Question 1. 5b + 2 = 17
Step 1. Subtract 2 from both sides of the equation.
5b+2-2=17-2
Step 2. Then simplify.
5b=15
Step 3. Finally divide by 5.
5b/5=15/5
Answer: b=3
Question 3.
Step 1. Subtract 9 from both sides.
9+4b-9=17-9
Step 2. And simplify.
4b=8
Step 3. Finally divide by 4.
4b/4=8/4
Answer: b=2
Hope this helps! :)
Answer:
Step-by-step explanation:
The most important part of this problem is reading the problem carefully and then solving it. Most of the required information's are already given in the question. Let us now focus on the problem in hand.
(12z^2 - 7z -12)/(3z^2 + 2z - 8) = [12z^2 - 16z + 9z - 12]/[3z^2 + 6z - 4z - 8]
= [4z(3z - 4) + 3(3z - 4)/[(3z(z + 2) -4(z + 2)]
= [(4z + 3)(3z - 4)]/(z + 2) (3z - 4)]
= (4z + 3)/(z + 2)
The above deduction is the simplified form. I hope that this is the answer that has come to your desired help.
Answer:
a=9
Step-by-step explanation:
To solve this proportion, we have to get the variable, a, by itself.
First, cross multiply.
6/a=18/27
Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.
a*18=6*27
18a=162
Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.
18a/18=162/18
a=162/18
a=9
So, the proportion, with 9 substituted in for a, will be:
6/9=18/27
Answer:
x - 5y = 5
Step-by-step explanation:
Let's represent the equation of the graph in slope-intercept form, y = mx + b.
We'd need to find slope (m) and y-intercept (b) of the graph.
Slope (m) = ∆y/∆x
Using two points on the line, (0, -1) and (5, 0),
Slope (m) = (0 - (-1)) / (5 - 0) = 1/5
m = ⅕
y-intercept (b) is the point on the y-axis where the line intercepts the y-axis = -1
Therefore, b = -1
To write the equation, substitute m = ⅕ and b = -1 into y = mx + b
Thus:
y = ⅕(x) + (-1)
y = ⅕(x) - 1
Rewrite in standard form:
-⅕x + y = -1
Multiply both sides by -5
-⅕x*-5 + y*-5 = -1*-5
x - 5y = 5
