Solve the notable products (x-12).(x+12)

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

=4

Answer:

It varies directly

k = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Table:

    x      y

   7       11

   8       13

   9       15

   10      17

Problem:, determine if y varies directly as x

Solution:

  The equation to determine if they vary directly is;

         y ∝  x

         y  = kx

From the table, y varies directly as x. As y increases, x also increases.

To find k, use any convenient value of y and x  ;

     y  = 15 and x  = 9;

        15 = k x 9

        k = [tex]\frac{15}{9}[/tex]  = [tex]\frac{5}{3}[/tex]

Answer:

[tex]Amber = 0[/tex]

[tex]Grace = 0.60[/tex]

[tex]Marsha =1.70[/tex]

Step-by-step explanation:

Given

Decimal Grid = Hundredths

[tex]Amber = None[/tex]

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

To solve for each:

We have:

For Amber:

[tex]Amber = 0 * 100[/tex]

[tex]Amber = 0[/tex]

For Grace:

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Grace = \frac{3}{5} * 100[/tex]

[tex]Grace = \frac{300}{5}[/tex]

[tex]Grace = 60[/tex]

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

[tex]Grace = 60 * \frac{1}{100}[/tex]

[tex]Grace =\frac{60}{100}[/tex]

[tex]Grace = 0.60[/tex]

For Marsha:

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

[tex]Marsha = \frac{10 + 7}{10}th[/tex]

[tex]Marsha = \frac{17}{10}th[/tex]

[tex]Marsha = 1.7th[/tex]

Multiply this by 100, to get the number of shaded

[tex]Marsha = 1.7 * 100[/tex]

[tex]Marsha = 170[/tex]

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

[tex]Marsha = \frac{170}{100}[/tex]

[tex]Marsha =1.70[/tex]

Answer:

Resistor A has a resistance closer to 100

Step-by-step explanation:

Here, we want to know which of the two resistors have a resistance closer to 100 ohms

To know the resistance closer to 100, we need to know the absolute value of the resistances

-0.78 has a resistance of 100 - 0.78 = 99.22

The 15 ohms resistor has resistance of 100 + 0.15 = 100.15

Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100

Answer:

300 dollars

Step-by-step explanation:

Multiply 10 feet by 12 feet to get the total number of feet needed

10x12=120 feet

120 times $2.5= $300

The cost to carpet a rectangular floor is $300.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 10 \times 12 \times \$2.50[/tex]

= $300

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Answer:

x=7

Step-by-step explanation:

8x−7=4x+21

Step 1: Subtract 4x from both sides.

8x−7−4x=4x+21−4x

4x−7=21

Step 2: Add 7 to both sides.

4x−7+7=21+7

4x=28

Step 3: Divide both sides by 4.

4x

4

=

28

4

Answer:

c- 90

a and b- 45 each

Step-by-step explanation:

since the sum of all angles on the inside of a triangle is 180, and c is 90 degrees, you can subtradt 90 from 180 and divide that by 2, getting angles 1 and b.

Answer:

f(x) = 2x^2+5x-12

Step-by-step explanation:

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation: (sorry you'll have to graph them on your own)

Number 2:

So if x was this y would be...

x=-3        y=4            (-3,4)

x=0         y=2            (0,2)

x=3         y=0            (3,0)

The solution would be (3,0).                                                                                

Number 3:

So before we begin we'd have to solve for y by subtracting 1 from both sides to get...        [tex]y=3x-1[/tex]

Now we should choose -1, 0, and 1 so now...

x=-1         y=-4           (-3,4)

x=0         y=-1            (0,2)

x=1          y=2            (3,0)

The solution would be (1,2).                                                                                  

Answer:

500,400,300

Step-by-step explanation:

is this correct?

Answer:

Your answer is 5004300

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

Answer: 3pm

Step-by-step explanation:

It will take them 120 minutes to meet back up together

24x5=120

15x8=120

Answer:

The average elevation of his three rest stop is 900 ft

Step-by-step explanation:

The elevation at which the hiker started = 800 feet

The extra height to which he climbed on his first rest stop = 200 feet

The height down which he climbed to his second rest stop = 400 feet

The height to which he then climbed to his third rest stop = 500 ft

Given that the hiker started at 800 ft, we have;

His height at his first rest stop = 800 + 200 = 1,000 ft

His height at his second rest stop = 1000 - 400 = 600 ft

His height at his third rest stop = 600 + 500 = 1,100 ft

Therefore, the average elevation, hₐ, of his three rest stop is given as follows;

hₐ = (The sum of the three elevation)/(The number of elevation)

hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3  = 900 ft

The average elevation of his three rest stop = 900 ft.

Answer:

s= -1.5t + 18

Step-by-step explanation:

The Equation to represent the depth of snow is s= -1.5t + 18.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We learn from the question that the snow's depth is s and that it takes hours to melt the snow.

The amount of snow is 12 inches deep after 4 hours of melting.

Now, keep in mind that the melting rate is 1.5 inches per hour.

and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.

Thus, the initial snow depth will be 6 + 12 = 18 inches.

Hence, the Equation to represent the depth of snow is s= -1.5t + 18.

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Answer:

t=15

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

3 1.4 lbs also equals 3.25

3 x 0.75 = 2.25

2.25 + 25 = 2.5

Answer:

D: Website titles

Step-by-step explanation:

Answer:

1/2 or 0.5 is greater than 1/5

Answer:

The answer is 300 miles

Step-by-step explanation:

120x2=240

120x .5= 60

240+60=300

Answer:

3(2r+2) = 6r + 6

Step-by-step explanation:

Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six

Answer:

f^-1(x) = -4 / x - 2

Step-by-step explanation:

First swap the x and y values. This is done by setting f(x) to x, and x to y.

f(x) = (2x - 4) / x → x = (2y - 4) / y

*Then solve for y like you would for a normal equation*

x = (2y - 4) / y

×y ×y

(multiplication property of equality)

*This will isolate the extra y term*

__________________________

xy = 2y - 4

-2y -2y

(subtraction property of equality)

*This is done to group the like terms together, because they both share a y term now*

_____________________________

xy - 2y = -4

| |

v v

( x - 2 )

(GCF)

*In this case the GCF is y because it is the factor held in common, reverse distributive property*

________________________________

y(x-2) = -4

÷(x-2) ÷(x-2)

(Division property of equality)

*This is the last and final step to isolate the y term completely, so we can find the inverse*

y = -4/x-2

*This is the inverse*

Now just set it in function form as an inverse:

y = -4/x-2 → f^-1(x) = -4/x-2

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

Answer choice D. k is equal to 3.5

Step-by-step explanation:

In this equation, we must get the k all by its self. To do that, let's eliminate the 30. To do this, we must subtract 30 from both sides.

30 - 7k = 5.5

-30          -30

Then we get...

-7k = -24.5

Now we must get rid of the -7 that is multiplied by k. to do this, let's divide both sides by -7.

-7k = -24.5

-7        -7

And we get...

k = 3.5

And therefore, k is equal to 3.5. I hope this helps, and I hope it's not wrong, but I do not think it is.

Answer:

1/125

Step-by-step explanation:

=1/5*5*5

=1/5^3

=1/125

Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:

5^-3 = 1/(5^3)

Answer:

[tex]49v^{2} +42v+9[/tex]

Step-by-step explanation:

First, let me say, I'm not sure what exactly the equation is because it's worded weirdly, but I'm assuming it's [tex](7v+3)^{2}[/tex].

(7v+3)(7v+3) [[tex]7v+3^{2}[/tex] is the same as (7v+3)(7v+3).]

[tex]49v^{2} +42v+9[/tex] [When you multiply them, this is the product.]

This is as far as you can simplify without knowing the value of v as far as I know.

Answer:

1.23 × [tex]10^{-5}[/tex]

Step-by-step explanation:

A number expressed in standard form has the form

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

Express the number given as a number between 1 and 10, that ia

1.23 × [tex]10^{n}[/tex]

We require to obtain the original number by moving the decimal point by moving the decimal point back 5 places to the left.

Move to the right then n > 0

Move to the left then n < 0

Thus

0.0000123 = 1.23 × [tex]10^{-5}[/tex]

Answer:

no

Step-by-step explanation:because 117% would be 1.17  and 50/33 is 1.5151...

The fraction can be converted into percentage by multiplying it by 100. The given fraction is not equivalent to 117%.

A percentage is a value that indicates hundredth part of any quantity.

To convert percentage into a fraction it is divided by 100.

The given fraction is 50 / 33

In order to check whether the given fraction is equal to 117%, convert the given fraction to percentage by multiplying it by 100 as follows,

(50 / 33) × 100%

=  50 × 3.33%

=  166.5%

Thus, the given fraction is not equal to 117%.

Hence, 50 / 33 and 117% are not equivalent.

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 hour you will make $10

2 hours you will make $20

10 hours you will make $100

The constant of proportionality is 10

and its x=10y

I don't understand what they mean when its says "x hours"