Answer: 33
Step-by-step explanation: Let x equal the shorter piece.
x + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33
what is f(-1) for the graph shown below?
Please help
Answer:
f(-1)= -3
Step-by-step explanation:
We all know f(x) = y
Since x= -1, y= -3 as per given in the graph, so
f(-1)=-3
Find any solutions of x/x-1 + 2/x+2= -6/x^2+x-2
Answer:
a I think ooookkkkk
The solution of the equation x/(x-1) + 2/(x+2) = -6/(x²+x-2) represented by statement is option D. The equation has one true solution and one extraneous solution.
To find the solutions to the equation, we need to simplify and solve for x:
x/(x-1) + 2/(x+2) = -6/(x²+x-2)
Factor the denominators on both sides of the equation.
The denominator on the left side can be factored as follows:
x² + x - 2 = (x+2)(x-1)
Find the common denominator.
The common denominator for the left side is (x-1)(x+2).
Rewrite the fractions with the common denominator:
[(x+2) × x]/[(x-1)(x+2)] + [2 × (x-1)]/[(x-1)(x+2)] = -6/[(x+2)(x-1)]
Combine the fractions,
[x(x+2) + 2(x-1)] / [(x-1)(x+2)] = -6/[(x+2)(x-1)]
Eliminate the denominator:
Multiply both sides by (x+2)(x-1) to eliminate the denominators:
[x(x+2) + 2(x-1)] = -6
Expand and simplify the equation:
x² + 2x + 2x - 2 = -6
x² + 4x - 2 = -6
x² + 4x + 4 = 0
Solve for x using the quadratic formula:
x = (-b ± √(b²-4ac)) / 2a
Here, a = 1, b = 4, and c = 4.
x = (-4 ± √(4² - 4 × 1 × 4)) / 2× 1
x = (-4 ± √(16 - 16)) / 2
x = (-4 ± √0) / 2
x = (-4 ± 0) / 2
x = -4 / 2
x = -2
The equation has one true solution, x = -2 (repeated root).
Now, let's check this solution in the original equation:
x/(x-1) + 2/(x+2) = -6/(x²+x-2)
(-2)/((-2)-1) + 2/((-2)+2) = -6/((-2)²+(-2)-2)
(-2)/(-3) + 2/0 = -6/(4-2-2)
2/0 is undefined, and since we cannot divide by zero, we have an extraneous solution.
Therefore, the correct statement for the solution is option D. The equation has one true solution and one extraneous solution.
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P is the set of integers that are greater than or equal to -3 and less than -1
a reduced fat cookie contains 11g of fat per serving. in order for food to be termed 'reduced fat', it must have at least 20% less fat than the regular item. what can conclude about how much fat is in a serving regular cookie?
Personally, I did this in a kinda weird way but I think that it should be correct
-How I figured the answer out-
I took 11g and wrote 80% next to it, because after all it has 80% less fat than the regular cookie.
Then, I scaled it down to 10% by dividing by 8, which got me
1.375g = 10%
And finally, I multiplied by 10 to now have 100% (meaning, a regular serving size cookie) and be left with the result: 13.75g
-The answer-
13.75g (don't forget to write the units)
Have a great day :)
someone help please!
4. Rhonda deposited $3000 in an account in
the Merrick National Bank, earning 4.2%
interest, compounded annually.
How much will she have in 5 years?
Answer:
Step-by-step explanation:
3000(1.042)^5= 3685.18970751
which rounds to 3685.19
pls help!!!!!!!!!!!!!!
Answer:
HMmMm I think the answer is yes
Taci is studying a map before her hiking trip. on her map, 2 inches equals 85 miles. how far apart are two locations if they are 1.5 inches apart on the map? a. 63.75 miles c. 68 miles b. 113.33 miles d. 67.11 miles
Answer:
a
63.75
I decided 85 by 2 to get what one Ince would be and then multiplied that number by 1.5
What is 300251 rounded to the nearest Highest Place
Answer:
30,000
Step-by-step explanation:
Please help fast!! Quarter ends tonight!
Answer:
-18
Step-by-step explanation:
2 x -2^3 + 3 x 2 x -1 - 4 x -1^2 = -18
Answer I think is 18
Step-by-step explanation:
The first part is 16, then the second part is 6, then the third part is 4. So then it would be 16+6-4=18, if I'm not mistaken.
From the sum of 4x² - 2x +6 and 2x² + 4x-1, subtract 5x2 + 2x -4.
Answer:
x² + 9Step-by-step explanation:
Add:
4x² - 2x + 6 + 2x² + 4x - 1 = 6x² + 2x + 5Subtract:
6x² + 2x + 5 - 5x² - 2x + 4 = x² + 9Answer: [tex]\large \boldsymbol {\sf x^2+9 }[/tex]
Step-by-step explanation:
[tex]1) \\\\ \large \boldsymbol {} \sf 4x^2-2x+6 \\ + \\ \underline{2x^2+4x-1} \\\\6x^2+2x+5[/tex] [tex]2) \\\\ \large \boldsymbol {} \sf 6x^2+2x+5 \\-\\ \underline{5x^2+2x-4} \\\\x^2+9[/tex]
Please answer correctly! Give the correct solution to get the right answer on the graph. Will give brainliest to the correct answer.
This is Algebra 2.
prove that the sum of any 5 consecutive natural numbers is divisible by 5
Answer:
Let the 5 consecutive numbers be x, x + 1, x + 2, x + 3 and x + 4.
The sum of the 5 consecutive numbers,
x + x + 1 + x + 2 + x + 3 + x + 4
= x + x + x + x + x + 1 + 2 + 3 + 4
= 5x + 10
To prove : -
The sum of any 5 consecutive natural numbers is divisible by 5.
Proof : -
( 5x + 10 ) / 5
= ( 5x / 5 ) + ( 10 / 5 )
= x + 2
Hence proved.
Therefore,
The sum of any 5 consecutive natural numbers is divisible by 5.
Which fraction is equivalent to the one shown below?
Subtracting a negative becomes addition.
Both of the subtractions are subtracting a negative , so they both become addition.
Answer: D. 18 5/8 + 22 2/5 + 40 1/5
Hi, what is this number in expanded form, please let me know?
Answer:
5,078.401
Step-by-step explanation:
5,000 + 70 + 8 + 0.4 + 0.001 = 5,078.401
which transformation would result in a geometric figure
Answer:
You reflect it, Translated and Rotate it
Step-by-step explanation:
hope this helps
i dont understand if anybody can help me i would be happy
Answer:
(2, 3)Step-by-step explanation:
The rule for this dilation is:
(x, y) → (x/2, y/2)Apply this rule to point B(4, 6):
B(4, 6) → B'(2, 3)Help I will give a lot of points and stuff
Answer:
x² - 20x - 12 = 0Step-by-step explanation:
One root is given, 10 - 4√7.
Since the polynomial has to have rational roots and of a minimal degree, the other root is the conjugate of the given and the polynomial is of degree 2 minimum.
The polynomial is:
(x - 10 - 4√7)(x - 10 + 4√7) = 0x² - (10 - 4√7 + 10 + 4√7)x + (10² - (4√7)²) = 0x² - 20x + 100 - 112 = 0x² - 20x - 12 = 0What is the advantage of paying your credit card balance in full each month?
You will incur only a small "paid in full" fee on your next credit card statement.
You pay only a small amount of interest.
You have less of your credit limit available, therefore, less temptation to spend.
You avoid paying any interest and fees.
Answer:
D
You avoid paying any interest and fees, this is the most obvious since you are trying to avoid debt and fees which will build up as you don't pay them
what is a rapid loan?
Answer:Rapid Loans Fast is the premier provider of cash advances, emergency and weekend loans. ... Thanks to the introduction of modern IT, the application for an online loan will take you no more than 5-10 minutes. Approval occurs automatically, after which the payday loans are instantly transferred to the borrower's bank card.
Step-by-step explanation:
After 5 years, Ben’s income has undergone several increases. Last month, Ben put $600 in savings, which was 10% of his net income. What is Ben’s new monthly net income?
Answer:
$6,000
Step-by-step explanation:
10/100 = x/600
= (600 * 100)/10
= 600 * 10
What is the solution?
[tex]\lim_{x\to 0} \frac{x + 2}{ x -2}[/tex]
Math please
Answer:
[tex] - 1[/tex]
Step-by-step explanation:
[tex]\lim_{x\to 0} \frac{x + 2}{ x -2}[/tex]
[tex] = \frac{0 + 2}{ 0 -2}[/tex]
[tex] = \frac{2}{-2}[/tex]
[tex] = - 1[/tex]
Answer:
- 1
Ok? Understand?
........
How long should an escalator be if it is to make an angle 30 with the floor and
Answer:
it should be 23 feet long
Step-by-step explanation:
help please i will give brainliest
Answer:
Give me branilest first you scammer
Step-by-step explanation:
Write an equation (any form) for the quadratic graphed below:
Vertex is (2,3), so that gives us:
y=a(x-2)^2+3
Now the graph goes through (0,1), so plug that in to find a:
1 = a(0-2)^2+3
-2 = a(-2)^2
-2 = a•4
-1/2 = a
So, y = -1/2 (x-2)^2 + 3
Answer:
y = - ½(x - 2)² + 3
Step-by-step explanation:
Given the vetex, (2, 3), as the maximum point on the graph, along with the y-intercept, (0, 1):
We can substitute these values into the given vertex form of the quadratic equation:
y = a(x - h)² + k
where:
a = determines whether the graph opens up or down, and makes the parent function wider or narrower. If a is positive, the graph opens up; if a is negative, the graph opens down. If 0 < a < 1, the graph is wider than the parent function. If a > 1, the graph is narrower than the parent function.(h, k ) = vertexh = determines how far left or right the parent function is translated.k = determines how far up or down the parent function is translated.Use vertex = (2, 3) and y-intercept (0, 1) to solve for "a":
y = a(x - h)² + k
1 = a(0 - 2)² + 3
1 = a(-2)² + 3
1 = a(4) + 3
Subtract 3 from both sides:
1 - 3 = a(4) + 3 - 3
-2 = 4a
Divide both sides by 4 to solve for a:
-2/4 = 4a/4
- ½ = a
Therefore, the value of a = - ½. This means that the graph opens downward, and that the parabola is wider than the parent function.
The quadratic equation in vertex form given a = - ½, and vertex (2, 3) is:
y = - ½(x - 2)² + 3
Please mark my answers as the Brainliest if you find this explanation helpful :)
PLEASE HELP WORTH 10
D. The expected height for someone with a femur length of 55 centimeters
Answer:
D. The expected height for someone with a femur length of 55 centimeters
what is the like term for 4x^2
Answer:
Step-by-step explanation:
4x^2+5x^2+x^2
Find the mode(s) for the following group of data items.
33, 30, 29, 28, 34, 31, 27, 29
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The mode(s) is/are
(Use a comma to separate answers as needed.)
O. B. There is no mode.
HELP ME WORTH 10
A. The number of gallons in the tank after one hour
B. The rate of change of gas in her tank over time
C. The number of gallons of gas at time x=0
D. How long it takes Ai Mi to run out of gas
Answer:
B
Step-by-step explanation:
the amount of gas in tank changes over time (hours)
pls correct me if I'm wrong hope this helps
What is the quotient of 3/4 and 5/6
Answer:
9/10 in fraction form 0.9 in decimal form
Step-by-step explanation:
Answer:
9/10
Step-by-step explanation:
keep change change, then multiply.