write an absolute value equation that has the given solutions x=--10 and x=4

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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Answer:

1 matter

2 atoms

3 molecules

4 matter and energy

5 solid liquid and gas
6 mass

i dont know the rest to be honest

Step-by-step explanation:

For the given solution, . x² - 16 = x-4 satisfies the x = -3

For the given values,

x = -3

a) x² - 16 = x-4

(-3)² - 16 = -3 - 4

7 = 7

So, this equation satisfied the solution.

b) x² +16=x+4

(3)² - 16 = 3 - 4

7 ≠ -1

So, this solution doesn't satisfy the equation

c) x² +16=x-4

(3)² + 16 = -3 - 4

9 + 16 ≠ -7

So, this solution doesn't satisfy the equation

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Answer: six-hundred and nineteen thousand four-hundred and ninety three

Step-by-step explanation:

Answer:

Kayla drove 45miles

Answer: She went 3/4 miles in a minute and 45 miles in an hour

Step-by-step explanation:

15 miles in 20 minutes so 45 miles in 1 hour or 60 minutes

Since 45 miles in 60 minutes, 3/4 miles in a minute

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)

Answer: 18 cm2

Step-by-step explanation: the surface area of the cube is 54 cm2 and the rectangular prism is 72 cm2 so 72 - 54 = 18

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Hello!

We have the expression below:

To solve it, we can use the distributive property, look:

Answer:

628.32 m

Step-by-step explanation:

C = πd

C = π*(100m)

C = 314.16 m

Total Distance = 2*C

2*C = 628.32 m

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Multiply each X by the corresponding probability P(X), then take the sum.

\(E(X) = \displaystyle\sum_X XP(X) = 11\cdot0.07 + 14\cdot0.21 + \cdots + 29\cdot0.08 = \boxed{18.59}\)

B

Answer:\

a

The null hypothesis is  \(H_o : \mu_1 - \mu_2 \le 0\)

The alternative hypothesis is  \(H_a :  \mu_1 - \mu_2 > 0\)

b

\(t  = -0.39\)

c

The conclusion

There is sufficient evidence to conclude that the female outscores the male.

Step-by-step explanation:

From the question we are told that

  The  sample size for male  is  \(n_1  =  30\)

    The sample size for female is  \(n_2  =  30\)

 The level of significance is  \(\alpha = 0.01\)

The null hypothesis is  \(H_o : \mu_1 - \mu_2 \le 0\)

The alternative hypothesis is  \(H_a :  \mu_1 - \mu_2 > 0\)

Generally the sample mean for male is  

     \(\= x_1  =  \frac{\sum x_i}{n_1}\)

=>   \(\= x_1  =  \frac{620 + 570 +540 + \cdots + 580  }{30}\)

=>   \(\= x_1  =  574.33 \)  

Generally the standard deviation of  male is  

     \(s_1 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_1} }\)

=>  \(s_1 = \sqrt{\frac{ (620 - 574.33)^2 + (570 - 574.33)^2 +  (540 - 574.33)^2 + \cdots +(580 - 574.33)^2  }{30} }\)

=>  \(s_1 =206.24 \)

Generally the sample mean for female is  

     \(\= x_2  =  \frac{\sum x_i}{n_2}\)

=>   \(\= x_2  =  \frac{660 + 590 +560 + \cdots + 560  }{30}\)

=>   \(\= x_2  =  593.33 \)      

Generally the standard deviation of  male is  

 \(s_2 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_2} }\)

=>  \(\sigma_1 = \sqrt{\frac{ (660 - 593.33)^2 + (590 - 593.33)^2 +  (560 - 593.33 )^2 + \cdots +(560 - 593.33)^2  }{30} }\)

=>  \(s_2 =169.31 \)

Generally the degree of freedom for unequal  variance is mathematically represented as  

\(df  =  \frac{[\frac{s_1^2}{n_1}  +\frac{s_2^2}{n_2}   ]^2}{ \frac{[\frac{s_1^2}{n_1}]^2}{n_1 -1}  +\frac{[\frac{s_2^2}{n_2}]^2}{n_2 -1}  }\)

=> \(df  =  \frac{[\frac{206.24^2}{30}  +\frac{169.31^2}{30}   ]^2}{ \frac{\frac{206.24^2}{30}}{30 -1}  +\frac{\frac{169.31^2}{30}}{30 -1}  }\)

=>\(df  = 56\)

Generally the test statistics is mathematically represented as

  \(t  = \frac{\= x _1- \= x_2 }{\sqrt{\frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}} }\)

=> \(t  = \frac{574.33- 593.33 }{\sqrt{\frac{206.24^2}{30}  + \frac{169.31^2}{30}} }\)

=> \(t  = -0.39\)

From the t distribution table the value of  \(P(t < -0.39)\) at a degree of freedom of  \(df  = 56\) is  

   \(P(t <  -0.39) = 0.3490080\)

Hence the p-value  is   \(p-value =  0.3490080\)

From the values obtained we see that the p-value  is  >\(\alpha\)

Hence we fail to reject the null hypothesis.

The conclusion is  

  There is sufficient evidence to conclude that the female outscores the male

The relation and equation that is modelled by the graph is y = x - 1.

To determine the relation and equation that is modelled by the graph, we must analyze the characteristics of the graph.The graph is a straight line that passes through the points (0, -1) and (4, 3).

The slope of the line can be determined by using the slope formula:slope = (y2 - y1) / (x2 - x1) = (3 - (-1)) / (4 - 0) = 4/4 = 1

Therefore, the slope of the line is 1. We can use the point-slope form of the equation of a line to determine the equation of the line.y - y1 = m(x - x1)

where y1 = -1, x1 = 0, and m = 1Substituting these values, we get:y - (-1) = 1(x - 0)y + 1 = x Simplifying this equation, we get the relation y = x - 1.

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Answer:

quadrant three I think.

Answer:

quadrant IV

Step-by-step explanation:

(x,y) the x line has positive numbers while the y has negative numbers

Answer: 12x+18

Step-by-step explanation:

We know that the perimeter of a rectangle is 2(w+h). This time around, we have w = 5x+5 and h = x+4. Plugging those into the equation 2(5x+5+x+4),

you get 2(6x+9). Continue simplifying, you get 12x + 18

Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

Answer:

  Every point is moved so that it is 2/3 as far from the y-axis

Step-by-step explanation:

Translation and reflection are "rigid" motions. They do not change the size or shape of the figure, so the resulting figure will be congruent with the original.

Dilation by a factor of 2/3 changes the size, so will not result in a congruent figure.

_____

Here the dilation is in the x-direction only. It is not a transformation we usually are interested in.

Answer:

 Every point is moved so that it is 2/3 as far from the y-axis

Step-by-step explanation:

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Answer:

2 whole and 1/8

Step-by-step explanation:

Find out the total pounds of strawberries for the 4 containers.

4/8 + 2/8 + 5/8 + 6/8 = 17/8

17/8 = 2 whole and 1/8

Answer:

2 1/8

Step-by-step explanation:

4/8+2/8+5/8+6/8=17/8

17/8 as a mixed number is 2 1/8

Answer:

The answer is B.

Step-by-step explanation:

There is one shaded part out of four parts. This means that the shaded part takes up one-fourth of the overall box, or 1/4. To convert fractions to decimal, you need the denominator to be 100: therefore you multiply 25 to the numerator and denominator: 25/100. This is equal to 0.25 or 25%. The answer is B.

Answer:

B.

Step-by-step explanation:

¼ = 1÷4=0.25

0.25×100=25%

The average rate of change is

\(\dfrac{g(1)-g(-6)}{1 - (-6)} = \dfrac{2(1)^2-2(-6)^2}{1+6} = -\dfrac{70}7 = \boxed{-10}\)

The current amount of the sale is 96

The sale is 120

It was decreased by 20%

20/100 × 120

= 0.2 × 120

= 24

The amount of the current sale is

120-24

= 96

Hence the amount of the current sale which is calculated by subtracting 24 from 120 is 96

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Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

The volume of the cylindrical water cooler is 211.38 gallons. Therefore, option C is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall.

Now, radius = 3/2 =1.5 feet

We know that, the formula to find the volume of a cylinder is πr²h.

Here, 3.14×1.5²×4

= 28.26 cubic feet

In gallons = 28.26×7.48

= 211.38 gallons

Therefore, option C is the correct answer.

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The correct option is C, 211.38. Hope this helps :)

For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

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Answer:

\(\frac{-1.1x^{25} }{-1.1x^{11} }\)     \(\frac{mx^{67} }{mx^{37} }\)

Step-by-step explanation:

Sine (-1.1) is the same as (-1.1) you just put them together and if the numbers are by each other you just add up the exponents. But if the question says this \(\frac{-1.1x^{2} }{-1.1x^{3} }\) than you subtract the exponents.

·\((-1.1)x^{13}X (-1.1)x^{12} = add\\\frac{-1.1x^{2} }{-1.1x^{2} } = subtract\)

Hope this helps. Have a blessed day :)