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2 years ago

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

Mathematics

1 answer:

Anika [276]2 years ago

5 0

Answer:

Step-by-step explanation:

The line passes through the point (2, -1/2) and has a slope of 3.

We can use the point-slope form, given by:

$y-y_1=m(x-x_1)$

Where (x₁, y₁) is a point, and m is the slope.

Let (2, -1/2) be (x₁, y₁). We will substitute 3 for m. Therefore:

$\displaystyle y-\Big(-\frac{1}{2}\Big)=3(x-(2))$

Simplify:

$\displaystyle y+\frac{1}{2}=3(x-2)$

Therefore, our answer is C.

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The exponent indicates how many times the what is used

sukhopar [10]

The exponent indicates how many times the base is used as a factor.

3 0

2 years ago

On Martin's first stroke, his golf ball traveled \dfrac45 5 4 start fraction, 4, divided by, 5, end fraction of the distance t

makvit [3.9K]

Answer: 0.395 km

Step-by-step explanation:

Let Martin distance from the hole be X

On first stroke, his golf ball traveled 4/5 of the distance to the hole. That is 4/5 X

On his second stroke, the ball traveled 79 meters and went into the hole

Total distance covered will be

X = 79 + 4/5X

X - 4/5X = 79

X - 0.8X = 79

0.2X = 79

X = 79/0.2 = 395 meters

How many kilometers from the hole was Martin when he started

X = 395/1000 = 0.395 km

6 0

2 years ago

The graph of a quadratic function in shown below.

k0ka [10]

Answer:

NOT true:

A, C, D

Step-by-step explanation:

8 0

2 years ago

Is 11/2 and 6/11 equivalent? Plz I need the help☹️

trapecia [35]

For this case we have the following fractions:

$\frac {11} {2}\\\frac {6} {11}$

We must rewrite the fractions, using the same denominator.

We have then:

We multiply the first fraction by 11 in the numerator and denominator:

$\frac {11} {2} \frac {11} {11}$

We multiply the second fraction by 2 in the numerator and denominator:

$\frac {6} {11} \frac {2} {2}$

Rewriting we have:

For the first fraction:

$\frac {121} {22}$

For the second fraction:

$\frac {12} {22}$

We note that:

$\frac {121} {22}> \frac {12} {22}$

Answer:

The fractions are not equivalent:

$\frac {11} {2}> \frac {6} {11}$

5 0

3 years ago

What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as

Andrej [43]

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

5 0

2 years ago