The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown.f(x) = 3(x2 – 8x) + 10

(-8/2)^2 = 16

What is the function written in vertex form?
A.f(x) = 3(x + 4)2 – 6
B.f(x) = 3(x + 4)2 – 38
C.f(x) = 3(x – 4)2 – 6
D.f(x) = 3(x – 4)2 – 38

Answers

Answer 1

Answer: Following the steps already shown to transform the given function into the vertex form, we have:

f(x) = 3(x2 - 8x + 16) + 10 - 3(16)
f(x) = 3(x - 4)(x - 4) + 10 - 48
f(x) = 3(x - 4)2 - 38

Therefore, the function written in vertex form is:
D.f(x) = 3(x – 4)2 – 38

Answer 2

Answer: The vertex form has the general form of:

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

We have the given equation:

f(x) = 3x^2 – 24x + 10

f(x) - 10 + 3(16) = 3(x^2 -8x + 16)
f(x) + 38 = 3(x - 4)^2
f(x) = 3 (x-4)^2 -38

Then, the correct answer is D.

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The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)?(−6, −5)

(−2, −5)

(2, −5)

(6, −5)

Answers

Hello,

Answer C (2,-5)

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If school starts at 8:30 a.m. and ends at 3:20 p.m., how long is the school day?5 hours and 10 minutes
11 hours and 50 minutes
6 hours and 50 minutes
6 hours and 10 minutes

Answers

The school day is 6 hours and 50 mins long.

Given to us,

school starts at 8:30 a.m.

ends at 3:20 p.m.,

To understand it easier, Let's round of the time to the nearest values,

8:30 a.m. ≈ 9:00 A.m.

3:20 p.m. ≈ 3:00 p.m.

Now, as we can see at 8:30 a.m. to 9:00 A.m., there is an extra time of 30 mins while at 3:20 p.m. to 3:00 p.m., there is an extra time of 20 mins, therefore we will have an extra time of 50 mins overall if we calculate the time from 9:00 A.M. to 3:00 p.m.

Calculation

dividing the time from 9:00 a.m. to 3:00 p.m. into two parts,

9:00 a.m. to 3:00 p.m = 9:00 a.m. to 12:00 p.m + 12:00 p.m. to 3:00 p.m

From 9:00 a.m. to 12:00 p.m the difference is of 3 hours, and the difference from 12:00 p.m. to 3:00 p.m is also 3 hours.

Therefore, the time between 9:00 a.m. to 3:00 p.m is of six hours but we also have extra 50 mins left.

Hence, the school day is 6 hours and 50 mins long.

Learn more about Time:

brainly.com/question/2570752

School day is 6 hours and 50 minutes long.

Solve for z in terms of v, w, x, and y.
vy = -ZWx
Z =
I

Answers

Answer:

lots of letters

Step-by-step explanation:

Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.

Answers

angle1 + angle2 = 180°(because they are a linear pair)
or, (x-36) + (x+84) = 180
or, x - 36 + x + 84 = 180
or, 2x + 48 = 180
or, 2x = 180 - 48
or, 2x = 132
or, x = 132/2
therefore, x = 66
angle1 = (x - 36) = 66-36 = 30°
angle2 = (x+84) = 66+ 84 =150°

linear pair means supplementary so
x-36+x+84=180
2x+48=180
2x=132
x=66
Therefore angle 1 is 30 while angle 2 is 150

suppose the equation for line A is given by 2x-5y=15, if line A and B are parallel and the point (-10,3) lies on line B, then write the equation in slope intercept for line b.

Answers

Answer:

y=2/5x + 7

Step-by-step explanation:

First, you have to rewrite 2x-5y=15 to slop intercept form.

To do that you have to first subtract 2x from both side to cancel it out.

2x- 2x-5y= 15 -2x.

-5y= -2x+15

Next, you divide 5 on both side to leave the y by itself.

y= -2x/-5 + 15/-5

Simplify

y= 2/5x + (-3) 2/5 is our slope

Now that we found the slope, we need to the y-intercept of line b

y=2/5x + b

To find the y-intercept, we substitue x and y with the coordinates (-10,3)

3= 2/5(-10) +b

Now we just solve for b

3= -4 +b

3-(-4) = b

7=b

Now we have identified that 7 is the y intercept

The full equation is y= 2/5x +7

I hope this helped :)

When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backward.• One jump equals how many steps?