The of an equation is formed by all the points in e plane that makes it true

Answer:

solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]5x^2 - 16 = 29[/tex]

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

[tex]5x^2 - 16 = 29[/tex]

Add 16 on both sides

[tex]5x^2 - 16+16 = 29+16\\5x^2=45[/tex]

Now, divide both sides by 5

[tex]\frac{5x^2}{5}=\frac{45}{5} \\x^2=9[/tex]

Now, we know that [tex]\sqrt{x^2}=\pm x[/tex]

Taking square root on both sides.

[tex]\sqrt{x^2}=\sqrt{9}\\x=\pm3[/tex]

So, we get values of x:

[tex]x=3, x=-3[/tex]

Therefore, solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Answer:

Step-by-step explanation:

Remark

The point about the question is that the two sides are marked as equal.

Equation

3x + 5 = 5x + 1                  Subtract 3x from both sides

Solution

3x - 3x + 5 = 5x - 3x + 1   Combine like terms

5 = 2x + 1                          Subtract 1 from each side

5-1 = 2x +1 - 1                    Combine

4 = 2x                               Divide by 2

4/2 = 2x/2

x = 2    

Answer:

the answer is -1/3

Step-by-step explanation:

Answer213$

Step-by-step explanation:

Answer:

14,000+2.1%(0.021)x

Step-by-step explanation:

x is how many years

Answer:

she made $42.40

the store made $487.60

Step-by-step explanation:

530 x .08

Answer:

872 is the final answer

Step-by-step explanation:

Answer: The answer is 872

Step-by-step explanation:

Answer:

The washing machine cost $600 before tax

Step-by-step explanation:

Percentages

The washing machine cost $651 including a tax of 8.5%.

If x was the cost of the washing machine before tax, then the tax was:

x*8.5/100 = 0.085x

It was added to the original price:

x + 0.085x = 1.085x

That is the final price, thus

1.085x=$651

Solving:

x = $651/1.085

x = $600

The washing machine cost $600 before tax

Answer:

It has to be the third option.

Happy to help :)

Answer:

i think its $1.07 per pound.

Step-by-step explanation:

Answer:

B) 1/3

Step-by-step explanation:

Add up all the marbles

5 + 6 + 3 + 4 = 18 marbles

Make a fraction of the red marbles out of all the marbles

6/18

Simplify the fraction

1/3

Answer:

b

Step-by-step explanation:

chances of drawing a red is 6/18

6/18=1/3, so its B

Answer:

SSS or SAS

Step-by-step explanation:

Given :

A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.

By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.

To Find :

How fast is the top of the ladder sliding down the wall.

Solution :

By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.

Now, [tex]x^2 + y^2 = 13^2[/tex]

Differentiating both sides, we get :

[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]

Answer:

They can make 2

Step-by-step explanation:

The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2

Answer:

Use the SOH CAH TOA

Step-by-step explanation:

Angle = 60°

x = opposite o

y = adjacent a

10√ 3 = hypotenuse h

To find x we use SOH {sineø = o/h}

Sin 60° = x/10√ 3

x=10√ 3 * sin 60

X=15

You can use Pythagoras theorem or CAH{cosø = a/h}

Cos 60°= y/10√ 3

y=Cos 60° * 10√ 3

y=5√ 3

Answer:

4x and (1-y)

Step-by-step explanation:

4x(1-y)

this is my answer

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

The factors of the expression are 18x and 4-y

Learn more on factors here: https://brainly.com/question/24539261

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

320.25 centimeters

Step-by-step explanation:

you multiply 10.5 * 30.5

Answer:

u just have to divide

put the numbers in a calculator and the answer is 6.70238095238

Step-by-step explanation:

hope this helps

Answer:

you can't divide it

if u do then its

6.70238095238095238095.............................

6 r 59

Step-by-step explanation:

ok ok um so

multiples of 84:

84

168

252

336

420

504

588

we take 504

563-504 = 59

504/84 = 6

so 6 r 59

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-5 -15 = -20

-20+4 = -16

-16+15 = -1

Therefore, -5-15+4+15 = -1

Answer:

53.4

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Answer:

I got X = -6 hope I'm right

Answer:

b i think

Step-by-step explanation:

Answer:

the slope is 1

Step-by-step explanation:

Answer:

Let's solve for x.

−5x + 4y = 3

Step 1: Add -4y to both sides.

−5x + 4y+ −4y =3+ −4y

−5x = −4y +3

Step 2: Divide both sides by -5.

-5x divided by 5 = -4y+3 divided by -5

x=4/5y + −3/5

Step-by-step explanation:

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest