Answer:
Step-by-step explanation:
If (x+8) is a factor of f(x), then for some expression p, we have ...
f(x) = (x+8)p
Evaluated at x=-8, this gives ...
f(-8) = (-8+8)p = 0p
f(-8) = 0 . . . . must be true
_____
Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that <em>must</em> be true is the one shown above.
Answer:
length = 78 feet
width = 36 feet
Step-by-step explanation:
Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:
width = 'w'
length = '42ft longer than it was wide' = w + 42
The general formula for the perimeter of a rectangle:
P = 2w + 2l
Plugging in the given values and variables:
228 = 2w + 2(w + 42)
Distribute: 228 = 2w + 2w + 84
Combine like terms: 144 = 4w
Divide and solve: 36 = w
w = 36 ft
l = 36 + 42 = 78 ft
Answer:
y=3x+2
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
-3x-5=16
-3x-5+5=16+5
-3x=21
-3x/-3=21/-3
x=-7
Correct option is A. Dime novels, known in nineteenth-century England
as "penny dreadfuls," flourished because increased mechanization of printing and increased literacy rates made production of large numbers of these books profitable.
The sentence is correct as is: it has a sound structure with no grammatical errors. "Increased mechanization" corresponds with "increased literacy rates" thus maintaining the structure of the sentence. A is the best answer.
the reintroduction of the Olympic Games the establishment of Darwin’s theory of natural selection the publication of dime novels and penny dreadfuls the discovery of the link between germs and disease
To learn more about penny dreadfuls from given link
brainly.com/question/15337135
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