Answers
Answer:
[tex]y = 4.5x[/tex]
Step-by-step explanation:
Given
The attached table
Required
The table equation
The table shows a linear relationship.
So, we calculate the slope (m) first
Using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) =(2,9)[/tex]
[tex](x_2,y_2) =(6,27)[/tex]
So, we have:
[tex]m = \frac{27 - 9}{6 - 2}[/tex]
[tex]m = \frac{18}{4}[/tex]
[tex]m = 4.5[/tex]
Next, the equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.5(x - 2) + 9[/tex]
Open bracket
[tex]y = 4.5x - 9 + 9[/tex]
[tex]y = 4.5x[/tex]
Related Questions
The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:
10
14
18
28
Answers
The first and the second sequence are arithmetic and geometric sequence, respectively
The first number in both sequences is 14
How to determine the first number?From the question, we have the following rules
Rule 1Start = 7
Multiply by 2
Rule 2Start = 8
Add = 2
So, the numbers in the sequence are:
Rule 1: 7, 14, 28, 56......
Rule 2: 8, 10, 12, 14, .....
By comparing the numbers in the sequence, we can see that the first number in both sequences is 14
Read more about sequence at:
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HELP PLEASE!!!!!!!!!!!
Answers
Answer:
x = 4
Step-by-step explanation:
7.5 + 7.5 = 15
[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]
cross multiply
15x = 60
divide
x = 4
or
since the bigger one is 2x smaller
8/2 = 4
o study student engagement, a university surveys 1,390 college freshman and determines that 470 of them participate in a recreational sport. The university would like to estimate the proportion of all college freshman that participate in a recreational sport at a 95% confidence interval. What is the upper bound of the confidence interval built by the university
Answers
Answer:
46
Step-by-step explanation:
Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?
Answers
Answer:
24 gallons
Step-by-step explanation:
set up a proportion and cross-multiply:
g = # gallons
192/4 = g/0.5*
4g = 96
g = 24
*30 minutes = 0.5 hours
Find the area of the shape below. 5yd 7yd
Answers
Answer:
45.99 yd²
Step-by-step explanation:
The square is 5 yd × 7 yd
35 yd²
The circle = 2 × pi × radius
2 × 3.14 × 3.5
21.99115 rounds to 21.98 yd²
Since it is have a circle,
21.98 yd² ÷ 2
10.99 yd²
35 yd² + 10.99 yd²
45.99 yd²
If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)
Answers
Answer:
[tex]f(3) = -16[/tex]
Step-by-step explanation:
Given
[tex]f(x)= - 4x-4[/tex]
[tex]g(x)= 4x^2 + 4x + 2[/tex]
[tex]h(x)= 3x^2 - 3[/tex]
Required
[tex]f(3)[/tex]
We have:
[tex]f(x)= - 4x-4[/tex]
Substitute [tex]x = 3[/tex]
[tex]f(3) = -4 * 3 - 4[/tex]
[tex]f(3) = -12 - 4[/tex]
[tex]f(3) = -16[/tex]
Hence:
[tex]f(3) = -16[/tex]
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
AK
170%
B
-С
Answers
Answer:
10 degrees
Step-by-step explanation:
if it's supplementary then the two angles add up to get 180.
180-170=10
which is equivalent to 3/8^1/4? 8^3/4
A.10
B.6
C.5
D.2
Answers
Answer:
B I'm pretty sure..............
If g(x) = -3(x) - 5 then g(?) = 25
10
-20
5
-10
Answers
Answer:
D) -10
Step-by-step explanation:
We will assign g(x) to be equal to 25, and then solve for x:
25 = -3x-5
30 = -3x
10 = -x
-10 = x
So D is correct
Answer:
-10 is correct option
Step-by-step explanation:
g(x)=-3(x)-5
g(-10)=-3(-10)-5
=30-5
=25
Which function is decreasing on the same interval as the function graphed here?
Answers
The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.
What does it mean for a function to be decreasing?
When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.
That is when x1 < x2 then f(x1) ≥ f(x2)
What is the Proof of the above?Let F(x) = 4
Thus
f(4) = -(4)² + 4(4) -4
= 16 + 16 - 4
= 28
Now, let F(x) = 2
Thus
f(2) = -(2)² + 4(2) -4
= 4 + 8 - 4
= 8
Note that X1 = 4 and X2 = 2
Thus x1 < x2 then f(x1) ≥ f(x2).
Hence Option C is the decreasing function.
Learn more about decreasing functions at;
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If 25% is 14, what is 100%?
Answers
Answer:
56
Step-by-step explanation:
25% = 14
Therefore,
25%*4 = 14*4
100% = 56
Need help take your time and thx
Answers
Answer:
(x-4) (x+1)
step by step explanation:,
Brainliest for correct answer.
Answers
Answer:
a
Step-by-step explanation:
Which expression is equivalent to (6^-2)^3
Answers
6^6 is equal to 46656
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answers
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
Bradley's bike has an odometer, which shows how far he rides. Bradley rode 2.7 miles on
Monday, 2.4 miles on Tuesday, and 2.8 miles on Wednesday.
How many days did Bradley ride more than 2 miles?
Answers
Answer:
7.9
Step-by-step explanation:
I added 2.7 + 2.4 + 2.8, lmk if it's wrong.
help me plz...............
Answers
Answer:
2. 7.6
3. .057
4. Nine and three tenths
5. Forty two hundredths
6. Ninety two thousandths
Step-by-step explanation:
Answer:
1. 0.16
2. 7.6
3. 0.057
4. nine and three tenths
5. forty two hundredths
6. ninety two thousandths
I hope this helped
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answers
Answer:
45
Step-by-step explanation:
I just took test and got 100%How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.
Answers
Answer:
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⠀
Step-by-step explanation:
⠀
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⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
⠀
⠀⠀⠀⠀
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A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?
a. H0:β1=0 Ha:β1≠0
b. H0:β1=0 Ha:β1>0
c. H0:β1=0 Ha:β1<0
d. H0:β1≠0 Ha:β1=0
e. H0:b1=0 Ha:b1≠0
Answers
The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The correct hypotheses for testing the linear relationship between two variables can be stated as:
H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)
Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)
Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
Learn more about statistics here:
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Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18
Answers
Answer:
w < 9
Step-by-step explanation:
w + 9 < 18
To solve this inequality, we MUST get the w by itself
Subtraction Property of Equality w + 9 - 9 < 18 - 9
Answer w < 9
What is the unit rate for the ratio 4/7: 8/21?
Answers
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
help help please i did not understand
Answers
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
The population of China was about 1.39 billion in the year 2013with an annual growth rate of about 0.6\% . Find an equation P(t) that represents the growth function for China. Write your answer in the form a * (b) ^ 2 in billions Provide your answer below:
Answers
Answer: 1.39(1.006)^t
Step-by-step explanation:
The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
What is a Function ?A statement that relates two unknown parameters such that one is dependent on the other is called a function.
It is given that
Initial population = 1.39 billion in 2013
Growth Rate = 0.6%
Let a represent the initial population
b is the growth rate
and 2 be the elapsed year from 2013
and let the population at any given year is P(t)
Then the equation formed is
P(t) = a * bⁿ
P(t) = 1.39 * ( 1.006)ⁿ
Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
To know more about Function
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Pls help mark barinlist
Answers
Answer:
okay sure Barnyst comingup
Step-by-step explanation:
My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?
Answers
In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answers
Answer:
Step 3 because they didn't add correctly
Help me pls I really need help
Answers
I think is 200 minutes
PLEASE HELP I ONLY HAVE AN HOUR LEFT !!!!!!
Answers
Answer:
1,3, and 4
Step-by-step explanation:
Interactive digital version available - link: https://access.openupresources.org/curricula/our6-8math/en/supporting-material/7569/index.html
After a while, Jada picks up a coin that seems different than the others. She notices that the next day, only half of the coin is left!
On the second day, only 1/4 of the coin is left.
On the third day, 1/8 of the coin remains.
What fraction of the coin remains after 6 days?
What fraction of the coin remains after 28 days? Write an expression to describe this without computing its value.
Does the coin disappear completely? If so, after how many days?
Answers
Answer:
After 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.
Step-by-step explanation:
Since after a while, Jada picks up a coin that seems different than the others, and she notices that the next day, only half of the coin is left, while on the second day, only 1/4 of the coin is left and, on the third day, 1/8 of the coin remains, to determine what fraction of the coin remains after 6 days, what fraction of the coin remains after 28 days and determine if the coin will disappear completely, the following calculation must be performed:
1/2 ^ 6 = X
0.015625 = X
1/64 = X
1/2 ^ 28 = X
0.0000000037252902984619140625 = X
1/268435456 = X
Thus, after 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.
