Answer:
[tex]x = -6.5c[/tex]
[tex]c = -\frac{x}{6.5}[/tex]
Step-by-step explanation:
In both cases, you are simply isolating the variable you are trying to solve for:
[tex]\frac{-x}{c} = 6.5[/tex]
Solve for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply c to both sides, and then divide -1 from both sides:
[tex]\frac{-x}{c} = 6.5\\\frac{-x}{c} * c = 6.5 * c\\-x = 6.5c\\\frac{-x}{-1} = \frac{6.5c}{-1}\\x = -6.5c[/tex]
Solve for c. Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Multiply -1/x to both sides of the equation:
[tex]\frac{-x}{c} = 6.5\\\frac{-x}{c}(c)) = 6.5(c) \\-x = 6.5c\\\frac{-x}{6.5} = \frac{6.5c}{6.5}\\c = -\frac{x}{6.5}[/tex]
Answer:
x = -6.5c
-x/6.5 = c
Step-by-step explanation:
-x/c=6.5
Multiply each side by -c
-x/c * -c=6.5*-c
x = -6.5c
-x/c=6.5
Multiply each side by c
-x/c *c=6.5*c
-x = 6.5c
Divide each side by 6.5
-x/6.5 = 6.5c/6.5
-x/6.5 = c
Please help explanation if possible
Answer:
Step-by-step explanation:
Subtract 3x from both sides
3x - 3x - 2y = -3x + y
Combine
-2y = - 3x + 7
Divide by - 2
-2y/-2 = -3x/-2 + 7/-2
y = 3x/2 - 7/2
How do I solve this problem? The trouble that I have is evaluating if 2^∞ or ∞³ is larger?
For large enough x, exponential functions like 2ˣ will always dominate a polynomial of any degree. This is to say the denominator will always be larger than the numerator (again, for sufficiently large x). So the limit in this case would be 0. (I'll leave a link in comments to a variety of answers regarding this detail.)
But if you've been introduced to L'Hopital's rule: we have
[tex]\displaystyle \lim_{x\to\infty}\frac{5x^3+10}{6\times2^x-1} = \lim_{x\to\infty}\frac{15x^2}{6\ln(2)\times2^x} = \lim_{x\to\infty}\frac{30x}{6\ln^2(2)\times2^x} = \lim_{x\to\infty}\frac{30}{6\ln^3(2)\times2^x} = \frac1\infty = 0[/tex]
 A Popsicle store at the beach is comparing their monthly revenue with the sunglasses store next door. The shop owners find that their monthly revenue is positive correlated. This means that eating Popsicles causes people to buy sunglasses.
True or false?
Answer:
false
Step-by-step explanation:
correlation doesn't mean causation-
one doesn't necessarily affect the other, can just be conditions (such as weather) or coincidence
a baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 224 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
3 inches
7 inches
8 inches
4 inches
The length of the rectangular delivery box must be equal to 4 inches.
Let the length of the box be L.
Let the width of the box be W.
Let the height of the box be H.
Given the following data:
Volume of box = 224 cubic inches.Translating the word problem into an algebraic expression;
[tex]W = 3 + L[/tex] ......equation 1
[tex]H = 4 + L[/tex] ......equation 2.
Mathematically, the volume of a rectangular solid is given by the formula;
[tex]Volume = length * width * height[/tex] .....equation 3.
Substituting the values into equation, we have;
[tex]224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}[/tex]
Rearranging the polynomial, we have;
[tex]L^{3} + 7L^{2} + 12L - 224 = 0[/tex]
We would apply the remainder theorem to solve the polynomial.
According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.
When x = 3
[tex](x - 3) = 0\\x = 3[/tex]
[tex]P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0[/tex]
We would try with 4;
[tex]P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0[/tex]
Therefore, 4 is one of its roots.
Hence, the length of the rectangular delivery box must be equal to 4 inches.
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There are 9 classes of 25 students each, 4 teachers, and 2 times as many parent volunteers as teachers.
Each bus holds a total of 45 people.
What is the least number of buses needed for the field trip?
the answer Is found in the question
The least number of buses required for the trip will be 5 buses.
What is the Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Total number of classes = 9
Number of students in each class = 25
Number of teachers = 4
Number of chaperones = Double of teacher
Bus hold = 45 people
A total number of students.
= 9 × 25
= 225
A number of chaperones.
= 4 × 2
= 8
Total people = 225 + 8 + 4 = 237
Least number of buses required for trip = Total people / Bus hold
= 237 / 45
= 5.266
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Graph the inequality on a separate sheet of paper. Then explain how you would determine if(-1,-4) is a solution by
looking at the graph.
Step-by-step explanation:
Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not
Which equation is equivalent to x^2 +24-8=0?
A.(x+12)^2 =152
B.(x-12)^2=136
C.(x+8)^2=144
D.(x+12)^2 =144
Answer:
D) is your correct answer
PLEASE HELP
WILL THANK YOU AND GIVE BRAINLIEST
Answer:
15. 6444.44445
14. 484
Step-by-step explanation:
If you apply the changes below to the absolute value parent function, 1(x) = 1X, what is the equation of the new function? Shift 8 units left. • Shift 3 units down. O A. g(x) = (x + 81 - 3 O B. g(x) B. g(x) = (x - 3| + 8 O c. g(x) = [X - 31- 8 D. g(x) = (x - 8 - 3
Answer:
A. g(x) = |x + 8| - 3Step-by-step explanation:
If the function is f(x), then shift 8 units left and 3 units down will result in:
g(x) = f(x + 8) - 3Apply to the given function to get:
g(x) = |x + 8| - 3Correct choice is A
a coin is tossed and a number cube is rolled. What is the probability of tossing heads and rolling a 3 or a 5
Answer: 1/6
Step-by-step explanation:
Probability of getting heads = 50/100
= 1/2
Probability of tossing a 3 or 5 = 2/6
= 1/3
Now probability of getting both = 1/2×1/3
= 1/6
Please click thanks and mark brainliest if you like
Answer:
1/6
Step-by-step explanation:
There are two possible outcomes for tossing a coin
heads and tails
P(heads)= heads/ total = 1/2
Rolling a die has 6 possible outcomes 1,2,3,4,5,6
P*3 or 5) = 3 or 5 /total = 2/6 = 1/3
Multiply the probability of independent events together
1/2 * 1/3 = 1/6
PLEASE HELP ME I NEED HELP
Answer:
V = 1/32 yd^3
Step-by-step explanation:
To find the volume
V= l*w*h where l is length, w is width, and h is height
V = 1/4 * 1/4 * 1/2
V = 1/32 yd^3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
In December, Doug's guitar store sold 10 acoustic guitars and 12 electric guitars. In January, they sold 13 acoustic guitars and 16 electric guitars. During which month did the guitar store sell a lower ratio of acoustic guitars to electric guitars?
A. not enough information
B. January
C. neither, the ratios are equivalent
D. December
Answer:
December
Step-by-step explanation:
December: acoustic/ electric =10/12 = 5/6
January : 13/16
Get a common denominator of 48
5/6 *8/8 = 40/48 for December
13/16 * 3/3 =39/48 for January
December has a higher ratio
Please answer ASAP thank you and please I will mark you as a brainlist
Answer:
6 1/6 or 6 2/12
Step-by-step explanation:
2 4/6 + 3 1/2
Get a common denominator
2 4/6 + 3 1/2 * 3/3
2 4/6 + 3 3/6
5 7/6
Rewriting
5 6/6 + 1/6
6 1/6
BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answer:
(0.5,3)
Hope this helps..Have a good day!!
Please help I if you can thank you do much
Answer:
A. (Pay as you go) $120 B. (Regular deal) $90 C. (All-in-one price!) $100 D. The "Regular deal" option would be the least expensive for Carl.
Step-by-step explanation:
If Carl does the "Pay as you go" option he would be charged $6 each time. If he works out 20 times a month, we can multiply 20 by 6 to get a total of $120 for that option.
If Carl does the "Regular deal" option he would be charged $50 + an additional $2 for each time he works out. From there, we can get the equation 2x + 50 where x is the amount of time he works out. If we plug in 20 for x (as he works out 20 times a month), we get 2(20) + 50 which equals a total of $90 for that option.
If Carl does the "All-in-one Price!" option he would be charged $100 for the whole month meaning he has unlimited use of the gym with no extra charge besides the $100.
The cheapest option is the "Regular deal" option as it charges $90 compared to the $100 for the "All-in-one Price!" option & the $120 for the "Pay as you go" option.
Madeline is renting bowling shoes for $3.50 every time she goes bowling. She could get a good pair of bowling shoes for $68.
If she goes once every two weeks during the year, would it be less expensive to rent or buy?
A Buy
B Rent
Answer:
rent would be cheaper
Step-by-step explanation:
1.50 x 26 = $39 or $48 for a pair
it would be nine dollars cheaper to rent than to buy
Iit would be less if she rent the shoes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Madeline is renting bowling shoes for $3.50 every time she goes bowling.
she goes once every two weeks during the year.
In a year there are 52 weeks.
As she is going once every two weeks during the year, so let us divide 52 by 2, 52/2=26
Rent for each bowling is 3.50
So for 26 times it would be 26×3.50
If she goes once every two weeks during the year, then the rent amount will be $91.
As She could get a good pair of bowling shoes for $68.
91 is greater than 68
So, it would be less expensive if she rent the shoes.
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Type the correct answer in the box. Use numerals instead of words.
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade?
The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her $50 is given by the function p(g) =
.
Answer:
1g - 50 = p(g)
Step-by-step explanation:
The profit function is,
⇒ p(g) = g - 50
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Betty sets up a lemonade stand and charges $1 per glass.
It cost her $50 to set up the stand.
And, We have to find the function gives the profit, p, she makes by selling g glasses of lemonade.
Now, The number of glasses of lemonade sold = g,
And, A profit, p by function p(g)
Setup cost = $50
Since, Charges for 1 glass = 1 $
Hence, Charges for g glasses = 1.g = $g
Here, The cost = $50
Hence, Profit = $g - 50
⇒ p(g) = g - 50
Therefore, The profit function is,
⇒ p(g) = g - 50
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Can anyone help?
For what values of K does the equation (2k+1)x^2 +2x= 10x - 6 have two real and equal roots?
For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.
Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.
So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6
(2k + 1)x² - 8x + 6 = 0
For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.
For the equation to have two real and equal roots, its discriminant, D = 0.
D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.
So, D = b² - 4ac
D = (-8)² - 4 × (2k + 1) × 6 = 0
64 - 24(2k + 1) = 0
Dividing through by 8, we have
8 - 3(2k + 1) = 0
Expanding the bracket, we have
8 - 6k - 3 = 0
Collecting like terms, we have
-6k + 5 = 0
Subtracting 5 from both sides, we have
-6k = -5
Dividing through by -6, we have
k = -5/-6
k = 5/6
So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.
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Geometry, please answer question ASAP
Answer:
D) 12.2
Step-by-step explanation:
EH is median
FH = HG
6x - 1.1 = 4x + 1.3
Add 1.1 to both sides
6x = 4x + 1.3 + 1.1
6x = 4x + 2.4
Subtract 4x from both sides
6x - 4x = 2.4
2x = 2.4
Divide both sides by 2
x = 2.4/2
x = 1.2
FH = 6x - 1.1
= 6*1.2 - 1.1
= 7.2 - 1.1
= 6.1
FG = 6.1 + 6.1 = 12.2
1) factories x^2+7x
2) factories 6+9x
3) factories 6y^2-9xy
Step-by-step explanation:
it was helpful to you
always be happy in your life㋛︎㋛︎☺︎︎☺︎︎☺︎︎
[tex] {x}^{2} + 7x \\ x(x + 7) \\ \\ \\ 6 + 9x \\ 3(2 + 3x) \\ \\ 6 {y}^{2} - 9xy \\ 3x(2y - 3x)[/tex]
5x = -y + 6 solve for y
-5y + 10x = 5 solve for y
6y = -3x + 12 solve for y
Step-by-step explanation:
a)-5x+6=y
b)2x-1=y
c) -3/6x+2=y
Step-by-step explanation:
5x = -y + 6
y = 6-5x
-5y +10x = 5
5y = 10x -5
y = 10x-5/5
y = 2x -1
6y = -3x+12
y = -3x+12/6 = -1/4x +2
who will give my answer I will mark them as brainliest
Answer:
41+-3=38
the rule in exponent says to subtract and take higher no. sign in addition
The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
To obtain an estimate of a parameter of a population, we use confidence intervals.
Confidence intervals:
The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.
Thus, you should select the highest sample size in the options.
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Add.
(4x2 – 2x) + (5x - 7)
O A. 9x2 - 9x
B. 4x2 + 3x-7
C. 20x3 - 38x2 + 14x
O D. 4x2 - 7x+7
SUBMIT
Answer:
4x^2 +3x -7
Step-by-step explanation:
(4x^2 – 2x) + (5x - 7)
Combine like terms
4x^2 -2x+5x -7
4x^2 +3x -7
( 4x² - 2x ) + ( 5x - 7 )
Now , adding like terms.
4x² - 2x + 5x - 7
4x² + 3x -7
Option ( B ) is the correct answer.
Find the value of x for which pll q.
Answer:
D) 9
Step-by-step explanation:
These angles are equal to each other because they’re alternate interior angles so:
9x + 8 = 15x - 46
9x - 15x = -46 - 8
-6x = -54
x = 9
2x+5
---------
x+1
hãy giupd tôi
2x+5
x+1
2+3.......
x+1
Answer:
ask your teachehope help
and search on somewhere I search it there is so many answer
Help I don’t get this
Directions: Write rack of the following statements using a symbolic language.
2. A number is four times larger than the square of half the number.
3. Steven has some money. If he spends $9.00, then he will have of the amount he started with.
4
The sum of a number squared and three less than twice the number is 129.
5. Miriam read a book with an unknown number of pages. The first week, she read five less than of the pages. The
second week, she read 171 more pages and finished the book. Write an equation that represents the total number
of pages in the book
Answer:
2.)4n>(n/2)^2
3. (The problem isn't clear)
4.)n^2+2n-3=129
5.)n-5=171
Step-by-step explanation:
2.)
4n(four times the number) >(larger than) (n/2)^2 (half the number squared)
4.)
Sum=addition
n^2 (number squared) +2n (twice the number)-3=129
5.)
N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)
You run 24 steps integer practice
9514 1404 393
Answer:
+24
Step-by-step explanation:
The number of steps run can be represented by the integer +24.
4. Define Adjacent Angles.
Answer:
hope this helps
Step-by-step explanation:
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
Answer:
the two angles that have a common sides and a common vertex but do not overlap in any way is called adjacent angles.
URGENT HELP 20 POINTS
Answer:
-5.6666.... is a rational number and 3.25 is a rational number but not integer too. the rest you got all right, good job.
hope that answers your question
dont hesitate to comment if you need some explanation about this topic
