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Naily [24]
3 years ago
12

Select the correct answer. If the zeros of a quadratic function are 3 and 8, what are the factors of the function? A. (x + 8) an

d (x − 3) B. (x − 8) and (x + 3) C. (x + 8) and (x + 3) D. (x − 8) and (x − 3)
Mathematics
2 answers:
djverab [1.8K]3 years ago
5 0

Answer:

  D.  (x − 8) and (x − 3)

Step-by-step explanation:

The only way a product is zero is if one of the factors is zero. So, a zero of the function will make a factor of the function be zero.

The zero x=3 will make the factor (x-3) = 0.

The zero x=8 will make the factor (x-8) = 0.

The factors are (x-3) and (x-8).

Marat540 [252]3 years ago
4 0

Answer:

C. (x + 8) and (x + 3)

Step-by-step explanation:

I did the test

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George buys some first class and second class stamps to put on some letters. Each first class stamp costs 67p, and each second c
Dafna1 [17]

Answer:

£191.36

Step-by-step explanation:

Sum the parts of the ratio, 1 + 4 = 5 parts

Divide 320 by 5 to find the value of one part of the ratio.

320 ÷ 5 = 64 ← value of 1 part of the ratio , thus

4 parts = 4 × 64 = 256

Thus he bought 64 first class and 256 second class.

Cost = (64 × £0.67) + (256 × £0.58)

        = £42.88 + 148.48

        = £191.36

3 0
3 years ago
Which letter on the diagram below represents the name of the circle?
Alik [6]

Answer:  (b) A

<u>Step-by-step explanation:</u>

A: the center of the circle

B: the diameter of the circle

C: the radius of the circle

D: <em>not sure, could be the perimeter</em>

<em />

Circles are named by their center, so this is named "Circle A".

6 0
3 years ago
Read 2 more answers
Which equation represents the line that passes through points (1, -5) and (3,-17)
zvonat [6]

Answer:

A) y=-6x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-17-(-5))/(3-1)

m=(-17+5)/2

m=-12/2

m=-6

y-y1=m(x-x1)

y-(-5)=-6(x-1)

y+5=-6(x-1)

y=-6x+6-5

y=-6x+1

8 0
2 years ago
What is the period of the graph of y = 5 sin (pi x) + 3?
Natasha2012 [34]

Equate whats inside (arguments) \sin with base period of sine function 2\pi and solve for x to get period,

\pi x=2\pi\implies x=2

So the period of the graph of the given function is precisely 2.

Hope this helps :)

7 0
3 years ago
30 POINTS! Consider the system of linear equations and the matrix equations below.
fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]

AX=B

X = A^{-1}B

A^{-1} = |A|/Adj A

|A| = (-1)(-2)-(3)(4)

|A| = 2-12

|A| = -10

Adj A = \left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = -1/10\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]

X= A^-1 B

X = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]\left[\begin{array}{c}2&22\end{array}\right]

X=1/10X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]

So, x = 7 and y =3

Hence Option C is correct.

4 0
3 years ago
Read 2 more answers
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