system of equations has one solution.
A system of equations is a set of two or more equations that share two or more unknowns. The solutions of a system of equations are all the values that are valid for all equations.
That is, to find the solution to a system of equations, you must find a value (or range of values) that satisfies all the equations in the system.
Graphically, the points where the graphs of the equations intersect will be the solutions to the system.
A system of equations with a linear equation and a quadratic equation can have two, one, or no solutions. To find its quantity, we must look for the intersection between both graphs:
If the graphs of the equations do not intersect, then there are no solutions for both equations. If the parabola and the line touch at a single point, then there is a solution for both equations. If the line intersects the parabola in two places, then there are two solutions to both equations.
In this case, you can see that the parabola and the line touch at a single point. Then there is a solution for both equations.
In summary, this nonlinear system of equations has one solution.
Related Questions
If total assets increased $150,000 during the year and total liabilities decreased $60,000, what is the amount of owner’s equity at the end of the year?
Answers
Answer:
$710,000
Step-by-step explanation:
The computation of the owner’s equity at the end of the year is given below:
We know that
The accounting equation equals to
Total assets = Total liabilities + owners equity
where,
Total assets = $800,000 + $150,000 = $950,000
And, the total liabilities = $300,000 - $60,000 = $240,000
So, the owners equity at the end of the year would be
= $950,000 - $240,000
= $710,000
100 PTS AND BRAINLIEST WRONG ANSWERS REPORTED
The function p(w)=230(1.1)^W represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.
Answers
Answer:
40; 0.1 and 0.16
Step-by-step explanation:
a. We know that p(w)=230(1.1)^W represents the number of specialty items produced at the old factory.
This equation is in the form of an exponential growth function:
f(x)=a(1+r)^x
where a is the initial value, r is the growth rate, and x is the number of time intervals.
That means that for p(w)=230(1.1)^W:
230 is the initial value, and 0.1 is the growth rate. (1.1-1)
Therefore, for week 0, there were 230 specialty items produced at the old factory.
We can also plug in 0 for w (0 time intervals) to get the same answer
That would look like:
p(0)=230(1.1)^0
p(0)=230(1)
p(0)=230
On the other hand, for the new factory, if you go find 0 on the x-axis, you'll notice that 190 specialty items were produced in week 0.
230-190=40
This means that our answer for a is that 40 more specialty items were produced at the old factory than the new factory.
_____
b. Our first step for this question would be to find the equation for the graph.
We can immediately recognize that this is an exponential growth function, similar to the other equation.
As a reminder, exponential growth functions are in the form: f(x)=a(1+r)^x
We can put it in terms of production and weeks:
p(w)=a(1+r)^w
We know that the initial value is 190 by the graph.
p(w)=190(1+r)^w
Now we just need to find the growth rate:
We can do this by choosing a value (other than the first point) and plugging it in. Let's use (1, 220) which is in the form (w, p)
Plug it in to the equation:
220=190(1+r)^1
220=190(1+r)
Distribute
220=190+190r
Subtract 190 from both sides
30=190r
Divide 190 from both sides
r=0.1578947368 (round how your teacher asks)
Next, all we have to do is find the growth rate for the old factory:
p(w)=230(1.1)^W
1.1=1+r
Therefore, r=0.1
The growth rate at the old factory is 0.1.
When comparing them, we'll realize that the growth rate at the new factory is about 0.06 higher.
#1
For old factory
p(w)=230(1.1)^wSo
week =0[tex]\\ \rm\dashrightarrow p(0)=230(1.1)^0=230(1)=230[/tex]
For nEW factory
On graph y intercept is 190Difference:-
230-190=4040 items were more produced
#2
For old factory
Turn it to p(1+r)^t form where r is rate of change[tex]\\ \rm\dashrightarrow 230(1+0.1)^t[/tex]
Growth rate is 0.1For new factory
(0,190)(1,220)Find slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{220-190}{1}=30[/tex]
Find growth rate
m/b(b is y intercept)30/1903/190.16New factory has greater growth rate
Which number is a common multiple of 2 and 3?
A) 8
B) 16
C) 28
D) 36
Answers
Answer:
D
Step-by-step explanation:
36 can be divided by both 2 & 3
Answer:
The answer is D.
Step-by-step explanation:
2x18=36
3x12=36
Answer is 345 make an equation from 100, 10, 3, 4, 5, 2, 1
Answers
Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345
Here are the types of sandwiches sold in a cafe last week.
Sandwiches
Tuna
Cheese
Chicken
Egg
56 tuna sandwiches were sold.
This was 40% of the total number of sandwiches sold.
(a) Work out the total number of sandwiches sold.
Answers
Answer:
(a) 140 sandwiches
Step-by-step explanation:
The total number sold can be found from the given relation:
56 sandwiches = 40% × total sold
__
Dividing by the coefficient of the variable, we find ...
total sold = (56 sandwiches)/0.40 = 140 sandwiches
The total number of sandwiches sold last week was 140.
Refer to Figure 8-9. The loss of producer surplus as a result of the tax is a. $3,000. b. $6,000. c. $9,000. d. $12,000.
Answers
The loss in producer surplus as a result of the tax given the information in the diagram is $9000.
What is the loss in the producer surplus?Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product
The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax
Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)
12000 - 3000 = $9000
Please find attached the complete question. To learn more about surplus, please check: https://brainly.com/question/25816093
PLEASE help me. Please, I beg you.
How does the Vietnam War influence policies and decisions made in the United States today? Justify your response.
Answers
This is the war between the communist governmrnt of Vietnam North and the South Vietnam. The United States of America were the main ally of the Vietnam south during the war.
The communist Vietnam North later united with the south with a common name Socialist Reepublic of Vietnam, After a fierce onslaught that took the life of about 58000 americans and over 2 million Vietnamese.
The influence of the Vietnam war in United States today
1. End of the drafts
The drafts is the method of conscription to the military that requires vitually every male between the age of 18 - 25 in United States to register with the selective service. since the end of the Vietnam war in 1975 the draft stopped hence no penalty for not registering to the draft.
2. Granting 18 years old the right to vote
26th Amendment of the United States Constitution gave right to vote to the 18 years old citizens. Today 18 tear old American has right to vote. This was evolvement of the war and still holds till date.
3. It is easier getting into a war than getting out of a war
Americans was pulling out of the Vietnam war when they suffered the huge massacre. This lesson was helpful for president George H W Bush during the 1991 Persian Gulf War were he systematically exited after liberating Kuwait
Read more on Vietnam war here: https://brainly.com/question/24845081
Find the missing side length using the Pythagorean Theorem.
a²+6² = ²
Answers
The missing length is 18
Using Pythagorean rule
Hyp^2 = Opp^2 + adj^2
Opp^2 = hyp^2 - adj^2
Opp^2 = 30^2 - 24^2
Opp^2 = 900 - 576
Opp^2 = 324
Opp = sqrt ( 324 )
Opp = 18
Will mark YOU brainliest!!
Express the following phrase as a unit rate:
135 miles on 9 gallons of gas
Answers
Answer: 15 miles per gallon
Step-by-step explanation:
135 divided by 9
15 miles per gallon
rate:
[tex]\sf \dfrac{distance}{amount \ of \ oil}[/tex]
[tex]\rightarrow \dfrac{135}{9}[/tex]
[tex]\sf \rightarrow15 \ miles \ per \ gallon[/tex]
The demand equation for a manufacturer's product is:
p = 50 x [tex](151 - q)^{0.02\sqrt{q+19} }[/tex]
(a) Find the value of dp/dq when 150 units are demanded.
(b) Using the result in part (a), determine the point elasticity of demand when 150 units are demanded. At this level, is demand elastic, inlastic, or of unit elasticity?
(c) Use the result in part (b) to approximate the price per unit it demand decreases from 150 to 140 units.
(d) If the current demand is 150 units, should the manufacturer increase or decrease price in order to increase revenue?
Answers
From the given price function, we have;
(a) [tex] \frac{dp}{dq} = - 13[/tex]
(b) The point elasticity of demand is 0.0256; inelastic demand
(c) $46.6
(d) Increase
How can the elasticity of demand be found?a. The given function is presented as follows;
[tex]p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} } [/tex]
Differentiating the above function with a graphing calculator and setting q = 150 gives;
[tex] \frac{dp}{dq} = - 13[/tex]
b. The point elasticity of demand is given by the formula;
[tex] e \: = \frac{dq}{dp} \times \frac{p}{q} [/tex]
When q = 150, we have;
P = 50
Which gives;
[tex]e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256[/tex]
The point elasticity of demand, E = 0.0256
The demand is inelastic (less than 1) when the quantity demanded is 150 unitsc. If the quantity demanded decreases from 150 to 140 units, we have;
[tex]0.0256 \: = \frac{1}{13} \times \frac{p}{140} = [/tex]
Which gives;
p = 46.6
The price when the quantity demanded decreases to 140 is $46.6d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;
The manufacturer should increase the price, p to increase the revenue, R.R = p × q
Learn more about elasticity of demand here;
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Is the data Jamaya collected a random sample if the population is books from her entire household? Why or why not? *Remember that Jamaya picked 15 books from her book shelf in her bedroom.
Answers
Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.
In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Solve: |x-2|=3
Can someone explain how to do this please!!!
Answers
Step-by-step explanation:
after x^2-4x-5 do sum and product
find C.P if S.P = Rs 208, profit percent = 4%
Answers
Answer:
Rs 200
Step-by-step explanation:
100/104×Rs 208
Rs 200
S.P = 208
4%×208=8.32
208-8.38=199.68
Therefore, C.P = ₹199.68
so approximately C.P = ₹200
Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( Please Do Not Use Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported). Very Important.
Answers
Answer:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Step-by-step explanation:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Given :
Joshua has a ladder that is 12 ft long.
He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.
For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.
Check the angle that the ladder makes with the ground:
The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but is so, the ladder won't be safe.
To make the ladder safe, the height should not be 11.8ft.
The height from ground to top of the ladder is < 11.6 ft for safety reasons.
Given the equation of a circle, x^2 + y^2 - 6x + 2y + 1 = 0, find the coordinates of the center and the length of the radius
Answers
Answer:
Center: (3,-1)
Radius: 3
Step-by-step explanation:
Given:
[tex]\displaystyle \large{x^2+y^2-6x+2y+1=0}[/tex]
First, we have to convert the following standard circle equation to this:
[tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex]
where h is horizontal shift, k is vertical shift and r is radius.
That means we have to complete the square for both x-term and y-term.
Rearrange the equation:
[tex]\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}[/tex]
For [tex]\displaystyle \large{y^2+2y+1}[/tex], can be converted to perfect square as [tex]\displaystyle \large{(y+1)^2}[/tex]. Hence:
[tex]\displaystyle \large{(x^2-6x)+(y+1)^2=0}[/tex]
For the x-terms, we have to find another value that can complete the square. We know that [tex]\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}[/tex].
For [tex]\displaystyle \large{x^2-6x}[/tex] can be [tex]\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}[/tex]. So our another value is 9.
[tex]\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}[/tex]
From above, we add -9 because the original expression isn’t actual perfect square.
Separate -9 out of [tex]\displaystyle \large{x^2-6x+9}[/tex]:
[tex]\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}[/tex]
Transport -9 to add another side:
[tex]\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}[/tex]
Complete the square:
[tex]\displaystyle \large{(x-3)^2+(y+1)^2=9}[/tex]
Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from [tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex] and the radius is defined as r.
Hence, from the equation:
The coordinate of center is (3,-1) with radius equal to 3.
Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy? Enter your answer in the box.
Answers
Divide the box into two parts for easy way answer
For cube:-
Side=a=12cmTSA
6a²6(12)²6(144)864cm^2Cancel one side area
TSA=864-144=720cm^2For triangular pyramid:-
Area of one base
0.5(Base)(Height)0.5(12)(15)6(15)90cm^2Area of four sides=90(4)=360cm^2
Total surface area:-720+3601080cm^2Answer:
1080 cm^2
Step-by-step explanation:
∴ Given:
Graham carves a block of wood shaped like a cube with a square pyramid on top.
∴To Find:
How much paint will Graham need to paint the toy?
∴Solve:
Base on the given:
[tex]S=5a^2+4ah\cdot\frac{1}{2}[/tex]
= [tex]5\cdot12^2+4\cdot12\cdot15\cdot\frac{1}{2}[/tex]
[tex]=1080cm^2[/tex]
Hence [tex]1080cm^2[/tex] of paint is needed.
~lenvy~
Graph y = 0.5|x|
The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.
The Domain and Range?
Thanks!
Answers
Range: y ≥ 0
Need help with his geometry question. Find the value of x
Answers
Answer:
Step-by-step explanation:
Answer: the largest angle has a measure of _____ degrees.
Answers
Answer:
the largest Angle has a measure of 360 degrees
Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?
Answers
Divide total bought by number of people first:
680 / 45 = 15.111
round up to 16. Multiply 16 by 45:
45 x 16 = 720
He should have bought 720 pieces. Now by Tracy to find how many more pieces:
720 - 680 = 40
He should have bought 40 more pieces.
In a small private school, 16 students are randomly selected from eighteen available students. What is the probability that they are the four youngest students?
Answers
Answer:
1/72
Step-by-step explanation:
16 * 18 = 288
4/288 = 1/72
What is the exact value of tan(67.5°)?
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartStartRoot StartFraction 2 minus StartRoot 2 EndRoot Over 2 + StartRoot 2 EndRoot EndFraction EndEndRoot
StartStartRoot StartFraction 2 + StartRoot 2 EndRoot Over 2 minus StartRoot 2 EndRoot EndFraction EndEndRoot
Answers
Answer:
the answer is shown below
I truly hope this helps you -TJ
Step-by-step explanation:
here you go
Answer:
D
Step-by-step explanation:
Edge
Please help solve by elimination I hope its not blurry Have a nice day and Goodnight
Answers
Answer:
[tex]\displaystyle \textcolor{black}{4.}\:[-3, -5][/tex]
[tex]\displaystyle \textcolor{black}{3.}\:[8, -1][/tex]
[tex]\displaystyle \textcolor{black}{2.}\:[4, -7][/tex]
[tex]\displaystyle \textcolor{black}{1.}\:[3, -2][/tex]
Step-by-step explanation:
When using the Elimination method, you eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:
[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-5x - 3y = 30}} \right.[/tex]
{2x - 3y = 9
{⅖[−5x - 3y = 30]
[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-2x - 1\frac{1}{5}y = 12}} \right. \\ \\ \frac{-4\frac{1}{5}y}{-4\frac{1}{5}} = \frac{21}{-4\frac{1}{5}} \\ \\ \boxed{y = -5, x = -3}[/tex]
------------------------------------------------------------------------------------------
[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {x + 3y = 5}} \right.[/tex]
{x - 2y = 10
{⅔[x + 3y = 5]
[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {\frac{2}{3}x + 2y = 3\frac{1}{3}}} \right. \\ \\ \frac{1\frac{2}{3}x}{1\frac{2}{3}} = \frac{13\frac{1}{3}}{1\frac{2}{3}} \\ \\ \boxed{x = 8, y = -1}[/tex]
_______________________________________________
[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {y = -8x + 25}} \right.[/tex]
{y = −3x + 5
{−⅜[y = −8x + 25]
[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {-\frac{3}{8}y = 3x - 9\frac{3}{8}}} \right. \\ \\ \frac{\frac{5}{8}y}{\frac{5}{8}} = \frac{-4\frac{3}{8}}{\frac{5}{8}} \\ \\ \boxed{y = -7, x = 4}[/tex]
------------------------------------------------------------------------------------------
[tex]\displaystyle \left \{ {{y = -x + 1} \atop {y = 4x - 14}} \right.[/tex]
{y = −x + 1
{¼[y = 4x - 14]
[tex]\displaystyle \left \{ {{y = -x + 1} \atop {\frac{1}{4}y = x - 3\frac{1}{2}}} \right. \\ \\ \frac{1\frac{1}{4}y}{1\frac{1}{4}} = \frac{-2\frac{1}{2}}{1\frac{1}{4}} \\ \\ \boxed{y = -2, x = 3}[/tex]
_______________________________________________
I am joyous to assist you at any time.
One of the construction workers likes to listen to music on the job. Unfortunately, he
also has a bad habit of accidentally dropping his music player into the ravine! Luckily,
his daughter is good with physics and has built a safety balloon for his latest music
player that will release after the music player has been falling for 1 second.
The time it takes for the music player to fall from the bridge to the bottom of the
ravine can be modeled by the following equation:
1-
81 +24
16
where tis the amount of time since the construction worker dropped his music
player
Will the safety balloon release in time?
6. First, how long will it take for the music player to fall to the bottom of the ravine?
Solve the equation and find the values of t. (2 points: 1 point for each value)
Answers
The equation of the ravine function is an illustration of a quadratic function
It will take 1.5 seconds for the music player to fall to the bottom of the ravine
How to determine the time the music player will fall to the bottom?The equation of the function is given as:
[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]
Take the square of both sides
t² = (8t + 24)/16
Multiply both sides by 16
16t² = 8t + 24
Divide through by 8
2t² = t + 3
Set the equation to 0
2t² - t - 3 = 0
Expand the equation
2t² + 2t- 3t - 3 = 0
Factorize the equation to 0
2t(t + 1)- 3(t + 1) = 0
Factor out t + 1
(2t- 3)(t + 1) = 0
Expand
2t- 3 = 0 or t + 1 = 0
Solve for t
t= 1.5 or t =- 1
Time cannot be negative.
So, we have:
t = 1.5
Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine
Read more about quadratic functions at:
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Rewrite the fraction in the sentence below as a percentage. At a certain wedding, 1/10 of the guests were over 60 years old.
Answers
Answer:
10%
Step-by-step explanation:
1/10 = 10%
A box has length 3 ft, width 5 ft, and height 2 ft.
What is the volume?
cu ft
Answers
Answer:
30 ft.³
Step-by-step explanation:
3ft. × 5ft. × 2ft. = 30 ft.³
Please rate!! I hope this helps!!
......................................
Answers
Answer:
D. f(x) = x - 4
Step-by-step explanation:
If you plug in the x values for the expression x - 4:
3 - 4 = -1
4 - 4 = 0
5 - 4 = 1
6 - 4 = 2
This means that the function rule is f(x) = x - 4
Hope this helps :)
GEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
18 ft
d ft
22 ft
12.6 ft
O 160 ft
O 4'ft
28,4 ft
Answers
Answer:
d = 12.6 ft
Step-by-step explanation:
From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Therefore, use Pythagoras Theorem to find the measure of d.
Given values:
a = db = 18 ftc = 22 ftSubstitute the given values into the formula and solve for d:
[tex]\implies d^2+18^2=22^2[/tex]
[tex]\implies d^2+324=484[/tex]
[tex]\implies d^2=484-324[/tex]
[tex]\implies d^2=160[/tex]
[tex]\implies d=\sqrt{160}[/tex]
[tex]\implies d=12.6491106...[/tex]
Therefore, d = 12.6 ft (nearest tenth).
Learn more about Pythagoras Theorem here:
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How do you know that the Pythagorean Theorem is true?
Answers
The fact that the angles in a triangle add up to 180 indicates that it is actually a square). There are also four right triangles, each with a base and a height. The Pythagorean Theorem is reached when a2 + b2 = c2.
what is the area of the parallelogram?
Answers
The area of a parallelogram is the product of:
--> length of the base and the height
length: 7ftheight: 5ftThus the area = 7 * 5 = 35 square feet
Hope that helps!