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2 years ago

Consider the following precise wise-defined function

Mathematics

1 answer:

vredina [299]2 years ago

8 0

Answer:

Step-by-step explanation:

The x-value -4 is less than 3, so use the first formula for f: x^2 - 5.

Then f(-4) = (-4)^2 - 5 = 11

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-6.2 - 12.6x = 5.8 - 7.8x

Sav [38]

Answer:

x = -2.5

Step-by-step explanation:

Step 1: Write equation

-6.2 - 12.6x = 5.8 - 7.8x

Step 2: Solve for x

Add 12.6x on both sides: -6.2 = 5.8 + 4.8x

Subtract 5.8 on both sides: -12 = 4.8x

Divide both sides by 4.8: x = -2.5

Step 3: Check

Plug in x to verify if it's a solution.

-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)

-6.2 + 31.5 = 5.8 + 19.5

25.3 = 25.3

7 0

2 years ago

What is the average rate of change of f over the interval [-1, 4] Give an exact number.

Sonbull [250]

Answer:

1.4

Step-by-step explanation:

The average rate of change is the "rise" divided by the "run".

rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)

rise/run = 7/5 = 1.4

The average rate of change on the interval [-1. 4] is 1.4.

3 0

2 years ago

Find the measure of angle b 59=b

IRISSAK [1]

Answer:

Step-by-step explanation:

5 0

2 years ago

A slow growing tree grows 3/4 foot each year . About how much will the slow tree grow in 8 1/2

trapecia [35]

Answer:

6 1.5/4

Step-by-step explanation:

5 0

3 years ago

I ready scientific notation help

Airida [17]

The required value is $2\times10^9$

Step-by-step explanation:

Weight of ants = $4\times10^{-3}$

Weight of elephant= $8\times10^6$

We need to find, the total weight of about how many ants equals to the weight of an oversized elephant.

The equation given is:

$4\times10^{-3} \times a = 8\times10^6$

We need to find a:

Solving:

$4\times10^{-3} \times a = 8\times10^6\\a=\frac{8\times10^6}{4\times10^{-3}}\\if \,\,10^a/10^-b \,\,then\,\, 10^{a+b}\\a=2\times10^{6+3} \\a=2\times10^9$

So, the required value is $2\times10^9$

Keywords: Scientific Notation

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4 0

2 years ago