Answer:
The equation of the linear relationship is y = 3x + 2 ⇒ B
Step-by-step explanation:
To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation
A.
∵ y = 2x + 3
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 2(0) + 3
∴ y = 0 + 3 = 3
∵ The y-coordinate is 2
∴ The point (0, 2) does not lie on the graph of the relationship
∴ The equation y = 2x + 3 doesn't represent the equation of the relationship
B.
∵ y = 3x + 2
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 3(0) + 2
∴ y = 0 + 2 = 2
∵ The y-coordinate is 2
∴ The point (0, 2) lies on the graph of the relationship
→ Use the second point (1, 5)
∵ x = 1
→ Substitute x by 1 in the equation
∴ y = 3(1) + 2
∴ y = 3 + 2 = 5
∵ The y-coordinate is 5
∴ The point (1, 5) lies on the graph of the relationship
→ Use the third point (3, 11)
∵ x = 3
→ Substitute x by 3 in the equation
∴ y = 3(3) + 2
∴ y = 9 + 2 = 11
∵ The y-coordinate is 11
∴ The point (3, 11) lies on the graph of the relationship
→ Use the fourth point (2, 7)
∵ x = 2
→ Substitute x by 2 in the equation
∴ y = 3(2) + 2
∴ y = 6 + 2 = 8
∵ The y-coordinate is 7
∴ The point (2, 7) doesn't lie on the graph of the relationship
∴ The equation of the linear relationship is y = 3x + 2
Willy rents a bike for 7 days. The charge is $15 plus the $0.08 per mile. He wants to spend exactly $35. How many miles can he ride the bike? *
Answer:
Willy can ride the bike for 250 miles.
Step-by-step explanation:
$35 - $15 = $20
$0.08 × 12.5 = $1
$1 per 12.5 miles
$20 × 12.5 = 250
Write a simplified expression that represents the perimeter of an irregular quadrilateral with some de lengths (2 1/4t - 5) (4t + 3) (1/2t - 1) (3t + 2)
Answer:
[tex]Perimeter = \frac{39t-4}{4}[/tex]
Step-by-step explanation:
Given
[tex]Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)[/tex]
Required
Determine the perimeter
The perimeter is calculated as the sum of the lengths of the irregular shape.
i.e.
[tex]Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)[/tex]
Remove brackets
[tex]Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2[/tex]
Collect Like Terms
[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2[/tex]
[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1[/tex]
Convert mixed number to improper fraction.
[tex]Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1[/tex]
Take LCM
[tex]Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1[/tex]
[tex]Perimeter = \frac{39t}{4} -1[/tex]
Take LCM
[tex]Perimeter = \frac{39t-4}{4}[/tex] --- The perimeter of the shape
We want to find the perimeter of the irregular quadrilateral given that we know its lengths. By direct computation, we will get:
P(t) = (39/4)*t - 1
Remember that for any figure, the perimeter is defined as the sum of the lengths of each side.
Here we have that the lengths of the four sides of the quadrilateral are:
(2 1/4t - 5)
(4t + 3)
(1/2t - 1)
(3t + 2)
So we must sum that, we will get:
P = (2 1/4t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)
Notice that in the first part we have a mixed number, we can rewrite it as:
2 + 1/4 = 8/4 + 1/4 = 9/4
Then the sum is:
P = ((9/4)t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)
Now we simplify this sum:
P = (9/4 + 4 + 1/2 + 3)*t + (-5 + 3 - 1 + 2)
P = (39/4)*t - 1
So the perimeter, as a function of t, is:
P(t) = (39/4)*t - 1
If you want to learn more, you can read:
https://brainly.com/question/11971721
62 is 90.5% of what number?
Answer:
62 is 90.5% of what number? 68.51 (I think)
URGENT PLEASE HELP!!Which is an equation of the line that has a slope of 2 and passes through the point (3,1)?
A. y=2r +5
B. y = 2x + 1
C. y = 2x - 1
D. y = 2x - 5
Answer:
The equation of the line is y = 2x - 5 ⇒ D
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptNote: To prove that a line passes through a given point, substitute x in the equation of the line by the x-coordinate of the point and solve to find y, if y equals the y-coordinate of the point, then the line passes through it
∵ The slope of the line is 2
∵ The line passes through the point (3, 1)
→ Find at first which equation has slope 2, then check if the line passes
through the point or not using the note above
A.
∵ y = 2x + 5
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) + 5 = 6 + 5 = 11
∵ y-coordinate of the point = 1
∴ The line does not pass through the point
B.
∵ y = 2x + 1
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) + 1 = 6 + 1 = 7
∵ y-coordinate of the point = 1
∴ The line does not pass through the point
C.
∵ y = 2x - 1
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) - 1 = 6 - 1 = 5
∵ y-coordinate of the point = 1
∴ The line does not pass through the point
D.
∵ y = 2x - 5
→ By comparing it with the form of the equation above
∴ m = 2
∴ The line has the same slope
→ Substitute x by 3 to find y
∵ y = 2(3) - 5 = 6 - 5 = 1
∵ y-coordinate of the point = 1
∴ The line passes through the point
∴ The equation of the line is y = 2x - 5
Which are the intercepts of the equation y+2=4(x+1) ?
Answer:
x-intercept is ([tex]- \frac{1}{2}, 0[/tex]) and y-intercept is ([tex]0, 2[/tex])
Step-by-step explanation:
How do we find the y-intercept of a function?We solve the equation when x=0. Let's try that with [tex]y+2=4(x+1)[/tex]
First, let's simplify it so that it resembles [tex]y=mx+b[/tex] more noticeably
[tex]y = 4x + 4 - 2 \\y = 4x + 2[/tex]
Now let's plug in 0 for x to find the y-intercept:
[tex]y = 4\cdot 0 + 2\\y = 2[/tex]
How do we find the x-intercept of a function?We solve the equation when y=0. Let's try this from the simplified equation we got ([tex]y = 4x + 2[/tex])
[tex]0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}[/tex]
We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.
That means that our x-intercept will be ([tex]- \frac{1}{2}, 0[/tex]) and our y-intercept will be ([tex]0, 2[/tex])
This corresponds to the 3rd option counting from the left.
Good luck!
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank A has 5 fishes with a volume of 40 liters. Tank B has 12 fishes with a volume of 100 liters. Tank C has 23 fishes with a volume of 180,000 milliliters. Which tank has the greatest volume per fish?
Answer:
Tank B
Step-by-step explanation:
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
a) Tank A has 5 fishes with a volume of 40 liters.
Volume per fish = 40 liters/5 fishes
= 8 liters/fish
b) Tank B has 12 fishes with a volume of 100 liters.
Volume per fish = 100 liters/12 fishes
= 8.33 liters/ fish
c) Tank C has 23 fishes with a volume of 180,000 milliliters.
Convert 180,000 milliliters to liters
1 milliliter = 0.001 liter
180,000 milliliters = x
x = 180,000ml × 0.001 l
x = 180 liters
Volume per fish = 180 liters/23 fishes
= 7.8260869565 volume per fish
Approximately = 7.83 liters/fish
Which tank has the greatest volume per fish?
The tank that had the greatest volume per fish is Tank B at 8.33 liters/ fish
Does - 4y - 3 = (12y - 9)
- Sy have one solution, no solution, or infinitely many solutions?
Answer:
One answer: 3/8 or 0.375
Step-by-step explanation:
Answer:
exact form y
=3/8
decimal
y=0.375
Step-by-step explanation:
Tracee buys a shirt for $15 and a pair of Jeans for $32.50. If the sales tax is 8% what is the total price Tracee pays for the items?
Answer:
38.00
Step-by-step explanation:
1. Which of the following is a solution to the
equation - 2/5x = 10?
a. X = -4
b. X = -25
c. X= 4
d. X = 25
plz help with this question i know you could do it please help
Answer:
The answer is 44.99
Step-by-step explanation:
divide 89.98/2= 44.99
A real estate agent needs to estimate the average value of a residential property of a given size in a certain area. The real estate agent believes that the standard deviation of the property values is
Answer:
Follows are the solution to this question:
Step-by-step explanation:
[tex]95 \% \[/tex] the confidence level for z:
[tex]\alpha = 1 - 95 \% \\\\[/tex]
[tex]= 1 - 0.95 \\\\ = 0.05[/tex]
[tex]\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \ \frac{\alpha}{2} = Z_{0.025} = 1.96[/tex]
Calculating the Margin of error:
[tex]E = Z\ \frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]
[tex]= 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980[/tex]
The population means estimate a 95 % confidence interval is:
[tex]\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980[/tex]
I am beging pls pls pls pls pls pls pls pls pls pls HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!
1. [Image: Vertical number line ranging from negative 5 to 5.] On this number line, zero represents sea level. Plot the following points based on the description provided. • opposite of 4
2. [Image: Vertical number line ranging from negative 5 to 5.] On this number line, zero represents sea level. Plot the following points based on the description provided. • –2
Answer:
wouldnt opposite of 4 just be -4
and wouldnt -2 just be at -2?
Step-by-step explanation:
hope this helps <3
Answer:
1. Negative 4
2. Negative 2
Step-by-step explanation:
1. Opposite of positive 4 is negative 4.
Negative 4 will be below sea level, so on the number line it will be below the zero, on -4.
2. Negative 2
Negative 2 will be below sea level, so on the number line it will be below the zero, on -2.
I hope it makes sense.
What is the solution set to log(x + 7) > log3x?
Answer: (-∞, 3.5)
Step-by-step explanation:
Here we can use the relation:
Exp( Log(X)) = X
Now, we start with the equation:
log(x + 7) > log(3x)
Now we can apply the exponential function to both sides of the inequality to get:
Exp(log(x + 7)) > Exp(log(3x))
x + 7 > 3x
7 > 3x - x
7 > 2x
7/2 > x
3.5 > x
Then the solutions will be all the values of x smaller than 3.5, this set can be written as:
(-∞, 3.5)
Answer:
(0,3)
Step-by-step explanation:
used an online calculator
Complete the table then graph the points
whoever does it right i will give brainliest
Answer:
Step-by-step explanation:
Equation of a line has been given as,
y = -2x + 5
Input-output points lying on the the line are,
x 0 1 2 3
y 5 3 1 -1
Now we can plot these points on the graph and join them to get the line representing the given equation.
(As graph attached)
Given f(x)=20x+11, find f(4)
Answer:
91
Step-by-step explanation:
Substitute 4 in place of x
f(4)=20*4+11
f(4)=80+11
f(4)=91
can anyone help me??
Answer:
angle j = 98 degrees
angle c = 78 degrees
JK = 16
AD = 32
x=8
y=11
Step-by-step explanation:
Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 2/3?
Answer:
Line C
Step-by-step explanation:
slope
Answer:line c
Step-by-step explanation:
Julie cycles 7 3/4 miles in 1/3 hour. If Julie continues to cycle at the same speed, how many miles will she ride per hour?
Answer:
23.25 MPH
Step-by-step explanation:
7 3/4 x 3 = 23.25
1/3 x 3 = 3/3 = 1
So for 1 hour she will ride 23.25 MPH :D
Answer:
23 1/4 miles
Step-by-step explanation:
(7 3/4)x3 will give us the answer as (1/3)x3 is 3/3, meaning that it is the full hour.
which of the following statements best describes the graph of x + y =2?
A) it is a line which intersects the y-axis at (2,2).
B) it is aligned joining the points whose x- and Y- coordinates add up to 2.
C) it is a line which intersects the x-axis at (2,2).
D) it is a line joining the points whose x- and Y- coordinates add up to 4.
Step-by-step explanation:
so x+y=2
a line would have to go 0,2 2,0
so the answer would be D
The function y=2.50x+20 can be used to determine the cost in dollars for the rental of x games for game store members. What is the rate of change of the cost in dollars with respect to the number of games?
A.$2.50 per game
B.$22.20 per game
C.$20 per game
D.$17.50 per game
I'LL GIVE YOU BRAINLIEST
Answer: I think it’s d but I’m not sure
Your cellphone bill in august was $61.43,which was $21.75more than your bill in July.Your cell phone bill in July was $13.62 less than your bill in June.what was your cell phone bill in June?
Answer:
53.3
Step-by-step explanation:
Plzzz I need helpppp
Algebra
Solve for a: (a+4)/3 - a/7 = (a+7)/5
Answer:
a= -7
Step-by-step explanation:
I hope this helps! :)
WILL BRAINLIST
Given the points (-4, 6) and (1, -2) find the slope.
Answer:
-8/5
Step-by-step explanation:
y values minus each other over x values minus each other
Answer:
-8/5 or -1.6
Step-by-step explanation:
the formula for slop is y2-y1/x2-x1
y2 is -2
y1 is 6
x2 is 1
x1 is -4
(-2-6)/(1+4)
(-8)/(5)
the slope is -8/5 or -1.6
(just in case you need to write out the work)
help me plzzzz :)) tyy if you do
What is the LCM of 6, 10, and 15?
50
Answer:
okay
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 40. What is this population of the bacteria after 40 hours?
Geometry:
What is the volume of the cone?
A. 2876.7 yd
B. 4625.36 yd
C. 4258.44 yd
D. 2787 64 yd
Answer:
D. 2787.64 yd^3
Step-by-step explanation:
This is the formula for the volume of a cone:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
The height of the cone is 22 yd. The radius of the base of the cone is not given but we can use the diameter to calculate it since the radius is equal to half of the diameter.
[tex]r=\frac{1}{2}d\\r=\frac{1}{2}(22)\\r=11yd[/tex]
Therefore, the radius of the base of the cone is 11 yd.
Now, we plug our values into the formula and solve.
[tex]V=\frac{1}{3} \pi r^2h\\V=\frac{1}{3} \pi (11^2)(22)\\V=\frac{1}{3} \pi (121)(22)\\V=\frac{1}{3} \pi (2662)\\V=\frac{1}{3} \pi (2662)\\V=2787.64 yd^3[/tex]
Therefore, the volume of the cone is equal to 2787.64 yd^3.
I hope this helps!
Help please on circle theorems
Answer:
n = 28
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc, then
35 + m = 0.5 × 98 = 49 ( subtract 35 from both sides )
m = 14
∠ n is at the centre subtended on the same arc as ∠ m , thus
n = 2m = 2 × 14 = 28
Complete the equivalent ratio = 9/4 = 81/?
Answer:
81/36
Step-by-step explanation:
81/9 is 9
9 times 4 is 36
Answer:
Hi there the answer is 81/36. Hope this helps! c:
Step-by-step explanation:
First, figure out what ratio was used to make 9, 81.
You can recall that 9 x 9 = 81.
Therefore you must multiply the bottom of the fraction by 9 as well in order to create the correct ratio.
Thus, 4 x 9 = 36.