Solve the following systems of equations. (a) x+y = 5 x-y = -1

Answer:

The total compound interest is $3,488.50, I hope I helped explain how to find total compound interest

Step-by-step explanation:

So the formula for this would be:

A = P(1+r/n)^nt

A = the amount of your principal plus interest, which is the total

P = stands for the principal, which is your original amount invested

r = shows the interest rate in decimal form

n =  stands for the number of compounding periods

So to solve for the compound interest we would plug in our numbers in replacement for the letters

Answer: 15 cm

Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.

As we know,

[tex] \boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}[/tex]

now, let's plug the given values to find a² + b²

Answer:

x = 36 is not a solution

Step-by-step explanation:

3x<100

Let x = 36

3*36 < 100

108 < 100

This is not true so x = 36 is not a solution

Answer:

This inequality is False!

Step-by-step explanation:

3x < 100

3x36 < 100

108 < 100

Since 108 is greater than 100 this statement is not true. Hope this helps:)

Answer:

Step-by-step explanation:

Let the width is x, then the area is:

Solving we get:

So correct choice is B

Answer: x= 13, y=24

Step-by-step explanation:

7x - 31 + 63 + 5x - 8 = 180 (sum of co-interior angles)

Solving this we get x = 13

4y + 27 + 5x - 8 = 180 (sum of co-interior angles)

Replacing x=13 and solving, we get y = 24

The value of x is 7 and y is 31.5.

Transversal line is a line that is formed by cutting two or more parallel lines.

Here there are two transversal lines which cut two parallel lines.

If two parallel lines are cut by a transversal line, then the interior angles on the same side of the transversal will be supplementary.

The angles of measures (7x - 31)° and (5x - 8)° + 63 are two interior angles  on the same side of transversal and are thus supplementary.

(7x - 31)° + (5x - 8)° + 63 = 180°

7x + 5x - 31 - 8 + 63 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 156/12 = 13

Similarly, (5x - 8)° and (4y + 27)° are a pair of interior angles on the same side of transversal.

(5x - 8)° + (4y + 27)° = 180°

5x + 4y + 19 = 180

(5 × 13) + 4y + 19 = 180

65 + 4y + 19 = 180

4y = 96

y = 24

Hence the values of x and y are 13 and 24 respectively.

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Answer:

i got it right on test⬇️

⃝⃝⃝  Hello there! ☆☆☆☆☆

There are 6 red apples.

We have 13 apples. 7 are green. The amount of red apples is found by:

13-7=6

:)

I hope this helps you!

[tex]GraceRosalia[/tex]

Answer:

6 red apples

Step-by-step explanation:

13 - 7 = 6

Answer:

The answer is 77848.1336

Answer:

Step-by-step explanation:

A. Senators have to have been a U.S. citizens for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.

C. Senators and members of the House of Representatives must live in the state they represent.

D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -

36/3 = 12

You will need 12 pizzas.

Answer:

663/20

Step-by-step explanation:

if you want simplist form its 33 3/20 or decimal its 33.15

Answer:

D) Squares, rectangles, rhombuses and trapezoids are quadrilaterals

Step-by-step explanation:

this line goes through the points (0, -3) and (4, 0).

so, the y-axis intercept is at y = -3.

therefore, the equation has to end with "- 3".

the slope (the factor of x in the equation) is the y/x ratio of the changes of y and of x when going from one point to the other :

x changes by 4 positive units (from 0 to 4), and y changes by 3 positive units (from -3 to 0).

so, the slope is 3/4.

and so, the equation is

y = (3/4)x - 3

[tex]1 \times \frac{3}{5} + ( \frac{7}{10} )[/tex]

Answer:

1 \times \frac{3}{5} + ( \frac{7}{10} )

Answer:

Second and Fifth answers

Step-by-step explanation:

The negative is being multiplied by a negative so the 7/10 should be positive.

Answer:

D.

Step-by-step explanation:

End behavior : Left up and right down

Even degree with negative leading coefficient

Answer:

3000 for 15 years at 4.5% p.a CI is. Rs. 23809.41.

There is only one real solution to these two equations, which we can see on the graph. The solution is where the two equations intersect.

Hope this helps!! :)

Answer:

True.

Step-by-step explanation:

If we put the values:

3×6-4=14

18-4=14

14=14

Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. ^_^

Answer:

y = 1/2x + 3

Step-by-step explanation:

First we find the slope:

(y2 - y1)/(x2 - x1) =

3-0 / 0 + 6

3/6 = 1/2

then the y intercept is 0,3 so we add 3

y = 1/2x +3

Answer:

2. 4y-2xy

Step-by-step explanation:

6y-2y(x+1)=6y-2xy-2y

=4y-2xy

The average rate of growth of the ice can be found by dividing the thickness by the number of days of growth

The growth rate of the ice over the 8 days is 0.375 inches/day

Reason:

The known information on the ice are;

The time it took the ice to reach a thickness of 3 inches = 8 days

Required:

The (average) rate that the ice is growing in c=inches per day

Solution:

[tex]Rate \ of \ growth \ of \ ice= \dfrac{Increase \ in \ thickness}{ Time} = \dfrac{\Delta \ Thickness}{\Delta T}[/tex]

Therefore;

[tex]Rate \ of \ growth \ of \ ice= \dfrac{3 \ inches}{ 8 \ days} = 0.375 \ inches/day[/tex]

The (average) rate of growth of the ice over the 8 days is 0.375 inches per day

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Answer:

25 rows

Step-by-step explanation:

Because if you divide 350 by 14 it gives you 25

Answer:

25

Step-by-step explanation:

350÷ 14 = 25.........

Answer:

BC​=48cm

Step-by-step explanation:

Let A= reference angle,

AC=h=60cm

AB=b=36cm

BC=p=?

Using pythogorean theorem,

h^2=p^2+b^2

√(60^2-36^2)=p

√2304=p

p=48cm

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Hi there!

We are given the following expression:

[tex]\frac{1}{6}[/tex] ÷[tex]\frac{1}{5}[/tex]

And we would like to solve it

Whenever we are dividing fractions, we are actually multiplying the first fraction (in this case, 1/6) by the reciprocal of the second fraction (in this case, 1/5), which is the "flipped" version of that fraction; the value that is in the numerator becomes the value in the denominator, and the value in the denominator becomes the value in the numerator.

So the reciprocal of 1/5 is 5/1, or 5/1

So we will multiply 1/6 by 5

[tex]\frac{1}{6} * 5 = \frac{5}{6}[/tex]

The fraction is in the simplest form; 5/6 is the answer.

Hope this helps!

Answer:

2960 ft.........is the difference between -40ft and 3000ft

Answer:

(x - 1) (x^2 + 4x + 53)

Step-by-step explanation:

Common factor: x - 1

(x^3 + 3x^2+ 49x - 53) / (x - 1)

= (x^2 + 4x + 53) (x-1)