Answer:
2 x-intercepts
Step-by-step explanation:
Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]
Given equation: [tex]\sf y=x^2+3x[/tex]
Therefore:
a = 1b = 3c = 0Discriminant: [tex]\sf b^2-4ac[/tex]
Substituting values into discriminant:
[tex]\sf \implies 3^2-4(1)(0)=9[/tex]
As discriminant > 0 then 2 real roots (2 x-intercepts)
f(x)
-6
Which is a possible turning point for the continuous
function f(x)?
-4
Х
-4
-3
-2
-1
0
1
2
ООО
(-3, 4)
O (-2,-1)
(0, -5)
(1, -8)
-1
-2
-5
-8
-16
Answer:
-5
Step-by-step explanation:
because 6-1=-5 therefore the is -5
The possible turning point for the continuous function f(x) is (-2, -1)
What is the turning point of a function?A stationary point is called a turning point if the derivative changes sign (from positive to negative, or vice versa) at that point.
There are two types of turning point:
A local maximum, the largest value of the function in the local region. A local minimum, the smallest value of the function in the local region.
Given are the coordinates of a function,
We need to find the turning point of the same,
Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.
Hence, the possible turning point for the continuous function f(x) is (-2, -1)
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The complete question is attached
help me please!!!!!!!!!
Answer:
A = 5
I hope you have an amazing day!
Find the solution of the system of equations.
- 3x + 4y = 12
2.x + 2y = -22
Answer:
x = -8
y = -3
Step-by-step explanation:
So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.
You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44
Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.
Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.
2 · -8 = -16.
-16 + 2y = -22. Add 16 to both sides to get 2y = -6. Divide both sides by to get y = -3.
Hope this helps! :)
What is the area of the given quadrilateral?
Answer:
20 square units
Step-by-step explanation:
as its a square, we just add all the sides together. like a+b+c+d..
5+5+5+5=20 units
Mr. Goldsman runs on the elliptical for 12 minutes for every 5 minutes that Kirby runs (he's not as athletic as Mr. Goldsman). If Mr. Goldsman runs for one and a half hours, how long did Kirby run?
Hint: Make sure all of your times are in minutes!!!!
If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.
How many minutes did Kirby run for?The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs
Rate = 5/12
The second step is to multiply the rate by the minutes run by Mr Goldsman.
5/12 x 90 = 37.5
= 37 minutes 30 seconds
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The regular octagon shown is enlarged so that its side are 3 times
as large. What affect does this have on the perimeter?
Answer:
The perimeter is 2 times greater.
Step-by-step explanation:
a rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?
Answer:
191
Step-by-step explanation:
do the frame with the pic first that is
28*24=672
next just the pic
24*20=480
next subtract the pic from the frame
672-480=191
can some one answer this question please show work
When you reflect across the Y axis, the Y value remains the same and the x value becomes opposite.
Answer: (5,-3)
Find the length of the missing side of the right triangle. (Don't put units in your answer.)
The missing side is the opposite or the adjacent of the right triangle
The length of the missing side is 9.9
How to determine the length of the missing side?To calculate the length of the missing side, we make use of the following Pythagoras theorem.
16.5^2 = 13.2^2 +a^2
Evaluate the exponents
272.25 = 174.24 +a^2
Collect like terms
a^2 = 272.25 - 174.24
Evaluate the like terms
a^2 = 98.01
Take the square roots of both sides
a = 9.9
Hence, the length of the missing side is 9.9
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PLS HELP
WILL GIVE BRAINLIEST
answer:
(-7; -5)
step by step
PLEASE HELP!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
40/41.
Step-by-step explanation:
sin Z = opposite side / hypotenuse
= 40/41
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
The ordered pair (–3, 7) is viable.
The ordered pair (0, 4) is viable.
The ordered pair (7, 0) is non-viable.
The ordered pair (12, 3) is viable.
Answer:
D
Step-by-step explanation:
X must be positive as you cannot have a negative amount of people and neither X and Y could be 0. (In this case (7, 0) could have been viable but the choice says non-viable.) This means the answer is (12,3).
The ordered pair (12, 3) is viable is correct answer.
What is ordered pair?"Ordered pair is defined as the two numbers or variables which is written in form of pair using parenthesis."
According to the question,
Number of visitors = x
Number of winners = y
Relationship given,
Number of visitors and hole in one winners.
Negative value cannot be part of number of visitors or winners.
Therefore,
(-3,7) is not the correct ordered pair.
'x' and 'y' value cannot be equals to zero as per the condition given.
(7,0) is non viable.
Therefore,
(0,4) and (7,0) is not the correct ordered pair.
(12,3) represent both positive value as per the condition.
Hence, the ordered pair (12, 3) is viable is correct answer.
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Find the area of the figure below.
16 in
19 in
30 in
19.4 in
Answer:
392 square inches
Step-by-step explanation:
To solve this we need to look at this quadrilateral as two shapes that share a side - a triangle and a rectangle.
You can see in the attatchment how I have drawn a dotted line indicating where they share a side.
From here we find the area of each shape seperately and add those areas together!
Rectangle:
Looking at the rectangle portion we can see that the width is 16 in and the length is 19 inches. Don't be fooled by the long 30 inch side. Remember, we are only looking at the portion that makes up the rectangle.
A = l*w = 16*19 = 304 inches squared
Triangle:
To find the area of the triangle, we use the formula A = (b*h)/2 where b = the length of the base and h = the height.
We can see in this attatched drawing that the height of the triangle is the same length as the width of the rectangle which is 16 inches.
To find the base, you can do one of two things.
1) use the pythagorian theorem (A^2 + B^2 = C^2) to solve for the missing side of the right triangle, where A is 16 inches, B is unknown and C is 19.4 inches.
2) *easier* using the information given, we can see that the longest side of this shape is 30 inches and is made up of the length of the rectangle (19 inches) and the base of the triangle (which is unkown - we can call it x)
Given that we know the total length and the length of the portion that belongs to the rectangle, we can say x = 30-19 = 11. Therefore the base of the rectangle is 11 inches.
From here we use b*h/2
11*16/2 = 88 = area of the triangle in square inches.
Now for the easy part - add up the areas for the total!
Area (rectangle) + Area (triangle) = Area (total)
304 + 88 = 392 square inches
help please? requestig help to a smart person?
[tex] \frac{150}{10} = \frac{300}{20} = \frac{450}{30} = \frac{600}{40} = 15[/tex]
[tex]for \: x = 15y[/tex]
[tex]50x = 50(15) = 750.00[/tex]
Option B :)find the distance between the follwing points: (-4,11), (3,5)
Answer:
43
Step-by-step explanation:
equation= sqrt (x2-x1)^2 + (y2-y1)^2
What points should I circle and in which point do they intersect?
I WILL MARK BRAINLIEST AND GIVE THANKS
Answer:
[tex]\displaystyle [3, -2][/tex]
Explanation:
All you do is substitute three in for [tex]\displaystyle x[/tex]to get the y-coordinate of [tex]\displaystyle -2.[/tex]This means that these equations meet at the ordered pair of [tex]\displaystyle [3, -2].[/tex]
I am joyous to assist you at any time.
can someone help me answer this
Answer:
sum the numbers of favorite food together.
pizza- 58.
hamburger- 36.
pasta- 14.
others- 17.
Addition of the favorite food will give us .
58+36+14+17=125.
pizza ..58/125 × 100 =46.4
Select the set of equations that is NOT equivalent to 8k = 20
Solve by completing the Square
[tex]2x^{2} +3x=20[/tex]
Step-by-step explanation:
2x²+3x=20
2x²+3x=20
(√2x)²+2(√2x)(3/2√2)+(3/2√2)²-(3/2√2)²=20
(√2x+3/2√2)²=20+9/8
(√2x+3/2√2)²= 169/8
(√2x+3/2√2)= ±13/2√2
√2x=10/2√2 or -16/2√2
x= 10/4 or -16/4
x= 5/2 or -4
Complete Steps 1 - 2 in order. Triangle ABC has an area of 25 square feet and a perimeter of 5 65.5 feet. AABC is dilated by a factor of to create 2 ADEE. X 10.
Answer:
163.75
Step-by-step explanation:
a scale factor applies normally to lengths (one-dimensional sizes).
and the perimeter is calculated just by lengths (the side lengths).
so, we can apply the scaling factor directly to the perimeter.
perimeter of DEF = 5/2 × perimeter of ABC = 5/2 × 65.5 =
= 163.75 ft
what was step 1 ? we did not need it ?
What is equilibrium, from an economic perspective? a. the theoretical price point at which demand equals supply b. a state of "all other things being equal" c. a condition in which no buying or selling is occurring d. an economy functioning without outside intervention
Answer:
A theoretical price point at which demand being equal
The theoretical price point at which demand equals supply is the correct answer.
What is equilibrium?Equilibrium is a state of balance or condition of stableness.
In economics, equilibrium is also the same, it is a condition in which prices become stable by the balance of market supply and demand.
It is a situation in which conditions cannot be changed by any economic agent strategy.
There are some properties of equilibrium
1. Consistency in the behavior of agents.
2. No economic agent has an incentive to change the behavior.
3. Equilibrium is the outcome of a few dynamic processes.
Therefore, the theoretical price point at which demand equals supply is the correct answer.
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lily wants to find out how many students in her school enjoy pizza. describe a method she could use to get a representative sample without asking every single student in her school
Using sampling concepts, it is found that she could use systematic sampling, asking one out of every 10 students for example, as long as it involves students of all possible groups.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, the most viable type is a systematic sample, asking one out of every 10 students for example, as long as it involves students of all possible groups.
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The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest ioth. Score Number of Students 55 8 60 6 65 3 70 4 75 9 80 3 85 3 90 4
Answer:
38.75
Step-by-step explanation:
Not sure what you mean by ioth but when you add up all the numbers and divide by n, you get 38.75 (hopefully you can round it to whatever you want)
I need help with this math question, please.
Sandra decides to alter the design of the rectangular lunch box so that one dimension of the bottom of the box is 1.25 times the height of the box, as shown in the diagram below. She still wants the volume of the box to be 355 in.^3. Write an equation in terms of W
The volume of the rectangular lunch box is the amount of space in it
The volume in terms of W is LW^2 = 443.75
How to determine the volume expression?The volume is given as:
V = 355
Let the width of the box be W, and the height be H; such that:
W = 1.25H
Make H the subject
H = W/1.25
The volume is calculated as:
V = LWH
So, we have:
355 = L * W * W/1.25
Multiply through by 1.25
443.75 = L * W * W
This gives
443.75 = LW^2
Rewrite as:
LW^2 = 443.75
The diagram is not given. So, the question cannot be solved further
Hence, the volume in terms of W is LW^2 = 443.75
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Eif=3:7
f: g=2:3
Work out
eig
Give your answer in its simplest form
The relationship between e, f and g is an illustration of ratio
The ratio e : g is 2 : 7
How to determine e : g?The given parameters are:
e : f = 3 : 7
f : g = 2 : 3
Multiply e : f by 2.
So, we have:
e : f = 6 : 14
Multiply f : g by 7.
So, we have:
f : g = 14 : 21
Merge both ratios
e : f : f : g = 6 : 14 : 14 : 21
Remove repetition
e : f : g = 6 : 14 : 21
Remove f
e : g = 6 : 21
Divide by 3
e : g = 2 : 7
Hence, the ratio e : g is 2 : 7
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I will mark brainliest for the first person to answer my question
Answer:
A. Line
<------------->
B. Angle
⦟
C. Line Segment
.___________.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
A cupcake shop makes 25 dozen cupcakes in 2 days, how many cupcakes are made in 5 days at this rate
A 600
B 650
D 750
D 900
Answer:
D. 750
Step-by-step explanation:
if the shop makes 25 dozen in 2 days that means it makes 300 cupcakes in 2 days because 1 dozen is 12 cupcakes, so you will see that they make 50 dozen in 4 days which is 600 then you know she is only going to be making half of that 25 dozen on the 5th day so you just take half of 300 which is 150 and add it all up: 300+300+150=750
The first two terms of an arithmetic sequence are 7 and 11. Which of the following is the value
of its 30th term
Answer:
123
Step-by-step explanation:
Add 4 enough times to 11 and you will get there.
What is the slope of the line that passes through the points (2,8) and (12,20)?
Write your answer in simplest form.
The slope of the required line is [tex]\frac{6}{5}[/tex].
Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .
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3.
Which expression is equivalent to -0.4(10.2x - 15 +2.2x)
a. -4.96x + 6
b. -4.96x - 6
C.-4.96x - 6.4
d. -4.96x + 6.4
Answer: -4.96x + 6
Step-by-step explanation:
In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.
-0.4 (10.2x-15+2.2x)
= - 4.08x +6 -0.88x
Now that you have this problem, combined like terms. What are the like terms in this problem?
The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.
-4.08x -0.88x +6
= -4.96x +6
This would be your final answer because nothing further can be done at this point.
hope this helps!