Assuming you are hoping to obtain the value of "g", to solve worded algebra problems like these, it is easier to translate the world problem into a mathematical equation first.
In this case, "93 is the sum of a number g and 58" can be translated to:
93 = g + 58
To find the value of g, it is necessary to isolate g first. To do this, we subtract both sides of the equation by 58:
93 - 58 = g + 58 - 58
93 - 58 = g
Simplifying:
g = 35
Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys
New ratio is 3:4 with 48 boys
48➗4= 12
So for girls 3x12= 36
So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.
Answer:
x^3 - 3x^2 - 3x + 9 + (-36/(x+3))
OR
x^3 - 3x^2 - 3x + 9 - (36/(x+3))
Step-by-step explanation:
First set the divisor equal to 0:
x + 3 = 0
Subtract 3 from both sides
x = -3
This is what you'll divide the dividend by in synthetic division.
Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:
x^4 + 0x^3 - 12x^2 + 0x -9
Coefficents: 1. 0. -12. 0 -9.
Please see the image for the next steps.
The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)
-36/(x+3)
Answer:
3/2
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
2 × 1 = 2
Step 2
Add the answer from Step 1 to the numerator
2 + 1 = 3
Step 3
Write answer from Step 2 over the denominator
3/2
