How many solutions does this system have!

y = 3x + 5
y = -x + 4

a. one
b. two
c. infinite number
d. no solution

Answers

Answer 1

Answer:x=-14y=174


y=3x+5,y=-x+4


3x+5=-x+4



There are infinite number of solutions!





Move all terms containing

x

x to the left side of the equation.

Tap for more steps...

4

x

+

5

=

4

4x+5=4

y

=

x

+

4

y=-x+4

Move all terms not containing

x

x to the right side of the equation.

Tap for more steps...

4

x

=

1

4x=-1

y

=

x

+

4

y=-x+4

Divide each term by

4

4 and simplify.

Tap for more steps...

x

=

1

4

x=-14

y

=

x

+

4

y=-x+4

Replace all occurrences of

x

x with the solution found by solving the last equation for

x

x. In this case, the value substituted is

1

4

-14.

x

=

1

4

x=-14

y

=

(

1

4

)

+

4

y=-(-14)+4

Simplify the right side.

Tap for more steps...

x

=

1

4

x=-14

y

=

17

4

y=174

The solution can be shown in both point and equation forms.

Point Form:

(

1

4

,

17

4

)

(-14,174)

Equation Form:

x

=

1

4

y

=

17

4

x=-14y=174


Related Questions

three students ordered wings that cost $21 and french fries for 6$. If they split the bill equally how much did each student pay

Answers

The total is $21 + $6 or $27.


There are 3 students.


Let p = how much each student will pay


p = $27 ÷ 3 students


p = $9


Each student will pay $9.


The answer is $9 each

Which of the following is the binomial factor in the factorization of m ^15 - 1,000?
m5 - 10
m5 + 10
m5 + 100
m3 + 10

Answers

[tex]Use\ (a^n)^m=a^{nm}\ and\ a^3-b^3=(a-b)(a^2+ab+b^2).\\\\m^{15}=m^{5\cdot3}=(m^5)^3\\\\m^{15}-1,000=(m^5)^3-10^3=(m^5-10)[(m^5)^2+(m^5)(10)+10^2]\\\\=(m^5-10)(m^{10}+10m^5+100)\\\\Answer:\ \boxed{m^5-10}[/tex]

Final answer:

The binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000 is [tex]m^{5}[/tex] - 10

Explanation:

To find the binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000, we should recognize this expression as a difference of two powers. Both [tex]m^{15}[/tex] and 1,000 (which is the cube of 10, or 103), can be written as a power of their respective bases. We can factor this expression using the difference of cubes formula, which states that [tex]a^{3}[/tex] - [tex]b^{3}[/tex] = (a - b)([tex]a^{2}[/tex] + ab + [tex]b^{2}[/tex]). Applying this formula, we look for a cube of m that matches one of the options provided. The closest match here is [tex](m^{5})^3[/tex] [tex]-10^{3}[/tex], which gives us the factor of ([tex]m^{5}[/tex] - 10). Therefore, the binomial factor is [tex]m^{5}[/tex] - 10.

The speed of light is 3x10^5 kilometers per second. What is that in standard form?

Answers

it would be 300,000 kilometers per second you just move the decimal places to the right 5 times.

The standard form of speed of light is 300000 kilometers per second

What is standard form?

Here the standard form means converting the given expression to the simple expression .

How to find what is the standard form of 3x10^5 ?10^5 can be written as 100000

So, 3x10^5 can be written as 3 x 100000

By multiplying we get 300000

So, the standard form of speed of light is 300000 kilometers per second

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Rearrange the formula P = 2(l + b) to solve for b.

Answers

Answer:

p= 2l+2b

Step-by-step explanation:

distribution


Answer:

P = 2 * 1 + 2 * B

Step-by-step explanation:

This equation needs to be written using the distributive property:

A (B + C) = A * B + A * C

Put in the numbers:

P = 2 (1 + B)

=

P = 2 * 1 + 2 * B

Best Of Luck,

- I.A. -

Which statement is correct?The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic.
The enthalpy of the reaction is –184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is exothermic.

Answers

Final answer:

The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic because in an exothermic reaction, heat is released to the surroundings, leading to a decrease in enthalpy.

Explanation:

The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic. Enthalpy is a measure of the total energy of a thermodynamic system. If the enthalpy decreases during a reaction (negative sign), it implies that heat has been released to the surroundings, which is characteristic of an exothermic reaction. On the other hand, an endothermic reaction absorbs heat from the surroundings, leading to an increase in enthalpy (positive sign).

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Final answer:

The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. When enthalpy of a reaction is negative, it means the energy is being released to surroundings, indicating an exothermic reaction.

Explanation:

The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. In chemistry, when the enthalpy of a reaction is negative, it indicates that the reaction is exothermic. Exothermic reactions release energy in the form of heat to the surroundings. Thus, if the enthalpy of the reaction is -184.6 kJ, it means the reaction is releasing 184.6 kJ of energy to its surroundings making it an exothermic reaction. In contrast, endothermic reactions absorb heat energy from the surroundings, indicated by a positive enthalpy.

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Emily is entering a bicycle race for charity. Her mother pledges $0.10 for every 0.25 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?

Answers

Answer:

0.10 for 1/4 of a mile so 8 would be 32 times more. Which would be .1 x 32 or $3.20

Step-by-step explanation:

Plz mark brainliest :3

whats the answer please tell me

Answers

Answer:

2 out of 10 or 2/10

Step-by-step explanation:

1 brown shoes + 7 black shoes = 8

that means there were 2 other students wearing neither so out of the 10 students 2 weren't wearing black or brown shoes making 2/10

Answer:2 student not wearing any of the color

Step-by-step explanation:

1 student wearing brown                             Brown and black 1+7=8

7student wearing black

And 2 students wearing none of the above


So the answer would be 2 kids not wearing black or brown


Hope this helped


the population of a town was 47000 in 1950 and 83000 in 2010. assume the rate of population increase is constant. what will the population be in 2015

Answers

Do 83000 minus 47000


To estimate the population of the town in 2015, calculate the annual increase from 1950 to 2010 and use it to project the population. The population was found to be approximately 86,000 in 2015.

To determine the population of the town in 2015, we need to calculate the annual rate of population increase between 1950 and 2010 and use it to project the population for 2015. First, we find the total increase over the 60 years from 1950 to 2010:

Total increase = Population in 2010 - Population in 1950
Total increase = 83000 - 47000 = 36000

Then, we find the annual rate of increase by dividing this total increase by the number of years:

Annual Increase = Total increase / Number of years
Annual Increase = 36000 / 60 = 600

Now that we have the annual rate of increase, we can determine the population in 2015:

Population in 2015 = Population in 2010 + (Annual Increase * Number of years since 2010)
Population in 2015 = 83000 + (600 * 5) = 83000 + 3000 = 86000

The population of the town in 2015 is estimated to be 86000 given the constant rate of population increase.


A bag contains 10 green marbles and 4 yellow marbles. If two marbles are chosen at random, one at a time and without replacement, what is the probability of getting two green marbles?

Answers

Answer:There is high probability that getting two green marbles.


Step-by-step explanation:


Total marbles = 10+4 = 14
prob of green marble = 10/14 = .71
Then if you are getting 2 green marbles you have to first take out 1 green marble so now there are 9 green marbles and 13 total green marbles
prob of 2nd green marble = 9/13 = .69

So you would then multiply the probabilities of the individual events to get the total probability:
.71 * .69 = .4899 therefore(with rounding):

The probability of getting two green marbles is 49%

What is the equation of a line with slope −23 and a y-intercept of −4 ?
A. y=−23x−4
B. y=23x+4
C. y=−4x−23
D. y=4x−23

Answers

Answer:

its A

Step-by-step explanation:

the y intercept would be -4 and the slope would be -23, put it in y=mx+b form

Final answer:

The equation of a line with a slope of -23 and a y-intercept of -4 is y = -23x - 4, which corresponds to the option A.

Option A is correct.

Explanation:

The equation of a line is typically written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. For a line with slope −23 and a y-intercept of −4, we substitute the given values  −23 for m and −4 for b to get the equation y = −23x −4. Therefore, the correct option is A. y=−23x−4.

Please help me with #8

Answers

I believe it would be 1 aka F

I think the answer might be J 3(-4) since there are 3, -4 jumps.



Write an expression for the eighth partial sum of the series using summation notation

Answers

Answer:

option B

Step-by-step explanation:

9/10 + 6/5 + 3/2...........

We find the difference between the terms

[tex]\frac{6}{5} - \frac{9}{10}[/tex]

[tex]\frac{12}{10} - \frac{9}{10} = \frac{3}{10}[/tex]

We will get the same difference when we subtract consecutive terms.

so , d= 3/10, a= 9/10

we find the formula for nth term

a_n = a+(n-1) d

[tex]a_n = \frac{9}{10} + (n-1)\frac{3}{10}[/tex]

[tex]a_n = \frac{9}{10} +\frac{3}{10}n-\frac{3}{10}[/tex]

[tex]a_n = \frac{6}{10} +\frac{3}{10}n[/tex]

[tex]a_n = \frac{3}{5} +\frac{3}{10}n[/tex]

we need to find eighth partial sum so we  take n=1 to 8

sum of 8 terms ([tex]\frac{3}{5} +\frac{3}{10}n[/tex])

So option B is correct


Final answer:

The eighth partial sum of a series, denoted as S8, sums up the first 8 terms in the series. In summation notation, it can be expressed as S8 = Σ_[k=1]^8 a_k.

Explanation:

In mathematics, specifically in series and sequences, the notation for the eighth partial sum of a series is denoted by S8. Here the numeral 8 indicates the number of terms in that partial sum which is 8 in this case. The general formula for the sum of an arithmetic series is S_n = n/2 * (a + l) where n is the number of terms, a is the first term, and l is the last term.

If the terms of the series are denoted by a_k where k=1,2,3,... is the index of the term, the eighth partial sum of a series can be written in summation notation as:

 S8 = Σ_[k=1]^8 a_k

This means that the eighth partial sum is the sum of the first 8 terms of the series.

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13(11-3x)-5(16-4x)/2

Answers

Answer:

The simplified version of this would be (63 - 19x)/2

Step-by-step explanation:

In order to find this, we first distribute the numbers outside of the parenthesis.

13(11-3x)-5(16-4x)/2

143 - 39x - 80 + 20x/2

Then we combine like terms

(63 - 19x)/2

If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.

Answers

Answer:

[tex]\frac{(L x M)}{6}[/tex]

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

[tex]\frac{(L x M)}{6}[/tex]

Given: y = 3x - 4.

What is the x-intercept?

Answers

Answer:

x- intercept = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

to find the x-intercept, that is where the line crosses the x-axis.

let y = 0 in the equation and solve for x, that is

3x - 4 = 0 ( add 4 to both sides )

3x = 4 ( divide both sides by 3 )

x = [tex]\frac{4}{3}[/tex] or ( [tex]\frac{4}{3}[/tex], 0 )


Answer:

x-intercept is 4/3.

Step-by-step explanation:

We have been given the linear equation [tex]y=3x-4[/tex]

For x-intercept, y = 0

Hence, plugging y=0 in the equation and solve for x

[tex]3x-4=0[/tex]

Add 4 to both sides

[tex]3x=4[/tex]

Divide both sides by 3

[tex]x=\frac{4}{3}[/tex]

Hence, x-intercept is 4/3.

What is 9.3x 10^34/ 3.1 x 10^17 in scientific notation? Thanks.

Answers

Basically, 9.3/3.1 = 3 and 10^34/10^17 = 10^17, when multiplied, they form that fraction (9.3*10^34)/(3.1*10^17). So therefore, your answer is:

3*10^17

Answer:

Yee it's the second one I took the edge test don't worry I"m right even tho I have wrong grammar

Step-by-step explanation:

A sales clerk at a car stereo store works for commission only. If 15% of the people purchase an item where the clerk gets a $3 commission, 30% purchase an item where the clerk gets a $5 commission, and if 55% purchase an item where the clerk gets an $8 commission, what is the expected value per customer who enters the store?

Answers

Answer:

The expected value per customer = $6.35.

Step-by-step explanation:

The probability for a $3 commission = 15% = 0.15.

The probability for a $5 commission = 30% = 0.30.

The probability for a $8 commission = 55% = 0.55.

So, the expected value per customer = 3(0.15) + 5(0.30) + 8(0.55)

= 0.45 + 1.50 + 4.40

= 6.35.

Hence, the expected value per customer = $6.35.


Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answers

Answer:

25/2

Step-by-step explanation:


Answer:

a= 1/2m+25

Step-by-step explanation:

As the statement says that Sophie pays for one half of the cost of the car rental (m) and that she spent $25 on gasoline, the expression that could be used to determine the amount that she spent would be equal to the sum of one half of the cost of the car rental plus 25:

a= 1/2m+25

a= amount Sophie spent

m= cost of the car rental

bring the fraction a/a−4 to a denominator of 16−a^2

really do appreciate this thx

Answers

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

            a/(a - 4)                  Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)]     Multiply the denominatorator terms

= a(a + 4)/(a² - 16)               Multiply by -1/(-1)

= -a(a+4)/(-a² + 16)              Reorder terms in denominator

= -a(a+4)/(16 - a²)

Someone please help!!! and show work cause I dont understand this topic!

Answers

Answer:

number 1 is A    number 2 i don't know

Step-by-step explanation:


A market buys mixed nuts at $15 per pound. They want to make a $20 profit.what would you pay for 1 pound of nuts?

Answers

Answer:

We need to sell the nuts at 35 dollars to make $20 profit

Step-by-step explanation:

Profit = Selling price - cost

We know we want a 20 dollar profit

The cost of the nuts is 15 dollar

Substitute this in

20 = Selling price -15

Add 15 to each side

20+15 = Selling price -15+15

35 = Selling price

We need to sell the nuts at 35 dollars to make $20 profit

in Mr. whiteners class,7 out 35 students olay middle school basketball .what percent of studwnts in mr. Whitener's class play middle school basketball?

Answers

Answer:

7 out of 35 play basketball. Since you are only asking for 7 you take 7 and divide iy by 35. When you divide you get .2 0r 20%.


Your answer is 20%

Step-by-step explanation:


Answer:

20%

Step-by-step explanation:

It would be 20% because 35/7 is 5 and 5 goes into 100% 20 times.

equation using the quadratic fromula for 0.05x^2 + 1.1x = 250

Answers

Answer:

x=60.56, x=-82.56

Step-by-step explanation:

Solve using quadratic formula

Formula is

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

0.05x^2 + 1.1x = 250

Subtract 250 on both sides

0.05x^2 + 1.1x - 250=0

a= 0.05, b=1.1 , c=-250

Plug in the values in the formula

[tex]x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}[/tex]

[tex]x=\frac{-1.1+-7.156116265}{0.1}[/tex]

Now make two equations , one with +  and one with -

then we solve for x

[tex]x=\frac{-1.1+7.156116265}{0.1}[/tex]

x=60.56

[tex]x=\frac{-1.1-7.156116265}{0.1}[/tex]

x=-82.56


The solutions for (x) are approximately [tex]\(x_1 \approx 47.5\) and \(x_2 \approx -549.5\).[/tex]

To solve the equation \(0.05x^2 + 1.1x = 250\) using the quadratic formula, follow these steps:

1. Identify the coefficients in the equation: \(a = 0.05\), \(b = 1.1\), and \(c = -250\).

2. Apply the quadratic formula: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

3. Substitute the coefficients into the formula and calculate the solutions for \(x\).

The final answer will provide the values of \(x\) obtained from the quadratic formula.

1. Identify the coefficients:

  - \(a = 0.05\)

  - \(b = 1.1\)

  - \(c = -250\)

2. Apply the quadratic formula:

[tex]\[x = \frac{-1.1 \pm \sqrt{(1.1)^2 - 4 \cdot 0.05 \cdot (-250)}}{2 \cdot 0.05}\][/tex]

3. Calculate the solutions for \(x\):

[tex]\[x_1 = \frac{-1.1 + \sqrt{1.21 + 500}}{0.1} \approx 47.5\][/tex]

[tex]\[x_2 = \frac{-1.1 - \sqrt{1.21 + 500}}{0.1} \approx -549.5\][/tex]

Need help on both problems.

Answers

1)
use Pythagoras, so that
[tex] {18}^{2} - {10}^{2} = 224[/tex]

the square root if 224 is 14.96662955
so roughly, she needs 15ft for the remaining side.
15+10+18=43

so the answer is c.

2)
first calculate the length through the pond

36^2+49^2=3697
square root of 3697 =60.80296045

36+49=85
85-60.80296045=24.19703955

so he saves about 24.2m

Can someone help. Please

Answers

Answer:

Answer below       Please give brainliest!!  

Step-by-step explanation:

Sue Black:  8x5=40 hours    40 x $6.75 = $270


Jerry Atrix:  7.25 + 3 + 6.75 + 8 + 5 = 30 hours

                    30 x $5.15 = $154.50


Sam Ting:  7.75 x 5 = 38.75 hours

                 38.75 x $8.75 = 339.0625 = $339.06

need help asap.pls and thanks

Answers

Answer:

your speed is 135 mph

Step-by-step explanation:

                                   

List 3 values that would make this inequality true 3n < 18

Answers

first it has a sign second 3 can be divided by 18. lastly 18 is greater than 3n

For [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.

To solve the inequality 3n < 18, we need to find values for ( n ) that make the inequality true. Here are three such values:

n = 0 , n = 1 , n = 2

Let's go through the detailed calculation step-by-step:

Starting with  n = 0:

Plug  n = 0  into the inequality:

[tex]\( 3(0) < 18 \)[/tex]

Simplify:

[tex]\( 0 < 18 \)[/tex]

Since ( 0 ) is less than ( 18 ), this statement is true.

Next,  n = 1 :

Plug  n = 1 into the inequality:

[tex]\( 3(1) < 18 \)[/tex]

Simplify:

[tex]\( 3 < 18 \)[/tex]

Again, this statement is true.

Finally, [tex]\( n = 2 \)[/tex]:

Plug [tex]\( n = 2 \)[/tex] into the inequality:

[tex]\( 3(2) < 18 \)[/tex]

Simplify:

[tex]\( 6 < 18 \)[/tex]

This statement is also true.

Therefore, for [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.

A line of best fit was drawn for 10 data points. What is the maximum number of these data points that may not actually be on the line

Answers

Answer: 10

If the line is a perfect fit, then all 10 points are on the same straight line. On the other side of the spectrum, we could have all 10 points not on the line but close enough to it. If the points are too scattered randomly, or they fit a non-linear curve better, then a linear regression line is a bad idea. You can use a correlation coefficient to determine how best the linear fit is.

Annalisa uses 2/3 cup of all purpose flour and 1/2 cup of whole wheat flour to make pancakes how many cop of flour does she use altogether

Answers

Answer:

Annalisa uses 7/6 cups altogether.

Step-by-step explanation:

First you find common denominators for both fractions, which is 6, then convert the fractions to the denominator 6.


You get 3/6+4/6.

The answer is 7/6!

Which expression is equivalent to 1 -2/3 -3

Answers

Answer:

-8\3

Hope That Helps!


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