Under which operations are polynomials closed?

Answer:

Direct variation: y = 3x, y = (2/7)x, and -0.5x = y

Not direct variation: x = -1, y = 2.2x + 7, and y = 4

Step-by-step explanation:

We know that the equation for direct variation is y = k · x, where you can fill in for k whatever number you want.

So, let’s figure this out by looking at the equations.

Equation 1: y = 3x

We know this is a direct variation equation because it all fits together and the 3 is a substitute for the variable, k.

Equation 2: x = -1

This is not an example of direct variation because:

1) the variable by itself on one side is x, when it is supposed to be y

2) there is only one number, -1, when instead it should say, -1x.

Equation 3: y= (2/7)x

This is an example of direct variation because the 2/7 is filling in for the k, and everything else matched the direct variation equation.

Equation 4: -0.5x = y

Since it doesn’t matter on which side y is, let’s just turn the equation around to make it simpler.

Now we have:

y = -0.5x

This makes sense because we have everything a direct variation equation needs to have plus the -0.5 substituting in for the k.

Equation 5: y = 2.2x + 7

This is also not an example of direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.

Equation 6: y = 4

This is not an example of direct variation because there is no variable x in here! We have a k, but not an x!

Hope this helps! :)

The equations represent Direct variation are y = 3x, y = (2/7)x, and -0.5x = y

The equations represent Not direct variation: x = -1, y = 2.2x + 7, and y = 4

An equation is an expression that shows the relationship between two or more numbers and variables.

We know that the equation for direct variation can be written as;

y = kx,  

Equation 1; y = 3x

This is a direct variation equation because the 3 is a correct value for the variable, k.

Equation 2: x = -1

This is not an example of direct variation because the variable by itself on one side is x, when it is supposed to be y at that place.

Equation 3: y= (2/7)x

This is direct variation because the 2/7 is filling in for the k.

Equation 4: -0.5x = y

Since it doesn’t matter on which side y is, then just turn the equation around to make it simpler.

Now we have;

y = -0.5x

This is a direct variation equation that needs to have plus the -0.5 substituting in for the k.

Equation 5: y = 2.2x + 7

This is also a direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.

Equation 6: y = 4

This is not an example of direct variation because there is no variable x. We have a k, but not an x!

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Answer:

15 feet

Step-by-step explanation:

Since, it's a right triangle, we will use the Pythagorean theorem formula:

[tex]a^2+b^2=c^2[/tex]

a and b are the straight sides and c is the ladder (hypotenuse).

[tex](8)^2+b^2=(17)^2[/tex]

Solve for [tex]x[/tex]:

[tex]64+b^2=289[/tex]

[tex]b^2=225[/tex]

[tex]\sqrt{b^2} =\sqrt{225}[/tex]

[tex]b=15[/tex]

The distance between the ground and the top of the ladder is 25 feet.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

Hypotenuse= 17 foot

Base = 8 feet

Now, using pythagoras theorem

H² = P² + B²

17² = P² + 8²

289 - 64 = P²

P= √225

P= 25 foot

Hence, the distance between the ground and the top of the ladder is 25 feet.

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Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

-3x + 8 < 23

- 8 on both sides

-3x < 15

/ -3 on both sides

x > -5

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Answer:

It is x > -5

Step-by-step explanation:

Equation: -3x + 8 < 23

First, we have to move the constant to the other side. By moving it to the other side, the sign also changes becoming -3x < 23 - 8.

Now we simplify: 23 - 8 becomes 15

New equation: -3x < 15

Finally, we want the X by itself, and to do that, we must divide -3 to both sides. Keep in mind that when we multiply or divide, the sign '<' also changes.

[tex]\frac{-3x}{-3}[/tex]<[tex]\frac{15}{-3}[/tex] = x > -5

Answer:

1/2

Step-by-step explanation:

4x6=24

6x8=48

24/24=1

48/24=2

Therefore, it is 1/2

Answer:

the fourth one

Answer: 4

Step-by-step explanation:

Answer:

-7y/3z

Step-by-step explanation:

When dividing fractions, we flip the second one so that we can multiply the 2 fractions. When we do this, we get 7y/6 * -2/z. When we multiply the numerators and denominators, we get -14y/6z. Simplifying (dividing the numerator and denominator by 2), we get -7y/3z.

Answer:

252 Miles

Step-by-step explanation:

180 divided by 5 = 36

36 x 7= 252 miles

Answer:

Step-by-step explanation:

889

Answer:

A 35

Step-by-step explanation:

75-40=35

The right answer is 35.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Step-by-step explanation:

from left to right

1. 2400+280=2680

second row

2.540+63=603

third row

2940+343       =3283

top to bottom last row

2680

  +

603

=3283

=

Answer:

x and EAF are 27 degrees

Step-by-step explanation:

Since GAF is a right angle as indicated by the little square, GAC and CAF must add up to 90 degrees. Therefore, x is 90-63=27 degrees. The situation is the same for angle EAF. Hope this helps!

Answer:

y = 3/4 x + 25/4

Step-by-step explanation:

just tried the numbers out with desmos (free online software

the 3/4 where guessedby intuition

(would indeed appreciate the brainliest if you appreciate the work)

Answer:

i say 2

Step-by-step explanation:

i may be wrong

sorry:(

Answer:

Its 2  I think

Answer:

there are 12 sections in total and 3 green sections

3 wanted sections /12 total sections = 1/4 chance to get green

hope this helps

Step-by-step explanation:

Probability of spinning green on the spinner is equals to [tex]\frac{1}{4}[/tex] .

" Probability is defined as the mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Total number of spinning colour in a spinner = 12

Number of green spinner = 3

Substitute the value in the formula to get the probability we get,

Probability of spinning green = [tex]\frac{3}{12}[/tex]

                                                 =  [tex]\frac{1}{4}[/tex]

Hence, probability of spinning green on the spinner is equals to [tex]\frac{1}{4}[/tex] .

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X is 10 so both angles are 29. This means that the other angles are 151 because the whole thing must add up to 360.

Exactly one solution means the quadratic is a perfect square, so the usual two solutions coincide.  When we have repeated roots that means the discriminant is zero.

Answer: 0

Answer:

0

Step-by-step explanation:

Answer:

One

Step-by-step explanation:

This is because 1 triangle's interior angles add up to 180

And 110+50+20=180

Therefore only one triangle can be constructed

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and y- intercept c = - 4

2

The line y = [tex]\frac{2}{3}[/tex] x - 4

has slope m = [tex]\frac{2}{3}[/tex] → B

Answer:

11.slope intercept form:

y=2/3x-4

2. slope;

2/3

Step-by-step explanation:

1. make y the subject

2. =mx+c

m is the slope therefore 2/3 is the slope

Answer:

a=100 sq. cm.

Step-by-step explanation:

a= l×w

a=10×10

a=100

The right answer is 3/5

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

3/5

Step-by-step explanation:

divide by 7/7 and u get 3/5

Answer:

1075 ft^2

Step-by-step explanation:

The figure shows two rectangles. In order to get the two areas, we should be able to find the area of each and add them together.

The formula of the area of the rectangle = L * W

First rectangle [tex]= 25 * 8[/tex] = 200

Second rectangle =  25 * 35 = 875

Adding them together would yield 1075 sq ft.

Hope this helps

Answer:

4 rides

Step-by-step explanation:

Total amount = $21.50

Entry charge = $20.50

Amount left = $21.50 - 20.50 = $1

Number of rides

[tex]r = \frac{1}{0.25} = \frac{100}{25} = 4 \\ [/tex]

Another way:

[tex] 0.25\:r + 20.50 = 21.50\\

0.25\:r = 21.50 - 20.50\\

0.25\:r = 1\\

r = \frac{1}{0.25}\\

r = \frac{100}{25}\\

r = 4\\[/tex]

Answer:

x = -2, y = 1

Step-by-step explanation:

So you can solve this equation using subtraction.

Multiply the first equation by 2:

-10x + 6y = 26

Multiply the second equation by 3:

21x + 6y = -36

Subtract the two equations:

-31x = 62

x = -2

y = 1

Answer:

B, D, E

Step-by-step explanation:

i just took test

The statements that are true about both box plots are:

B. Both box plots show the same interquartile range.

D. Mr. Ishimoto had the class with the greatest number of students.

E. The smallest class size was 24 students.

A box plot is a graphical representation of the five-number summary of a data distribution, which displays the minimum value, maximum value, lower and upper quartiles, and median value.

From the box plots described, the following are the five-number summary of the data distribution for Mrs. Ishimoto's Class:

Five-number summary of the data distribution for Mr. Castillo's class:

Therefore, the statements that are true about both box plots are:

B. Both box plots show the same interquartile range.

D. Mr. Ishimoto had the class with the greatest number of students.

E. The smallest class size was 24 students.

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Answer:

2.8

Step-by-step explanation:

2.244=2π/b

2.244b=2π

2.244b/2.244=2π/2.244

(π=22/7)

b=2.8

howdy!!

the answer is below :)

Answer:

x-intercept=-74

Step-by-step explanation:

for x-intercept (y=0)

y=83x+9

0=83x+9

-83x=-0+9

-83x=9

x=9/-83

x=-0.1

Answer:

x = -27/8

Step-by-step explanation:

y = [tex]\frac{8}{3} x + 9[/tex]

to find x intercept let y = 0 then solve for x

0 = [tex]\frac{8}{3} x + 9[/tex]

-9 = [tex]\frac{8}{3} x[/tex]

divide both sides by 3

-9x3 = 8x

-27 = 8x

8x = -27

x = -27/8

Answer:

e = a

f = c

Angles a, b and c add up to 180°

Angles a, f and b also add up to 180°

Answer:

1,2,3,4,6,8,12,24

Step-by-step explanation:

Answer:

B) f(x) ≥ 3x + 4

g of x is less than or equal to negative one half times x minus 5

Step-by-step explanation:

From the above graph,  

If point B is the solution of the system of inequalities, then point B must satisfies both inequalities  

We can see from the graph that

Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).

So we can say,

Point b satisfies the inequalities

Therefore,  

The system is  

 f(x) ≥ (3x+4)

 g(x) ≤ (-1/2x -5)

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