The product of two rational numbers can always be written as
an irrational number.
a whole number.
an integer
a fraction.

Answer:(-4,5)

Step-by-step explanation:If you put (-3,2) and (-8,4) on a number line then it would be (-4,5).

Answer:

Table (4)

Step-by-step explanation:

Slope of a line passing through  two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

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

From the table (1),

Two points lying on the graph are (2, 1) and (6, -1).

Slope of the line = [tex]\frac{1+1}{2-6}[/tex] = [tex]-\frac{1}{2}[/tex]

From the table (2),

Two points lying on the linear function are (0, 8) and (2, 4).

Slope of the line =  [tex]\frac{8-4}{0-2}[/tex] = -2

From the table (3),

Two points are (-4, 4) and (-2, 5).

Slope of the line = [tex]\frac{5-4}{-2+4}[/tex] = [tex]\frac{1}{2}[/tex]

From table (4),

Two points lying on the function are (-2, 0) and (0, 4).

Slope of the line = [tex]\frac{4-0}{0+2}=2[/tex]

Therefore, Table (4) represents a linear function with slope 2.

Answer:

x = 8

Step-by-step explanation:

Since the triangle is equilateral, then the 3 sides are congruent.

Equate any 2 sides and solve for x, that is

7x - 29 = 5x - 13 ( subtract 5x from both sides )

2x - 29 = - 13 ( add 29 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

The triangle is equilateral, thus the 3 angles are congruent, thus

The measure of each angle is 60°

The value of the variable 'x' will be 8. And the measure of each angle will be 60°.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

If triangle ΔGHJ is an equilateral triangle.

GH = 5x - 13, HJ = 11x - 61, and GJ = 7x - 29

In the equilateral triangle, all the sides of the equilateral triangle are equal and each angle of the equilateral triangle will be 60 degrees.

GH = HJ = GJ

From the first two-term, then the value of the variable 'x' will be calculated as,

GH = HJ

5x - 13 = 11x - 61

11x - 5x = 61 - 13

6x = 48

x = 8

The value of the variable 'x' will be 8. And the measure of each angle will be 60°.

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Answer:

5/36

Step-by-step explanation:

1 x 5= 5

and 9 x 4=36

which makes 5/36

The solution to the product of the fractions is 5/36

From the question, we have the following parameters that can be used in our computation:

1/9 x 5/4

Express 1/9 as 1/9

So, we have

1/9 x 5/4 = 1/9 x 5/4

Evaluate the products of 1 and 5

So, we have

1/9 x 5/4 = 5/9 x 1/4

Evaluate the products of 9 and 4

So, we have

1/9 x 5/4 = 5/36

Hence, the solution is 5/36

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Answer:

26.261

Step-by-step explanation:

 32.161

- 5.900

26.261

Answer:

The width is 26cm and the length is 47cm :)

Step-by-step explanation:

im doing this rn

Answer:

Step-by-step explanation:

20: is a drawing with compasses and rular

18e³f+45e²f^4 ( take 9 as a common factor, e² and f)

9e²f(2e+5f^3)

x²-4x-12 ( factorize)

(x-6)(x+2)=0

either : x-6=0

then x=6

or x+2=0

then x=2

Answer:false

Step-by-step: just use the equation and put it in the graph

Answer: B

Step-by-step explanation: Only 3x and 2x Have the exact same variable

Answer:

An algebraic expression

Answer:

x=8

Step-by-step explanation:

4+4=x

4+4=8

x=8

We want to create and study a function that models the given situation.

We will find that the correct option is:

"The values of both x and y will be real numbers greater than or equal to 0."

The information that we have is:

Peaches are being sold for $2 per lb.

Then if we define x as the number of pounds that you buy, and y as the cost of these peaches, we can write the function:

y = $2*x

Now we want to see which statement describes the values of x and y.

Let's analyze each statement:

1) "The values of both x and y can be any real number."

False, a real number is -3, and you can't buy a negative number of peaches.

2) "The values of both x and y will be real numbers greater than or equal to 0."

Here we removed the above problem, so this works fine.

3) "The value of x and y will always be zero"

No, you can buy 2 pounds of peaches and you will pay:

y = $2*2 = $4

So neither x nor y need to be zero.

4) The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

Here we do not have problems, but there are some cases where the cost could be a fraction, like if you buy 0.25 lb of peaches:

y = $2*0.25 = $0.5

So the cost does not need to be an integer.

Finally, we can see that the correct option is:

"The values of both x and y will be real numbers greater than or equal to 0."

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Answer:

B.

Step-by-step explanation:

I just did it and got it right

Answer: (1,2)

Step-by-step explanation: In order to get 3/4 the distance, you have to use midpoint formula. Use midpoint formula to get the midpoint between M and N. In this case it would be the square root of ((x1+x2/2),(y1+y2/2)) (you can google this if it is not clear because of formatting). Once you get the midpoint of M and N, should be (-1,4) and we will call this point Z for reference, you find the midpoint of the original midpoint (point Z aka (-1,4) in our case) and point N. In doing this, your math should come out to the new point that is 3/4 to the distance. This point should be (1,2) if I am not mistaking.

Answer:

x = 20

Step-by-step explanation:

angles 2 and 3 are alternate interior angles, which means they're equal. so, we can make this equation: 3x-10 = x+30

3x - 10 = x + 30

2x - 10 = 30

2x = 40

x = 20

hope this helps!

Answer:

0.286

Step-by-step explanation:

2/7 as a decimal is 0.28571429

0.28571429 rounded to thousandths place = 0.286

hope this helps!!!

The decimal form of the number will be 0.286

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fractional number is 2/7. The decimal form of the number will be,

2/7 as a decimal is 0.28571429 by dividing the number 2 by 7.

Rounded to the thousandths place,

0.28571429 = 0.286

Hence, the decimal form of the number will be 0.286

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Answer:

A)3.375

Step-by-step explanation:

0.75 * 4.5 = 3.375

Answer: A)3.375

Few years late

Answer:

Slope of the given line= 0

Parallel lines have same slopes. Therefore, slope of the line passing through (-4,-6) =0.

Eq of line=

y+6= 0(x+4)

y+6=0

y= -6

Answer:

Around $4,368

Step-by-step explanation:

The initial cost is $11,800.

Each year, the new value will be 22% less than the previous year. Meaning that for each year that passes, the initial value will be multiplied by 0.78:

22% = 0.22

1 - 0.22 = 0.78

The value of the car after 4 years can thus be expressed as:

[tex]11800 * 0.78 * 0.78 * 0.78 * 0.78[/tex]

Or:

[tex]11800 * 0.78^4[/tex]

[tex]11800 * 0.78^4 \approx 4368[/tex]

Answer: around $4,368

Step-by-step explanation:

Around $4,368

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

60 mph

Step-by-step explanation:

1/10 of all take 2/5 time

10/10=10 times 1/10

so 10 times 2/5 time=20/5=4 days to finish 1 order

4 days

Answer:

A. 72

B. 3

C. 135

Step-by-step explanation:

A. 12 x 6 = 72

B. 15 x 3 = 45 so Nina raise 3x more money than Sandra

C. 45 x 3 = 135

Answer:

The correct statements are: B and D.

Step-by-step explanation:

Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the variability of the distribution of values.

The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.

Then the standard deviation (S.D.) is given by,

[tex]S.D.=\sqrt{\frac{1}{n-1}\sum\limits^{n}_{i=1} {(x_{i}-\bar x)^{2} }}[/tex]

The correct statements are:

B. It is a measure of variability.

D. It is calculated using the mean.

A 2:4

B  4:6:12

C 0.6:2.4

Distance from school to shop is 12 km

Answer:

9/4= x/8 = x = 9x8/4= 18

18+4= 22

Answer:

(x-3)(x-7)

Step-by-step explanation:

[tex]f(x) = x {}^{2} - 11x + 24 \\ g(x) = x - 3 \\ f (x) - g(x) = x ^{2} - 11x + 24 + x - 3 \\ collect \: like \: terms \\ f - g(x) = x ^{2} - 11x + x + 24 - 3 \\ f - g(x) =x ^{2} - 10x + 21 \\ f - g(x) =x ^{2} - 3x - 7x + 21 \\ f - g(x) =x(x - 3) - 7(x - 3) \\ f - g(x) =(x - 3)(x - 7)[/tex]

Answer:

x∠-5

Step-by-step explanation:

x+17∠12

x∠12-17

x∠-5

Answer:

x<-5

Step-by-step explanation:

The value of a number = x

is less than = <

x+17 < 12

x < -5

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I hope this is what you needed. If not, I am truly sorry.

Answer: W=6

Step-by-step explanation:

8w-10

W=6

8(6)-10

48-10

38

Answer:

It is A on edge 2020

Step-by-step explanation:

The equation of the number of students needed to make $1,500 in profit will be 1,500 = 5n – 300. Then the correct option is A.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Mustafa's soccer team is planning a school dance as a fundraiser.

The DJ charges $200 and decorations cost $100.

The team decides to charge each student $5.00 to attend the dance.

If n represents the number of students attending the dance.

The total amount of expenses will be

Total Expense = $200 + $100

Total Expense = $300

The total amount of charges will be

Total Charge = 5n

Then the amount of the profit will be

Profit = Total charge – Total expense

1,500 = 5n – 300

Then the equation can be used to find the number of students needed to make $1,500 in profit will be 1,500 = 5n – 300.

Then the correct option is A.

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Answer: x = 21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x−2=6+10(x−5)

8x+−2=6+(10)(x)+(10)(−5)(Distribute)

8x+−2=6+10x+−50

8x−2=(10x)+(6+−50)(Combine Like Terms)

8x−2=10x+−44

8x−2=10x−44

Step 2: Subtract 10x from both sides.

8x−2−10x=10x−44−10x

−2x−2=−44

Step 3: Add 2 to both sides.

−2x−2+2=−44+2

−2x=−42

Step 4: Divide both sides by -2.

−2x / -2 = -42 / -2

x=21

Answer:

x = 21

Step-by-step explanation:

8x - 2 = 6 + 10(x - 5)

Step 1: Distribute the right side of the equation ("6 + 10(x - 5)") so it'll be easier to find x.

8x - 2 = 6 + 10x - 50

8x - 2 = 10x - 44

Step 2: Subtract 8x from both sides

8x - 2 = 10x - 44

-8x         -8x

-2 = 2x - 44

Step 3: Add 44 to both sides to get 2x alone.

-2 = 2x - 44

+44       +44

42 = 2x

Step 4: Divide both sides by 2 to get x alone

42 = 2x

2      2

x = 21

24/30 or 4/5

24 of the 30 students= 24/30

24/30=4/5

4/5 is the simplified fraction