Explain EACH step you would take to solve the following system using substitution.
y = 3x - 5
x = 2
Answer:
y=1
Step-by-step explanation:
y=(3)(2)−5
y=6-5
y=1
Answer:
-3Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y = m x + b , where m is the slope and b is the y intercept.
y = m x + b
Find the values of m and b using the form y = m x + b .
m =− 5 3 b = 2
The slope of the line is the value of m , and the y-intercept is the value of b .
Slope:
− 5 3
y-intercept: 2
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f ( 0 ) = − 5 ( 0 ) 3 + 2
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 3 .
Factor 3 out of 5 ( 0 ) .
f ( 0 ) = − 3 ( 5 ⋅ ( 0 ) ) 3 + 2
Cancel the common factors.
Factor 3 out of 3 .
f ( 0 ) = − 3 ( 5 ⋅ ( 0 ) ) 3 ( 1 ) + 2
Cancel the common factor.
f ( 0 ) = − 3 ( 5 ⋅ ( 0 ) ) 3 ⋅ 1 + 2
Rewrite the expression.
f ( 0 ) = − 5 ⋅ ( 0 ) 1 + 2
Divide 5 ⋅ ( 0 ) by 1 .
f ( 0 ) = − ( 5 ⋅ ( 0 ) ) + 2
Multiply 5 by 0 .
f ( 0 ) = − 0 + 2
Multiply − 1 by 0 .
f ( 0 ) = 0 + 2
Add 0 and 2 .
f ( 0 ) = 2
The final answer is 2 .
2
The y value at x = 0 is 2 .
y = 2
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f ( 3 ) = − 5 ( 3 ) 3 + 2
Simplify the result.
Simplify each term.
Cancel the common factor of 3 .
Cancel the common factor.
f ( 3 ) = − 5 ⋅ 3 3 + 2
Divide 5 by 1 .
f ( 3 ) = − 1 ⋅ 5 + 2
Multiply − 1 by 5 .
f ( 3 ) = -5 +2
Add − 5 and 2 .
f ( 3 ) = − 3
The final answer is − 3 .
− 3
The y value at x = 3 is − 3 .
y = − 3
Create a table of the x and y values.
x- 0, 3
y- 2, -3
Graph the line using the slope and the y-intercept, or the points.
Slope: − 5 /3
y-intercept: 2
x- 0, 3
y- 2, -3
Cooper is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms, that can room 2 people, and large rooms, that can room 4 people. How many wedding guests could stay in the hotel if Cooper reserved 12 small rooms and 11 large rooms? How many wedding guests could stay in the hotel if Cooper booked ss small rooms and ll large rooms?
Answer:
Step-by-step explanation: s = small room = 2
l = large room = 4
12s + 11l = 28 + 22 = 50
as I said before s = 2 and l = 4
s*s + l*l = 2*2 + 4*4 = 4 + 16 = 20
The long climbing rope is 100 feet long. The long climbing rope is ten times longer than the shorter safety rope. How many feet of rope is the shorter safety rope?
Answer:
10 feet
Step-by-step explanation:
100/10=10
A washer and a dryer cost $698 combined. The washer costs $48 more than the dryer. What is the cost of the dryer?
Answer:
277
Step-by-step explanation:
w+d=698
w= d+48
d+48+d=698
2d+48=698
650/2d
325=w
w-48=d
325-48=d
277=d
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y = -4x2 + 141x – 703
Answer:
b
Step-by-step explanation:
The maximum amount of profit the company can make is $543
Let y represent the amount of profit and x represent the selling price.
The relationship between x and y is:
y = -4x² + 141x – 703
The maximum profit is at dy/dx = 0, hence:
dy/dx = -8x + 141
-8x + 141 = 0
8x = 141
x = 17.625
The maximum profit is:
y = -4(17.625)² + 141(17.625) – 703 = 543
The maximum amount of profit the company can make is $543
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Name one situation in which a humor device would be good to use in your writing?
Which point on the number line represents -3/4?
A
B
C
D
Pls answer
Answer:
B.
Step-by-step explanation:
-[tex]\frac{3}{4}[/tex] = -0.75
-0.75 is less than -0.5 but more than -1.
A shows -1.75.
B shows -0.75.
C shows -0.25.
D shows 0.75.
Note: Each mark is 0.25.
estimate the quotient 1.64 divided by 22
Answer:
about 0.075
Step-by-step explanation:
The estimation of the quotient 1.64 divided by 22 is 0.0745.
Given that,
There is one number i.e. 1.64.The other number is 22.We need to find the quotient.Based on the above information, the calculation is as follows:
[tex]= 1.644 \div 22[/tex]
= 0.0745
Therefore we can conclude that the estimation of the quotient 1.64 divided by 22 is 0.0745.
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Find the inverse of each of the given functions. h(x)= 2x-4/3
Answer:
h^-1(x)=x/2+2/3
Step-by-step explanation:
A basketball player attempted 15 field goals. He scored on 40 percent of his attempts. How many field goals did the player score? Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected A12 field goals B6 field goals C10 field goals D9 field goals
Answer:
B. 6 field goals
Step-by-step explanation:
Given
[tex]Attempts = 15[/tex]
[tex]Scored = 40\%[/tex]
Required
Determine the number of goals scored
To do this, we simply multiply the number of attempts by the percentage scored.
[tex]Number = Attempts * Scored[/tex]
[tex]Number = 15 * 40\%[/tex]
Convert % to decimal
[tex]Number = 15 * 0.40[/tex]
[tex]Number = 6[/tex]
He scored 6 of his 15 attempts
Kiran and Clare live 24 miles away they start walking at 8 am Clare is walking 3.4 miles per hour and they get there at 10:30 am how fast was Kiran jogging
Answer:
Kiran is jogging at 9.6 miles per hour.
Step-by-step explanation:
We can find the speed of Kiran as follows:
[tex] v = \frac{x}{t} [/tex]
Where:
v: is the speed =?
x: is the distance = 24 miles
t: is the time
If Clare and Kiran started walking at 8 am and they get to their destination at 10:30 am, then the time is:
[tex] t = 10:30 - 8:00 = (10 h + 30min*\frac{1 h}{60 min}) - 8 h = 2.5 h [/tex]
Then, the speed of Kiran is:
[tex] v = \frac{x}{t} = \frac{24 miles}{2.5 h} = 9.6 miles/h [/tex]
Therefore, Kiran is jogging at 9.6 miles per hour.
I hope it helps you!
Convert the decimal 19.52 into a mixed fraction
19 and 13/25 is your answer.
Answer:
19 11/20
Step-by-step explanation:
1955/100
391/20
19 11/20
Note: you have to place 19 beside" / "
You are running a concession stand at a basketball game. You are selling hotdogs and sodas. Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hotdogs and sodas combined. How many hotdogs did you sell?
Answer:
35 hotdogs
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hotdogs and sodas.
Let the number of hot dogs be represented by x
The number of soda be represented by y
You sold a total of 87 hotdogs and sodas combined
x + y = 87
x = 87 - y
Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.
Hence we have the equation:
$1.50 × x + $0.50 × y = $78.50
1.50x + 0.50y = 78.50
Substitute 87 - y for x
1.50(87 - y) + 0.50y = 78.50
130.5 - 1.50y + 0.50y = 78.50
Collect like terms
- 1.50y + 0.50y = 78.50 - 130.50
-1.00y = -52
y = -52/-1
y = 52 sodas
How many hotdogs did you sell?
Using the equation:
x = 87 - y
x = 87 - 52
x = 35 hotdogs
Hence, you sold 35 hotdogs
The first one to answer gets brainliest or whatever
A car is 180 inches long. A truck is 75% longer than the car.
How long is the truck?
135
240
255
315
Answer:
I think it is 315 but I might be wrong
Step-by-step explanation:
Solve the inequality 5- 1/2 x > 30
Answer:
x < -50
Step-by-step explanation:
[tex]5-\frac{1}{2}x>30[/tex]
[tex]<=>-\frac{1}{2}x >30-5[/tex]
[tex]<=> x<25:-\frac{1}{2}[/tex]
[tex]<=>x<-50[/tex]
Which graph shows the solution set of x-1/x-3 <0
Answer:
answer will be D i believe (As i cant see the graphs, I had too look for the graphs myself, thanks!)\
the graph will show a line chart -5 to 5+ THE HIGHLIGHTS will be between 1 and 3
Based on the attendance at past picnics, Luis expects 95% of the students in his class to attend this years picnic. If 120 students are in the class, how many students are likely to attend the picnic?
Answer:
95 / 100 * 120 = 114 students
Thank you and please rate me as brainliest as it will help me to level up
what is
1.63 x 0.98 =
Answer:
1.5974
Step-by-step explanation:
Answer:
1.5974
Step-by-step explanation:
1.63 x 0.98
We know that there is 4 decimal places for both numbers, meaning we know that there will be 4 numbers following the decimal
1.63 x 0.98 = 1.5974
Enrique is going to a party this weekend. He is bringing 20 liters of soda to the party. A liter of soda costs $1.59.
How much will Enrique spend on soda?
$3.18
$27.40
$29.60
$31.80
2/4 * 4/8
please give me the correct answer
Answer:
1/4 is the correct answer....
What is 15x-3y = 0 written in slope-intercept form?
O y = 5x
O y=-5x
O X= 1/5y
O X= 5y
HELP!!!!!!!! I WILL GIVE BRAINLIEST
Solve this problem
-2/3 x 13/21 + 3/7
Answer:
0.01587301587
Step-by-step explanation:
calculator
Find the coordinates of the image
Ry=-1(p)
The image is _____?
Answer:
Step-by-step explanation:
y=0,3
x=-4,0
(-4,3)
The required coordinate of the image of p is under y = -1 is given as (-4, 4).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate the y is called ordinate.
Here,
Coordinates of point P = (-4, 3)
Now,
[tex]R_{y = -1}(p)[/tex]
The question of the image is given that
(x, y) ⇒ (x, -[y + 1])
= (-4, -[3 + 1]) = (-4, -4)
Thus, the required coordinate of the image of p is under y = -1 is given as (-4, 4).
Learn more about coordinate here:
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if x = 32 what does abc = this is not a real question
Answer:
??????
Step-by-step explanation:
correct answer gets marked brainliest!
Answer:
y = -3x + 7
Step-by-step explanation:
Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 16}{-1 -(-3} = \frac{-6}{2} = -3 [/tex].
We would get the same rate of change if we use any other two pairs of values in the data given.
Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.
To represent y as a function of x, find b, since we know the rate of change (m).
Substitute x = -3, y = 16 and m = -3 in y = mx + b.
Thus:
16 = (-3)(-3) + b
16 = 9 + b
Subtract 9 from each side
16 - 9 = b
7 = b
b = 7
Substitute m = -3 and b = 7 in y = mx + b
The function would be:
✅ y = -3x + 7
i triple my number add four and i get seven whats my number
Answer:
1
Step-by-step explanation:
1 • 3 + 4 = 7
You are shoveling snow from the sidewalks around your neighborhood after a big snowstorm. You work at a steady rate, shoveling 10 feet of sidewalk in 40 minutes. 1) At this rate, how many minutes will it take you to shovel 75 feet of sidewalk?
Answer:
300 minutes
Step-by-step explanation:
Given
10 feet in 40 minutes
Required
Determine the time to shovel 75 feet
Let the required be represented with x
First, we need to represent the given and required as ratios.
[tex]Given = 10 : 40[/tex]
[tex]Required = 75 : x[/tex]
Since you work at steady rate, then both ratios are equivalent.
[tex]10 : 40 = 75 : x[/tex]
Convert to fractions
[tex]\frac{10}{40} = \frac{75}{x}[/tex]
[tex]\frac{1}{4} = \frac{75}{x}[/tex]
Solve forx
[tex]x * 1 = 75 * 4[/tex]
[tex]x = 300[/tex]
what is the maximum temperature for hiking cold, potentially hazardous food?
-less than 32 degrees
-less than 45 degrees
-less than 41 degrees
-less than 70 degrees
it must be less than 41 degrees
Raja is trying to decide which ice cream shop is the better buy. Cold &Creamy sundaes charges 2.50 per sundae
where is the rest of the question??
Which of these is a two-step equation?
A. x + 9 = 21 incorrect answer
B. x = 11 + 2 incorrect answer
C. 2x + 9 = 21 incorrect answer
D. x/3 = 9
Answer: I believe is C
Step-by-step explanation:
2x=21-9
x=12/2
Answer:
d
Step-by-step explanation: