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2 years ago

Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express

Mathematics

2 answers:

Roman55 [17]2 years ago

8 0

Answer:

$(f-g)(x)= x^2-4x-5$

Step-by-step explanation:

We have the two functions:

$f(x)=x^2-3x-10\text{ and } g(x)=x-5$

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

$\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}$

Simplify:

$\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}$

Therefore:

$(f-g)(x)= x^2-4x-5$

Nookie1986 [14]2 years ago

7 0

Answer:

x^2 -3x+5 = 0

Step-by-step explanation:

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givi [52]

2(3t - 1) - 5(t - 1)
2(3t) - 2(1) - 5(t) + 5(1)
6t - 2 - 5t + 5
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3 years ago

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.

Alborosie

Topic:

Multiplying Polynomials

Answer:

Polynomial 1:

Simplified Form: 6x^2 - x - 1

Name by Number of Terms: trinomial

Polynomial 2:

Name by Degree: linear

Name by Number of Terms: binomial

Polynomial 3:

Simplified Form: 2

Name by Degree: constant

Step-by-step explanation:

Polynomial 1:

$(x-1/2)(6x+2)$

$6x^2 - 3x + 2x - 1$

$6x^2 - x - 1$

It has 3 terms, so it's a trinomial.

Polynomial 2:

There is one term with x and x is raised to the first degree, so it's linear.

There are 2 terms, so it's a binomial.

Polynomial 3:

$4(5x^2-9x+7)+2(-10x^2+18x-13)$

$20x^2 - 36x + 28 -20x^2 + 36x - 26$

$28 - 26$

$2$

Since there are no variables and the answer is just 2, it's a constant.

Note: I took a test on this and it seemed to be all correct

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2 years ago

What is the equation of this graph?

Usimov [2.4K]

Answer:

The equation would be Y= -7/2x + 7

Step-by-step explanation:

With the points given (0,7) and (2,0) we find our slope which is: -7/2. We know that our change in the y values is -7 and the change in our x values is +2. Y IS ALWAYS OVER X SO WE GET -7/2.

To find our y intercept you just look at the graph of where there's a point on the y line. For example (0,7) the 7 would be our y intercept.

So we get Y= -7/2x +7

The slope is ALWAYS put next to the variable x.

Hope this helps! :)

(Side Note: You look at the graph from left to right, so our first point would be (0,7)!)

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3 years ago

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Novay_Z [31]

Answer:

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The linear equation that models this is:

12 + x = 0.80(x+20)

Aditi would have to win 20 more games to have an 80% winning record.

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elena-s [515]

Answer:

Step-by-step explanation:

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2 years ago

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