Answers
Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
Add x to both sides to get 2x - 1 = 3Add 1 to both sides to get 2x = 4Divide both sides by 2 to get x = 2Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
Related Questions
Kalel says that 24 divided by 5 equals 36 divided by 8 because both are "4R4". Show his mistake using decimal division.
Answers
Answer: 24/5=4.8 36/8=4.5
Step-by-step explanation: First, let's start off by dividing 24 by 5. We can turn this into 24.0 divided by 5 to make it a bit simpler. We know that 240 by 5 = 48, then since there is a decimal 1 digit to the left in 24.0, we apply that decimal 1 digit to the left in 48, making it 4.8! Now let's do 36 by 8. We can do what we did for problem 1 and turn 36 into 36.0, 360 by 8 = 45 and applying the same logic we used before, 360 turns into 36.0, and 45 turns into 4.5! Therefore, Kalel is wrong, and the two equation is not equal.
P.S. Using long division, Kalel is technically kind of right, but there's still that unaccounted for '4' that we still need to divide.
Indicate whether the two functions are equal. If the two functions are not equal, then give an element of the domain on which the two functions have different values
Answers
The function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.
How to interpret the function?From the complete information, it should be noted that the function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.
Also, f(x) = x³ and g(x) = |x|³ are not equal. This is because both functions are not equal for x < 0. This can be illustrated when x = -1. In this case, f(x) = -1 and g(x) = 1.
Learn more about functions on:
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The function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.
What is the equality of the two functions?Two functions are equal if they have the same domain and codomain and their values are the same for all elements of the domain.
The function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.
Also, f(x) = x³ and g(x) = |x|³ are not equal.
This is because both functions are not equal for x < 0.
This can be illustrated when x = -1. In this case, f(x) = -1 and g(x) = 1.
Hence, the function f(x) = x² and g(x) = |x|² are the same since they both give a positive value.
Learn more about functions on:
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HELP ASAP GIVING BRAINLIEST LETS GO! In a dark hallway, you have a hard time finding your way to the bathroom. To find the bathroom, you try the following:
Shouting for help
Feeling your way down the hall
Turning on a lamp
Crawling along the floor
----------------------------------------------------------------------------------------------------------------------------
.All four are successful, but only one of these options uses two forms of energy. Identify the two forms of energy for that option.(2 points)
A.Electrical and light
B.Heat and sound
C.Mechanical and light
D.Sound and heat
Answers
mechanical and light
During his first 20 picks from a bag of marbles, mike chose 8 yellow marbles, 9 green marbles, and 3 blue marbles. What is the experimental probability that mark will choose a green marble on his next pick? Write the probability as a percent.
Answers
Answer:
Step-by-step explanation:
All you have to do for this problem is take 3, over the 20, and then turn into a percent. Your final answer is D. 15%, because if you multiply 3/20 by 5, you get 15/100, which is easier to turn into a percent, leaving you with 15%
please help me bro please
Answers
6 h −1=−3
what is the answer
Answers
Answer:
h=[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]6h-1=-3\\6h=-2\\h=-\frac{2}{6} \\h=-\frac{1}{3}[/tex]
Answer:
[tex]\boxed{\sf{h=-\dfrac{1}{3}=-0.33 }}[/tex]Step-by-step explanation:
Isolate by the h from one side of the equation.
6h-1=-3
First, add by 1 from both sides.
[tex]\sf{6h-1+1=-3+1}[/tex]
Solve.
-3+1=-2
Rewrite the problem down.
6h=-2
Then, you divide by 6 from both sides.
[tex]\sf{\dfrac{6h}{6}=\dfrac{-2}{6} }[/tex]
Solve.
-2/2=-1
6/2=3
Rewrite as a fraction.
[tex]\boxed{\sf{h=-\dfrac{1}{3}=0.33}}[/tex]
Therefore, the correct answer is h=-1/3=0.33.I hope this helps you! Let me know if my answer is wrong or not.
The area of the triangle below is 17.39 square inches. What is the length of the base?
Height 3.7
Answers
17.39=3.7b/2
3.7b=34.78
B=9.4 inches the base of the triangle is about 9.4 inches.
FIND THE VOLUME OF EACH SNOWBALL)
Joshua and Isabella are having a snowball fight. Joshua has a snowball, shaped as a sphere, with a radius of 6 cm. Isabella also has a spherical snowball that is 6cm across the center of the sphere find the volume of each snowball use 3.14 for pi
Answers
Answer:
Step-by-step explanation:
Write the equation in standard form for the circle with center (0, -5) and radius 2
Answers
The standard equation for a circle is '[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h,k): coordinate for the center of the circle --> (0,-5)r: radius --> 2--> Standard form:
[tex](x - )^2 +(y-(-5))^2=2^2\\x^2+(y+5)^2=4[/tex]
Hope that helps!
Answer:
x^2 + (y + 5)^2 = 4.
Step-by-step explanation:
Standard form is (x - a)^2 + (y - b)^2 = r^2
- where (a, b) is the center and radius = r.
So our equation is:
(x - 0)^2 + (y - (-5))^2 = 2^2
x^2 + (y + 5)^2 = 4.
To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hourly rates for detasselers in Iowa are roughly normally distributed, with a mean of $12/hr and a standard deviation of $2/hr. What are the z-scores for a detasseler making $13 and $17 an hour? z13 = 0. 9, z17 = 1. 25 z13 = 0. 5, z17 = 1. 25 z13 = 0. 5, z17 = 2. 5.
Answers
The z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]
What is z- value ?The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.
To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.
[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Where x is the value of the data, μ is the mean and σ is the standard deviation
In this case :
μ = 12 $/h
[tex]\sigma[/tex] = 2 $/h
We need to calculate the Z-scores for x=17 and x=13
[tex]Z_{13}=\dfrac{13-12}{2}=0.5[/tex]
[tex]Z_{17}=\dfrac{17-12}{2}=2.5[/tex]
Thus the z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]
To know more about z-Value follow
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what is the inequality shown
Answers
Answer:
-4<x≤5
Step-by-step explanation:
An open circle means 'less than' or 'greater than' while a closed cirlce means 'less than or equal to' or 'greater than or equal to'
Complete the table.
Milkshakes Cost
Answers
Answer:
811
Step-by-step explanation:
i d k
polar & rectangular equations
Answers
Answer:
13. [tex]x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]
14. [tex]r=3\cos(\theta)-2\sin(\theta)[/tex]
Step-by-step explanation:
Question 13
Conversion from Polar equation to rectangular equation:
[tex]x=r \cos(\theta) \implies \cos(\theta)=\dfrac{x}{r}[/tex]
[tex]y=r \sin(\theta) \implies \sin(\theta)=\dfrac{y}{r}[/tex]
[tex]x^2+y^2=r^2 \implies r=\sqrt{x^2+y^2}[/tex]
Given:
[tex]r=3-2\cos(\theta)[/tex]
[tex]\textsf{Substitute }\cos(\theta)=\dfrac{x}{r}:[/tex]
[tex]\implies r=3-\dfrac{2x}{r}[/tex]
Multiply both sides by r:
[tex]\implies r^2=3r-2x[/tex]
[tex]\implies r^2+2x-3r=0[/tex]
[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }r=\sqrt{x^2+y^2}:[/tex]
[tex]\implies x^2+y^2+2x-3\sqrt{x^2+y^2}=0[/tex]
---------------------------------------------------------------------------------------------
Question 14
Conversion from Rectangular equation to polar equation:
[tex]x=r \cos(\theta)[/tex]
[tex]y=r \sin(\theta)[/tex]
[tex]x^2+y^2=r^2 \implies r^2\cos^2(\theta)+r^2\sin^2(\theta)=r^2[/tex]
Given:
[tex]x^2+y^2-3x+2y=0[/tex]
[tex]\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }x=r \cos(\theta)\:\textsf{and }y=r \sin(\theta):[/tex]
[tex]\implies r^2-3r\cos(\theta)+2r\sin(\theta)=0[/tex]
Factor out common term r:
[tex]\implies r(r-3\cos(\theta)+2\sin(\theta))=0[/tex]
Divide both sides by r:
[tex]\implies r-3\cos(\theta)+2\sin(\theta)=0[/tex]
Rewrite to make r the subject:
[tex]\implies r=3\cos(\theta)-2\sin(\theta)[/tex]
© How many dogs does my math teacher have?
©
What is the value of the expression 2 + 73 + 4(9 - 6)2 = 6?
Answers
Answer:
The correct answer is 351.
Step-by-step explanation:
We will use order of operations to solve this problem. Recall that order of operations, AKA PEMDAS, states we should simplify numeric expressions in the following order:
Parentheses
Exponents
Multiplication/Division (ordered left to right)
Addition/Subtraction (ordered left to right)
Begin by evaluating the parentheses:
[tex]2+7^3+4(9-6)^2\div6\\2+7^3+4(3)^2\div6[/tex]
Simplify the exponents:
[tex]2+7^3+4(3)^2\div6\\2+343+4(9)\div6[/tex]
Multiply:
[tex]2+343+4(9)\div6\\2+343+36\div6[/tex]
Divide:
[tex]2+343+36\div6\\2+343+6[/tex]
Add:
[tex]2+343+6\\345+6\\351[/tex]
A man invests a sum of money ($8,000) in a bank that offers a rate of 5%. He invests the money for 2 years. Calculate the amount of money in the bank at the end of the 2-year period if invested at:
(a) simple interest
(b) compound interest.
Question 6 (6 marks)
The diameter of a circle is 10 cm (as shown in the diagram). Use π = 3.14 Calculate to 2 decimal places, the:
(a) circumference
(b) area
Answers
Answer:
(a) 8000 times 5 times 2 = 800
PLEASE GUYS I REALLY NEED TO GET A C OR A B IN MATH PLEASE I NEED AT LEAST ONE PERSON TO HELP ME WITH MY SI
The prism below is made of cubes which measure of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
A.
B.
C.
D.
Answers
Answer:
35
Step-by-step explanation:
V=Bh
V = 6(5)
V= 35
Answer: the answer is A. 10/9 cubic in.
Step-by-step explanation:
Giving brainliest whoever answers this question first, please help
Answers
PLEASE HELP!!!!!! Giving Brainliest really hard!
Answers
Answer:
x = 71
Step-by-step explanation:
The horizontal lines are parallel, right?
So that means the degrees shown are complimentary angles(they add up to 180 degrees, a straight line)
so that means the algebraic equation is 109 + x = 180
x = 180-109
x = 71
Hope this helps. Mark brainliest if best., if not, hope it helps anyway.
solve equation find x 6x+6=10x-2
Answers
Answer:
[tex] \sf \: x = 2[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \sf 6x+6=10x−2 [/tex]
Step 1: Subtract 10x from both sides.
[tex] \sf6x+6−10x=10x−2−10x[/tex]
[tex] \sf−4x+6=−2[/tex]
Step 2: Subtract 6 from both sides.
[tex] \sf−4x+6−6=−2−6[/tex]
[tex] \sf−4x=−8[/tex]
Step 3: Divide both sides by -4.
[tex] \sf \frac{−4x}{−4}=\frac{−8}{−4}[/tex]
[tex] \sf x=2[/tex]
A perpendicular bisector is _____ to a line segment and intersects the line segment at its _____.
A. perpendicular; endpoint
B. adjacent; midpoint
C. supplementary; angle
D. perpendicular; midpoint
E. exterior; linear pair
Answers
Answer:
D. perpendicular; midpoint
Step-by-step explanation:
A perpendicular bisector is perpendicular to a line segment and intersects the line segment at its midpoint .
__
This is a vocabulary question. It is always a good idea to learn the vocabulary, so you can understand statements that make use of these words. In the attached image, the line segment containing C is the perpendicular bisector of segment AB.
please help with this math problem
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
10 mm
Step-by-step explanation:
You can find the missing dimension using the triangle area formula with the dimensions you know.
A = 1/2bh
40 mm² = 1/2(b)(8 mm)
b = 40 mm²/(4 mm) = 10 mm . . . . . . . divide by the coefficient of b
The triangle's base is b = 10 mm.
solve pls brainliest
Answers
Answer:
decreased by 7
Step-by-step explanation:
Based off of the table after each day, the money left on the card decreases by 7 after each day
eg. On Monday there is $40 on the card. On Tuesday there is $33 on the card. The money on the card decreases by 7 from Monday to Tuesday. It continues to decrease by this constant amount as the days pass.
Answer:
With each day additional day, the amount left on the card decreased by $7
Step-by-step explanation:
After each day you could see that the amount of money was lower and if you subtracted Monday by Tuesday, Tuesday by Wednesday, Wednesday by Thursday, and Thursday by Friday, you could see that it fell $7 each time.
What is the value of g?
130
g
Answers
Answer:
g is 50 degrees
g is a supplement of 130 so they add up to 180
Answer:
The angel G:
= 50 degrees
A straight line is 180 degrees. The is already an angel has shown that takes up the majority of the line which is 130 degrees.
180 degrees - 130 degrees = 50 degrees
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
What is the area of triangle def? round to the nearest tenth of a square unit. 10.3 square units 18.0 square units 20.0 square units 20.6 square units
Answers
The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
What is the formula for area of a triangle?When the two sides and an angle of a triangle is known, then the area of the triangle can be found out with the following formula.
[tex]A=ab\sin\left(\dfrac{C}{2}\right)[/tex]
Here, a,b are the adjacent sides and C is the angle made between them.
The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.
The angle made between them has the measure of 31 degrees. Put the values in the above formula as,
[tex]A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2[/tex]
Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
Learn more about the triangle here;
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Answer: A, 10.3
Step-by-step explanation: edge 2022
travis measured 5 different-colored pencils to the nearest inch, 1/2 inch, and 1/4 inch. He records the measurements in the chart below. He draws a star next to the measurements that are exact.
Answers
Answer:
5x/1/2 = 1x
answer 1.12 <3
hope it helps
use brainly<3
Step-by-step explanation:
Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)
Answers
Check the picture below, so the circle looks more or less like that one.
well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}[/tex]
Ravi buys some hats to sell at a school fete. He buys 56 hats for a total £120
Ravi sells 3/7 of these hats at £3.50 each.
He reduces the selling price of the remaining hats to £3 each.
He sells half of the remaining hats at this selling price.
Work out the profit Ravi makes.
Answers
Answer:
$12
Step-by-step explanation:
3/7 of 56 = 24 hats
24 x $3.5 = $84
The remaining hats 56-24 =32 hats
HALF of 32 =16hats
16x$3 =$48
$84 + $48 = $132
But he spent $120
The profit Ravi made = 132-120 = $12
Find a value for Y and give a reason for your answer
Answers
Step-by-step explanation:
inscribed angles subtended by the same arc are equal.
the central angle of a circle is twice any inscribed angle subtended by the same arc.
the first statement tells us that the 53° angle as well as y stay the same size no matter where on their arcs (between the 2 points connected to O) they would be. so, we don't need to bother with any line lengths.
the 2nd statement tells us that x = 2×53 = 106°. the 53° and x angles refer to the short arc on the right of the 2 points connected to O.
and y and x refer to the larger arc on the left of the 2 line connected to O. that means according to the second statement : 360-x (the big angle around O) = 2y
so,
360 - 106 = 2y
254 = 2y
y = 127°
Find 3 ratios that are equivalent to the given ratio.
2:9
Answers
Answer:
4:18
6:27
8:36
Hope this helps! :)
Is the quadratic equation y
= 5x² - 6x + 1 in standard form
or in vertex form? What is the vertex?
Answers
Answer:
In geometry, a vertex form is a point where two or more curves, lines, or edges meet.
Step-by-step explanation:
this equation is stander form