A print company will print business cards for $.10 each plus a setup charge of $12. Another print company offers business cards for $.12 each with a setup charge of $10. What number of business cards will cost the same amount from either printer?

Answer: -6x^7

Step-by-step explanation:

 2x^3 × (-3x^4)

=(2×-3) · (x^3 × x^4) ⇔ multiply the like terms

=-6 × [x^(3+4)] ⇔ the multiplication of exponents works as addition if same base

=-6x^7

Answer:

[tex]-6x^7[/tex]

Step-by-step explanation:

So when doing this equation, you multiply the numbers, which is 2 × -3, and add the exponents, which is 3 + 4, so then you get the answer, and that is [tex]-6x^7[/tex].

Answer:

40

Step-by-step explanation:

5= 1/8 of structure so 5*8= 8/8 of the structure= 40

Answer:

40 blocks

Step-by-step explanation:

5 = 1/8 of x

multiply by reciprocal of (1/8) = 8

5(8) = x

x = 40

40 blocks

Answer:

the answer is product and times.

Step-by-step explanation:

The 1st rectangle

16 *7=112

next triangle

find details

13-7=6

16-8=8

6*8

48÷2

24+112

136

Answer:

Vertical opposite angles are the same so the answer is D.

Answer:

5.75

Step-by-step explanation:

9-32÷4

23÷4

5.75

Answer:

1

Step-by-step explanation:

PEMDAS

9-32 / 4

9-8

1

Answer: 5.57

Step-by-step explanation:

The square root of 31 is 5.56776436 and if you round that 2 decimals places you get 5.57 bc anything higher than 5 gets rounded up to the next number.

Answer: 1. hypothesis: line is horizontal

Conclusion: has a slope of 0

2. If a line is vertical, then it has an undefined slope.

Hypothesis : line is vertical

Conclusion: has undefined slope.

Step-by-step explanation:

Answer:

[tex] x = 2.5 [/tex]

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

2πr(h + r) = πr²h

2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

[tex] 2(x + 2.5) = 2.5*x [/tex]

[tex] 2x + 5 = 2.5x [/tex]

Subtract 2x from both sides

[tex] 2x + 5 - 2x = 2.5x - 2x [/tex]

[tex] 5 = 0.5x [/tex]

Divide both sides by 0.5

[tex] \frac{5}{0.5} = \frac{0.5x}{0.5} [/tex]

[tex] 2.5 = x [/tex]

[tex] x = 2.5 [/tex]

Answer:

C. [tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]

Step-by-step explanation:

Given the expression, [tex] (x - 4)(x + 5) [/tex], the x-intercepts would be the values at which the expression = 0.

Rewrite the expression as:

[tex] (x - 4)(x + 5) = 0 [/tex],

Set the first and the second factors equal to 0

[tex] (x - 4) = 0 [/tex]

[tex] x = 4 [/tex]

[tex] (x + 5) = 0 [/tex]

[tex] x = -5 [/tex]

All the values that make [tex] (x - 4)(x + 5) = 0 [/tex] are the x-intercepts of the expression.

x = 4, -5

The point form of the x-intercepts are:

[tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]

Answer:

-p - 8

Step-by-step explanation:

1 - 3p + 2p - 9 = -p - 8

Answer:

B

Step-by-step explanation:

The range of the function is {0, 3}.

The range of a function on a graph is the set of all possible output values (y-values) that the function can take. To find the range of the given function, we need to determine the y-values corresponding to the points where the function is defined.

Let's analyze the points provided:

The line crosses the x-axis at (-4, 0). This means the function's y-value is 0 when x = -4.

The line turns at (-1, 3). This point is on the line, so the function's y-value is 3 when x = -1.

The line crosses the y-axis at (0, 2). This means the function's y-value is 2 when x = 0.

The line crosses the x-axis again at (2, 0). This means the function's y-value is 0 when x = 2.

Now, let's consider the intervals between these points:

a) When x < -4 (to the left of -4): The function's y-value is 0, as the line is horizontal at y = 0.

b) When -4 ≤ x < -1: The function's y-value starts at 0 and increases to 3, as the line rises from (−4, 0) to (−1, 3).

c) When -1 ≤ x ≤ 2: The function's y-value remains constant at 3, as the line is horizontal at y = 3 between (−1, 3) and (2, 3).

d) When x > 2 (to the right of 2): The function's y-value decreases from 3 to 0, as the line descends from (2, 3) to (2, 0) and further to the right.

So, the range of the function is {0, 3}.

In mathematical notation, the range is written as:

Range = {y | y = 0 or y = 3}

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Answer:

x = -7

Step-by-step explanation:

This is a multi-step equation in algebra. We are expected to isolate the given variable and find the constant value that it is equal to. In order to do this, we can follow some steps:

1x - 15 = 5x + 13 Subtract 5x on both sides of the equation.

-4x - 15 = 13 Add 15 to both sides of the equation.

-4x = 28 Divide by -4 on both sides of the equation.

x = -7

You can input this value and make sure that the answer is correct.

1(-7) - 15 = 5(-7) + 13

-7 - 15 = -35 + 13

-22 = -22

-22 equals -22, so x = -7 is the solution to the equation.

Answer:

x= -7

Step-by-step explanation:

We are given the equation:

1x-15=5x+13

We want to solve for x. Therefore, we must isolate x on one side of the equation.

First, let’s move all the terms with variables to one side. Subtract 1x from both sides.

1x-1x-15=5x-1x+13

-15= (5x-1x)+13

-15=4x+13

Next, move all the constants, or terms without variables to one side. Subtract 13 from both sides.

-15-13=4x+13-13

-15-13=4x

-28=4x

Finally, divide both sides by 4. We should divide because x is being multiplied by 4 and the inverse of multiplication is division.

-28/4=4x/4

-28/4=x

-7=x

Let’s check our solution. Plug -7 in for x and solve.

1x - 15 = 5x + 13

1(-7) - 15 = 5(-7) + 13

-7-15=5(-7)+13

-22= 5(-7)+13

-22= -35+13

-22=-22

This checks out, so we know our solution is correct.

The solution to 1x - 15 = 5x + 13 is x= -7

The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C

The graph in option 3 models the length of the new rectangle.

According to the problem,

Now if width becomes (x+1) units

∴ Length will be represented as 10/(x+1)

Now from the given options we need to find the exact graph of              f(x) = 10/(x +1)

Here if x = 4 , y =2

So the point (4 , 2) is satisfied which is only happening in the graph of option 3

Option 3 represents the correct graph

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Answer:

Rational Numbers.

Step-by-step explanation:

Rational numbers ( these can be written as a/v where a and b are integers, b not 0)

Step-by-step explanation:

The mean is 27 and the standard deviation is 4.

23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean.  According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.

68% of 1200 is 816.

19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean.  According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.

95% of 1200 is 1140.

Answer:

[tex]\frac{4}{3}[/tex] x² - [tex]\frac{19}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

(2x - [tex]\frac{5}{3}[/tex] )([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

2x([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) - [tex]\frac{5}{3}[/tex] ([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) ← distribute both parenthesis

= [tex]\frac{4}{3}[/tex] x² - 3x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{27}{9}[/tex] x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{37}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

Answer:

8

Step-by-step explanation:

[tex]2x + 4x = x + 10 \\ 6x - x = 10 \\ 5x = 10 \\ x = 10 \div 5 \\ x = 2 \\ kl = 4x \\ 4 \times 2 = 8 \\ kl = 8[/tex]

If the value of x will be 2. Then the length of KL will be 8 units.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x.

Then the value of x will be

     JL = JK + KL

x + 10 = 2x + 4x

    5x = 10

      x = 2

Then the length of KL will be

KL = 4x

KL = 4 (2)

KL = 8 units

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Answer:

[tex]y=-3x+8[/tex]

Step-by-step explanation:

The answers are given in slope-intercept form.

[tex]y = mx+b[/tex]

The slope (m) in the question is -3. The y-intercept (b) is 8.

Plug the values in you get:

[tex]y=-3x+8[/tex]

Hope this helps.

Answer:

The third image is the correct answer.

Step-by-step explanation:

Answer:

3rd graph

Step-by-step explanation:

The answer is the 3rd graph.

The third graph has all the given characteristics.

It decreases from negative infinity to 3.

It increases from 3 to infinity.

It has a minimum value of -2.

It has a y-intercept of (0, 7).

Answer:

19000%

Step-by-step explanation:

i hope this correct

Answer:

144 is:

Natural

Whole

Integer

Rational

[tex]\sqrt{144}[/tex] is:

Irrational

Step-by-step explanation:

Natural-All positive integers (144 applies) ([tex]\sqrt{144}[/tex] does not apply)

Whole-All positive integers and zero (144 applies) ([tex]\sqrt{144}[/tex] does not apply)

Integer- All positive and negative whole numbers and zero (144 applies)  ([tex]\sqrt{144}[/tex] does not apply)

Rational-All integers, fractions, and non-repeating decimals (144 applies)  ([tex]\sqrt{144}[/tex] does not apply)

Irrational-A real numbers that are NOT rational (144 does not apply)  ([tex]\sqrt{144}[/tex] applies)

Now if you want to find which groups [tex]\sqrt{144}[/tex] belongs to, you must ask if this applies to any rules.

Answer: 1508 hours of sleep

Step-by-step explanation:

the arm gets 29 more hours of sleep than the plat per week

52 x 29 is 1508

yes

Step-by-step explanation:

7/13 isore than 1/2

Answer:

No 7/13 is not greater then 1/2

Step-by-step explanation:

7/13=1/2

7/13 is 0.05 and 1/2 is only 0.5

Ansdwer:

D

Step-by-step explanation:

Answer:

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Step-by-step explanation:

Edge

Answer:

60 dollars

Step-by-step explanation:

We can write a ratio to solve

4 tickets          5 tickets

--------------  = ----------------

48 dollars      x dollars

4x = 5*48

Divide each side by 4

x = 5*48/4

x = 60

Answer:

[See Below]

Step-by-step explanation:

4 tickets equals 48 so to get the price for each ticket divide:

* 48 / 4 = 12

So then just add now:

* 48 + 12 = 60.

So the cost of 5 tickets is 60$.

Answer:

42

Step-by-step explanation:

[(7-3)2+6]3... [(4)2+6]3...[8+6]3....14(3)=42

Answer:

It should be c 42.

Step-by-step explanation:

Because [(7-3)2+6]3

               [(4)2+6]3

               [8+6]3

               [14]3

               42

 Sorry if it's long

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

The equation of the line that passes through the given points will be y=1.5x-4.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line passes through (0,4) and (2,7)

The slope of the line is,

m = (7-4)/(2-0)

m=3/2

m=1.5

The equation of the line passes through the points (0,4) and (2,7) and has a slope of 1.5 will be,

y-4=1.5(x-0)

y-4=1.5x

y=1.5x-4

Thus, the equation of the line that passes through the given points will be y=1.5x-4.

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Answer:

B. 1-third

Step-by-step explanation:

The formula for probability = Number of favorable outcomes/ Total number of outcomes

From the question, we are told that:

Owen knows he only has three pencils in his backpack, and they are all yellow. Hence, total number of outcomes = 3

He reaches into his backpack without looking and takes out a pencil.

Hence, total number of favorable outcomes = 1

What is the probability that the pencil was yellow?

Probability ( That the pencil is yellow) =

Number of favorable outcomes/ Total number of outcomes

= 1/3

Therefore, the probability that the pencil was yellow is 1/3 or one - thirds