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mamaluj [8]
2 years ago
8

represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Mathematics
1 answer:
erik [133]2 years ago
6 0

Answer:

y =  \frac{4}{5} x -  \frac{22}{5}

Step-by-step explanation:

y = mx + b

- 2 =  \frac{4}{5} (3)  + b \\  - 2 =  \frac{12}{5}  + b \\  - 2 -  \frac{12}{5}  = b \\   - \frac{10}{5}  -  \frac{12}{5}  = b \\  -  \frac{22}{5}  = b

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

y =  \frac{4}{5} x  -  \frac{22}{5}

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B= Exactly one solution
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Coras kitten weighs 1,200 grams. If he weighed 550 grams at the last visit to the veterans office, what percent is the increase
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First, find the different of the two weights
d = 1,200 - 550
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The different of the weights is 650

Second, to find the percentage, we should compare the difference to the former weight. So we compare 650 to 1,200, then multiply it to 100%
percentage = 650/1,200 × 100%
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3 years ago
Place 3 numbers between 12 and 60 to make a sequence of 5 numbers with a common difference
Vilka [71]

The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.

<h3>What three numbers should be placed between 12 and 60?</h3>

It follows from the task content that the first and last numbers are; 12 and 60 respectively.

Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,

It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.

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Gabrielle wants to tile a room with an area of 320 square feet. The width of the room is 4/5 it's length. What are the length an
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3 years ago
Find all real zeros of f(x) = 2x^2 +5x-18 algebraically.
den301095 [7]
2x2-5x-18=0

Two solutions were found :

x = -2
x = 9/2 = 4.500
Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2x2 - 5x) - 18 = 0
Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2-5x-18

The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18

Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .

-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization

Equation at the end of step 2 :

(2x - 9) • (x + 2) = 0
Step 3 :

Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.
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2 years ago
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