rebecca has a college savings plan. the equation that represents how much money she expects

Check whether the two expressions 2x+3y2x+3y and 2y+3x2y+3x equivalent.

The first expression is the sum of 2x2x 's and 3y3y 's whereas the second one is the sum of 3x3x 's and 2y2y 's.

Let us evaluate the expressions for some values of xx and yy . Take x=0x=0 and y=1y=1 .

2(0)+3(1)=0+3=32(1)+3(0)=2+0=22(0)+3(1)=0+3=32(1)+3(0)=2+0=2

So, there is at least one pair of values of the variables for which the two expressions are not the same.

Step-by-step explanation:

14) sin45 = x/6 ---> x = 6sin45 = 4.24

cos45 = y/6 ---> y = 6cos45 = 4.24

15) Use sine law to solve for x, y and z.

[tex] \frac{x}{sin45} = \frac{25 \sqrt{2} }{sin60} \\ x = 25 \sqrt{2} \frac{sin45}{sin60} = 25 \sqrt{2} \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{3} }{2} } \\ = \frac{50}{3} \sqrt{3} [/tex]

[tex]cos60 = \frac{y}{ \frac{50}{3} \sqrt{3} } \\ y = ( \frac{50}{3} \sqrt{3} )cos60 = ( \frac{50}{3} \sqrt{3} ) (\frac{ \sqrt{3} }{2} ) \\ y = 25 [/tex]

[tex]cos45 = \frac{z}{25 \sqrt{2} } \\ z = (25 \sqrt{2} )cos45 = (25 \sqrt{2} )( \frac{ \sqrt{2} }{2} ) \\ = 25[/tex]

Answer:

[tex]3^{-3}[/tex] ÷ [tex]3^{4}[/tex]

Step-by-step explanation:

When pulged into a calculator:

[tex]3^{3}[/tex]  ÷ [tex]3^{-4}[/tex] = 2187

When your options are pulged in you get this:

[tex]3^{-3}[/tex] ÷  [tex]3^{4}[/tex] = [tex]\frac{1}{2187}[/tex]

[tex]3^{3}[/tex] · [tex]3^{4}[/tex] = 2187

[tex]3^{7}[/tex] ÷ [tex]3^0[/tex] = 2187

3 · [tex]3^6[/tex] = 2187

because [tex]3^{-3}[/tex] ÷  [tex]3^{4}[/tex] doesn't equal 2187 that is your answer.

Answer:

6 is your base

your height is 8

8 x 6 = 48

48 divided by 2 = 24

Step-by-step explanation:

B is your answer

Answer:

B

Step-by-step explanation:

i am smart :)

[tex]acute[/tex]

because every angle is smaller than 90 degrees

Given:

The equation is:

[tex]y=20x^2-40[/tex]

To draw:

The graph of the given equation.

Solution:

We have,

[tex]y=20x^2-40[/tex]

The table of values for the given equation is:

x :        -2                -1                0                1                2

y :       40              -20            -40             -20             40

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of the given equation is shown below.

Answer:

Step-by-step explanation:

Answer:

its answer is option A. a point

Answer:

A.

a point

Step-by-step explanation:

a location is a place where a particular place or a point exists..... A place's where absolute location is it's exact place on Earth,often given in terms longitude.for example,the empire State building is located at 40.7 degrees north (longitude), 74 degrees west (longitude)

1. What is common in the four

figures

2. What makes figures 3 and

4 different from figures 1

and 27

figure

3. Which among the four

figures show

perpendicularity?

4. When are lines said to be

perpendicular to each

other?

Answer:

Perimeter = 25

Step-by-step explanation:

J(-2, 5)

K(1, 1)

L(1, -1)

M(-5, -4)

N(-5, 1)

Formula for distance between 2 coordinates is;

d = √((x_2 - x_1)² + (y_2 - y_1)²)

Thus;

JK = √((1 - (-2))² + (1 - 5)²)

JK = √25

JK = 5

KL = √((1 - 1)² + (-4 - 1)²)

KL = √25

KL = 5

LM = √((-5 - (-1))² + (-4 - (-1))²)

LM = 5

MN = √((-5 - (-5))² + (1 - (-4))²)

MN = 5

JN = √((-5 - (-2))² + (1 - 5))²)

JN = 5

Thus;

Perimeter = 5 + 5 + 5 + 5 + 5

Perimeter = 25

Answer:

Question not written properly. Please write the full question with every detail possible not some shorten question

Step-by-step explanation:

Answer:

Triangles always have 180°, split in some manner between the three angles. With two of the three angles given, you can set up a relatively simple equation, where the third angle is assigned to the variable x:

45°+85°+x=180°

130°+x=180°

x=50°

Answer:

5/8

Step-by-step explanation:

3/4 = 6/8

6/8 - x = 1/8

x = used gas = 5/8

Answer:

3. (-3,4)    x=-3, y=4

Step-by-step explanation:

1. 3x-y=-13

  -y=-13-3x

  y=13+3x

2. 4x+2y=-4

   4x+2(13+3x)=-4

   4x+26+6x=-4

    10x+26=-4

    10x=-4-26

    10x=-30

    x=-30/10

    x=-3

3.  y=13+3x

    y=13+3(-3)

    y=13-9

    y=4

9514 1404 393

Answer:

Step-by-step explanation:

The above-listed answer choices are the only ones that are self-consistent.

The quotient choices all have a leading coefficient of 3, and the result of dividing by <some number> is a leading coefficient of 1. Obviously, the <some number> must be 3 (first choice on the second menu).

Looking only at the constant term, we see that after division by 3, we have 3. So the original quotient constant term must be 3×3 = 9 (first choice on the first menu). Note that we have chosen the correct answer simply by looking at coefficients, not even bothering with actual division of variables.

Answer:

6561

Step-by-step explanation:

So, lets just go over what we know:

The exponent is 4, meaning the number will be multiplyied by itself 4 times.

The number is -9, so we are going to multiply it by -9, 4 times.

We can think of it like this:

9*9*9*9

I used postive nines instead of negative nine since the sign will be postive.(Because its a even exponent)

Now lets solve:

9*9*9*9

=

81*9*9

=

729*9

=

6561

So this is the answer!

Hope it helps! :)

9514 1404 393

Answer:

  [tex]f^{-1}(x)=\pm\sqrt{x-10}[/tex]

Step-by-step explanation:

You can find the inverse of

  y = f(x)

by solving for y:

  x = f(y)

__

  x = y² +10

  x -10 = y² . . . . . . . . subtract 10

  ±√(x -10) = y . . . . . take the square root

The inverse relation is ...

  [tex]\boxed{f^{-1}(x)=\pm\sqrt{x-10}}[/tex]

__

It is not a function unless some restriction is placed on the domain of f(x).

Answer:

A: 5% High risk; 15% medium risk; 80% low risk.

Step-by-step explanation:

Option A will be the most appropriate because it follows the risk pyramid pattern that guides investors.

Now, in the risk pyramid, the low risk investment should be the biggest and should contain a large part of your assets since it will be low in risk and have good foreseeable returns. The medium risk investment should be the next biggest as it allows stable returns while capital appreciates. While the high risk return investment should be the lowest as it should consist of money you can lose and wouldn't really affect you.

Answer:

Step-by-step explanation:

Subtracting a positive from a negative would still be negative!

Hope I helped! :)

Answer:

90 units sold per hour

Step-by-step explanation:

1/60 of an hour is one minute

1 1/2 is how much it is per minute

1 1/2*60=90

Answer:

(1, -4) & (4,-7)

Step-by-step explanation:

If both the parabola and the line intersect.

Answer:

[tex]ML = 58[/tex]

Step-by-step explanation:

Given

[tex]JK=3x+11, ML=10x-12, NP=45[/tex]

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

[tex]JK : NP = NP : ML[/tex]

Express as fraction

[tex]\frac{JK }{ NP} = \frac{NP }{ ML}[/tex]

Cross Multiply

[tex]JK * ML = NP * NP[/tex]

Substitute values:

[tex](3x +11) * (10x - 12) = 45 * 45[/tex]

Expand

[tex]30x^2 - 36x + 110x - 132 = 2025[/tex]

[tex]30x^2 +74x - 132 = 2025[/tex]

Collect like terms

[tex]30x^2 +74x - 132 - 2025=0[/tex]

[tex]30x^2 +74x -2157=0[/tex]

Using a calculator:

[tex]x \approx -10[/tex] and [tex]x \approx 7[/tex]

Given that:

[tex]ML=10x-12[/tex]

Substitute values for x

[tex]ML=10*-10-12 = -100 - 12 = -112[/tex]

[tex]ML=10*7-12 = 70 - 12 = 58[/tex]

ML cannot be negative; So:

[tex]ML = 58[/tex]