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3 years ago

Subtract 5x ^ 2 + 2x - 11 from 3x ^ 2 + 8x - 7 . Express the result as a trinomial.

Mathematics

1 answer:

mixer [17]3 years ago

4 0

Answer:

2x2−6x−4

Step-by-step explanation:

Let's simplify step-by-step.

5x^2+2x−11−(3x^2+8x−7)

Distribute the Negative Sign:

=5x^2+2x−11+−1(3x^2+8x−7)

=5x^2+2x+−11+−1(3x^2)+−1(8x)+(−1)(−7)

=5x^2+2x+−11+−3x^2+−8x+7

Combine Like Terms:

=5x^2+2x+−11+−3x^2+−8x+7

=(5x^2+−3x^2)+(2x+−8x)+(−11+7)

=2x^2+−6x+−4

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Hey guys, I need help with these questions. I need them done by today! Please, help :( There are 4 questions or more I think, I

Orlov [11]

Answer:

Step-by-step explanation:

Domain x^2 - 9 {Solution: - infinity < x < infinity}

Interval notation (- infinity, infinity)

Range of x^2 - 9 (Solution: f(x) is greater than or equal to - 9)

Interval notation (-9, infinity)

Axis interception points of x^2 - 9:

X- intercepts (3, 0) (-3, 0)

Y-intercepts (0, -9)

Vertex of x^2 - 9: Minimum (0, -9)

Solve for f:

f (x) = x^2 - 9

Step 1: Divide both sides by x.

fx / x = x^2 - 9 / x

f = x^2 - 9 / x

Answer:

f = x^2 - 9 / x

8 0

1 year ago

Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10

olga2289 [7]

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>

Reasons:

The data in the table are presented as follows;

$\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]$

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>

Learn more about insurance premiums here:

brainly.com/question/3053945

8 0

2 years ago

Read 2 more answers

3.1 = x / 2 equals what?

neonofarm [45]

Answer: 6.2

Step-by-step explanation: 3.1 = x/2

x/2=3.1

x/2(2)=3.1(2)

x=6.2

3 0

3 years ago

Subtract the given function and indicate the domain of the difference

maxonik [38]

Answer:

The domain is $x\in (-\infty,\infty).$

Step-by-step explanation:

Given functions $f(x)=x^2+3x+1$ and $g(x)=2x^2-4x-1$

Subtract these two functions:

$f(x)-g(x)\\ \\=(x^2+3x+1)-(2x^2-4x-1)\\ \\=x^2+3x+1-2x^2+4x+1\\ \\=(x^2-2x^2)+(3x+4x)+(1+1)\\ \\=-x^2+7x+2$

Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is $x\in (-\infty,\infty).$