Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles
of grape juice and 3 bottles of water for a total of $9.00. How much does the grape juice cost and the water?

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

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

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

Learn more here: https://brainly.com/question/18088242

Step-by-step explanation: The x-intercept is

the point where a line crosses the x-axis.

So the x-intercept for the line on the graph is (7, 0).

All x-intercepts have a y-coordinate of zero.

The y-intercept is a point where a line crosses the y-axis.

So the y-intercept for the line on the graph is (0, 5).

All y-intercepts have a x-coordinate of zero.

Answer:

No

Step-by-step explanation:

-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.

Answer:

no

Step-by-step explanation:

I took a test and this question was on it and the answer was no.

m(slope)= change in y/change in x

m=-17-(-5)/3-1

m=17+5/2

m=22/2

m=11

Answer:

She will dive 30 meters below sea level

Step-by-step explanation:

0 is the sea level, so that means 0-30 meaning she will go 30 meters below sea level.

Answer:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

The last option matches the correct solution

Step-by-step explanation:

Equation Solving

We have the following equation:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

And it's required to solve it for r.

Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.

It can be done by conveniently operating on both sides as follows:

Eliminate the denominator by multiplying by 3:

[tex]\displaystyle 3V=4\pi r^3[/tex]

Move [tex]4\pi[/tex] to the other side by dividing by [tex]4\pi[/tex]:

[tex]\displaystyle \frac{3V}{4\pi}= r^3[/tex]

Swapping sides to have r at the left side:

[tex]\displaystyle r^3=\frac{3V}{4\pi}[/tex]

Finally, take the cubic root and leave r alone:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

The last option matches the correct solution

Answer:

Step-by-step explanation:

Answer:Problems based on special right triangles were given the code G-SRT.5 or ... The least possible sum of digits on a 12-hour digital clock is 1. ... The largest sphere that will fit inside this cube has a diameter equal to the length of the ... Using the Pythagorean Theorem, we can find the length d of the hypotenuse, which is the ...

Answer:

Step-by-step explanation:

45.85*7%= 3.21 tax

45.85+3.21=49.06 total

Answer:

you have to divide the gallons with the money per gallon

Step-by-step explanation:

Answer:

$842.40

Step-by-step explanation:

2.70 x 312

Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

Answer:

2.        3x + 4

Step-by-step explanation:

What we know:

w=x

Perimeter (p) = 8x+8

Formula for perimeter  p =2(L+W)

8x+8 =  2(L+W)

L+W is half, so    

 L+W = 4x+4

Substract W on both sides;

L = 4x+4 -W    

We know that  W = x

So

L= 4x+4-x

4x-x= 3x

L= 3x+4

Answer:

0.00004

Step-by-step explanation:

You round down at the 4.

Answer:

2,000,000  or 2x10^6

Step-by-step explanation:  Multiply the total number of sheets in a ream times the total number of reams in a case times the number of cases.

Answer: 1 and 4

Step-by-step explanation: just did it

Answer:

1 and 4

Step-by-step explanation:

because yes

totally doesn't say it

Answer:

Service B

Step-by-step explanation:

Beacuse it is taking less money

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.

Answer:

The answer is A because 144 - 121 = 23 so

Step-by-step explanation:

because 144 - 121 = 23

Answer:

2

Step-by-step explanation:

Answer:

After 5 additional days it will be equal

Step-by-step explanation:

1st special: 6x + 50

2nd special: 12x + 20

6x + 50 = 12x + 20

Subtract 20 from both sides;

6x + 30 = 12x

Subtract 6x from both sides;

30 = 6x

Divide both sides by 6;

x = 5

Answer:

don't take my word for it

Step-by-step explanation:

1. J

2. E; exponent tells us how many times a number is used as a factor

3. L; if the GCF of a fraction is 1, then we cannot simplify it further.

4. C; Binary, means something w/ 2 components (0s and 1s in this case).

5. same as 12, crossed out

6. G

7. I

8. K

9. M

10. D; Divisible, by definition (no remainder/trailing digits e.g.: 1.3495).

11. A; Algebraic factor, it has common symbols used in algebra (e.g.: x)

12. crossed out

13. E; exponent, when we have [tex]3^x[/tex], x is the number telling us this.

Answer:

Thousands

Step-by-step explanation:

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

Step-by-step explanation:

3x - 8 + 2x + 9 = 451

5x = 450

x = 90

last weekend: 262

this weekend: 189

Topic: algebraic equations

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

my last 2 braincells trying to understand this question

Step-by-step explanation:

Answer:

k=2

Step-by-step explanation:

(3/5k)-5=7/10k

we multiple both sides by 10k to get only one k

10k(3/5k)-5 = 7

(30k/5k)-5 =7 now we add 5 to other side and simplify our k fraction

6k= 12 divide by 6

k=2

Answer:

C

Step-by-step explanation:

EDGE2021

Answer:

The correct option is;

The price of a pizza and the number of toppings added

Step-by-step explanation:

A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;

The price of a pizza  depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased

The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.

Answer:

1.three sides polygon have

2. i think 11- gons has regular properties so the equation for this would be 1620 divided by 11 and it equals 147.27 so the meauser of the interirinangle of a 11-gon is about 147.27 degrees.

3.8 sides

Step-by-step explanation: if the sum of the angles is 10,800 degrees and each angle is 1,350 degrees, the deck will have the number of sides of the sum of the angle measurements divided by each angls measurmeasur.ments

10,800/1,350=1,080/135= 8 sides

Pease mark me brainlist.