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3 years ago

Write an equation of the line that passes through (2, -5) and is parallel to the line 2y = 3x + 10.

Mathematics

1 answer:

Leto [7]3 years ago

8 0

Answer:

Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).

Slope-intercept form:

y=3x²+4x−25

Point-slope form:

y+5=(3x+10)⋅(x−2)

Step-by-step explanation:

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If you were to solve the following system by substitution, what would be the best variable to folve for and from what equation?

weeeeeb [17]

Answer:

Step-by-step explanation:

It's easiest to divide everything by 3.

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3 years ago

Read 2 more answers

PLEASE HELP AND EXPLAIN! A. y=60x B. y=80x C. y=10x D. y= 6x

Rudik [331]

Answer:

C).

Step-by-step explanation:

One of the points on the graph that the path of bike b crosses is (6,60).

When you divide this to find the unit rate you get 10/1 therefore the equation of bike b= y+10X

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3 years ago

The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

nexus9112 [7]

Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

$c=10,000$

Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

Hence, the projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

8 0

3 years ago

Define mean. Then determine the mean of the following data set (22,18,38,6,24,18)

STALIN [3.7K]

Mean is the average number in the data set.

To get the average we first add all the numbers.

After we add all these numbers we then divide by the number of numbers in the data set.

So we do 22+18+38+6+24+18 which is equal to 126 there are six numbers so we divide 126 by 6. This gives us a mean of 21.

ANOTHER EXAMPLE:

Another example of this is the data set (4,65,7,34,5)

We first add all the numbers and get 115 then we divide by 5 and get 23 as the mean.

8 0

3 years ago

What is the following product?

mixas84 [53]

Question:

What is the following product √30 * √10

2√10

3√10

4√10

10√3

Answer: 10√3

Hope this helps!

7 0

3 years ago