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

Nikola buys a bouquet of 8 sunflowers for $18
what is the cost for 1 sunflower?

Answers

It’s either $2 or $1.50

Use the quadratic formula to solve x2 – 3x - 2 = 0

Answers

Answer:

C

Step-by-step explanation:

C

Answer:

c

Step-by-step explanation:

c is the answer to this problem

7990 was rounded to the nearest ten. What is the lower bound?

Answers

Here we will tell you what 7990 is rounded to the nearest ten and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the ten that is nearest to 7990.

First, 7990 rounded to the nearest ten is:

7990

(23+7)×4
=
+7×4
=
×4
=

Answers

Answer:

Step-by-step explanation:

i showspeed

PEMDAS
Do the parentheses first (23+7) is 30
after that do 30 x 4 which gives you 120

the person who answes my question can u stay because i have more thankyou

Answers

Answer:

c. 60 mins

Step-by-step explanation:

12 * 5 = 60

15 * 4 = 60

A pancake recipe calls for one egg for every three cups of flour. How many cups of flour do you need for four eggs?

Answers

Answer:

its multiplication 4 times 3 the product is 12

Step-by-step explanation:

a
Lucy has a coin collection. She keeps 3 of the coins in her box, which is 25% of the
collection. How many total coins are in her collection?
Multiply/scale up to solve.
coins
3
25
100
percent

Answers

Answer:

3x4=12

12 coins in her collection

Step-by-step explanation:

25x4=100%

Marty's class collected $38.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class. how much money did tims class collect

Answers

Answer: $11

Step-by-step explanation:

To have the same:

11+8=19

19×2=38

Answer:

It would be $11

Step-by-step explanation:

Hope it helps (Could you mark brainliest please)

Which system of inequalities is shown?

a.y > x
y > 2

b. y > x
y < 2

c. y < x
y < 2

d. y < x
y > 2

Answers

Answer: Choice C

y < x

y < 2

==================================================

Explanation:

The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)

Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)

-------------

At the same time, we're also shading below the line y = x to form the inequality y < x.

So that's how we end up with this system

[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]

which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.

What number is 73% of 14.6

Answers

Answer:

10.658

hope it helps

Answer:

10.658

Step-by-step explanation:

14.6 = 100%

? = 73%

73% ÷ 100% x 14.6

= 10.658

10.658 = 73%

Graph the following features: Slope = 4 Y-intercept = 4​

Answers

Answer:

Step-by-step explanation:

Equation of the line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

m=4b=4

[tex]\\ \sf\longmapsto y=4x+4[/tex]

The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.

a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.

y = _______

b. Interpret the slope and y-intercept of the line of fit.

Answers

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

Find out more at: https://brainly.com/question/13911928

It takes Martin 20 minutes to walk 5 laps around the school track what is the unit rate that Martin walk around the school track

Answers

Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

solve pls brainliest

Answers

Answer:5868<9845<91387<969156

Step-by-step explanation:

I'll also give brainliest to the first to answer
1+1=x
A) x=1
B) x=2
C) x=3
D) x=4

Answers

Answer:

B) x = 2

Step-by-step explanation:

1 + 1 = x

2 = x

1 + 1 = 2

What is 9% as a fraction or mixed number in simplest form?

Answers

Answer:

9/100

Step-by-step explanation:

9×100 = 9/100 I think

4−(−8)= please help i need it now

Answers

Answer:

Step-by-step explanation:

PLEASE HELP GIVING BRAINLIEST! :)
--------------------------------------------------------------------------------

Which is the correct translation of the sentence into an equation?

Four less than a number is 12.

A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4

Answers

Answer:

B

Step-by-step explanation:

n is a number. 4 less then that number translates to n-4, so the answer is B:

n-4=12

Hope that helps! :)

Answer:

C: n-4= 12

Step-by-step explanation:

To understand why this answer is correct, lets break down the sentence.

Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.

Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.

sorry last one!!
3 × x[tex]x^{2}[/tex] × y × 4z × x × 2y × z

Answers

[tex]\red{\bold{Answer:}}[/tex]

z1 Multiplied by z1 = z(1 + 1) = z2

[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]

= (3•2³x3y2z²)

Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit

Answers

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

what is 3(a+b)-2(a-b)​

Answers

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

A yard is 33.22 m long and 17.2 m wide.
(a) What length of fence must be purchased to enclose the entire yard?

(b) What area must be covered if the yard is to be fertilized? PLEASE HELP FOR A TEST

Answers

Answer:

A. = 100.84 m

B. 571.384 cubic m

Step-by-step explanation:

a.

33.22+33.22+17.2+17.2 =100.84m

b.

33.22x17.2 = 571.384 m2

".

Measure these angles.

a)

b)

Answers

I can’t see any of the angles there

Find five rational numbers between ⅗ and ⅘.

Answers

Answer:

2/3, 3/4, 7/10, 11/17, 13/17

Step-by-step explanation:

2/3,3/4,7/10,11/17, 13/17

832.078107648 to the nearest whole number.

Answers

832 is rounded to the nearest whole number

A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?

f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x

Answers

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?

Answers

Answer:

(3/4)pi

Step-by-step explanation:

Find the areas of the two circles and then subtract the smaller from the larger:

A of circle = (pi)r^2

Case 1:  r = 1 unit:  A = (pi)(1) = pi

Case 2:  r = 1/2 unit:  A = (pi)(1/2)^2 = pi/4

The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi

How do I rewrite the following expression is there a form 1/4 (4x+8) please help me it’s gonna help my grade

Answers

Answer:

You can expand this with this rule:

[tex]a(b+c)=ab+ac[/tex]

Similarly,

[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]

[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]

A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.

Answers

Step-by-step explanation:

So we are given 2 coordinates.

so in a linear equation, we have the given function:

y=mx+b

thus we should have an x value and a y value.

So let's set x to be the hours and y be the cost

With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2

so with that being said,

7.75-5.5/7-4=m

2.25/3=m

.75=m

This is our slope.

Our formula will look like this: y=0.75x

Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked

y=0.75(3)

y=2.25

The cost to park for 3 hours will be $2.25

Hope This Helps :D

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.

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