Answer:
m = -18
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
-8 = -m + 2m + 10
-8 = m + 10
<u>Step 2: Subtract 10 from both sides</u>
-8 - 10 = m + 10 - 10
-18 = m
Answer: m = -18
Answer:
y = -
(x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
= a , that is
a = - 
y = -
(x - 5)² + 7 ← in vertex form
Answer:
See below
Step-by-step explanation:
The interval must be chosen so that the function is one-to-one, and the sine and cosine functions are not one-to-one on the same intervals.
Answer:
Step-by-step explanation:
Given the regression equation :
y=2+3x
Mean of y values ; y = 5.0
Where y is the predicted variable ; x = predictor variable
The predicted value of y for X = 2
Null: H0 = 5
Alternative H1 : ≠ 5
Sample size (n) = 10 pairs
Degree of freedom = n - 2 = 10 - 2 = 8
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1