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2 years ago

If 343* = 494-x, what is the value of x? 5/8 8/5 2 8

Mathematics

1 answer:

rosijanka [135]2 years ago

4 0

Answer: $\frac{8}{5}$

Step-by-step explanation:

343 is equal to 7 to the power of 3.

49 is equal to 7 to the power of 2.

You can then make the equation:

$(7^{3})^x = (7^2)^{4-x}$

The powers law means if something is to the power of something, it is multiplied.

So, we can remove the 7 and make the equation:

3x = 2(4-x)

3x = 8 - 2x

5x = 8

x = $\frac{8}{5}$

You can verify this by plugging it in,

$343^{8/5} = 11388.6066$

$49^{4-(8/5)} = 11388.6066$

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PLEASE HELP ME WITH THIS QUESTION AND ILL BRAINLIEST YOU

neonofarm [45]

Answer:

Step-by-step explanation:

Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side

a doesn't work because 8+12=20 and 20 is not greater than 20

b doesn't work because 4+5=9 and 9<10

d doesn't work because 6+6=12 and 12 is not greater than 12

c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.

For example, for c,

6+8=14, and 14>10

8+10=18, and 18>6

10+6=16, and 16>8

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3 years ago

Read 2 more answers

rusak2 [61]

Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways: mathematically and graphically.

<u>Graphing</u>

Plot both lines and find where they intersect. See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

<u>Mathematical</u>

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y = 18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

7 0

2 years ago

What is 20% of 5 Please Help

Softa [21]

Hello there!

Start by asking yourself:"How to find the percentage of a number?"

We need to use the equation y = P% * x

In this case, the y is 20%

Y = P% * X

Y = 20% * X

Now we need to convert the percentage to decimal

P = 20%/100

P = 0.2

Then go back to the equation

Y= 0.2 * 5

Y = 1

The answer is 1

I hope the steps are easy to understand and hopefully the answer helps!

As always, I'm glad to help you today!

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2 years ago

Which Two Numbers Add Up To Negative 26 And Multiply To 11?

Fynjy0 [20]

Xy=11
x+y=-26

x+y=-26
minus x both sides
y=-26-x

sub for y
x(-26-x)=11
-26x-x^2=11
add 26x+x^2 both sides
x^2+26x+11=0

ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

a=1
b=26
c=11

x= $\frac{-26+/-\sqrt{26^{2}-4(1)(11)} }{2(1)}$
x= $\frac{-26+/-\sqrt{676-44} }{2}$
x= $\frac{-26+/-\sqrt{632} }{2}$
x= $\frac{-26+/-2\sqrt{158} }{2}$
x= $-13+/-\sqrt{158}$

x= $-13+\sqrt{158}$ or $-13-\sqrt{158}$

aprox

x=-0.420195 or -25.5698

those are the numbers

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3 years ago