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3 years ago

Please help.

Mathematics

2 answers:

AleksAgata [21]3 years ago

5 0

$(4x^2+8x-2)-(2x^2-4x+3)\\\\=4x^2+8x-2-2x^2+4x-3\\\\=(4x^2-2x^2)+(8x+4x)+(-2-3)\\\\=\boxed{2x^2+12x-5}$

Angelina_Jolie [31]3 years ago

5 0

Answer:

$2x^2+12x-5$

Step-by-step explanation:

The given equation is:

$(4x^2+8x-2)-(2x^2-4x+3)$

Upon solving the above equation, we get

$4x^2+8x-2-2x^2+4x-3)$

Now, rewriting the above expression by combining the like terms, we get

$4x^2-2x^2+8x+4x-2-3$

Now, solving the like terms together, we get

$2x^2+12x-5$

which is the required standard form of the given expression.

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alec is climbing a 14 foot ladder where the rungs are 3/4 of a foot apart. there is one foot of space on each end of the ladder

Aleks [24]

Answer:

Alec is climbing 17 rungs on the ladder of 14 feet ( including first and last rung ) .

Step-by-step explanation:

Given:

Length of the ladder = 14 foot

Distance between Rungs in ladder = $\frac{3}{4}$

There is one foot of space on each end of the ladder before the first and last rung .

To Find:

Number of rungs are on the ladder =?

Solution:

Let us assume there are 3 rungs. Between 3 rungs there will be two spaces. between four rungs there will be 3 spaces , so between n + 1 rungs there will be n spaces.

Given that length of the ladder = 14 feet

There is one foot of space on each end before the first and last rung.

So length of the ladder between first and last rung = 14 – 2 ( 1 foot of each side) = 12 feet

As distance between each rung = $\frac{3}{4}$

Number of $\frac{3}{4}$ spaces in ladder of 12 feet = $\frac{( 12)}{\frac{3}{4}}$

Number of $\frac{3}{4}$ spaces in ladder of 12 feet= $\frac{(12\times4)}{3}$

Number of $\frac{3}{4}$ spaces in ladder of 12 feet= $\frac{(48)}{3}$

Number of $\frac{3}{4}$ spaces in ladder of 12 feet =16

And as for n spaces there will be n + 1 rungs, so for 16 spaces there will be 16 + 1 = 17 rungs.

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3 years ago

Which of the following increases at the fastest rate for larger values of x?

Pachacha [2.7K]

Answer:

I believe it might be B

if I'm wrong I apologise.

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3 years ago

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A sample of weights of defensive tackles on Big 10 football teams are: Johnson, 202 pounds; Patrick, 215 pounds; Junior, 207 pou

ExtremeBDS [4]

Answer:

the sample standard deviation is 4.926 pounds

Step-by-step explanation:

the sample standard deviation s is defined as

s =√[ 1/(n-1) ∑ ( x- m)²] for x=1 to x=n

where

n= sample size = 10

x= weights of defensive tackles

m= sample mean

m= 1/n ∑ x* for x=1 to x=n

then

m= 1/10 (202 + 215... +208) = 209.66 pounds

thus

s =√[ 1/(10-1) ∑ ( x- m)²] = √[ 1/(10-1) [ ( 202 - 209.66 )² + ( 215 - 209.66 )² + ( 28 - 209.66 )² ] ] = 4.926 pounds

then the sample standard deviation is 4.926 pounds

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3 years ago

What is 85% of 891? (please keep answer as decimal)

Vladimir79 [104]

Answer:

757.35

Step-by-step explanation:

1. We assume, that the number 891 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 891 is 100%, so we can write it down as 891=100%.

4. We know, that x is 85% of the output value, so we can write it down as x=85%.

5. Now we have two simple equations:

1) 891=100%

2) x=85%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

891/x=100%/85%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 85% of 891

891/x=100/85

(891/x)*x=(100/85)*x - we multiply both sides of the equation by x

891=1.1764705882353*x - we divide both sides of the equation by (1.1764705882353) to get x

891/1.1764705882353=x

757.35=x

x=757.35

now we have:

85% of 891=757.35

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MrRa [10]

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