1. Multiply: (3x+1)(x+2) Answer:3x^2+7x+2
2.Remember to combine all like terms, and FOIL to check if you had factored a trinomial correctly.
Answer:
60%
Step-by-step explanation:
To find the total pass = 65 * number of student that passed, let it be be represented by P and number of students that failed F
Total pass = 65p
And total fail = 35F
For the total pass and failure will be 53(P+F)
Equating to total pass and total fail
65P +35F = 53( P+ F)
65P+35F = 53P+ 53F
65P-53P =53F-35F
12P=18F
2P= 3F
Hence there are 3 passing scores for every 2 failure scores, hence there are a multiple of 5 scores and the same multiple of 3 passing scores.
3/5 * 100= 60%
Piecewise functions have different definitions, depending on when you evaluate them.
Given an input x, your function returns:
- 2x if the input is negative
- 1 if the input lies between 0 (included) and 2 (excluded)
- the square root of x if the input is greater than 2 (included)
You want to know what f(0) is. In other words, you want to know what happens if we give 0 as input.
The piecewise definition tells us that, if the input is 0, the function outputs 1.
So, you have f(0) = 1.
Answer:
B
Step-by-step explanation:
the product (2x² - 3x - 8)(3x² + 5x + 1) is required
multiply each term in the second factor by each term in the first factor.
= 2x²(3x² + 5x + 1) - 3x(3x² + 5x + 1) - 8(3x² + 5x + 1) ← distribute
= 6
+ 10x³ + 2x² - 9x³ - 15x² - 3x - 24x² - 40x - 8
collecting like terms gives
6 + x³ - 37x² - 43x - 8 → B
Hello!
<h3><em><u>Answer</u></em></h3>
The area of the right triangle is 30 
. The perimeter is 40 in.
<h3><em><u>Explanation</u></em></h3>
First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.
+ 
64 + 225 = 
√289 =
17 = 
Now that we have all the side lengths, we can use the formulas to find the area and perimeter.
<h3>AREA:</h3>
A = 
A = (15 × 8) ÷ 2
A = 30
<h3>PERIMETER:</h3>
P = a + b + c
P = 8 + 15 + 17
P = 40
