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GaryK [48]
2 years ago
7

Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{r}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-

2,1]$. the range of $f(x) \cdot g(x)$ is $[a,b]$. what is the largest possible value of $b$
Mathematics
1 answer:
grigory [225]2 years ago
3 0

The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.

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A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What
kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

<u>Solution</u>:

Let width  = x\ cm

Length = x+3\ cm

Height = x+3+4=x+7\ cm

<u>As we know:</u>

<u />Volume\ of\ box=length\times width\times height

308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\  Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\  x^{2} +14x+77=0\\ \\ \\

As width can never be in negative, x= 4\ cm

By substituting the value:-

Width  = x\ cm = 4 cm

Thus, width of the box is 4 cm.

4 0
3 years ago
Which expression is equivalent to z to the fifth power
Svetlanka [38]
Z • z^4
have a nice day!
5 0
3 years ago
Read 2 more answers
I need some help with this.
zepelin [54]

The domain is the left side of the table, which is (x)

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Your answer is B

4 0
3 years ago
What is the unit rate of 1/7 and 1/21 ? this is very confusing?
Xelga [282]

Answer:

the unit rate of 1/7 is itself (1/7), and for 1/21 is 1/21.

Step-by-step explanation:

this is because these rates/ratios are unit fractions. so if the numerater is 1, theres nothing you can do to simplify it.

you can check with the ceaser method as well, but you're still going to find the same solution.

plus, for example, if it takes 7 grams of sugar to make 1 cake, it wouldnt make sense for 1 gram of sugar to make 7 cakes.

hope this helped clear up your confusion <3

5 0
2 years ago
Help ASAP! question in pic! will give brainliest!
serious [3.7K]
I think it’s 2
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8 0
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