Answer:
C) 8
Step-by-step explanation:
Let's solve for:
[tex]a^2 -64=0\\\\a>0[/tex]
Add 64 to both sides:
[tex]a^2-64+64=0+64\\\\a^2=64[/tex]
Take the square root of both sides
[tex]\sqrt{a^2} = \sqrt{64} \\\\a=\pm 8[/tex]
Therefore, we got two solutions:
[tex]a=8\\\\or\\\\a=-8[/tex]
However, since:
[tex]a>0[/tex]
The only solution is:
[tex]a=8[/tex]
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money he has left over after x rides? (1 point)
f(x) = 1.25x + 64
f(x) = −16x + $80
f(x) = −1.25x + 64
f(x) = −1.25x − 64
A function is a relationship between inputs where each input is related to exactly one output.
The function that is used to determine how much money he has left over after x rides is
f(x) = -1.25x + 64.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
f(x) = 2x + 2 is a function.
f(x) = 3x + 6 is a function.
We have,
Total amount = $80
Cost of entering the fair = $4
Cost on food = $12
Cost per ride = $1.25
The money left after x rides.
= 80 - (1.25x + 12 + 4)
= 80 - 1.25x - 12 - 4
= 80 - 1.25x - 16
= 64 - 1.25x
= -1.25 + 64
The function to determine money left can be represented as:
f(x) = -1.25x + 64
Thus,
The function that is used to determine how much money he has left over after x rides is
f(x) = -1.25x + 64.
Learn more about functions here:
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will mark brainliest Jim Shu has the following work shown on their paper. The directions read “Simplify each radical.” Unfortunately, they have not simplified correctly.
A. Find their mistake and explain what they did wrong.
B. Show the correct solution.
When simplifying radicals, it's essential to break down the number under the radical into its prime factors, pair them off when possible, and bring paired numbers out from under the radical to fully simplify. Without the exact problem that Jim Shu attempted, we can't pinpoint his mistake, but we noted a common error in simplification. Using √18 as an example, the correct simplification would result in 3√2.
Explanation:Without the specific problem that Jim Shu attempted to solve, it is impossible to pinpoint the exact mistake he made. However, a common mistake when simplifying radicals is not properly simplifying the radical into its smallest possible terms. For example, if Jim Shu was trying to simplify √18, but he left it as √9 * 2 instead of converting it into 3√2, then he did not correctly simplify the radical. It is important to break down the number under the radical into its prime factors then pair them off when possible to simplify the radical to its most simple form.
The correct solution for √18, as an example, would be to break down 18 into prime factors (2,3,3), pair them off into a 3 and pull it out from under the radical leaving you with the correctly simplified radical, 3√2.
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PRE CALCULUS
HELP PLEASEEEEEEEEE
describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3 give the order in which they must be preformed to obtain the correct graph
Please help? I need this like... NOW.
see attached picture for solution
answer is (2,5)
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
Final answer:
The domain of the function h(x) = f(x)/g(x) is all real numbers except x = -6.
Explanation:
The domain of a function represents the set of all possible input values (x) for which the function is defined. In this case, the domain of f(x) = x - 6 is all real numbers, and the domain of g(x) = x + 6 is also all real numbers. When finding the domain of the function h(x) = f(x)/g(x), we need to consider any values of x that would result in division by zero.
Since g(x) = x + 6, the function g(x) would be equal to zero when x = -6. Therefore, the domain of h(x) would exclude x = -6, as it would result in division by zero. Other than that, the domain of h(x) would be all real numbers.
So, the domain of h(x) = f(x)/g(x) is all real numbers except x = -6.
A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales. Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold. Which inequalities are among the constraints for this situation? Select each correct answer. 1. x+y≥200 2. 12x+8y≤1000 3. 12x+8y≥1000 4. x+y≥1000 5.x+y≤200 6.12x+8y≤200
The answers are 12x+8y≥1000, 12x+8y≤1000, x+y≤200, and x+y≥200,
The explanation behind the first equation is 12x signifies the regular tickets, being at $12 each. And 8y signifies the student tickets being $8 each. The symbol is "≥", because the manager wants $1000 or more from the ticket sale. While the second equation, just the same with the first but the symbols differ since the sale could be lesser than 1000.
The explanation behind the third equation is 200 is the number of seats at most. In the fourth equation, if many people came, they would lack seats so that’s why the greater sign is used.
The maximum number of significant digits in float values is up to 6 or 7.
a. True
b. False
By which rule are these triangles congruent? A) AAS B) ASA Eliminate C) SAS D) SSS
Answer:
D) SSSStep-by-step explanation:
In the given image you can observe two triangles with congruent sides,
[tex]PQ \cong SQ\\PN \cong SN\\QN \cong QN[/tex]
Notice that all three corresponding sides are congruent. That means,
[tex]\triangle PQN \cong \triangle SQN[/tex], by SSS postulate.
The SSS postulate states that if two triangles have all three corresponding sides congruent, then those triangles are congruent.
Therefore, the right answer is D) SSS.
Which type of function is the result of multiplying a quadratic function and a linear function?
a linear function
a quadratic function
a constant function
a cubic function
Answer:
option D a cubic function
Step-by-step explanation:
answer will be option D a cubic function
when we multiply a quadratic function with a linear function the solution comes out to be a cubic function.
Example
assuming a linear function be (x+3)
assuming a quadratic function be ( x² + x+ 3 )
multiplying both the equation
( x² + x+ 3 ) × (x+3)
x². x + 3 x² + x.x + 3 x + 3 x + 9
x³ + 4 x² + 6 x + 9
hence the answer will be cubic.
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle
we know that
In a [tex]30-60-90[/tex] triangle
the ratio between the lengths of the two legs is equal to the tangent
so
[tex]tan(30\°)= \frac{1}{\sqrt{3}}= \frac{\sqrt{3}}{3}[/tex]
[tex]tan(60\°)= \sqrt{3}[/tex]
therefore
the answer is
Option B
[tex]\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option C
[tex]\frac{\sqrt{3}}{3}[/tex] ------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option E
[tex]\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
What is the equation of the line shown in the graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.
y =_+_
Your answer is Y= 2x (a) + 4 (e)
The y intercept is 4 and the slope is 2
A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?
Find 3 consecutive odd integers whose sum is 117
Which statement describes the term salary? Salary refers to the fixed amount paid on a daily basis. Salary refers to the varying amount paid on a daily basis. Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis.
Answer with explanation:
The Meaning of word "Salary " is the Remuneration that you get for converting your energy for obtaining that resources which you don't have ,so you work for others who has other resources or can give you a way to obtain that resources,due to the reason that, you want to keep yourself Mentally as well as physically Healthy.
In today's world money is used for exchange of different goods,in the system created by Humans.So, Remuneration is replaced by "money".
Salary Varies ,on the work you are doing.Because different kind of work requires different amount of energy.So, you get payment according to the work you are doing .
Usually you have to work for five days in a week to get the payment for number of hours worked on each day.
Employee or workers get payment for number of hours worked on daily basis also.
But the word Salary is generally used
"Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis".
Option C
Answer: c. salary refers to the fixed amount paid on a weekly, bi- weekly, or monthly basis
Step-by-step explanation:
I feel like this is wrong but help plz
Who knows how to solve 9= -2+ 2x+ 1 ?
And also x-4= -9+ x
The sales tax rate in a city is 5.316%. how much sales taxes is changed on a camp stove that sells for $128.95?
Use the descriminant to describe the roots of each equation. Then select the best description. 16x^2+8x+1=0
State the domain and range for the function f(x) = 2x2 – 7. Show all steps, please.
Answer:
domain is (-∞,∞) and the range is [-7,∞)
Step-by-step explanation:
the guy who answered the question was wrong and i had to point it out
So the question says...
Suppose you have ∠SMB and m ∠SMB =125.35 °.
Part A: Determine the angle measure that is complement to ∠SMB, if possible. If ∠SMB does not have a complementary angle, then explain why it does not.
Part B: Determine the angle measure of the supplement of ∠SMB.
Part C: Determine the angle measure of the angle complement to ∠SMB’s supplement.
I’m stuck on this question so if anyone can help me with it that would be greatly appreciated. Thanks!
I need an algebra equation where the answer is 50
Jennifer is the coach for a Little League Baseball team, the Pirates. In choosing new uniforms, she must decide which is the better buy. She can choose from these two offers: 15 t-shirts for $5.83 each or five packages of three t-shirts for $9.78 per package.
Determine the lowest price for 15 uniforms.
A relation is?
a.)the output (y) values of the relation
b.)the input (x) values of the relation
c.)a set of points that pair input values with output values
d.)x and y values written in the form (x, y)
Answer:
C.) a set of points that pair input values with output values
Step-by-step explanation:
When the relation between two variables are considered, this implies that there is a constant relationship between them. Thus, one value can be match into the other at a constant factor. This variables (input and output values) can now be seggregated as dependent or independent variables. Dependent variable requires the other variable (independent) for it to change, while the independent can vary on its own.
Does anyone know this?
y = 8.6 * cos(44.25)=
6.1602
Rounded to nearest hundredth = 6.16
If f(x) = x + 2, find the value of x if f(x) = 12.
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction
The cost of the car after an 8% reduction on the initial price of £15,400 is £14,168. This is found by calculating 8% of the original price and subtracting that amount from the initial price.
The initial price of the car is £15,400. To calculate the price after an 8% reduction, we first find the value of the discount and then subtract it from the original price. An 8% reduction on £15,400 is calculated as follows:
Calculate 8% of £15,400: (8/100) * £15,400 = £1232.Subtract the discount from the original price: £15,400 - £1232 = £14,168.Therefore, as per the above explaination, the cost of the car after the reduction is £14,168.
Write an expression that evaluates to true if and only if the value of the boolean variable workedovertime is true. submit
Can someone help me with algebra? I REALLY NEED IT.
Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?
A. a number line with open circles at negative 2 and 5 with shading in between.
B. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right
C. number line with shading everywhere.
D. number line with open dot at negative 2 and a closed dot at 5 with shading in between.
The answer is B
I hope this helped :)
if STU is similar to XYZ the sides of STU must be congruent to the corresponding sides of XYZ
A;true
B;false
Answer:
false {apex}
Step-by-step explanation:
A building is 443m and dropped a penny, how long will it take to reach the ground