Which of the following equations demonstrate that the set of polynomials is
not closed under the certain operations?
IN
O A. Division: (x2-5x+3) =(x- 2) = x- 3+
X-2
B. Subtraction: 8x* + x*)-(-2x + x) = 5x
O C. Addition: (x2 + x) + (x + 1) = x2 + 2x+1
D. Multiplication: (x2 - 5x+3)(x-5)= x - 10x2 +28x - 15​

Answer:

y-intercept of the line MN = 2

Standard form of the equation ⇒ x + y = 2

Step-by-step explanation:

Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)

Slope of a line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        = [tex]\frac{5-0}{-3-2}[/tex]

                        = -1

Equation of the line MN passing through (-3, 5) and slope = -1,

y - 5 = (-1)(x + 3)

y - 5 = -x - 3

y = -x + 2

This equation is in the y-intercept form,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, y-intercept of the line MN = 2

Equation in the standard form,

x + y = 2

the first one is : -1

the second one is: y-5 = -1 ( x + 3)

the third one is: -x + 2

the first one to the right side is: 0,2

and the second one on the right side is: x+y=2

your welcome

Given:

Mean of 52 minutes and a standard deviation of 5 minutes.

Solution:

According to the empirical rule: For the normal distribution, all of the data will fall within three standard deviations of the mean.

1: 68% of the data will fall within the first standard deviation from the mean.

2: 95% of the data fall within two standard deviations.

3: 99.7% of the data fall within three standard deviations.

[tex]3SD =99.7\%=\mu\pm3\sigma\\[/tex]

Therefore, the 7 intervals and their probabilities are:

1. [tex]1SD=0.68=P(47<x<57)[/tex]

2. [tex]0.95=P(42<x<62)[/tex]

3. [tex]0.997=P(37<x<67)[/tex]

4.[tex]13.5\%=P(42<x<47)[/tex]

5.[tex]13.5\%=P(57<x<62)[/tex]

6. [tex]2.35\%=P(37<x<42)[/tex]

7.[tex]2.35\%=P(62<x<67)[/tex]

Answer: The percentage of bags will the inspector reject = 15.87%

Step-by-step explanation:

Given, The weights of apple bags are normally distributed  with a mean of 5 pounds and a standard deviation of 0.25 pound.

i.e. [tex]\mu=5[/tex] and [tex]\sigma=0.25[/tex]

Let X be the weight of any random apple bag.

Since an inspector  weighs each bag and rejects all bags that weigh less than 4.75 pounds.

Then, the probability of bags will be rejected = probability that bags weigh less than 4.75 pounds.

[tex]=P(X<4.75)\\\\=P(\dfrac{X-\mu}{\sigma}<\dfrac{4.75-5}{0.25})\\\\=P(z<-1)\ \ \ [z=\dfrac{X-\mu}{\sigma}][/tex]

[tex]=1-P(z<1)\\\\=1-0.8413\ \ \ [\text{By z-value table}]\\\\=0.1587=15.87\%[/tex]

Hence, the percentage of bags will the inspector reject = 15.87%

Answer:

(0.88, 0.65)

Step-by-step explanation:

Given that the two equations of the line are:

y =( -2/5)x + 1 and  y = 3x – 2. To find the solution, we have to solve the equations simultaneously.

y =( -2/5)x + 1       .             .            .      1)

y = 3x – 2             .            .             .      2)

Subtracting equation 1 from equation 2:

3.4x -3 = 0

3.4x = 3

Dividing through by 3.4

3.4x/3.4 = 3/3.4

x = 0.88

To find y, substitute x = 0.88 in equation 2:

y = 3(0.88) - 2

y = 2.65 - 2

y = 0.65

This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)

Answer:

(0.88, 0.65)

Step-by-step explanation:

i just took the test

Answer:

y=|x+1|

Step-by-step explanation:

The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)

But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|

So y=|x+1|

The graph represents the equation : g(x) = |x + 1|

We have a graph given to us.

We have to write the algebraic expression depicting this graph.

The modulus of the function y = f(x) = x is given by -  

y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]

Using the above property, we can find out the number of solutions of any modulus equation.

The algebraic equation for the graph can be written as -

g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]

In the form of modulus function, we can write the above equation as -

g(x) = |x + 1|

Hence, the graph represents the equation : g(x) = |x + 1|

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Answer:

Step-by-step explanation:

let's say the price of the dress in the beginning is 100x

the on sale price decreases 80x  

80x = 74.12

100 x = 92.75

Answer:16.8 ur welcs

Step-by-step explanation:

Answer:

d. y= 5x+18

Step-by-step explanation:

y=mx+b is slope intercept form

Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).

So by substituting we get 28=5(2)+b

simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.

So now we use the values of slope(m) and the y-intercept(b) to write the equation:

y=5x+18

Hey there! I'm happy to help!

Slope-intercept form is a way to write the equation of a line, and it is very useful. It is y=mx+b. This equation shows how y is related to x on a line. The m represents the slope, which is the incline of the line. The b represents the y-intercept, or where the line hits the y-axis.

If you find any value for x and plug it into the equation, you will figure out what y-value it matches on the line. If you had the equation you could draw the line by plugging in x-values and plotting points and connecting the dots!

Anyways, we have a slope of 5. This means that so far our equation looks like y=5x+b. It does not tell us what the y-intercept is, so we need to figure it out!

If we have the values for m, x, and b, we can solve for y. Well, we don't have b, but we do have values for y, x, and m, so we should be able to solve for b!

We will plug in our point (2,28) and solve for b!

28=5(2)+b

28=10+b

b=18

Our y-intercept is 18.

So, we can write this equation in slope-intercept form for the line that follows the condition of slope 5 and passing through (2,28) below.

y=5x+18

Therefore, our answer is d. 5x+18.

Now you can find the equation of a line given the slope and a point! Have a wonderful day! :D

Answer:

9

Step-by-step explanation:

Speed of the train is:

And average speed is:

Comparing the two above, we see  y= 9

Answer:

Step-by-step explanation:

Spinner pointing to red, blue or yellow is equally likely:

P(blue) = P(yellow) = P(red) = 1/3.

In a perfect world, the spinner would land on blue (1/3)(150) = 50 times; on red 50 times and on yellow 50 times.

If in real life the spinner lands on yellow 44 times (C) is most reasonable, as that is closest to the ideal 50 times.

A) Lands on blue 60 times - Reasonable outcome.

B) Lands on red 120 times - Not reasonable.

C) Lands on yellow 90 times - Not reasonable.

D) Lands on yellow 44 times - Reasonable.

If the spinner has three colors (red, yellow, and blue) with equal areas, and we spin it 150 times, the reasonable outcomes would be:

A) Lands on blue 60 times - Reasonable since there is an equal chance of landing on each color, and 60 is a fraction of 150 that falls within the expected range.

B) Lands on red 120 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 120 is significantly higher than this expected value.

C) Lands on yellow 90 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 90 is significantly higher than this expected value.

D) Lands on yellow 44 times - Reasonable since there is an equal chance of landing on each color, and 44 is a fraction of 150 that falls within the expected range.

Therefore, the reasonable outcomes would be A) Lands on blue 60 times and D) Lands on yellow 44 times.

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Answer:

2/9

Step-by-step explanation:

We want  blue green in any order.  That means BG  or GB

There are 9 possibilities

P ( BG or GB ) = number of BG or GB's / total

                       = 2/9

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

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

-----------------

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

Answer:

Positive value of p = 1/2

Step-by-step explanation:

Given:

[tex]\sqrt{p^2}+1=\frac{5}{4}[/tex]

Find:

Positive value of p

Computation:

[tex]\sqrt{p^2}+1=\frac{5}{4}\\\\\sqrt{p^2}=\frac{5}{4}-1\\\\\sqrt{p^2}=\frac{5-4}{4}\\\\\sqrt{p^2}=\frac{1}{4}\\\\p = \frac{1}{2}[/tex]

Positive value of p = 1/2

Answer:

8 times a number plus 7

Step-by-step explanation:

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An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is D.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 8t+7 can be best described as 8 times a number plus 7.

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Answer:

1)

[tex]\text{ Slope = -3}[/tex]

2)

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

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

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

[tex]m=\frac{3-(-4)}{-1-7}[/tex]

Subtract. So, our slope is:

[tex]m=\frac{7}{-8}=-7/8[/tex]

2)

Now, let's use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]

Simplify. So, our point-slope equation is:

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]

Subtract. So, our slope-intercept equation is:

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

And we're done!

Answer: Shown Below

Step-by-step explanation:

1. -7/8

2. y+4= (-7/8)(x-7)

3. y=(-7/8)x+ (17/8)

Just did it

Answer:

Area = 18 sq. inches

Step-by-step explanation:

Hypotenuse = 6√2

as it is a right angled triangle and one of the angles is 45°,

=> the other angle is also 45°.

According to 45°-45°-90° theorem,

the side is 1/√2 times the hypotenuse.

Therefore, side = 6√2 × 1/√2

=6 inches.

Area of triangle = 1/2 × base × height

= 1/2 × 6 × 6

= 1/2 × 36

=18 sq. inches

Answer

30 minutes

Step-by-step explanation:

Answer: approximately 26.66667  minutes

This converts to 26 minutes, 40 seconds

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

Explanation:

Let's say there are 360 newspapers that need to be delivered.

The two brothers can get the job done in 40 minutes if they work together. Their rate is 360/40 = 9 newspapers per minute.

Richie can do the full job alone in 90 minutes. So his rate would be 360/90 = 4 newspapers per minute. In 30 minutes, he delivers 30*4 = 120 newspapers. This leaves 360 - 120 = 240 left over.

Divide this over the rate of 9 papers per minute to get 240/9 = 26.66667 approximately. It takes about 26.66667 minutes to finish up delivering the 240 remaining newspapers if the brothers work together.

The portion 0.66667 multiplies with 60 to get 0.66667*60 = 40.0002 which rounds to 40 (we have rounding error going on). This means

26.66667 minutes = 26 minutes, 40 seconds

Answer:

D

Step-by-step explanation:

From the graph, the solutions are x = -2 and x = 3, therefore, the equation must be (x - (-2)) * (x - 3) = (x + 2)(x - 3).

Answer:

No more than ≥

Not under ≤

No less than ≤

maximum ≥

Greater than or equal to ≥

Less than or equal to ≤

Does not exceed ≥

At most ≥

At least ≤

Minimum ≤

Answer: x = 11

Step-by-step explanation:

10x+84=194

10x = "10 times a number"

+84 = "increased by eighty four"

=194 = "equals 194"

10x+84=194

Subtract 84

10x = 110

Divide by 10

x = 11

Hope it helps <3

Answer:

The number is 11

Step-by-step explanation:

Represent the number by n.

Then:  10n + 84 = 194.

Subtracting 84 from both sides, we get:  10n = 110, and so:

n = 110/10 = 11

Answer:

Step-by-step explanation:

2 + 3² * ( 3 -1) = 2 + 9 * 2

                     = 2 + 18

                     = 20

Answer:

20

Step-by-step explanation:

2 + 3² · (3 - 1)

= 2 + 3² · 2 -- (3 - 1 = 2)

= 2 + 9 · 2 -- (3² = 9)

= 2 + 18 -- (2 · 9 = 18)

= 20

Answer:

For 13, there are 25 possible words, and for 14, depending on what the meaning of leaves is in this, the answer is 590.

Answer:

The first one is 25 and the second is 1080.

Step-by-step explanation:

To find how many 5-letter words you can make out of the letters, H, Q, L, R, and S, find the answer to 5². 5² = 25, so we can make 25 5-letter words. To find the number of "leaves" on the tree, just multiply the number of choices for color, monitor size, hard-drive size, and battery type together. So, 5×9×12×2 = 1080, so there are 1080 "leaves" on the tree.

Hope this helps! Plz give me brainliest like you said, it will help me achieve my next rank.

Answer:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Step-by-step explanation:

There are 100 students (40+15+20+25).

20 signed up for Track and Field.

20 out of 100 would equate to 20/100, or 2/10, or:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Answer:

a

Step-by-step explanation:

the two squares are shaded and eight are not

Answer:

[tex]\boxed{Option \ 2}[/tex]

Step-by-step explanation:

[tex]6*10^8\\=> 600000000[/tex]

[tex]3*10^6\\=> 3000000[/tex]

Dividing both

=> 600000000 ÷ 3000000

=> 200

So,

[tex]6*10^8[/tex] is 200 times larger than [tex]3* 10^6[/tex]

Answer:

[tex]\boxed{\mathrm{Option \: 2}}[/tex]

Step-by-step explanation:

[tex]6 \times 10^8 = 600000000[/tex]

[tex]3 \times 10^6 =3000000[/tex]

[tex]\frac{600000000}{3000000} =200[/tex]

6 × 10⁸ is 200 times larger than 3 × 10⁶.

Answer:

the degree of that polynomial is 4

Answer:

-10a4 + 17d4s2 - 6s2

Step-by-step explanation:

On Edgenuity

Answer:

A

Step-by-step explanation:

Answer:

B

You do not have enough information to solve the question.