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Nataly_w [17]
2 years ago
10

Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to

evaluate it when n = 6. Her work is shown below.
Step 1: mc021-1.jpg
Step 2: mc021-2.jpg
Step 3: mc021-3.jpg
Step 4: mc021-4.jpg
Step 5: 7

In which step did she make an error?
step 1
step 2
step 4
step 5
Mathematics
1 answer:
NeTakaya2 years ago
7 0
Given that the steps are not shown, I am going to show you all the rigtht steps in detail and so you will be able to compare and tell which step from you list contains an error:

1) Traslation into algebraic language:

<span>“three less than the quotient of a number squared and nine, increased by eight”

3 - (n^2) / 9

2) Evaluate it when n = 6 (replace the value of n)

3 - (3^2) / 9

3) solve the parenthesis

3 - 9/9

4) divide 9/9

3 - 1

5) Subtract

2
</span>
Now you know all the steps and can tell which of the steps on the list is wrong.
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The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
Brilliant_brown [7]

Answer:

x = 20

x = 140

Step-by-step explanation:

Find the equation for profit P

P = R - C

Substitute the equations for R and C then simplify.

P = 100x − 0.5x² - (20x + 700)

P = -0.5x² + 80x - 700

Find the values of x when profit is $700

P = -0.5x² + 80x - 700

700 = -0.5x² + 80x - 700

0 = -0.5x² + 80x - 1400

This is in the standard form 0 = ax² + bx + c

Use the quadratic formula to find values of x

x = \frac{-b±\sqrt{b^{2}-4ac}  }{2a}

(Ignore Â)

Substitute a b and c.

a = -0.5

b = 80

c = -1400

x = \frac{-(80)±\sqrt{80^{2}-4(-0.5)(-1400)}  }{2(-0.5)}

x = \frac{-80±60}{-1}

Split the formula at the ± so that there are two to get the two x values.

x = \frac{-80+60}{-1}

x = \frac{-80-60}{-1}

x = 20

x = 140

The profit will be $700 when x is 20 or when x is 140.

5 0
2 years ago
The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x do
alexdok [17]

Answer:

D,B,C,A

Step-by-step explanation:

Look at the picture

:)

8 0
1 year ago
On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

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So, the coordinates of B are (-1, -2)

3 0
2 years ago
The statement below describes a situation in which opposite quantities combine to make 0. Is the statement true or false? A plan
Nadusha1986 [10]
I believe this is true....lets say the plane takes off and goes up 500 ft.....it circles, but then it has to come back down...land...so it comes down 500 ft...
500 - 500 = 0
5 0
2 years ago
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Answer:

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Step-by-step explanation:

You must first find out how much the daffodil grew over the 8 days:

0.05 x 8 = 0.4

Then you must add how much it grew to the original height:

0.4 + 0.8 = 1.2

Hope this helps you out! : )

8 0
2 years ago
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