Answer:
a) f(0) = -9
b) f(2) = -5
c) f(-3) = -15
d) f(1/2)=-8
Step-by-step explanation:
We are given the function [tex]f(x)=2x-9[/tex] and we need to find the following:
a) f(0)
For finding f(0) put x =0 in the given function
[tex]f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9[/tex]
So, we get f(0)=-9
b) f(2)
For finding f(2) put x =2 in the given function
[tex]f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5[/tex]
So, we get f(2)=-5
c) f(-3)
For finding f(-3) put x =-3 in the given function
[tex]f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15[/tex]
So, we get f(-3)=-15
d) f(1/2)
For finding f(1/2) put x =1/2 in the given function
[tex]f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8[/tex]
So, we get f(1/2)=-8
Debra tutors history. For each hour that she tutors, she earns 50 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H . Then use this equation to find Debra's earnings after tutoring for 19 hours.
What is the order of operations needed to evaluate the expression 4(5)−8÷2?
Using PEMDAS we would do the multiplication and division first and then the subtraction. So 4*5 = 20 and 8/2 is 4 so therefore 20-4 is 16.
Answer:
PEMDAS (Multiply and divide, then add and subtract)
Step-by-step explanation:
Multiply 4 and 5 to get 20-8/2
Divide 8 by 2 to get 20-4
subtract to get 16
Can somebody help me with my math I’ll give u brainlest
Answer:
yess!!
Step-by-step explanation:
''-''
Answer:
where are questions
Step-by-step explanation:
math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed
Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
Rita earns 44dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Kala earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Rita earns if she sells 35books.
Equation:
Amount Rita earns if she sells 35books: dollars
How many 1/ 3 pound hamburger patties can be made from 4 pounds of ground beef?
Answer:4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Each pound is equal to 3 of the 1/3 pound patties
multiply 3 by 4 and you get 12.
2(5x+7)=16
what the answer?
Answer:
x = 1/5
Step-by-step explanation:
2(5x + 7) = 16
2 * 5x + 2 * 7 = 16
10x + 14 = 16
10x = 16 - 14
10x = 2
x = 2/10
x = 1/5
The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?
Constant Of Proportionality = ________
Answer:
Step-by-step explanation:
y=kx
(5,1)
1=k*5
1/5=k*5/5
1/5=k
The constant of proportionality between y and x in this graph is
1/5
Find the difference write the answer in simplest form 11/18 -1/6
Answer:
4/9
or
0.4
Step-by-step explanation:
This table shows a proportional relationship. х y Complete the equation that represents the table. - 4 - 6 Enter your answer as a decimal in the box. -2 3 0 0 y = Х 8. 12
Answer:
y = 1.5x
Step-by-step explanation:
An equation that represents a proportional relationship can be written as y = kx.
Where,
k = constant of proportionality or unit rate = y/x
Using a pair form the table of values, say (-2, -3),
k = y/x = -3/-2 = ³/2 = 1.5
Substitute k = 1.5 into y = mx
The equation that represents the table would be:
y = 1.5x
The proportionality constant is 2/3 and the required equation is y = 2/3x
Tables and valuesThe standard equation of a line is expressed as y = mx + b
where:
m is the slope of the line
b is the intercept
From the given question, we are to find the rate of change (slope) from the give table.
USing the coordinate points from the table (-2, 0) and (-3, 0)
Also recall that;
y = kx
-2 = k(-3)
k = 2/3
Hence the proportionality constant is 2/3 and the required equation is y = 2/3x
Learn more on rate of change here: https://brainly.com/question/8728504
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a
prime number less than 10 as the second digit. (Note that 1 is not a prime number.)
The probability that the winning ticket has the vowel contained in the word event and the digit is the number of
letters in the word event is 1/20 .
Reset
Next
Answer:
yes 1/20 is correct
Step-by-step explanation:
The probability that the winning ticket will have the letter e on it would be P=5%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
For the probability of two independent events:
P(A and B) = P(A) P(B)
so we have to find the probability for each event to happen.
For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a prime number less than 10 as the second digit.
(Note that 1 is not a prime number.)
There are 5 vowels in the alphabet (a, e, i, o, and u).
Therefore the probability for the first letter to be e
P(A) = 1/5
We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7)
so the probability for the number to be a 5 is:
P(B) = 1/4
Now, the probability of getting a ticket that starts with an e and ends with a 5
P(A and B) = P(A) P(B)
= 1/4 x 1/5
= 1/20
Therefore, the probability is 5%.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ5
Question 16 please help me
What is (x-2)-(x-5)? Plz I will mark u brainliest.
Answer: 3
This is the simplified way
IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL
How can a number line help in ordering rational numbers:
How are number lines and the coordinate plane related:
Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?
A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.
A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.
Answer:
1: It places them in an order sequentially relative to each other.
2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.
3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.
4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.
5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.
Step-by-step explanation:
LESSON 7 DEVELOP
MODEL IT: PLACE-VALUE CHARTS
Use place-value charts to show multiplying and dividing by powers of 10.
3 Complete each row with the product shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
.
0
0
0
5
.
0.005 X 10'
0.005 X 102
0.005 X 10
4 Complete each row with the quotient shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
DIS
5
0
.
0
0
5 + 10
How
digits
the do
when
5 - 102
any d
5 - 10
I thin
PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it
Answer:
1 19/30
Step-by-step explanation:
Answer:
NEVERMIND (I thought 45/30, but i dont know)
Step-by-step explanation:
2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1
Answer:c
Step-by-step explanation:
50 POINTS!!!There were 50 questions on Vince's math test. He answered 45 questions correctly. What percent of the questions did Vince answer correctly?
Answer:
90%
Step-by-step explanation:
50 x 2 is 100
40 x 2 is 80
5 x 2 is 10
80 +10 = 90
given H(x)=4(x+3), which of the following is the value of H(-2)?
Answer:
H(-2)=4
Step-by-step explanation:
H(x)=4(x+3)
Let x =-2
H(-2)=4(-2+3)
=4(1)
= 4
- 5/6e (the fraction) - 2/3e (the fraction)=-24
Answer:
I believe this is the correct answer. e = 16
PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!
Answer:
line X
Step-by-step explanation:
find the measure of the angle indicated with a?, and enter the number only
9514 1404 393
Answer:
45°
Step-by-step explanation:
Arc YZ is the difference between the given arcs and 360°:
126° +144° +YZ = 360°
YZ = 360° -270° = 90°
The inscribed angle (?) is half the measure of the arc it intercepts:
? = 90°/2
? = 45°
Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm
Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x
Alexandra’s soccer team played 25 games and won 22 of
them. What percent did the team win?
Answer:
88%
Step-by-step explanation:
25*4=100. this means we have to multiply 22*4, which gets us 88%
Answer:
0.88%
Step-by-step explanation:
25 divided by 22
Wich statement best explains the relationship between the numbers divisible by 6, 2, and 3? what's the answer?
Answer:
oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.
Solve the inequality:
Please select the best answer from photo of choices provided.
Answer:
b. h>-4
Step-by-step explanation:
Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.
[tex]\frac{3}{2}h+12\geq 6[/tex]
To solve first subtract 12 from both sides
(3/2)h>-6
Then, multiply both sides by (2/3)
h>-4
Abigail took a science test and got 36 correct and 4 incorrect answers. What was the percentage of correct answers?
Answer: 88.89
Step-by-step explanation: You put the correct answers over the number of answers in total 32/36 then you divide: Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.
Multiply the numerator (top) of the fraction by the same number.
Answer:
90%
Step-by-step explanation:
First you have to find out what is the total amount of questions so 36+4=40
Anyway the answer is 90
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!
Cecilia records the weight change in her cat over 2 weeks. What number does she record as the total weight change for her cat?
LOOK AT THE ATTACHED PICTURE
Answer:
The total change is [tex]\frac{1}{16\\}[/tex]
Step-by-step explanation:
What is the slope of the line that passes through
the points (-8, 2) and (-8, -4)?
Answer:
The slope is undefined
Step-by-step explanation:
as - 4-2/-8-(-8)
Is - 6/0
An isosceles triangle has two sides of length n where n is an integer greater than 1. What is the smallest possible integer length of the third side?(1 point)
⌊n/2⌋+1
n−1
1
0
Answer:
1
Step-by-step explanation:
The answer is 1 because of the triangle inequality theorem. In order for the shape to be a triangle, two of the sides need to be smaller than one. The two sides we know of is n, n is equal to an integer greater than 1. So, in order for the triangle to be a triangle, the third side has to be at least 1. I also had the same question on my assignment.