simplify the following. (x²+2x)-(x²-7x)​

Answer:

hope this will help you more

Step-by-step explanation:

hope it is helpful to you

stay safe healthy and happy

Answer:

9

Step-by-step explanation:

First you would need to subtract all the irrelevant students.

So, subtract 4 from 36, which is 34.

34 - (10 + 15) =

34 - 25 =

9

The answer is 9 pupils.

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and r°. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.

Answer: C. x > 0

Step-by-step explanation:

The answer would be x > 0.

Answer:

C

Step-by-step explanation:

Answer:

5 units!

Step-by-step explanation:

Because Rectangle Perimeter = 2(a+b)

a=2w-1, b=w

2(2w-1+w)=28

3w-1=14

3w=15

w=5

So the answer is 5! 5! 5! A!A!A!

Fighting!! o(≧o≦)o

Answer:

345

Step-by-step explanation:

The velocity of a car over five hours is given by:

[tex]\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5[/tex]

And we want to find the total distance traveled from t = 0 to t = 5.

Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:

[tex]\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt[/tex]

Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:

[tex]\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345[/tex]

Answer:

x ≈ 60.6°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IJ}{HI}[/tex] = [tex]\frac{3.9}{2.2}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{3.9}{2.2}[/tex] ) ≈ 60.6° ( to the nearest tenth )

Answer:

Step-by-step explanation:

Answer: x = 7 and y = -2

Step-by-step explanation:

2x +3y = 8 ----------------(1)

x-y = 9 ----------------------(2)

multiply (2) by 2

2x-2y = 18--------------------(3)

subtract (2) from (3)

-5y = 10

Divide bothside by -5

y = -2

Similarly, multiply (2) by 3

3x-3y = 27-----------------------(4)

add (1) and (4) together

5x = 35

Divide bothside by 5

x= 7

Therefore, x =7 and y= -2

Answer:

c) x=126

Step-by-step explanation:

tell me if I get it right

The three inside angles of a triangle equal 180.

Subtract the two known angles from 180.

180 - 118.6 - 42.3 = 19.1

The third angle is 19.1

Answer:

x = 2/3

Step-by-step explanation:

-3x + 4 = 2

-3x = -2

x = 2/3

y = 2

(plug it into original equation)

(2/3. 2)

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

Answer:

it is what it is

Step-by-step explanation:

Answer:

Hope you find it helpful and usef

Answer:  B) y = -x+ 5

Step-by-step explanation:

If the x-value in the solution (x, y) is 2, then the y-value is:

[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]

So the solution coordinate is (2, 3).

Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.

A) y = -2x + 4

[tex]y = -2x + 4\\\y = -2(2) + 4 = -4 + 4 = 0[/tex]

B) y = -x+ 5

[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]

C) y = 2x

[tex]y=2x\\y=2(2)=4[/tex]

D) y = 2x + 1

[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]

ANSWER:

10 units

EXPLAINATION:

The measure of the indicated side would be 10 units because the triangle shown here is a equilateral triangle this can be seen by the picture in which all the angles of the triangle are equal.

Answer:

See figure below.

Step-by-step explanation:

See the figure below.

Answer:

1

Step-by-step explanation:

Let the number be n.

We are given:

n/12=q1+(7/12) where q1 is the quotient

n/6=q2+(?/6) where q2 is the quotient and ? is the remainder value we are trying to find.

? must be a integer between 0 and 5, inclusive. A remainder cannot be bigger than or equal to the divisor.

Let's rewrite the first equations

Multiply equation 1 on both sides by 2:

n/6=2q1+7/6

Remainder cannot be 7.

Rewrite again.

6 goes into 7 1 time with remainder 1.

n/6=2q1+(1+1/6)

n/6=(2q1+1)+1/6

So q2=2q1+1 and the remainder is 1 when dividing n by 6.

For fun. What is a number n with such conditions on it?

So what number has remainder 7 when divided by 12 and a remainder 1 when divided by 6.

n=12q1+7

n=6q2+1

If q1=1, we find a number right away that works.

19/12=1+7/12

19/6=3+1/6

Answer:

30 ,,,,,,,, I hope it's helpful for you

3 text messages = 5 cents

So,

1 text messages

= 5 cents/3

= 5/3 cents

So,

150 text messages

= 150 × (5/3 cents)

= 50 × 5 cents

= 250 cents

Given :-

To Find :-

Solution :-

We know that ,

→ Distance = Speed × Time

So that ,

→ Distance = 40 km/hr × 0.5 hr

→ Distance = 40km/hr × 1/2 hr

→ Distance = 20km .

Hence the required answer is 20km .

Answer:

Nope

Step-by-step explanation:

we can graph y = 5x as y = 5 units up and one unit to the right

but for right now let me be specific on what i mean

Specifically:

y = 5x is a Slope-Intercept equation, the original Slope-Intercept equation would be y = mx + b but in this case, we don't have b so we're focusing now on y = 5x, but what are we suppose to do with 5x??? well 5x represents the slope of the line so to graph a slope, use rise over run = rise/run. so only 5 is being used so 5 = rise/run = 5/1.

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Answer: (1, 3) doesn't satisfy the equation

Answer:

No, it does not satisfy the equation

Step-by-step explanation:

Hi there!

We are given the equation y=5x and we want to know if the point (1,3) will satisfy the equation

If we substitute the values of a point into the equation, and the result is a true statement (ex. 2=2), then the point satisfies the equation

If we substitute the values of a point into the equation and the result is a false statement (ex. 0=7), then the point doesn't satisfy the equation

The reason for this is because when we plug the value of a point into an equation, we're seeing if the equation will pass through that given point.

So let's substitute 1 as x and 3 as y into y=5x

3=5(1)

multiply

3=5

The result is a false statement; therefore, the point doesn't satisfy y=5x

Hope this helps!

Given:

Kendra charges $8.00 for two puzzles and a piece of candy.

She charges $4.50 for one puzzle and a piece of candy.

To find:

The cost of each puzzle.

Solution:

Let x be the cost of a puzzle and y be the cost of piece of candy.

Kendra charges $8.00 for two puzzles and a piece of candy.

[tex]2x+y=8[/tex]               ...(i)

She charges $4.50 for one puzzle and a piece of candy.

[tex]x+y=4.50[/tex]             ...(ii)

Subtracting (ii) from (i), we get

[tex]2x+y-(x+y)=8-4.50[/tex]

[tex]2x+y-x-y=3.50[/tex]

[tex]x=3.50[/tex]

The cost of puzzle is $3.50. Therefore, the correct option is A.

Answer:

188 m

Step-by-step explanation:

[tex] \tan(12) = \frac{40}{x} \\ x = \frac{40}{ \tan(12) } \\ x = 188[/tex]

Answer:

I think that the other answer is WRONG

tan(12) = [tex]\frac{x}{40}[/tex]

x = tan(12)*40 = 8.5

Step-by-step explanation:

[tex]\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x}[/tex] = 8.5

Answer: Simple random sampling

Step-by-step explanation:

Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.

In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.

Answer:

b

Step-by-step explanation:

Answer:

as x increases, y increases

Step-by-step explanation:

Answer:

B. as x increases, y increases

Step-by-step explanation:

Step-by-step explanation:

Given that,

The positions of the first particle,[tex]s_1=4t-t^2[/tex]

Velocity,

[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]

Position,

[tex]s_2=5t^2-t^3[/tex]

[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]

Hence, this is the required solution.