solve the following: 8x(x-5)-25=5x(x-6) ​

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

[tex]y=a(x-4)^2+(-7)[/tex]

[tex]y=a(x-4)^2-7[/tex]

The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.

Putting a=1, we get

[tex]y=(1)(x-4)^2-7[/tex]

[tex]y=(x^2-8x+16)-7[/tex]             [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=x^2-8x+9[/tex]

Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].

Answer:

59cm

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

convert 1/4 to eighths

1/4 x 2 = 2/8

2/8 yellow fabric - 1/8 red fabric = 1/8

Answer:

P(500<  xˉ <510)≈0.95

Step-by-step explanation:

Khan Academy

Answer:

25

Step-by-step explanation:

Answer:

Approximately [tex]17.6[/tex] percent

Step-by-step explanation:

To find a percentage, take the part, divide it by the whole, and multiply that quotient by 100. As an algebraic expression, that would be [tex]\frac{part}{whole}*100[/tex].

In this case, the part is [tex]12[/tex] and the whole is [tex]68[/tex]. Therefore, our answer is [tex]\frac{12}{68}*100\approx17.6[/tex] percent. Hope this helps!

Answer: About 17.6%

Step-by-step explanation: "Per" means 100. So, to get a percentage, we can divide the numerator by the denominator then multiply the quotient by 100. Or, you can say it like this: [tex]\frac{Numerator}{Denominator} =quotient*100[/tex]

As we see, 12 is the numerator, and 68 is the denominator. Now, we can divide.

12 ÷ 68 = 0.176

We're not done yet, we'll need to multiply the quotient by 100, as in the formula.

0.176 × 100 = 17.6

Hence, 17.6% is the answer.

Let me know if you have any questions or comments.

~ Lily, from Brainly.

Answer:

yaaa groooov

Step-by-step explanation:

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

Answer:

a 15

b 42

c 12

trust me

Answer: C) 25

Step-by-step explanation:

x²+10x+ __=16+ __

Only the square of 5, 5², which is 25, can make the two factors plus equal to 10x, so we need to add 25.

WHERE IS THE GRAPH. there needs to be a graph to answer the question

Answer:6

Step-by-step explanation:

Uop

Answer:

Step-by-step explanation:

k(k+1)(k+2) - 3k(k+1)

k and (k+1) are common to both terms.

k(k+1)(k+2) - 3k(k+1) = k(k+1)[(k+2) - 3] = k(k+1)(k-1)

Answer:

45°

Step-by-step explanation:

The angle with measure of 9x and the angle with measure of 3x are supplementary

9x + 3x = 180°

12x = 180 divide both sides by 12

x = 15

The angle with measure of 9x and angle a are supplementary as well

9x + a = 180

9×15 + a = 180

135 + a = 180 subtract 135 ftom both sides

a = 45°

Answer:

the answer is 4.8 brainy plss

Answer:

If all the bows are of equal size she will use 4.896 ft of ribbon for each bow

Step-by-step explanation:

24.48/5=4.896

Hope this helps :)

no xdxdxdxdxdxxdxdxdxdxdxdxdxdxddxd

Answer:

rectangles, squares, and right triangles

Answer:

[tex]\frac{1}{4}[/tex]×2[tex]\pi[/tex]r=17.5[tex]\pi[/tex]

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Isolate the variable x

x - 8 = -12

To isolate the variable, add 8 to both sides (this cancels the 8 out on the left side)

x - 8 + 8 = -12 + 8

x + 0 = -4

x = -4

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system

Step-by-step explanation:

Answer i am smart

Step-by-step explanation:

9514 1404 393

Answer:

  (d) ∠H ≅ ∠J

Step-by-step explanation:

We already know that ∠G is congruent to itself. If we show (by translation or other means) that ∠I ≅ ∠K, then we know that ΔGHI ~ ΔGJK. The third angle in each triangle will be congruent, too.

  ∠H ≅ ∠J

_____

The problem is concerned with angles, so the first two answer choices are irrelevant. If two angles are shown congruent, the triangles are congruent by AA similarity, so the third answer choice is incorrect.

Answer: D

Step-by-step explanation: