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.

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Related Questions

I need help with this question pleaseeee

Answers

Answer: 639

Step-by-step explanation:

i might be wrong but that's how i was taught! :)

What does x = if x multiplied by 7/3 = 1

Answers

Answer:

Step-by-step explanation:

X×7/3 =1

X=3/7

Find the greatest common factor of the terms in the following expression 18x+12xy​

Answers

Answer:   6x

=============================================

Explanation:

Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values

18 = 6*312 = 6*2

Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.

Note how

18x + 12xy = 6x*3+6x*2y = 6x(3+2y)

Showing we can factor out the GCF using the distributive property.

Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $8.66. For Account B, the simple interest eamed after 33 months is $34.65. If the interest rate is 3.3% for Account A and 2.1% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $. (Round to the nearest dollar as needed.)​

Answers

Step-by-step explanation:

you have to defend saving account for account a decent wages and after 24 months in 26 is how can be the same creatures and after 30 months 34.6 $5 if the interest rate is 3.0% for accounting and private beach FL County how much is the first create account which account NG the most interesting person explain how the agency has baseball first round to the nearest Dollar is in the car so this guy if you know you know the one you want me to answer you come and tell me stop doing on since that was your own I mean if you have the correct answer you I hate you have to correct question because I can't see the question to answer because I just sold if interested to 2502 I can't see the real question here thank you

if the temperature drops from 7f to -17f how much did the temperature decrease​

Answers

Answer:

there was a decrease of 24 degrees.

Step-by-step explanation:

7-24=-17

Answer:

there was a decrease of 24 degrees.

Step-by-step explanation:

7-24=-17

i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))

Answers

Im sure it's -3    Because well thats what  i got

The sum of two numbers is 22 their difference is 4

Answers

Answer:

x=13

Step-by-step explanation:

ok so let x+y=22

--------------------------------------------------------

x and y are the 2 unkown Number

-------------------------------------------

x-y=4

their difference is 4

----------------------------------

add both equations

(x+y=22)

+(x-y=4)

------------------------------

y's cancel out

-----------------------

2x=26

-----------------

x=13

Sum: 13+9=22
Difference: 13-9=4

x-y=4
x=4+y

x+y=22
4+y+y=22
4+2y=22
2y=18
y=9

x+y=22
x+9=22
x=13

help asap plspls!! :)

Answers

Answer:

1/6

Step-by-step explanation:

1/3 ÷ 2 = 1/6

All you do is multiply the denominator by 2. This sounds incorrect, but my making the denominator lager it actually is shrinking the fraction and ultimately making it smaller than before.

Answer:

1/3÷2=1/6

Result in decimals: 0.16666666666667

Solve the inequality​

Answers

Answer:

x<2

Step-by-step explanation:

5x+10>14x-8

18>9x

2>x

x < 2 hope that helps

Which expression shows the prime factorization of 30?
2 x 3 x 5

3 x 5 x 7

3 x 5 x 5

2 x 2 x 3

Answers

A: 2 x 3 x 5
Hope I helped :)

Answer:

A

Step-by-step explanation:

because 2x3 equals 6

then 6x5 equals 30

( i did the math for the other ones and its a;)

-3/10h = 15, what is h?

Answers

Multiply both sides by 10h
-3/10h * 10h = 15 * 10h
-3 = 150h
h = -1/50

Answer:

-50

Step-by-step explanation:

PLEASEEEEE HELP ME IF YOU GET THIS QUESTION!!

Answers

Answer:

one and a quarter mile

please can i have brainliest

What is the slope and the y-intercept of the line on the graph below?

b=

m=

Write an equation for this line in slope-
intercept form (y=mx+b).





Answers

Answer:

b=1

m=1/4

y=1/4x+1

Step-by-step explanation:

m is the slope, b is the y-intercept

What are the x and y intercept.

Answers

Answer:

x-intercept is 6 y-intercept is -3

Step-by-step explanation:

It's really simple to graph it especially if you have something that does it for you however when you graph it-it's pretty clear which ones it is so I suggest graphing it.

A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?

Answers

Answer:

8 thats how many pies and cakes you can do

Step-by-step explanation:

you have 20 minutes and 10 and the most cakes you can get with left over is 8

The pies and cakes should be made to maximize profits is 8 pies.

What is profit?

Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.

Revenue minus costs equals profit.

Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.

The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.

Thus, the pies and cakes should be made to maximize profits is 8 pies.

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Find the ratio of 2p per gram to £2.12 per kilogram

Answers

Answer:

the answer is 1.06

Step-by-step explanation:

Jack borrowed $1.50 from his friend Jenna every day for five days last week. What rational number represents how much Jack owed his friend last week?

Answers

Answer:

$7.50

Step-by-step explanation:

set up an equation: $ x days = total owed

1.50 x 5 = 7.50

Please answer a and b, I will give brainliest!!!!!

Answers

Answer:

b

Step-by-step explanation:

because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)


Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons

Answers

Answer:

can u show me a pic of the question so it is easier

The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.

What is a ratio?

The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.

Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.

From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.

∴ 5 : 3 : : 30 : x.

Or

5/3 = 30/x.

5x = 90.

x = 18.

So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.

learn more about ratio here :

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The expression 2x + 3.4 is equal to ? for x =1.6.

Answers

Answer:

6.6

Step-by-step explanation:

Could I get some help it’s important

Answers

Answer: yo plug it into desmos its ez

Step-by-step explanation:

Answer:

plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.

Step-by-step explanation:

The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)


Find the angle of rotation about the center of the square that maps A to C.

Answers

The angle of rotation to map A into C is 180°.

How to find the angle of rotation?

The rotation is around the center of the square. Let's assume that the center coincides with the origin of a coordinate axis.

Then we would have A on the second quadrant and C on the fourth quadrant.

Then we need to apply a rotation of two quadrants, remember that each quadrant has an angle of 90°, then a rotation of two quadrants has an angle of 2*90° = 180°.

The correct option is 180°.

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Show me the steps to solving this equation. 3x + 2 = 14

Answers

Answer:

4

Step-by-step explanation:

multiply 3 by 4 to get 12 and add 12 to 2 and you get 14

PLEASEEE HELP ME PLEASEE!!

Answers

the 3rd one i’m pretty sure

A one story house is 2,200 square feet. 40% of the house has a basement. How many square feet is the basement?

Answers

Answer:

880 ft²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2,200 ft²

40% (0.4) of the house is basement

Step 2: Evaluate

Set up:                    2200(0.4)Multiply:                  880

Here we see that 880 ft² out of the 2200 ft² would represent the allocated space for the basement.

Answer:

880 square feet

Step-by-step explanation:

Full story = 2200 square feet

Basement = 40% of the story

Basement is:

2200*0.4 = 880 square feet

The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.

Answers

Answer: The numbers are:

965

875

785

695

Step-by-step explanation:

We have a 3 digit number that can be written as:

a*100 + b*10 + c

Where a, b, and c are single-digit numbers.

a is the hundreds

b is the tens

c is the unit.

We know that:

"The sum of the tens digit and the hundreds digit of a number is three times the units digit."

a + b = 3*c

" 1/5 of the sum of all three digits is 1 less than the units digit."

(a + b + c)/5 = c - 1

Then we have the two conditions:

a + b = 3*c

(a + b + c)/5 = c - 1

From the first one, we can write:

(a + b)/3 = c

Replacing that in the other equation we get:

(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1

(4/3)*(a + b)/5 = (a/3 + b/3) - 1

(4/15)*(a + b) = (a + b)/3 - 1

(4/15)*(a + b) - (a + b)/3 = - 1

-(1/15)*(a + b) = -1

a  = 15 - b

Then we can give different values for b, and find the values of a and c, where a and c must be positive.

b = 9

a = 15 - 9 = 6

Then:

c = (9 + 6)/3 = 5

(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).

This number will be:

695.

if b = 8, then:

a = 15 - 8 = 7

and c = 5, same as before.

the number is 785.

If b = 7, then:

a = 15 - 7 = 8

The number is 875

if b = 6, then:

a = 15 - 6 = 9

The number is:

965

Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8

Answers

Answer:

y-2=1/8(x+5)

Step-by-step explanation:

1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.

Since it's -8, the opposite of it is 1/8.

2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.

y-2=1/8(x+8)

And that's your answer

PLZ ANSWER WILL MARK BRAINLIEST​

Answers

Answer:

I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps

Step-by-step explanation:

Answer - side side side

write a polynomial equation for each set of roots 5 and 7

Answers

Answer:

x²-2x-35

Step-by-step explanation:

(x-7)(x+5)

x²+5x-7x-35

x²-2x-35

Anybody can help me with this one?

Answers

The point would be (9,1)

Answer:

look pic

Step-by-step explanation:

the -1/4 is the slope and 5 is where you start

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