First consider the system of equations y= -1/2x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x + 1 and y < x - 5. When comparing the number of solutions in each of these systems, which statement is true?

A. Both systems have an infinite number of solutions
B. The system of equations has more solutions
C. The system of inequalities has more solutions
D. Both systems have only one solution

Answers

Answer 1

Answer:

the answer is C, NOT B

Step-by-step explanation:

Answer 2

The system of inequalities will have more solutions than the system of equations , Option C is the corrrect answer.

What are Inequalities ?

Inequality is the relation between two unequal numbers or algebraic expression.

The inequality symbols are less than , greater than , less than equal to, greater than equal to.

It is given in the question that

the system of equations y= -1/2x + 1 and y = x - 5.

the system of inequalities y > -1/2x + 1 and y < x - 5.

x-5 = -1/2 x +1

2x+x=6*2

3x = 12

x = 4

x-5 >-1/2 x +1

x>4

The system of inequalities generally have more solutions and in this case definitely have more solutions than the system of equations.

To know more about inequalities

https://brainly.com/question/20383699

#SPJ2


Related Questions

6.203x4.5
Help pls asap

Answers

Answer:

27.9135

Step-by-step explanation:

I need to find the x pls help and show work I need to find the x pls help and show work 377373 so yeah A 73828 I need to find the x pls help and show work

what is the LCD of 1/3 and 1/4​

Answers

I think it’s 12

1/3 = 4/12
1/4 = 3/12

Hope it’s correct

If f(x)= 3^x+ 10x and g(x) = 4x-2 find (f-g)(x)

Answers

Answer:

u may need a calculator

Step-by-step explanation:

Triangle JKL, shown below, is translated 7 units to the right
then reflected across the x-axis.
у
+6
K
+51
4
J
VL
*3
*2
1
-6 -5 -4 -3 -2 -1 0
*1 2 3 4 5 6
1
2.
3
5 6
What will be the new coordinates of point J, after the
triangle has been transformed?

Answers

Answer:

dont known sorry

Step-by-step explanation:

In last Quiz, Ahmed answered 24 out of 30 questions correctly. In this quiz he answered 20 out of 24 questions correctly. On which quiz did Ahmed have better results?

Answers

Answer:

He scored better on the second test by a margin of 3%.

Step-by-step explanation:

Find the percentage of each one by dividing Ahmed's score / Total possible score

24/30 = 0.8 > move the decimal place over twice for % > 80%

20/24 = 0.83333 > move the decimal place over twice for % > 83%

He scored 3% better on the second test.

what is greater 9/3, 2 3/4​

Answers

Answer:

9/3 is greater

Step-by-step explanation:

Convert it to decimals.

9/3=3

2 and 3/4= 2.75

Can someone answer all of them please ;-;

Answers

No-8:-

[tex]\LARGE\leadsto\sf m \angle E=41°[/tex]

[tex]\LARGE\leadsto\sf m \angle F=41°[/tex]

No-9:-

[tex]\LARGE\leadsto\sf m \angle T=60°[/tex]

[tex]\LARGE\leadsto\sf m \angle V=30°[/tex]

No-10:-

[tex]\LARGE\leadsto\sf m\angle G =75°[/tex]

[tex]\LARGE\leadsto\sf m \angle H=60°[/tex]

[tex]\LARGE\leadsto\sf m \angle J=45°[/tex]

log(5t)(5t + 1) * log(5x+1) (5t + 2) * log(5t+2 )(5t + 3)... log(5t+n)(5t +n +1)​

Answers

I assume you're referring to the product,

[tex]\log_{5t}(5t+1)\cdot\log_{5t+1}(5t+2)\cdot\cdots\cdot\log_{5t+n}(5t+n+1)[/tex]

Recall the change-of-base identity:

[tex]\log_ab=\dfrac{\log_cb}{\log_ca}[/tex]

where c > 0 and c ≠ 1. This means the product is equivalent to

[tex]\dfrac{\log(5t+1)}{\log(5t)}\cdot\dfrac{\log(5t+2)}{\log(5t+1)}\cdot\cdots\cdot\dfrac{\log(5t+n+1)}{\log(5t+n)}[/tex]

and it telescopes in the sense that the numerator and denominator of any two consecutive terms cancel with one another. The above then simplifies to

[tex]\dfrac{\log(5t+n+1)}{\log(5t)}=\boxed{\log_{5t}(5t+n+1)}[/tex]

in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?

Answers

Answer:

Step-by-step explanation:

The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:

(remember that the word "of" generally means to multiply)

(also remember that we have to use the decimal form of a percent in an equation)

.40(x) = 1380 then divide to get the number of total workers:

x = 3450

Help! Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:

the equation is y=-x+8

A science fair poster is a rectangle 4 feet long and 3 feet wide. What is the area of the poster in square inches?
Be sure to include the correct unit in your answer.
in
in?
in?
G
Х
?

Answers

4x3=12 the poster is 12 feet^2 but now you have to convert it into inches. 12 inches=1 foot so you multiply 12x12 =144 so the poster is 144in^2

Solve each proportion.
2/8=5/r+8

Answers

Answer:

r=-20/31

Step-by-step explanation:

1)divide the numbers

2) subtract 8 from both sides of the equation

A trade-in is most closely related to which of the following?
a.
A down payment, because it reduces the amount financed.
b.
An interest payment, because it represents value given to the dealer.
c.
The list price, because it is derived from the price of a car.
d.
Amortization, because it is a way of paying for car financing.

Answers

Answer:c.

The list price, because it is derived from the price of a car.

Step-by-step explanation:

Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.)         ANSWER C

Answer: A. A down payment, because it reduces the amount financed.

Step-by-step explanation: I just took the quiz and got a 100%. Edge 2021

the length of a rectangle is three times its width ,if the width is x cm. write down an expression of length in term of x

Answers

Answer:

L = 3x cm

Step-by-step explanation:

For this problem, let's consider the relation that is stated:

Length is 3 times as much as the width.  The width is x cm.

Mathematically we can say the following:

L = 3W

W = x cm

So we can say the following about the length:

L = 3W

L = 3(x cm)

L = 3x cm

Cheers.

8(7q+6p+11) please help me

Answers

Answer:

56p + 48q + 88

Step-by-step explanation:

When you see parentheses in math, it usually means that you are distributing (multiplying).

So here you would multiply everything inside the parentheses by 8.

7q x 8 = 56q

6p x 8 = 48p

8 x 11 = 88

56q + 48p + 88

There are no like terms here so the answer cannot be simplified any further.

The mixed number 9 14/100 is equivalent to 9.14.

True or False?

ANSWER TO GET 20 POINTS

Answers

Your answer is True !:)

Answer:

true

Step-by-step explanation:

How many ounces are equal to 7 pounds?
1) 112 ounces
70 ounces
84 ounces
56 ounces
My Progress >

Answers

Answer:

112

Step-by-step explanation:

16 ounce multiply that by 7. 112. This correct i googed it

The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?

Answers

Answer:

60ft

Step-by-step explanation:

        multiple the length by 2

15 times two equals 30

       multiple the width by two

15 times two equals 30

       add the total lengths and widths

30 plus 30 equals 60

ans=60

A passenger train has 812 people seated. Eachtrain cars seat 70 people. How many train cars are filled? How many people are in car not full?

Answers

Answer:

10000sksiiwiwisisis

12 cars filled and 42 are in the car not full

What subfield of mathematics requires the most spatial reasoning?
No answer needed, just need to get rid of all my points.

Answers

Answer:

brainlest?

Step-by-step explanation:

......

Answer: I looked it up and got a couple of answers of spatial reasoning. Don’t know if that helps but yeah thats what I got lol

Step-by-step explanation:

BD = ED, CD = FD, Prove BC = EF

Answers

HL postulate is the answer

What are the coordinates of the red dot?
O (2,5)
10
(5,2)
O (-5,2)
-5
0 (-5,-2)
Explain your thinking.
K
-10
-5
0
6
10

Share with Class
- 10

Answers

Answer:

(5, 2)

Step-by-step explanation:

Coordinates of a point in a coordinate plane is usually written as (x, y). This point contains the value of x and its corresponding y value.

The red dot on the plane given, if you trace it down to the x-axis, it is at x = 5, while if you trace it horizontally against the y-axis, you'd have y = 2.

Therefore, the coordinates of the red dot is (5, 2).

7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20
find the outlier. explain your answer.

Answers

Answer:

29

Step-by-step explanation:

the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong

Cliff's Rentals rents out jet skis. The hourly charge is $50. Marcus rented a jet ski for 3 hours and paid $165.
Which equation can be used to determine the price, P, for h hours? Pls help me

Answers

Answer:

50h + 3 = 165P

Step-by-step explanation:

Solve for x.

0 ≤ 3x – 6 ≤ 18

Answers

Answer:

Inequality form: 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8

Interval Notation: [2,8]

Step-by-step explanation:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 ? x3 ? 72,000 dollars, selling how many items, x, will produce a maximum profit?.

Answers

Answer:

a. The number of units which will minimize average cost is approximately 5,130 units.

b. The firm should produce 12,500 items, x, for maximum profit.

c. The number of items, x, that will produce a maximum profit is 60 items.

Step-by-step explanation:

Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

The explanation to the answer is now given as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

Given;

C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)

We first simplify (0.02x + 6)^3 as follows:

(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)

First, we have:

(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36

Second, we have:

(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216

Therefore, we have:

C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)

C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200

Therefore, the average cost (AC) can be calculated as follows:

AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x

AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)

AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)

Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:

0.032x + 10.08 - (43,300 / x^2) = 0

0.032x + 10.08 = 43,300 / x^2

X^2 * 0.32x = 43,300 – 10.08

0.32x^3 = 43,189.92

x^3 = 43,189.92 / 0.32

x^3 = 134,968.50

x = 134,968.50^(1/3)

x = 51.30

Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:

x = 51.30 * 100 = 5,130

Therefore, the number of units which will minimize average cost is approximately 5,130 units.

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

P(x) = R(x) - C(x) ……………. (3)

Where;

P(x) = Profit = ?

R(x) = 450x-1/100x^2

C(x) = 500 + 200x

Substituting the equations into equation (3), we have:

P(x) = 450x - 1/100x^2 - (500 + 200x)

P(x) = 450x - 0.01x^2 - 500 - 200x

P(x) = 450x - 200x - 0.01x^2 - 500

P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)

Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:

250 - 0.02x = 0

250 = 0.02x

x = 250 / 0.02

x = 12,500 items

Therefore, the firm should produce 12,500 items, x, for maximum profit.

3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

Given;

P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)

Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:

3600 + 120x - 3x^2 = 0

Divide through by 3, we have:

1200 + 40x – x^2 = 0

1200 + 60x – 20x – x^2 = 0

60(20 + x) – x(20 + x) = 0

(60 – x)(20 + x) = 0

Therefore,

x = 60, or x = - 20

The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.

What is 0.76 as a fraction ?
76/100
76/10
76/1000
7/6

Answers

The percentage 0.76 when convert to fraction is: 76/100.

Conversion of percentage into quotient

0.76 is a percentage which represent 76% when multiply by 100 calculated as:

0.76×100

=76%

Now 0.76 as a fraction or quotient will be 76/100 in which the numerator is 76 and the denominator is 100 and when you divide 76 by 100 we would arrive at 0.76.

Inconclusion 0.76 as a fraction is: 76/100.

Learn more about fraction here:https://brainly.com/question/1713644

Help mehhhhhh please!!!!!!!!!!!!

Answers

The answer is A.multiply 3 * 6 and 3.6 * 5 and see if cross products are equivalent

PLEASE ANSWER QUICK 20 POINTS!!!!!

Answers

The first one (top left) is a function. Use the vertical line test, if a vertical line crosses the line drawn on the graph twice, then it's not a function.
The first one top left

for algebra 2 please help <3

Answers

Answer:

A. 1

Step-by-step explanation:

✔️To find f(g(1)), first find g(1).

From the mapping given for g(x), the corresponding value of x = 1, is 0.

That is,

g(1) = 0

✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1

Thus:

f(g(1)) = 3√0 + 1

f(g(1)) = 0 + 1

f(g(1)) = 1

Other Questions
It took Melanie of an hour to ride her bike 2 of a mile. How many miles per hour can Melanie ride her bike? do you build up endurance by spending more time doing a chosen exersize or physical activity? T or D 6.What is the political party of the President now, notthe President-Elect?a) Democratb) Green Partyc) Republicand) Whig richard and teo have a combined age of 42 richard is 12 years older than twos age how old are richard and teo Who else got stuck on a question and is NOT ready for test return at 2? its 1:58 AAAAAAA Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below. WHICH senctence from the passage uses hyperbole to persuade readers?A) Electoral College is a body of electors selected by the people in each state to officially choose the next presidentB) Every four years, millions of people head to the polls on election Dat to vote for a new presidentc) In this day and age, however, polling places are practically in the next room for most peopleD) A long time ago, Americans were scattered far and wide about the countryE) The number of members each state has in the electoral college depends on its population who was the target audience for the war bonds? wordly wise book 6 third edition anwser key PLZ HELP IT IS SCIENCE when sodium hydroxide dissolves in water is it A. physical change or B. chemical change the art of cave dwellers was crude and ____ What is the value of the expression when a = 5, b = 4 , and c = 6?4a/2bc25910 SOMEONE HELP ME WITH GEOMETRY PLEASE!!!!Find the coordinates of the orthocenter of the triangle with the given vertices.A(1, 2), B(9, 2), C(1, 3) To have an attractive table and a well-set table, which of the given statements below should be followed?Select one:a. The silver, china and glassware should not be placed in straight lines both lengthwise and across the table.b. Size is not important because the wrong size will look awkward.c. Table linen should be durable and serviceable, attractive and suited to other appointments, reasonably priced and easily laundered.d.The centerpiece should be higher for people to see each other across the table. Read this excerpt from a 1936 speech in which President Roosevelt unveils the second phase of the New Deal. Our vision for the future contains more than promises. . . . Of course we will continue to seek to improve working conditions for the workers of America. . . . Of course we will provide useful work for the needy unemployed. . . . Of course we will continue our efforts for young men and women so that they may obtain an education and an opportunity to put it to use. Of course we will continue our help for the crippled, for the blind, for the mothers, our insurance for the unemployed, our security for the aged. Of course we will continue to protect the consumer against . . . monopoly and speculation. Which claim about President Roosevelt does this excerpt best support? A)He thinks that the New Deal is simply a promise to the country. B)He intends for the New Deal to benefit all Americans in many ways. C)He proposes that education is the only path forward in the New Deal. D)He believes that the New Deal will only help the unemployed and people with disabilities. please answer this is a question you have to read the whole thing; I was listening to a song yellow flicker beat and i listened to a remake called flicker and i noticed the beginnings were different and i thought flicker tasted more like sand for some reason i tasted sand i have no idea why, if you know why please tell me Use the figure to find the measure of the angle.Explain your reasoning. Cells work ALONE and do not depend on each other to function. True or False? hELPpPP plSSSS When tobacco burns, it produces a thick, sticky, dark fluid known as What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)