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telo118 [61]
3 years ago
9

Find the slope of the line that passes through the points (7,-5) and (-1, -3).

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

m=\frac{-1}{4}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (7, -5)

Point (-1, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. Substitute [SF]:                    m=\frac{-3+5}{-1-7}
  2. Add/Subtract:                      m=\frac{2}{-8}
  3. Simplify:                               m=\frac{-1}{4}
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Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function
Mkey [24]

The question is incomplete:

Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p = s^2+9s-142, where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?

Answer:

s>42

Reyna needs to sell more than 42 T-shirts.

Step-by-step explanation:

Given that you have to find the amount of T-shirts that should be sold to earn a profit of more than $2,000, you have to find the amount required to earn $2,000 by replacing p with 2,000 and solving for s:

s^2+9s-142=2000

s^2+9s-2142=0

(s+\frac{9}{2})^2-2142-(\frac{9}{2})^2=0

(s+\frac{9}{2})^2=2142+(\frac{9}{2})^2

(s+\frac{9}{2})^2=2142+\frac{81}{4}

(s+\frac{9}{2})^2=\frac{8649}{4}

\sqrt{(s+\frac{9}{2})^2 } =\sqrt{\frac{8649}{4} }

s+\frac{9}{2}=\frac{93}{2}

s=\frac{93}{2}- \frac{9}{2}

s=\frac{186-18}{4}

s=\frac{168}{4}

s=42

According to this, Reyna needs to sell more than 42 T-shirts to earn a profit of more than $2,000.

8 0
3 years ago
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What is the solution of the system? y=145-5x and 0.1+0.5x=14.5
Jobisdone [24]
145−5x(0.1)+0.5=14.5
Step 1: Simplify both sides of the equation.
145−5x(0.1)+0.5=14.5
145+−0.5x+0.5=14.5
(−0.5x)+(145+0.5)=14.5(Combine Like Terms)
−0.5x+145.5=14.5
−0.5x+145.5=14.5
Step 2: Subtract 145.5 from both sides.
−0.5x+145.5−145.5=14.5−145.5
−0.5x=−131
Step 3: Divide both sides by -0.5.
−0.5x
−0.5
=
−131
−0.5
x=262
Answer:
x=262

8 0
3 years ago
How to determine if a series has a sum?
dybincka [34]
You can use sigma notation to represent an infinite series. For example, ∞∑n=110(12)n−1 is an infinite series. The infinity symbol that placed above the sigma notation indicates that the series is infinite. To find the sum of the above infinite geometric series, first check if the sum exists by using the value of r .
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Answer:

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Step-by-step explanation:

71 x 140 = 9940

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if an earthquake is 121,000 times as intense as the minimum detected earthquake, what is its richter number?
Ray Of Light [21]

Answer:

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Step-by-step explanation:

if it is times as intense as a minimum, it would be the richter one.

i think. i was never good in the earthqueck math section stuff. but im sure the 121,000 is the right one. :)

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