D. x+ 40 = 150 this is the answer
Answer:
The Arithmetic progression formed will be: 7, 12, 17, 22...
a = 7, d = 5
The nth term or an = a + (n-1)d
= 7 + (n-1)5
= 7 + 5n - 5
= 5n + 2
The answer is A. 5n + 2
Hope this helps!
Answer:
The correct answer is x = 17.
Step-by-step explanation:
If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.
Therefore, we can set up the equation:
DEF + FEG = DEG
However, since we know that DEF and FEG represent the same value, we can change this equation into the following:
2(DEF) = DEG
Now, we can substitute in the expressions that we are given:
2(3x+1) = 5x + 19
To simplify, we should first use the distributive property on the left side of the equation.
6x + 2 = 5x + 19
Our next step is to subtract 5x from both sides of the equation.
x + 2 = 19
Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.
x = 17
Therefore, the value of x is 17.
Hope this helps!
Answer: f(x) = 6*sin( (1/8)*π*x) + 3
Step-by-step explanation:
A sine function is written as:
f(x) = A*sin(w*x + f) + M
where:
A = amplitude
w = frequency
f = phase
M = midline
Here we know that:
Frequency = 1/8π, then: w = (1/8)*π
Amplitde = 6, then A = 6
midline = 3, then M = 3
So our equation is:
f(x) = 6*sin( (1/8)*π*x + f) + 3.
Now we also know that:
y-inercept: (0,3)
This means that:
f(0) = 3 = 6*sin( (1/8)*π*0 + f) + 3 = 6*sin(f) + 3
Now we can remember that sin(0) = 0
Then we must have f = 0.
This means that the equation is:
f(x) = 6*sin( (1/8)*π*x) + 3
So the image of the function is:
The square root of x is the jfhvasbkvhadk ffzbahvvvvfhyvud