The answer to this question is 10
Stu wants to join a gym. Fit-Place charges a $135 startup fee and then $35 per month. The Factory has no startup fee but charges $60 per month. Create a table showing the total cost for the first 8 months. Determine the month at which the total cost is the same.
I don't know the answer use a calculater
Answer:
Fit-Place charges a $135 startup fee and then $35 per month.
Means the cost here will be based on the equation : [tex]135+35x[/tex] where x is the number of months.
The Factory has no startup fee but charges $60 per month. Here the equation will be [tex]60x[/tex], where x is the number of months.
Table ;
Months 1 2 3 4 5 6 7 8
Fit-Place 170 205 240 275 310 345 380 415
The Factory 60 120 180 240 300 360 420 480
The total cost will be same in:
[tex]60x=135+35x[/tex]
=> [tex]60x-35x=135[/tex]
=> [tex]25x=135[/tex]
x = 5.4 rounded to 5 months.
Now we can see that the total cost will be same in almost 5 months.
Which expression represents the polynomial −7x+x3−6+x2 rewritten in standard form? x3−5x+6
x2−7x−6
x3−2x2−7x−6
x3+x2−7x−6
x3−7x+6
the answer is x3 + x2 - 7x - 6
step by step explanation
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Checking for a perfect cube :
1.1 x3+x2-7x-6 is not a perfect cube
Trying to factor by pulling out :
1.2 Factoring: x3+x2-7x-6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x-6
Group 2: x3+x2
Pull out from each group separately :
Group 1: (7x+6) • (-1)
Group 2: (x+1) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
1.3 Find roots (zeroes) of : F(x) = x3+x2-7x-6
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -6.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,6
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-2 1 -2.00 4.00
-3 1 -3.00 -3.00
-6 1 -6.00 -144.00
1 1 1.00 -11.00
2 1 2.00 -8.00
3 1 3.00 9.00
6 1 6.00 204.00
Polynomial Roots Calculator found no rational roots
Final result :
x3 + x2 - 7x - 6
brainliest plzz
The expression −7x + x³ −6 + x² written in standard form is x³ + x² −7x −6.
Standard form for polynomials is written from the highest degree to the lowest degree of the variables. So, the given expression −7x + x³ −6 + x² should be rearranged as follows:
Identify the term with the highest exponent, which is x³.
Then order the remaining terms by decreasing powers of x: x² comes next, followed by −7x.
Finally, position the constant term at the end, which is −6.
Putting it all together, the polynomial in standard form is x³ + x² −7x −6.
Which layer of the sun is hottest? A. Chromosphere B. corona C. core D. photosphere
C) Core...
Hope this helps.....
Answer:
C
Step-by-step explanation:
Helen wrote the following facts to try to show that division by 0 results in 0. Explain her error.
Helen should of put 0 first, because if you're gonna divide, you need to put the product first, then one of the factoes.
So instead it should be 0÷(-7)=0
Helen's assertion that division by 0 results in 0 is incorrect. Her error lies in a fundamental mathematical principle: division by zero is undefined in arithmetic.
How to determine Helen errorDividing any number by 0 is mathematically impossible and not meaningful. It does not yield a value of 0 or any other number because the concept is not valid in standard arithmetic. When you attempt to divide by 0, you encounter mathematical inconsistency and contradiction.
In mathematics, there are well-defined rules and operations for manipulating numbers, and division by zero does not adhere to these rules. It is considered undefined, and no meaningful result can be assigned to it. Therefore, Helen's statement is not accurate, and division by zero is not equivalent to 0 in mathematics.
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A go cart's top speed is 607,200 feet per hour. What is the speed in miles per hour?
What is the value of g?
25(g−7)=3
Enter your answer in the box.
g =
[tex]25(g-7)=3\\\\25g-175=3\\\\25g=178\\\\g=\dfrac{178}{25}[/tex]
What is the y-intercept of this line? (Enter the number only.)
b=
What is the smallest 3-digit number that has 2, 3, and 7 among its prime factors?
Answer: 126
Step-by-step explanation: You would just find the LCM (2, 3, 7) and get 42. But since you need a 3-digit number, list the multiples of 42, like so: 42, 84, 126, 168, 210...
As you can see, 126 is the smallest 3-digit number that has 2, 3, and 7 among its prime factors.
The smallest 3-digit number that has 2, 3, and 7 among its prime factors is 126.
Explanation:
The smallest 3-digit number that has 2, 3, and 7 as its prime factors can be calculated by multiplying the prime factors together. In this case, it's 2 x 3 x 7, which equals 42. This is a 2-digit number, but we're looking for
3-digit
number. The next multiple of 42 (42 x 3) gives us 126, which is a 3-digit number. So, the
smallest 3-digit
number that has 2, 3, and 7 as its prime factors is
126
.
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Which inequality has an arrow pointing to the left when the solution is graphed on a number line? ANSWERS:
A.) x less than or equal to 5
B.) 4 less than or equal to x
C.) x greater than or equal to -8
D.) x greater than 6
answer option A
A.) x less than or equal to 5 ----> x<=5 , for less than symbol we shade to the left. so , inequality has an arrow pointing to the left .
B.) 4 less than or equal to x ----> 4<=x can be written as x>=4 , for greater than symbol we shade to the right
C.) x greater than or equal to -8 ----> x>=-8 , for greater than symbol we shade to the right
D.) x greater than 6----> x>=6 , for greater than symbol we shade to the right
Answer:
A is correct!
Step-by-step explanation:
I went with my gut instinct. PLUS, I got it from the one above me so mark him brainliest! :D
seven increased by the product of two numbers
Seven increased by the product of two numbers
Whats the two numbers?
Write two numbers that are greater than 32.46 and less than 32.56 then the difference of your two numbers
Answer:
32.48 and 32.50 is the numbers which are more than 32.46 and less than 32.56 and there difference is 0.02
Step-by-step explanation:
We have given two numbers 32.46 and 32.56
We have to find two numbers which are greater than 32.46 but less than 32.56
The number 32.48 is greater than 32.46 and less than 32.56
And other number 32.50 is greater than 32.46 and less than 32.56
Now we have to find the difference of these two numbers
So difference = 32.50 - 32.48 = 0.02
The two numbers that are greater than 32.46 and less than 32.56 are 32.48 and 32.54.
The difference between the two numbers is 0.06.What is the difference of your two numbers?
32.46 and 32.56
The numbers greater than 32.46 and less than 32.56 are:
32.47, 32.48, 32.49, 32.50, 32.51, 32.52, 32.53, 32.54, 32.55
We can choose any two numbers from the listed
32.48 and 32.54
Hence,
The difference between the two numbers is
= 32.54 - 32.48
= 0.06
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How many solutions does the equation have? 5(n–2)=5n–10
A.) 1 solution
B.) no solutions
C.) many solutions
C) many solutions
But to be precise, there are INFINITELY many solutions.
[tex]5(n-2)=5n-10\\\\5n-10=5n-10\\\\0=0\\\\x\in\mathbb{R}[/tex]
The equation 5(n–2)=5n–10 has many solutions because any value of n will satisfy the equation as both sides of the equation match exactly.
Explanation:The equation given is 5(n–2)=5n–10. Let's solve this step-by-step.
Distribute 5 through the parentheses on the left side of the equation: 5n - 10 = 5n - 10. As you can see, both sides of the equation match exactly, meaning that any value for n will make the equation true.
So, the answer is C.) many solutions, because any value of n will satisfy this equation.
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heba ate 1/12 of a box of cereal now the box is 3/4 full what fraction of a full box was there before heba ate it
Now box is 3/4 full
3/4 = 3/4*1
3/4 = 3/4 * 3/3 = 9/12
Box is 9/12 full after heba ate 1/12 of a box of cereal
Initial fraction will be 9/12+1/12
=10/12= 5/6
Answer:
5/6.
Step-by-step explanation:
If Heba ate 1/12 of a box of cereal and the box is now 3/4 full, then before she ate the box is 3/4 plus the 1/12 (because, in the "before" situation she hasn't eaten yet). So, we need to add the "now" quantity and the quantity eaten:
[tex]\frac{3}{4}+\frac{1}{12} = \frac{10}{12} = \frac{5}{6}.[/tex]
Then, before she ate the cereal, the box is 5/6 full.
Two stores sell the same television for the same original price. Store A advertises that the television is on sale for 30% off the original price. Store B advertises that it is reducing the television’s price by $250. When Allison compares the sale prices of the television in both stores, she concludes that the sale prices are equal.
The answer is 0.7p=p-250
Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as th\e winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received: x − 62,500 = 0.25y If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values. Numerical Answers Expected!
y is the total number of votes, which is given as 125,000
Replace Y in the equation and solve for x.
X - 62500 = 0.25(125000)
Simplify:
x - 62500 = 31250
Add 62500 to both sides:
X = 31250 + 62500
X = 93750
Will mark brainliest!
Combine the like terms to create an equivalent expression:
−2x − x + 8
−2x − x + 8
Combine like terms:
-3x + 8
Hope it helps.
Answer:
-3x+8
Step-by-step explanation:
the total cost of a new autombile, including a 4% sales tax on the price of the automobile, is $28,835. how much of the total cost of this new automobile is sales tax?
How do I solve this problem
We can write the first part of this problem as: What is 6.5% of $29,990.
"Percent" or "%" means "per 100" or "out of 100". Therefore
6.5 hope this helps (:
%
can be written as
6.5
100
.
When dealing with percentages the word "of" means the product of or to multiply.
Let's call the sales tax amount we are looking for
s
.
We can now write the problem as:
s
=
6.5
100
×
$
29990
s
=
$
194935
100
s
=
$
1949.35
The sales tax on the car is: $1,949.35.
The total price of the car is then:
$
29
,
990.00
+
$
1
,
949.35
=
8,473,227 to rhe nearest 100,000
Remember this: 4 or below let it go (round down) 5 or above give it a shove (round up)
remember your only rounding 100,000 place so leave the digit behind that
answer: 8,000,000 since it is 4 or below.
8,500,00 is the answer to the nearest 100,000 because 473 is the hundreds place and since 7 is above 5 you round up
find a counter example to following bad definition: a square has four right angles
a flat figure with 4 equal straight sides and four right angles
Answer: Hello there!
We want to find a counterexample to: "a square has four right angles" then we need to find a figure that has four right angles and is not a square.
A first example can be a cross (two segments that cut each other and are perpendicular), but let's think in a geometric shape.
Think on a square that in the middle of each side has a small semicircle; this shape still has four right angles but is not more a square.
There you have two counterexamples of the definition given.
Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these questions have exactly 8 correct answers of false? a. 425 c. 500 b. 495 d. 515
Answer: 495
==============================================================
We want exactly 8 correct answers of false, so we want exactly 4 correct answers of true. In short, we want something like FFFF FFFF TTTT. Because the sequence of T values is shorter than the F values, this means it's a lot easier to count out the number of ways to pick the true responses, rather than the false responses.
Consider we have 4 slots: A, B, C, D
In slot A, we can pick the number 1 through 12 to represent getting a T
For slot B, we have 11 choices because we can't reuse whatever we picked for slot A
Then for slot C we have 10 choices
Finally, slot D has 9 choices
Multiply those values out: 12*11*10*9 = 11,880
If order mattered, then we'd be done with the problem. However, order does not matter. This is because a sequence like {1, 2, 3, 4} is the same as {1,2,4,3}. The only thing that matters is that we have the numbers in the same group. We can rearrange any given group however we want.
Note that there are 4! = 4*3*2*1 = 24 ways to arrange any individual group of four items. So we have to divide the previous result 11,880 by 24 and we get: 11880/24 = 495 which is the answer
If you wanted, you can use the nCr combination formula to get this same answer. You would use n = 12 and r = 4
the volume of a cube is 64 cubic inches. what is the length of one side?
To solve for the volume of the cube, you must use the formula:
Volume = a³
"a" being an edge.
Plug in 64 for Volume
64 = a³
Note the equal sign. What you do to one side, you do to the other. Cube root both sides
∛64 = ∛a³
a = ∛64 = 4
4 inches is your answer
hope this helps
To find the length of one side of a cube with a volume of 64 cubic inches, take the cube root of the volume, which results in a side length of 4 inches.
The volume of a cube is found by cubing the length of one of its sides since a cube's sides are all equal in length. For a cube with a volume of 64 cubic inches, you can find the length of one side by taking the cube root of 64.
Steps to determine the length of one side of the cube:
Understand that the volume of a cube (V) is equal to the side length (s) cubed: V = s³.Since the volume is 64 cubic inches, set up the equation 64 = s³.Take the cube root of both sides of the equation to find s:the largest alligator ever caught in Mississippi weighed 727 pounds?
The answer is false. The alligator caught in Mississippi actually weighed 766.5 pounds.
The largest alligator ever recorded and taken in the state of Mississippi weighed 727 pounds. This is an exceptional case, as alligators usually weigh less.
Explanation:Yes, the largest alligator ever recorded and caught in the state of Mississippi weighed 727 pounds. This monumental creature stands as a testament to the potential size that members of the alligator species can achieve under optimal conditions. It's always imperative to understand that different species have varied weight standards, and this is no exception when it comes to alligators. While 727 pounds may seem extraordinarily large, it's important to note that it is an extreme and not the norm for the species.
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HELP I only need these two problems answered
2. Arturo can run 1 3/4 miles in 1/4 hour.
what is his speed in miles per hour?
How many miles can Arturo run in 3 hours
Formula d = vt
1 3/4= 1.75
1/4=0.25
So now plug into equation
To find v first to find per hr.
v = (1.75 miles) / (0.25 hrs) =
7 miles per hr
Distance per hr
d = (7 miles/hr)(1 hr) = 7 miles
In 3 hrs ?
d = (7 miles/hr)(3hr) = 21 miles
find the perimeter of the picture plzzzzz
Add the lengths of the three sides.
P = 2x + 1 + x + 2 + 3x
P = 2x + x + 3x + 1 + 2
P = 6x + 3
Answer: The perimeter is 6x + 3
i need help plz help me with this
Answer:
Okay you are asking for the area of a circle ( drum head ) to find that is. You get R (radious) by dividing 14 by 2 and get 7
Step-by-step explanation:
A= πr^2
so what is the R? Its 7
Plug the numbers in and
and your answer is 153.94
can I get help please?
5b+4+10=-2
5b+4+10=-2
5b+14=-2
5b+14-14=-2-14 1) subtract 14 from both sides
5b=-16
5b/5=-16/5 2) divide by 5 on both sides
b=3 & 1/5
The answer is b = -3.2.
First, you have to add 4 and 10 together to get 14. Then, you subtract 14 from 14 and negative 2. You will get negative 16 because since the 2 is already a negative, you would just be adding two negatives. Next, the equation should look like this: 5b = -16. Now, you would divide by 5 on each side and your answer should be b = -3.2. Hope this helps!
Suppose you want to solve the following problem. 8 sandwich rolls cost $2.48, how much will 15 rolls cost? Wich os te following proportions will give the correct answer?
A) 2.48/15 = x/8
B) 8/2.48 = 15/x
C) 8/2.48 = x/15
D) 8/15 = 2.48/x
*there may be more than 1 correct answer*
A tank has 450 gallons of water. A pump is draining the tank at a rate of 50 gallons every minute. Represent the amount of water in the tank as a function of the amount of time the tank has been draining.
The function is y=450-50x.
find at least 3 numbers that are palindromes and have square roots that are palindromes
Hey there!
Palindromes are numbers that can be written the same way backwards, such as 101 and 12321. You're looking for some numbers which are palindromes, and so are their square numbers.
Alright, I'll give you four of those:
121 is a palindrome, and its square root is 11, both palindromes. 11 x 11 = 121484 is a palindrome, and its square root is 22, both palindromes. 22 x 22 = 48410201 is a palindrome, and its square root is 101, both palindromes. 101 x 101 = 1020112321 is a palindrome, and its square root is 111, both palinromes. 111 x 111 = 12321Hope this helps!
Answer:
1, 4, and 9
Step-by-step explanation:
Since one-digit are palindromes, just take 1, 4, and 9 because they're perfect. In math, you have to be efficient. Don't think too long about higher numbers. Think about the easier cases first.
a quantity plus 6. Write in algerbraic expression
Let "a quantity" = x
the quantity is being "[added] to 6"
x + 6 is your algebraic expression.
hope this helps
~Rise Above the Ordinary
The quantity which is unknown can be represented as a variable such as x or any other letter. The plus 6 can be represented by +6. So the final answer is x+6. Hope this helps!