Answer: 12 pencils
Step-by-step explanation:
17 - 8 = $9
9 ÷ $0.75 = 12
So the answer is 12 pencils.
Answer:
y=x, x-axis, y=x, y-axis
Explanation:
Reflecting the figure across three axes just moves it from one quadrant to another. It does not map the figure to itself.
Reflecting across the line y=x moves it from quadrant II to IV or vice-versa. If it is in quadrant I or III, it stays there. So the sequence of reflections x-axis (moves from I to IV), y=x (moves from IV to II), x-axis (moves from II to III), y=x (stays in III) will not map the figure to itself.
However, the last selection will map the figure to itself. The initial (and final) figure location, and the intermediate reflections are shown in the attached. The figure starts and ends as blue, is reflected across y=x to green, across x-axis to orange, across y=x to red, and finally across y-axis to blue again.
Answer:
y=6^x-2
Step-by-step explanation:
Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation
Answer:
x² - 10x + 24
Step-by-step explanation:
(x -4)(x - 6)
To write this in standard form, we need to FOIL the binomials.
FOIL: first – outer – inner – last
F: x • x = x²
O: x • -6 = -6x
I: -4 • x = -4x
L: -4 • -6 = 24
Combine the new terms.
x² - 6x - 4x + 24
Combine like terms.
x² - 10x + 24
This is your polynomial in standard form.
Hope this helps!