Answer:
6x−9x−5+8+7x
=6x+−9x+−5+8+7x
Combine Like Terms:
=6x+−9x+−5+8+7x
=(6x+−9x+7x)+(−5+8)
=4x+3
Answer:
=4x+3
Step-by-step explanation:
I hope this helps
Answer:
=4x + 3
Step-by-step explanation:
Add the numbers
6
solve for x -2x + 2 = x -13
Answer:
x = 5
Step-by-step explanation:
Add 2x to both sides: 2 = 3x - 13
Add 13 to each side: 15 = 3x
Divide both sides by 3: 5 = x
Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15
Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.
1. Write a function that defines the cousins age as a function of Noah's age.
2. What variable represents the input of this function?
3. What variable represents the output of this function?
4. Write the inverse of the function you wrote.
5. What variable represents the input of the inverse function?
6. What represents the output of the inverse function?
Answer:
1. f(N) = C ,where C = N - 7
2. The input of the function is x = N
3. The output of the function = y = C = N -7
4. F(C) = N where N = C - 7
5. Input of the inverse function = C
6. Output of the inverse function = N = C - 7
Step-by-step explanation:
Let Noah's cousin age = C
and Noah's age = N
As given ,Noah's cousin is exactly 7 years younger than Noah.
⇒ C = N - 7
a.)
As we know that , A function is a maping of x to y such that f(x) = y
Let x = N , y = C
So, f( x) = y
⇒f(N) = C ,where C = N - 7
b.)
The input of the function is x = N
c.)
The output of the function = y = C = N -7
d.)
A inverse function is a mapping of y to x
i.e change the variable ,
As we have C = N - 7
It becomes
N = C - 7
So the inverse function becomes
F(C) = N where N = C - 7
e.)
Input of the inverse function = C
f.)
Output of the inverse function = N = C - 7
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff students says P(1 head) = 1/3. Explain in detail why Jose is correct.
Let H represent heads and T represent tails.
Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.
We have these four possible outcomes when flipping two coins
HHHTTHTTOf those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.
PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form
Answer:
y=1+5
Step-by-step explanation:
b is the y intercept and 1 is the slope gradient
John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth
PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.
Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x
Answer:
The correct answer is y=4x
Step-by-step explanation:
The number of red marbles in a jar is 3 times the number of blue marbles
There are 27 red marbles and b blue marbles. Write an equation to represent this situation. How many blue marbles are there?
Answer:
I think this is the answer
9 blue marbles
3x=27
The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let b represents the number of blue marbles.
r represents number of red marbles in jar.
The number of red marbles in a jar is 3 times the number of blue marbles.
r=3b
There are 27 red marbles and b blue marbles.
27=3b
To find the number of blue marbles we have to solve the above equation.
Divide both sides by 3
27/3=3b/3
9=b
Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
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A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A
Answer:
Yes
Step-by-step explanation:
Given that :
CHAIN A:
Sample size n1 = 30
Sample standard deviation of waiting time s1 = 21.2
CHAIN B:
Sample size, n2 = 28
Sample standard deviation of waiting time s2 = 31.4
Null hypothesis H0: s1 = s2
Alternative hypothesis H1: s1 < s2
Test statistic ; Ftest : s1² / s2²
Ftest = 21.2^2 / 31.4^2
= 0.4558399
P value from F statistic : = 0.02 (using p value calculator)
Since the pval < 0.05
Then we reject the Null ; Chain A waiting time is more consistent
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
130 is a 13.333% or 13% decrease of 150.
PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST
Answer:
the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2
Step-by-step explanation:
all possible factors:
±3/2, ±1/2, ±3, ±1
2x³ + 3x² - 8x + 3
let '2' = p and let '3' = q
factors of 'p' are 1 and 2
let '3' = q
factors of 'q' are 1 and 3
possible factors are q/p
A superball rebounds half the height it drops. A student drops the superball from the top of a building, 176 feet above the ground. How far
above the ground is the ball when it has traveled a distance of 500 feet?
Answer:
62.48 ft.
Step-by-step explanation:
Initial height: 50 ft.
First rebound: 10 ft.
Second rebound: 2 ft.
Third rebound: 0.4 ft.
Fourth rebound: 0.08 ft.
If we approximate the fourth rebound to zero, we'll have:
50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.
Max walks 10 meters in 4 seconds what is his walking rate in meters per second
Answer:
2.5 m/s
Step-by-step explanation:
10/4 gets the answer. it is just distance over time
Answer: 2.5 m/s
Step-by-step explanation:
find the value of x
Corey need a 24 boards that are 47 1/2 inches long
A. How many feet a boards should he buy? Explains.
B. if you can only buy 8-fot boards, how many should he buy? explain
Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
Simplify using Synthetic Division
Which ratio is equivalent to 1 : 8
Answer: 2:16
Step-by-step explanation:
Answer:
2 : 16
Step-by-step explanation:
1 : 8 2 : 16 3 : 24 4 : 32 5 : 40
6 : 48 7 : 56 8 : 64 9 : 72 10 : 80
11 : 88 12 : 96 13 : 104 14 : 112 15 : 120
16 : 128 17 : 136 18 : 144 19 : 152 20 : 160
21 : 168 22 : 176 23 : 184 24 : 192 25 : 200
26 : 208 27 : 216 28 : 224 29 : 232 30 : 240
31 : 248 32 : 256 33 : 264 34 : 272 35 : 280
36 : 288 37 : 296 38 : 304 39 : 312 40 : 320
41 : 328 42 : 336 43 : 344 44 : 352 45 : 360
46 : 368 47 : 376 48 : 384 49 : 392 50 : 400
51 : 408 52 : 416 53 : 424 54 : 432 55 : 440
56 : 448 57 : 456 58 : 464 59 : 472 60 : 480
61 : 488 62 : 496 63 : 504 64 : 512 65 : 520
66 : 528 67 : 536 68 : 544 69 : 552 70 : 560
71 : 568 72 : 576 73 : 584 74 : 592 75 : 600
76 : 608 77 : 616 78 : 624 79 : 632 80 : 640
81 : 648 82 : 656 83 : 664 84 : 672 85 : 680
86 : 688 87 : 696 88 : 704 89 : 712 90 : 720
91 : 728 92 : 736 93 : 744 94 : 752 95 : 760
96 : 768 97 : 776 98 : 784 99 : 792 100 : 800
Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1
Answer:
Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Step-by-step explanation:
We need to use the quadratic formula to find the solutions for
[tex]y = 3x^2 + 8x - 1[/tex]
(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1
Putting values in the formula and finding solutions:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]
So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answer:
1 1/4 miles
Step-by-step explanation:
What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
Answer:
.83
Step-by-step explanation:
to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:
.83
hope this helps!!
Can someone help me Write an equation for this graph?
Answer:
y = (2/3)x - 1
Step-by-step explanation:
y = mx + b
m = (y₂ - y₁) ÷ (x₂ - x₁)
m = (1 - (-1)) ÷ (3 - 0)
m = 2 ÷ 3
m = 2/3
Insert slope and one of the points. I'm using (0, -1).
Solve for b.
-1 = (2/3)0 + b
-1 = 0 + b
-1 = b
∴ y = (2/3)x - 1
Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost
Answer:
.33 cents
Step-by-step explanation:
Write fractions in order 5/8 2/3 3/8
Answer:
3/8, 5/8, 2/3
9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4
Step-by-step explanation:
0.0660%2/33/4hope it's right :)
Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?
Answer:
A lot
Step-by-step explanation:
Why am I baking cakes. I SUCK.
There are 12 ounces of sugar will he need in his smaller cake.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.
Let the amount of sugar will he need in his smaller cake = x
So, By definition of proportion, we get;
⇒ Amount of Butter / Amount of Sugar
⇒ 8 / 16 = 6 / x
⇒ x = 6 × 16 / 8
⇒ x = 12 ounces
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Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.
Answer:
100 = 2x + 4y
Step-by-step explanation:
Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.
Answer: Margin of error = 1932
Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.
Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]
z is z-score related to the percentage of confidence, in this z = 2.576
σ is population standard deviation
n is how many individuals are there in the sample or population
With a new level of confidence of 99%:
ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]
ME = 2.576(750)
ME = 1932
The new margin of error would be 1932.
The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?
Answer:
Subtract 2 from both sides.
Step-by-step explanation:
Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
> Also, note the equal sign, what you do to one side, you do to the other side of the equation.
First step is to subtract 2 from both sides of the equation:
3x + 2 (-2) = 29 (-2)
3x = 29 - 2
3x = 27
The second step is to divide 3 from both sides of the equation:
(3x)/3 = (27)/3
x = 27/3
x = 9
~
Answer:
The first step is subtracting the two on both sides.
Step-by-step explanation:
You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.
Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?
Answer:
Let say the another number y
N×Y=94
Y=94/N
So the algebric expression is 94/N
