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2 years ago

If f(x)=3x^2-2 and g(x)=4x+2, what is the value of (f+g)(2)

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

5 0

$(f+g)(x)=3x^2-2+4x+2=3x^2+4x\\\\(f+g)(2)=3\cdot2^2+4\cdot2=12+8=20$

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Which ordered pairs are solutions to the inequality y - 3x < -8?

7nadin3 [17]

Answer:

Option B,C and E are solution to given inequality $y - 3x < -8$

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality $y - 3x < -8$

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

$-5-3(1)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

$-2-3(-3) < -8\\-2-9$

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

$-9-3(0)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

$-1-3(2)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)

$4-3(5)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality $y - 3x < -8$

6 0

2 years ago

Which linear function has a negative slope, f(x) or g(x)?

Anit [1.1K]

Answer:

f(x) is negative and g(x) is positive

Step-by-step explanation:

f(x) = 4-x

Rewriting

f(x) = -x+4

We recognize this as

y= mx+b or the representation of a line with slope -1 and y intercept 4

f(x) is linear

g(x) as we increase x by 1 we increase g(x) by 2

The slope is 2, and the y intercept is 1

y = 2x+1

Lets check a point

(2,5)

5 = 2(2)+1

5=5 so we are correct

f(x) is negative and g(x) is positive

8 0

3 years ago

Read 2 more answers

Jose and Franco were playing a video game if Jose score 782,076 points and Franco scored 811,968 point what is the difference be

posledela

Answer:

29,892

Step-by-step explanation:

811,968-782,076

7 0

3 years ago

How do you write 2.3 x 103 in standard form?

Misha Larkins [42]

Answer:

2300

Step-by-step explanation:

$2.3 \times {10}^{3} \\ \\ = 2.3 \times 1000 \\ \\ = 2300$

7 0

2 years ago

The function f(x)=g(x), where f(x)=2x-5 and g(x)=x^2-6. The table below shows the process of solving using successive approximat

valkas [14]

Answer:

The positive solution is 2.4.

Step-by-step explanation:

The given functions are

$f(x)=2x-5$

$g(x)=x^2-6$

It is given that

$f(x)=g(x)$

$2x-5=x^2-6$

$0=x^2-6-2x+5$

$0=x^2-2x-1$

The quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{2\pm \sqrt{(2)^2-4(1)(-1)}}{2(1)}$

$x=\frac{2\pm \sqrt{8}}{2}$

$x=\frac{2\pm 2\sqrt{2}}{2}$

$x=\frac{2(1\pm \sqrt{2})}{2}$

$x=1\pm \sqrt{2}$

$x=2.4,-0.4$

Therefore the positive solution is 2.4.

6 0

3 years ago

Read 2 more answers