Answer:
option d.
<em> f(x) = |x|</em><em> </em><em>is </em><em>the </em><em>absolute</em><em> </em><em>value</em><em> </em><em>parent</em><em> </em><em>function</em><em>.</em>
Answer:
<u>The correct way of calculating the bill without tax is B. Divide the total bill by 1.17</u>
Step-by-step explanation:
Let's assume that the cellular phone bill with tax for this month is $ 117 (100 + 17 of tax), now let's make the calculation using the four alternatives provided:
A . Divide the total bill by 0.83
117/0.83 = 140.96, therefore it's not the correct way.
<u>B. Divide the total bill by 1.17</u>
<u>117/1.17 = 100, therefore this is the correct way.</u>
C. Multiply the total bill by 0.83
117 * 0.83 = 97.11, therefore this is not the correct way.
D. Multiply the total bill by 1.17
117 * 1.17 = 136.89, therefore this is not the correct way.
Using the pattern shown, each serving contains 8 crackers. In order to find the number of crackers in 12 servings, you will multiply the number of crackers in one serving, 8
, by the number of servings in the box. So, 8 times 12 equals 96, therefore there are 96 crackers in a box.
Now let's examine the statements:
A)The functions have the same range:FALSE the range changed from y ≥ 0 to y ≤ 0
B)The functions have the same domains. FALSE the doman changed from x ≥ 0 to x ≤ 0
C)The only value that is in the domains of both functions is 0. TRUE: the intersection of x ≥ 0 with x ≤ 0 is 0.
D)There are no values that are in the ranges of both functions. FALSE: 0 is in the ranges of both functions.
E)The domain of g(x) is all values greater than or equal to 0. FALSE: it was proved that the domain of g(x) is all values less than or equal to 0.
F)The range of g(x) is all values less than or equal to 0. TRUE: it was proved above.
Answer:
x = - 9, x = 10
Step-by-step explanation:
Given
x² - x - 90 = 0
Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)
The factors are - 10 and + 9, since
- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus
(x - 10)(x + 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 9 = 0 ⇒ x = - 9
lesser x = - 9
greater x = 10
