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3 years ago

Directions: Simplify the following monomials.

Mathematics

1 answer:

Ulleksa [173]3 years ago

6 0

Answer:

Dangg... A summary

Step-by-step explanation:

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Each equation represents a linear relationship. Examine each and determine the slope and y- intercept

marysya [2.9K]

Answer:

Slope is -3/7. Y intercept is 250/7.

Step-by-step explanation:

Since they asking for the slope and y intercept, let put it in slope intercept form.

$y = mx + b$

where m is the slope and b is the y intercept.

The equation given is in standard form so we will convert it to slope intercept.

$3x + 7y = 250$

$7y = 250 - 3x$

$y = \frac{250}{7} - \frac{3}{7} x$

$y = - \frac{3}{7} x + \frac{250}{7}$

The slope is -3/7

The y intercept is 250/7

6 0

3 years ago

Find the perimeter or circumference and area

Romashka [77]

Answer:

Step-by-step explanation:

The diameter is just the radius times two, so divide the diameter by two and you will have the radius of the circle.

4 0

3 years ago

Negative 1X minus 4X equals -4 minus 4X +4+5

Bond [772]

Answer:

X = - 5

Step-by-step explanation:

The above word problem is mathematically interpreted thus:

-1X - 4X = -4 - 4X + 4 + 5

-5X = - 4 - 4X + 4 + 5

-5X = - 4 - 4X + 9

Collect like terms

-5X + 4X = - 4+ 9

-X = 5

X = - 5

5 0

3 years ago

Mike and his dad are retiling his bathroom floor. They have budgeted $200 for the tiles and supplies. The tiles cost $1.85 each

Feliz [49]

Answer:

Equation: $114.90 + $1.85<em>x</em> = 200

Solution: They can buy 46 tiles.

Step-by-step explanation:

First, subtract 114.90 from both sides to get 1.85<em>x</em> = 85.10.

Divide 85.10 by 1.85 to get 46, which is the answer.

7 0

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