All categories

3 years ago

Select two answers please!!!!!

Mathematics

1 answer:

Alex3 years ago

6 0

Expanding using the distributive property, we get (x-5)*(x-5)=x^2-5x-5x+25=x^2-10x+25. Multiplying that by -6, we get -6x^2+60x-150 . We then add 12 at the end to get -6x^2+60x-138. Using the quadratic formula (since we want the function to equal 0 to find the zeros), we get x=(-60+-sqrt(3600-3312))/(-6*2)=(-60+-sqrt(288))/-12. For sqrt(288), since 12^2=144 and 144*2=288, we can rewrite it as 12*sqrt(2). Putting that back in, we get
(-60+-(12*sqrt(2))/-12. Factoring it out, we get -5+-sqrt(2)=-5+sqrt(2) or -5-sqrt(2) which is C

You might be interested in

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

Andrej [43]

The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

y = –3x^2 – 12x – 2
y + 2 = –3(x^2 + 4x)
y + 2 -12 = –3(x^2 + 4x + 4)
y - 10 = -3(x+2)^2

Therefore, the answer is the first option.

3 0

3 years ago

Read 2 more answers

What is the value of the negative zero of the function, f, defined by f(x) = x^2 - 16

Lelu [443]

Answer:

x = -4

Step-by-step explanation:

f(x) = x² - 16

This is the difference of squares

which factors as

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

Therefor the negative zero is

x = -4

8 0

3 years ago

Maths Pls help me!!!!

Leokris [45]

9514 1404 393

Answer:

P(0, 4), Q(-3, 0)

Step-by-step explanation:

To find the y-coordinate of P, replace x with 0 and solve for y:

3y = 12

y = 4 . . . . . divide by 3

To find the x-coordinate of Q, replace y with 0 and solve for x:

-4x = 12

x = -3 . . . . . divide by -4

Then the intercepts are P(0, 4) and Q(-3, 0). The line is drawn through those points for the indicated values of x.

8 0

3 years ago

Please help!!!!!!!!!!

Troyanec [42]

Answer:

Step-by-step explanation:

p + n + d + q = 25

Put everything into quarters.

p and q are equally likely to be drawn

q + n + d + q = 25

There are 3 times as many nickels as quarters

n = 3q

q + 3q + d + q = 25

There is 25% more dimes than quarters.

d = 1.25 q

q + 3q + 1.25q + q = 25

6.25 q = 25

q = 25/6,25

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

q = 4

p = 4

d = 1.25 * 4 = 5

n = 12

8 0

3 years ago

In this exercise, we consider finding the first five coefficients in the series solution of the first-order linear initial value

Ghella [55]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images for the step by step explanation for the answer to the question

7 0

3 years ago