9514 1404 393
Answer:
-4 < y < 4 and y < -3/2x +2
Step-by-step explanation:
The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...
m = rise/run = -3/2
This means we can write the boundary line equation as ...
y = mx + b
y = -3/2x +2
__
We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...
y < -3/2x +2
We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...
-4 < y < 4 and y < -3/2x +2
Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .
Answer:
y= 3/4x + 6.4
Step-by-step explanation:
If your teacher asks why it's so specific tell them you used desmos <3
Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075
use the function y=3/2x+3 to complete the table of values
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
Putting all the values of y=9, 6, 0, and -3 to complete the table
FOR y=9
putting y=9
switch sides
subtract 3 from both sides
Hence,
when y=9, x=4
FOR y=6
putting y=6
switch sides
subtract 3 from both sides
Hence,
when y=6, x=2
FOR y=0
putting y=0
switch sides
subtract 3 from both sides
Hence,
when y=0, x=-2
FOR y=-3
putting y=-3
switch sides
subtract 3 from both sides
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4
A car salesperson sells a car for $21,000. She receives a 5.25% commission on the sale of the car.
How much did she earn on the sale?
Answer:
She earned 1102.50 from the sale.
Step-by-step explanation:
I'd say break the percentage down
5.25÷100=0.0525
21,000×0.0525=1102.5 or 1102.50
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?
Answer: [tex]61.9miles/hr[/tex]
Step-by-step explanation:
given data:
distance travelled by the car = 195 miles
time taken = 3 hours and 15mins
solution
average speed of the car
[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]
Answer:
The average speed is [tex]v=60 miles/h[/tex]
Step-by-step explanation:
The equation of the average speed os given by:
[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)
here:
Δx is just 195 miles
Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)
So we just need to put this into the equation (1)
[tex]v=\frac{195}{3.25}[/tex]
Therefore, the average speed is [tex]v=60 miles/h[/tex]
I hope it helps you!
A 2-column table with 4 rows. Column 2 is labeled Hours x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.25, 2.50, 3.75, 5. On a coordinate plane, a line goes through (1, 1.25) and (4, 5).
The models represent a real-world problem. Select the statements that describe the problem. Select all that apply.
The two variables are dollars and hours.
The two variables are 1 and $1.25.
The correct equation is y = 1.25x.
The correct equation is y = 1x.
Melissa charges $1.25 an hour to pet-sit.
Melissa charges $1 more than the number of hours she pet-sits.
The two variables in this problem are dollars and hours
Melissa charges $1.25 per hour to pet-sit.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The table and the given points on the coordinate plane provide information about the relationship between the number of hours of
pet-sitting (x) and the amount of money earned (y) by Melissa, who charges a fixed rate of $1.25 per hour for pet-sitting.
The equation of the line passing through the points (1, 1.25) and (4, 5) can be found by using the slope-intercept form:
y - y_1 = m (x - x_1),
where m is the slope and (x_1, y_1) is a point on the line.
Using the two given points, we have:
m = (y_2 - y_1)/(x_2 - x_1)
= (5 - 1.25)/(4 - 1)
= 1.25
y - 1.25 = 1.25 (x - 1)
y = 1.25x - 0.75
This means that for each additional hour of pet-sitting, Melissa earns an additional $1.25.
Therefore,
The two variables in this problem are dollars and hours
Melissa charges $1.25 per hour to pet-sit.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ3
Answer:
The two variables are dollars and hours. The correct equation is y = 1.25x. Melissa charges $1.25 an hour to pet-sit. or 1,3,5
what is the solution (x,y) to the system of equations? x=10 3x+5y=20
Answer:
(10, -2)
Step-by-step explanation:
x = 10 (its given in the problem)
then plug in 10 for x in the second equation and solve for y
3(10) + 5y = 20
30 + 5y = 20
5y = -10
y = -2
so the solution is (10, -2)
Please answer!!!! And show work if possible!!!!!
Step-by-step explanation:
Triangles ABX and DCX are similar.
Since they are similar, AX/DX = AB/DC.
Hence AX/2.8 = 8/4 and AX = 5.6.
In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5?
Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.
what method is this?
Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?
Answer: 3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
Step-by-step explanation:
step 1
LET I set of necklace and bracelet be represented as ( A bracelet and a necklace)
if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet for a set
Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9
= 9 4/9 inches.
Step 2
IF a set (One necklace and bracelet) can use = 9 4/9 inches
and Total wire used = 28 1/3inches
Then Number of necklaces and bracelet sets that can be made from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches
=85/3 / 85/ 9 = 85/3 x 9/ 85 = ( 85 cancels 85 )
9/3 = 3
3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
show a graph for -12x-3y=36
Answer:
Here!!
Step-by-step explanation:
Hope this helped!!! have a good day :D
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction
When she checked the answer by estimating, it did not make sense. What error did Wen make?
Answer:
-3 Farenheit change per hour
She didnt divide properly
Step-by-step explanation:
PLZ MARK BRAINLIEST.
Answer:
C
Step-by-step explanation:
Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i
2.4 millimetres into meter is 0.0024.
Answer:
0.0024 meters
Step-by-step explanation:
Using conversion.
Hope this helps!
xoxo,
cafeology
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
I'll give brainly if right and pls do an explanation
Answer: $280
Step-by-step explanation:
92.5-36.5 = 56
56x 10 = 560
1/2 x 560 = 280
Benny spent $280 to go to summer camp.
I hope this helps :)
Pls help. question is in the picture above
Answer:
15 meters
Step-by-step explanation:
Because angle BFD and angle DFC are supplementary (they form a 180 degree angle, as you can see from the fact that they both form a straight line) and angle BFD is 90 degrees, angle DFC must also be 90 degrees. Since it is 90 degrees, you can use the Pythagorean theorem to solve for DF as a part of triangle DFC=> 8^2(x^2)=17^2.
=>64(x^2)=289
subtract 64 from both sides=> x^2=225
take the square root of both sides=> x=15
Since triangles BED and BFD are equal by way of angle-side-angle, we know that all of their corresponding sides and angles are equal, and therefore, DF=DE, so DE=15 meters
If BC = 3x, CD = 7x, and BD = 10, what is BC?
Answer:
BC= 3
Step-by-step explanation:
Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information
BC+ CD= BD
3x+ 7x= 10
10x= 10
x= 10/10
x= 1
3x would give 3 (1)= 3
Hence the Line BC = 3
and the line CD= 7
Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?
Answer:
Mindy bought 7 pounds of candy.
Step-by-step explanation:
In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex] pounds of candy each).
So now we can find the answer by doing the following.....
[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]
Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 per mile driven. Alejandro has $350 to spend on the rental car fees. Write an inequality to determine how many miles Alejandro can afford to drive.
Answer:
(199+0.32)minus 350
Step-by-step explanation:
199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it
HOW DOES THE GRAPH OF F(X) = 4(X - 3)^2 + 1 DIFFER FROM THE GRAPH OF G(X) = 2 (X -3)^2 + 1. please explain so i can understand!! thxx
Answer:
6732FDX
Step-by-step explanation:
Use calculator
Natalie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Natalie's total payments on a day on which she sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Natalie would have to sell in order to get paid $365 on a given day.
Answer:
9,500
Step-by-step explanation:
HELP!Please answer these for me?:)))
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
pls help with this problem.
Answer:
23 is the answer
Step-by-step explanation:
i holed this helped
Answer : -12
a = 4x
plug in the numbers for a and x
3 - 4(-5)
3-15
-12
Hope this helps!!!
I need help ASAP please
don't troll
with work
Answer:
[tex]y = 50x[/tex]
Step-by-step explanation:
Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
This means we divide the change in y over the change in x
Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)
[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]
Now we have this:
[tex]y = 50x+b[/tex]
Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:
[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]
Since b is 0, we don't have to write it on our equation, meaning that our final equation is just
[tex]y = 50x[/tex]
To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:
[tex]y = 50\cdot 4\\y = 200[/tex]
Just like it is on the graph :)
Good luck!
Ella wants to buy a new uniform for work that costs $32. Her employer promises to pay 20% of the cost, while Ella must pay the rest. How much money will her employer pay?
PLEASE HELP !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
Answer:
I actually can't measure it, but if you will and cmt the measures, I can help you round them!!!
Step-by-step explanation:
find the missing side length
Answer:
The length of the missing side is
[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]
Step-by-step explanation:
You could do Pythagorean theorem which is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]