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3 years ago

Help with #9 please?

Mathematics

1 answer:

nekit [7.7K]3 years ago

4 0

We're given a parabola

$y=x^2-4$

and a line

$y = 2x+b$

The zeros of the parabola are

$0=x^2-4$

$4=x^2$

$x=\pm 2$

We see that (-2,0) is on the line as well:

$y = 2x+b$

$0 = 2(-2)+b$

$b=4$

Choice D

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F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).

const2013 [10]

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

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2 years ago

Jonas has been saving for a video game . last year it costs $28 this year it costs $36 find the percent of change in the cost .

iren2701 [21]

Answer:

Last year the cost was $28.

This year the cost is $36.

$36 - $28 = $8

Percent of increase = amount of increase ÷ original amount

$8/$28 = $0.286

$0.286 · 100 = 28.6%

There has been a 28.6% of change in the cost.

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3 years ago

12y+d=−19y+t solve for y?

sergij07 [2.7K]

Without values for the other variables, I assume you're asking for a literal equation.

12y+d=-19y+t
31y+d=t
31y=-d+t
y=(-d+t)/31

8 0

3 years ago

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iogann1982 [59]

Degree is the value of the highest power of the variable, and hence in this case is 8

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The answer to #5 is 171
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