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vlabodo [156]
3 years ago
13

Solution set of 6x2=13x+5

Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

x = -1/3         x = 5/2

Step-by-step explanation:

6x^2=13x+5

Subtract 13x from each side

6x^2-13x=13x-13x+5

6x^2-13x=5

Subtract 5 from each side

6x^2-13x-5=5-5

6x^2-13x-5=0

Factor

(3x+1   )(2x  -  5 ) =0

Using the zero product property

3x+1 =0    2x-5 =0

3x=-1          2x =5

x = -1/3         x = 5/2

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Systems of equations.<br><br> Y= -3x+1<br> Y=x-3 How do i start it
Anvisha [2.4K]
You can set both equations together

y = -3x + 1

and y = x - 3

we can replace the y of one equation with the other side 

-3x+1 = x-3

add 3x on both sides

1 = x + 3x -3
add 3 on both sides

1 + 3 = x+ 3x

simplify

4 = 4x

divide by 4 on both sides

x = 1

y = x - 3
y = 1 - 3
y = 2

So the solution is: (1,2)
4 0
3 years ago
Keith drove 436 miles using 16 gallons of gas at this rate how many miles would he drive using 14 gallons of gas
KengaRu [80]

This Question is related to Direct Proportionality

Here : The Number of Miles Driven is Directly Proportional to Number of Gallons of Gas

Number of Miles ∝ Gallons of Gas

Given Keith with 16 Gallons of Gas Drove 436 Miles

⇒ Keith with 1 Gallon of Gas would Drive - \frac{436}{16} Miles

⇒ Keith with 1 Gallon of Gas would Drive : 27.25 Miles

⇒ Keith with 14 Gallons of Gas would Drive : 14 × 27.25 Miles

⇒ Keith with 14 Gallons of Gas would Drive : 381.5 Miles

8 0
3 years ago
(worth 100 points) Miguel is organizing his collection of sports memorabilia into glass display cases. He wants to cover each si
AlladinOne [14]

Answer:

4240 inches²

Step-by-step explanation:

In order to find the amount of film needed, we have to find the surface area of this cuboid.

  • Formula to Find Surface Area of Cuboid: 2(wl+hl+hw), where w = width, l = length, and h = height.

Now, let's solve!

  • 2(36*25+20*25+20*36)  
  • 2(900+500+720)
  • 2(2120)
  • 4240

Therefore, the answer is 4240 inches².

8 0
2 years ago
Read 2 more answers
5+2x=2x+6<br> What's the answer?
Marina86 [1]

<u>Answer:</u>

Below!

<u>Step-by-step explanation:</u>

<u>We can solve this with the help of equations.</u>

  • 5 + 2x = 2x + 6
  • => -2x + 2x = -5 + 6
  • => 0 ≠ 1

<u>Since we are getting 0 ≠ 1 as our result, the problem has </u><u>no solution.</u>

Hoped this helped.

BrainiacUser1357

3 0
2 years ago
Find the tangent of each acute angle.
Grace [21]

Answer:

answer is below

Step-by-step explanation:

tan p = 32/24 = 4/3

tan q= 24/32 = 3/4

4 0
2 years ago
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