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3 years ago

Find the range of (f+g)(x) when f(x) = (x+4)^2 and g(x) = 3

1 answer:

7 0

$(f+g)(x)=f(x)+g(x)\\\\f(x)=(x+4)^2;\ g(x)=3\\\\(f+g)(x)=(x+4)^2+3=(x)^2+2(x)(4)+4^2+3\\\\=x^2+8x+16+3=x^2+8x+19\\\\Used:\\\\(a+b)^2=a^2+2ab+b^2$

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9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds

Pie

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

7 0

3 years ago

Read 2 more answers

Solve the math problem please

koban [17]

Answer:

Option D

Step-by-step explanation:

Collect all like terms and Calculate

-10x-7x= -17x

20-54= -34

Divide

-17x < -34

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3 years ago

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What two facts can you double to find 8 X 4 explain

aleksandr82 [10.1K]

You could multiply again by 2 or long multiply by 2

8 0

3 years ago

Connie's dog fido weighs 35 pounds. Her vet placed fido on a diet. What inequality can you write to find the average number of p

lawyer [7]

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Step-by-step explanation:

Given,

Weight of fido's dog = 35 pounds

Time period = 6 months

Goal weight to reach = 28 or less pounds

Let,

m be the weight to be lose each month.

Weight of dog - Time period * Weight to lose each month ≤ Goal weight

$35-6m\leq 28\\-6m\leq 28-35\\-6m\leq -7$

Dividing both sides by -6

$\frac{-6m}{-6}\leq \frac{-7}{-6}\\\\m\leq 1.17$

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Keywords: division, subtraction

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago

Simplify completely

Mandarinka [93]

Answer: x+2 / x+ 9, x = -2, x=-9 ( A )

Solution:

Breakdown the problem into two sets

Step 1: simplify x^2 -10x - 24

Factorize the above equation,

Multiply the last term (24) with the first term coefficient i.e. 1

Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10

x2 - 12x + 2x - 24 >>>> (x2-12x) + (2x-24) >>> take common

>>>> x(x-12) + 2( x-12)

Step 3: (x + 2) (x - 12)

Step 4: Step 1: simplify x^2 - 3x - 108 using the same steps

x2 - 12x + 9x - 108 >>>> take common x(x-12) + 9 ( x -12) >>>

(x + 9) (x - 12) final product

Now, Simplify the equation as a whole

(x + 2) (x - 12) / (x + 9) (x - 12) Note: (x - 12) cancels out

= (x + 2) / (x + 9) with x= -2 and x= -9

6 0

3 years ago