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3 years ago

What is 2 divided by 4 (3+8x + 5y) x7?

Mathematics

2 answers:

fredd [130]3 years ago

8 0

Answer:

89.6

Step-by-step explanation:

2 divided by 4 = 0.5

0.5 x 3 = 3.5

3.5+ 8=12.3

12.3 + 5 = 12.8

12.8 x 7= 89.6

mixas84 [53]3 years ago

6 0

It’s 0.875 I’m pretty sure

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If f(x) = 3x– 2 and g(x) = x^2– 5, what is g(f(2))?

Lunna [17]

Answer:

$\large\boxed{g\bigg(f(2)\bigg)=11}$

Step-by-step explanation:

$f(x)=3x-2,\ g(x)=x^2-5\\\\g\bigg(f(2)\bigg)=?\\\\\bold{STEP\ 1:}\\\text{Calculate}\ f(2).\\\text{Substitute}\ x=2\ \text{to}\ f(x):\\\\f(2)=3(2)-2=6-2=4\\\\\bold{STEP\ 2:}\\\text{Substitue}\ x=4\ \text{to}\ g(x):\\\\g(4)=4^2-5=16-5=11$

7 0

3 years ago

Find vertex of: <br><br> y=(x-4)(x+8)

ki77a [65]

Answer:

(-2,-36)

Step-by-step explanation:

$y=(x-4)(x+8)$

<u>1) Find the zeros of the parabola</u>

The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.

Therefore, x=4 and x=-8.

<u>2) Find the x-coordinate of the vertex</u>

To do this, we take the average of our zeros.

$\frac{4+(-8)}{2} \\=\frac{-4}{2} \\=-2$

Therefore, the x-coordinate of the vertex is -2.

<u>3) Find the y-coordinate of the vertex</u>

Plug the x-coordinate back into the original equation

$y=(-2-4)(-2+8)\\y=(-6)(6)\\y=-36$

Therefore, the y-coordinate of the vertex is -36.

Therefore, the vertex of the parabola is (-2,-36).

I hope this helps!

6 0

3 years ago

Can someone please help me with number 2?I don't know what I did wrong.

Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

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

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>

When going 70 mph, it takes about 3.08 hours
When going 55 mph, it takes about 3.92 hours

6 0

3 years ago

Leyla drops a penny from a height of 150 m.

gizmo_the_mogwai [7]

When the penny hits the ground, h will = 0.

So: Set h(t) = 0 = -4.9t^2 + 0t + 150 m

Then 4.9t^2 = 150, and so t^2 = sqrt(150 / 4.9) = plus or minus 5.53 sec.

We can use only the positive root, as we're measuring time.

t = 5.5 sec (answer)

8 0

3 years ago

Read 2 more answers

Could someone please help me with this?

Inga [223]

The answer is $10.40

8 0

3 years ago