What is the value of the function at x = -2?
y = -4
y = 0
y=2
y = 3
What is the value of the function at x = - 1

Answers

Answer 1
Answer:

Answer:

Given the graph:
When x = -2, the value of y is 3
When y = -4, the value of x is -37
When y = 0, the value of x is -17
When y = 2, the value of x is -7
When y = 3, the value of x is -2

Step-by-step explanation:

To find the values of y = -4, 0, 2, and 3, we need to find the slope of the line:
Given that at x = -2, y = 3 and at x = 3, y = 4:
we can find the slope using these two given points on the graph:
slope = y2 - y1/x2 - x1

4-3/3-(-2) = 1/5
We can then write the equation in slope intercept form to find the value of b.

Substitute a point on the graph for the x and y to find b:
y = 1/5x + b
4 = 1/5(3) + b

4 - 3/5 = b
b = 3.4

y = 1/5x + 3.4
Plug in the values of y to find x
y = -4, x = -37
y = 0, x = -17
y = 2, x = -7
y = 3, x = -2


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Find the value of each variable and show which property is used.

Answers

7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6

Y=3

3x+2=23
3x =21
x= 7

7(3) -2= 5(3)+4
19=19
x=19

3(7)+2=23
23= 23
Y=23

Adding and subtracting property


Please help!! Chapter i2x-19x + 315, Algebra PQ = 57, Use the figure to find each of Pthe following.a..rb. PLBc. LQA

Answers

Hello,

2x-1+9x+3=57
==>11x=57-2
==>x=5

2)
2x-1=2*5-1=9
3)
9x+3=9*5+3=48


15=5+4(2d-3). How to you write this out? And what is the answer for d?

Answers

The solution of expression are,

⇒ d = 11/4

We have to given that,

An expression to solve,

⇒ 15 = 5 + 4 (2d - 3)

We can simplify as,

⇒ 15 = 5 + 4 (2d - 3)

⇒ 15 = 5 + 8d - 12

⇒ 15 - 5 + 12 = 8d

⇒ 10 + 12 = 8d

⇒ 8d = 22

⇒ d = 22/8

⇒ d = 11/4

Thus, The solution of expression are,

⇒ d = 11/4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

15=5+8d-12
15=8d+17
8d=15+17
8d=32
d=32 divided by 8
d=4

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm . which equation best models green light? a. y= sin pi/510 theta b. y= sin pi/255 theta c. y= sin 510/pi theta d. sin 255/pi theta

Answers

Answer:

y=\sin((\pi \theta)/(255))

B is correct.

Step-by-step explanation:

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm .

Equation of sine wave:

y=\sin(ax)

As we know the period of sine function is 2π

Period of this function y=\sin(ax) is 2π/a

We are given the period of function is 510

Thus, 510=(2\pi)/(a)

Now we will solve for a

a=(2\pi)/(510)

a=(\pi)/(255)

Required equation: y=\sin((\pi \theta)/(255))

Hence, The equation for best models green light is y=\sin((\pi \theta)/(255))

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm. The equation that best models green light is y= sin 510/pi theta. The answer is letter C.

Brendon had total job benefits of $39,500 last year. He was required to wear a shirt with the company logo on it for work that he was responsible for buying. Brendon purchased 12 shirts for work during the year at a cost of $23.95 each. He was also required to attend a training at a cost to him of $135. What was Brendon’s total employment compensation last year? a. $39,077.60 b. $39,212.60 c. $39,341.05 d. $39,922.40

Answers

Answer:

a. $39,077.60

Step-by-step explanation:

We have been given that Brendon had total job benefits of $39,500 last year. Brendon purchased 12 shirts for work during the year at a cost of $23.95 each.

To find Brendon's total employment compensation, we will subtract total expenses from Brendon's total job benefits.

Let us find the cost of 12 shirts by multiplying $23.95 by 12.

\text{Amount spent on 12 shirts}=12* \$23.95

\text{Amount spent on 12 shirts}=\$287.40

To find the total expenses we will add the cost of training in cost of 12 shirts.

\text{Brendon's total expenses}=\$287.40+\$135

\text{Brendon's total expenses}=\$422.40

Let us subtract total expenses from total job benefits.

\text{Brendon’s total employment compensation last year}=\$39,500-\$422.40

\text{Brendon’s total employment compensation last year}=\$39,077.60

Therefore, Brendon’s total employment compensation last year was $39,077.60 and option 'a' is the correct choice.

39,500 - (12 * 23.95) - 135 = 39,077.60

Betty and Adam are playing cards. Betty has won 5 hands and Adam has won 20 hands. What is the ratio of the number of hands Betty has won to the number of hands Adam has won? A. 4:1 B. 1:4 C. 1:5 D. 5:1

Answers

Answer:

B. 1:4

Step-by-step explanation:

This problem is on ratio of quantities.

step one:

what is a ratio?

A ratio is a way of expressing the relation of one quantity to another, it is usaully expressed in fraction as x/y, x:y or sometime x is to y

step two:

given that Betty won 5 hands

and Adam won 20 hands

step three:

Therefore the ratio of the number of hands Betty has won to the number of hands Adam has won is

=5/20

=1/4

or simply put 1:4