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2 years ago

What is the slope of the line that passes through the points (2, 6) and (8, 3)?

Mathematics

1 answer:

Deffense [45]2 years ago

7 0

Answer:

$-\frac{1}{2}$

Step-by-step explanation:

The slope of a line is the change in the line, it is also called; $\frac{rise}{run}$ . The equation to find the slope of a line is;

$\frac{y_2 - y_1}{x_2 - x_1}$

Substitute in the given points;

( 2, 6 ) and ( 8, 3 )

$\frac{3 - 6}{8 - 2}$

Simplify,

$\frac{-3}{6}$

$-\frac{1}{2}$

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how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antif

Fynjy0 [20]

Let x=gallons of 80% solution to be mixed
x+80=gallons go final 70% mixture
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80%*x+30%*80=70%*(x+80)
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3 years ago

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kozerog [31]

Answer:

It's 11.72

Step-by-step explanation:

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2 years ago

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Mrs. Jasper has some 8-ounce cups for serving punch. Her punch bowl holds 2 gallons of punch. Mrs. Jasper thinks she can serve f

Dima020 [189]

Answer:

She is wrong

Step-by-step explanation:

in one gallon there is 128 ounces, and 2 would make it 256.

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2 years ago

Help help help help help Select the equivalent expression (3^2x5^3

swat32

Answer:

Step-by-step explanation:

(3^2x5)^3=91125

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2 years ago

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The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S

IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand of the function cannot be a negative number

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

$144\leq 0$ ----> is not true

This value of x not satisfy the domain

substitute

$f(x)=\sqrt{-144}$ ----> this value is undefined

For x=-144

$-144\leq 0$ ----> is true

This value of x satisfy the domain

substitute

$f(x)=\sqrt{-(-144)}$

$f(x)=\sqrt{144}$ ----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

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2 years ago

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What is the slope of the line that passes through the points (2, 6) and (8, 3)?​

What is the slope of the line that passes through the points (2, 6) and (8, 3)?