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3 years ago

6

water flows from a faucet at a rate of 5 liters every 25 seconds. At this rate, how much water will flow form the faucet in 45 s

econds. Make a table.

1 answer:

Romashka-Z-Leto [24]3 years ago

3 0

I cant make a table just multiply 45 by 5 Hope this helped

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Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.

Assoli18 [71]

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

= 5(x² - 2x - 3) ← distribute parenthesis by 5

= 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

6 0

3 years ago

a 90% confidence interva is constructed for the population mean. If a 95% confidence interval had been constructed instead (ever

zhuklara [117]

Answer: increased

Step-by-step explanation:

An x% confidence interval indicates that a person can be x% confident that true population parameter lies in it.

More level of confidence more width of the interval.

As level of Confidence interval increases width of interval increases.

Width of interval $\propto$ level of Confidence interval

So, If a 95% confidence interval had been constructed instead of 90% the width of the interval would have been<u> increased.</u>

6 0

2 years ago

Won't you answer a poor sinner's question HELP! I SWEAR I'LL MARK IT AS BRAINIEST OR SMTHN

galina1969 [7]

Answer:

you needed to mark this question for the science section

Step-by-step explanation:

6 0

2 years ago

Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no

Triss [41]

2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution

8 0

2 years ago

Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.

hoa [83]

Answer:

Hence, the average rate of change is:

$\dfrac{97}{12}$

Step-by-step explanation:

We are asked to calculate the average value of the function:

$f(x)=x^2-\dfrac{1}{x}-4$ in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

$\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}$

Now,

$f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}$

$f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}$

Hence, the average rate of change is:

$\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}$

Hence, the average rate of change is:

$\dfrac{97}{12}$

8 0

3 years ago

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