Step-by-step explanation:
it just means to convert these equations into function definitions.
and a function looks like
y = ... something with x, factors, other functions, constants
1)
x + y = z
y = -x + z or z - x
2)
x - y = z
x - z = y or y = x - z
3)
x × y = z
y = z/x
4)
x/y = z
x = z × y
x/z = y or y = x/z
Circle A has been enlarged to create circleA prime . The picture below shows the diameters of both circles.
Based on the information in the picture, what scale factor was used to create circle A prime ?
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
5/2
Step-by-step explanation:
The ratio of the diameters is equal to the scale factor:
sf = (15 in)/(6 in) = 5/2
The scale factor used to create circle A' is 5/2.
Letting x represent the number of messages over 500, and y the total monthly charges, write
equations representing the charges for plans A and B.
Answer:
x=500
Step-by-step explanation:
Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.
Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.
Answer:
y = 12.5x + 25
Step-by-step explanation:
first, we need to find the cost of the one-time service.
12.50*5.5 = 68.75
93.75 - 68.75 = 25
therefore, the one-time service fee is $25.
liam had to pay $12.50 every hour and thats where we get 12.5x from.
he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.
hope it helps :)
mark brainliest!!
Answer:
if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
8. Twice the greatest of three consecutive integers is 10 more that the smallest integer. Find the 3 integers.
Answer:
6, 7, 8
Step-by-step explanation:
Let the smallest integer be x.
The next greater one is x + 1.
The greatest of the three is x + 2.
Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.
2(x + 2) = x + 10
Solve the equation for x to find the smallest of the integers.
2x + 4 = x + 10
x = 6
The next one is x + 1.
x + 1 = 7
The greatest is x + 2.
x + 2 = 8
Answer: 6, 7, 8
Answer:
6, 7, 8
Step-by-step explanation:
You can set up variables to represent each of these integers.
For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.
Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.
Next solve for x using PEMDAS.
1. (x) + 10 = 2(x + 2)
2. x + 10 = 2x + 4
3. 2x - x = 10 - 4
4. x = 6
Now you can find the other integers by adding 1 and 2 to 6.
The correct answers should be 6, 7, 8.
solve the system of linear equations 3x-2y=16
6x-4y=32
System of Linear Equations entered :
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
// Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
Infinitely many solutions
Answer:
Step-by-step explanation:
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
d ≥ -7 ? (ignore.....................................................................................................................................)
Please help me with this!! I will mark brainlist!!
Answer:
54°
Step-by-step explanation:
Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so [tex]72+x+x=180 \rightarrow 2x=108 \rightarrow x = 54[/tex]
For the equation y = -x +5, find y when x = -3
Answer:
y= 8
Step-by-step explanation:
y= -x +5
To find the value of y when x= -3, substitute -3 into x and solve the equation.
When x= -3,
y= -(-3) +5
y= 3 +5
y= 8
Tickets for a concert cost $8 online plus a $3
processing fee. Tickets for the same show at the
door cost $9 each. How many tickets can you buy so
that the online price and the door price are the
same?
Answer:
3 tickets
Step-by-step explanation:
8x+3 = 9x
x = 3
Estimate a 15% tip on a dinner bill of 79.45 by first rounding the bill amount to the nearest ten dollars.
Answer: 12$
Step-by-step explanation:
We need to round 79.45 to the nearest 10 dollars, which is 80.
We can then get 15% of it easily since its a whole number by adding 10% (8) and 5% (4) to get an estimate of around 12 dollars.
2. Explain the relationship between depression and heart disease.
Answer:
People with depression may have uncommonly sticky platelets, the tiny cells that cause blood to clot. In patients with heart disease, this can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack. Some studies show that treating depression make platelets less sticky again.
Answer:
People with depression may have uncommonly sticky platelets and tiny cells that cause blood to clot.
Patients with heart disease can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack.
For people with heart disease, depression can increase the risk of an adverse cardiac event such as a heart attack or blood clots.
Answer number 2 please.
Answer:
Obtuse scalene triangle
Step-by-step explanation:
1. Angles:
-> Acute triangle: all angles less than 60° -> Right triangle: one angle is 90° -> Obtuse triangle: one angle is greater than 90°- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.
2. Sides:
-> Scalene triangle: all sides have different lengths-> Isosceles triangle: two sides have same length-> Equilateral triangle: all sides are the same- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.
Therefore, the answer is an obtuse scalene triangle.
Potential energy is described as
Question 1 options:
Stored energy
Decreasing energy
Movement
Friction
Answer:
Stored energy
Step-by-step explanation:
I NEED TO FINISH THESE BY NEXT WEEK>
Answer:
domain is (2,-3)
range is (1)
solve pls brainliest
1. None, it makes a cylinder
2. C
3. B
4. A
HELPP HURRYYYY !!
have to be turned in soon
Answer:
Faster the deadline is so close let me sing
Super idol di show lung domini ding shaw
Super idol di show lung domini ding shaw
Super idol di show lung domini ding shaw
− 2 5 x − 9 < 9 10 solve and show work please I need help
Answer:
= -36.4
Step-by-step explanation:
- 25 x - 9 < 910
Add 9 to both sides
- 25 x < 919
Divide -25 to both sides
- 25 / - 25 < 919 / - 25
= -36.4
Is the expression 32. 3-3 equivalent to 33.3-27 Explain.
[tex]combine \: any \: like \: terms \: on \\ each \: side \: of \: the \: equation \: x - \\ terms \: with \: x - terms \: and \\ constant \: with \: constant.[/tex]
Hello there! :)
3-3 =0
33.3-27=6.3
So these two expressions are equivalent.
Expressions are equivalent (equal) when they equal the same number.
Example: 5*4 and 15+5 are equivalent.
Hope this helps!
Please mark brainliest!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex] here to help
Robert is making a photo album. 12 photos fit on a page. How many pages will he need for 432 photos?
Answer:
12 photos fit on page = 1
432 photos fit on page = 432/12
= 36 pages
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
36 pages
Step-by-step explanation:
There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:
[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]
You can see that the units for photos cancel out, resulting in units for pages.
So, Robert will need 36 pages in order to fit all 432 photos into his photo album.
Elisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo
recent ecological survey showed that the ratio of deer to foxes was 7 to 3 in one county in Texas. If there were 210 foxes in the county, what was the number of deer in the county?
Answer:490
Step-by-step explanation:
A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the percent decrease
Answer:
50% decrease
Step-by-step explanation:
50% = half
half of 42 is 21
there are 21 left, so 21 (which is half or 50%) were adopted
What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.
To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE
The z-score with a confidence level of 95% is 1.96Reasons:
The margin of error, MOE, is required when finding a sample mean of a
statistic, which specifies the range within which the true mean is located;
The margin of error is given by the formula;
[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]
Where:
σ = The standard deviation of the population
n = The sample size
[tex]z^*[/tex] = The z-value based on the applied confidence level.
Using the associated standard normal distribution table, by finding the
area between the z-score and the negative z-score, we have that 95% will
be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%
Therefore;
The z-score at 95% = 1.96
Learn more about z-score here:
https://brainly.com/question/6096474
Use the distributive property and then combine like terms to simplify each expression. 4(x-2) + 4(x + 4)-(8x + 1)
Answer:
8(×2)+8(×+4)-(4×+9)
True or false: The relationship among the triple constraint variables is such that if any one changes, at least oneother is likely to be affected.
We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.
A relationship among the triple constraint variables is written as:
y = f(x, z)
Where the 3 variables are x, y, and z and represent cost, scope, and time.
This means that if either x or z changes, also does y.
And we always can rewrite the relationship in two other forms:
x = g(z, y)
z = h(x, y)
Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.
If you want to learn more, you can read:
https://brainly.com/question/25368922
How to find if a triangle is obtuse acute or right.
PLEASE HELP ME WITH THESE MATH PROBLEMS!! DUE TONIGHT!!
Answer:
a) 20.9ft b)148.5ft c)98.2ft d)50.3
Step-by-step explanation:
for a, b and c you can use SOHCAHTOA
a) sin(8)=height/150 so height=150sin(8)
b)cos(8)=distance/150 rearrange the same way
c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle
d) subtract the value found in c from the value found in a
Of 14 possible books you plan to take 8 with you on vacation how many possible coalitions of 8 could you have?
Answer:
let me think about this
Step-by-step explanation:
question i may help
This is a combination equation:
14C8 = 14!/8!(6!) = 3003
Answer: 3003
Do number 6. This is not a quiz
Answer:
C
Step-by-step explanation:
B . -A . -b . -b . +a . +b . +c
b + b -b -b +a -a +c
c
Option A charges $500 for the year and $65 each time she visits the doctor. Option B charges only $300 for the year but $95 for each doctor's visit. How many visits will she have to make in a year for Option A to be the better deal?
Answer:
6 visits will she have to make in a year for Option A to be a better deal
Step-by-step explanation: