All categories

3 years ago

If (ax+2)(x+b) = 3x^2 + 5x + c for all values of x, what is the value of c?

Mathematics

1 answer:

Papessa [141]3 years ago

5 0

Answer:

c=2

Step-by-step explanation:

(ax+2)(x+b) = ax^2+2x+abx+2b = ax^2+(2+ab)x+2b

Given, ax^2+(2+ab)x+2b = 3x^2+5x+c

a=3

2+ab=5 => 2+3b=5 => 3b=5-2=3 => b=1

2b=c => c=2*1 = 2

So, c=2

You might be interested in

Write add, divide, multiply, and subtract in the correct order to complete the following sentence.

Bad White [126]

Answer:

what grade are you??.......

5 0

2 years ago

Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines

Vedmedyk [2.9K]

Answer:

Hence, the probability of a Negative test is $P(T^C)=0.5904$ .

Step-by-step explanation:

(a)

Let $D=$ Drug user and $T=$ Test positive

Probability of drug users $P(D)=36\%=0.36$

$P(\frac{T}{D})=96\%=0.96$

$P(\frac{T^c}{D^c})=90\%=0.90$

(b)

Find the Probability of a Negative test,

$P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)$

$\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36$

$\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36$

$\Rightarrow P(T^C)=0.576+0.0144$

$\Rightarrow P(T^C)=0.5904$

4 0

2 years ago

V = 1/3 πr^2h<br> Pls help

SpyIntel [72]

Well if we are solving for V then the answer is V= V = πr^2h/3
If your solving for a different letter then tell me. Thanks

5 0

3 years ago

A crew is made up of 8 men; the rest are women. If 32 % of the crew are men, how many people are in the crew?

iVinArrow [24]

Answer:

There are 33 people in the crew

5 0

2 years ago

Please help im stuck on this question

FrozenT [24]

Answer:

Step-by-step explanation:

Slope is the first y - the second y divided by the first x- the second x. Therefore we take -8-4= -12 and -7-0= -7. Using the formula, we get -12/-7. The negatives cancel out and we get 12/7 which is A.

3 0

2 years ago