Find the sum of these polynomials. (2x^2+x+3)+(3x^2+2x+1)

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .

Answer:

4 4/1

Step-by-step explanation:

we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.

Answer:

4×4=16

16+1=17

=4/17

step-by-step explanation:

since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator

how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.

Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be

[tex]P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%[/tex]

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4/3 of a number is more than 3/4 of its number by 1 . find the number .

According to question 4/3 of a number is equal to :

[tex] \longmapsto \: \frac{4}{3} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{4x}{3} [/tex]

According to question 3/4 of a number is equal to :

[tex]\longmapsto \: \frac{3}{4} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{3x}{4} [/tex]

Now , forming equation :

As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :

[tex]\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1[/tex]

Now , transposing 3x/4 to left hand side :

[tex]\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1[/tex]

Now , taking L.C.M :

[tex]\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1[/tex]

Now by calculating :

[tex]\longmapsto \: \frac{16x - 9x}{12} = 1[/tex]

Now Subtracting 16x with 9x and transposing 12 to right hand side :

[tex]\longmapsto \: 7x = 12[/tex]

So ,

[tex]\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}[/tex]

Answer:

x = 109°

Step-by-step explanation:

x = 64+45 = 109°

it looks simple, but that's the answer

The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

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

The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988

Let x represent the cost of mailing the letter in 1938, hence:

x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent

The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

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Answer:

There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...

Step-by-step explanation:

#caryonlearning correct me if im wrong

Answer:

<ABC= 45 degrees

Angles on a straight line add up to 180

3x+ x= 180

4x=180

x=180÷4

x=45

Answer:

Measure of ABC = 15 degrees.

Step-by-step explanation:

We draw 2  lines parallel  to l and m , one passing through pont C ( n) and the other passing through point D (p).

If < abc = x degrees then the angle below line n = 25 - x. As the one above = x degrees ( alternate to < ABC).

The angle below line p = < DEF 3x degrees (alternate angles)

So as  < CDE = 55:

25 - x + 3x = 55

2x = 30

x = 15.

So < ABC = 15 degrees.

Answer:

133m²

Step-by-step explanation:

Super easy!

A = BxH

  = 9.5x14

  = 133

So hence, your answer is 133.

The area of this rhombus is 133m²

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Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

b) Circumference of circle with diameter 7 units

c) Diameter of circle with area 121π square units

d) Area of circle with circumference 20π units

Area of circle with radius 10 units is 314 square units,

Circumference of circle with diameter 7 units is 22 square units,

Diameter of circle with area 121π square units is 22 units and

Area of circle with circumference 20π units is 314 square units

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

a) Area of circle with radius 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 sq. units

b) Circumference of circle with diameter 7 units

C = πd

C = 3.14×7

C = 21.98 units

c) Diameter of circle with area 121π square units

A = πr²

121π = πr²

r = √121 = 11 units

d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr

20π = 2πr

r = 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 square units

Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units

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The value of the mean height for the given data will be 84.6 ft. Option A is correct.

It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.

Given data;

Mean,[tex]\rm\bar x = 84[/tex]

Standard deviation,[tex]\sigma= 2[/tex]

No of sample,n=64

The mean height is foundd as;

[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]

84.6>84.49

The value of the mean height for the given data will be 84.6 ft.

Hence option A is correct.

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Answers:

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

Explanation:

Answer:

Class C has least variability and Class B has highest variability.

I think it will help you

Range= Large- Small Data

Answer:

-5

Step-by-step explanation:

Your equation will look like this:

3x+9=-6

Subtract 9 from both sides.

3x+9−9=−6−9

3x=−15

Divide both sides by 3.

3x/3=−15/3

x=−5

Hope this helped!

The asked number is -5

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, nine more than three times a number is -6​, we need to find the number,

Let us consider the asked number be x

Establishing the equation, we get;

3x+9 = -6

Subtract 9 from both sides.

3x+9-9 = -6-9

3x = -15

Divide both sides by 3.

3x/3 = -15/3

x = -5

Hence, the asked number is -5

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Answer:

It's 0.03 rounded to the nearest hundredth.

Step-by-step explanation:

The whole answer is 0.0253164557.

Transforming the solid line to the dotted line would change the equation of the functions

The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]

The equation of the solid line is given as:

y = √x

The solid line undergoes the following transformation to match the dotted line

The rule of the above sequence of transformations is:

(x,y) -> (x - 6, -y + 3)

Using the above transformation rule, the equation of the dotted line is:

[tex]f(x) = -\sqrt{x - 6} + 3[/tex]

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Answer:

110 cm

Step-by-step explanation:

Hope it will help you.

Answer:

D

Step-by-step explanation:

The expression is equal to 1/300

D is the only other one equal to 1/300

Answer:

Step-by-step explanation:

She plans to spend 3/36 of her budget on a cake ($24.00).

Because $24.00 is 3/36 of the total budget, you divide 24 by 3/36.

[tex]\frac{24}{1}[/tex]  ÷  [tex]\frac{3}{36}[/tex]

Then, multiply the reciprocal of 3/36, which is 36/3.

= [tex]\frac{24}{1}[/tex]  ×  [tex]\frac{36}{3}[/tex]

= [tex]\frac{864}{3}[/tex] = 288

So, Dane's total budget for the birthday is $288.

Hope this helped !

The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.

Hope this was helpful to you

Answer:

The answer is $3. 75

Step-by-step explanation:

The question is somehow I just did what they said but I hope it helps

Answer:

6/12 of a mile

Step-by-step explanation:

7/12-1/12=16/12

Length: 44 metre

Here given,

length = L

breadth = 12 metre

perimeter = 112 metre

Answer:

48

Step-by-step explanation:

If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.

Slope: 1

y-intercept: 8

Hope it helps.

Do comment if you have any query.

Answer:

91

Step-by-step explanation:

130 - 1 1/2 ( 26) = 91

Answer:

12) x= 21

13) x = 1

14) x = 9

15) x = 1

Step-by-step explanation:

Here, we are being asked to solve the given equations and check our work.

To check the work, we need to substitute the found value of x into the equation to check if it makes a true and correct statement.

12) Solve for x:

[tex]\sf 12)\ \dfrac{2}{3}x + 2 = 16\ \textsf{[subtract 2 from both sides]}\\\\\implies \dfrac{2}{3}x + 2 - 2 = 16 - 2\\\\\implies \dfrac{2}{3}x = 14\ \textsf{[multiply both sides by 3]}\\\\\implies 3\left(\dfrac{2}{3}\right)x = 14(3)\\\\\implies 2x = 42\ \textsf{[divide both sides by 2]}\\\\\implies \dfrac{2x}{2}=\dfrac{42}{2}\\\\\implies \boxed{\sf x = 21}[/tex]

Check your work:

[tex]\sf \dfrac{2}{3}x + 2 = 16\ \textsf{[substitute 21 for the value of x]}\\\\\implies \dfrac{2}{3}(21) + 2 = 16\ \textsf{[multiply]}\\\\\implies \dfrac{42}{3} + 2 = 16\ \textsf{[divide]}\\\\\implies 14 + 2 = 16\ \textsf{[add]}\\\\\implies 16 = 16\ \checkmark \textsf{[true statement]}[/tex]

13) Solve for x:

[tex]\sf 13)\ \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[multiply both sides by 6 - LCM of 2, 3, and 6]}\\\\\implies 6\left(\dfrac{x}{2} + \dfrac{x}{3}\right) = 6\left(\dfrac{5}{6}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{6x}{2} + \dfrac{6x}{3}\right) = \dfrac{30}{6}\ \textsf{[divide]}\\\\\implies 3x+2x=5\ \textsf{[combine like terms]}\\\\\implies 5x = 5\ \textsf{[divide both sides by 5]}\\\\\implies \dfrac{5x}{5}=\dfrac{5}{5}\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}\ \textsf{[rewrite the fractions with a common denominator of 6]}\\\\\implies \dfrac{1\times3}{2\times3} + \dfrac{1\times2}{3\times2} = \dfrac{5}{6}\ \textsf{[multiply]}\\\\\implies \dfrac{3}{6} + \dfrac{2}{6} = \dfrac{5}{6}\ \textsf{[add]}\\\\\implies \dfrac{5}{6} = \dfrac{5}{6}\ \checkmark \ \textsf{[true statement]}[/tex]

14) Solve for x:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[multiply both sides by 24 - LCM of 6, 8, and 24]}\\\\\implies 24\left(\dfrac{x-1}{6} - \dfrac{x+1}{8}\right) = 24\left(\dfrac{1}{12}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{24x-24}{6}\right) - \left(\dfrac{24x+24}{8}\right) = \dfrac{24}{12}\ \textsf{[divide]}\\\\[/tex]

[tex]\sf\\\implies (4x-4)-(3x+3)=2\ \textsf{[distribute the negative sign]}\\\\\implies (4x-4)+(-3x-3)=2\ \textsf{[combine like terms]}\\\\\implies x - 7 = 2\ \textsf{[add 7 to both sides]}\\\\\implies x - 7 + 7 = 2 + 7\\\\\implies \boxed{\sf x = 9}[/tex]

Check your work:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[substitute 9 for the value of x]}\\\\\implies \dfrac{9-1}{6} - \dfrac{9+1}{8} = \dfrac{1}{12}\ \textsf{[simplify]}\\\\\implies \dfrac{8}{6} - \dfrac{10}{8} = \dfrac{1}{12}\ \textsf{[rewrite the fractions with a common denominator of 24]}\\\\\implies \dfrac{8\times4}{6\times4} - \dfrac{10\times3}{8\times3} = \dfrac{1\times2}{12\times2}\ \textsf{[simplify]}\\\\[/tex]

[tex]\sf\\\implies \dfrac{32}{24}-\dfrac{30}{24}=\dfrac{2}{24}\ \textsf{[subtract]}\\\\\implies \dfrac{2}{24}=\dfrac{2}{24}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{12}=\dfrac{1}{12}\ \checkmark\ \textsf{[true statement]}[/tex]

15) Solve for x:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[multiply both sides by 8 - LCM of 2, 4, and 8]}\\\\\implies 8\left(\dfrac{1}{4}+\dfrac{x+1}{8}\right)=8\left(\dfrac{1}{2}\right)\textsf{[multiply]}\\\\\implies \left(\dfrac{8}{4}+\dfrac{8x+8}{8}\right)=\dfrac{8}{2}\ \textsf{[divide]}\\\\\implies 2 + x + 1 = 4\ \textsf{[add]}\\\\\implies x + 3 = 4\ \textsf{[subtract 3 from both sides]}\\\\\implies x + 3 - 3 = 4 - 3\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1+1}{8}\right)=\dfrac{1}{2}\ \textsf{[simplify]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{2}{8}\right)=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1}{4}\right)=\dfrac{1}{2}\ \textsf{[add]}\\\\\implies \dfrac{2}{4}=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{2}=\dfrac{1}{2}\ \checkmark\ \textsf{[true statement]}[/tex]

Answer:

45°

Step-by-step explanation:

if angle 3 is 135 the angle 2 is 45 and angle 2 is equal to angle 4 which is 45°