Answer:
Step-by-step explanation:
<u>Given function:</u>
The answer choices give us two ordered pairs.
<u>The first pair has x = 0 for all answer options, let's check what y- coordinate corresponds to this:</u>
- f(0) = 15*1.25⁰ = 15*1 = 15
This is option B
<u>Let's verify the second point of this option:</u>
We can confirm this point as well. So correct choice is B
Part (a)
<h3>Answer: -2</h3>
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Explanation:
Draw a vertical line through -2 on the x axis. This vertical line will cross the blue parabola at some point P. From point P, draw a horizontal line to the y axis. You should arrive at y = -2. Figure 1, in the attached diagram below, shows this process.
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Part (b)
<h3>Answers: x = -3 or x = 1</h3>
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Explanation:
Draw a horizontal line through y = 1 on the y axis. This is because y = f(x).
This horizontal line crosses the parabola at two places. Drop a vertical line straight down to the x axis to note the x values that make f(x) = 1 true.
You should find the solutions to be x = -3 and x = 1
See figure 2.
Answer:
If the semicircle rotated around the line, it would become a sphere. So, A. sphere.
Step-by-step explanation:
Why can only one of them be equal to 2/3 ? ? ?
For any fraction you name, there are an infinite number of other fractions
that have the same value. That's why sometimes you're asked to 'simplify'
a fraction, or 'reduce it to lowest terms'. The fraction you start with and the
fraction you end up with both have exactly the same value (if you do it correctly) . . . .
they are EQUAL ! !
-- If you simplify 204/306 , you get 2/3 .
-- If you reduce 56 / 84 to lowest terms, you get 2/3 .
-- All three of those fractions have the same value.
-- 204/306 , 56 / 84 , and 2/3 are all EQUAL .
If your big brother eats 204/306 of a pizza, and your little sister eats
2/3 of another pizza, and you eat 56/84 of a pizza, each of you eats
the same amount !
Answer:
4hx - 8x - 3h - 4
k = ------------------------
5
8x + 5k + 4
h = ------------------------
4x - 3
Step-by-step explanation:
4 (hx - 1) - 3 (x + h) = 5 (x + k)
4hx - 4 - 3 (x + h) = 5 (x + k)
4hx - 4 - 3x - 3h = 5 (x + k)
4hx - 4 - 3x - 3h = 5x + 5k add 3h both sides
4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h simplify
4hx - 4 - 3x = 5x + 5k + 3h add 4 both sides
4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4 simplify
4hx - 3x = 5x + 5k + 3h + 4 subtract 5x from both sides
4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x simplify
4hx - 8x = 5k + 3h + 4
4hx - 8x - 3h - 4 = 5k
4hx - 8x - 3h - 4
k = ------------------------
5
<u>solving for h;</u>
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
8x + 5k + 4
h = ------------------------
4x - 3