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MakcuM [25]
3 years ago
7

Question is on the photo. Thanks!

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

g(x) = 4x + 2

Step-by-step explanation:

f(x) = x + 2

f(4x) = 4x + 2

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Please help me?!<br> I need help!?
Olin [163]

Answer:

Area = 6.25\pi ft^2

Step-by-step explanation:

Area = \pi \\r^{2}

The diameter is 5 feet.  That makes the radius 2.5 feet

Area = \pi \\r^{2}

Area = \pi \\2.5^{2}

Area = 6.25\pi ft^2

6 0
2 years ago
Jacob leaves his summer cottage and drives home. After
krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from  home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km =  (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0
3 years ago
You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 34 hours this week and e
natulia [17]

Answer: $15.94

Step-by-step explanation:

Let r be your rate you get paid per hour normally. Let's set up this equation.

(30 * r) + 4(1.5 * r) = 573.83

30r + 6r = 573.83

36r = 573.83

r = 15.94 (rounded)

You get paid $15.94 hourly.

8 0
2 years ago
Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height
Elena L [17]

The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct

<u>Solution:</u>

Given, Rob is making a tent out of canvas in the shape of a square pyramid.  Each side of the square base is 6 feet long, and the height is 6.3 feet.  

Rob filled the tent with balloons,  

We have to find which measurement BEST describes the amount of balloons in the tent?  

As tent if filled with balloons the amount of balloons equals with volume of tent.

<em><u>Volume of tent is given as:</u></em>

\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}

where "a" is side length and "h" is height.

\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}

Hence, from the given options, approximately, option D is correct.  

6 0
3 years ago
Read 2 more answers
What is the product?
sweet-ann [11.9K]

Answer:

C

Step-by-step explanation:

(2x-3)(4x+5)

=2x(4x+5)-3(4x+5)

=8x^2+10x-12x-15

=8x^2-2x-15

4 0
2 years ago
Read 2 more answers
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