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Svetach [21]
3 years ago
10

A heated piece of metal cools according to the function c(x) = (.5)x − 11, where x is measured in hours. A device is added that

aids in cooling according to the function h(x) = −x − 3. What will be the temperature of the metal after five hours? (1 point)
−8° Celsius
26° Celsius
32° Celsius
56° CelsiusWhat is the answer?
Mathematics
1 answer:
ruslelena [56]3 years ago
8 0
The answer is -8 degrees Celsius
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What is forty-five divided by seven? WILL MARK BRAINLIEST
nalin [4]

Answer:

6.4285714286

Step-by-step explanation:

6 0
3 years ago
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Find an equation of the line passing through the given points. Use function notation to write the equation. ​(3​,8​) and ​(4​,13
Olegator [25]

Answer:

f(x)=5x-7

Step-by-step explanation:

The given line passes through the points;

(x_1,y_1)=(3,8)

and

(x_2,y_2)=(4,13)

Let us find the slope using;

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{13-8}{4-3}

m=\frac{5}{1}=5

The equation is given by;

y-y_1=m(x-x_1)

We substitute the values into the formula to obtain;

y-8=5(x-3)

y=5x-15+8

y=5x-7

There the equation of the line is

f(x)=5x-7

7 0
3 years ago
Find the coordinates of the midpoint of a segment with the given endpoints.
Step2247 [10]

Answer:

a. (1,2), b. (1, 0)

Step-by-step explanation:

a.

\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\\\text{Substitute the values.}\\\frac{-3+5}{2},\frac{5+(-1)}{2}\\\text{Evaluate the numerators.}\\\frac{2}{2},\frac{4}{2}\\\text{Simplify.}\\1,2\\\text{The midpoint of (-3, 5) and (5, -1) is (1, 2).}

b.

\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\\\text{Substitute the values.}\\\frac{-4+6}{2},\frac{-3+3}{2}\\\text{Evaluate the numerators.}\\\frac{2}{2},\frac{0}{2}\\\text{Simplify.}\\1,0\\\text{The midpoint of (-4, -3) and (6, 3) is (1, 0).}

3 0
3 years ago
Solve the following quadratic equation 6x2 – 7x = 20
siniylev [52]

Answer:

<h2>x = 5/2 , x = - 4/3</h2>

Step-by-step explanation:

6x² - 7x - 20 = 0

Using method of factorization

Rewrite - 7x as a difference

That's

6x² + 8x - 15x - 20 = 0

Factor the expression

That's

2x( 3x + 4) - 5( 3x + 4) = 0

Which is

(2x - 5) (3x + 4) = 0

2x - 5 = 0

2x = 5

Divide both sides by 2

x = 5/2

3x + 4 = 0

3x = - 4

Divide both sides by 3

x = -4/3

Hope this helps you

5 0
3 years ago
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Given: angle Q is congruent to angle T and line QR is congruent to line TR
Ainat [17]

3. <u>Two angles and included side (ASA congruence theorem)</u>.

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4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>

<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles \Delta PRQ and \Delta SRT, therefore, by the CSCT these corresponding sides have to be congruent.


3 0
4 years ago
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