49. Use the system of inequalities below to complete part A through part C.
3x + y >= - 1
2y - 4 > 3x
Part A) Graph the system of inequalities and shade the solution set.
Part B) Is the point (1, 3) a solution to the system? Why or why not?
Part C) Determine 3 points that ARE solutions to the system.
Part D) Determine 3 points that ARE NOT solutions to the system.​

Answer:

-4[tex]p^{4}[/tex] + [tex]12p^{3}[/tex] - 5[tex]p^{2}[/tex]

Step-by-step explanation:

[tex]-8p^{4}[/tex] + [tex]12p^{3}[/tex] + [tex]4p^{4}[/tex] - [tex]8p^{2}[/tex] + [tex]3p^{2}[/tex]  Combine the terms with the same exponents

([tex]-8p^{4}[/tex] + [tex]4p^{4[/tex]) + [tex]12p^{3}[/tex] + ([tex]-8p^{2}[/tex] + [tex]3p^{2}[/tex])

[tex]-4p^{4}[/tex] + [tex]12p^{3}[/tex] - [tex]5p^{2}[/tex]

Answer:

40 people

Step-by-step explanation:

25% = 10

50% = 20

100% = 40

The interval where the cosine function is increasing is (π, 2π).

The cosine function for the interval (0, π/2) gives

cos(x) = cos(0) = 1

cos(x) = cos(π/2) = 0

So, the value of the function is decreasing in this interval.

Then, for the interval (0, π), it gives

cos(0) = 1; cos(π) = -1

So, the value of the cosine function is decreasing in this interval.

Then, for the interval (π/2, 3π/2), it gives

cos(π/2) = 0

cos(π) = -1

cos(3π/2) = 0

So, the value of the function decreases up to x = π and then increases up to the same value as before i.e., cos(π/2) = cos(3π/2).

Then, for the interval (π, 2π), the cosine function gives

cos(π) = -1

cos(2π) = 1

Thus, the cosine function in this interval increase from -1 to 1.

Therefore, in the interval (π, 2π), the cosine function is increasing.

This is explained by using a unit circle below:

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Answer:

D

Step-by-step explanation:

got it right

The equation the represent the event of taking Mrs. Evans taking 9 students to an amusement park and Mr. Sanchez is taking 14 students to a water park is

The problem is solved using simultaneous equation, the equations required is derived as follows:

Amusement park

Admission: $2x per student

Ride Fee: $3.00

Mrs. Evans is taking 9 students to an amusement park

9($2x + $3.00)

Water park

Admission: $x per student

Ride Fee: $4.50

Mr. Sanchez is taking 14 students to a water park

14($x + $4.50)

The total cost is the same for both groups of students

9($2x + $3.00) = 14($x + $4.50)

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when N is divided by 8, the result is greater than 5 the least possible integer value of N is 48.

Zero, a positive natural number, or a negative integer with a minus sign are all examples of integers. The additive inverses of the positive numbers are the negative numbers. The boldface Z is frequently used in mathematics to denote the set of integers.

the least possible integer greater than 5 is 6,

and when 6 × 8 = 48 thus,

the least possible integer value of N is 48.

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The least expensive per pound is Customer A.

It should be noted that expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The rate for the first customer will be:

= $14.50 / 1.75

= $8.29 per pound.

The second Customer rate will be:

= $26.25 / 2.5

= $10.5 per pound

The third Customer will be:

= $5.50 / 0.375

= $14.47 per pound.

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Answer:25

Step-by-step explanation:

3

5

To calculate how much they ate between the two of them, the amounts each ate must be added:

[tex]\begin{gathered} \sf \frac{3}{8} + \frac{4}{16} = \\ \\ \sf\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16} = \\ \\ \sf\frac{6 + 4}{16} = \\ \\ \sf \frac{10}{16} = \red {\boxed{ \sf \frac{ \green5}{ \green8} }}\end{gathered}[/tex]

Therefore, between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Merry Christmas and Happy New Year

To calculate how much they ate between the two of them, the amounts each ate must be added:

[tex]\begin{gathered}\begin{gathered} \bold{ \frac{3}{8} + \frac{4}{16}} \\ \\ \bold{\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16}} \\ \\ \bold{\frac{6 + 4}{16}} \\ \\ \bold{ \frac{10}{16} }= {\boxed{ \sf \frac{ \bold5}{ \bold8} }}\end{gathered}\end{gathered} [/tex]

[tex]\therefore[/tex] Between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Find the common denominator, which is the least common multiple of the denominators.

Divide the common denominator by the other denominator and multiply by the numerator.

Write the results obtained above as numerators with the Sign of the sum between them.

Answer:

$24.95

Step-by-step explanation:

2.99 times 4 is 11.96, and you would add that with 12.99 to get 24.95.

Answer:

Jaylen have left 23.05 $

Step-by-step explanation:

5 pounds of apples =  12.99 $

4  cupcakes             = 2.99 $/apple

Total money = 48 $

All the cupcakes costs = 4*2.99 = 11.96 $

Then she bought in total:

48 -(12.99 + 11.96)

48 - 24.95 = 23.05

it has one solution

.............................

Required equation of points plotted on graph relating range gain(k) and charging time(t) is k=4t.

A two-variable linear equation is one in which both variables have exponent 1.

An object in geometry known as a line is simply one that is described as being straight, thin, one-dimensional, zero width, and extending on both sides to infinity.

In essence, a straight line is just a line devoid of any bends.

Additionally, we can state that any line that crosses two certain points on the same plane will be singular.

Straight line form

m= y 2. – y 1/x 2-x 1

y-y 1=m (x-x 2)

A (0,0) and B (5,20)

([tex]x_{1}[/tex],[tex]y_{1}[/tex]  ) = (0,0) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) = (5,20)

m = 20-0/5-0

   = 20/5

   = 4

([tex]x_{1}[/tex],[tex]y_{1}[/tex]  ) =(0,0)

y-0=4(x-0)

y=4x

Replace y with k and x with t

k=4t

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Answer:

Your question choices are messed up fix and I can help

Step-by-step explanation:

:)

Answer:

4. 4/3

Step-by-step explanation:

(-2, -3)   (1,1)

1+3/1+2=

4/3

The conjugate of the expression (-3 + 8i) is (-3 - 8i)

From the question, we have the following parameters that can be used in our computation:

(-3 + 8i)

The above expression is a complex number

A complex number is represented as

a + bi

Such that its conjugate is a - bi

This means that we simply negate the imaginary part

So, we have

Expression = (-3 + 8i)

Conjugate = (-3 - 8i)

Hence, the conjugate is (-3 - 8i)

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Answer:

The small box can hold 4 to 6 lbs, so it can hold the 3.1 lb book and 2.4 lb book. The large box can hold 8 to 9 lbs, so it can hold the 3.1 lb book, but not the 2.4 lb book.

Step-by-step explanation:

Answer:

a) yes

b) yes

c) no

d) yes

Step-by-step explanation:

-2 + 5 = 3

5-2 = 3

-2 - (-5) = -2 + 5 = 3

-2 - 5 = -7

5 + (-2) = 5-2 = 3

Answer:

a)  4,000 meters

b)   - 56.25% (or -56% with 2 sig figs

Step-by-step explanation:

Calculate the total distance Ahmad jogged on both days.  This will require a conversion unit to make the distances the same units.

Sat.:  3200 m

Sun:       1.8 km

(1,000m/km)

(1.8km)*(1,000 m/km) = 1,800 m jogged on Sunday

Total distance jogged = 3,200 m + 1,800 m = 4,000 meters total jogged

a)  Percentage jogged on Saturday:

 (3,200 m)/(4,000 m) = 0.80 or 80%

b)  Percentage Decrease (From Saturday to Sunday):

    Sat:  3200 m

    Sun: 1800 m

Difference = 1400 m (decrease)

Percentage Decrease = (1800/3200) = 56.25%

Ahmad's distance on Sunday was a 56.25% decrease from Saturday.

Answer:

(x + 8)^2 + y^2 = (x - 8)^2

Step-by-step explanation:

Simplifying

2x + 5y = 2

Solving

2x + 5y = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

2x + 5y + -5y = 2 + -5y

Combine like terms: 5y + -5y = 0

2x + 0 = 2 + -5y

2x = 2 + -5y

Divide each side by '2'.

x = 1 + -2.5y

Simplifying

x = 1 + -2.5y

Simplifying

5X + 10y = 17

Solving

5X + 10y = 17

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-10y' to each side of the equation.

5X + 10y + -10y = 17 + -10y

Combine like terms: 10y + -10y = 0

5X + 0 = 17 + -10y

5X = 17 + -10y

Divide each side by '5'.

X = 3.4 + -2y

Simplifying

X = 3.4 + -2y

Answer: [tex]-\frac{23}{2}h+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{7}{2}h-15h+\frac{3}{2}\\\\\frac{7}{2}h-\frac{30}{2}h+\frac{3}{2}\\\\-\frac{23}{2}h+\frac{3}{2}[/tex]

Answer: [tex]x\leq 0[/tex]

Step-by-step explanation:

The first thing we need to do is to make the argument or the number inside the square root equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x that is less than or equal to zero.

Answer: f = p * (1 + r) ^ n

f is the future value.

p is the present value.

r is the interest rate per time period.

n is the number of time periods.

time periods are months.

rate is the percent divided by 100.

p = 100

r = 6% per year / 12 = .5% per month / 100 = .005 per month.

n = 2 years * 12 = 24 months.

formula becomes f = 100 * (1 + .005) ^ 24

solve for f to get:

f = 112.7159776 = 112.72

that's how much Danny will be able to spend on the bike in 2 years.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Therefore the solution for this question is  the unit price of each pair of gloves is $7.99.

One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction round out the list of operations.

Here,

The cost of 6 pairs of gloves  = $47.94

Now, the unit price = Price per unit of the given item

Let x be the unit price of the glove

thus

x=47.94/6

x=7.99

or it can be written as price of glove=$7.99

Therefore, Unit price of the glove = $7.99

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The mass of the sixth boy is 80 kilograms.

It's important to note that a mean simply means the average of a set of numbers that are given. In this situation, the average mass of 5 boys is 50 kilograms. The total mass will be:

= 50 × 5

= 250 kilograms

In this case, when another boy’s mass is added and the average goes to 55 kilograms. The total mass will be:

= 55 × 6

= 330 kilograms.

The average mass of the last boy will be:

= 330 - 250

= 80 kilograms

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Complete questions

The average mass of 5 boys is 50 kilograms. Another boy’s mass is added and the average goes to 55 kilograms. What was the mass of the sixth boy?

If you currently hold a learner's permit, you must complete 50 hours of practice driving under supervision, including at least 15 hours after dusk, before you may take a road test to get a class e license.

The candidate receives a learner's license after passing a written or online exam that assesses his understanding of traffic laws.

Thus, if you currently hold a learner's permit, you must complete 50 hours of practice driving under supervision, including at least 15 hours after dusk, before you may take a road test to get a class e license.

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a. The given sequence is not an arithmetic sequence.

b. The distance a falling body covered in t = n seconds of movement is 5n²meters.

What is the distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Here, we have

a. A sequence can be said arithmetic sequence if the difference between any two consecutive terms remains the same.

In this case, the difference between 20 and 5 is 15, and the difference between 45 and 20 is 25, this shows that the difference between two consecutive terms is not the same.

Hence, it can be said that the given sequence is not an arithmetic sequence.

b. To evaluate the distance covered by the body in “n” seconds, Substitute t=n in d(t) then d(n) will represent the distance covered by the body in “n” seconds

d(n)=1/2 g(n)²

d(n) = 1/2(10)(n)²

d(n) = 5n²meters

Hence, the distance a falling body covered in t = n seconds of movement is 5n²meters.

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The solution to the inequality, 1/2x - 3 < -1 3/8, is x < 13/4. See the graph below.

Given the inequality, 1/2x - 3 < -1 3/8, solve to find the value of x, which is the solution to the inequality.

1/2x - 3 < -1 3/8 [given]

1/2x - 3 < -11/8

Add 3 to both sides of the equation:

1/2x - 3 + 3 < -11/8 + 3 [addition property of equality]

1/2x < 13/8

Multiply both sides by 2:

1/2x * 2 < 13/8 * 2 [multiplication property of equality]

x < 13/4

The solution to this inequality, x < 13/4 is given in the graph below.

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Answer:

Step-by-step explanation:

Use the given functions to set up and simplify 6/8.

4 =

6/8 = 3/4

1/5 mi/hr mulitplied by 1 hr = 1/5 mi

Answer:

Step-by-step explanation:

I don't see a graph from which to choose.  Are the brackets in "[x+1]" supposed to be parentheses, or are they absolute value signs?

The graph of functions

(F(x) = (x+1), and

(F(x) = |x+1| are both attached.