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3 years ago

Use benchmarks to estimate the sum, difference, or product.

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

My opinion is d/1 okay and i did not understand

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3/x^2-1 - 2(x+3) = 5/x+1

weqwewe [10]

Answer:

X=1.132589

Step-by-step explanation:

If im correct the answer would be x=1.132589

x2−1

−2(x+3)=

x+1

(x+1)(x−1)

+−2x−6=

x+1

Multiply all terms by (x+1)(x-1) and cancel:

3+(−2x−6)(x+1)(x−1)=5(x−1)

−2x3−6x2+2x+9=5x−5(Simplify both sides of the equation)

−2x3−6x2+2x+9−(5x−5)=5x−5−(5x−5)(Subtract 5x-5 from both sides)

−2x3−6x2−3x+14=0

(Use cubic formula)

x=1.132589

And dont forget to check your answer

3 0

2 years ago

Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55 mi/h and the other bus averages

Veronika [31]

Well you can just keep adding 55 =1hr until you get to 400 the same with 45

6 0

2 years ago

Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0

2 years ago

the moon is about 240000 miles from earth what is this distance written as a whole number multiplied by a power of ten

miskamm [114]

24 x 10^4, the 4 comes from with how many jumps it took to land on a whole number from 240,000.

4 0

2 years ago

Which of the following is the cube root of -64/243

lilavasa [31]

Answer:

-(4/7)

if you are above 11th standard

4/7i

4 0

2 years ago