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3 years ago

Which of the following shows the division problem below in synthetic division

Mathematics

2 answers:

alexandr402 [8]3 years ago

7 0

Answer:

The Answer is C

Step-by-step explanation:

Look at each coefficient next to the degree of the radical. When inputting that number for synthetic division (From greatest degree to least) you would get 8 1 and -5. The number that is the divisor is the 6, but you have to set (x - 6) to equal zero, which would get you a number of 6.

Sonbull [250]3 years ago

5 0

Answer: the answer is B on apex !

Step-by-step explanation:

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Which two expressions are equivalent?

Elena L [17]

Answer:

C) 4a-2a=a+a

Step-by-step explanation:

4a-2a=2a

2a=a+a

2a=2a

3 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

2 years ago

how long will it take for an investment of 2000 to double given an annual interest rate of 6% compounded monthly

Agata [3.3K]

It will take about 16.66 months for the investment to double.
Hope this helps.

5 0

3 years ago

30 Points please help!! Please explain too!

sergiy2304 [10]

Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet

3 0

3 years ago

10.) Find the measure of angle E.

Luda [366]

145 degrees. Angle 145 and and E are the same

8 0

2 years ago