Answer:
x = 11/c
Step-by-step explanation:
Solve for x:
c x - 4 = 7
Hint: | Isolate terms with x to the left-hand side.
Add 4 to both sides:
c x = 11
Hint: | Solve for x.
Divide both sides by c:
Answer: x = 11/c
4. A video club costs $20 to join. Each video that is rented costs $2.25. Let v represent the number of videos.
Identify the independent and dependent variables. Then, write a rule in function notation for the situation.
a. Independent: videos rented; Dependent: total cost; f(v) = 2.25v - 20
b. Independent: videos rented; Dependent: total cost; f(v) = 2.25y + 20
c. Independent: videos rented; Dependent: total cost; f(v) = 20v +2.25
d. Independent: total cost; Dependent: videos rented; f(v) = 20v – 2.25
Answer:
B.
Step-by-step explanation:
$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.
$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.
So, we would have the equation:
f(v) = 2.25v + 20
f(v) is the total cost.
B is your answer because it is the only one with the correct equation.
Hope this helps!
16/5 divided by 6/5 =
A. 3/8
B. 96/25
C. 8/3
D. 25/96
15. Which of the following is equivalent to (4x+6) (2x - 3)??
(4x+6) (2x)+(4x+6) (3)
O (4x) (2x) + (6) (-3)
O (4x+6) (2x) + (4x+6)(-3)
O (4x) (2x) + 6(2x - 3)
Explanation:
Replace (4x+6) with another variable. Let's go for w.
We'll then use the distributive property like so,
(4x+6)(2x-3)
w*(2x-3)
w*2x + w*(-3)
(4x+6)(2x) + (4x+6)(-3)
Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
The algebraic expression for Desmond's height is x + 5.
write an algebraic expression for Desmond's height.If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.
So the algebraic expression for Desmond's height is x + 5.
What are algebraic expression?Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).
They can contain one or more variables and can be evaluated for different values of the variables.
For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.
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Solve. Write the solution in interval notation.
The solution in interval notation is; (-∞, 49/2).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:
5/16x - 7/4 < 3/4x + 21/2
Combining like terms:
5/16x -3/4x < 21/2 + 7/4
8/16x < 49/4
1/2x < 49/4
Simplifying the fraction;
x < 49/2
Therefore, the solution in interval notation is (-∞, 49/2).
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what transformation change the graph of f(X)= -x to the graph of g(X)=0.1(x-6)?
Answer:
slope change to 1/10 or 0.1 and horizontal shift of positive 6
Step-by-step explanation:
Can I please get help? Find M1 and M2
Answer:
m∠1 = 110° and m∠2 = 70°
Step-by-step explanation:
m∠1 = 110° since vertical angles
To find m∠2, m∠1 and m∠2 must add to 180°
m∠1 + m∠2 = 180°
110° + m∠2 = 180°
m∠2 = 70°
A person’s blood pressure, p, in millimeters of mercury (mm Hg) is given, for t in seconds, by p = 100 + 20 sin(2.5πt). (a) What are the maximum and minimum values of blood pressure? (b) What is the interval between successive maxima? (c) Show your answers on a graph of blood pressure against time.
Related Question
(a) A person's blood pressure is measured to be 120 ± 2 mm Hg . What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?
Answer:
Given equation:
p = 100 + 20 sin(2.5πt)
Part (a)
As: -1 ≤ sin(x) ≤ 1
Then: -1 ≤ sin(2.5πt) ≤ 1
So: -20 ≤ 20 sin(2.5πt) ≤ 20
Therefore:
Maximum value = 100 + 20 = 120
Minimum value = 100 - 20 = 80
Part (b)
The interval between successive maxima is the period.
The period is 2π/B where B is the coefficient of the independent variable.
⇒ Period = 2π ÷ 2.5π = 0.8
Part (c)
Attached
[Note - you do not need to add the period show in red on the graph when drawing the graph. This has been added to prove part (b)]
which parent functions have a y-intercept at (0,0)? select all that apply
Answer: A,E or F.
Step-by-step explanation: That's the only ones that have X's and then x is 0
sarah borrows $3,145 at a rate of 4 1/8% compounded annually. how much interest will she owe after 4.5 years
Using compound interest, the total amount accrued, principal plus interest, with compound interest on a principal of $3,145.00 at a rate of 4.125% per year compounded 1 times per year over 4.5 years is $3,772.40.
Define compound interest?Interest that is accrued on both principal and previous interest is known as compound interest. As a result, it is often referred to as "interest over the interest". Here, the principal is increased by the interest that has already accrued, and the resulting sum serves as the new principal for the subsequent period. i.e., compound interest is equal to interest on the principal plus interest on interest already paid.
First, convert R as a percent to r as a decimal.
r = R/100
r = 4.125/100
r = 0.04125 rate per year,
Then solve the equation for A
A = P \((1 + r/n)^{nt}\)
A = 3,145.00 \((1 + 0.04125)^{4.5}\)
A = $3,772.40
The total amount accrued, principal plus interest, with compound interest on a principal of $3,145.00 at a rate of 4.125% per year compounded 1 times per year over 4.5 years is $3,772.40.
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Perform the indicated operations
Find the inverse function of f(x)=4x-8
Answer:
f^-1(x)=1/4x+2
Step-by-step explanation:
y=4x-8
change x and y
x=4y=8
switch sides
4y-8=x
add 8
4y=x+8
divide both sides by 4
y=1/4x+2
substitute f^-1(x) for y
f^-1(x)=1/4x+2
if you answer this correctly, i’ll give you brainliest!
-
-
find the value of x to make the following expression true:
6x = 216
Answer:
Original equation: 6x=216
Divide by 6: x=36
Let me know if this helps!
Answer:
If 216 = 6x then x = 216/6
216/6 = 36
x = 36
Step-by-step explanation:
3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answer:
O a=0
Step-by-step explanation:
question 1 is on the photo attached
question 2-
is the piecewise function from problem 1 continuous or discontinuous?
A continuous
B discontinuous
C neither
D both
Answer:
ABStep-by-step explanation:
1.The closed circle at (2, -1) means the domain of the rightmost piece is x ≥ 2. That is correctly shown in choices A and C.
The domains of the remaining pieces are continuous, so the gap between -3 and -2 in choice C is inappropriate. The correct choice is A.
__
2.A function is continuous if you can draw its graph without lifting your pencil. Here, there is a jump discontinuity at x=2, so this function is discontinuous.
Can someone help me please!!
Answer:
y = (-3x/5) +1
Step-by-step explanation:
We know that the line passes through the point (-5 , 4)
AND
the slope is given to be -3/5
let's look at the slope a bit more
we know that the formula for slope of a line is Rise / Run
Which means that the rise of this line is -3 after spanning 5 units to the right
Hence, the line goes down 3 units after moving 5 units to the right
We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line
since we are already given the slope, we need to find the point where the line intersects the y-axis
Now, back to the given point the line passes through
this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards
So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3
Hence, the y-intercept will be 3 units below the given y -coordinate
y - intercept = (4 - 3) = 1 = y-intercept
Now, using the slope-intercept formula to get the equation:
y = (slope)*x + (y-intercept )
y = (-3/5)x + (1)
y = (-3x/5) + 1
Mr. Cole made this diagram of his bedroom. Which is the area of Mr. Cole’s bedroom? 90 square feet 82 square feet 72 square feet 36 square feet
Answer:
The answer is 82 square feet
Step-by-step explanation:
An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.
I am going to do the first option.
The area of a rectangle is length times width.
Rectangle one can be the one with the dimensions 10 and 5 and the length and width.
Rectangle two can be the one with the dimensions 8 and 4 and the length and width.
Area of rectangle one = 50 feet^2
Area of rectangle two = 32 feet^2
Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.
Set up an equation for x and solve to the nearest degree
Answer:
Almost equals 28°
Step-by-step explanation:
cos(x)= 12/18
x= cos^-1 (12/18)
So it equals 48.1896°
A = 100(1+r)^4
Expand the right of this formula.
appreciate your help with an explanation
Answer:
100r^4 + 400r^3 + 600r^2 + 400r + 100
Step-by-step explanation:
Expanding ( r + 1 )^4 gives :-
r^4 + 4r^3 + 6r^2 + 4r + 1
So multiplying 100 with r^4 + 4r^3 + 6r^2 + 4r + 1 gives :-
100r^4 + 400r^3 + 600r^2 + 400r + 100
what is the
quotient of 62.72+4.9
Answer:
12.8
Step-by-step explanation:
Quotient means the answer of two things divided.
62.72/4.9=12.8
Please help me answer the question from the photo
Answer:
A
Step-by-step explanation:
as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.
Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?
Answer:
14.4 units²
Step-by-step explanation:
The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S
Let the area of rectangle S be represented by x, therefore:
40 : x = 8² : 4.8²
40/x = 64/23.04
Cross multiply
x*64 = 40*23.04
64x = 921.6
x = 921.6/64
x = 14.4
Area of rectangle S = 14.4 units²
If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is
the first term?
Answer:
the first term is 4
Fine the missing length to the nearest 10th
The value of the missing length to the nearest tenth are;
a. x = 7.5
b. x = 7.8
What is Pythagoras theorem?Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Therefore ;
c² = a²+b²
a. x² = 9²-5²
x² = 81-25
x² = 56
x = √56
x = 7.5 ( nearest tenth)
b. using Pythagoras theorem also!
x² = 6²+5²
x² = 36+25
x² = 61
x = √61
x = 7.8( nearest tenth).
Therefore the value of the missing values are 7.5 and 7.8
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a medical transcriptionist has a four drawer cabinet. one drawer is 4/5 full and one is 1/2 full and one drawer is 3/4 full. can the contents be combined into 3 drawers why or why not
Answer:
well the sum of all the fraction combined are 2.05, so you could fill 2 1/2 drawers. So technically you could use 3 drawers, but the 3rd one won't be full.
hope that helps
Statistics question 8
A survey is sent out to a sample of voters about an upcoming election via text messaging. Do you think this will produce an unbiased sample? Give your reasons for your answer.
Answer:
This will not produce an unbiased sample
Step-by-step explanation:
Reason for this is that not many people have phones believe it or not, therefore you are discriminating against the people without phones
Write your answer as a fraction or as a whole or mixed number
2 6/8 + 3 5/8 =
Answer:
6 3/8
Step-by-step explanation:
2 6/8 + 3 5/8
= (2 + 3) + ( 6/8 + 5/8)
= 5 + (6 + 5)/8
= 5 + 11/8
= 5 + 1 3/8
= 6 3/8
i need a an A pls help
Answer:
it B
Step-by-step explanation:
B stands for ben
like talking ben?
Answer:
c. 7x-2=19
Step-by-step explanation:
1. add 2 to both sides 7x-2(+2)=19+2
2. divide by 7 on both sides7x/7=21/7
3. x=3
The average age of doctors in a certain hospital is 42.0 years old with a standard deviation of 10.0 years. If 16 doctors are chosen at random for a committee, find the probability that the mean age of those doctors is less than 43.50 years. Assume that the variable is normally distributed. Group of answer choices
There is a 65.54% probability that the average age of those doctors is under 48.8 years.
What is probability?Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
True mean = mean (or average)+/- Z*SD/sqrt (sample population)
Then,
Mean (average) = 48.0 years
The true mean must be less than 48.8 years.
SD = 6.0 years, and
Sample size (n) = 9 doctors
Using Z as the formula's subject:
Z= (True mean - mean)/(SD/sqrt (n))
Inserting values:
Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4
From the table of normal distribution probabilities:
At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%
Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.
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Complete question:
The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.
Reflect (8-7) across the -axis.
Then reflect the result across the -axis again.
What are the coordinates of the final point
If the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)
Reflection of coordinateIf the coordinate (x, y) is reflected over the x-axis, the resulting coordinate will be at (x,-y).
Given the coordinate point (8, -7), if the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)
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