Calculate the vertices
(x+3, y + 1)
Calculate the vertices (x+3, y + 1) - 1

Answers

Answer 1
Answer:

Answer:

A' (4,4), B' (5,7), C' (9,7)

Step-by-step explanation:


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Use the distributive property to write an equivalent expression. (6+8)⋅x *

Danielle has a crate of books in four different genres: fantasy, nonfiction, thrillers, and romance. She randomly picks a book from the crate and replaces it. She repeats this experiment 60 times and gets the results shown in the table.Book Genre Times Picked

fiction 12

nonfiction 18

thriller 24

romance 6


Which genre of book does Danielle likely have the most of?

Answers

Answer:

Thriller, 24

Step-by-step explanation:

It has the most books shown.

Answer:

iM nOT toO suRE BUT I THINK ITS THRILLER BECAUSE IT HAS 24 AND 60/24=2.5

Step-by-step explanation:

Is y = x/9 a direct variation

Answers

I believe it is a direct variation

Which is a y-intercept of the continuous function in thetable?
0 (0-6)
O (-2, 0)
O (-6.0)
(0, -2)

Answers

Answer:a

Step-by-step explanation: bc

Answer:

a

Step-by-step explanation:

Solve system by Substitution
method, provide steps.
y = 8x + 12
3.x – 3y = 6

Answers

Step-by-step explanation:

y = 8x + 12 _____(1)

3x - 3y = 6 ______(2)

Substituting the.the expression for y in eqn (1)

into eqn (2).

3x - 3(8x + 12) = 6

3x - 24x - 36 = 6

-21x = 42

x = -2.

y = 8(-2) + 12 = -4.

hence x = -2 and y = -4.

Answer:

54

Step-by-step explanation:

how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze

Answers

let x=gallons of 80% solution to be mixed
x+80=gallons go final 70% mixture
..
80%*x+30%*80=70%*(x+80)
.8x+24=.7x+56
.1x=32
x=320
gallons of 80% solution to be mixed=320

Final answer:

To obtain a mixture that is 70% antifreeze, you need to mix 70 gallons of an 80% antifreeze solution with 70 gallons of a 30% antifreeze solution.

Explanation:

To determine how many gallons of an 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze, we can use the concept of the concentration of solutions.

Let's assume x gallons of the 80% antifreeze solution need to be added.

The amount of antifreeze in the 80% solution is 0.8x gallons, and the amount of antifreeze in the 30% solution is 0.3 * 70 = 21 gallons. The total amount of antifreeze in the final mixture is 0.7 * (70 + x) gallons.

Setting up the equation: 0.8x + 21 = 0.7 * (70 + x).

Solving for x, we get x = 70 gallons. Therefore, you need to mix 70 gallons of the 80% antifreeze solution with 70 gallons of the 30% antifreeze solution to get a mixture that is 70% antifreeze.

Learn more about antifreeze solution here:

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You are given the probability generating function of X: PX(z)=(0.8z+0.2)10 Calculate the coefficient of variation of X.

Answers

Answer:

Var(X)=1.6

Step-by-step explanation:

Formula for calculating the coefficient of variation for a probability generating function:

Var(X)= PX''(1) + PX'(1) - [PX'(1)]² ........... eq(1)

Now compute each individual term in the above formula.

PX'(z) = (10) (0.8) (0.8z + 0.2)^9

PX'(1) = 8 (1)^9 = 8

[PX'(1)]² = 64

PX''(z) =  (9) (8) (0.8) (0.8z + 0.2)^8

PX''(1) =   57.6 (1)^8 = 57.6

Substitute all terms back in eq(1)

Var(X)= 57.6 + 8 - 64

Var(X)= 1.6