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slega [8]
3 years ago
9

Consider the function f, where f(x) = x^2 + 2x - c and c is an integer.

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

B

Step-by-step explanation:

For the function f(x) = x^2 + 2x - c  to have integer zeros it must factor. Substitute c for the values listed below and see which options factor.

A. 2  

f(x) = x^2 + 2x - 2 does not factor

B. 3  

 f(x) = x^2 + 2x - 3 does factor into (x + 3)(x - 1) so the zeros would be x = -3, 1

C. 4  

f(x) = x^2 + 2x - 4 does not factor

D. 6

f(x) = x^2 + 2x - 6 does not factor

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Mr. Wong cuts a coil of wire into two pieces in the ratio of 3:4. The length of the longer piece is 32 centimeters. What is the
zheka24 [161]

Answer:

56 cm

Step-by-step explanation:

The ratio of the lengths of the pieces is 3:4.

The longer piece is 32 cm.

We set up a proportion to find the length of the smaller piece.

Let the length of the smaller piece be x.

3 is to 4 as x is to 32

3/4 = x/32

4x = 3 * 32

4x = 96

x = 24

The smaller piece is 24 cm.

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6 0
2 years ago
Read 2 more answers
The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?
gladu [14]
We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub


p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
p= \frac {(x-6)(x+1)(x+4)}{(x-2)}

7 0
3 years ago
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Answer:

The median-median line is a better prediction.

Step-by-step explanation:

Both lines predict a value for x=50 that is less than 60. The median-median line value is closer to 60, so could be considered a better prediction.

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3 years ago
4 Solve the system to find the y-value of the
ser-zykov [4K]

Answer: B

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-18 = -18

TRUE

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TRUE

3 0
2 years ago
I need to know what the measure of mkl is
LUCKY_DIMON [66]
I would say the answer would be 105 
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