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3 years ago

11

Write the equation of the line in point-slope form y - y1 = m ( x - x1). From the two given points ( -2, 5 ) and ( 3, -1 ). (hin

t: find m and the point)

1 answer:

IgorC [24]3 years ago

5 0

Answer:

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

Step-by-step explanation:

m=(5+1)/(-2-3)

m=6/-5

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19) Suppose that there are 55 Democrats and 45 Republicans in the US Senate. A committee of seven senators is to be formed by se

andre [41]

Answer:

Probability = 0.12676992

Step-by-step explanation:

The probability of selecting committee of seven composed of all Democrats.

Total number = 45+55= 100

Number of Democrats = 55

Number of committee = 7

Probability= (55C7)/(100/7)

Where C represent combination sign

Probability = (202927725/1.60075608*10^10)

Probability = 0.12676992

7 0

2 years ago

Zak takes 3 steps for every 2 steps Rich takes. How many steps will zak take if rich takes 18 steps? Explain how you found the a

vodka [1.7K]

To solve this problem we can think of a rule of three.
Writing the rule of three we have:
3 ---> 2
x ----> 18
Clearing the value of x
x = ((18) / (2)) * (3) = 27
answer
zak will take 27 steps if rich takes 18 steps

7 0

3 years ago

Which ordered pairs are solutions to the inequality y−2x≤−3?

My name is Ann [436]

we will proceed to resolve each case to determine the solution

we have

$y-2x \leq -3$

$y\leq2x-3$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> $(5,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*5-3$

$-3\leq7$ -------> is true

so

The ordered pair $(5,-3)$ is a solution

<u>case b)</u> $(0,-2)$

Substitute the value of x and y in the inequality

$-2\leq2*0-3$

$-2\leq-3$ -------> is False

so

The ordered pair $(0,-2)$ is not a solution

<u>case c)</u> $(-6,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*-6-3$

$-3\leq-15$ -------> is False

so

The ordered pair $(-6,-3)$ is not a solution

<u>case d)</u> $(1,-1)$

Substitute the value of x and y in the inequality

$-1\leq2*1-3$

$-1\leq-1$ -------> is True

so

The ordered pair $(1,-1)$ is a solution

<u>case e)</u> $(7,12)$

Substitute the value of x and y in the inequality

$12\leq2*7-3$

$12\leq11$ -------> is False

so

The ordered pair $(7,12)$ is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

6 0

3 years ago

Read 2 more answers

Pls help on #9 ASAP. thank you. I’ll give u as much points as i can ♡

Alinara [238K]

A. X> lobsters
7 + x <= 18
X <= 11 lovsters.

B. (7+3+10)
x= additional lobsters
10 + x <= 24
x<= 14 lobsters

C. 24/4 = 6 lobsters

Hope this helps.

6 0

3 years ago

Read 2 more answers

7 lbs of sour candies cost $7.00. What is the unit price?

grandymaker [24]

Answer:

$1 per lb

Step-by-step explanation:

If you divide the cost by the amount you are getting, then you get the unit rate. So, since 7 divided by 7.00 is 1.00, then the cost per pound is $1.00

7 0

2 years ago