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3 years ago

If f(x)=2x^2+2 and g(×)=x^2-1 find (f-g)(x)

1 answer:

8 0

$f(x)=2x^2+2\qquad\qquad g(x)=x^2-1\\\\\\
\big(f-g\big)(x)=f(x)-g(x)=(2x^2+2)-(x^2-1)=2x^2+2-x^2+1=\\\\=\boxed{x^2+3}$

Answer B)

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Write a system of inequalities using the given graph

ziro4ka [17]

For dark line

(0,1)
(-1,-4)

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m=-4-1/-1=5

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y-1=5x
y=5x+1

Put (0,0)

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)
(0,-2)

Equation in intercept form

x/2-y/2=1
x-y=2
y=x-2

Put (0,0)

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7 0

2 years ago

Given point P (3, 4). What is the distance of point P from (a) x axis (b) y axis?

vova2212 [387]

Answer:

a) 3

b) 4

Step-by-step explanation:

The point P is(3,4)

which means that 3 is the point P's x- coordinate and 4 is it's y-coordinate

Because we use the axes as our reference point when plotting points,

the distance of P from x-axis and y-axis would be the point itself.

6 0

3 years ago

. A tennis supply store pays a wholesaler $90 for a tennis racquet and sells it for $144. What is the markup rate?

I am Lyosha [343]

Formula : Amount of change / Original amount

1. 144 - 90/ 144

2. Subtract 144 and 90

3. 54/ 144

4. Divide 54 by 144

5 0.375

6 Move the decimal two places to the right.

7. 37.5 %

Answer: 37.5% is the markup rate

6 0

3 years ago

Lines g, h, and l are parallel and m< 2 = 132°.

xxMikexx [17]

M < 2 and m < 6 are corresponding angles and are equal....so < 6 = 132.

< 6 and < 8 form a line and are equal to 180

< 6 + < 8 = 180
132 + < 8 = 180
< 8 = 180 - 132
< 8 = 48 <===

4 0

2 years ago

Read 2 more answers

If if Spencer spent a total of $704.00 in the month of July, which is the best estimate for the amount of money he spent on clot

Maksim231197 [3]

Answer:

$Clothing = \$190.0$

Step-by-step explanation:

Given [Missing details]

Spencer's expenses

$Clothing = 27\%$

$Gasoline = 11\%$

$Food = 44\%$

$Entertainment = 18\%$

$Total= \$704.00$

Required:

An estimate for the amount spent on clothing

To do this, simply multiply the clothing percentage by the total amount.

$Clothing = 27\% * \$704.00$

$Clothing = 0.27 * \$704.00$

$Clothing = \$190.08$

Approximate

$Clothing = \$190.0$

6 0

3 years ago