Answer:
(A) 2^{5} * 5 * 7
Step-by-step explanation:
Your question formatting made it very complicated to understand the possible answers. Please use some notation or the equation editor next time.
So, the exponential form a way to write a number using multiplications and powers.
Let's examine the various options (if I read them correctly)
(A) 2^{5} * 5 * 7 - YES!
2^{5} is 32, so 32 * 5 * 7 = 160 * 7 = 1120
(B) 5² · 8 - NO
= 25 * 8 = 200
(C) 2² * 5³ * 7 - NO
= 4 * 125 * 7 =500 * 7 = 3500
(D) 2 · 5 · 7 - NO
= 10 * 7 = 70
Answer:
<h3>
f(x) = 6(x - 2)² + 3</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
<u> f(x) = 6(x - 2)² + 3</u>
Answer: Lower left corner
A piecewise function is basically a combination of other functions to make one single function. We can break up the given piecewise function into two parts:
f(x) = x-4
OR
f(x) = -2x
The f(x) will change depending on what x happens to be. If x is 0 or smaller, then we go with f(x) = x-4. Otherwise, if x is larger than 0, then we opt for f(x) = -2x.
To graph this, we basically graph y = x-4 and y = -2x together on the same coordinate system. We only graph y = x-4 if x is 0 or smaller. Likewise, we graph y = -2x when x > 0. This results in the graph shown in the lower left corner of your four answer choices.
Note: the closed circle means "include this point as part of the graph". The open circle means "exclude this point as part of the graph". So this is why the upper right corner is very close but not quite the answer we want.
Answer:
So multiplying decimal and whole number means it will always equal as a decimal. But multiplying decimal with decimal means could equal whole or decimal number
Step-by-step explanation:
C. 32 64 128As you can see, the numbers in the list are multiplying by two, so using that rule, these numbers would be next.
Hope it helps!
