2(x+19)=3(y-14) is equivalent to (2,6).<br><br> a.true<br> b.false

Write the equation of the line in slope intercept form that goes through points (1,8) and (5,20)

pantera1 [17]

Answer:

y=3x+5

Step-by-step explanation:

Point slope equation:

y=mx+b

m-slope, b- is y-intercept

equation given 2 points

y-y1 = m(x-x1)

For point (1,8) and slope m=(y2-y1)/(x2-x1) = 20-8/5-1=12/4=3

y-8 =3(x-1)

arange it in point slope format

y-8=3x-3

y=3x-3+8

y=3x+5

6 0

4 years ago

Please help me with #5

allochka39001 [22]

Answer:

i will try my best

Step-by-step explanation:

3 0

3 years ago

Ernest worked 10.5 hours this week and earns $9.20 per hour. How much did he earn this week?

Reika [66]

$10.5 \times 9.20 = 96.6$
He earned $96.60

3 0

3 years ago

Read 2 more answers

9. A band director wants to form a committee of 4 parents from a list of 45 band parents.

Alex73 [517]

Answer:

Part (A): The number of ways to select 12 jurors are 86493225.

Part (B): The number of ways to select 2 alternates are 306.

Part (C): Part (a) is an example of combination and Part (a) is an example of permutation

Step-by-step explanation:

Consider the provided information.

A band director wants to form a committee of 4 parents from a list of 45 band parents.

Part (A): How many different groups of 4 parents can the band director select?

Since order doesn't matter so we will use combination.

Use the formula for combination $^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Substitute n=45 and r=4 in above formula.

$^{45}C_{4}=\frac{45!}{4!(45-4)!}$

$^{45}C_{4}=\frac{45!}{4!41!}$

$^{45}C_{4}=148995$

Hence, the number of ways are 148995.

Part (B) How many different ways can the band director select 4 parents to serve in the band parents’ association as president, vice president, treasurer, and secretary?

Since the order matter so we will use permutation:

The formula for permutation is: $^{n}P_{r}=\frac{n!}{(n-r)!}$

Substitute n=45 and r=4 in above formula.

$^{45}P_{4}=\frac{45!}{(45-4)!}$

$^{45}P_{4}=\frac{45!}{41!}$

$^{45}P_{4}=3575880$

Hence, the number of ways are 3575880.

Part (C) . Explain the difference between parts (a) and (b) in terms of how you decided to solve each part.

Part (A) is an example of number of combination where order doesn't matter.

Part (B) is an example of permutation where order matter.

7 0

3 years ago

Solve the system of equations using elimination/combinations-2x -y = -4 x + 2y =5

sweet-ann [11.9K]

Answer:

x = 1, y = 2

Step-by-step explanation:

In the elimination method to solve a system of linear equations, one of the two equations is added/subtracted to the other, in order to eliminate one variable from the equation.

In this problem, we have the following two equations:

$-2x-y=-4\\x+2y=5$