How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

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Answer:

a= b+m/2

Step-by-step explanation:

Answer:

(0,0) (1,4) See the explanation below for the graph.

Step-by-step explanation:

f (0) = 4 x 0 = 0

f (1) = 4 x 1  =  4

(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.

Answer:

5.4 feet

Step-by-step explanation:

Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.

At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was  8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.

Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was  8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.

From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].

[tex]d= 10- (d_1+d_2)[/tex]

[tex]=10-(2.2+2.4)[/tex]

=5.4 feet

Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:

[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]

[tex]x_{1} = 10.4\,ft[/tex]

Now we determine the absolute elevation of the deck at 7 P.M.:

[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]

[tex]x_{2} = 7.6\,ft[/tex]

Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:

[tex]x' = 7.6\,ft - 2.2\,ft[/tex]

[tex]x' = 5.4\,ft[/tex]

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

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Answer:

[tex]\boxed {x = 8}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4(2x - 3) = 52[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]2x - 3 = \frac{54}{4}[/tex]

[tex]2x - 3 = 13[/tex]

-Add both sides by [tex]3[/tex]:

[tex]2x - 3 + 3 = 13 + 3[/tex]

[tex]2x = 16[/tex]

-Then, divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{16}{2}[/tex]

[tex]\boxed {x = 8}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]8[/tex].

Answer:

x = 5x > 2

or just 5x > 2 ya its that

Step-by-step explanation:

what's the question ???

Answer: y=2x-3

Step-by-step explanation:

It will cross the y axis at -3 and the x axis at 3/2

Answer:

3900

Step-by-step explanation:

Not really sure how to explain this one.

Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

Thus,

x+6 = -5

x= -5-6= -11

and

y+ -2 = 1

y-2=1

y=1+2 =3

Thus the object point coordinates Q is (-11,3 )

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

Answer:

1296m^2

Step-by-step explanation:

12m = 1cm per square

3 squares • 3 squares = 36 • 36 = 1296

Hope this helps! :)

Answer:

Step-by-step explanation:

PEDMAS

P - Parenthesis

E - Exponents

D - Division

M - Multiplication

A - Addition

So, 2(5-3)^3+6^2  

5 - 3 should be completed first as it is inside parenthesis

2(5-3)^3+6^2 = 2 *2^3 + 6^2

                     = 2 * 8 + 36            {exponents}

                     = 16 + 36              {Multiplication}

                    = 52

Answer:

The number that she will substitute is 7

Step-by-step explanation:

Mathematically, simple interest can be calculated using the formula ;

S.I = PRT/100

where P is the principal which is the amount invested = $12,876

T is the time which is 3 years

and R is the rate which is 7%

Answer:

Answer:

The number that she will substitute is 7

Step-by-step explanation:

i just took he test

Answer:

y=6x-4

Step-by-step explanation:

for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4

Answer:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Step-by-step explanation:

Factor the following:

125 q^6 - r^6 s^3

Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.

125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:

(5 q^2)^3 - (r^2 s)^3

Hint: | Factor the difference of two cubes.

Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):

(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (5 q^2)^2.

Multiply each exponent in 5 q^2 by 2:

(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Evaluate 5^2.

5^2 = 25:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (r^2 s)^2.

Multiply each exponent in r^2 s by 2:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Answer:

the lines are perpendicular

Answer:

Depends if you are averaging C or not.

Step-by-step explanation:

Use the pythagorean theorem to solve this.

c = √a^2 + b^2

A and B should be two of your sides and C should equal your third side. If C is incorrect, it is not a right triangle. I plugged in 7 for A and 8 for B. The answer was about 10.63. If you are supposed to round C then yes, it is a right triangle. If you aren't supposed to round C (probably not) then no, It isn't a right triangle.

Answer:

x = 3

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (3, 5) with x- coordinate 3 , thus

x = 3 ← equation of perpendicular line

Answer:

Proportional graph

Step-by-step explanation:

It is proportional because as the x increases, the y also increases. It maintains the same rate of change.

Answer:

non pro becuase it dont pass the origin

Step-by-step explanation:

Answer: Everyone would get about 7 pizzas

Step-by-step explanation:

I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.

Answer:

c=263

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

Answer:

x = -80

Step-by-step explanation:

[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]

Answer:

x ≥ [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

To solve for x, we simply factorize the equation;

We should find two numbers whose sum = -20 and product is 100

  These two numbers are -10 and -10

So;

    4x² - 10x - 10x + 25 ≥ 0​

   factorize;

    2x(2x - 5) - 5(2x - 5) ≥ 0​

   (2x - 5) (2x - 5) ≥ 0​

    So;

        2x - 5 ≥ 0​

         2x ≥ 5

            x ≥ [tex]\frac{5}{2}[/tex]

Answer:

0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].

Step-by-step explanation:

10/25 =0.4

Hope this helped :D

Answer:

I hope it solve the problem

Answer: 4:1

Step-by-step explanation:

Divide by two to get in simplest form.

80 ÷ 2 = 40

20 ÷ 2 = 10

Make a ration with 40 and 10.

40:10

Make 40:10 simpler by dividing by 10.

40 ÷ 10 = 4

10 ÷ 10 = 1

Make 4 and 1 into a ration.

4:1

Answer:

4 : 1

Step-by-step explanation:

Given the ratio

80 : 20 ← divide both parts by 20

= 4 : 1 ← in simplest form