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3 years ago

If h(a)= 3a+5 and h (a) = 27 the what is the value of a?

Mathematics

2 answers:

Xelga [282]3 years ago

5 0

Answer: 22/3 or 7,(3)

Solution:

h(a)=3a+5

h(a)=27

3a+5=27

3a=27-5

3a=22

a=22/3

a=7,(3)

anzhelika [568]3 years ago

3 0

Hey there!

Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.

For example:

As you can see, they state that <em>(a) = 27, </em>so you insert 27 in for a in the function and it will look like this:

h(27) = 3(27) + 5

Now you solve on the right side of the equal sign:

3(27) = 81 (you multiply them)

81 + 5 = 86

When you plug the value of 27 in for a in this function, your output is equal to 86.

You might be interested in

Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys

il63 [147K]

Answer:

a) $P(x)=-0.042x^2+530x-18000$

b) $P'(x)=-0.084x+530$

$P'(4000)=194$

$P'(9500)=-268$

Step-by-step explanation:

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

$P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000$

This is the profit function.

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

$\frac{d}{dx}(x^n)=nx^{n-1}$

Now, we differentiate the profit function to get the marginal profit function (P'):

$P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530$

This is the marginal profit function , P'.

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

$P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194$

and

$P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268$

6 0

3 years ago

How many feet are in 42 inches

yarga [219]

Answer:

3.5 feet.

Step-by-step explanation:

There are 12 inches in a foot.

So, 42 ÷ 12 = 3.5.

Hope this helped, have a blessed day and best of luck!

7 0

3 years ago

Read 2 more answers

The width of a rectangle is 7y -7.5 feet and the length is 7.5y + 8 feet. Find the perimeter of the rectangle

galben [10]

Perimeter = length + length + width + width.

7y-7.5 + 7y-7.5 + 7.5y+8 + 7.5y +8

Combine like terms:

29y+1

The perimeter is 29y + 1 feet

5 0

3 years ago

I need the answer :(

madreJ [45]

Answer:

z = 62

y = 117

Step-by-step explanation:

118 and z are supplementary.

z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.

z = 180 - 118 Do the subtraction

z = 62 Answer

The interior angles of all quadrilaterals (convex) add up to 360 degrees.

y + z + 84 + 97 = 360 Given

62 + y + 84 + 97=360 Add

y + 243 = 360 Subtract 243 from both sides

y = 360 - 243 combine

y = 117 Answer

5 0

3 years ago

19c10x42c4/61c14 what would that equal to?

Pavlova-9 [17]

1680/61c2 Step-by-step explanation:

3 0

3 years ago