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3 years ago

Consider functions f, g, and h below.

Mathematics

2 answers:

shutvik [7]3 years ago

8 0

We evaluate f (x) between [0, 2]
We have then:
f (x) = x2 + 2x +3
f (0) = (0) 2 + 2 (0) +3 = 3
f (1) = (1) 2 + 2 (1) +3 = 6
f (2) = (2) 2 + 2 (2) +3 = 11
We observe that the function g between [0, 2] is between 4 and 7
We observe that the function h is a linear equation whose rate of change is constant and equal to three.
Answer:
from least to greatest, by the rate of change of functions over the interval [0, 2] we have:
g, h, f

dsp733 years ago

4 0

Answer: g,h,f

Step-by-step explanation:

For Plato

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Select all the statements that are true.

alexgriva [62]

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

Verify each option

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

$8x(5x-6)$

Applying distributive property

$8x(5x)-8x(6)\\40x^2-48x$

Compare with the given value

$40x^2-48x=40x^2-48x$

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

$-4x(2x^{2}+1)$

Applying distributive property

$-4x(2x^{2})-4x(1)\\-8x^3-4x$

Compare with the given value

$-8x^3-4x \neq -8x^3-5x$

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

$(x-3)(5x-6)$

Applying distributive property

$x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18$

Compare with the given value

$5x^2-21x+18=5x^2-21x+18$

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

$(2x+3)(x^2+3x-5)$

Applying distributive property

$(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15$

Compare with the given value

$2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25$

therefore

The statement is not true

8 0

3 years ago

What is the value of x? (x + 40) (3x) O 20 R O O 35 O O ASAP

Natasha2012 [34]

Angles TRS and VRW are vertical angles, so we can set them equal to each other to get x:

x+40=3x

40=2x

20=x

So the value of x is 20

3 0

3 years ago

Point P on the number line shows Lara's score after the first round of a quiz: A number line is shown from negative 8 to 0 to po

Luda [366]

Answer:

The correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3

Step-by-step explanation:

Consider the provided information.

Point P on the number line shows Lara's score after the first round of a quiz:

Point P is shown on 3.

That means after the first round her total was 3.

In round two, she lost 4 points.

Therefore, she score −4 points in 2nd round

To find the total points at the end of round 2, we need to add -4 to 3.

3+(−4)=−1

Here −1 is 4 units to the left of 3.

Hence, the correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3

3 0

3 years ago

Read 2 more answers

Round 0.84875 to the nearest cent. Please

Neko [114]

Answer:

.85

Step-by-step explanation:

Start at the end.

The 5 makes the 7 an 8, which makes the 8 an 9, which makes the 4 a 5.

6 0

3 years ago

Find the approximate area of a triangle that has vertices at A(-4,2),B(6,4)C(3,-1)

MrMuchimi

$area \: of \: triangle \: = \frac{1}{2} |( - 16) - (22)|$
$= \frac{1}{2} | - 44|$
$= | - 22|$
$area \: of \: triangle \: = 22$

6 0

3 years ago