Answer:
9x + 1
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of the same variables.
Add 5x and 4x:
5x + 4x + 1
(5x + 4x) + 1
9x + 1
9x + 1 is your answer.
~
Your total monthly bill (T
) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k
) you use, you are charged $0.25
and for each therm (t
) of gas used you are charged $0.97
.
Which of the following equations represents the relationship between electricity and gas used and your bill?
The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
Step-by-step explanation:
Make a plan:
We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).
T = 0.25 * k + 0.97 * t
Solve the problem:
1 - Write the Equation for the cost of Electricity:
0.25 * k
2 - Write the Equation for the Cost of Gas:
0.97 * t
3 - Combine the Equations to Represent the total Monthly Bill (T):
T = 0.25 * k + 0.97 * t
Draw the Conclusion:Hence, The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
I hope that helps!
Kwame is given the graph below.
Which of the following best describes the graph?
a quadratic equation with differences of 1, then 2, then 4, ...
an exponential function with a growth factor of 2
a quadratic function with a constant difference of 2
an exponential function with growth factors of 1, then 2, then 4, ..
The best description of the graph is "a quadratic function with a constant difference of 2."
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.
In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.
On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.
Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.
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x(x+6)(2x-7)=0 . Which values are solutions to this equation ? Choose all that apply.
A) 0
B) 3.5
C) 6
D) -3.5
E) -6
Answer:
A, B, E
Step-by-step explanation:
x(x +6)(2x -7)= 0
For the product of these 3 factors to be equal to zero, one of them (x, x+6, or 2x-7) must be a zero.
x= 0 or x +6= 0 or 2x -7= 0
x= -6 or 2x= 7
x= 3.5
Thus, options A, B and E are correct.
The formula v=at +16t² is used in mechanics.Rewrite to nake a the subject and find it's value when v=27 and t=4
Answer:
\(v = at + 16 {t}^{2} \\ v - 16 {t}^{2} = at \\ \frac{v - 16 {t}^{2} }{t} = a \\ (27 - 16 \times {4}^{2}) \div 4 = a\\ \frac{27 - 256}{4} = a\\ \frac{ - 229}{4} = - 57.25 \\ thank \: you\)
What is the slope of the line that passes through the points (8, 2) and (10, 2)? Write
your answer in simplest form.
Answer:
0
Step-by-step explanation:
The y-coordinates are the same, so the line is horizontal. Therefore, the slope is zero.
6. Given h(x) =12+x2 find h(-5)
What is F(-x)?
F(x)=x^3+1
Answer:
F(-x) = 0
Step-by-step explanation:
What is F(-x)?
F(-x) = F(-1)
F(x) = x³ + 1 F(-1)
F(-1) = -1³ + 1
F(-1) = -1 + 1
F(-1) = 0
So, F(-x) = 0
Answer:
f(-1) = 0
Step-by-step explanation:
Evaluating a function for f(-x) is the same as evaluating it for f(-1).
So we plug in -1 instead.
f(-1) = x³ + 1
= (-1)³ + 1 (here we cube -1)
= -1 + 1 (here we subtract)
= 0 (and, this is the answer)
\(\therefore\) The answer is f(-1) = 0
Please Help
8x + 1
115⁰
What is the sum of 11/12+5/6
Answer:
21/12 or 1 9/12
Step-by-step explanation:
find the common denominator
What is the value of x in 145.95-2x=-4.05?
Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes
Answer:
-24+6=
Step-by-step explanation:
select the correct rule, then solve the equation
Complete Question
Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes
What is the class width? (whole number)
We have that the Class Width is given as
7-19
20-32
33-45
46-58
59-71
72-84
Generally
\(Class\ width =\frac{83-7}{6}\)
Class width =12.67
Class width =13
Hence
Lower class limit is
7,7+13=20...33,46,59,72
Upper class limit is
7+13-1=19,32,45,58,71,84
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Danny and Delilah were playing a game where they drew digits and placed them on a game board. Danny built the number 247. Delilah built the number 724. How much greater is the value of the digit 2 in Danny's number than the value of the digit 2 in Delilah's number?
Answer:
• This student received Met because the student stated that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number. The student stated that the 4 in Delilah’s number is one tenth the value of the 4 in Danny’s number. The student stated that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.
This student received Progressing because the student correctly stated that Danny’s number was ten times bigger. The student also stated that the 4 in Delilah’s number is ten times smaller. The student stated the value of the digit 7 without referring to how the values compared.
Step-by-step explanation:
hope this helps :) (:
A number n minus the sum of the number and eight
The algebraic expression for the sentence in this problem is given as follows:
n - (x + 8).
How to obtain the algebraic expression for the sentence?The sentence in this problem is given as follows:
"A number n minus the sum of the number and eight".
The sum of an unknown number x and eight is given as follows:
x + 8.
The subtraction of the number n by the expression is given as follows:
n - (x + 8).
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If the independent variable becomes very large what would be the expected change in the dependent variable
Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Step-by-step explanation:
Graphing rational functions. I need help asap!!!!
Answer:
1.
Vert. asymptote: x = {-3, 2}
Horiz. asymptote: y = 0
x-int: None
Question 3.
a. There is no hole
b. Vert. asymptote: x = {-2, 2}
c. f(x) = 0: x = {0, -1/2}
d. The graph has no hole at (-2, 4)
Question 4.
a. Vert. asymptote: x = {-2, 2}
b. f(x) = 0: x = {0, -1/2}
c. Horizontal asymptote: y = 2
d. The graph has no hole
I'm a bit confused. Some of the things stated in the question aren't true like how there are holes in places where there aren't.
Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
Hope this helps!
Which model represents 1/3
I need help please and thank you
(4+5) divided by 3x4=
The equivalent value of the expression is A = 0.75
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 4 + 5 ) / ( 3 x 4 )
On simplifying the equation , we get
A = 9 / 12
A = 3 / 4
On further simplification , we get
A = 0.75
Hence , the expression is A = 0.75
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please help! I'm almost out of time on my assignment
find two numbers the sum of whose squares is 100, and the product of one of which times the other is equal to three times the square of the smaller plus six times this smaller one. let x and y be the two numbers such that x
FICA Taxes
Tax source
Social Security
Medicaid
Tax rate
6.2%
1.45%
How much does
an employee who
earns $64,000
gross salary pay
total for FICA
Taxes?
The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.
What is meant by gross salary?The amount you earn each month before taxes and other deductions is referred to as your monthly gross income. In other words, it's your annual salary divided by 12. It's only a simple metric to aid in budgeting and other routine financial computations.
Annual Salary Amount / Number of Pay Periods = Gross Pay.
Gross pay equals the number of hours worked in a pay period multiplied by the hourly rate (+ overtime hours multiplied by the hourly overtime rate).
Given,
Tax rate=6.2%
=64000(6.2/100)
=3968
And also given another tax rate is 1.45%
=64000(1.45/100)
=92.8
Total=3968+928
=$4896
Therefore, the total gross salary for FICA taxes is $4896.
The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.
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. Consider the recurrence T(n) = 2n + T(bn/4c) + T(b(3/4)nc), where T(n) = 1 if n < 10. Prove by induction that T(n) = O(n log n). g
Step-by-step explanation:
\($ T(n) = T(\frac{n}{4})+T(\frac{3n}{4})+2n \ \ \; \ n > 10 $\)
\($ T(n) = 0; \ \ n<0 $\)
Therefore,
\($ T(n)= T(\frac{n}{4})+T(\frac{3n}{4})+2n $\)
\($ T(\frac{n}{4})= T(\frac{n}{16})+T(\frac{3n}{16})+(\frac{2n}{4}) \ \ ...(i)$\)
\($ T(\frac{3n}{4})= T(\frac{3n}{16})+T(\frac{9n}{16})+(\frac{6n}{4}) \ \ ...(ii)$\)
\($ \Rightarrow \frac{n+3n+3n+9n}{16} = \frac{16n}{16}$\)
= n
\($ \therefore n+n+n+.... = n \cdot \log_{\frac{4}{3}}n$\)
\($ \therefore T(n) = n \cdot \log_{\frac{4}{3}}n$\)
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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What is the value of the expression when x = 5? 3x^2 + 14 - 10x
Answer: 39
Step-by-step explanation:
HELP! If given the following Graph:
Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly budget. Andre divided his income into five categories and created the following circle graph to represent the budget he created for himself.
Explain how to find the dollar amount that represents the part of his monthly budget labeled "Rent".
Answer:
So Andre earns $4,000 per month, so that means the entire pie chart represents all $4,000. Now that you know that, you just have to know what each percent is of 4,000.
For example: For rent it says 33%. 33% of 4,000 is the same as (33% × 4,000), which is $1,320. So that means rent is $1,320 per month, I'm guessing.
Other = $880
Savings = $1,000
Utilities = $320
Groceries = $480
Formula is: (Percent × "number you want to know percent of")
Hope this makes sense, if I'm right, could you mark me brainliest please :)
Find three ratios equivalent to the ratio described in the situation the ratio of cups of water to cups of milk in a recipe 1 to 5
10 + 10 = 21
dont ask howwwwww
Help ASAP please see photo
The circle with a chord are those that have a line joining two points on the circumferences
What is a chord?Recall that a chord a chord of a circle is a line segment that joins any two points on the circumference of the circle
From question number 1, the chords are circles 1, 2 and 5. This is because each of the circles has a line joining two points
2) From question 2 all the chords intercepted each other. This is because an intercept is a point where two straight lines meet. or you can say that An intercept in mathematics is a point on the y-axis through which the slope of a line passes
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