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ivann1987 [24]
3 years ago
10

Two students, Jennifer and Jamal, factored the trinomial 6x2 − 3x − 9. Jamal factored it as 3(2x − 3)(x + 1) and Jennifer factor

ed it as (2x − 3)(3x + 3). Indicate which student factored the trinomial completely and which student did not, and explain why.
Mathematics
2 answers:
GaryK [48]3 years ago
7 0
Jamal factored it completely.

in Jennifer's answer, 3x+3 has a common factor of 3 which can be factored to become 3(x+1) which is what Jamal did.
vaieri [72.5K]3 years ago
3 0

no thats wrong Jamal factored it correctly

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monitta
I hope this helps you

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dybincka [34]

i) The given function is

f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}

The domain is

(x-5)(x+4)^2\ne 0

(x-5)\ne0,(x+4)^2\ne 0

x\ne5,x\ne -4

ii) For vertical asymptotes, we simplify the function to get;

f(x)=\frac{(2x+1)}{(x+4)^2}

The vertical asymptote occurs at

(x+4)^2=0

x=-4

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

2x+1=0

2x=-1

x=-\frac{1}{2}

iv) To find the y-intercept, we substitute x=0 into the reduced fraction.

f(0)=\frac{(2(0)+1)}{(0+4)^2}

f(0)=\frac{(1)}{(4)^2}

f(0)=\frac{1}{16}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0

The horizontal asymptote is y=0.

vi) The function has a hole at x-5=0.

Thus at x=5.

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0
2 years ago
Select the statement that is true about the temperatures -9°F and -7°F.
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Answer:

C. -7f > -9 because -7f is warmer than -9f

Step-by-step explanation:

Process of Elimination

You can rule out B and D because the answer contradicts itself.

Previous Knowledge

We know -7f is warmer than -9f because its closer to 0 so we can rule out A

Therefore through the process of elimination you can conclude the answer is C

3 0
3 years ago
If x = -21, what is y?
3241004551 [841]

Answer:

What is y?

Step-by-step explanation:

8 0
3 years ago
harry invests £6000 in a savings account. the account pays 3.4% compound interest per year. work out the value of his investment
Nataly_w [17]

Invested amount (P0 = £6000.

Rate of interest (r) = 3.4% = 0.034.

We know compound interest formula

A = P(1+r)^t

We need work out the value of his investment per year.

So, we need to plug t=1 and plugging values of P and r in the formula above, we get

A = 6000(1+0.034)^1

A = 6000(1.034)

A = 6204.

<h3>Therefore, the value of his investment per year is £ 6204.</h3>

Now, we need to work out the value of his investment after 3 years.

So, we need to plug t=3.

A = 6000(1+0.034)^3

A = 6000(1.034)^3

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A = 6000 × 1.105507304

A = 6633.04

<h3>Therefore, the value of his investment after 3 year is  £ 6633.04.</h3>
6 0
2 years ago
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