help 6th grade math i will give brainliest

Answer:

Step-by-step explanation:

f(x) = a(x - x₁)(x - x₂)     - factored form of the equation of the parabola with zeros x₁ and x₂

x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7

So:

f(x) = a(x - 2)(x + 7)     - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)

The parabola passing through point (1, 32) means if x=1 then f(x)=32

Then:

        32 = a(1 - 2)(1 + 7)  

        32 = a(-1)(8)  

        32 = - 8a

         a = - 4

Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):

                           f(x) = -4(x - 2)(x + 7)  

Expanding to standard form:

     f(x) = -4(x - 2)(x + 7)

     f(x) = -4(x² + 7x - 2x - 14)  

     f(x) = -4x² - 20x + 56  

The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is

f(x) = -4 ( x - 2 ) ( x + 7 )

Its standard form is

f(x) = -4x² - 20x + 56.

It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

We have,

To find the equation of a parabola we use the factored form of a quadratic equation.

f(x) = a ( x - m ) ( x - n)

Where a is the leading coefficient and m and n are the zeros of the quadratic.

The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,

m = 2

n = -7

Now the equation passes through (1, 32) = (1, 32) so we have,

32 = a ( 1 - 2 ) ( 1 - (-7) )

32 = a ( -1 ) ( 1 + 7 )

32 = a ( -1 )8

32 = -8a

a = -32 / 8

a = -4

We have,

m = 2

n = -7

a = -4

The equation of the parabola is:

f(x) = a ( x - m ) ( x - n)

f(x) = -4 ( x - 2 ) ( x + 7 )

We can expand to its standard form as:

f(x) = ( -4x + 8 ) ( x + 7 )

f(x) = -4x² - 28x + 8x + 56

f(x) = -4x² - 20x + 56

Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.

Learn more about parabola here:

https://brainly.com/question/4074088

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Answer:

i don't have the answer but this is the translation guys

Step-by-step explanation:

What is the relationship between the area of ​​the scale drawing and the area of ​​the actual basketball court? 4.2 inch scale A. Show how you can find the area of ​​1 inch: 20 feet D. Is the ratio of the actual area to the area in the drawing the same as the ratio of the court in the scale drawing B. Show how you can Find the length and width of the actual court. C. What is the area of ​​the actual basketball court? Show your work. the actual lengths and the lengths of the drawing? Explain your answer,

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

Answer:

true

Step-by-step explanation:

Two triangles are congruent if both of them have the same length of sides. Two rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.

Answer:

1.8

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6×3=18

Answer:

18

Step-by-step explanation:

Step-by-step explanation:

4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)

4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)

Answer:

Yes.  The difference between them are the same.  Both have the same number of units between them,

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Divide 2400 by 20 to get your answer! It may be wrong

Answer:

W = 40

L = 60

Step-by-step explanation:

L = 20 + W

L*W = 2400

(20 + W)*W = 2400

W^2 + 20*W - 2400 = 0

(W + 60)*(W - 40) = 0

W = 40 (yards)

L = 20 + W

= 20 + 40 = 60

W = 40

Answer:

Step-by-step explanation:

Step one:

Given data

Circle A

diamteter= 20 in

Area= 314 in^2 approx. 300in^2

Circle B

diamteter= 60 in

Area= 2826in^2 approx. 2700in^2

Step two:

Circle C

diamteter= 40 in

radius= 20 in

The expression for A is given as

A=πr^2

A=3.142*20^2

A=3.142*400

A=1256.8

The area of circle C is 1256.8in^2

Answer:

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]

Answer:

9 565 938

Step-by-step explanation:

Answer:

its answer is in high school is ten

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

Answer:

C.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

thx for 5 points

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

Answer:

C

Step-by-step explanation:

35+35+x=180

x=180-70

x=110

Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

Answer:

Step-by-step explanation:

Answer:

2. m∠4 + m∠5 = 210°

3. Alternate interior angles theorem.

4. 2 × m∠4 = 210°

5. 105°

Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Change fractions to have the same denominator or change them all to a decimal.  Then add.

Decimal method:

1 and 15/100 is equal to 1.15

1/50 is equal to 0.02

The final term is already a decimal

Add.  1.15 + 0.02 + 1.175 = 2.345

Answer:

The answer is 180 yds squared.

Step-by-step explanation:

Segment the areas.  One area has the measurements 5 and 6. Then the other one has measurements 15 and 10. This means you get 150 + 30. The answer is 180 yds squared.

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y - 8 = 0(x - 4) \\ y - 8 = 0 \\[/tex]

We have the final answer as

Hope this helps you

Answer: sorry i’m late ..

but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place

Step-by-step explanation:

i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!

Solve for k:

k = 4 (2 − 3p)/p + 4

Answer:

k =  4(2 - 3p)/(p + 4).

Step-by-step explanation:

p(k + 12) = 8 – 4k

pk + 12p = 8 - 4k

pk + 4k = 8 - 12p

k(p + 4) = 8 - 12p

k = (8 - 12p)/(p + 4)

k = 4(2 - 3p)/(p + 4).

Answer:

There are 480 lockers in school.

Step-by-step explanation:

480

Step-by-step explanation:

180÷3=60

60x5=300

300+180=480

Answer: it has to be D

Answer:

The Answer is D) Just did the test!!

Step-by-step explanation: