All categories

3 years ago

Solve and explain 5s^2- 101 = 144

Mathematics

2 answers:

Reptile [31]3 years ago

3 0

Answer:

S = 7

Step-by-step explanation:

Ok, so we need to find out what s is.

So let's start off with the equation:

$5s^{2} - 101 = 144\\$

So what we have to do now is add 101 on both sides:

$5s^{2} = 245$

Now we just have to isolate s and divide by 5:

$s^{2} = 49\\$

Now we just have to find the square root of 49.

This is 7.

Hope this helps :)

bezimeni [28]3 years ago

3 0

Answer:

s = ±7

Step-by-step explanation:

5s^2- 101 = 144

Add 101 to each side to get the constants on the same side

5s^2- 101+101 = 144+101

5s^2 = 245

Divide each side by 5 to isolate the variable

5s^2 /5 = 245/5

s^2 =49

Take the square root of each side

sqrt(s^2) = ±sqrt(49)

s = ±7

You might be interested in

Can someone please help me?

omeli [17]

Answer:

The answer would be Part F

8 0

2 years ago

Use appropriate tools . How can you use a graph to determine that a relationship is not a function ?

sergey [27]

Answer:

by showing dots and correlations in a graph which will have an estimated slope, while not a definite one

Step-by-step explanation:

8 0

3 years ago

for a field trip, a bus company charges a flat fee plus an additional fee per student. For 40 students, the total cost is $250.0

swat32

Okay so 6.25 a student then it goes to 4.50 for 15 more students at 70 students its 358.75 now it drops another 1.75 so it would be 368.75 for 80 students so the equation is 4.48 x 80 = 368.75. enjoy :D

3 0

2 years ago

What is the solution of

kobusy [5.1K]

Answer:

Third option: x=0 and x=16

Step-by-step explanation:

$\sqrt{2x+4}-\sqrt{x}=2$

Isolating √(2x+4): Addind √x both sides of the equation:

$\sqrt{2x+4}-\sqrt{x}+\sqrt{x}=2+\sqrt{x}\\ \sqrt{2x+4}=2+\sqrt{x}$

Squaring both sides of the equation:

$(\sqrt{2x+4})^{2}=(2+\sqrt{x})^{2}$

Simplifying on the left side, and applying on the right side the formula:

$(a+b)^{2}=a^{2}+2ab+b^{2}; a=2, b=\sqrt{x}$

$2x+4=(2)^{2}+2(2)(\sqrt{x})+(\sqrt{x})^{2}\\ 2x+4=4+4\sqrt{x}+x$

Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

$2x+4-4-x=4+4\sqrt{x}+x-4-x\\ x=4\sqrt{x}$

Squaring both sides of the equation:

$(x)^{2}=(4\sqrt{x})^{2}\\ x^{2}=(4)^{2}(\sqrt{x})^{2}\\ x^{2}=16 x$

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

$x^{2}-16x=16x-16x\\ x^{2}-16x=0$

Factoring: Common factor x:

x (x-16)=0

Two solutions:

1) x=0

2) x-16=0

Solving for x: Adding 16 both sides of the equation:

x-16+16=0+16

x=16

Let's prove the solutions in the orignal equation:

1) x=0:

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(0)+4}-\sqrt{0}=2\\ \sqrt{0+4}-0=2\\ \sqrt{4}=2\\ 2=2$

x=0 is a solution

2) x=16

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(16)+4}-\sqrt{16}=2\\ \sqrt{32+4}-4=2\\ \sqrt{36}-4=2\\ 6-4=2\\ 2=2$

x=16 is a solution

Then the solutions are x=0 and x=16

5 0

3 years ago

Rafael wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is 13 feet and its w

kogti [31]

Answer:

$819

Step-by-step explanation:

First we find the area of the wall so we multiply 13ft x 9ft.

13ft x 9ft = 117ft

We know each square foot is equal to $7. So now we multiply 117 x 7 to get the total cost.

117 x 7 = $819

4 0

2 years ago

Read 2 more answers

Solve and explain 5s^2- 101 = 144​

Solve and explain 5s^2- 101 = 144