What is the y-intercept of the graph of the equation y =(2x−3)^2+7

Answers

Answer 1

Answer:

(0,16)

Step-by-step explanation:

Hi there!

The y intercept is the value in which the parabola passes through the y axis

Therefore, the value of x at the y intercept is 0

So to find the value of the y intercept, substitute x as 0 in the equation.

y=(2x-3)^2 + 7

If x=0, then:

y=(2(0)-3)^2 + 7

Multiply

y=(0-3)^2 + 7

Subtract 3 from 0

y=(-3)^2 + 7

Raise -3 to the second power

y= 9 + 7

Add 9 and 7 together

y = 16

So the y intercept is the point (0,16)

Hope this helps!


Related Questions

Does the following relationship represent a function?

y = 5x

Answers

Answer:

yes because it does not have a exponent

Step-by-step explanation:

first to answer get brainliest thankss :)

Answers

Answer:

47

Step-by-step explanation:

First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.

Now that we have two angles of the triangle, we can set up the equation:

76+57+x=180

we have 180 because all three angles of any triangle equal 180.

solving for x:

simplify the equation, (x)+(76+57)=180

combine like terms, x+133=180

Subtract 133,  180−133=47

x=47.

Can someone help me with this one. I got it wrong

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

Evaluate the formula z=
x−μ
σ
n when μ=119​, n=29​, x=116​, and σ=9.

Answers

Answer:  -1.795

Work Shown:

[tex]z = \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\z = \frac{116-119}{\frac{9}{\sqrt{29}}}\\\\z \approx \frac{-3}{\frac{9}{5.3851648}}\\\\z \approx \frac{-3}{1.671258}\\\\z \approx -1.795055\\\\z \approx -1.795\\\\[/tex]


What is 48,956 rounded to the nearest ten thousand?

Answers

Answer:

50,000

Step-by-step explanation:

THE ANSWER IS 50,000

Help please I need help please

Answers

Answer:

25 and 100 I think

Step-by-step explanation:

because the line is between the 20 and the 30 so it its 25

I need help on Tales mathemathics below on image

Answers

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

what are the reasons?

Answers

Answer:

Step-by-step explanation:

1. ∠WVX , ∠YZX are right angled triangles       1.Given

2. WV ≅ YZ                                                          2. Given

3. X is the midpoint of WY                                  3. Given

4. WX ≅ YX                                                          4. definition of midpoint

5. ΔWVX ≅ ΔYZX                                               5. RH congruent

Which one is not a function? And why not ?

Answers

Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

HELP I HAVE A TEST TMR MORNING!!!!!!
A boat tied up at a dock bobs up and down with passing waves. The vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s.
Here is the equation that models this: [tex]f(x)=0.9sin(\frac{\pi }{2} x)[/tex]
^The y-coordinates are in m and the x coordinates is the time in seconds

b) Use the model to determine when, during each cycle, the boat is 0.5m above the mean positition.

BRAINLIEST!!!!

Answers

The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Since y = f(x) = 0.9sin(πx/2)

We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m

So, y = f(x) = 0.9sin(πx/2)

0.5 = 0.9sin(πx/2)

Dividing through by 0.9, we have

0.5/0.9 = sin(πx/2)

5/9 = sin(πx/2)

Taking inverse sine of both sides, we have

sin⁻¹(5/9) = πx/2

sin⁻¹(0.5556) = πx/2

0.589 rad = πx/2

x = 2 × 0.589/π

x = 1.178/π

x  = 0.375 s

Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...

So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Learn more about sine function here:

https://brainly.com/question/12102275

plz help need asap .............

Answers

I don’t know

BUT why did someone answer and say, “Sike sorry I don’t know.”?

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

A graph titled Brenda's Monthly Cell Phone Bill has hours used on the x-axis and cell phone bill (dollars) on the y-axis. Points plotted are (1, 27), (2, 39), and (3, 51).

Answers

Answer: Well all you have to do Is find the Rise over run.

Step-by-step explanation:

Then you will have your answer :)

Answer:

Step-by-step explanation:

12

For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk .05 miles per minute and jog .1 miles per minute. For how much time were you walking

Answers

Walking for 10 minutes

the perimeter of a school volleyball courts 177 feet and the length is twice the breath what are the denominations of the volleyball court​

Answers

Answer: L = 59 feet, W = 29.5 feet

Step-by-step explanation:

Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court.  We'll assume it is rectangular.

We know that the P of the rectangle is 2L+2W:  

 P = 2L+2W

We also are told that:

 L = 2W

We can use this definition of L in the forst equation:

P = 2L+2W

P = 2*(2W)+2W

P = 6W

P = 177 feet

Therefore 177 ft = 6W, and

W = 29.5 feet

The total for the length is 177 - 2W, or (177 - 59) ft

2L = (177 - 59)

2L = 118

L = 59 feet

I scared of exam how do i do

Answers

Answer:

.

Step-by-step explanation:



with complete solution please I need Thanks​

Answers

Answer:

14

Step-by-step explanation:

We can make this and equation

x • y = 1260

x = 3y +48

Our equation is

(3y +48)y = 1260

We get y = 14

Write x/2 - 2x + 4/ x + 1 as a single fraction, in its simplest form.

Answers

Answer:

x²-3x - 8 2(x + 1)

Explanation

Find common denominator and write the nu merators above common denominator:

x(x + 1) − (2x + 4) × 2

2(x + 1)

Apply Multiplicative Distribution Law :

x² + x - 4x = 8

2(x + 1)

Reorder and gather like terms:

x² + (x − 4x) — 8

2(x + 1)

Collect coefficients for the like terms:

x² + (1-4) × x-8

2(x + 1)

Calculate the sum or difference:x²-3x -8

2(x + 1)

Answer:

x²-3x - 8

2(x + 1)

Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.

Answers

Answer:

Above is the step-by-step solution

[tex]\\ \sf\longmapsto p\propto q [/tex]

[tex]\\ \sf\longmapsto p=kq[/tex]

Divide both sides by q

[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]

Now

[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]

Substitute√q

[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]

Substitute q=p/k

[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]

Done

alberto started out bench pressing 40 pounds, he then added 5 pounds every weeks

Answers

What’s the rest of the question?

Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answers

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

3x=15 question answer

Answers

Answer:

x=5

Step-by-step explanation:

To solve for the value of x, you have to get x by itself.  So to get rid of the 3, divide both sides by 3.  3x/3 leaves x.  15/3 leaves 5.  So you're left with x=5.

The solution of expression 3x = 15 is,

⇒ x = 5

We have to given that,

An expression to simplify,

⇒ 3x = 15

We can simplify the expression for value of x,

⇒ 3x = 15

Divide both side by 3,

⇒ 3x/3 = 15 / 3

⇒ x = 5

Therefore, The solution of expression 3x = 15 is,

⇒ x = 5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

(PLEASE HELP!!)

Use the given figure to complete the statement below.

∠1 and ∠2 are what
angles?

-Congruent
-Similar
-Supplementary
-Complementary

Answers

congruent because 2 is a larger number then one and 1 is a smalled number then 2

B.

Which postulate or theorem proves that these two triangles are

congruent?

O ASA Congruence Postulate

А

SAS Congruence Postulate

OHL Congruence Theorem

AAS Congruence Theorem

Answers

Please attach an image so I can help you. Thanks

These triangles are congruent by the AAS Congruence Theorem.

What is Congruence Theorem?

Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.

Given is a figure, we need to find that which theorem proves that these two triangles are congruent

In Δ MNR and Δ QNP

∠ MNR = ∠ QNP (Vertically opposite angle property)

∠ RMN = ∠ QPN (Corresponding angle property)

RN = NQ (As given in the diagram)

Therefore,

Δ MNR ≅ Δ QNP by AAS rule

Hence proved

Learn more about Congruence Theorem, click;

https://brainly.com/question/19258025

#SPJ7

The figure is not given, so the question has been solved for the attached one.

Jim has $84,410 in a savings account that earns 15% interest per year. How much will he have in 4 years?​

Answers

I dont know im sad because i dont know

Round 14.63486 to 3 decimal place

Answers

Answer:

15 would be the rounded up number.

14.635
You wanna look at the 4th number after the decimal which is 8 meaning the third number will round up from 4 to 5

Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?​

Answers

Answer:

5*9= 45

Step-by-step explanation

Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45

Find the total surface area in square units of the figure below by creating a net.

Answers

So , start if by 5x10 = 50 50x3= 150
That’s the area for our rectangles
Then 8x6=48 this is normally divided in half but since there are 2 triangles it can just remain that way , so 150+48=198 I think I’m correct

Help last day !!!!!!!!!!!!!!!

Answers

Answer:

The equation of the lines with the given point does not have a y-intercept of 4 but has a y-intercept of -4.

Step-by-step explanation:

y-intercept is 4

addition ordered pairs on the line are (2, -2), (4, 0), (6, 2), (8, 4)

Find the slope using two of the points: (2, -2), (4, 0).

Slope = (change in the y values)/(change in the x values0

Slope = [0 -(-2)]/ (4 - 2) =   2/ 2 = 1

Checking to see if the y-intercept is 4 substituting  slope (m) = 1 and (2, - 2)

      y = mx + b

     -2 = 1(2) + b

     -2 = 2 + b

  -2 - 2 = b

    -4 = b   so we know that the y-intercept is not 4 but it is -4.

Now write the equation of the line using a slope = 1 and y-intercept of -4

y = mx + b

y = x - 4

Next check the other points into the equation of the line to see if the equation is correct.

x = 2   did y = -2 ?    y = x - 4;   y = 2 - 4 ; y = -2     point (2, -2) works.

x  = 4   did y = 0?     y = x - 4;  y = 4 - 4;  y = 0       point (4,0)  works.

x = 6    did y = 2?     y = x - 4;  y = 6 - 4; y = 2         point (6, 2) works.

x = 8     did y = 4?     y = x - 4; y = 8 - 4;  y = 4        point (8, 4) works.

Find the angles a, b, c and d.

Answers

The angles are…
A=101
B=79
C=83
D=97

Can someone please give me examples of linear, quadratic, Absolute value, square root, cubic, cube root, exponential, logarithmic, and rational function (parent function) equations to help my friend? Please and thank you. I'll give brainliest to the first person who does all of them and get them right.

Answers

Answer:

Step-by-step explanation:

Consider the cube root parent function.

( graph in photo below )

Complete the statements to make them true.

A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.

For the parent cube root function, ( 3 ) ____________ located at .

Answer:

1. always

2. always

3. both intercepts are

the explination photos below

Answer:

I got you

[tex]f(x)=3x+2[/tex]

[tex]f(x)=4x^2+3x+7[/tex]

[tex]f(x)=|x+4|[/tex]

[tex]f(x)=\sqrt{x+12}[/tex]

[tex]f(x)=6x^3+4x^2-3x-5[/tex]

[tex]f(x)=\sqrt[3]{3x-5}[/tex]

[tex]f(x)=2^x[/tex]

[tex]f(x)=log_3(x)[/tex]

[tex]f(x)=\frac{x+5}{x-3}[/tex]

Each function is respective to the order of the list given.

Let me know if you want the graphs

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