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2 years ago

If f(x)=x+2 and g(x)=3x^2+7x find (f x g)(x)

Mathematics

1 answer:

jek_recluse [69]2 years ago

6 0

Answer:

3x³ + 13x² + 14x

Step-by-step explanation:

(f × g)(x)

= f(x) × g(x)

= (x + 2)(3x² + 7x)

= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis

= 3x³ + 7x² + 6x² + 14x ← collect like terms

= 3x³ + 13x² + 14x

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Find two numbers, if their sum is 49 and their difference is 1/2 .

amm1812

Answer:

$x=24\frac{3}{4}\\ y=24\frac{1}{4}$

Step-by-step explanation:

Let the two numbers be x and y

So we have:

$x +y = 49\\x-y=\frac{1}{2}$

using the elimination method, add the two equations together:

$2x=49\frac{1}{2} \\2x=\frac{99}{2}$

solve for x:

$x=\frac{99}{4}\\x=24\frac{3}{4}$

substitute our value for x back into the first equation we made:

$x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}$

therefore,

$x=24\frac{3}{4}\\ y=24\frac{1}{4}$

6 0

2 years ago

2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step

Nutka1998 [239]

Answer:

x=5/13

Step-by-step explanation:

2/3+7/2=9x+5/6+4x

2/3+7/2-5/6=9x+4x

lcm of 2,3,6=6

2/3=4/6 7/2=21/6 5/6=5/6

4/6+21/6-5/6=9x+4x

30/6=13x

5=13x

x=5/13

8 0

2 years ago

Read 2 more answers

How do I do this activity?

d1i1m1o1n [39]

In the X column put 1, 2, and 3

for the y column, plug in the 1, 2, or 3 into the X

for example, a) y=5x+3

x= 1, 2, 3 y=5(1)+3 = 8

y= 8, 13, 18

7 0

3 years ago

A beverage company makes 100% cranapple juice, which is made up of

Vedmedyk [2.9K]

Answer: 54-fluid ounces

5 0

2 years ago

If you save $700 and earn $3 interest for every $100, how much money will you have in all?

Margaret [11]

Answer:

721

Step-by-step explanation

700 divided by 100 is 7.

So you have 7 hundred and 7 times 3 is 21.

700+21=721

4 0

2 years ago

Read 2 more answers