Which ordered pair makes the inequality true? x + 4y > 10 (–3, –2) (–6, 4) (19, –2) (14,

Line v passes through point (6, 6) and is perpendicular to the graph of y = 3/4x - 11. Line w is parallel to line v and passes

allochka39001 [22]

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

Parallel lines have identical slopes

As our original line has a slope of 3/4, both lines v and w have slope of -4/3

This means that

C: y = -4/3x + 2

is the only possible option.

Let's check that the given point fits on this line.

10 = -4/3(-6) + 2

10 = 10

So our answer is correct.

7 0

3 years ago

Part 1: Assume that a bacteria population triples every hour. Which of the following three tables of data, with

svetlana [45]

Answer:

Table C

If the bacteria population triples every hour, it must multiply by three each time.

Table C fits this pattern

y | 1 | 3 | 9 | 27 | 81 | 243 | 729

1×3=3, 3×3=9, 9×3=27 etc.

4 0

3 years ago

Given the function, calculate the following values...

antiseptic1488 [7]

f(0) = 56

f(2) = 42

f(-2) = 70

f(x+1) = 7|x-7|

f(x²+2) = 7|x²-6|

Answered by GAUTHMATH

3 0

3 years ago

A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-‐

cricket20 [7]

Answer:

The final curse load of the local gym instructor is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-‐impact aerobics, 64 wanted low-‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-‐impact aerobics = 8/14.25 = 0.5614

Low-‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-‐impact aerobics = 0

Low-‐impact aerobics = 4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-‐impact aerobics with .5614.

The final course load is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

7 0

3 years ago

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?

viva [34]

Since the function is a parabola and there are no discontinuities, the domain is all real numbers. To determine the range, the function has to be transformed into the vertex form.
The vertex form of the function is:
f(x) = -(x+1)2 +16
This means that the graph is facing downwards with the vertex at (-1,16).
So, the range is {y|y ≤ 16}

4 0

3 years ago

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Which ordered pair makes the inequality true? x + 4y > 10 (–3, –2) (–6, 4) (19, –2) (14, –1)