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Veseljchak [2.6K]

3 years ago

14

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

1 answer:

patriot [66]3 years ago

8 0

y = 4x - 10. The linear functions y = 4x - 10 represent the line given by the point-slope equation y - 2 = 4(x - 3).

In order to solve this problem, we have to take the point-slope equation y - 2 = 4(x - 3) and convert it to the linear function form y = mx + b as follow:

y - 2 = 4(x - 3)

y - 2 = 4(x) - (4)(3)

y - 2 = 4x - 12

y - 2 + 2 = 4x -12 +2

y = 4x - 10 (Linear function)

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If the perimeter of a four sided figure is 124m, determine the maximum area that can be obtained

MAXImum [283]

Just do a square and do 124/4= 31 and then to get the area you do length multiplied by length which is 31 X 31 which equals 961m squared.
Hope this helps

8 0

3 years ago

Helga [31]

Answer:

The probability that a high school member selected at random is on the swim team is $\frac{9}{40} = 0.225$

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

$P(A) = \frac{200}{1500}$

Probability of selecting a high school student who swims:

Of the 1500 students, 45 are high school students who swim. So

$P(A \cap B) = \frac{45}{1500}$

What is the probability that a high school member selected at random is on the swim team?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225$

The probability that a high school member selected at random is on the swim team is $\frac{9}{40} = 0.225$

4 0

3 years ago

What is the rate of change of a line that passes through the points (-3,5) and (2,-1)?

lara [203]

Answer:

3/4

Step-by-step explanation:

The slope of the line is

m = (y2-y1)/(x2-x1)

= (-2--5)/(6-2)

= (-2+5)/(6-2)

=3/4

6 0

3 years ago

5 times 3 2/5 I need help pls k have school soon

timama [110]

5 times 3 is 15! i’m confused at the rest of the question!

8 0

2 years ago

Read 2 more answers

Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2 . The surf

Pie

Answer:

$440 = 2\pi {r}^{2} + 2\pi(r)10 \\$

$3960 = 2\pi {r}^{2} + 2\pi(r)h$

$\frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 }$

$9 = \frac{h}{10}$

h=90

5 0

3 years ago