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2 years ago

2) Which equation could represent a line that is perpendicular to y= -2x + 4?

Mathematics

2 answers:

Dmitrij [34]2 years ago

7 0

Answer:

the answer would be y= 1/2x

Step-by-step explanation:

you didn't tell us the multiple choice, but the slope should be 1/2x

pshichka [43]2 years ago

6 0

Answer:

Perpendicular lines have a slope that is the negative reciprocal of the given line.

For example, if a given line has the slope 3/2, the the perpendicular line would have the slope -2/3.

For the given line: y = 4x - 7, the perpendicular line would have a slope of -1/4

There isn't enough info in the question to determine the y-intercept. Literally, any y-intercept could work and the line would still be perpendicular. Is the line supposed to pass through a certain point?

Your answer would be something like: y = -1/4 x + b

b is the y-intercept...if your question paper is multiple choice, choose the answer with the slope of -1/4. If it's supposed to pass through a certain point (x,y) replace x and y with the values in that point and solve for b to get the y-intercept.

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Classify the scenarios based on whether they are observational studies, experiments, or surveys. Scenario A: Twenty employees of

viktelen [127]

Answer:

Just took test, got it right. In the following:

Step-by-step explanation:

Scenarios:

A- Survey

B- Observation

C- Experiment

D- Survey

6 0

2 years ago

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $620

nikdorinn [45]

Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

= 1.69x - 0.9x - 6200

= 0.79x - 6200

8 0

2 years ago

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

2 years ago

The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:

galina1969 [7]

Step 1 gives you
3*(4x - 2) on the left hand side.

When you remove the brackets what you get is
3*4x - 3*2
12 x - 6 You have to distribute on both sides of the plus sign. The answer is the second one down.

So the answer is 2) <<<< answer.

8 0

2 years ago

Read 2 more answers

Write the slope of the line (–12, -6) and (8, 9).<br> m=4/3<br> m=-3/4<br> m=-4/3<br> m=3/4

Greeley [361]

Answer:

m=3/4

Step-by-step explanation:

3 0

2 years ago