Answer:
y = 9x + 7
Step-by-step explanation:
Line is parallel to y = 9x + 4 and passes through the point (-1, -2)
m = slope
the slope of the line is the same for both lines, m = 9
the equation of the parallel line is y = 9x + a
-2 = (9) * (-1) + a
a = 7
y = 9x + 7
Bank A charges a monthly service fee of $5.00 and a per-check fee of $0.15,
B while Bank B charges a monthly service fee of $2.50 and a per-check fee of
$0.35. Which of these numbers of monthly checks will cause Bank A to
charge less in fees than Bank B?
for 5 monthly checks, both banks charge the same amount.
for x < 5, Bank B charges less.
for x > 5, Bank A charges less.
For what numbers of monthly checks will Bank A charge less than Bank B?Bank A charges a fixed fee of $5.00 plus $0.15 per-check fee.
So, if you do x monthly checks, Bank A will charge you:
A(x) = $5.00 + $0.15*x
Bank B charges a service fee (fixed) of $2.50 plus $0.35 per check, then for x monthly checks they charge:
B(x) = $2.50 + $0.35*x
Both banks will charge the same amount when:
A(x)= B(x)
So we need to solve the linear equation:
$5.00 + $0.15*x = $2.50 + $0.35*x
$5.00 - $2.50 = $0.35*x + $0.15*x
$2.50 = $0.50*x
$2.50/$0.50 = x = 5
So, for 5 monthly checks, both banks charge the same amount.
for x < 5, Bank B charges less.
for x > 5, Bank A charges less.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Answer: 19
Step-by-step explanation:
[tex]3x-8\leq 4[/tex]
Step-by-step explanation:
[tex]{ \tt{3x - 8 \leq 4}} \\ \\ { \tt{3x \leq4 + 8}} \\ \\ { \tt{3x \leq12}} \\ \\ { \tt{x \leq4}}[/tex]
One of the planet Saturn's rings has a diameter of approximately 2.5 × 105
kilometers. What is the diameter of the ring, in kilometers, written in standard
notation?
A.
2,500
B.
25,000
C. 250,000
D. 2,500,000
Answer:
its b
Step-by-step explanation:
cause i said so
1. Find the domain and range of the function shown in the table.
X
y
-2
-1
5.5
0
4
3.5
0
4
-1
5.5
-1
8
-3.5
Domain of the function: {-2, -1, 0, 3.5, 4, 5.5, 8}
Range of the function: {-3.5, -1, 0, 4, 5.5, 6}
What is the Domain of a Function?In a relation which represents a function, all the x-values of the relation make up the domain of the function. That means the the elements of the domain of the function consists of all set of x-values.
What is the Range of a Function?On the other hand, all the corresponding y-values of the relation make up the range of the function. This implies that, the elements of the range of the function consists of all set of y-values.
The domain of the function is therefore: {-2, -1, 0, 3.5, 4, 5.5, 8}
The range of the function is therefore: {-3.5, -1, 0, 4, 5.5, 6}
Learn more about the range and domain of a function on:
https://brainly.com/question/10197594
#SPJ1
Solve the equation. 5-2x/3 +1 -3x-2/5=-x
Answer: x = 21/10
............................................................................................................................
please help if possible
Answer: (5,2)
Step-by-step explanation:
5 + 2 = 7
5 = 2 + 3
Find the following given the function f(x)=
Answer:
The function f defined by the formula f(x) = 2x +1 can be expressed as: f(4) = 9; f(-5) = - 9, f(0) = 1,
The function of a function defines and explains the relationship between two different variables. From the given information, we are meant to replace x with the following given options and solve for the value of x.
f(4) = 2(4) + 1
f(4) = 8 + 1
f(4) = 9
f(-5) = 2(-5) + 1
f(-5) = -10 + 1
f(-5) = - 9
f(0) = 2(0) + 1
f(0) = 0 + 1
f(0) = 1
Step-by-step explanation:
Basically first you have to check what the f(x) fits into what category.
The picture shows different equations based on what the f(x) is.
In this case, f(x) is 7. So first check is 7 greater than 5, YES. But check with the next one too. Is 7 less than or equal to 5, NOPE
So your equation your going to be substituting with is x squared-x
Little bit stuck still? Here:
What is 7 to the power of 2 is 7x7=49
Then, 49-7=42
42 is your answer. If this is for RSM ENTER ONLY 42 INTO THE PORTAL.
I'm a student too and had this question too.
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Part (b)
[tex]f(3)=-3^3 + 4(3)^2-2(3)+2 \\ \\ =-27+36-6+2 \\ \\ =9-4 \\ \\ =\boxed{5}[/tex]
Part (c)
[tex]f(-2)=-(-2)^3+4(-2)^2-2(-2)+2 \\ \\ =16+16+4+2 \\ \\ =\boxed{38}[/tex]
can you help me in whats y=x+2
Can anyone help me with #65?
Answer:
X = 73.448
Step-by-step explanation:
First you have to multiply 1.645 by 2.4 to get rid of 2.4 on the right side of the equation. Then you should have 3.948 = x - 69.5. After that all you have to do is add 69.5 to 3.948 then you have x.
1. How many whole numbers between 1 and 20 is divisible by 2? by4? by 6?
2. How many whole numbers between 1 and 100that are not divisible by 3? or by 11?
3. Fill the empty boxes to show the largest possible value of _ 8 9 4 9 _
4. which of the following numbers in the set is is divisible by 12? {256, 519, 822}
5. which of the following numbers in the set is divisinle by? {4256, 5225, 6336, 8119}
6. write down any 3-digit number, Repeat the 3 digits to make 6-digit number.
Divide the 6-digit number by 13 , divide again by 11. Lastly,divide the quotient from the second divisiion by 7. What did you get? Explain.
7.Find the value represent by _ in the 6 digit number, 458,___ Such that this number is the smallest divisible 3, 4, and 5.
Answer:
divisible by 2
2,4,6,
8,10,12,14,16,18,20
divisible by4
4,8,13,16,20
divisible by 6
6,12,
Solve (v +8) ^4/5= 2
Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Total Current Assets? Specify as a whole number.
The current assets total of Adventure Travel. at December 31, 20XX is $44,300
What are current assets?
Current assets are short-term resources owned by Adventure Travel which are used in its daily operations such as the cash, accounts receivable as well the office supplies which are current assets until consumed
In other words, in a bid to determine current assets total, we sum up the cash, accounts receivable and the office supplies of the company since there are no other current assets aside the aforementioned ones.
Current assets total=cash+ accounts receivable+ office supplies
cash=$25,000
accounts receivable=$ 15,000
office supplies=$4,300
current assets total=$25,000+$15,000+$4,300
current assets total=$44,300
Find out more about current assets on:brainly.com/question/28574026
#SPJ1
f(x) = [tex]\frac{x-9}{6x+6}[/tex]
Find an equation for the tangent line to the graph of f at x= 11.
Tangent line: y = ??
The equation of the line tangent to the curve at x = 11 is y = (5 / 432) · x - 43 / 432.
What is the equation of the line tangent to a given curve?
Herein we have a rational function, of which we must derive the equation of the line tangent to the curve at a given point. First, find the first derivative of the function by derivative rules:
f'(x) = [(6 · x + 6) - 6 · (x - 9)] / (6 · x + 6)²
f'(x) = 60 / (6 · x + 6)²
Second, evaluate the first derivative of the function:
f'(11) = 60 / (6 · 11 + 6)²
f'(11) = 5 / 432
This value represents the slope of the tangent line.
Third, calculate the y-value of the curve:
f(11) = (11 - 9) / (6 · 11 + 6)
f(11) = 1 / 36
Fourth, determine the intercept of the tangent line:
b = 1 / 36 - (5 / 432) · (11)
b = - 43 / 432
The equation of the line tangent to the curve at x = 11 is y = (5 / 432) · x - 43 / 432.
To learn more on tangent lines: https://brainly.com/question/17193273
#SPJ1
15. m 16. m 17. m 18. m 19. m 20. m
Answer:
15. 125
16. 160
17. 110
18. 150
19. 35
20. 80
Step-by-step explanation:
This should work, if not, well sorry
Can somebody please help me with question 2? Thanks! :)
Answer:72 bracelets
Step-by-step explanation:
24*3
72 bracelets
If she can make 4 bracelets with 12 beads, you divide to get three. Three times 24 is 72 bracelets
Write the equation of the line in point-slope form that passes through the points
(
−
8
,
2
)
and
(
6
,
8
)
.
Answer:
y -2 = 3/7(x +8)
Step-by-step explanation:
You want a point-slope equation of the line through points (-8, 2) and (6, 8).
SlopeThe slope of the line is given by the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) are points on the line
Using the given points, we find the slope to be ...
m = (8 -2)/(6 -(-8)) = 6/14 = 3/7
Point-slope equationThe equation of a line with slope m through point (h, k) is written in point-slope form as ...
y -k = m(x -h)
Here, we have m=3/7, and (h, k) = (-8, 2). This means the equation of the line is ...
y -2 = 3/7(x +8)
Getaway Sports is a vacation destination for the serious sports fanatic.
Rajesh is in charge of equipment for the complex. The last shipment of ping-pong balls was normally distributed with a mean weight of 2.7 grams and a standard deviation of 0.1 gram. The 100-pound weights he orders from the manufacturer for the fitness center are normally distributed with mean weight 100.2 pounds and standard deviation 0.1 pound.
A) Which distribution has the larger standard deviation?
B) Which distribution is more dispersed? Explain.
The standard deviation of the fitness center is larger than the standard deviation of the last shipment
Which distribution has the larger standard deviation?The given parameters are:
Distribution: Normal distribution
The last shipment
Mean weight = 2.7 grams
Standard deviation = 0.1 gram.
Fitness center
Mean weight = 100.2 pounds
Standard deviation = 0.1 pound
In the above parameters, we can see that the fitness center has a larger mean weight than the last shipment, while they both have the same standard deviation
This means that the standard deviation of the fitness center is larger than the standard deviation of the last shipment
And so, the distribution of the fitness center is more dispersed
Read more about standard deviation at:
https://brainly.com/question/4514629
#SPJ1
Cindy gave away 12% of her lollipop and is now left with 220 lollipops. Calculate the number of lollipops Cindy had ?
Answer:
The answer would be 250.
Step-by-step explanation:
Cindy started off with 250 lollipops, gave away 30 (which is 12% of 250) and stayed with 220.
250-30=220
Find the distance between the point (-5,4) and the origin. Enter the distance as a radical or a decimal rounded to the four decimal place.
Answer:
6.4031
Step-by-step explanation:
х °
51 °
39°
127°
Find value of x .
Answer:
x = 143
Step-by-step explanation:
You want the fourth angle when three of the angles around a point are given.
Angle totalThe total of angles around a point is 360°. That means ...
x° +51° +39° +127° = 360°
x = 360 -217 . . . . . . . . . . . subtract 217 and simplify
x = 143
__
Additional comment
This means the figure is not drawn to scale, and the diagonal is not a straight line.
Please help me with this question
Step-by-step explanation:
try this option (see the attachment), if it is possible, check the yellow text.
A student has a savings account earning 3% simple interest. She must pay $1200 for first-semester tuition by September 1 and $1200 for second-semester tuition by January 1. How
much must she earn in the summer (by September 1) to pay the first-semester bill on time and still have the remainder of her summer earnings grow to $1200 between September 1
and January 1? (Round your answer to the nearest cent.)
Using simple interest, it is found that she needs to earn $2,391.07 during the summer.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
A(t) = A(0)(1 + rt)
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.For this problem, the objective is to have $1200 in 3 months = 0.25 years, hence the parameters are given as follows:
A(0.25) = 1200, t = 0.25, r = 0.03.
Hence we have to solve for A(0):
A(0)(1 + 0.03 x 0.25) = 1200
A(0) = 1200/(1 + 0.03 x 0.25)
A(0) = $1,191.07.
She also needs to earn $1,200 to pay the first-semester bill on time, hence:
1200 + 1191.07 = $2,391.07.
She needs to earn $2,391.07 during the summer.
More can be learned about simple interest at https://brainly.com/question/16646150
#SPJ1
In a mathematical statement, ____ usually means “multiplication.”
• base
• is
• of
• percent
write the answer in order from top to bottom
Answer:
6% of 400 = 2 400
Step-by-step explanation:
6% of 200 is
Triangle DHS has the coordinates D(-5, 1), H(-4, 5) and S(-1, 2). What are the coordinates of D'H'S' if DHS is translated 2 units right and 1 unit down?
The new coordinates after translating 2 units right and 1 unit down are D'(-3,0), H'(-2,4) and S'(1,1) respectively.
Given, triangle DHS has the coordinates D(-5, 1), H(-4, 5) and S(-1, 2). Now, we have to find the coordinates of D'H'S' if DHS is translated 2 units right and 1 unit down.
A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.
To translate the point P(x,y), 'a' units right and 'b' units down, use P′(x+a,y-b).
Now, let's proceed to solve the question according to above listed points accordingly.
D(-5, 1), H(-4, 5) and S(-1, 2), these coordinates are translated 2 units right and 1 unit down. So, we will simply add 2 to the x-coordinate of the points and will subtract 1 from the y-coordinate.
Let's translate D, H and S accordingly into D', H' and S'.
D(-5,1)⇒ D(-5+2, 1-1)⇒ D'(-3,0)
H(-4,5)⇒ H(-4+2, 5-1)⇒ H'(-2,4)
S(-1,2)⇒ S(-1+2, 2-1)⇒ S'(1,1)
Therefore, the new coordinates after translation are D'(-3,0), H'(-2,4) and S'(1,1) respectively.
Learn more in depth about translation at https://brainly.com/question/12861087
#SPJ1
Find the volume of a sphere with a diameter of 6 centimeters.
A. 12 cubic centimeters
B. 288 cubic centimeters
C. 9 cubic centimeters
D. 36 cubic centimeters
(Please pick one of the answers above)
Step-by-step explanation:
A 12 cubic centimeters I think
x-y=0
6x + 5y = -22
The lines intersect at
A. (2.-2)
B. (-2,-2)
C. (2.2)
Answer:
B
Step-by-step explanation:
x - y = 0 ( add y to both sides )
x = y → (1)
6x + 5y = - 22 → (2)
substitute x = y into (2)
6y + 5y = - 22
11y = - 22 ( divide both sides by 11 (
y = - 2
since x = y then x = - 2
the lines intersect at (- 2, - 2 )
In triangle ABC,
m
M
M
M
Answer:
In a triangle all angles add up to make 180 degrees. If a triangle is equal like this one, Δ, then all angles equal 60 degrees.
Step-by-step explanation:
If this is incorrect, then explain what you want more precisely.
The line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8).
The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8) is 2y - 5x = 0.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's suppose the equation of that line as the slope-intercept form is
y = mx + c
Where m is the slope while c is the y-intercept.
Now this line is parallel to a line that passes through points (8, 3) and
(10, 8) thus meaning the slope of both lines must be the same.
So,
Slope associated with points (8, 3) and (10, 8) ⇒
m = difference in y's coordinate / difference in x's coordinate
m = (8 - 3)/(10 - 3)
m = 5/7
So our equation will be y = (5/7)x + c
Since it is passing through the origin or (0,0) so it will satisfy the coordinate.
Therefore,
0 = (5/7)0 + c ⇒ c = 0
It means y = (5/7)x ⇒ 7y - 5x = 0 will be the equation.
Hence "The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8) is 2y - 5x = 0".
For more about the equation,
https://brainly.com/question/10413253
#SPJ1
The given question is an incomplete complete question as follows;
The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8).
