[tex]\huge\bold\green{Answer:-}[/tex]
Simplifying
36c2 + -84cd + 49d2 = 0
Reorder the terms:
-84cd + 36c2 + 49d2 = 0
Solving
-84cd + 36c2 + 49d2 = 0
Solving for variable 'c'.
Factor a trinomial.
(6c + -7d)(6c + -7d) = 0
Subproblem 1
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Subproblem 2
Set the factor '(6c + -7d)' equal to zero and attempt to solve:
Simplifying
6c + -7d = 0
Solving
6c + -7d = 0
Move all terms containing c to the left, all other terms to the right.
Add '7d' to each side of the equation.
6c + -7d + 7d = 0 + 7d
Combine like terms: -7d + 7d = 0
6c + 0 = 0 + 7d
6c = 0 + 7d
Remove the zero:
6c = 7d
Divide each side by '6'.
c = 1.166666667d
Simplifying
c = 1.166666667d
Solution
c = {1.166666667d, 1.166666667d}
I HOPE IT HELPS ♥️
What is the area of the rectangle shown on the coordinate plane?
3
2+
Х
12 square units
18 square units
21 square units
28 square units
Answer:
21 units
Step-by-step explanation:
7x3 is 21
Solve 6x² +11x -35 =0
Step-by-step explanation: If you're asked to solve a quadratic equation by the method of your choice, you should always check to see if the quadratic factors before you try any other method.
In this case, we have a trinomial that
factors as the product of two binomials.
In the first position for each binomial, we will use
our factors of 6x² which are either 6x · x or 3x · 2x.
It's a good idea to try less extreme extreme factors.
That means choose factors a little closer together.
So 3x and 2x would be first on our list.
We do the same for the factors of -35.
Since our constant term is negative, it will factor
as the product of a positive times a negative.
So the factors of -35 are +7 · -5, -5 · +7, -7 · +5, +5 · -7.
Remember to reverse the order of the
factors is your lead coefficient is not 1.
The factors that work in this case are -5 and +7.
So we have (3x - 5)(2x + 7).
To check, take the product of the outer terms and inner terms.
So we have -21x + 10x which is our middle term.
Now set it equal to 0.
So we have (3x - 5)(2x + 7) = 0.
Now use the zero product property.
So either 3x - 5 = 0 or 2x + 7 = 0.
Solving each equation from here, we have x = 5/3 or x = -7/2.
A pump is removing water from a tank at a constant
rate. The graph shows the relationship between the
volume of water in the tank and the number of hours.
What is the y-intercept of the graph, and what does
it represent?
80
(0, 80)
60
Volume (liters)
40
1. Underline each question you need to answer.
20
0
0
2
4
6
8
X
Hours
2. On the graph, circle the point that corresponds to
the y-intercept. Explain how to use this point to
find the y-intercept.
to by Savvas Leam. What does the graph show about how the volume of water in the
tank changes over time?
4. Does the y-intercept represent a starting value or an ending value?
Explain.
5. On the graph, highlight the information that describes the
quantity represented on the y-axis. How does this help you
determine the meaning of the y-intercept?
Answer:
you can use a calculator and find the formula
Step-by-step explanation:
Which of these is the absolute value parent function?
O A. f(x) = |x-1|
O B. f(x) = |3x|
O C. f(x) = |X|
O D. f(x) = |x|+ 2
Answer:
option 'C' is the correct one or parent function of linear.
Liam paid $13. 00 at a department store for 5 pairs of socks. When the number of pairs of socks is represented by p and the total cost (in dollars) is represented by c, which equation corresponds to this relationship?A. C = 2. 6pB. C = 1. 6pC. C = 3. 4pD. C = 0. 4t
.Brainliest please
Answer:
B. c = 2.6
Step-by-step explanation:
$13.00 / 5 = 2.6
URGENT!!! Please help me
WILL MARK BRAINLIEST
Answer:
what thing i help you
Step-by-step explanation:
what question
Three months later some vehicles were sold and new models have been brought into the Liberty Bike Shop. Now, there are a different number of bicycles, tandem bicycles, and tricycles in the shop. There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels.
Answer:
There 68 bicycles , 33 tricycles and 17 Tandem bicycles
Step-by-step explanation:
Let B be the no. bicycles , TB be the no. of tandem bicycles and C be the no. of tricycles
No. of seats in 1 bicycle = 1
No. of seats in B bicycle = B
No. of seats in 1 Tandem bicycle = 2
No. of seats in TB Tandem bicycle = 2TB
No. of seats in 1 Tricycle = 1
No. of seats in C Tricycle = C
We are given that There are a total of 135 seats
So, B+2TB+C=135 ----1
Similarly
There are total 118 front handlers
So,1B + 1TB + 1C = 118 ----2
There are total 269 wheels
So,2B + 2TB + 3TR = 269
Substract 1 from 2
B+2TB+C-B-TB-C=135-118
TB=17
Adding 1 and 2 and substracting from 3
[2 - (1+1)]B + [2- (2+1)]TB + [3- (1+1)]C = 269-253
- 1x17 +C= 16
C= 16 + 17 = 33
Replacing in eq. 32
1B + 17 + 33 = 118
B = 118 - 17 - 33 = 68
Hence There 68 bicycles , 33 tricycles and 17 Tandem bicycles
Find the area. Pls help I'm not smart and I cant do this
A certificate of deposit with $600 principal earns 2. 5% interest for 6 years. How much is the interest earned for 6 years?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &6 \end{cases} \\\\\\ I = (600)(0.025)(6)\implies I=90[/tex]
PLZ HELP FAST The amount of water in a tank is taken out of the tank by the equation g = -20h +100, when g represents the number of gallons of water left in the tank and h represents the number of hours that have passed by. How many gallons of water are left in the tank after 3.5 hours? Type your answer in the box provided.
Answer:120
Step-by-step explanation:
if you add 20 and 100 it gives you 120
what is 6/3 + -1/6 in simplest form?
i really need help! please explain the steps if you can as well!:)
Answer:
this would be 12/6+(-1/6)
Step-by-step explanation:
if you want to solve it would be 11/6, or "1 5/6ths"
we need to first find the common denominator, which is 6, but since we multiplied the bottom by 2, we multiply the top by 2. next we just subtract the values, and i put the 1 because there is only one "6" that goes in to the bottom ,and 5 is left over.
please mark as brainlest.
16 with the exponent of 2
Answer: 256
Step-by-step explanation:
that is just gonna be 16 x 16 which is 256
Answer:
16x2=32
Step-by-step explanation:
Multiple 16 twice, then you get 32!
Peter scored 151515 goals during his second soccer season as a forward. He scored 666 fewer goals during his first season. The team as a whole scored 444 times as many goals as Peter during the two seasons. How many goals did the team score during the two seasons?
Answer:
96
Step-by-step explanation:
Total goals scored by peter in second season = 15
In first season he was said to have scored 6 fewer goals. 15-6 = 9
The team as a whole scored 4times as much as peter did.
Let's call the total number of goals peter scored , T
So t = 15 + 9 = 24
4 times as much as peter = 4 x T
= 4x24
= 96 goals in both seasons were scored by the team.
(7, 1) and (x, 4); m = 3/4
missing value
50 POINTS
Answer:
x = 11
Step-by-step explanation:
4 - 1 / x - 7 (simplify)
3 / x - 7 = 3/4 (multiply by x - 7)
3 = 3/4 (x - 7)
3 = 3/4x - 5.25 (add 5.25 to both sides)
8.25 = 3/4x (divide both sides by 8.25)
x = 11
sub into the formula to check:
4-1 / 11 - 7
3 / 4
PLSS HELPP
Two numbers a and b are in the ratio 3 : 4. If the first number is decreased by 4 and the second is decreased by 2, they are in the ratio 2 : 3. Find a and b.
a =
b=
The value of a = 24 and b = 32. Let the original numbers be 3x and 4x since they are in the ratio 3 : 4.
Step 1: Form the new ratios after the given decreases.
The first number decreased by 4 becomes 3x - 4, and the second number decreased by 2 becomes 4x - 2. The new ratio is 2 : 3.
Step 2: Set up the equation based on the new ratios.
We have the following equation based on the new ratios:
(3x - 4) / (4x - 2) = 2 / 3
Step 3: Solve the equation for x.
To solve the equation, we can cross-multiply:
3(3x - 4) = 2(4x - 2)
Expand and simplify:
9x - 12 = 8x - 4
Now, isolate the variable on one side:
9x - 8x = 12 - 4
x = 8
Step 4: Find the values of a and b.
Now that we have the value of x, we can find the values of a and b:
a = 3x = 3 * 8 = 24
b = 4x = 4 * 8 = 32
So, a = 24 and b = 32.
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Help marking as braninliest answer if gotten right!
Answer:
k=60
Step-by-step explanation:
k+2k=180
3k=180
k=60
Answer:
k = 60
Step-by-step explanation:
Because supplementary angles are either 2 angles where the sum equals 180, if we take 60 for [tex]\angle {1}[/tex], and then add it to [tex]\angle {2}[/tex], we get 2(60) = 120 for [tex]\angle 2[/tex] and 60 for [tex]\angle 1[/tex], meaning that if we add the values of both angles together, it will be 120 + 60 = 180.
Urgent help please..
Answer:
75-53=22
Step-by-step explanation: D is close to A so u have to minus 75-53 to get the number of degrees for d
Show an example of a Multi step equation with an answer of -13.
Answer:
Step-by-step explanation:
x=338/2x
2x^2=338
x^2=169
x=13
Ralph is leasing a car worth $24,000 for three years. his leasing company says that the car ralph is leasing will only be worth $16,000 at the end of his lease. approximately what percentage of the car’s original value will ralph need to pay as part of his lease?
The percentage of the car's original value will be 33%
We have given that the car was worth $24,000, being this the original value, after three years the car will be worth $16,000.
Therefore to find the percentage of the car’s original value will Ralph need to pay as part of his lease, We have to find the difference between the original value and the new value.
So the difference between the original value and new value is,
24,000-16,000= $8000.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100.
And the percentage can be calculated dividing the difference by the original value of the car.
[tex]\frac{8000}{24000}\times 100=33.3\%[/tex]
Therefore the percentage of the car's original value will be 33%
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if f(x)=2x+1, what would be the first step to find f(1)
Answer:
We are given a defined function: f(x) = 2x + 1. This function is the same as saying y = 2x + 1 (y and f(x) are used interchangeably and are the same value - just a different way of representing it). Because we want to find f(1), math states that if you replace one variable with a value, you must replace all of the same variables with that value. Because of this, if we change f(x) to f(3x), we are declaring that the variable x has a value of 3x. Or, if we were to change f(g) to f(3g + 4), we would then be replacing the g's in the function with 3g + 4.
Using these examples, we can the find the value of f(1). We would simply replace the x-values in the function with the value of 1 and then take any operations necessary - be sure to use PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
[tex]f(x) = 2x + 1\\\\f(1) = 2(1) + 1\\\\f(1) = 2 + 1\\\\f(1) = 3[/tex]
Therefore, the first step to solve the problem would be to replace the x-values in the equation with the value of 1. From there, you would simplify your equation and find what the value of the function is if evaluated at f(1).
Hope this helps! :)
Question 9 of 10
What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
Answer:
I think it's 126cm not sure
Comments) How many of you go to K12 for school?
Answer:
not me
Step-by-step explanation:
why?
Natasha and Richard are making exam papers.Each set takes Natasha 45 minutes and Richard 1 hour.Express the times Natasha and Richard take as a ratio. Give your answer in its simplest form.
Answer:
3:4
Step-by-step explanation:
1=60 minutes
Natasha: Richard-----> 45:60
Simplify: 45/15= 3 60/15= 4
Ratio: 3:4
The population of Happyland is 15. 8 Happys per acre. Exactly 553 Happys live in Happyland. How many acres is Happyland? Enter only a numerical value in the answer blank.
The total area of the Happyland or the total number of acre which is in Happyland is 35 acre.
How to find the population per acre?The population per acre is the total number of people lives in the area or place.
To find the population per acre, divide the total number of population lives in an area with total number of acre of that area.
The population of Happyland is 15.8 Happys per acre. Exactly 553 Happys live in Happyland.
Suppose there is total x acres in Happyland. Therefore, the population per acre can be given as,
[tex]15.8=\dfrac{553}{x}\\[/tex]
Solve it for x as,
[tex]x=\dfrac{553}{15.8}\\x=35\rm acre[/tex]
Hence, the total area of the Happyland or the total number of acre which is in Happyland is 35 acre.
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how do scientists know about the ordovician period
Answer:
they do know true the callender
8 is what percent of 2
Answer: 400%?
Step-by-step explanation: 2 is 1/4 of 8 which means to get from 2 you need to multiply it by 4, 1=1.00 which is 100% so it is 400%
Answer:
0.25 or 25%
Step-by-step explanation:
p x 8 = 2
= 2/8
Then turn this into a percent which is 25% hope this helped
Lines a and b are perpendicular. The slope of line a is -2. What is the slope of line
b?
Answer:
[tex]\sf\boxed{ \sf \dfrac{1}{2} \ is \ the\ slope }[/tex]
If lines are parallel or tangent, the slope remains same.
[tex]\sf \large\boxed{\sf m_1 \rightarrow m_2}[/tex]
If lines are perpendicular or normal, the slope becomes negatively inverse
[tex]\sf \large\boxed{\sf m_1 \rightarrow -(\frac{1}{m_2} )}[/tex]
With this Here the line a is perpendicular to line b,
therefore using formula: [tex]\sf \large {-(\dfrac{1}{-2} )} \rightarrow \dfrac{1}{2}[/tex]
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Felicia is considering two companies for the installation of her new carpet. The carpet companies installation rates are shown.
Carpet Company A: C = 1.35y + 100 where c is the cost and y is the number of square yards.
Carpet Company B: This company charges $2.05 per square yard for the carpet and the installation.
Identity the unit rate in dollars per square yard for each carpet company.
Using linear function concepts, it is found that:
The unit rate for company A is of $1.35.The unit rate for company B is of $2.05.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.For Company A, the equation is:
y = 1.35y + 100.
The slope is of m = 1.35, hence the unit rate is of $1.35.
For Company B, as already stated in the problem, the unit rate is of $2.05.
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Need help ASAP
A book has 13 chapters. The mean length of the chapters is 42 pages. How many total pages are there in the 13 chapters?
Answer:
546 pages
Step-by-step explanation:
the mean is the average .So just multiply the number of pages by chapters.
1×42 for 1 chapter = 42 pages a chapter
thterefore 13×42 for 13 chapters = 546 pages
Multiplying startfraction 3 over startroot 17 endroot minus startroot 2 endroot endfraction by which fraction will produce an equivalent fraction with a rational denominator? startfraction startroot 17 endroot minus startroot 2 endroot over startroot 17 endroot minus startroot 2 endroot endfraction startfraction startroot 17 endroot startroot 2 endroot over startroot 17 endroot startroot 2 endroot endfraction startfraction startroot 2 endroot minus startroot 17 endroot over startroot 2 endroot minus startroot 17 endroot endfraction startfraction startroot 15 endroot over startroot 15 endroot endfraction
The faction expression with which it produces an equivalent fraction with a rational denominator is [tex]\dfrac{\sqrt{17}+\sqrt{2}}{5}[/tex].
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
We have the expression given below.
[tex]\dfrac{3}{\sqrt{17} - \sqrt2}[/tex]
Multiple and divide the expression by [tex]\sqrt{17} + \sqrt{2}[/tex]. Then we have
[tex]\dfrac{3}{\sqrt{17} - \sqrt2} \times \dfrac{\sqrt{17} + \sqrt2}{\sqrt{17} + \sqrt2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{(\sqrt{17})^2 - (\sqrt{2})^2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{17 - 2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{15}\\\\\\\dfrac{\sqrt{17} + \sqrt{2}}{5}[/tex]
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Answer:
b
Step-by-step explanation: