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:
Hi there!
Vertical angles are angles that are opposite each other when two lines intersect each other. The two pairs of opposite angles are equal to each other. The two pairs of neighboring angles are supplementary, meaning they add up to 180 degrees.
Answer:
<h3>
(2, 124)</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the equation of the parabola with vertex (h, k)
![f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16x%5E2%2B%2064x%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28x%5E2-%204x%29%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28%5Cunderline%20%7Bx%5E2-2%5Ccdot2x%5Ccdot2%2B2%5E2%7D-2%5E2%29%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%5Cbig%5B%28x-2%29%5E2-4%5Cbig%5D%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28x-2%29%5E2%2B64%20%2B%2080%5C%5C%5C%5C%5Cbold%7Bf%28x%29%3D-16%28x-2%29%5E2%2B124%5Cquad%5Cimplies%5Cquad%20h%3D2%5C%2C%2C%5Cquad%20k%3D124%7D)
<u>The vertex is </u><u>(2, 124)</u>
Answer:
the probability is 0.0750
Step-by-step explanation:
The computation of the probability is shown below;
The mean of x is
= 1.5 ÷ √79
= 0.1688
Now the probability is
= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)
= P(Z < -1.78) + P(Z > 1.78)
= P(Z < -1.78) + 1 - P(Z < 1.78
= 0.0375 + 1 - 0.9625
= 0.0750
hence, the probability is 0.0750
2.125 = 17/8 = 21/8 as a fraction
Step by Step Solution
To convert the decimal 2.125 to a fraction follow these steps:
Step 1: Write down the number as a fraction of one:
2.125 = 2.125/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,
(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.
Hope that helps feel free to ask me questions
Brainliest??
