x
g(x)
1
−8
5
12
9
32
Answer:
As per the statement:
Below are two different functions, f(x) and g(x).
For f(x):
Alex earns 1600 dollars in 400 hours.
dollars.
Slope of f(x) = 4
Now, find the slope of g(x):
Formula for slope is given by:
From the given tables:
Consider two values (x, g(x)) i.e,
(1, -8) and (5, 12)
Then;
⇒
⇒Slope of g(x) = 5
Therefore, the function g(x) has faster slope.
Help me please
Answer: z=56
Step-by-step explanation:
Based on the figure, we can determine that 3y+8=68 and 4x=2z. With the knowledge that a trapezoid has 360°, we can first find the value of y to get the angle measures of the top angles. We can then subtract that from 360°.
3y+8=68 [subtract both sides by 8]
3y=60 [divide both sides by 3]
y=20
We now know the value of y is 20, but that is not relevant to solving this problem because we already know that the top angles are 68° each. So, we can subtract that from 360.
360-68-68=224
Now, we know that the bottom 2 angles have to add up to 224. Therefore, we can come up with 2 equations.
Equation 1: 4x=2z
Equation 2: 4x+2z=224
We can manipulate Equation 1 to be . Once we plug that into Equation 2, we can find the value of z.
[multiply]
[add]
[divide both sides by 4]
Now, we know that z=56.
x2(x + 9) – 5(x + 9)
x(x2 + 5) – 9(x2 + 5)
x(x2 – 5) – 9(x2 – 5)
The answer choice which shows a way to determine the factors by grouping is; x(x² + 5)–9(x² + 5).
According to the task content, the factors of the expression are to be determined by grouping.
On this note, one way to group the factors would be;
x³ + 5x - 9x² -45
Upon factorisation;
x(x² + 5) – 9(x² + 5).
Read more on factorisation by grouping;
#SPJ5
Answer: 11.9%
Step-by-step explanation: