Answer:
we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
Step-by-step explanation:
Given the equation
[tex]-3x^2-36x=300[/tex]
First of all, we need to divide both sides by -3 to simplify it
i.e.
[tex]\frac{-3x^2-36x}{-3}=\frac{300}{-3}[/tex]
[tex]x^2+12x=-100[/tex]
In order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex], we need to add a²=6² to both sides
[tex]x^2+12x+6^2=-100+6^2[/tex]
so
[tex]\left(x+6\right)^2=-64[/tex]
Therefore, we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
use the elimination method to solve the system of equations. choose the correct ordered pair. 7x+3y=30 -2x+3y=3
Answer:
x = 3, y = 3
Step-by-step explanation:
Elimination method to find x:
(7x + 3y = 30) * -1 ===> -7x - 3y = -30
-2x + 3y = 3
add two equations to eliminate y ______________
-9x = -27 ===> x = 3
substitution to find y:
-2x + 3y = 3
-2(3) + 3y = 3
-6 + 3y = 3
3y = 9
y = 3
Elimination method to find y:
(7x + 3y = 30) * 2 ===> 14x + 6y = 60
(-2x + 3y = 3) * 7 ===> -14x + 21y = 21
add two equations to eliminate x ______________
27y = 81 ===> y = 3
-100x - 100 = 0
-100x = ?
x = ?
Answer:
x = 100
Step-by-step explanation:
-100x - 100 = -100x
+100= +100
-100x= -100x + 100
x=100
Answer:
x = 100
Step-by-step explanation:
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Question
Laura's sporting goods store purchased a bicycle at the wholesale price of $400. Laura marked up the price 22%. What is
the amount of markup?
Provide your answer below:
B FEEDBACK
MORE INSTRUCTION
SUBMIT
Content attribution
Answer:
The amount of markup is 88 dollars.
Step-by-step explanation:
Given that the whole sale price of bicycle is: $400
[tex]P = \$400[/tex]
Mark up is the profit that the seller of the product makes after selling the product more in price more than its cost or buying price.
Given that mark up percentage is 22%
It can be written mathematically as:
[tex]Mark\ up = 22\%\ of\ Price\\Mark\ up = 0.22 * P\\Mark\ up = 0.22 * 400\\= \$88[/tex]
Hence,
The amount of markup is 88 dollars.
I would appreciate the help!
Answer:
its b I'm pretty sure. it makes the most sense i
Answer:
A
Step-by-step explanation:
Multiply 15 by 8 to get 120. 120 + 15 × 11 = 285. 285 + 15 × 22 = 615. 615 + 20 × 7 = 755. 755 + 20 × 6 = 875. 875 + 20 × 14 = 1,155. 1,155 - 292.58 = 862.42. 862.42 - 292.58 = 569.84. Remember PEMDAS.
Is this a function please help I’m failing
Answer:
Yes
Step-by-step explanation:
The relation is a function. For a relation to be a function there must be a unique x value for each y value. So this means x's can not repeat, and in this relation, the x-values never repeat. Therefore this is a function.
The following equations involve different quantities and use different operations, yet produce the same result (4.13 x 103 = 4130 & 413,000 ÷ 102 = 4130) Use any strategy and words to explain why this is true
Answer:
fzdgxfmhcgj,hvjb.√∆≤ç˙
Step-by-step explanation:
Answer:
heyyyyyyyyyyyyyyy
Step-by-step explanation:
Two lines are perpendicular. The slope of the first line is 3/5. What is the slope of the second line?
-5/3
Step-by-step explanation:
m1 = 3/5
m1 * m2 = - 1. For a pair of perpendicular line.
Usking that m2 = - 5/3
Find the value of k so that the line going through the points A(2,7) and B(k, 5)
is parallel to the line y=12x-1
Answer:
Step-by-step explanation:
parallel line y=12x+c
put this point A(2,7)
7=12*2+c
c=-17
so the equation is y=12x-17
now put the point B
k=12*5-17
k=43
52.35 for 15 gallons
Nancy Boone’s new automobile had an MSRP of $27,853.00. The dealer prep charge was $278.50 and the title fee was $25.00. Options totaled $2,375.50. Find the sales tax rate, to nearest hundredth percent, if the total cost was $32,591.22 and the sales tax applied to everything but the title fee.
Answer:
The sales tax included in the sale of the car is 15.76%.
Step-by-step explanation:
Given that the MSRP of the car bought by Nancy Boone is $ 27,853, and the total cost of the car was $ 32,591.22, including sales tax, plus a dealer prep charge of $ 278.50 and a title fee of $ 25, to find out the percentage of sales tax ( which does not include the title fee) it is necessary to perform the following calculation:
32,591.22 - 25 = 32,566.22
27,853 + 278.5 = 100
32,566.22 = X
28,131.5 = 100
32,566.22 = X
(32,566.22 x 100) / 28,131.5 = X
3,256,622 / 28,131.5 = X
115.76 = X
115.76 - 100 = 15.76
Thus, the sales tax included in the sale of the car is 15.76%.
the scale on a blueprint for a new apartment is 1 in equals 4 feet if the length of the living room on the blueprint is 6 in, what is going to be the actual length of the living room?
Answer:
The actual length of the living room is 24 feet.
Step-by-step explanation:
Scaling
The scaling on a blueprint for an apartment is:
1 inch = 4 feet
This means every 1 inch measured on the blueprint corresponds to 4 feet on the real length of the apartment.
We know the length of the living room in the blueprint is 6 inches, thus the real dimension of the living rooms is:
6 * 4 = 24 feet
The actual length of the living room is 24 feet.
(s+12)+(-3s-8) equals?
Answer:
-2s + 4
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Define expression
(s + 12) + (-3s - 8)
Step 2: Simplify
Combine like terms (s): -2s + 12 - 8Combine like terms (constants): -2s + 4Researchers are conducting a survey about what brand of ice cream shoppers prefer. They survey the tenth person who walks into the store and then every fifth person after that. This type of sampling is called
Answer:
Researchers are performing a study of what type of ice cream shoppers want. They're looking at the tenth person who goes to the shop, and every fifth person after that. This type of sampling is referred to as a random sampling.
Answer:
A. systematic random sampling.
Step-by-step explanation:
у
Test Scores in Relation to Homework
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Draw a line of the best fit on the graph
Irina’s basketball team has a 1 in 6 chance of winning the first-place trophy. She rolled a six-sided number cube repeatedly, assigning her team a number from 1 to 6 to demonstrate the probability that her team would win. Which method did she use to collect her data? survey simulation experiment observational study
Answer:
b is right (simulation)
Step-by-step explanation:
edg
The method of data collection used is the simulation method
What is a number cube?A number cube (also known as a die) is a device that is used in simulating probabilities
Below is how to determine the method she used.
From the question, we have the following highlights:
Chance of winning = 1/6She rolls a number cubeThe outcome is assigned to the team that would winThe highlight 3 above implies that the method of data collection used in this question is the simulation method
This is so because the winning team is determined by rolling a number cube
Read more about random sampling at:
https://brainly.com/question/14470673
Please help I’m struggling on this topic
Apple launches an ad campaign for iPhone 12. Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign. How many social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2% (ME=0.02)?
Answer:
social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%
Sample size 'n' = 625
Step-by-step explanation:
Step(i):-
Given data Apple launches an ad campaign for iPhone 12
Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign
probability of positive reactions p = 1/2
Probability of negative reactions q = 1-p = 1/2
we know that [tex]\sqrt{p(1-p}\leq \frac{1}{2}[/tex]
Step(ii):-
Given margin of error = 2 % =0.02
The margin of error is determined by
[tex]M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }[/tex]
[tex]0.02 = \frac{\frac{1}{2} }{\sqrt{n} }[/tex]
[tex]\sqrt{n} =\frac{1}{2 X0.02}[/tex]
√n = 25
squaring on both sides, we get
n = 625
3
If a is 63% of x and c is of x, which of the following is
8
the closest equivalent of the ratio of a to c?
3
Answer:
The closet equivalent of the ratio of 'a' to 'c' is:
[tex]\frac{a}{c}=1.680\:[/tex]
Step-by-step explanation:
Given
a is 63% of xi.e.
a=0.63x
c is 3/8 of x.i.e.
c=3/8x
Hence,
[tex]\frac{a}{c}=\frac{0.63x}{\frac{3}{8}x}[/tex]
[tex]\frac{a}{c}=1.680\:[/tex]
Thus, the closet equivalent of the ratio of 'a' to 'c' is:
[tex]\frac{a}{c}=1.680\:[/tex]
Zeke has swim club every 2 days and robotics Club every 8 days.
This month, he has swim club on the 2nd day of the month and robotics club on the 8th day of the month.
Zeke says that the first time he will have both clubs on the same day is the 16th day of the month because the LCM of 2 and 8 is 16.
Answer: No. Zeke found the LCM to be the product of two and eight but because eight is a multiple of two the LCM is eight so the first day he will have both clubs is the 8th day of the month
Step-by-step explanation:
all you have to do is fine the least common multiple of 2 and 8 which is eight so obviously zeke is incorrect because they said the least common multiple was 16 and it is not. zeke multiplied 2 and 8 which is not what you’re supposed to do to get the lcm.
Joe’s Car service charges $5 to pick up passengers, plus 1.25 for each mile. Write an equation for the function that relates to the total cost of a trip to the distance. Also identify the slope and the y-intercept of the function.
Answer:
Initial fee charged = $5
Fee charged for a mile = $1.25
No. of miles traveled = x
Total fee charged = 5 + 1.25x
Slope = 1.25
y-intercept = 5
A four-year college’s application process takes into account all of the following except. HELP MEEEEE
Answer:
C. middle school grades
Step-by-step explanation:
Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.
Hope this helps :)
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work
Answer:
[tex]x=\frac{d+c}{a-b}[/tex]
Step-by-step explanation:
The equation is:
a x - c = b x + d
so we subtract b x from both sides to group the terms that contain x on the left:
a x - b x - c = d
add c to both sides to isolate the terms in x on the left:
a x - b x = d + c
extract "x" as common factor on the left:
x (a - b) = d + c
divide both sides by the quantity (a - b) to isolate the "x":
x = (d + c) / (a - b)
or: [tex]x=\frac{d+c}{a-b}[/tex]
Simplify 13w + 22 + 2w -25
Answer:
15w -3
Step-by-step explanation:
13w + 22 + 2w -25
15w -3
Answer:
15w - 3
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Define expression
13w + 22 + 2w - 25
Step 2: Simplify
Combine like terms (w): 15w + 22 - 25Combine like terms (constants): 15w - 3What slope would make the lines
perpendicular?
y. = }x+6
= [?]x+ 3
Answer:
to make it perpendicular the slope as to be -5 (opposite reciprocal of the original)
Jane has saved 600 dollars in a college fund. She added money to the account over the next year and at the end of the year the account had 890 dollars. Write an equation to represent the amount she saved over the year.
Answer:
$290.00
Step-by-step explanation:
The equation would be 890-600=290 because if you subtract the base amount from the final savings it would give you how much she saved altogether.
what is 903 minus 538
Answer: Your answer is 365
Step-by-step explanation: Hoped this helped you. And have a wonderful day!!!
The final result of 903 - 538 is 365.
To subtract 538 from 903, you perform the following calculation:
903 - 538 = 365
To explain the process, you start with the number 903 (minuend) and subtract 538 (subtrahend) from it.
1. Begin with the units place: 3 - 8. Since 8 is greater than 3, you borrow 1 from the tens place. The units place becomes 3 + 10 (borrowed) - 8 = 5.
2. Move to the tens place: 0 (in 903) - 3 (borrowed) - 3 (from 538) = -6.
3. Lastly, the hundreds place: 9 - 5 (from 538) = 4.
To know more about final result:
https://brainly.com/question/9163788
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Evaluate the factorial expression.
19!
16!(3 - 1)!
Answer:
2907Step-by-step explanation:
19!/16!(3-1)! =16!*17*18*19/16!2! =17*18*19/1*2 = 17*9*19 =2907What is the ratio of the rise over runof the line 2x -6y = 12?
Answer:
1/3
Step-by-step explanation:
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the time it took her to travel different distances at this speed Enter
your answer as a decimal
What is the value of A?
distance traveled ]
you're not specific enough, but i took the test and..
miles minutes
2 ║ 8
1 ║ 4
1/4 ║ 1
Please help ASAP I don’t know how to do this
∆HGJ is isosceles
hence, angleH = angle J
8x = 6x + 18
8x - 6x = 18
2x = 18
x = 18/2
x = 9
angleH = 8x = 8×9 = 72
angleH =72°