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solniwko [45]
2 years ago
14

Find the solutions of the quadratic equation –9x2 + 49 = 0.

Mathematics
1 answer:
Luba_88 [7]2 years ago
3 0

Answer:

x = 7/3

Step-by-step explanation:

<u>Given equation:</u>

  • –9x² + 49 = 0

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

  • ⇒ –9x² + 49 - 49 = 0 - 49
  • ⇒ –9x² = -49

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

  • ⇒ –9x² = -49
  • ⇒ -9x²/-1 = -49/-1
  • ⇒ 9x² = 49

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

  • ⇒ 9x² = 49
  • ⇒ (3x)² = (7)²

Take square root both sides of the equation:

  • ⇒ √(3x)² = √(7)²
  • ⇒ 3x = 7

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

  • ⇒ 3x/3 = 7/3
  • ⇒ x = 7/3

Therefore, the value of "x" must be 7/3.

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omeli [17]

Answer:

Option B

Step-by-step explanation:

  • (0,2)
  • (6,8)
  • (8,0)

Slope

  • m=8-2/6
  • m=6/6=1

And

  • m=0-8/8-6
  • m=-8/2
  • m=-4

These are acceleration

Y intercept is (0,2) as x coordinate is 0

This is initial velocity 2m/s

The runner stopped at 8s

8 0
2 years ago
I'm confused I put 13-x and it said incorrect?? HELP!
Andreas93 [3]

Answer:

Maybe -12?

Step-by-step explanation:

Because sometimes variables on their own symbolize 1, so we can subtract 13 from 1 to get -12.

5 0
2 years ago
Read 2 more answers
IM GIVING BRAINLIEST!!!PLEASE HELP!!!I JUST KNOW ITS NOT A!!!
zmey [24]

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

4 0
3 years ago
If the car wheel rotates 5 times per second about how many miles does the car travel in one hour??
iVinArrow [24]

Answer:

18000

Step-by-step explanation:

If we want to find how many miles it travels in one hour, we need to find jow many seconds are in one hour because as the problem said, it's wheel rotates 5 times per second.

there are 3600 seconds in an hour, so we multiply 3600 by 5, and we get 18000.

The car travels 18000 miles in one hour.

8 0
3 years ago
Ed Moura has $32000 invested in stocks paying 6% .how much additional money should he invest in certificates of deposit paying 3
inna [77]

Answer:

Ed Moura invest $64000 in certificates of deposit paying 3%

Step-by-step explanation:

Ed Moura has $32000 invested in stocks paying 6%.  

Additional money in certificates of deposit paying 3% =x  

so that the average return on the two investments is 4%.  

32000*6% +3%*x = 4%(32000+x)

32000*0.06 +0.03*x = 0.04(32000+ x)

1920 + 0.03x = 1280 +0 .04x

1920 - 1280 = 0.04x - 0.03x

0.01x = 640

x = 64000

x = $64000

x= $64000 in certificates of deposit paying 3%

Thank you.

4 0
3 years ago
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