Consider the following pair of equations: x + y = −2
y = 2x + 10

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(−4, 2)
(4, 2)
(−2, 4)
(2, 4)

Answers

Answer 1
Answer: hellooo..
my answer is (-4,2)

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A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score of 1.5? A. 21 miles B. 24 miles C. 36 miles D. 41 miles

Answers

The z-score tells you how many standard deviations from the mean. 

1.5 * 3.6 = 5.4 miles 

So anything within 5.4 miles of the average (29). 

The range would be: 
29 - 5.4 = 23.6 
to: 
29 + 5.4 = 34.4 

23.6 ≤ x ≤ 34.4 

Answer: 
B) 24 miles

The mileage is within a z-score of 1.5 is (b) 24 miles

How to determine the mileage?

From the complete question, we have the following parameters:

Standard deviation = 3.6

Mean = 18.6

z = 1.5

The z-score is calculated using:

z= (x - \mu)/(\sigma)

So, we have:

1.5= (x - \mu)/(\sigma)

Cross multiply

x - \mu= 1.5\sigma

Make x the subject

x = 1.5\sigma + \mu

Substitute known values

x = 1.5 * 3.6 + 18.6

Evaluate

x = 24

Hence, the mileage is within a z-score of 1.5 is (b) 24 miles

Read more about z-scores at:

brainly.com/question/25638875

#SPJ5

Can somebody help me with number four plz

Answers

Step-by-step explanation:

3.

$30.32/8 = $3.79 per gallon

4. (a)

Weight of single gallon = 41.7/5 = 8.34 pounds

(b)

Weight of 70 gallons = 70*8.34 =

583.8 pounds

ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)​

Answers

Answer: the answer is base of triangle, height of triangle

got it wrong because of that other guy answers was wrong

Answer:

perimeter of square

Step-by-step explanation:

Find the value of M3 - M1

Answers

Answer:

50

Step-by-step explanation:

m<1+m<2+m<3 = 180    this forms a straight line

m<2 = 90 degrees

m<1 + 90 + m<3 = 180

Subtract 90 from each side

m<1 + 90-90 + m<3 = 180-90

m<1 + m<3 = 90


70 +m<1+m<2 = 180    this forms a straight line

70 + m<1 + 90 = 180

Combine like terms

160 + m<1 = 180

Subtract 160 from each side

160-160 + m<1 = 180-160

m<1 = 20


m<1 + m<3 = 90

20 + m<3 = 90

Subtract 20 from each side

20-20 +m<3=90=20

m<3 = 70


We want to find m<3 - m<1

m<3 - m<1

70 -20

50

Drag an answer to each box to complete this paragraph proof.Given: Triangle ABC

Prove: m∠A=72°

Answers

Answer:

Step-by-step explanation:

By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property

(6x)° + 90° + (x+6)° = 180°

To solve for x, first combine the terms to get (7x + 96) = 180°

Using the Subtraction property of equality,

7x = 84.

Then using the division property of equality x = 12.

To find the measure of angle A,

Use the subtraction property to get m∠A = 6(12)°.

Finally simplifying the expression gets m∠A = 72°.

For the data in the table does y vary directly with x? If it does write an equation for the direct variation X Y
16 4
32 16
48 36

A)yes; y=2x
B)yes; y=1/4x
C)yes; y=1/8x
D) No; y does not vary directly with x

Answers

Answer:

D) No; y does not vary directly with x.

Step-by-step explanation:

We can affirm that y varies directly with x, that is, that y is directly proportional to x if they fulfill the following condition.

y/x = k

where,

k is a constant number

We have 3 ordered pairs:

a) (16, 4)

b) (32, 16)

c) (48, 36)

If we perform y/x for each ordered pair,

a) 4/16 = 0.25

b) 16/32 = 0.50

c) 36/48 = 0.75

Since y/x is not constant, y does not vary directly with x.

I think the answer is D because when I try to solve them they don't equal each other