Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 2x + 1
(a)
To evaluate f(2) substitute x = 2 into f(x), that is
f(2) = 2(2) + 1 = 4 + 1 = 5
(b)
let y = f(x) and rearrange making x the subject
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
change y back into terms of x and x = [tex]f^{-1}[/tex] (x) , thus
[tex]f^{-1}[/tex] (x ) = [tex]\frac{x-1}{2}[/tex]
(c)
To evaluate the inverse function substitute x = 7, that is
[tex]f^{-1}[/tex] (7) = [tex]\frac{7-1}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
What is the y-value of the solution to the system of equations?
3x + 5y = 1
7x + 4y = -13
-3
-1
2
5
Answer:
So the answer is the third one,y=2
Answer:
3rd option: 2
Step-by-step explanation:
edgen2020
If you were to roll the dice one time what is the probability it will NOT land on a 2? Put your answer in fraction form.
Answer:
5/6
Step-by-step explanation:
On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).
Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.
I hope this helps.
The probability that it will not land on a 2 is 5/6
Probability is the likelihood or chance that an event will occur.
It will land on 2, Prob (land on 2) = 1/6
It will not land on 2, the probability will be given as:
Prob (not land on a 2) = 1 - 1/6
Prob (not land on a 2) = 5/6
Hence the probability that it will not land on a 2 is 5/6
Learn more on Probability here: https://brainly.com/question/25870256
which number is an interger
Answer:
Any number that is a whole number not a fraction or decimal
Step-by-step explanation:
Can someone answer this please.
Answer:
This is the answer I am writing the answer rn
Step-by-step explanation:
Write an inequality that compares 3 and 5
Answer:
3 < 5
Step-by-step explanation:
3 < 5
We can write this inequality, because three is less than five, and < means less than.
An inequality is a mathematical sentence which
states that two expressions are not equal.
The "<" symbol means less than.
Since 3 is less than 5, we can write this as 3 < 5.
Take a look below I have attached the same problem
and an additional one to show you.
What is the difference between the highest and lowest points in a data set?
the mean
the median
the mode
the range
Answer:
range
Step-by-step explanation:
difference between the highest and lowest points in a data set = range
The mean is the average of all the points
The median is the middle of all the points
The mode is the point the appears the most often
"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"
Online song that's helped me remember the difference between median, mode, mean and range for years!
Find the slope of the line containing the given points
Answer:
-9/8
Step-by-step explanation:
The two points given are
(1,6) and (9,-3)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-3-6)/(9-1)
= -9/8
PLZ HELP STUCK ON THIS QUESTION
4a + 6b = 24
6a - 12b = -6
Given the equations what is the value of a+b?
PLZ HELP WILL MARK BRAINLIEST
Answer:
5
Step-by-step explanation:
4a + 6b = 24
6a - 12b = -6
Rewrite the first equation below. Divide both sides of the second equation by 2 and write below the first equation. Then add the equations.
4a + 6b = 24
+ 3a - 6b = -3
----------------------------
7a = 21
Divide both sides by 7.
a = 3
Now substitute 3 for a in the first equation and solve for b.
4a + 6b = 24
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
a = 3, and b = 2
a + b = 3 + 2 = 5
Answer: 5
Solve each equation (steps as to how appreciated)
Answer:
{10, -8} (A)
Step-by-step explanation:
Since it is absolute value, n-1 can equal both 9 or -9.
First you solve for n-1=9. That would make n=10
Then you solve for n-1= -9 .That would make n=-8
Answer:
A) {10, -8}
Step-by-step explanation:
Since it is absolute value, you must split it into two equations:
n-1=9
n-1=-9
Now solve for n in both equations
n=10
n=-8
Therefore, the answer is A
At the end of a snow storm, Mason saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour. Write an equation for the function S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling.
Answer:
S(t) = 10 - 0.5t
Step-by-step explanation:
initial depth of snow = 10 inches
melting rate = 0.5 inches per hour
it means that, in one hour snow depth will decrease by 0.5 inches
thus , in t hours snow depth will decrease by 0.5*t = 0.5t inches
Thus, depth of snow after t hours can be calculated by
we will take initial depth of snow and them subtract the depth of snow which melted in t hours.
we are subtracting as snow is melting and will thus decrease the depth of snow
depth of snow after t hours can = initial depth of snow - decrease of the depth of snow after snow melts for t hours
depth of snow after t hours can = 10 inches - 0.5t inches
= (10 - 0.5t )inches
Thus ,S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling is S(t) = 10 - 0.5t
Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagram. Write down any three of them.
Answer:
Step-by-step explanation:
Properties of a bar graph:
1). There should be equal space between the bars or the columns.
2). Width of each bar or columns should be same.
3). All bars should have same base.
4). Height of each bar will show the value of the data.
By these properties,
- Space between London-Paris, Rome-Oslo are not equal.
- Width of Munich bar is different from other bars.
3p + q = 8 and
3p - q = 10
then p+q is?
Answer:
2
Step-by-step explanation:
3p + q = 8 and
3p - q = 10
then p+q is?
--------
add up side-by-side:
6p=18 ⇒ p=3
q=8-3p= 8 - 9= -1
p+q= 3-1=2
Answer:
2
Step-by-step explanation:
3p + q = 8
3p - q = 10
→ Minus the two equations away from each other which would cancel out 3p
2q = -2
→ Divide both sides by 2 to isolate q
q = -1
→ Substitute q = -1 back into 3p + q = 8
3p - 1 = 8
→ Add 1 to both sides to isolate p
3p = 9
→ Divide both sides by 3 to isolate p
p = 3
⇒ The question asks us to find p + q so,
3 + - 1
→ Remember the minus cancels out the plus
3 - 1 = 2
7. Simplify the following equation:
9x-7i > 3 (3x-7u)
Answer:
i<3u
Step-by-step explanation:
Let's solve for i.
9x−7i>3(3x−7u)
Step 1: Add -9x to both sides.
−7i+9x+−9x>−21u+9x+−9x
−7i>−21u
Step 2: Divide both sides by -7.
−7i
−7
>
−21u
−7
i<3u
Hope this helps.
Answer: i < 3u
We first distribute 3.
9x-7i > 3 (3x-7u)
9x-7i > 9x - 21u
Subtract 9x from both sides.
-7i > -21u.
Divide both sides by -7. Since -7 is negative so the inequality sign will change.
i < 3u.
Learn more: https://brainly.com/question/20521181
A cell phone plan costs $150 to start. Then there is a $25 charge each month.
a. What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?
Answer:
$175
Step-by-step explanation:
Since it’s only one month you just add 150 by 25
Correct me if I am wrong
please help with slope question fast
Answer:
C
Step-by-step explanation:
this is because perpendicular lines have the opposite reciprocal slopes. So, 3/2 is the opposite reciprocal of -2/3 since it is negative and that is the opposite sign. Then, it is the reciprocal of the fraction since the numerator and the denominator are switched. If you check the other answer options, you will see that none of the slopes are the exact opposite reciprocal.
An architect is making a plan for a new circular playground. If the picture below is the playground, how much fencing needs to go up to keep the kids in the circle? ⬇⬇⬇
Answer:
Length of the fencing required = 201.06 meters
Step-by-step explanation:
Architect is planning a circular playground with diameter = 64 m
We have to calculate the fencing required to cover this playground.
Length of fencing = circumference of the playground
Since circumference of a circle = π × (Diameter)
= 64π
= 201.06 meters
Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.
How many milliliters are 30 teaspoons? 1 tsp=5mL
Answer:
Step-by-step explanation:
1 ts = 5 ml
5*30 =150
30 ts=150 ml
A display case has room for 10 statues. Find the number of ways you can line up the statues if you have 5 statues
(Just and Example so it'll kinda explain it.)
Example A
How many ways can 5 students sit in a row?
Solution: If we consider the students sitting in one of five seats, then we have 5 students to choose from for the first seat, four remaining to choose from for the second seat and so on until all the seats are filled.
5–×4–×3–×2–×1–=120 So there are 120 ways to seat the students.
More Guidance
The way we just wrote out 5–×4–×3–×2–×1– can also be expressed as a factorial. A factorial is the product of a number with each number less than itself. We use the notation, 5!, which is read as “five factorial” to represent the expression 5–×4–×3–×2–×1–. It is important to note that 0!=1!=1. Students are often perplexed that both zero and one factorial are equal to one but think back to the context for illustration. If you want to arrange zero items, how many ways can you do it? If you want to arrange one item, how many ways can you do it? There is only one way to “arrange” zero or one item.
To evaluate a factorial on the TI-83 or 84 graphing calculator, type in the number, then press MATH→NUM, 4!. Press ENTER to evaluate.
Please answer correctly !!!!! Will mark brianliest !!! And click on the photo to answer the question !!!
Answer:
36
Step-by-step explanation:
Let Brandon's age be b. We can write 4b = b + 27 which gives us b = 9. Because Michael is 4 times as old as Brandon, he is 9 * 4 = 36 years old.
Answer:
36
Step-by-step explanation:
Micheal is 4 times as old as Brandon.
y = 4x
Micheal is also 27 years older than Brandon.
y = x +27
Y represents Micheal's age, and x represents Brandon's age.
Since both equations above are equal to the same value, y, you can set the two equations equal to each other. Solve for x.
4x = x + 27
3x = 27
x = 9
Brandon is 9 years old.
Plug Brandon's age into one of the equation to solve for Micheal's age.
y = x + 27
y = 9 + 27
y = 36
Micheal is 36 years old.
6) Work out 4 x 10-5 x 6 x 1012
Give your answer in standard form.
Answer:
4 × 5 × 6 × 1012 = 121440
= 1.2 × 10⁵
6. Name a fraction larger than 1/2 and
smaller than 5/8
Answer:
3/5 works
Step-by-step explanation:
its in between 1/2 and 5/8
Answer:
it's 9/16 it is in between 1/2 and 3/4
What is the sum of the interior angles of a polygon that has 9 sides?
Answer:
1260 degrees
Step-by-step explanation:
Find the value of the expression 4a^4 − 2b^2 + 40 when a = 2 and b = 7
Answer:6
Step-by-step explanation:
4(2)^4 − 2(7)^2 + 40
4(16)-2(7)^2+40
64-2(49)+40
64-98+40
-34+40
6
Answer:
6
Step-by-step explanation:
4a^4 - 2b^2 + 40
Put a = 2 and b = 7
4(2)^4 - 2(7)^2 + 40
Solve the powers first.
4(16) - 2(49) + 40
Multiply.
64 - 98 + 40
Add and subtract.
= 6
Mark has 1/2 pound of chocolate chips to make chocolate chip cookies. He needs 1/6 pound chocolate chips for one batch of cookies. How many batches of cookies can he make?
Answer:
3 batches
Step-by-step explanation:
First simplify 1/2 into 3/6
which into 1/6 makes three which means Mark can make 3 batches of cookies.
(If Mark had a full pound he could make 6 batches of cookies)*
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Answer:
3 batches
Step-by-step explanation:
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? What equation would you use to solve this problem?
Answer:
$2
Step-by-step explanation:
24-10=14
14/7=2
Answer:
Each pencil costed $2
Step-by-step explanation:
She bought 7 pencils at $2 7x2=14
24-14=10
Helppp meeee plssssssss
Answer: C
Step-by-step explanation:
in the problem, you know that the answer will be negative. -(-8/-4) gives you -2. There is no answer choice that is -2. Therefore, none of the above is your answer.
GET EASY POINTS AND BRAINLIEST IF YOU ANSWER!!!!!!!!!!! 1)There were 50 people in the Cross Country race: 10% wore red socks 16% wore blue socks 40% wore white socks How many people wore red, blue, and white socks? 2) Six shoes were in a basket: 2 running shoes, 3 fancy shoes, and 1 pair of flip flops. How many different outcomes are there if you randomly choose 2 shoes? How many of those outcomes will include at least 1 fancy shoe? How many of those outcomes include choosing both pairs of running shoes? How many outcomes include the pair of flip flops?
Answer:
1. 5 wore red, 8 wore blue, and 20 wore white.
2. I'm not sure how this question is meant to be looked at. Are the running shoes and fancy shoes in pairs?
Step-by-step explanation:
For the first question, you simply convert the fractions to decimals, then multiply those decimals by 50 (the amount of people). To do this, just move the decimal place back two. EX: 10% -> 0.10.
Find the volume of a sphere with a surface area of 2916 squared pi
Answer:
it would be somewhere around 29161231
Step-by-step explanation:
it is m8
Which points are coplanar and collinear
Answer:
Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear. Coplanar points are points all in one plane and non coplanar points are points that are not in the same plane.
Step-by-step explanation:
hope this helps you :)
Rectangle 1 and Rectangle 2 are similar. Rectangle 2 is three times as long as Rectangle 1. If Rectangle 2 is 18 inches wide, how wide is Rectangle 1?
3 inches
6 inches
9 inches
54 inches
Answer: 6 inches
Step-by-step explanation:
If rectangle 2 is 3 times as long as rectangle 1, then all we hae to do is divide the width by 3 (The width is 18)
18 ÷ 3 = 6
Answer:
6 trust me i had this on my assignment...
Step-by-step explanation: