Answer:
x^2 + 10x - 24 = 0
Step-by-step explanation:
Two zeros are 2 and -12:
- x - 2 = 0
- x + 12 = 0
So the function is (x-2)(x+12) = 0
<=> x^2 + 12x - 2x - 24 = 0
<=> x^2 + 10x - 24 = 0
Number lines are used to represent numbers and ratios using regular intervals
Nuka can weave 8.75 cm of strip in 5 minutes
<h3>How to determine the length of strip</h3>
Represent the ratio with:
Ratio = Length : Time
From the number line, they can weave 7cm of the strip in 4 minutes.
So, we have:
Ratio = 7cm : 4 minutes
Represent the length of strip made in 5 minutes with x.
So, we have:
x : 5 minutes = 7cm : 4 minutes
Remove the common units
x : 5 = 7cm : 4
Express as fraction

Multiply both sides by 5

Evaluate the quotient and the product

Hence, Nuka can weave 8.75 cm of strip in 5 minutes
Read more about double number lines at:
brainly.com/question/25103166
Answer:
73.74°
Step-by-step explanation:
sin Ф = opposite/hypotenuse
sin Ф = 24/25
(24/25) = 73.74
Diameter = 10.0002 inches, or 10 inches since were rounding to the nearest whole number.
The value of k in the translated graph of f(x - h) + k is; k = 2
<h3>How to carry out Translations on Graphs?</h3>
We are given the parent function of f(x) = x³.
Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;
The rule of translation is;
(x, y) → (x + 3, y + 2)
That means;
The translation is 3 units to the right and 2 units up
The equation of the translated graph is equal to;
f(x) = (x - 3)³ + 2
Thus;
The value of k is equal to 2.
Read more about Graph Translations at; brainly.com/question/4025726
#SPJ1