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3 years ago

It 3x - 2 = 7, then 3x = 9 is an example of the ?

Mathematics

1 answer:

vova2212 [387]3 years ago

3 0

Answer:

Addition Property of Equality

Step-by-step explanation:

So we had:

$3x-2=7$

And then we got:

$3x=9$

We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:

$(3x-2)+2=(7)+2\\3x=9$

Since we added 2 to both sides, this is an example of the addition property of equality.

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Factor completely 3bx2 − 9x3 − b + 3x. (b − 3x)(3x2 − 1) (b + 3x)(3x2 + 1) (b + 3x)(3x2 − 1) Prime

Daniel [21]

$3bx^2-9x^3-b+3x=\boxed{3x^2}\cdot b-\boxed{3x^2}\cdot3x\fbox{-1}\cdot b\fbox{-1}\cdot (-3x)\\\\=\boxed{3x^2}(b-3x)\fbox{-1}(b-3x)=\boxed{(b-3x)(3x^2-1)}\\\\completely:\\use:a^2-b^2=(a-b)(a+b)\to3x^2-1=(x\sqrt3)^2-1^2=(x\sqrt3-1)(x\sqrt3+1)$
$therefore:\\3bx^2-9x^3-b+3x=(b-3x)(3x^2-1)\\=\underline{\underline{(b-3x)(x\sqrt3-1)(x\sqrt3+1)}}$

6 0

4 years ago

Read 2 more answers

A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

Six fifths of what number is 60?

Crazy boy [7]

<h3>Hey Buddy,</h3>

<h3>Answer :-</h3>

Answer is 72 .

<h3><u>Explanation :-</u></h3>

$\frac{6}{5} \: of \: what \: number \: is \: 60 \:$

You probably , Know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well .

• Any number can be converted to fraction if you use 1 as the denominator:

$\frac{60}{1}$

• So now that we've converted 60 into a fraction, to work out the answer, we put the fraction 6/5 side by side with our new fraction, 60/1 so that we can multiply those two fractions.

• convert the whole number to a fraction and then multiply the numerators and denominators.

$\frac{6 \times 60}{5 \times 1} = \frac{360}{5}$

• Our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

• You can use our handy GCF calculator to work this out yourself if you want to. We already did that , And the GCF of 360 and 5 is 5.

• We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.

$\frac{360}{5} = 72$

$\frac{5}{5} = 1$

• When we put that together, we can see that our complete answer is :-

$\frac{72}{1}$

<h3> Hence ,the complete and simplified answer to the question what is 6/5 of 60 is :- 72 .</h3>

<h3>Hope this helps you...!</h3>

<h3>#Carry on learning#</h3>

<h3>I hope you can understand !! </h3>

7 0

2 years ago

Marcus bought he used 50% on tickets on rides and 1/4 of the tickets on video games and the rest of the tickets in the batting c

GalinKa [24]

Answer:

Therefore Marcus is incorrect.

Step-by-step explanation:

Total ticket that Marcus bought= 100%.

Marcus used 50% of ticket on rides.

and he used $\frac{1}{4}$ of the tickets on the video games.

The percentage form of any number x is

$=100\times x \%$

The percentage form of $\frac{1}{4}$ is

$=\frac{1\times 100}{4} \%$

=25%

Therefore rest tickets are

=Total ticket-( ticket used in rides + ticket used in video games)

=100% - (50%+25%)

=100% - 75%

=25%

Therefore he used 25% of tickets in batting cage.

But he said that Marcus said that he used 24% of ticket in batting cage.

Therefore Marcus is incorrect.

8 0

3 years ago

At the craft store, Tara bought 12 yards of fabric to make tote bags. Each bag requires 1.25 yards of fabric. If Tara makes 5 to

matrenka [14]

Answer:

5.75 yds left

Step-by-step explanation:

1.25 yds per bag*5 bags =6.25 yds used

She had 12 yds

12-6.25 =5.75

She has 5.75 yds left

5 0

2 years ago