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Elanso [62]
3 years ago
10

If f(x) = 6x-4 and g(x) = 2x + 2, find (f-9)(x).

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Answer:

=12x2−14x−26

Step-by-step explanation:

(6x−4−9)(2x+2)

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What is an equation of the line that passes through the points (0, -7) and (-8, 3)?
avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{4} x-7  

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}

So, the slope is -\frac{5}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute real values for the m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{4} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7

7 0
3 years ago
Evaluate the expression: H - 7 for H = 22
Orlov [11]

Answer:

15

Step-by-step explanation:

H - 7

When H = 22, replace H with 22 in the equation.

22 - 7 = 15

7 0
3 years ago
Read 2 more answers
Simplest form 2/5ths
ratelena [41]

Answer:

2/5 is the simplest form. But in decimal form it is 0.4

Step-by-step explanation:

2/5

=2 divided by 5

=0.4

7 0
3 years ago
Read 2 more answers
At the beginning of an experiment, the temperature of a solution was 48°C. During a 6-hour
ExtremeBDS [4]

9514 1404 393

Answer:

  • -2.2(6) +1.8(4) . . . temperature change
  • 42 °C

Step-by-step explanation:

At the end of the first 6 hours, the temperature change was ...

  (-2.2 K/h)(6 h) = -13.2 K

The change in the next 4 hours was ...

  (1.8 K/h)(4 h) = 7.2 K

Then the total change over the 10-hour period was ...

  (-2.2)(6) +(1.8)(4) . . . . . expression for temperature change

This evaluates to -13.2 +7.2 = -6.

__

The final temperature is the sum of the initial temperature and the temperature change:

  final temperature = 48 °C -6 °C = 42 °C

_____

<em>Additional comment</em>

When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).

8 0
3 years ago
What's 75/100 in simplest form
bagirrra123 [75]
Divide the numerator and denominator by their gcf (25)
75/25= 3
100/25= 4

Final answer: 3/4
7 0
3 years ago
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