Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y > 3x + 10
y < -3/4x - 1

Part A: Describe the graph of the system, including shading and the type of lines graphed. Provide a description of the solution area.

Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically.

Answer:

130°

Step-by-step explanation:

Angle 50° underneath is the same as the missing angle next to x.

In a straight line , angles add up 180°. So 180°-50° gives 130°

I hope this helped you out.

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Answer:

In 3 hours, they will be 18 miles apart.

Step-by-step explanation:

Given that:

Speed of Mr. Irvine = 77mi/h

Speed of Mr. Babyak = 71mi/h

Distance to be apart = 18 miles

Let,

t be the time.

We will subtract the speeds as both the cars are driving in the same direction.

Distance = Speed * Time

18 = (77-71)t

18 = 6t

6t = 18

Dividing both sides by 6

[tex]\frac{6t}{6}=\frac{18}{6}\\t=3[/tex]

Hence,

In 3 hours, they will be 18 miles apart.

Answer:

.07

Step-by-step explanation:

Answer:

When solving, you will get a false statement, and therefore there is no solution.

Step-by-step explanation:

Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:

[tex]4x + 5 = 4x - 2\\5 = -2[/tex]

In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.

two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no  intersection point.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given wo lines are y = 4x+5 and y = 4x – 2

These two lines are parallel because there slope is 4 for both.

Let us solve these two equations algebraically to find out intersection point.

4x+5=4x-2

5=-2

Since 4x is cancelled on both sides and has no x variable means there is no intersection point.

Hence for two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no  intersection point.

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Answer:

The domain of T is {5, -7, 4, 1} and the range is {5, -7, 4, 1}

Step-by-step explanation:

In the relation of a set of ordered pairs R = {(x, y)}

∵ The relation T is defined as follows, T= {(5, 5), (-7, 4),(4, 0), (1, -4)}

∵ The first number in each ordered pair represents x

∴ x = 5, -7, 4, 1

∴ The set of values of x = {5, -7, 4, 1}

∵ The domain of the relation is the set of values of x

∴ The domain of T = {5, -7, 4, 1}

∵ The second number in each ordered pair represents y

∴ y = 5, 4, 0, -4

∴ The set of values of y = {5, 4, 0, -4}

∵ The range of the relation is the set of values of y

∴ The range of T = {5, -7, 4, 1}

Answer:

A. 29 Is the prime number.

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Answer:

11.62%

Step-by-step explanation:

Calculation for What must the expected return on this stock be

Using this formula

Expected return=Risk-free rate+(Expected market return -Risk-free rate)*Beta

Let plug in the formula

Expected return=4.6%+(10%-4.6%)*1.30

Expected return=4.6%+(5.4%*1.30)

Expected return=0.046+0.0702

Expected return=0.1162*100

Expected return=11.62%

Therefore What must the expected return on this stock is 11.62%

Answer:

m^3 - 2m^2/5 + 5m/7 - 2/7

Step-by-step explanation:

Here, we want to expand the given expression

We have;

m^2(m-2/5) + 5/7(m-2/5)

= m^3 - 2m^2/5 + 5m/7 - 2/7

Answer:

12 units²

Step-by-step explanation:

AB = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex] = [tex]\sqrt{(0-3)^2 +(0-3)^2}[/tex] = 3√2

BC = [tex]\sqrt{(5-3)^2 +(1-3)^2}[/tex] = 2√2

[tex]A_{ABCD}[/tex] = AB × BC = 3√2 × 2√2 = 12 units²

Answer:

So I did the assignment, and the answer that you're looking for in this problem would be 12.

Answer:

I added the graph

Answer:

y = 2/9

Step-by-step explanation:

Answer:

48 times

Step-by-step explanation:

From the above question, we know that:

2 times = 1 kg of fertilizer

A crop requires 24 kg of fertilizer

Hence:

1 kg of fertilizer = 2 times

24 kg of fertilizer = x

Cross Multiply

x = 24 kg × 2 times/1 kg

x = 48 times

She need to fill the flask 48 times to make the required amount of fertilizer for the crop

Answer:

he starts with 22 eats 2

22-2=20

he can give each friend 4 cookies because 4*5 is 20

Answer:

We notice about these areas that:

All areas are perfect squares ⇒ 1st

The sum of the areas of the two smaller squares is equal to the area of the larger square ⇒ 3rd

Step-by-step explanation:

Let us solve the question

∵ The perfect square number is the product of a number and itself

∵ The areas of given squares are 25 m², 9 m², and 16 m²

∵ 25 = 5 × 5, 9 = 3 × 3, 16 = 4 × 4

∴ 25, 9, and 16 are perfect squares

∴ All areas are perfect squares

∵ 9 m² and 16 m² are the areas of the two smaller squares

∵ 9 m² + 16 m² = 25 m²

∵ The area of the larger square is 25 m²

∴ The sum of the areas of the two smaller squares is equal to the area

   of the larger square

Answer:

5.25 x 40 = 210

210 + 310.50 = 520.5 \0

his total earning is 520.50

Step-by-step explanation:

Answer:

The 10th term will be:

t₁₀ = 39366

Step-by-step explanation:

Given the sequence

tₙ = -3 tₙ₋₁

Given

t₁ = -2

substitute n = 2, to determine the 2nd term

tₙ = -3 tₙ₋₁

t₂ = -3 tₙ₋₁

t₂ = -3 t₂₋₁

t₂ = -3 t₁

t₂ = -3 × -2        ∵ t₁ = -2

t₂ = 6

substitute n = 3, to determine the 3rd term

tₙ = -3 tₙ₋₁

t₃ = -3 t₃₋₁

t₃ = -3 t₂

t₃ = -3 × 6        ∵ t₂ = 6

t₃ = -18

substitute n = 4, to determine the 4th term

tₙ = -3 tₙ₋₁

t₄ = -3 t₄₋₁

t₄ = -3 t₃

t₄ = -3 × -18       ∵ t₃ = -18

t₄ = 54

substitute n = 5, to determine the 5th term

tₙ = -3 tₙ₋₁

t₅ = -3 t₅₋₁

t₅ = -3 t₄

t₅ = -3 × 54      ∵ t₄ = 54

t₅ = -162

substitute n = 6, to determine the 6th term

tₙ = -3 tₙ₋₁

t₆ = -3 t₆₋₁

t₆ = -3 t₅

t₆ = -3 × -162      ∵ t₅ = -162

t₆ = 486

substitute n = 7, to determine the 7th term

tₙ = -3 tₙ₋₁

t₇ = -3 t₇₋₁

t₇ = -3 t₆  

t₇ = -3 × 486      ∵ t₆ = 486

t₇ = -1458

substitute n = 8, to determine the 8th term

tₙ = -3 tₙ₋₁

t₈ = -3 t₈₋₁

t₈ = -3 t₇  

t₈ = -3 ×  -1458      ∵ t₇ = -1458

t₈ = 4374

substitute n = 9, to determine the 9th term

tₙ = -3 tₙ₋₁

t₉ = -3 t₉₋₁

t₉ = -3 t₈  

t₉ = -3 ×  4374      ∵ t₈ = 4374

t₉ = -13122

substitute n = 10, to determine the 10th term

tₙ = -3 tₙ₋₁

t₁₀ = -3 t₁₀₋₁

t₁₀ = -3 t₉  

t₁₀ = -3 × -13122     ∵ t₉ = -13122

t₁₀ = 39366

Therefore, the 10th term will be:

t₁₀ = 39366

Answer:

$840

Step-by-step explanation:

Callies family spends an average of $70 per month electric. At that rate what can that family expect to pay electric for 1 year

Note that:

1 year = 12 months.

Hence, if:

1 month = $70

12 months = $x

Cross Multiply

$x = 12 × $70

$x = $840

Therefore, the amount that family can expect to pay in 1 year(12 month) for electric = $840

Answer:

1400

Step-by-step explanation:

700 x 2 is 1400

So just multiply 700 times 2 and there's your answer

Answer:

1400 miles

Step-by-step explanation:

1 hour------ 700 miles

2 hours---- X

X= 700 x 2

X= 1400

Answer:

Step-by-step explanation:

first, let us mark the two equations as i and ii

2x+ 3y = 7

or, 2x = 7-3y

or, x = (7-3y) ÷ 2.........................(i)

and let 4x-5y= 25............(ii)

Now, put the the value of x from (i) into (ii)

4[(7-3y) / 2] -5y = 25

2(7-3y) -5y = 25

14- 6y - 5y = 25

-11y = 11

y = -1

Now, put y = -1 back in (i)

x = (7-3y)/2

x = 10 /2

x = 5

Answer:

the total is $10.55

Step-by-step explanation:

(7x1.25) + 1.08= 10.55

Answer:

• The closing of the frontier• The closing of the frontier

Step-by-step explanation:

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Answer:

less than, are not

Step-by-step explanation:

n/a

Answer:

Greater than, are not

Step-by-step explanation:

Answer:

-2(x+1)

Step-by-step explanation:

The number of cups of coffee restaurant sold for 40 glasses of orange juice had been sold is 48.

The word "proportion" generally refers to an amount that is divided into parts or shares. Two ratios are in proportion when they are equal, as stated by the definition of proportion. An equation or a statement that says anything to that effect means that two ratios or fractions are equal.

Given that, the D-Town restaurant sold 12 cups of coffee for every 10 glasses of orange juice.

So, the ratio of cups of coffee to glasses of orange is 12:10

The restaurant have sold 40 glasses of orange juice.

Let c number of coffee cups are sold for 40 glasses of orange juice.

So, the ratio is c:40

Then, the proportion (ratios are equal) is 12:10::c:40

10c=480

c=48

Therefore, the number of cups of coffee restaurant have sold for 40 glasses of orange juice had been sold is 48.

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Answer:

RT = 10

Step-by-step explanation:

Since, U and V are the midpoints of the segments RS and ST respectively.

Therefore,

By Mid-segment Theorem:

RT = 2UV

4x - 22 = 2(10x - 75)

4x - 22 = 20x - 150

150 - 22 = 20x - 4x

128 = 16x

128/16 = x

8 = x

x = 8

RT = 4x - 22 = 4*8 - 22 = 32 - 22 = 10

So first, we're gonna split these into their own little sections.

If Duncan drove 30 mph for 20 minutes, we need to think about the time for now. One hour is 60 minutes, and 20 minutes is 1/3 of an hour. If it's 30 miles per hour, then we'd need to split that into thirds to give it the twenty minute value, so in twenty minutes he drove 10 miles.

For the second part, we're gonna do the same thing. 40 mph in twelve minutes. 60 divided by 12 is 5. Then split the 40 mph into fifths. 40 / 5 = 8. Every twelve minutes, he drove 8 miles.

Add 10 and 8, and he drove a total of 18 miles to get home.

Answer:

Its D all you have to do is times it.....

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i'll be your friend