y = 2x – 4
y = -x + 5

Answers

Answer 1

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Substitute in y:                    2x - 4 = -x + 5Add x to both sides:           3x - 4 = 5Add 4 to both sides:           3x = 9Isolate x:                              x = 3

Step 3: Solve for y

Define equation:                    y = -x + 5Substitute in x:                       y = -3 + 5Add:                                        y = 2

Related Questions

Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.

The total of their ages is less than 40.

What is Abigail’s greatest possible age?
Give your answer as a whole number of years.

Answers

Answer:i i think Brenda 10

Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,

[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

https://brainly.com/question/91727

the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle

Answers

Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.

Answers

MAD= mean absolute deviation. Find the mean first. So if you add all the numbers and divide by the amount of numbers. Then you do the data value subtracted by the mean. Mean= 912 divided by 12 which equals 76. 912-76= 836. Sorry if it’s wrong, I don’t remember much from learning this.

Answer:

11.16

Step-by-step explanation:

hope this helps

helppppppppppppppppppppppppp

Answers

Answer: C!!!

Step-by-step explanation:

1. Divide 1,875 by 125 and you get 15.

2. Do the same with 5,625 and you get 375.

3. Multiply 420 by 15 and you get 6,300.

Can you pls mark brainliest!!!! :)))

what are you doing for math

Answers

algebra.............

This is not an academic question and cannot be answered by Brainly contributors. Happy holidays!

What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8

Answers

Answer:

D) g(x) = 2x-8

Step-by-step explanation:

Find the percent of increase from 15 lbs. to 31 lbs. Round to the nearest tenth if necessary.

Answers

It is a 101.67 percent increase hope this helps

Please show your work and solve the proportion!

Answers

Answer:

x = 1/9

Step-by-step explanation:

we want to solve the proportion;

we simply cross multiply the values

Mathematically, that will be calculated as follows;

6x * 21 = 2 * 7

6x * 21 = 14

6x = 14/21

2(3x) = 2(7/21)

3x = 7/21

3x = 1/3

x = 1/3/3

x = 1/9

Please answer these questions I will mark brainliest

Answers

1. C

2. A

3. A

i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”

Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban

Answers

the answer is D :)!!
I really don’t know what that’s says but I will just with the person who did it first

Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8

Answers

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]

Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!

Answers

Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after taxes are taken from a paycheck. Gross income is money paid to fund firefighters and police officers. Gross income is money paid for taxes.

Answers

Answer:

Gross income is money earned before taxes are taken from a paycheck

Step-by-step explanation:

Gross income is money earned before taxes are taken from a paycheck

Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.

Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.

For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted

PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

(2,7)

Step-by-step explanation:

Variable Definitions:

x=

x=

\,\,\text{the number of apples}

the number of apples

y=

y=

\,\,\text{the number of bananas}

the number of bananas

\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}

“a minimum of 7 items"→7 or more items

Use a \ge≥ symbol

Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:

x+y\ge 7

x+y≥7

\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}

“$8 to spend"→can spend $8 or less

Use a \le≤ symbol

One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:

2x+0.50y\le 8

2x+0.50y≤8

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}

x+y≥7

y≥7−x

 

2x+0.50y≤8

0.50y≤8−2x

y≤

0.50

8−2x

y≤16−4x

Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:

0

the number of apples

the number of bananas

x

y

0

the number of apples

the number of bananas

(2, 7)

Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:

Zoey could buy 2 apples and 7 bananas.

a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour

Answers

Answer:

5 inches per hour

Step-by-step explanation:

Answer:

1.5 inches per hour

Step-by-step explanation:

Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?

Answers

Here is an example for your question



Average with respect to what? If we take the time-weighted average, the two legs of the trip will be weighted differently (the leg from A to B taking 60/40 = 3/2 times as long as the leg from B to A), and we will get an average of 48 MPH.

But the time-weighted average is not the only average we can consider. We could also consider the distance-weighted average (which might be useful if we were considering, say, the wear on the road caused by such travel); then the two legs would be weighted equally and the average would be 50 MPH.

Often, when people speak about average speed, it's the former of these notions which is implicitly meant (since speed itself is distance over time, we have the nice property that the time-weighted average of speeds will always be the total distance over the total time), but the latter is a perfectly legitimate notion as well. Averages are always averages with respect to some weighting, and different weightings will give different averages.

Answer:

         41 mph

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0

Answers

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

To learn more about quadratic equations click :

https://brainly.com/question/25652857

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BRAINLIEST

Which two expressions are equivalent for any value of y?
Group of answer choices

A. 3(3y + 3) and 6y + 6

B. 3(3y + 3) and 9y + 6

C. 9(y + 3) and 12 + 9y

D. 9(y + 3) and 27 + 9y

Answers

B and D because when solved they have the same beginning values

-(4x - 7) + 1 = 2 (5 - 2x) solve for x

Answers

Answer:

No solution

Step-by-step explanation:

-(4x - 7) + 1 = 2(5 - 2x)

-4x + 7 + 1 = 10 - 4x

-4x + 8 = 10 - 4x

-4x + 8 ≠ -4x + 10

No solution

Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?

Answers

Answer:

60%

Step-by-step explanation:

yes

Can someone please explain how to do this?
I’m stuck and I need your help :(

Answers

Answer:

9 power 3 minus 3

so 9 power 0

Answer:

9^2

Step-by-step explanation:

Subtract the bottoms exponent from the top exponent. If you see no exponent there is always a one.

Rose, I am very sorry 4 not replying to all ur text. im sorry for wat happen to ur mom.

Answers

Answer:

I feel so bad, would you mind telling me what happened to her mother..?

      ~isimpfortnpu

I am so sorry to and I don’t even know u rose :(

What is 4% of 25?.....

Answers

Answer:

1

Step-by-step explanation:

multiply 25 by .04

Select the correct answer.
Which expression is equivalent to 8V6?
O A. 14
OB.
748
O C. 196
OD. 384
Reset

Answers

Given:

Consider the complete question is "Which expression is equivalent to [tex]8\sqrt{6}[/tex]? A. [tex]\sqrt{14}[/tex]  B.  [tex]\sqrt{748}[/tex] C. [tex]\sqrt{196}[/tex] D. [tex]\sqrt{384}[/tex]".

To find:

The equivalent expression.

Solution:

We have,

[tex]8\sqrt{6}[/tex]

It can be written as

[tex]=(\sqrt{8})^2\sqrt{6}[/tex]

[tex]=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}[/tex]

[tex]=\sqrt{8\cdot 8\cdot 6}[/tex]          [tex][\because \sqrt{a}\sqrt{b}=\sqrt{ab}][/tex]

[tex]=\sqrt{384}[/tex]

So, [tex]\sqrt{384}[/tex] is equivalent to [tex]8\sqrt{6}[/tex].

Therefore, the correct option is D.

Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)

Answers

Answer:

−5(−6y−3w+2)

=(−5)(−6y+−3w+2)

=(−5)(−6y)+(−5)(−3w)+(−5)(2)

=30y+15w−10

=15w+30y−10

1. y = 5x + 2, (2,7)

Answers

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

Tap for more steps...

x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

Which of the following represents a function

Answers

Answer:

D represents a function pretty sure I had a problem like this as well

Step-by-step explanation:

C is the answer because the same input (x) number can not be matched twice with and output (y). The numbers in the input(x), or domain, constantly goes up by one, and the output(y), or range, constantly goes down by one.

I hope this helped!! Please correct me if I was wrong :)

Based on his skills in basketball, it was computed that when Joe Sureshot threw a free throw, the odds in favor of his making it were 4 to 35. Find the probability that when Joe shot a free throw, he made it. Out of every 100 free throws he attempted on the average how many did he miss?

Answers

Answer:

11.43%    

89 free throws would miss

Step-by-step explanation:

In order to find the percentage probability of Joe making a free throw show we need to the odds given and then multiply that decimal value by 100 like so...

4 / 35 = 0.11428

0.11428 * 100 = 11.43% rounded up

If Joe were to shoot 100 free throws 11.43% would most likely go in but since the actual number can only be a whole number it would mean that 11 of those 100 free throws would go in.

100 - 11 = 89

Therefore, 89 free throws would miss on average.

Please help! asap ill brainlist you :(


At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.

Answers

Answer:

5

Step-by-step explanation:

hope this helps!!!

1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1

Answers

Answer:

X .

-1 | 2

-11-1

-11-4

0 3

2 1-1

-13

0

0

-4-1

--3 0

-1 2

-1 1

0 3

2-5

0 0

2

2

3

3

A. III

B.IV

C.

D

1\

Step-by-step explanation:

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