Answer:
the slope is -4/5 and the y-intercept is 0
Step-by-step explanation:
Data from random samples will not always include the same values. Values are chosen randomly and they may or may not be the same. So means will vary among samples.
Answer:
is the imaginary line where you could fold the image and have both halves match exactly.
Answer:
(2x - 3) • (x + 4)
Step-by-step explanation:
Step 1 :
Equation at step 1 :
(2x2 + 5x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2+5x-12
The first term is, 2x2 its coefficient is 2 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8
2x2 - 3x + 8x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-3)
Add up the last 2 terms, pulling out common factors :
4 • (2x-3)
Step-5 : Add up the four terms of step 4 :
(x+4) • (2x-3)
Which is the desired factorization
Answer:
The equation is 1/2 x + 8 = 15 ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the question
- Grace and her dad are planning to attend the state fair
- The price of an adult ticket is $15
- The price of the adult ticket is one half the price of the student ticket
plus $8
- Assume that the price of the student ticket is x
∵ The price of the student ticket is x
∵ The price of the adult ticket is half the price of the student ticket
x plus 8
- lets multiply half by x and then add the result by 8
∴ The price of the adult ticket = 1/2 x + 8
∵ The price of the adult ticket is $15
- Equate the expression of the price of the adult ticket by the price of
the adult ticket
∴ 1/2 x + 8 = 15
* The equation to determine how much Grace will pay for a student
ticket is 1/2 x + 8 = 15
∴ The answer is choice A