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
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
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Answer:
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:
As we know the period of sine function is 2π
Period of this function is 2π/a
We are given the period of function is 510
Thus,
Now we will solve for a
Required equation:
Hence, The equation for best models green light is
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.
To find the total expenses we will add the cost of training in cost of 12 shirts.
Let us subtract total expenses from total job benefits.
Therefore, Brendon’s total employment compensation last year was $39,077.60 and option 'a' is the correct choice.
Answer:
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