What is f(-3) if f(x) =|2x-1|-5
Answers
f(x) = |2*(x)-1|-5
f(-3) = |2*(-3)-1|-5 ... replace every x with -3
f(-3) = |-6-1|-5
f(-3) = |-7|-5
f(-3) = 7-5
f(-3) = 2 which is the final answer
Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.
The value of a function is gotten from the input variable
The value of f(-3) is 2.
We have:
[tex]f(x) = |2x - 1| -5[/tex]
Substitute -3 for x
[tex]f(-3) = |2 \times -3 - 1| -5[/tex]
Multiply 2 and -3
[tex]f(-3) = |-6 - 1| -5[/tex]
[tex]f(-3) = |-7| -5[/tex]
Remove absolute bracket
[tex]f(-3) = 7 -5[/tex]
[tex]f(-3) = 2[/tex]
Hence, the value of f(-3) is 2.
See attachment for the graph of [tex]f(x) = |2x - 1| -5[/tex]
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Related Questions
Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below.
Which value is an approximate solution of 2x2 – 2 = –0.5x + 4?
A. x = -2
B. x = -1
C. x = 1
D. x = 5
Answers
The approximate solution for the given system of equations y = 2x2 – 2 and y = –0.5x + 4 is C. x = 1. This is the value of x where the two graphs intersect, thus making both equations true.
Explanation:The question is asking for the solution to the system of equations given by y = 2x2 – 2 and y = –0.5x + 4. Solving a system of equations means finding the value of x that makes both equations true. In other words, we're looking for the point where the two graphs intersect.
To find this value, we can set the two equations equal to each other and solve for x:
2x2 – 2 = -0.5x + 4
This simplifies to 2x2 + 0.5x - 6 = 0. Solving this quadratic equation can give us multiple solutions for x, but since the question is multiple choice, we can check which of the given options is a solution. Plugging the options into the equation reveals that option C. x = 1 is the correct answer, satisfying the equation.
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select the proper order from least to greatest 2/3 , 7/6 , 1/8 , 9/10
Answers
Simplify the function f(x)=1/3(81)^3x/4 . Then determine the key aspects of the function. The initial value is . The simplified base is . The domain is . The range is .
Answers
1.1 Factoring: x3-81
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 81 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
1.2 Find roots (zeroes) of : F(x) = x3-81
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -81.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3 ,9 ,27 ,81
Let us test ....
Polynomial Roots Calculator found no rational roots
2.1 Solve : x3-81 = 0
Add 81 to both sides of the equation :
x3 = 81
When two things are equal, their cube roots are equal. Taking the cube root of the two sides of the equation we get:
x = ∛ 81
Can ∛ 81 be simplified ?
Yes! The prime factorization of 81 is
3•3•3•3
To be able to remove something from under the radical, there have to be 3 instances of it (because we are taking a cube i.e. cube root).
∛ 81 = ∛ 3•3•3•3 =
3 • ∛ 3
The equation has one real solution
This solution is x = 3 • ∛3 = 4.3267
Answer:
The initial value is
✔ 1/3
The simplified base is
✔ 27
The domain is
✔ all real numbers
The range is
✔ y > 0
Step-by-step explanation:
The random variable x is the number of shots it takes before you make the first free throw in basketball. assuming the probability of success (making a free throw) is constant from trial to trial, what type of distribution does x follow?
Answers
What is the median of this set of data: 10, 11, 12, 12, 15, 19, 20, 21, and 22? Express your answer as an integer.
Question 7 options:
12
15
16
19
Answers
Write an inequality for the word sentence: k is less than zero
Answers
The sentence 'k is less than zero' can be translated into the inequality 'k < 0', where 'k' can be any value that is less than zero. The inequality for the word sentence 'k is less than zero' is k < 0.
Explanation:The sentence 'k is less than zero' can be translated into an inequality as 'k < 0'. This is an inequality to represent a situation where 'k', a variable, takes values that are less than zero. It's a way of understanding the relationship of 'k' to zero in mathematical terms. For example, -1, -2, -3, etc. are all numbers that meet this less than zero inequality because they are less than zero.
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The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7 2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?
Answers
Grade Teachers Students
6 1 25
7 2 50
8 3 75
Grade 6 to 8 all maintained the same proportional relationship because for every one teacher, there's 25 students
Answer:
Teachers 4 and Students 100, Teachers 5 and Students 125
Step-by-step explanation:
Going by the chart, by each teacher, the students are increasing by 25. The only ones to follow this pattern is 4:100 and 5:25
8 1/2% of 4000
I hope u understood that.
Answers
8 1/2% x 4000 = 340
Hope this helps :))
~Top
(8 1/2)% of 4000 = 340
A pack of cinnamon-scented pencils sells for $9.00. What is the sales tax rate if the total cost of the pencils is $9.45?
Answers
if we divide 45 by 9 we get 5
the answer is 5%
A house costs $600 more than 12 times the lot on which it was built. If the lot cost x dollars, what did the house cost?
Which expression represents this?
$600 + 12x
$600x + 12
$720x
Answers
The expression that represents the situation is:
$ 600+12x
Step-by-step explanation:cost of lot is: $ x
This means that 12 times the lot on which it was built is: $ 12x
Also, it is given that:
A house costs $600 more than 12 times the lot on which it was built.
This means that the total cost of the house is:
600 plus the total cost of the lot on which it was built.
i.e. The expression that represents the total cost of the house is:
$ 600+12x
Insert commas in the following numbers. a. 13886 b. 365 c. 719463 d. 40047209 e. 2145739180 f. 1783457
Answers
A. 13,886
B. 365 (no comma because this number has only 3 digits)
C. 719,463
D. 40,047,209
E. 2,145,739,180
F. 1,783,457
P.S. You start placing commas from the final number and then move onto the first one.
a.) 13886. If you count three numbers from the back, you will stop at 8. So that will be; 13,886. The rest follow the same pattern.
b.)365
It does not have a comma because the third number is the last number.
c.)719,463
d.)40,047,209
e.)2,145,739,180
f.)1,783,457
Hope that helped. Have a nice day
Find two numbers if their difference is 16 and their ratio is 5:7.
Answers
To determine two numbers where their difference is 16, and their ratio is 5:7, we let the smaller number be 5x and the larger one be 7x, solve for x with the equation 7x - 5x = 16, and find that the numbers are 40 and 56.
Explanation:To find two numbers with a difference of 16 and a ratio of 5:7, first let's denote the smaller number as 5x and the larger number as 7x. The difference between the two numbers is 16, so we can write the equation 7x - 5x = 16.
Solving for x gives us 2x = 16 or x = 8. Thus, the two numbers we are looking for are 5x = 5 × 8 = 40 and 7x = 7 × 8 = 56.
Check: The difference between 56 and 40 is indeed 16, and the ratio of 40 to 56 simplifies to 5:7, confirming our solution.
What does the standard error of the estimate tell us?
Answers
which action illustrates rational behavior
Answers
Candy bags is sold in 4 pound bags.How many full bags will Gina need to purchase?
Answers
Hope this helps plz mark as brainlist and 5 star
a smoothie recipe calls for 2 1/4 cups of frozen mango. if the recipe serves two, how many cups of frozen mango is needed to serve one?
Answers
Answer: The required number of cups of frozen mango is 1.125.
Step-by-step explanation: Given that a smoothie recipe calls for [tex]2\dfrac{1}{4}[/tex] cups of frozen mango and the recipe serves two.
We are to find the number of cups of frozen mango that is needed to serve one.
We will be using the UNITARY method to solve the problem.
We have
The number of cups of frozen mango that needs to serve two is
[tex]2\dfrac{1}{4}=\dfrac{9}{4}=2.25.[/tex]
Therefore, the number of frozen mango that needs to serve one is given by
[tex]\dfrac{2.25}{2}=1.125.[/tex]
Thus, the required number of cups of frozen mango is 1.125.
What is the value of the expression 4x+y2y−x when x = 2 and y = 4?
Answers
4x+y/2y-x
Start by replacing all of the variables.
4(2)+4/2(4)-2
Now work multiply.
8+4/8-2
Now add.
12/6
That is your fraction. But you must simplify it.
Its simplifies to 2.
=(8+4)/(8-2)
12/6
=2
In the formula l=prt, what does the p stand for
Answers
Los angles is about 385 miles from san francisco. how far apart should the city's be on a map with a scale of 1in=1515mil
Answers
X inches= 385 miles
so 1515 is 3.935 times bigger than 385 miles.
meaning that 1 inch is also 3.935 times bigger than X inches.
to find X we just divide 1 by 3.935
which is: 0.254 inches
12 packs of juice cost $3.00 after a 40% discount. Which equation would allow you to find the original price of a 12-pack
Answers
Dan opened up his piggy bank and found a total of thirty-five coins, made up of nickels, dimes, and quarters. if he has five more nickels than dimes and a total of $6, how many of each coin were in his bank?
Answers
0.05n + 0.10d + 0.25q = 6
n = d + 5
n + d + q = 35
0.05n + 0.10d + 0.25q = 6.....multiply by -4
----------------
n + d + q = 35
-0.20n - 0.40d - q = - 24 (result of multiplying by -4)
----------------add
0.80n + 0.60d = 11
0.80(d + 5) + 0.60d = 11
0.80d + 4 + 0.60d = 11
1.40d = 11 - 4
1.40d = 7
d = 7 / 1.40
d = 5 <==== there are 5 dimes
n = d + 5
n = 5 + 5
n = 10 <==== there are 10 nickels
n + d + q = 35
10 + 5 + q = 35
15 + q = 35
q = 35 - 15
q = 20 <=== there are 20 quarters
In his piggy bank, Dan has 10 nickels, 20 dimes and 5 quarters.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Assume that he had [x] nickels, [y] dimes and [z] quarters. Then we can write -
x = y + 5
x + y + z = 35
x/20 + y/10 + z/4 = 6
Now, the equation → x/20 + y/10 + z/4 = 6, can be written as → (x + 2y + 5z) = 120
We can write, the equations as -
x = y + 5
x + y + z = 35
x + 2y + 5z = 120
Solving the simultaneous equations, we get -
y + 5 + y + z = 35
2y + z = 30 Eq [1]
y + 5 + 2y + 5z = 120
3y + 5z = 115 Eq [2]
Plot Eq[1] and Eq[2] on graph. The point of intersection of both will give the values of y and z.
z = 20
y = 5
We can then find [x] as -
x = y + 5 = 10
x = 10
Therefore, in his piggy bank, Dan has 10 nickels, 20 dimes and 5 quarters.
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What is the solution to the proportion? Round the answer to the nearest tenth if necessary.
52/x = 9.5/3.25
A: x=14.6
B: x=17.8
C: x=157.8
D:x=169
Answers
9.5x = (52)(3.25)
9.5x = 169
x = 17.8
answer
B: x=17.8
Yeah it's B:17.8 I agree with you
Which number is the largest? 23.01247 23.01244 23.01274 23.01277?
Answers
The dimensions of a rectangular prism are 1 mm, 6 mm, and 11 mm. Find the volume and the surface area.
THX :)
Answers
The volume and the surface area of the rectangular prism will be 66mm and 166mm² respectively.
Length = 11m
Width = 1mm
Height = 6mm
The volume of the rectangular prism will be:
= Length × Width × Height
= 11mm × 1mm × 6mm
= 66mm
The surface area of the rectangular prism will be:
= 2(wl + hl + hw)
= 2(11 + 66 + 6)
= 2(83)
= 166
Therefore, the surface area of the rectangular prism will be 166mm²
In conclusion, the volume and the surface area of the rectangular prism will be 66mm and 166mm² respectively.
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The number pi goes on forevermore with no repeating pattern therefore is it rational
Answers
In fact is one of the most famous irrational numbers used to calculate all sorts of crazy math stuff related to circles.
The reason it is irrational is because you cannot use a simple fraction to represent pi.
0.88repeating can be represented as a fraction: 88/99, however π cannot be represented by an a/b fraction.
Absolute Value equations and equalities, please help
|x| + 5 = 18
a. 5 or -5
B. 13 or -13
C. 18 or -18
D. 23 or -23
|y +4| < 1
a. -5 < y< -3
b. -3
c. -4
d.1
Answers
The second is A because it examines all possible solutions
Hope this helps!
You are carving a block of ice for a banquet. It measures 1 ½ feet long, 1 ½ feet wide and 1 ½ feet thick. Ice weighs 57 pounds per cubic foot. What is the weight of the ice block?
Answers
volume = l x w x h
1.5 x 1.5 x 1.5 = 3.375 cubic feet
3.375 * 57 = 192.375 pounds
How to find mean and standard deviation for binomial distribution?
Answers
To calculate mean and standard deviation for a binomial distribution, use the formulas μ = np and σ = √npq. Ensure both np and nq are greater than five to use the normal approximation.
Explanation:To find the mean (μ) and standard deviation (σ) for a binomial distribution, you use the formulas μ = np and σ = √npq respectively. Here, 'n' represents the number of trials, 'p' is the probability of success on a single trial, and 'q' is the probability of failure on a single trial, which is calculated as q=1-p.
If you want to determine whether you can use the normal approximation to the binomial, it is essential to ensure that both np and nq are greater than five. This is because the normal approximation is most accurate when the binomial distribution is symmetrical, which typically occurs when both np and nq exceed five.
Negative four times a number plus nine is no more than the number minus twenty one
Answers
-4x-x +9 =< x-x-21
-5x +9 =< -21
-5x +9-9 =< -21-9
-5x =< -30
-5x/-5 =< -30/-5 (DANGER divide by neg affects direction of inequality)
x =< 6
CHECK sign
-4x+9 =< x-21
-4*6+9 =< 6-21
-24+9 =<-15
-15 =<-15
-4*7+9 =< 7-21
-28+9 =< 7-21
-19 =< -14 false
-4*5+9 =< 5-21
-20+9 =< -16
-11 =< -16 true
so
x =< 6 is correct.
I use =< since eq would NO MORE THAN.
Angles opposite to one another at the intersection of two lines are called _ _ _ _ _ _ _ _ _ _ _ _ _ _ angles.
Answers
Answer:
Step-by-step explanation: vertical angel