The table shows how the distance traveled by a dogsled is changing over time. What value is missing from the table?

Answer:

D)  \(x=\frac{5}{3}\) and \(x=-4\)

Step-by-step explanation:

Factor by grouping

\(3x^2+7x-20=0\\\\3x^2+12x-5x-20=0\\\\3x(x+4)-5(x+4)=0\\\\(3x-5)(x+4)=0\)

Solve each factor using the Zero Product Property

\(3x-5=0\\\\3x=5\\\\x=\frac{5}{3}\)

\(x+4=0\\\\x=-4\)

Thus, \(x=\frac{5}{3}\) and \(x=-4\) are the solutions

Answer:

Step-by-step explanation:

dududuue

Answer: Jessica's journey in total is 4.31 km

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

just do 5+10+12

The type of measurement scale which the professor employed is an ordinal scale.

We can rate people or things using an ordinal scale without explaining the meaning of the distinctions between the ranks. The second level of measurement, known as the ordinal scale, conveys data ranking and ordering without assessing the degree of variation between them.

The data in the given case is the names of the subjects namely science, mathematics, and management, which is definitely qualitative data. Next, it must be determined whether the data is at the nominal level or the ordinal level. Data at the nominal level cannot be ordered, however, data at the ordinal level can be. The professor is developing a relationship between the subjects by placing them in order since he is able to rank them according to the preferences of the pupils. Thus, he is using an ordinal scale.

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Absolute value inequality that represents the number of hours you spend doing homework on a typical weekday is 2 ≤ x ≤ 5.

Let us assume that one spends x hours doing homework on a typical weekday. Then we can write

The inequality expression for a slow weekend is given as;

X ≥ 2

In the same vein, the inequality expression for a busy weekend is given as;

X ≤ 5

Putting the two inequalities we have together in the same expression;

2 ≤ x ≤ 5

Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality.  Writing an absolute value for this expression is represented as:

|x - h|≤ k

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Answer:

x = 0

Step-by-step explanation:

3(x - 1) = 2x - 3 + 3x

3x - 3 = 2x - 3 + 3x

0 - 3 = 2x - 3

0 = 2x

2x = 0

x = 0 ÷ 2

x = 0

Answer:

Answers are from left to right of each row;

2d^3 , 11d^2 , -4d

-18d^2 , -99d , 36

Step-by-step explanation:

Okay, here we are to multiply each of the row heading by the column heading.

For the d part;

The answers are;

d(2d^2) d(11d) d(-4)

= 2d^3 , 11d^2 , -4d

For the -9 part, we have;

-9(2d^2) -9(11d) -9(-4)

= -18d^2 , -99d , 36

Answer:

The greatest common factor is 2x

Answer:

Is C.

Step-by-step explanation:

Consider,

2x² = 4x - 7

2x² - 4x + 7 = 0

using Quadratic Formula

Therefore, Option C is correct.

The solution is (x,y,z) =(1,2,3)

It takes three row operations to transform an augmented matrix into its row-echelon form. by Gaussian elimination These involve row switch, multiplication of a row by a constant and addition of rows.

[R2 -2R1 -----R2]

1  2   3   14

2   -3  - 3   -15

2   3   1     11

[R3 -2R1 -----R3]

1      2       3   14

0    -3   - 3   -15

0   -1     -5    17

[R3 -(1/3R2 -----R3]

1      2       3   14

0    -3   - 3   -15

0   0     -4    -12

The result above may be expressed as a system of linear equations:

2x+2y+3z=14

-3y-3z=-15

-4z=-12

From the first equation and using y=−2 and z=3:

x+2y+3z=14

x+2(2)+3(3)=14

x+4+9=14

x+13=14

x=1

[substract 13 from both side]

The solution is (x,y,z) =(1,2,3)

The complete question is : Use the Gaussian Elimination Method to solve:

x+2y+3z=14

2x+y+3z=13

2x+3y+z=11

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In order to solve a system by substitution, you want to isolate a variable in one equation and then substitute it into the other equation.

Given that;

To complete the sentence for solving the system of equation.

Now, We know that;

Once you have substituted the variable, you can solve for the remaining variable(s) and find the solution to the system.

Hence, In order to solve a system by substitution, you want to isolate a variable in one equation and then substitute it into the other equation.

Therefore, Option C is true.

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Answer:

0.3 miles

Step-by-step explanation:

Using trigonometry : d

Tanθ = opposite / Adjacent

Tan 11 = d1 / 2

2tan11 = d1

0.3887606 miles  = d1

Tanθ = opposite / Adjacent

Tan 11 = d2 / 2

2tan18 = d2

0.6498393 miles  = d2

d2 - d1 = Distance flown within the minute

0.6498393 - 0.3887606 miles

= 0.2610787 miles

= 0.3 miles

Answer:

3) 12 yd^2

4) 27.5 m^2

5) 48 ft^2

6) 96 m^2

Step-by-step explanation:

3) 4(2x3x0.5) = 12 yd^2

4) (9x5)-(0.5)(7x5) = 27.5 m^2

5) (10x6)-(6x2) = 48 ft^2

6) 12x8 = 96 m^2

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

Answer:

5/1 or 5

Step-by-step explanation:

4 cup of lemonade is $20

then,

1 cup of lemonade is 20 ÷4 =5

Answer: True

Step-by-step explanation:

Substitute 12 for x in the inequality

x > 5

12 > 5

12 is greater than 5 so x = 12 is a solution to x > 5

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x is y= 5/2x.

We have,

A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.

Using constant of proportionality

y = kx

where k is the constant

So, put y= 10 and x= 4 then

10 = k (4)

k = 10/4

k= 5/2

Thus, the constant of proportionality is 5/2.

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Answer:

-7

Step-by-step explanation:

y-intercept

x=0

y-3= -2x-10

y=2(0)-10+3

y=0-7

y= -7

(0;-7)

Answer:  

-7

Step-by-step explanation:

The expression that indicates the amount of water, in gallons, in the swimming pool after m minutes is 1600 + 25m.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, there are already 1,600 gallons of water in a swimming pool and water is filling the pool at a rate of 25 gallons per minute.

Let m = number of minutes

The expression will be:

1600 + (25 × m)

1600 + 25m

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Answer:

-2

Step-by-step explanation:

h(-5) is the x value so -2 would be the y value

Answer: Itll always be a rational number and never zero

Step-by-step explanation:

Answer:

A rational number (The third option).

Step-by-step explanation:

1. By definition, rational numbers have the following form, where and are integers and \(b\neq 0\).

2. Therefore, when you add two rational numbers, the result will be a rational number.

3. An example is shown below:

\(\frac{1}{5}+\frac{2}{5}+\frac{3}{5}\)

The result is a fraction whose numerator and denominator are integers.

Answer: x=2 y=1

Step-by-step explanation:

11x = 22

x = 2

5*2-2y=8

10-2y=8

10-8=2y

y=1

Answer:

Step-by-step explanation:

Using a proportional relationship, the costs are given as follows:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

A proportional relationship may also involve multiple variables, as is the case in this problem, in which the cost is a function of the number of bags of popcorn p and the number of drinks d.

The constants are the prices of each product, hence the function for the total cost of p bags of popcorn and d drinks is given by:

C(p,d) = 3.35p + 4d.

Hence, for 3 bags and 8 drinks, the cost is:

C(3,8) = 3.35(3) + 4(8) = $42.05.

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Answer:

your answer will be (B)

Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer:(-2,0)

Step-by-step explanation:

you just kinda have to guess tbh that’s what i did

Answer:

2 < x

Step-by-step explanation:

the little circle on 2 is not filled, which means we do not include 2. if it was filled (darkened circle) we include this endpoint.

so, x > 2. in other word 2 < x.