Select the correct answer.
Find the area of the rectangle by multiplying its length and width-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A. (21x2 − 17x + 2) square units
B. (21x2 − 11x + 2) square units
C. (21x2 + 2) square units
D. (21x2 + 11x + 2) square units

Answer:

x=16 and y=7

Step-by-step explanation:

This is easy. Its a systems equation.

-3x + 8y=8

3x - 9y= -15

-3x and 3x cancel out

8y plus -9y= -y

8+-15= -7

y=7

-3x+8(7)=8

-3x+56=8

-3x=-48

x=16

Answer:

1)  slope = 3, y-intercept = 1

2) slope = -4, y-intercept = 140

Step-by-step explanation:

to find the slope take rise over run, for y-intercept its always where ever the 0 falls on the x line.

1) since the rise(y) = 6, and the run(x) = 2, it becomes 6/2 making your answer 3.  They y-intercept is x = 0, y = 1.

2) The rise(y) = -20, and the run(x) = 5, it becomes -20/5 making your answer -4. The y-intercept is x = 0, y = 140.

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

                                     Cost      Production Max.

Console screen (x)      $600              450

Wide-screen (y)           $900              200

                                 $360,000

We have:

[tex]600x+900y \leq 360,000[/tex]

Because they can't spend more than $360,000 in production.

[tex]x\leq 450\\y\leq 200[/tex]

Because the number of television is restricted.

The profit function is

[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]

450 console screen and 100 wide screen give a profit of $76,250.

Answer:

Step-by-step explanation:

Answer: 270

1/2*7/8=7/16

Answer:

7/16

The required fraction of 1/2 of 7/8 is given as 7/16.

Fraction is defined as the number of compositions that constitutes the Whole.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1/2 of 7/8 = 1/2 × 7/8
               = 7 / 16

Thus, the required fraction of 1/2 of 7/8 is given as 7/16.

Learn more about fractions here:

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Answer:

Yes they are like terms.

Step-by-step explanation:

As like terms are those who has same variables or powers.Here,we have same variables for both the terms and both have the power 1.

hope it helps!

Answer:

b

Step-by-step explanation:

Answer:

n=37

Step-by-step explanation:

45-8=37

Answer:

n=37 easy math :)

Answer:

A

Step-by-step explanation:

a triangle equals 180 degrees, this is an isosceles triangle so 2 sides and the sides (opposite) angles are equal, so angle X = 180 - 70 - 70 so angle X equals 40 degrees as 180 - 140 = 40

Answer:

If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.

The graph opens upward, if the vertex of the quadratic function with a positive a value.

Given that, the quadratic function with a positive a value.

The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.

If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.

Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.

To learn more about the vertex of the quadratic function visit:

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Answer:

x is 23 degrees

Answer:

The mean absolute deviation (MAD) of her Math scores would be 1.2.

Step-by-step explanation:

Mean: 5.4 + 6.4 + 7.8 + 8.8 = 28.4/4 = 7.1

7.1 - 5.4 = 1.7

7.1 - 6.4 = 0.7

7.1 - 7.8 = 0.7

7.1 - 8.8 = 1.7

Mean Absolute Deviation: 1.7 + 0.7 + 0.7 + 1.7 = 4.8/4 = 1.2

hope this helps :)

Answer: I'm guessing but the answer should beD. 8.8.Tell me if I'm wrong. But at least I tried.

Step-by-step explanation:

Answer:

About 7.8 miles.

Step-by-step explanation:

We can use the distance formula to find the distance from the gas station to the house.

However, your teacher said to use the Pythagorean Theorem to find the distance.

(4,3), (10,8), and (10,3) would make a right triangle.

[See Picture]

Angelica's house is at point (4,3). It is 6 units from our new third point.

The gas station is at point (10,8). It is 5 units form out new third point.

The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.

Use the Pythagorean Theorem to find the length of the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]

7.81024967591 ≈ 7.8

The hypotenuse is about 7.8.

Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.

Brainilest Appreciated!

Answer:

AG = 7,8

Step-by-step explanation:

Plot the third point at (10,3) and let's call it point B.

Now construct the right sided triangle A B G

With A = (4,3) , B = (10,3) and G = (10,8).

AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6

BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5

Now use pythagorean theorem to calculate AG

In any right sided triangle you can use a² + b² = c²

In our case AB² + BG² = AG²

Substitute AB = 6 and BG = 5

6² + 5² = AG²

AG² = 6*6 + 5*5

AG² = 36 + 25

AG = + - SQRT(61)

{Only the + variant of the SQRT has a meaning here.}

AG = 7,81 rounded on one decimal AG = 7,8

Answer:

5 1/7

Step-by-step explanation:

Look at the attachment

Answer:

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Step-by-step explanation:

We are supposed to find inequality represents all possible combinations of x tulips and y carnations

Cost of 1 tulip = $5

Cost of x tulips = 5x

Cost of 1 carnation =$3

Cost of y carnations = 3y

We are given that she does not want to spend more than $45.

So, She can spend less than or equal to 45

So, required inequality :[tex]5x+3x \leq 45[/tex]

So, Option B is true

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Answer:

it would be 5x + 3y <= 45

Step-by-step explanation:

I literally just did this question on my math homework and I got it right .

Answer:

I'm not sure if you still need it but the answer is the third one.

Step-by-step explanation:

In order for a line to be parallel the lines need to have the same slope.

Answer:

The answer would be y=3/4X+9

Step-by-step explanation:

It must have the same slope since it is parallel, so

m = 3/4

y - y1 = m(x - x1)

y - 0 = (3/4)[x - (-4)]

y = (3/4)(x + 4)

Answer:

200,000 or 2000,000.0?

Step-by-step explanation:

Answer:200,000 = 2 x 10^5 fifteen thousand, eleven and sixty-seven thousandths?

Step-by-step explanation:

google hope this help you

Answer:

  B. an octagon

  C. a decagon

Step-by-step explanation:

A cube has six (6) plane faces, so any plane slice can intersect at most all 6 of those faces, creating a hexagon. No plane figure with more than 6 sides can be created by slicing a cube with a plane.

Cannot be created:

Williams earns $13

(h+3h)*13 = 4h*13 = $ 52h

Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help

Answer:

none

Step-by-step explanation:

57+75+95= 227

24+70+75= 169

48+64+80= 192

19+27+80=73

A right triangle equals 180 degrees.

Answer:

29

Step-by-step explanation:

Answer:

130.67

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: m=1    

Step-by-step explanation:

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Note: Options are not correct.

From the given information, in triangle RPQ

[tex]\angle QRP=40^\circ[/tex]

[tex]\angle RPQ=105^\circ[/tex]

[tex]\angle PQR=35^\circ[/tex]

In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side

Now,

[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]

[tex]RQ>QP>PR[/tex]

[tex]RQ>PQ>RP[/tex]

Therefore, the order from longest to shortest is RQ, PQ and RP.

Answer:

RQ, PQ and RP.

Step-by-step explanation:

Answer:

4,600

Step-by-step explanation:

92,000/8= 11500

11500 x 4= 46000 to his wife

11500 for the son

92000-57500= 34500

34500/5= 6,900 each charity

11500-6900= 4600 is how more he is getting than each charity

Answer:

4600 more money

Step-by-step explanation:

92000 ÷ 8 = 11500

1 part to his son

3(11500)= 34500

34500 ÷ 5 = 6900

11500-6900= 4600

Answer:

12

Step-by-step explanation:

If you were asking how many strawberries it would take to finish all 60, this is the answer, otherwise please rephrase the question.

If Charlotte ate 12 strawberries, you would have to do 12 x 4 which would be four times the amount of strawberries Charlotte ate, 12 x 4 = 48, Emily ate 48 strawberries, 48 + 12 = 60.

Charlotte eats 12 strawberries.

Let the amount of strawberries eaten by Charlotte be represented by x.

Since Emily eats four times the amount that Charlotte eats, then Emily will eat:

= (4 × x) = 4x.

Since Emily and Charlotte have a total of 60 strawberries, then this will be:

4x + x = 60

5x = 60

x = 60/5

x = 12

Therefore, Charlotte eats 12 strawberries.

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Answer:

Given

¯¯¯¯¯¯¯¯¯

D

A

C

is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,

∠

D

A

B

, is 105°, we can know that the other segment

∠

B

A

C

must equal 75, since

105

+

75

=

180

.

Once we've found the measure of

∠

B

A

C

to be 75°, and given the measure of

∠

A

C

B

to be 35, we can then find the measurement of

∠

A

B

C

.

Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.

75

+

35

+

m

∠

A

B

C

=

180

110

+

m

∠

A

B

C

=

180

m

∠

A

B

C

=

70

Answer:

The answer is 4 days

Step-by-step explanation:

If the final amount is 12.60 then you would decide that by 3.15 to get to 4 sense 3.15 • 4 would be 12.60

Answer:

C 11/3

Step-by-step explanation:

x - 4 + 3x = 8 - 2x + 10

4x - 4= -2x + 18

6x = 22

x = 3.67 -> 11/3

Answer:

C

Step-by-step explanation:

if you add the value if f(x) to t