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2 years ago

If f ( x ) = 3x^2 + x - 2, then f ( -2 ) =

Mathematics

2 answers:

aniked [119]2 years ago

8 0

Given ,

$f(x) = 3x^{2} + x -2$

Now ,

$f(-2) = 3(-2)^{2} +(-2)-2$

=> f(-2) = 8-4 = 4

PilotLPTM [1.2K]2 years ago

4 0

Answer:

First we substitute -2 into .x

3(-2)^2 + (-2) - 2

12 - 4 = 8

f(-2) = 8 :D

Step-by-step explanation:

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2 years ago

Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’

lora16 [44]

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

$x-0.1x+2.70=56.70$

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the original price of the jeans.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

$(70)-0.1(70)+2.7\stackrel{?}{=}56.70$

Multiply:

$70-7+2.7\stackrel{?}{=}56.7$

Subtract:

$63+2.7\stackrel{?}{=}56.7$

Add:

$65.7\neq56.7$

However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:

$(60)-0.1(60)+2.7\stackrel{?}{=}5.7$

Multiply:

$60-6+2.7\stackrel{?}{=}56.7$

Subtract:

$54+2.7\stackrel{?}{=}56.7$

Add:

$56.7\stackrel{\checkmark}{=}56.7$

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

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3 years ago

Read 2 more answers

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-13
The absolute value signs cancel out a negative only inside the signs, not outside, so the negative sign in the outside keeps.

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