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GuDViN [60]
3 years ago
12

Use dimensional analysis to make each conversion.

Mathematics
1 answer:
algol133 years ago
3 0
You subtract them (X,Y)
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Average rate of change help!!
frez [133]

Given that the function is f(x)=x^{3}-6 x^{2}+4 x+7

We need to determine the average rate of change over the interval 0 \leq x \leq 5

<u>Value of f(x) when x = 0:</u>

Substituting x = 0 in the function f(x)=x^{3}-6 x^{2}+4 x+7, we have;

f(0)=(0)^{3}-6 (0)^{2}+4 (0)+7

f(0)=0-0+0+7

f(0)=7

Thus, the value of f(0) is 7.

<u>Value of f(x) when x = 5:</u>

Substituting x = 5 in the function f(x)=x^{3}-6 x^{2}+4 x+7, we have;

f(5)=(5)^{3}-6 (5)^{2}+4 (5)+7

f(5)=125-150+20+7

f(5)=2

Thus, the value of f(5) is 2.

<u>Average rate of change:</u>

The average rate of change can be determined using the formula,

Rate \ of \ change=\frac{f(b)-f(a)}{b-a}

where a=0 and b=5

Thus, we have;

Rate \ of \ change=\frac{f(5)-f(0)}{5-0}

Rate \ of \ change=\frac{2-7}{5-0}

Rate \ of \ change=\frac{-5}{5}

Rate \ of \ change=-1

Thus, the average rate of change over the interval 0 \leq x \leq 5 is -1.

3 0
2 years ago
F(x)=x^2. What is g(x)?
Nina [5.8K]

Answer:

C

Step-by-step explanation:

I'm super sorry if I get this wrong you don't have to choose C I feel like I'm wrong but have a nice day

4 0
2 years ago
Find two consecutive integers whose sum is 67. Which of the following equations could be used to solve the problem?
Hunter-Best [27]
The desired answer is probably that
  2x + 1 = 67
is the equation that can be used to solve the problem. In this case, x represents the smallest integer.

_____
I like to work problems in consecutive integers by considering their average. Here, it is 67/2 = 33.5. The two consecutive integers whose average is 33.5 are 33 and 34, the solution to the problem. For this, the first equation applies, where x is the value halfway between the two integers. (This answer (2x=67) would likely get marked wrong by your computer grading system.)
3 0
2 years ago
Please help due ASAP <br> Please show workings!!
Kazeer [188]

Answer:

FC = 27, QC = 18

Step-by-step explanation:

The centroid Q is \frac{1}{3} the way along CF , therefore, QF is half as long as CQ

Given FQ = 9, then

QC = 2 × 9 = 18

FC = FQ + QC = 9 + 18 = 27

8 0
2 years ago
6. Multiply: i) 3x (5x+8y)
Stella [2.4K]

Answer:

Step-by-step explanation:

3x(5x+8y)=15x^2+24xy

4x(3x^2+5x-7)=12x^3+20x^2-28x

(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2

(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14

4 0
2 years ago
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