Answer:
m<C = 66°
Step-by-step explanation:
Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:
(5x + 9)° = (7x + 3)°
Solve for x
5x + 9 = 7x + 3
Collect like terms
5x - 7x = -9 + 3
-2x = -6
Divide both sides by -2
x = 3
✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)
m<C + 90° + (7x + 3)° = 180 (substitution)
Plug in the value of x and solve
m<C + 90 + 7(3) + 3 = 180
m<C + 90 + 21 + 3 = 180
m<C + 114 = 180
m<C = 180 - 114 (Subtraction property of equality)
m<C = 66°
He would pay $14. Each juice bottle costs $2, so 7 bottles cost $14.
So, the cubic polynomial function is 
No, none of the roots have multiplicity.
Step-by-step explanation:
We need to write an equation for the cubic polynomial function
whose graph has zeroes at 2, 3, and 5.
Zeros mean:
x=2, x=3 and x=5
or
x-2=0, x-3=0 and x-5=0
Multiplying all the factors:

So, the cubic polynomial function is 
No, none of the roots have multiplicity, A root has multiplicity if it appears more than 1 time. Like if (x-1)^2 is a root then 1 has multiplicity 2
Keywords: Polynomial Function
Learn more about Polynomial Function at:
#learnwithBrainly
Check out the graph below. We see that (3,0) is a root or x intercept. More specifically, the graph only touches the x axis at this point, rather than cross over (in contrast to a root like (-2,0) ). We say that the root here is of multiplicity 2. The multiplicity is due to the exponent of 2 over the (x-3) factor.
You can also say that the graph is decreasing on the left side of (3,0) and then it bounces off the root x = 3 to increase afterward. In this region, the graph never goes below the x axis.
Answer:
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Step-by-step explanation:
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