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hoa [83]
3 years ago
15

Find the sum of 2x2 + 3x - 4, 8 - 3x, and -5x2 + 2.

Mathematics
2 answers:
notka56 [123]3 years ago
7 0

Answer:

C) -3 x2 + 6

Step-by-step explanation:

Given algebraic expressions are:

  • \[2x^{2}+3x-4\]
  • \[8-3x\]
  • \[-5x^{2}+2\]

Adding the given expressions:

\[2x^{2}+3x-4 + 8-3x + (-5x^{2}+2)\]

Simplifying:

\[2x^{2}-5x^{2}+3x-3x-4 + 8 + 2\]

\[= (2-5)x^{2}+(3-3)x+(8 -4 + 2)\]

\[= -3x^{2}+6\]

Among the given options, this is equivalent to option C.

inessss [21]3 years ago
3 0
2x^2 +3x -4 +8 -3x -5x^2 +2
-3x^2 + 6

Answer is C) -3x^2 + 6
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If one gallon of paint covers 350 square feet how many gallons will you need to cover a wall that is 138 inches by 102 inches
frosja888 [35]
138in x 102in = 14076in sq.
14076/350=40.217
41 gallons of paint.
6 0
3 years ago
4) Arnold ate breakfast at a restaurant. His total came to $76.75. There is an 8% sales tax and 15% tip. What is Arnold's total
lisov135 [29]

Answer:

The total cost is $95.32.

Step-by-step explanation:

Given:

Total came to $76.75. There is an 8% sales tax and 15% tip.

Now, to find the total cost.

<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>

$76.75 + 8% of $76.75

76.75+\frac{8}{100}\times 76.75

76.75+0.08\times 76.75

76.75+6.14

82.89

The cost after sales tax is $82.89.

Now, <em>the cost after 15% tip:</em>

$82.89 + 15% of $82.89

82.89+\frac{15}{100}\times 82.89

82.89+0.15\times 82.89

82.89+12.43

95.32

The cost after the tip is $95.32.

Therefore, the total cost is $95.32.

8 0
3 years ago
An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute cal
Vinil7 [7]

y = 0.22(12) + .99 = 3.63

A 12 minute call will cost $3.63

7 0
3 years ago
Two numbers with the product of 1 are called what?
MariettaO [177]

Answer:

Two numbers whose product is 1 are called reciprocals

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet pe
s344n2d4d5 [400]

a) The time taken by the rocket to reach the maximum height is 2.75 seconds.

b) The maximum height of the rocket will be 127 feet.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

  • A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second.
  • The height​ h, in​ feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t²+88t+6.

a) The time taken by the rocket will be calculated as:-

We have a function h(t)=−16t²+88t+6. Now by taking the derivative of the function with respect to time and equating it to zero we will get the maximum time in which the rocket will reach the maximum height.

h(t)  =  -16t² + 88t + 6

h'(t)    =     0

-32t   +   88   =  0

32t      =      88

t     =    88 / 32    =  2.75 seconds

So the maximum time is 2.75 seconds.

b) Maximum height will be calculated as:-

Put the value of maximum time in the function h(t)  =  -16t² + 88t + 6 we will get the maximum height.

h(t)  =  -16t² + 88t + 6

h(2.75) = -16(2.75)² + ( 88 x 2.75 ) + 6

h(2.75) = 127 feet

Therefore the time taken by the rocket to reach the maximum height is 2.75 seconds and the maximum height of the rocket will be 127 feet.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

4 0
2 years ago
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