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solong [7]
3 years ago
5

Which number line represents the solution to the inequality x - 3 > 2

Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Answer: x > 5

Step-by-step explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3 to

both sides of the inequality to get x > 5.

When graphing x > 5, we have an open circle on 5 and the

open circle tells us that 5 is not part of our answer.

Then we draw an arrow going to the right to represent

all possible solutions to this inequality, any number greater than 5.

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Solve if x is 3.<br> 91+x raise to power2
Triss [41]
X=3
91 + x^2
91 + 3^2
91 + 9
91 + 9 = 100
6 0
3 years ago
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Which shows the correct simplification of product of powers?
Brums [2.3K]
The power symbols are missing.

I can infere that the product intended to simplify is (7^8) * (7^-4)., because that permits you to use the rule of the product of powers with the same base.

That rule is that the product of two powers with the same base is the base raised to the sum of the powers is:

(A^m) * (A^n) = A^ (m+n)

=>(7^8) * (7^-4) =  7^ [8 + (- 4) ] = 7^ [8 - 4] = 7^4, which is the option 3 if the powers are placed correctly.
5 1
4 years ago
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Which expression is the completely factored form of x6−64y3 ?
ss7ja [257]

We are given this

x^6 -64y^3

write it as the difference of cubes

(x^2)^3 -(4y)^3

use the formula for the difference of cubes

(x^2-4y) ((x^2)^2+x^2*4y+(4y)^2)

Now use the formula for the difference of squares as 4y = (2\sqrt{y} )^2

(x-2\sqrt{y}) (x+2\sqrt{y}) (x^4+4x^2y+16y^2)

7 0
3 years ago
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Determine the unknown angle measures in the figure.<br><br>HELP NOW!!! please
maw [93]

Answer:

m∠1=80°

m∠2=112°

m∠3=131°

m∠4=80°

m∠5=37°

Step-by-step explanation:

First you have to find m∠2

To do that find m∠6 (I created this angle shown in pic below)

Find m∠6 by using the sum of all ∠'s in a Δ theorem

m∠6=180°-(63°+49°)

m∠6=68°

Now you can find m∠2 with the supplementary ∠'s theorem

m∠2=180°-68°

m∠2=112°

Then you find m∠5 using the sum of all ∠'s in a Δ theorem

m∠5=180°-(112°+31°)

m∠5=37°

Now you can find m∠1

m∠1=180°-(63°+37°)

m∠1=180°-100°=80°

m∠4 can easily be found too now:

m∠4=180°-(63°+37°)

m∠4=80°

m∠3=180°-49°

m∠3=131°

8 0
3 years ago
Write the equation of a line that is perpendicular to y=-2/7x + 9 and that passes through the point (-4,6) [FP]​
siniylev [52]

Answer:

$y=(7/2)x+20$

Step-by-step explanation:

SInce the gradient of the first line is $-2/7$ then the gradien of the perpendicular line is $7/2$.

Therefore by the point slope formula the line that we are looking for is

$y-6=(7/2)(x+4)$

$y=(7/2)x + 20$

7 0
3 years ago
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