What is the value of f(–1)?
Answers
Answer:
The answer is: 1
Step-by-step explanation: f(1) = -1, so f(-1) must be 1.
The value of the function by using a given table would be, f (- 1) = 0
Hence, option 3 is true.
Given that,
The function to find the value, f (- 1)
Used the concept of function which stated that, A relation between a set of inputs having one output each is called a function.
Now from the given table,
At x = - 5;
f (- 5) = 4
Similarly,
At x = - 1;
f (- 1) = 0
Therefore, the value of function f (- 1) would be 0.
So, Option 3 is true.
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The complete question is shown in the attached image.
Related Questions
Which situation is best represented by the following equation? 40w + 12.50 = 492.50
Answers
Answer:
Step-by-step explanation:
She paid $40 each week, hence the "w" next to 40. She then paid $12.50 so both $40w and $12.50 would equal to $492.50. So she paid $492.50 in all for the class.
Now the w would equal, 12. Multiply 40 x 12 and it'd equal 480.
Then you add the additional $12.50 she paid for the registration & it'd equal to $492.50.
Hope That Helps!
To solve for w in the equation 40w + 12.50 = 492.50, subtract 12.50 from both sides of the equation and then divide both sides by 40.
Explanation:To solve for w, we need to isolate it on one side of the equation. We can do this by subtracting 12.50 from both sides of the equation:
40w + 12.50 - 12.50 = 492.50 - 12.50
This simplifies to:
40w = 480
Next, divide both sides of the equation by 40:
w = 480 / 40
w = 12
Therefore, the equation represents a situation where w is equal to 12.
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use the distributive property to find the missing numbers 4 x (3 + 7) = (4 x ?) + (4 x ?)
Answers
Answer:
4 x (3+7) = (4 x 5) + (4 x 5) => 40= 20+20
Step-by-step explanation:
12+28=>40=(4 x 5) + (4 x 5)
Ginger you has a principal of $900 in her savings account. It earns 6% interest compounded quarterly. What is the amount in the account at the end of the third quarter?
A: $935.67
B: $941.11
C: $945.22
D: $987.33
Answers
Answer:
B.$941.11
Hope this helped
Step-by-step explanation:
11.REINFORCE The lengths of three sides of a triangle are 2x, 3x - 4, and x+4. Find a value of x that makes the triangle equilateral.
Answers
Answer:
x=4
Step-by-step explanation:
It suffices to equate any two sides and then check whether the solution is valid for the third side.
Taking 2x and 3x-4 and equating:
2x = 3x-4
x = 4
This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:
x+4=4+4=8
which indeed works out confirming x=4 being a valid solution
Final answer:
To determine a value for x that results in an equilateral triangle with side lengths 2x, 3x - 4, and x + 4, we equate the three expressions and solve for x, finding that x = 4 satisfies the condition of equal side lengths.
Explanation:
To find a value of x that makes the triangle equilateral, we set all three sides equal to each other because an equilateral triangle has all sides of the same length. Given the side lengths as 2x, 3x - 4, and x + 4, we can set up two equations:
2x = 3x - 4
2x = x + 4
Solving the first equation for x gives us:
2x = 3x - 4
x = 4
Solving the second equation for x gives us:
2x = x + 4
x = 4
Both equations yield x = 4 as the solution. Therefore, if x is 4, the lengths of the sides of the triangle will be 8, 8, and 8 respectively, which satisfies the conditions of an equilateral triangle.
For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year. The third year, he invested $1,000 more than 1/5 of the amount he invested the first year.
During the same three years, Sally also invested some money at the start of every year. The first year, she invested $1,000 less than 3/2 times the amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year.
If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ ???, and the amount Sally invested the last year is $ ???
Answers
Answer:
The first year Sam invested $2,000. The third year sally invested $1,900.
Step-by-step explanation:
Let $x be the amount of money Sam invested the first year. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year, then the second year he invested
[tex]\$\left(\dfrac{5}{2}x-2,000\right).[/tex]
The third year, he invested $1,000 more than 1/5 of the amount he invested the first year, then the third year he invested
[tex]\$\left(\dfrac{1}{5}x+1,000\right).[/tex]
During three years Sam invested
[tex]\$\left(x+\dfrac{5}{2}x-2,000+\dfrac{1}{5}x+1,000\right)=\$\left(\dfrac{37}{10}x-1,000\right).[/tex]
The first year, Sally invested $1,000 less than 3/2 times the amount Sam invested the first year, then the first year she invested
[tex]\$\left(\dfrac{3}{2}x-1,000\right).[/tex]
The second year, she invested $1,500 less than 2 times the amount Sam invested the first year, then the second year she invested
[tex]\$(2x-1,500).[/tex]
The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year, then the third year she invested
[tex]\$\left(\dfrac{1}{4}x+1,400\right).[/tex]
During three years Sally invested
[tex]\$\left(\dfrac{3}{2}x-1,000+2x-1,500+\dfrac{1}{4}x+1,400\right)=\$\left(\dfrac{15}{4}x-1,100\right).[/tex]
If Sam and Sally invested the same total amount at the end of three years, then
[tex]\dfrac{37}{10}x-1,000=\dfrac{15}{4}x-1,100,\\ \\\dfrac{37}{10}x-\dfrac{15}{4}x=1,000-1,100,\\ \\-\dfrac{1}{20}x=-100,\\ \\x=\$2,000.[/tex]
Thus,
[tex]\$\left(\dfrac{1}{4}\cdot 2,000+1,400\right)=\$1,900.[/tex]
What are the slope and y-intercept of the graph of y=−13x+1 ? A. slope: −13; y-intercept: 1 B. slope: 13; y-intercept: −1 C. slope: 1; y-intercept: −13 D. slope: 13; y-intercept: 1
Answers
Answer:
The correct answer is A) slope: -13 Intercept: 1
Step-by-step explanation:
When you have something in slope-intercept form, the slope is always the coefficient of x, which in this case is -13.
The intercept is always the constant at the end of the equation, which in this case is 1.
Answer:
a)
Step-by-step explanation:
write this as a algebraic expression (the quotient of 4 and a number)
Answers
Answer:
4/n
Step-by-step explanation:
An algebraic expression is in terms of variables and constants.
quotient means division
the quotient of 4 and a number
4/n
Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans 129 shirts and 84 jeans 150 shirts and 75 jeans 160 shirts and 71 jeans
Answers
Answer:
150 shirts and 75 jeans
Step-by-step explanation:
s = shirts
j = jeans
12s+28j = 3900
The profit on the shirts is 70 percent so we multiply 12 by .7
12*.7 = 8.4
The profit on the jeans is 125 percent so we multiply 28 by 1.25
The profit was 3885
28*1.25 = 35
8.4s+ 35j=3885
We now have 2 equations and 2 unknowns
12s+28j = 3900
8.4*s+ 35j=3885
I am going to solve by elimination
Multiply the first equation by -.7
-.7 (12s+28j )= -.7*3900
-8.4s -19.6j=-2730
Add this to the second equation
-8.4s -19.6=-2730
8.4s+ 35j=3885
------------------------
15.4j = 1155
Divide each side by 15.4
15.4j/15.4= 1155/15.4
j = 75
Now we need to find the shirts.
We will substitute j=75
12s+28(75) = 3900
12s +2100 = 3900
Subtract 2100 from each side
12s = 3900-2100
12s = 1800
Divide by 12
12s/12 = 1800/12
s =150
What are the quotient and remainder of (3x^4-2x^3+7x-4)/(x-3)
Answers
Answer: Remainder: 206
Quotient: 3x³+7x²+21x+70 + [tex]\frac{206}{x-6}[/tex]
Step-by-step explanation: You can either use long division or synthetic division. I will use synthetic division: 3 | 3 -2 0 7 -4... the remainder is 206 and the quotient is 3x³+7x²+21x+70 + 206/x-6
The remainder is 206 and the quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) /(x - 3)
What is quotient in a division?A result obtained by dividing one quantity by another is called a quotient.
What is remainder in a division?Remainder is the value left after the division.
How to find the quotient and remainder of the division?We know that, if (x - h) divides a function f(x) then f(h) is the remainder.∴ Here the remainder will be putting x = 3 in the dividend.
So, remainder = [tex]3(3)^{4} - 2(3)^{3} + 7(3) - 4[/tex] = 206
We can get the quotient by the quotient remainder rule which saysin a division, dividend is equal to divisor multiplied by quotient plus remainder.
Let the quotient be Q(x)
Here, we can write,
[tex]3x^{4} - 2x^{3} + 7x -4[/tex] = (x - 3)Q(x) + 206
⇒ Q(x) = ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)
So, the required quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)
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In simplest form
2/5 x 3/7
Answers
A. 14/15
B.5/12
C. 6/35
D. 1/5
9/10x5/7
Answers
A. 1 13/50
B. 9/14
C. 14/17
D.4/7
Jennys lawn is 1/3 of an acre. After mowing 1/2 of the lawn, how much of an acre has she mowed?
Answers
A. 1/5
B. 1/6
C. 1/2
D. 2/5
A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water has leaked out of the bucket?
Answers
A. 1/4
B.2/3
C. 3/8
D. 3/16
Mike plans to run 7/8 mile. He begins running, but 2/3 of the way he pulls a hamstring muscle. What fraction of a mile did he run?
Answers
A. 7/12
B. 14/25
C. 10/11
D. 7/11
Answers
Answer:
1. C
2. B
3. B
4. C
5. A
Step-by-step explanation:
1. 2/5 times 3/7 equals 6/35 and cannot be simplified
2. 9/10 times 5/7 equals 45/70 or 9/14
3. 1/3 times 1/2 equals 1/6
4. 3/4 times 1/2 equals 3/8
5. 2/3 of 7/8 equals 7/12
2) B
3) B
4) A
5) A
there are 18 oranges in box A and 36 in box B. What is the ratio of the oranges in Box A to Box B?
Answers
Answer:
hello there the answer is 36:18
Step-by-step explanation:
because it dosent matter which number is bigger it matters about the oder they ask to put it in and in this case a to b =36to18
Hey there!
[tex]\boxed{BoxA: 18}[/tex]
[tex]\boxed{BoxB:36}[/tex]
You could have your [tex]ratio[/tex] to look like this: [tex]18:36[/tex] (most likely going to be your answer if you are looking for the ratio of the number)
BUT if you're trying to solve your [tex]ratio[/tex] then....Both terms go into [tex]18[/tex], [tex]9[/tex], and [tex]2[/tex]
[tex]\frac{18}{2}[/tex] [tex]= 9[/tex]
[tex]\frac{36}{2} = 18[/tex]
[tex]\boxed{9:18}[/tex]
[tex]\frac{18}{9} = 2[/tex]
[tex]\frac{36}{9} = 4[/tex]
[tex]\boxed{2:4}[/tex]
[tex]\frac{18}{18} = 1[/tex]
[tex]\frac{36}{18} = 2[/tex]
[tex]\boxed{1:2}[/tex]
Answer: [tex]\boxed{36:18}[/tex] or [tex]\boxed{18:36}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
The sum of the digits of the number 2016 is 9.What is the least number greater than 2016 whose sum of the digits is 9
Answers
Answer:
2025 if Im not wrong...
Step-by-step explanation:
Would a horizontal line, a straight slanted line, a curve, or a jagged curve best represent the calories you burn during the day?
Answers
Answer:
A jagged curve
Step-by-step explanation:
Your always going to burn calories but the rate will always change and how many based on what you do will always change so it is never a constant slope.
Answer:
a jagged curve
Step-by-step explanation:
The number of calories you burn varies throughout the day, increasing and decreasing. A jagged curve represents increases and decreases over time.
Jason spent $20.00 for school lunches.if each lunch cost 2.50,how much lunches did he buy
Answers
Answer: 8
Step-by-step explanation:
(In terms of pi )what's the surface area of a cylinder with a 14cm diameter and a heigth of 18cm.
ive done the math and got 1099 or something but that isnt one of the options on my assignment.
Answers
Answer:
= 1099 cm^2
Step-by-step explanation:
The surface area of a cylinder is found by using the formula
SA=2πrh+2πr^2
We know the diameter. To find the radius, we take the diameter and divide by 2.
r =d/2
r =14 cm/2 = 7 cm
h = 18 cm
Substituting what we know
SA = 2 * pi * 18 * 7 + 2 * pi * (7)^2
= 252 *pi + 2* pi *49
= 252 pi + 98 pi
= 350 * pi
Let pi be approximated by 3.14
SA = 350 * 3.14
= 1099 cm^2
solve the system by the elimination method
Answers
Answer:
x=2, y=2
(2,2)
Step-by-step explanation:
To solve by elimination, we need to have on variable an its coefficient be the opposite of the other
I will multiply the second equation by 2 to make 2x become 4x to eliminate the x variable
2(2x+4y) = 12*2
4x+8y = 24
Now add the first equation with the modified second equation
-4x - 2y = -12
4x +8y =24
-------------------
6y = 12
Divide each side by 6
6y/6 = 12/6
y =2
Now we need to find x
2x+4y = 12
Substitute in y=2
2*x + 4*2 = 12
2x+8 = 12
Subtract 8 from each side
2x +8-8 = 12-8
2x=4
Divide each side by 2
2x/2 =4/2
x=2
In an experiment, a student randomly chooses an answer to two multiple-choice questions. The first question has 4 answers to choose from, and the second question has 5 answers to choose from. How many outcomes are in the sample space? Enter your answer in the box.
Answers
Answer:
20
Step-by-step explanation:
Since you have 2 different questions to gather outcomes from, you multiply the amount of choices each has. Obviously, 4 * 5 = 20 so the answer is 20.
Using it's concept, it is found that there are 20 outcomes in the sample space.
The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the first question, there are 4 possible outcomes.For the second question, there are 5 possible outcomes.The outcomes in the first question are independent of the outcomes in the second question, hence there are 4 x 5 = 20 outcomes in the sample space.
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Please answer quickly
Consider the function f(x)=−2/3x+5 .
What is f(−1/2) ?
Enter your answer as a simplified fraction.
Answers
Answer:
[tex]\frac{16}{3}[/tex]
Step-by-step explanation:
To evaluate substitute x = - [tex]\frac{1}{2}[/tex] into f(x)
f( - [tex]\frac{1}{2}[/tex])
= - [tex]\frac{2}{3}[/tex] × - [tex]\frac{1}{2}[/tex] + 5
= [tex]\frac{1}{3}[/tex] + 5
= [tex]\frac{1}{3}[/tex] + [tex]\frac{15}{3}[/tex] = [tex]\frac{16}{3}[/tex]
Drag each expression to show whether it is equivalent to 8(t+8),8t +8, or neither
Answers
Answer:
Box-1:
Neither
Box-2:
[tex]8(t+8)[/tex]
Box-3:
[tex]8(t+8)[/tex]
Box-4:
[tex]8t+8[/tex]
Box-5:
Neither
Box-6:
[tex]8t+8[/tex]
Step-by-step explanation:
We can verify each box
Box-1:
[tex](8+t)+(8+8)[/tex]
we can simplify it by combining like terms
[tex]=8+t+8+8[/tex]
[tex]=8+t+16[/tex]
[tex]=t+24[/tex]
none of them matches
so, Neither
Box-2:
[tex]8t+64[/tex]
we can write as
[tex]8\times t+8\times 8[/tex]
now, we can factor out 8
[tex]8(t+8)[/tex]
Box-3:
[tex]8\cdot t+8\cdot 8[/tex]
we can factor out 8
[tex]8(t+8)[/tex]
Box-4:
[tex]4t+8+4t[/tex]
we can combine like terms
[tex]4t+4t+8[/tex]
[tex]8t+8[/tex]
Box-5:
[tex]8t+16[/tex]
we can factor common term
[tex]8\times t+8\times 2[/tex]
now, we can factor out 8
[tex]8(t+2)[/tex]
so, we can see that none are matching
so, Neither
Box-6:
[tex]4(2t+2)[/tex]
we can distribute 4
[tex]4\times 2t+4\times 2[/tex]
we can simplify it
[tex]8t+8[/tex]
simple answer
8(t+8):
(8 • t) + (8 • 8)
8t + 64.
8t + 8:
4t + 8 + 4t
4(2t + 2)
Neither:
(8 + t) + (8 + 8)
8t + 16
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a corn vendor at a farmers market was selling a bag of 8 eara of corn for $2.56. Another vendor was selling a bag of 12 for 4.32. Wuch bag is the better deal?
Answers
Answer: The first vendor AKA the 8 ears for $2.56
Step-by-step explanation:
You have to take the 8 and figure out how much you are being charged for each 2.56 divided by 8 is .32, so each ear is .32 cents per ear, and the second vendor is 4.32 divided by 12 which is .36, so each ear is .36 cents. so technically the first vendor has cheaper corn.
I need help with this PLEASE SHOW WORK
Answers
Answer:
RM ≈ 6.08 ( to 2 dec. places )
Step-by-step explanation:
to calculate the distance use the distance formula
• d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = R(- 2, 3) and (x₂, y₂ ) = M(4, 2)
d = [tex]\sqrt{(4+2)^2+(2-3)^2}[/tex] = [tex]\sqrt{36+1}[/tex] = [tex]\sqrt{37}[/tex] ≈ 6.08
y=3x, is this in standard form? And if not can i get an explanation on why not?
Answers
Answer: i would say no
Step-by-step explanation:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
Ax+By=C
Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
3x=y
Move y
to the left side of the equation because it contains a variable.
3x−y=0
Answer:
no but see explanation
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange y = 3x into this form
subtract y from both sides
0 = 3x - y, hence
3x - y = 0 ← in standard form
Write an equation that represents the line.
Use exact numbers.
Answers
The equation of the given line is
[tex]4y - 3x + 18 = 0[/tex]
EXPLANATION
The line passes through the points
[tex](2,-3) \: and \: ( - 2,-6)[/tex]
We can use these two points to determine the slope as follows:
[tex]slope = \frac{ - 6 - - 3}{ - 2 - 2} [/tex]
[tex]slope = \frac{ - 6 + 3}{ - 2 - 2} [/tex]
[tex]slope = \frac{ -3}{ - 4} = \frac{3}{4} [/tex]
We now apply the point slope formula
[tex]y-y_1=m(x-x_1)[/tex]
to obtain,
[tex]y + 3 = \frac{3}{4} (x - 2)[/tex]
We multiply through by 4 to get,
[tex]4y + 12 = 3(x - 2)[/tex]
This gives us,
[tex]4y + 12 = 3x - 6[/tex]
We simplify further to get,
[tex]4y - 3x + 18 = 0[/tex]
The calculated equation of the line is y = 3/4x - 4.5
How to determine the equation of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
m = slope
Using the above as a guide, we have the following:
m = (-6 + 3)/(-2 - 2)
m = 3/4
So, we have
y = 3/4x + c
Using the points, we have
3/4 * 6 + c = 0
Evaluate
c = -4.5
So, we have
y = 3/4x - 4.5
Hence, the equation is y = 3/4x - 4.5
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what is 20 multiplied by 3 1/5
Answers
Answer:
64
Step-by-step explanation:
20 x 3.2=64
16/5=3.2
replacing the 3 1/5 with 3.2 making it easier to do the math
Answer:
The answer is 64
Step-by-step explanation:
What to do is this.
Turn 3 1/5 into a improper fraction and it will look like this 16/5
Now do 20/1 times 16/5 and you will get 64
What is the value of f(3) when f(x) =4x+1
Answers
[tex]f(x) = 4x + 1 \\ f(3) = 4(3) + 1 \\ = 12 + 1 \\ = 13[/tex]
Answer: 13
Step-by-step explanation:
f(x) = 4x + 1
f(3) = 4(3) + 1
= 12 + 1
= 13
for his phone service John pays a monthly fee of $13 and he pays an additional $0.06 per minute of use the least he has been charged in a month is $73.96
what are the possible numbers of minutes he has used his phone in a month. Use M for the number of minutes and solve your inequality for M
Answers
Answer:
m ≥ 1016
Step-by-step explanation:
13+0.06M≥73.96
0.06M ≥ 60.96
m ≥ 1016
Simplify the expression below: − 4 − 5 y + 12 + 15 ( 7 + y )
Answers
We must first open the parenthesis. We get 15*7+15y, or 105+15y. We can now add 12 to 105 which would be 117. Now we have -4-5y+117+15y. With this we can move the -4 to 117 which is 113 and the -5y to 15y which is 10y. So we got 113+10y as our answer.
Hope this helps. <3
You and three of your friends go out to dinner during the break.the check comes to 131.85$ you all decide to leave a 20% tip for the friendly server calculate the amount of tip
Answers
Answer:
$105.48
Step-by-step explanation:
Multiply 131.85 by 0.2 to get 20% of 131.85.
You will get 26.37.
Since it is 4 people, multiply by 4.
You will get $105.48.
Answer: $105.48
Step-by-step explanation: If the check is $131.85, all you have to do is multiply that by .2 and you get $26.37, but since there are four friends you would have to multiply that by 4 to get the result $105.48.
The doctor orders2cc of 2% lidocaine to be use as a loca anesthetic how many milliliter s will you draw
Answers
one may note that 1 CC, Cubic Centimeter, or 1 cm³, is actually equivalent to 1 mL, milliliter.
so 2 cc = 2 mL.
Answer:
2 mL
Step-by-step explanation:
Here cm³ and mL are units of volume i.e., the three dimensional space enclosed by plane surfaces. m³ is the SI unit of volume. Liter (L) is also an accepted unit where
1 L = 0.001 m³
So 1 ml = 0.001 × 10⁻³ m³
1 mL³ = 10⁻⁶ m³ (1)
1 m³ = 10⁶ cm³
1 cm³ = 10⁻⁶ m³ (2)
From equation 1 and 2
1 mL = 1 cm³
1 mL = 1 cc
2 cc = 2 Cubic centimeter = 2 cm³
1 cc = 1 mL
So,
2 cc = 2 mL
factor the expression using GCF 16p - 8
Answers
Answer:
8(2p-1)
Step-by-step explanation:
To factor the expression, we need to factor the terms
16p = 8*2*p
8 = 8*1
We can factor out an 8, leaving what remains inside the parentheses
16p-8
8(2p-1)