A membership to Movie Night Movie Club costs $10, plus $2 per movie. The equation is y = 2x +10. Use x-values: 0, 5, and 10.

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25

Answer:

E

Step-by-step explanation:

Substitute each point into the equation to test whether they would equate to 2. Point a equates to 141, point b to -120, c to 27 and d to -54. Therefore, none of the points would correctly balance/be solutions to the equation

The solutions to the equation 3x + 12y = 2 is the option E. none of the above.

Equations are the mathematical expressions which consist of two expressions including one or more variables connected with an equal to sign.

We have to find the solution of the equation 3x + 12y = 2.

Substitute each ordered pairs given.

A. (7, 10)

(3 × 7) + (12 × 10 ) = 21 + 120 ≠ 2

B. (-8, -8)

(7 × -8) + (12 × -8) ≠ 2

C. (-7, 4)

(3 × -7) + (12 × 4) = -21 + 48 ≠ 2

D. (-2, -4)

(3 × -2) + (12 × -4) ≠ 2

So none of the ordered pairs satisfies the given equation.

Hence there is no solutions for the given equation in the options.

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Answer:

t = 7.46, 0.42

Explanation:

h = 126t - 16t²    [ "h" is height, "t" is time ]

when height is 50 feet

==================

\(\sf use \ quadratic \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0\)

==================

\(\Longrightarrow \sf t = \dfrac{-126\pm \sqrt{126^2-4\left(-16\right)\left(-50\right)}}{2\left(-16\right)}\)

\(\Longrightarrow \sf t = \dfrac{63\pm\sqrt{3169}}{16}\)

\(\Longrightarrow \sf t = 7.46, \ 0.42\)

Let's find

Put h=50

Use quadratic formula

\(\\ \rm\Rrightarrow t=\dfrac{-126\pm\sqrt{126²-4(-16)(-50)}}{-32}\)

\(\\ \rm\Rrightarrow t=7.5s,0.4s\)

Answer:

Step-by-step explanation:

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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The side length of the original cube is 8.90 inches

Let x be the side length of the original cube. After cutting off the top, the remaining rectangular box has dimensions of x-5, x-5, and x.

The volume of this rectangular box is:

(x-5)(x-5)(x) = x³ - 10x² + 25x

x³ - 10x² + 25x = 135

x³ - 10x² + 25x -135 = 0

Use cubic formula.

x =8.90

Therefore, the side length of the original cube is 8.90 inches

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Done

\( \pink{\underline{\boxed{8a²+a-7}}}\)

Solution :-

\(\Longrightarrow\sf{(3a ^2 + 2a) + (5a^2 -a-7)}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{3a^2+ 2a + 5a^2-a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{8a^2+2a-a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\( \Longrightarrow\sf{8a^2+1a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{8a^2+a-7}\)

\(\red{━━━━━━━━━━━━━━━━━━━━━━}\)

The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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Answer:

the answers are

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12

Step-by-step explanation:

Ok, so, to find this, remember- to find the true price of an item, remember the equation (PRICE DIVIDED BY QUANTITY), this will give you true price. So, for the individual, its $3.99 for one pound. In bulk, to find the true price, do price divided by quantity. $17.45/5= 3.45. So thats the better deal. Anyways, to find out how much cheaper it is, subtract 3.45 from 3.99. The answer is .54, however, since you need to round to the nearest tenth place, the answer would be .50

Answer:

A factory has a container filled with 3587 4 litres of cold drink in how many bottles of 200 ml capacity each can it be filled please tell me the answer. So, 179370 bottles are required to fill 35874000ml of cold drink.

35l ÷ 20 ml

Step-by-step explanation:

35×1000

35000÷20

Answer:

Step-by-step explanation:

1) 2x+ 4 = 10

2x = 6

x = 3 (3 is the answer)

2) we have to substitute y with 3 and z with 4

3.75*3 + 6.50*4 ≥ 50

11,25 + 26 ≥ 50

37.25 ≥ 50

so the answer is no, because the total will be $37.25

3)  12k + 2 < 12

12k < 10

k < 5/6

3/4 < 5/6  so the answer is true

4) we have to try the options

a)  3*4 + 4*2 + 6 = 26

12 + 8 + 6 = 26

26 = 26 (true)

b) 3*5 + 4*6 + 6 = 26

15 + 24 + 6 = 26

45 = 26 (false)

c) 3*4 + 4*3 + 6 = 26

12 + 12 + 6 = 26

30 = 26 (false)

d) 3*3 +4*5 + 6 = 26

9 + 20 + 6 = 26

35 = 26 (false)

so the answer is x=4 , y=2

5) 3a + 4 ≥ 13

3a ≥ 9

a ≥ 3

so the answer is {3,4.5,5}

The given limit is 0.

To solve the given limit, we can recognize the sum as a Riemann sum and convert it into an integral.

The given sum can be rewritten as:

\(\lim_{n \to \infty} \sum_{i=1}^{n} \frac{3}{n} \sqrt{1+\frac{3i}{n}}\)

Let's rewrite it in terms of integration:

\(\lim_{n \to \infty} \frac{3}{n} \sum_{i=1}^{n} \sqrt{1+\frac{3i}{n}}\)

Since we are taking the limit as n approaches infinity, we can approximate the sum as an integral.

The integral that corresponds to the given sum is:

\(\lim_{n \to \infty} \frac{3}{n} \sum_{i=1}^{n} \sqrt{1+\frac{3i}{n}} \approx \lim_{n \to \infty} \frac{3}{n} \int_{0}^{1} \sqrt{1+3x} ,dx\)

To solve this integral, we can use a change of variables.

Let u = 1 + 3x, then du = 3dx.

The integral becomes:

\(\lim_{n \to \infty} \frac{3}{n} \int_{0}^{1} \sqrt{1+3x} ,dx = \lim_{n \to \infty} \frac{1}{n} \int_{1}^{4} \sqrt{u} ,du\)

Integrating \(\sqrt{u}\), we get,

\(\lim_{n \to \infty} \frac{1}{n} \int_{1}^{4} \sqrt{u} ,du = \lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} u^{3/2}\right]_{1}^{4}\)

Substituting the limits, we have:

\(\lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} (4)^{3/2} - \frac{2}{3} (1)^{3/2}\right]\)

Simplifying further:

\(\lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} (8 - 2)\right] = \lim_{n \to \infty} \frac{1}{n} \left[\frac{12}{3}\right] = \lim_{n \to \infty} \frac{4}{n} = 0\)

Therefore, the given limit is 0.

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Answer:

Step-by-step explanation:

K (-5, 1)

L (0, 1)

M (0, 3)

N (-5, 3)

Answer:

tax is .58

for the pillow so

8.58

Answer:  a = 2.8

Step-by-step explanation:

3/4 (8a + 12) = 25.8

(3/4 * 8a) + (3/4 * 12) = 25.8

6a + 9 = 25.8

6a = 16.8

a = 2.8

Hope this helped! :)

Answer:

3/4 (8a + 12) = 25.8

(3/4 × 8a) + (3/4 × 12) = 25.8

a = 2.8

Hope this helps and have a AMAZING day :D

Answer:

60 % is also .60

100 = .60x

Solve for x

I hope this helps! The rest will be easy! Trust me :)

Answer:

Step-by-step explanation:

Answer:

Cannot be factored further

Step-by-step explanation:

\(x^{3} -x^{2}-4x=x(x^{2}-x-4 ) \\\)

Answer:

x(x^2-x-4)

Step-by-step explanation:

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

Yes, in solving she used Cross multiplication, multiplying 3 to 10 and 5 to 2 and arriving at the answer of 30/10, she then divided 30 by 10, getting the final answer which is 3.

\( \frac{3}{5} \ \times \frac{2}{10} = \frac{30}{10} = 3\)

a. The sample mean time to get to work for public transportation is 31.3 minutes and the sample mean time to get to work for the automobile is 32.1 minutes.

b. The sample standard deviation for public transportation is 4.2 minutes and the sample standard deviation for the automobile is 1.7 minutes.

c. Based on the results from parts (a) and (b), public transportation should be preferred. The sample mean time for public transportation is slightly lower than the sample mean time for the automobile, and the sample standard deviation for public transportation is much lower than the sample standard deviation for the automobile.

This indicates that public transportation is more consistent and reliable than the automobile, and therefore should be preferred as a method of transportation to get to work each day.

Complete question:

Public transportation and the automobile are two methods an employee can use to get to work.

each day. Samples of times recorded for each method are shown. Times are in minutes.

Public Transportation: 28 29 32 37 37 33 25 29 32 41 34

Automobile: 29 31 33 32 34 30 31 32 35 33

a. Compute the sample mean time to get to work for each method.

b. Compute the sample standard deviation for each method.

c. On the basis of your results from parts (a) and (b), which method of transportation should be preferred? Explain.

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