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elixir [45]
3 years ago
6

F(x) = 3x2 – 2x + 4 and g(x) = 5x2 + 6x – 8, find (f – g)(x)

Mathematics
1 answer:
makkiz [27]3 years ago
7 0
(f - g)(x) = (3x² - 2x + 4) - (5x² + 6x - 8<span>)
</span>(f - g)(x) = 3x² - 2x + 4 - 5x² - 6x + 8
(f - g)(x) = -2x² - 8x + 12
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If triangle ABC is defined by the coordinates A(3, 6), B(7, 6), C(7, 3) is dilated by a scale factor of 3, with resulting vertex
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Write the equation of the line that goes through each set of points (-1,6),(3-2)
Mariana [72]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-1, 6) and (3, -2). Substitute:

m=\dfrac{-2-6}{3-(-1)}=\dfrac{-8}{4}=-2\\\\y-6=-2(x-(-1))\\\\y-6=-2(x+1)\qquad\text{use distributive property}\\\\y-6=-2x-2\qquad\text{add 6 to both sides}\\\\y=-2x+4\qquad\text{add 2x to both sides}\\\\2x+y=4

<h3>Answer:</h3><h3>y - 6 = -2(x + 1)    <em>point-slope form</em></h3><h3>y = -2x + 4      <em>slope-intercept form</em></h3><h3>2x + y = 4     <em>standard form</em></h3>
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3 years ago
Write an expression for the calculation double 2 and then add 5.
Mariana [72]

The expression is (2x2)+5

8 0
3 years ago
Find the values of a, b and c.
valina [46]

Look at the picture.

Corresponding Angles are equal.

Alternate Angles are equal.

Consecutive Angles add up to 180°.

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3a and 45 are Consecutive Angles. Therefore

3a + 45 = 180    |subtract 45 from both sides

3a = 135      |divide both sides by 3

<h3>a = 45.</h3>

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(2c - 1) and 45 are Corresponding Angles. Therefore

2c - 1 = 45     |add 1 to both sides

2c = 46     |divide both sides by 2

<h3>c = 23.</h3>

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3a and (12b + 3) are Alternate Angles. Therefore

3(45) = 12b + 3

135 = 12b + 3     |subtract 3 from both sides

132 = 12b      |divide both sides by 12

<h3>b = 11.</h3>
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4 years ago
Stem of Equations<br> Substitute (2, 1) into x + 3y = 5 to get<br> =
algol [13]

Answer:

see below!!

Step-by-step explanation:

x + 3y = 5,

y = –x + 3

Substitute the point into each equation and verify that it is true

x + 3y = 5,  2 +3(1) = 5   5 = 5  true

y = -x +3    1 = -2+3     1=1  true

(2,1) is a solution

6 0
2 years ago
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