Describe how the graph of y=lxl – 7 is like the graph of y=lxl and how it is different.

Answer:

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

Step-by-step explanation:

x-coordinate of the vertex of a parabola is ( [tex]- \frac{b}{2a}[/tex] )

y = f(x) = ax² + bx + c

(x, y) ∈ f(x)

~~~~~~~~~

{ (0, - 2), (3, - 5) } ⊂ { (x, y): y = ax² + bx + c }

a(0)² + b(0) + c = - 2 ⇒ c = - 2

a(3)² + b(3) + ( - 2) = - 5  

9a + 3b - 2 = - 5 ⇒ 3a + b = - 1

[tex]- \frac{b}{2a}[/tex] = 3 ⇒ b = - 6a

[tex]\left \{ {{3a+b=-1} \atop {b=-6a}} \right.[/tex]

3a + ( - 6a) = - 1

a = [tex]\frac{1}{3}[/tex]

b = - 2

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

The equation of the parabola for the given values is y = x²/3 - 2x - 2.

A parabola is the part of the conic section of which the points are equidistant from a fixed line called as directrix and a fixed point known as focus.

The general equation for the parabola is given as,

y = ax² + bx + c

Where c is the y-intercept.

Substitute c = -2 as per the question to obtain,

y = ax² + bx - 2

At (3,-5) the parabola has minimum value which implies y' = 0 as below,

y' = 2ax + b = 0

Substitute x = 3 to obtain,

2a × 3 + b = 0

=> -6a = b

And, y = -5 at x = 3 which gives,

-5 = 3²a + 3b - 2

=> 9a + 3b = -3

Substitute b = -6a to get,

9a - 18a = -3

=> a = 1/3

Which implies b = -6 × 1/3 = -2

Now, the equation for the parabola becomes as below,

y = x²/3 - 2x - 2

Hence, the required equation of the parabola is obtained as y = x²/3 - 2x - 2.

To know about parabola click on,

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Answer:

44.1°C

Step-by-step explanation:

This tetratomic vapor condenses to liquid white phosphorus which freezes at 44.1°C to solid white phosphorus, a soft, waxy, colorless material.

Answer: 2646kg

Hope this helps

Answer:

No links sorry :<

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3 times steep means slope is 3 times

slope=4

new slope =3×4=12

translated 7 down means y intercept-7=1-7=-6

so new eq. is y=12x-6

Answer:

A

Step-by-step explanation:

So we know that the slope is 4, and we want to make it 3 times as steep, so that would be 12. The y-intercept is one and we want to move it down 7 units, 6-7= -1. So our final answer would be y= 12x-6!

Answer:

5

Step-by-step explanation:

-2^2=-4

3^2=9

add

-4+9=5

Answer:

y>0,        -3>x> -1

y<0,        -3<x<-1

y = 0,       x = -3 and x = -1

Step-by-step explanation:

Answer:

Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.

Have a good day!

Answer:

100cm^2

Step-by-step explanation:

5×2=10 which is one side

base×height=area

10×10=100

Answer: 2 units long

Answer: sarah ran 150 miles in 12 weeks

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

by subsitution,elimination and comparison

Answer:

D. (-2, 1).

Step-by-step explanation:

y = 3x + 7

y = -2x - 3

AS the expressions on the right are both equal to y:

3x + 7 = -2x - 3

3x + 2x = -3 - 7

5x = -10

x = -2

Plug this into the first equation:

y = 3(-2) + 7

y = 1.

Answer:

D, -2, 1

Step-by-step explanation:

Just got it correct on ap-x

Answer:

1.5

Step-by-step explanation:

You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.

Answer:

11012.4

Step-by-step explanation:

4 + 11000 = 11004

11004 + 8.4 = 11012.4

Step-by-step explanation:

Given,

1. The given expression is [tex]\sqrt[10]{x^9}[/tex].

We need to write it into exponential form.

We know that,

[tex]\sqrt[a]{x} =x^{1/a}[/tex]

Here, a = 10

So,

[tex]\sqrt[10]{x^9}=(x^9)^{1/10}\\\\=x^{9\times \dfrac{1}{10}}\\\\=x^{9/10}\\\\=x^{0.1}[/tex]

2.

[tex](\sqrt[4]{3y} )^3\\\\=((3y)^3)^{1/4}\\\\=3^{3\times \dfrac{1}{4}}\times y^{3\times \dfrac{1}{4}}\\\\=3^{3/4}y^{3/4}[/tex]

Hence, this is the required solution.

Answer:

-23

Step-by-step explanation:

Given 4v-3

evaluate when v = -5

So basically we want to find the value of the expression when the variable (v) equals -5

so

* plug in -5 for v*

4(-5)-3

4*-5=-20

-20-3=-23

So we can conclude that when v = -5 the value of the expression is -23

Answer:

Explanation:

given the expression: 4v-3

if  v = -5

4v-3 (let's subsitute v)

4v-3 = 4×(-5)-3

4v-3 = -20 - 3

4v-3 = -23

Answer:

it should be 47 because of (3x-4)

Step-by-step explanation:

Answer:

23:22

Step-by-step explanation:

Answer:

im not sure

Step-by-step explanation:

Answer:

the answer is 135

Step-by-step explanation:

Answer:

4 over 9, 4/9

Step-by-step explanation:

have a good day:)

Answer:

sin ∅ = 24/25

Step-by-step explanation:

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

We are asked to find sin ∅

The trig function sin = opposite over hypotenuse

so we need to find the opposite side length of the indicated angle (∅)

The opposite side length is equal to 24

Then we find the hypotenuse ( the longest side length ) which would be 25

so sin ∅ = 24/25

Answer:

$0.18

Step-by-step explanation:

Given that :

Number of bananas purchased = 8

Cost at which the 8 bananas were purchased = $1.44

The unit price of bananas can be obtained using the relation :

Total Cost of bananas / number of bananas

Unit price = $1.44 / 8

Unit price = $0.18

Price per unit of banana = $0.18

Answer:

625

Step-by-step explanation:

it is essentially 5*5*5*5

Answer:

the first pic is 400 and the

second pic u got right its 500

Answer:

2. 400       1. 500    5.  160     3.  560

I went in order of the pictures so the numbers are weird.

Answer:

I need help with the answer as well

Step-by-step explanation:

Answer:

6(6a-2b)

Step-by-step explanation:

Answer:

6(6a-2b)

Step-by-step explanation:

if you multiply the 6 by what's in parenthesis you get 36a-12b

Answer:

C

Step-by-step explanation:

There is a larger variety of lengths in the 9th grade textbook

Answer:

I would go with option 4

Step-by-step explanation:

Answer:

[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]

[tex]\frac{x}{sin25} = \frac{32}{sin90}[/tex]

[tex]x = \frac{32sin25}{sin90}[/tex]

[tex]x = 13.5[/tex]

Hope this helps! Have a great day... please mark as brainliest :0 :))

Step-by-step explanation: