Answer:
In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!
Step-by-step explanation:
Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
0 < I<3
f(0) =
100.5 + 5,024
3
-12 + 53 +5,630, 6
(4,000(1.1)",
What were the boutique's monthly sales when Jenny first began tracking the data?
A
$4,000
В.
$5.324
C. $5,616
D. $4,400
Answer:
It's A.
Step-by-step explanation:
I just did it on edmentum (plato)
hope this helps!!
vote brainliest if it did!
:))))
The boutique's monthly sales when Jenny first began tracking the data is 4000
What is piecewise function?
A function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain).
Given:
According to given function we can say that there x represent the number of month.
So, if jenny begin tracking the data then jenny spend 0 month on working
Thus, we will use the function
f(x)= 4000*(1.1)^x
f(x)= 4000*(1.1)^0
f(x)= 4000
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Explain why (4, 1) is not a solution to the equation y=3x+1
Please help me! I will mark brainliest!! <3
In (4, 1) 4 represents x, and 1 represents y
y = 3x + 1
1 = 3(4)+1
1 = 12 + 1
1 ≠ 13 ← sides are not equal so (4, 1) is not a solution to y=3x+1
Hiiiii.
How are you?
I like to be Friends.
338 points in 16 games. how many points did they make per game?
A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.
Answer:
The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.
Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.
You can see the image below, where i did a rough sketch of the problem.
in the image, you can see that the sides of this rectangle are the ones formed by the pairs:
(-4,3) and (-2, 8)
(-2, 8) and (2, 5)
(2,5 ) and (1, -7)
(1, - 7) and (-4, 3)
Now let's calculate the length of each side.
Remember that when we have two points (a, b) and (c, d) the distance is:
D = √( (a - c)^2 + (b - d)^2)
Now we need to calculate four distances:
(-4,3) and (-2, 8)
D1 = √( (-4 + 2)^2 + (3 - 8)^2) = 5.39
(-2, 8) and (2, 5)
D2 = √( (-2 - 2)^2 + (8 - 5)^2) = 5
(2,5 ) and (1, -7)
D3 = √( (2 - 1)^2 + (5 + 7)^2) = 12.04
(1, - 7) and (-4, 3)
D4 = √( (1 +4)^2 + (-7 -3)^2) = 11.18
Now we add those four distances to get the perimeter:
P = 5.39 + 5 + 12.04 + 11.18 = 33.61
And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:
p = 37
The football team scored 128 total points last season. This year they scored 144 total points. What is the percent of change?
Answer:
88%.
Step-by-step explanation:
Answer:
12.5% increase
Step-by-step explanation:
Take the difference in points
144-128 = 16
And divide by the original number of points
16/128 =.125
Change to percent form
12.5%
Since the points went up it is an increase
12.5% increase
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image
Answer:
i
Step-by-step explanation:
dk
NEED HELP ASAP!
p:Memorial Day is in July q:Parallel lines never
intersect
Which represents the symbolic notation of the compound statement below?
“Memorial Day is in July or parallel lines intersect.”
Answer:
Option (C)
Step-by-step explanation:
Two statements given in the question are,
p: Memorial Day is in July
q: Parallel lines never intersect
We have to tell the represent the symbolic notation of the compound statement,
"Memorial Day is in July or parallel lines intersect"
Here word 'Or' is combining these statements.
We know word 'Or' means Disjunction which is denoted by the symbol (∨).
So the compound statement will be denoted by p ∨ q.
Option (C) will be the answer.
Please help:( I’ll mark brianly
Answer:13.D 14.C
Step-by-step explanation:
PLZ HELP ME ASAP!!!
Which of the following is equivalent to the ratio of 14 minutes to 62 minutes?
1. 1 : 3
2. 7 : 31
3. 1 : 9
4. 7 : 40
Answer:
2. 7 : 31
Step-by-step explanation:
7 * 2 = 14
31 * 2 = 62
7 : 31
14 : 62
Write an equation of a line in slope-intercept form, which is passing through the point (8, −6) and is parallel to another line, whose slope is −2
Answer:
y=-2x+10
Step-by-step explanation:
slope intercept is written as y=mx+b
the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.
hope this helps!
Answer:
y=-2x+10
Step-by-step explanation:
Hello there!
First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)
Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b
Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:
-6 = -2*8 + b
-6 = -16 + b
(add 16 to both sides)
10 = b (or b=10)
Now that we have all of the parts we need, our answer will be y=-2x+10
Hope this helped!
−8 1/4+3 1/4
The "1/4" counts as a fraction. :)
Please help!!
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK
Answer:
33 cups of sugar should be used
Step-by-step explanation:
subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used
42 cups of sugar should be used if 21 cups of flour are used
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar
We need to find cups of sugar should be used if 21 cups of flour are used
Let us consider x as cups of sugar should be used if 21 cups of flour are used
Let us form an equation to find x
12/24=21/x
Apply cross multiplication
12x=21×24
12x=504
Divide both sides by 12
x=504/12
x=42
Hence, 42 cups of sugar should be used if 21 cups of flour are used
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Write the sentence as an inequality. A number x is less than 7 and greater than 3
The inequality as per the given statement will be equal to 3 < x < 7.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the information in the question,
Let the number is x.
x is less than 7.
x < 7 and,
x is greater than 3,
So, x > 3
So, it can be written in combined form as:
3 < x < 7
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Resolve the following equations
3x+4=2
What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answer:
y = x + 2
Step-by-step explanation:
Which one?
A. B. C. or D?
The answer is to the question is c.11
Fully Simplify (multiplying imaginary numbers)
(-3_/-63) (9_/7)
See attachment for math work and answer.
Can somebody please help?
Answer:
1. real number, irrational number
2. rational number, real number
I really need help with this
Answer:
Did this help??
Step-by-step explanation:
a.) 5x = m
5x = you and four friends.
m = money for food
b.) Plug in
5(5.25) = m
26.25 = m
Water is steadily dripping from a faucet into a bowl. You want to write an equation that represents the number of milliliters y of water in the bowl after . What is the constant of proportionality for the relationship between the number of milliliters y of water in the bowl and the time in seconds x? What is the equation? Water from Dripping Faucet Time in Seconds (x) Milliliters in Bowl (y) 20 320 35 560 45 720 60 960
9514 1404 393
Answer:
k = 16y = 16xStep-by-step explanation:
y is proportional to x when it satisfies the equation ...
y = kx
where k is the constant of proportionality. The equation can be solved for k by dividing by x:
k = y/x
The value of k for the given relation is ...
k = (320 mL)/(20 s)
k = 16 mL/s . . . the constant of proportionality
Then the equation is ...
y = 16x
Whats the answer? I will give brainliest if correct♡︎ꨄシ
Answer:
b isnt a fuction
Step-by-step explanation:
Answer:B
Step-by-step explanation:
someone please help me with this! please write out the steps as well, thank you!
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
The charge for a cab ride in one city is modeled by the function f(m)=4+2.5m where m is the number of miles driven. What is the charge for a 12 mile cab ride?
Answer:
34
Step-by-step explanation:
Plugin 12 for x
f(12)=4+2.5(12)
2.5 times 12=30
30+4=34
How many solutions does the equation 4x +2(x-5)=3(2x-4) have?
Answer:
no solutions
Step-by-step explanation:
Given
4x + 2(x - 5) = 3(2x - 4) ← distribute parenthesis on both sides
4x + 2x - 10 = 6x - 12
6x - 10 = 6x - 12 ( add 10 to both sides )
6x = 6x - 2 ( subtract 6x from both sides )
0 = - 2 ← not possible
This indicates the equation has no solution
240 projects in 15 days =
projects per day
Answer:
Step-by-step explanation:
240/15 is 16 projects per day
Answer:
16 projects per day
Step-by-step explanation:
Take the number of projects and divide by the number of days
240/15
16 projects per day
Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On Monday she read 1 and 1 over 3 hours, Tuesday she read 3 over 4 of an hour and Thursday she read 3 hours. How many total hours does she still need to read in order to get full credit?
Given:
She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.
Monday she read [tex]1\dfrac{1}{3}[/tex] hours.
Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.
Thursday she read 3 hours.
To find:
The total hours does she still need to read in order to get full credit.
Solution:
Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.
Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{16+9+36}{12}[/tex] hours
[tex]=\dfrac{61}{12}[/tex] hours
Now,
Remaining time = Total time - Total time she already read
[tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]
[tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]
[tex]=\dfrac{130-61}{12}[/tex]
[tex]=\dfrac{69}{12}[/tex]
[tex]=\dfrac{23}{4}[/tex]
[tex]=5\dfrac{3}{4}[/tex]
Therefore, the required time is [tex]5\dfrac{3}{4}[/tex] hours.
please help find the slope!!
Answer:
undefined
Step-by-step explanation:
I don't know if it's correct or not. But hope it is
Answer:
-7
Step-by-step explanation:
The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7
-1+10x^3+x^2
−1+10x
3
+x
2
Answer:
=20x3+2x2−2
Step-by-step explanation:
Let's simplify step-by-step.
−1+10x3+x2−1+10x3+x2
=−1+10x3+x2+−1+10x3+x2
Combine Like Terms:
=−1+10x3+x2+−1+10x3+x2
=(10x3+10x3)+(x2+x2)+(−1+−1)
=20x3+2x2+−2
Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?