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2 years ago

In the equation Y = 8x+ 5 the name for y are

Mathematics

1 answer:

VLD [36.1K]2 years ago

4 0

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

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The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet

nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

$f(x)=3(x-2)+4$

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval $[a,b]$ is given as :

$\frac{f(b)-f(a)}{b-a}$

For the given function we need to find the average rate of change between 2nd year and 6th year. $[2,6]$

So, we have:

$f(2)=3(2-2)+4=3(0)+4=4$

$f(6)=3(6-2)+4=3(4)+4=12+4=16$

Thus, average rate of change will be:

$\frac{f(6)-f(2)}{6-2}$

⇒ $\frac{16-4}{6-2}$

⇒ $\frac{12}{4}$

⇒ $3$

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0

3 years ago

What is the exact value of the expression the square root of 20. + the square root of 24. - the square root 54.? simplify if pos

aksik [14]

$\sqrt{20} = \sqrt{4} \sqrt{5} = 2 \sqrt{5}$
$\sqrt{24} = \sqrt{4} \sqrt{6} = 2 \sqrt{6}$
$\sqrt{54} = \sqrt{9} \sqrt{6} = 3 \sqrt{6}$

Because you can only add and subtract radicals with the same radicand,
you get 2 $\sqrt{5} - \sqrt{6}$
that is the simplified answer but if you want it in decimals, 2.022 is what you get.

4 0

2 years ago

Read 2 more answers

You mow the lawn to earn your allowance. Each time you mow the lawn you earn $12. Write an equation for the number of dollars, d

lidiya [134]

It would simply be d(m)

5 0

3 years ago

Read 2 more answers

A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must b

Yuki888 [10]

Answer:

5 gallons of water must be added.

10 gallons to start with

adding 'x' gallons of water final volume = 10 + x

.9 (10) = amount of vinegar

.1(10) = amount of water

amount of vinegar before and after water addition is constant

.9(10) = .6(10+x)

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

(i truly hope i helped you

8 0

1 year ago

Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

Online By Mail Total

Male 12 8 20

Female 24 6 30

Total 36 14 50

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

$\frac{6}{50}$ P(Pays bill by mail/Customer is female) = $\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}$