Answers
The value of the given function is given as follows f(-5) ,g(2),f(4m) are 25,-3,-12m+10.
The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope. The vertex of a quadratic function is calculated by rearranging the equation to its general form, f(x) = a(x – h)2 + k; where (h, k) is the vertex.
The notation y=f(x) defines a function named f. This is read as “y is a function of x.” The letter x represents the input value or independent variable. The letter y, or f(x), represents the output value, or dependent variable
F(x) is the notation for a function which is essentially the thing that does your operation to your input. You can think of a function as a little machine. You put in your input, it changes it around and gives you output in return. F(x) means it's a function f with respect to x.
f(x) = -3x+10
f(-5) = -3*-5 +10
= 15+10=25
g(x) = x^2-7
g(2)= 2^2-7
= 4-7
=-3
f(4m) = -3x+10
= -3*4m+10
=-12m +10
= -12m +10
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The values of the above functions are 25, 3, and 12m+10 for f(-5) and g(2) and f(4m), respectively.
By rearranging the equation to take on its general form, f(x) = mx + c, where m is the slope, one can determine the slope of a linear function. By rearranging the equation to its general form, f(x) = a(x - h)2 + k, where (h, k) is the vertex, one can determine the location of a quadratic function's vertex.
A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value or independent variable is denoted by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).
A function is essentially the item that applies your operation to your input, and its notation is F(x). A function can be compared to a tiny machine. You provide your input, which is altered and converted into output. F(x) denotes that a function is one that has respect to x.
f(x) = -3x+10
f(-5) = -3*-5 +10
= 15+10=25
g(x) = x^2-7
g(2)= 2^2-7
= 4-7
=-3
f(4m) = -3x+10
= -3*4m+10
=-12m +10
= -12m +10
Related Questions
part 1 of 2
Video games cost $20 each. The video store
is running a special of 2 games for $33.
What is the cost per game under the spe-
cial?
Answer in units of dollars/game.
part 2 of 2
How much do you save per game?
Answer in units of dollars/game.
Answers
(33/2)
You save $3.50 per game
(20-16.50)
Answer: C i took the test
" If you buy a new cell phone, your opportunity cost is the time you could spend talking on the phone."
Step-by-step explanation:
I took the test and got an A hope this helps.
Let f(x)=−8x+8-6x2 Then the expression hf(x+h)−f(x) can be written in the form Ah+Bx+C, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants.
Answers
Answer:
Hello,
Step-by-step explanation:
[tex]f(x)=-6x^2-8x+8\\\\f(x+h)=-6(x+h)^2-8(x+h)+8-(-6x^2-8x+8)\\=-12xh-6h^2-8h\\=h(-6h-12x-8)\\\\A=-6\\B=-12\\C=-8\\[/tex]
Simplify it 2x-[y+{y-(x+2y)}]
Answers
3x
Step-by-step explanation:
2x-[y+{y-(x+2y)}]
2x-[y+y-x-2y]
2x-y-y+x+2y
2x-2y+x+2y
2x+x
= 3x
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 financial statements for December 20XX. Now, it is time to make the closing entries.
We will close the expense accounts second: what dollar amount will I enter for the Income Summary account? Specify as a whole number.
Answers
The dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.
What are closing entries?Closing entries are the end-of-the-period journal entries made to transfer the temporary accounts to the Income Summary.
The closing entries are:
Revenue to income summaryExpenses to income summaryIncome summary (net income or loss) to retained earningsDividends to retained earnings.How will the closing entry be for expenses?The closing entry for expenses will be as follows:
Debit Income Summary $60,360
Credit:
Salaries Expense: 32,800
Rent Expense: 16,800
Depreciation expense - office equipment: 3,960
Advertising expense: 4,000
Office supplies expense: 2,800
To close the expenses to the Income Summary account.Data and Calculations:Salaries Expense: 32,800
Rent Expense: 16,800
Depreciation expense - office equipment: 3,960
Advertising expense: 4,000
Office supplies expense: 2,800
Total expenses = $60,360
Thus, the dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.
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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.
Answers
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,
Could someone help me? I am confused and I am in need of some help. Please help me find the answer and graph it. Thank you to all answers!
Answers
Since the x is bigger or same as 5
right side of number line should be shaded
Answer:
The wrong side of the number line is shaded.
[tex]5\leq x[/tex]
Step-by-step explanation:
[tex]5\leq x[/tex] in this equation, x is greater than or equal to 5. That means the number line should be going to the numbers that are greater than 5.
May I ask what type of graph you need?
2000mg = ____ g what is the answer
Answers
In triangle ABC,
m
M
M
M
Answers
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.
NEED HELP ASAP!!! will give brian list!
Answers
Answer:
a. 28/143
b. 40/143
Step-by-step explanation:
For both parts, we assume that the teas are selected without replacement. So we start with 13 teas. After one is selected, we have 12 teas left, and then after one more is selected, we have 11 teas left.
a. If all three are sweet:
[tex] \frac{8}{13} \times \frac{7}{12} \times \frac{6}{11} = \frac{28}{143} [/tex]
b. If exactly one is sweet:
First one sweet, next two unsweet:
[tex] \frac{8}{13} \times \frac{5}{12} \times \frac{4}{11} = \frac{40}{429} [/tex]
First one unsweet, second one sweet,
third one unsweet:
[tex] \ \frac{5}{13} \times \frac{8}{12} \times \frac{4}{11} = \frac{40}{429} [/tex]
First two unsweet, third one sweet:
[tex] \frac{5}{13} \times \frac{4}{12} \times \frac{8}{11} = \frac{40}{429} [/tex]
Adding these probabilities, we have
[tex] \frac{120}{429} = \frac{40}{143} [/tex]
Solve the equation. 5-2x/3 +1 -3x-2/5=-x
Answers
Answer: x = 21/10
............................................................................................................................
write the equation of the line in slope-intercept from that passes through the given points. (3/8, 0)and (5/8, 1/2)
Answers
The equation of line slope-intercept from is obtained as y = 2x - 3/4.
What is defined as the slope-intercept from?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis in which a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx + c, in which m is the slope as well as c is the y-intercept.The slope of the line is calculated by the formula;
m = (y₂ - y₁)(x₂ - x₁)
The coordinates of points are-
Where, (x₁, y₁) = (3/8, 0), and
(x₂, y₂) = (5/8, 1/2)
Put the values in slope;
m = (1/2 - 0)/(5/8 - 3/8)
m = (1/2)/(2/8)
m = 2
Put the the values in the standard form of equation;
(y - y₁) = m(x -x₁)
(y - 0) = 2(x - 3/8)
Simplifying;
y = 2x - 3/4
Thus, the equation of line slope-intercept from is obtained as y = 2x - 3/4.
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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?
Answers
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.
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Answer: 19
Step-by-step explanation:
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
Answers
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}
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HELP ASAPPP PLEASEEEEE
Answers
Answer:
Step-by-step explanation:
x/2 + y/3=1. -. 1)
x/3 + y/2=1. - 2)
To factory plants are making TV panels, yesterday plan a produce 9000 panels. 3% of the panels from plan an and 10%.to factory plants are making TV panels, yesterday plan a produce 9000 panels. 3% of the panels from plan a and 10% of the panels from Plant be were defective how many panels dead plant be produced if overall percentage of the defective panels from two plants what’s 7%?
Answers
The number of panels from plant B that were produced if the overall percentage of the defective panels from two planet were 7% is 9000 panels.
How to Solve Algebra Word Problems?
We are given;
Number of TV panels to be produced = 9000 panels
Percentage of panels from plan A that were defective = 3%
Percentage of panels from plan B that were defective = 10%
Let n represent the number of panels from plant B.
Thus, we can write the algebraic equation as:
0.1(9000) + 0.03(n) = 0.07(9000 + n)
900 + 0.03n = 540 + 0.07n
900 - 540 = 0.07n - 0.03n
0.04n = 360
n = 360/0.04
n = 9000 panels
The number of panels from plant B that were produced if the overall percentage of the defective panels from two planet were 7% is 9000 panels.
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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
Answers
Answer:
its b
Step-by-step explanation:
cause i said so
what is unique about the plants that grow in the Mediterranean brush?
Answers
Step-by-step explanation:
The Mediterranean vegetation is dominated by evergreen shrubs and sclerophyllous trees adapted to the distinctive climatic regime of summer drought and cool moist winters with only sporadic frost.
the curve with equation y=ax^2+bx+c passes through (0,-1) and has a stationary point of (2,-9). find the values of a, b and c
Answers
Answer:
Step-by-step explanation:
[tex]F(x)=ax^{2} +bx+c[/tex]when we derivate the original general equationwe get[tex]F'(x)=2ax+x[/tex]For a stationary point we know that the gradient m which in this point is expressed by F'(x) is equal to 0 in the given x coordinate of the stationary point mathematically ⇒F'(2)=0When we plug in the x coordinate in our derived equation we have[tex]2a(2)+2=0\\4a+2=0\\4a=2\\\frac{4a}{4} =\frac{2}{4} \\a=\frac{1}{2}[/tex]Therefore we can plug in the value of a we have got in the original equation.[tex]F(x)=\frac{1}{2} x^{2} +bx+c\\[/tex]We have two unknowns in the equation with two points in the function we can use to get the unknowns b and cIn the F(0)=-1[tex]-1=\frac{1}{2} (0)^{2} +b(0)+c\\c=0[/tex]But if we are to check carefully we know that c is the y-intercept wherein x=0 and we already had the point so there was no point of calculating it.
To get the value of b now substitute/plug in the other point (2,-9) in the equation[tex]F(x)=\frac{1}{2} x^{2} +bx\\c=0 \\F(2)=-9\\-9=\frac{1}{2}(2)^{2} +b(2)\\ -9=2+2b\\-9-2=2b\\-11=2b\\b=\frac{-11}{2}[/tex]Can anyone help me with #65?
Answers
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.
The total bill at a restaurant was $42.50. If you want to tip the waitress 15%, how much tip should you leave? A. $6.38
B. $6.37
C. $63.75
D. $637.50
Answers
-. A large oil painting is 4 feet longer than its height. There is a wooden frame around the painting
that is 12 inches wide. The area of the picture and frame together is 165 ft². Find the dimensions
of the painting. (Hint: Draw a diagram)
Answers
The height of the painting = x = 9.355 feet
The length of the painting = (x + 4) = (9.355 + 4) = 13.355 feet
Given,
The height of the painting = x feet
The length of the painting = (x + 4) feet
The width of the wooden frame = 12 inches = 1 foot
The area of the picture and frame together = 165 feet²
We have to find the dimensions of the painting:
Area of wooden frame:
2(x + 6) + x = 2x + 12 + x = 3x + 12 feet²
Area of painting:
(x + 4) x = x² + 4x
Area of picture and frame together = Area of wooden frame + Area of painting
165 = 3x + 12 + x² + 4x
165 = 7x + 12 + x²
x² + 7x + 12 -165 = 0
x² + 7x - 153 = 0
By using Quadratic equation find x.
[tex]\frac{-b(+-)\sqrt{b^{2} -4ac} }{2a}[/tex]
= [tex]\frac{-7(+-)\sqrt{7^{2} -4(-153)} }{2}[/tex] = [tex]\frac{-7(+-)\sqrt{49+612} }{2}[/tex] = [tex]\frac{-7(+-)\sqrt{661} }{2}[/tex] = [tex]\frac{-7(+-)25.71}{2}[/tex]
Now,
[tex]\frac{-7+25.71}{2}[/tex] = [tex]\frac{18.71}{2}[/tex] = 9.355
Next,
[tex]\frac{-7-25.71}{2}[/tex] = [tex]\frac{-32.71}{2}[/tex] = -16.355
Dimensions should never be negative value. So, take x as 9.355.
Therefore,
The height of the painting = x = 9.355 feet
The length of the painting = (x + 4) = (9.355 + 4) = 13.355 feet
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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.
Answers
Answer:
6.4031
Step-by-step explanation:
15. m 16. m 17. m 18. m 19. m 20. m
Answers
Answer:
15. 125
16. 160
17. 110
18. 150
19. 35
20. 80
Step-by-step explanation:
This should work, if not, well sorry
Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
Answers
a) The degree of the polynomial function is 4
b) The positive real zeros does the function have are 3
a. The degree of the polynomial is equal to the sum of the real and complex zeros. There are four total zeros in the sum (1 negative real) + 3 positive real/complex). The polynomial has a degree of 4.
The solution to part b and the end-behavior, which tends to - for |x|, both support the even degree.
b. The intermediate value theorem informs you that, given the numbers in the table, there will be zeros in the intervals (0, 1), (1, 2), and (2, 3). Within certain time periods, the function's sign changes. Thus, there are three genuine positive zeros.
By examining the table of function values, Stanley is unable to infer anything about Descartes' rule of signs.
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Complete question -Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
X , f(x)
-2, -105
-1, 0
0, 5
1, -2
2, 3
3, -20
4, -175
a. What is the degree of the polynomial function? How can you tell?
b. How many positive real zeros does the function have? How can you tell?
Is 3/4 ÷ 1/2 the same as 1/2 ÷ 3/4?
Answers
Answer:
I believe it is false
Step-by-step explanation:
can someone help me in 5 and 6?
Answers
Answer:
5. b = 3 m = 2
6. b = 5 m = 1/2
Step-by-step explanation:
Remember that the y-intercept is the y value when x = 0Remember slope formula (attached). You can pick any two points.5. Y-Intercept = 3
Slope = (13-3)/(5-0) = 10/5 = 2
6. Y-intercept 5
Slope = (6-5) / (2-0) = 1/2
How can i solve this 47kg (5m/s^2)
Answers
Answer:
Is this the complete problem?
Step-by-step explanation:
After spending0.6 of her money,Andina had RS 60 left . How much money had she first ?
Answers
Answer:
Step-by-step explanation:
If you use pre-tax dollars, then it lowers your taxable income now and most likely when you retire, your income will be lower, so you'll pay a lower tax rate then.
Answer: D
Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS: 11x-4, ST = 70
What is the value of x?
What is the length of side RS?
Answers
The value of x is 11 and the length of side RS is 117
How to determine the value of x?The given parameters are
BC = 60 and CD = 50
RS = 11x - 4 and ST = 70
Express as a ratio
BC : CD = RS : ST
So, we have
60 : 50 = 11x - 4 : 70
Express as fraction
60/50 = (11x - 4)/70
Cross multiply
50 * (11x - 4) = 70 * 60
Divide both sides by 50
11x - 4 = 84
This gives
11x = 88
Divide
x = 11
Substitute x = 11 in RS = 11x - 4
RS = 11 x 11 - 4
Evaluate
RS = 117
Hence, the value of x is 11 and the length of side RS is 117
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Write the equation of the line in point-slope form that passes through the points
(
−
8
,
2
)
and
(
6
,
8
)
.
Answers
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)
