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Ann [662]
3 years ago
13

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

Mathematics
1 answer:
Elza [17]3 years ago
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)

Slope

  • m=-4-1/-1=5

Equation in point slope form

  • y-1=5x
  • y=5x+1

Put (0,0)

  • 0<1

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)

  • 0>-2

Symbol is >

Inequality is

  • y>x-2
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&lt; 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
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