Rewrite the explicit formula in function form. The identify the y
intercept of the function.
an = 9-3(n-1)
Answers
Answer: y-intercept: (0, 12)
Step-by-step explanation:
[tex]a_n[/tex] = 9 − 3 (n − 1)
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Find the values of m and b using the form y = mx + b.
m = −3
b = 12
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: −3
intercept: (0, 12)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Find the x-intercept.
To find the x-intercept(s), substitute in 0 for y and solve for x.
0 = −3x + 12
Solve the equation.
Rewrite the equation as −3x + 12 = 0.
−3x + 12 = 0
Subtract 12 from both sides of the equation.
−3x = −12
Divide each term by −3 and simplify.
x = 4
x-intercept(s) in point form.
x-intercept(s): (4, 0)
Find the y-intercept.
To find the y-intercept(s), substitute in 0 for x and solve for y.
y = −3 ⋅ 0 + 12
Solve the equation.
Remove parentheses.
y = −3 ⋅ 0 + 12
Simplify −3 ⋅ 0 + 12.
y = 12
intercept(s) in point form.
intercept(s): (0, 12)
Create a table of the x and y values.
x | y
0 | 12
4 | 0
Graph the line using the slope and the y-intercept, or the points.
Slope: −3
intercept: (0, 12)
Related Questions
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour
Answers
Answer:
Approximately [tex]3410[/tex] steps each hour.
Step-by-step explanation:
Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.
Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.
To find: Number of steps, approximately, she walked each hour.
Solution: We have,
Total number of steps [tex]=20,458[/tex] steps.
Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.
So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.
Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.
I'm so confused............................................
Answers
Answer:
Step-by-step explanation:
a is not less than 0 because it is to the right of 0 on the number line, so the first statement is false. The second statement is true. The absolute value of positive a is positive a, and since a is to the right of 0 on the number line, it is greater. The third statement is false. The absolute value of positive a is positive a, not 0.
if 2/5 of a man's money is 4500. what is the total money
Answers
Answer:
Total money= 11250
In attachment
from the adjoining figure, find the value of x
Answers
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
A car travels 76 km in 47 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place
Answers
Answer:
97km/h to 1dp
Step-by-step explanation:
47mins is 0.783 of an hour
76km/0.783 = 97.0212km/h
Julie made 40 chocolate
cupcakes and 32 vanilla
cupcakes. What is the
ratio of chocolate to
vanilla cupcakes in
simplest form? HELP ASAP
Answers
Answer:
5 to 4
Step-by-step explanation:
when it's asking for a ratio it's basically division
chocolate/vanilla = 40/32 = 5/4
5/4 is the same as 5:4 or 5 to 4
5/9&4/9=5 to 4
Miguel needs to fix a window screen that is 23 feet above the ground. A ladder leans against a building and forms a 75 degree angle with the ground. The angle where the building and ground meet is 90 degrees. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft
Answers
Answer:
24
Step-by-step explanation:
i did it on edge
The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side in the right triangle."
What is Pythagoras theorem?"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."
What is sine of angle?"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "
For given question,
Consider the following figure.
In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.
WY represents the ladder.
that is the hypotenuse of right triangle WXY is the length of the ladder.
A ladder leans against a building and forms a 75 degree angle with the ground
⇒ ∠WYX = 75°
Consider the sine of ∠WYX .
[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]
This means the hypotenuse WY is approximately 24 ft.
Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
Learn more about the hypotenuse here:
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Exp
Breana has $2,500 in her bank
account. Every week, she withdraws
$45.50 for expenses. She makes
one deposit of $50.00. How many
weeks can she withdraw this money
if she wants to maintain a balance of
at least $200?
Answers
Answer: $40 can be withdrawn from the account for 7 weeks if she wants to maintain a balance of at least $200.
Step-by-step explanation:
G
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches
What are the dimensions of the original picture?
x
O 3 inches by 5 inches
O 3 inches by 15 inches
O 6 inches by 12 inches
O 27 inches by 45 inches
Answers
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
Answer:
3 inches by 5 inches
Step-by-step explanation:
You have to divide the numbers 9 and 15 by 3
9÷3=3
15÷3=5
So that means it is 3 inches by 5 inches
A is directly proportional to B when A = 12, B = 3 a) find a formula for A in terms of B b) find the value of A when B = 5 c) find the value of B when A = 36
Answers
Answer:
a) A = kB
b) 20
c) 9
Step-by-step explanation:
A is directly proportional to B when A = 12, B = 3
a) find a formula for A in terms of B
A ∝ B
A = kB
Where k is constant of proportionality
when A = 12, B = 3
12 = 3k
k = 12/3
k = 4
b) find the value of A when B = 5
A = kB
k = 4
A = 4 × 5
A = 20
c) find the value of B when A = 36
k = 4
A = kB
B = A/k
B = 36/4
B = 9
Hey can yall help me with this question thank you
Answers
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
PLEASE HELP ANYONE!!!Write the exponential regression representing the population of Lazy Town as a function of time in years
Answers
Given:
[tex]R^2=0.92,a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex]
To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
We have, [tex]a=8000,b=0.9[/tex].
Exponential regression model is
[tex]y_1\sim a(b)^{x_1}[/tex] ...(i)
Putting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.
[tex]y_1\sim 8000(0.9)^{x_1}[/tex]
Thus, [tex]y_1\sim 8000(0.9)^{x_1}[/tex] is the required exponential regression representing the population of Lazy Town as a function of time in years.
define seperation by evaporation
Answers
Answer:
Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.
May it help you
AHHHHHHhh asap plz answer!!
Answers
number one because if you do the math it's the o nly one that's different
Answer: 4 : 15
Step-by-step explanation:
The unit ratio of 2 : 8 is 1 : 4
The unit ratio of 5 : 20 is 1 : 4
The unit ratio of 3 : 12 is 1 : 4
However, the unit ratio of 4 : 15 is 4 : 15
Hope this helped!
Graph the system of linear inequalities.
y > 2x − 2
y < 2x + 3
Answers
Answer:
u should use des mos . com
answer: 2x − 2 < y < 2x + 3
Graph a dashed line, then shade the area below the boundary line since y is less than 2x + 3
.
The nature park has a pride of 6 lions and 4 cubs. The adults eat 9 pounds of meat each day and the cubs eat 3 pounds. Simplify 6 × 9 + 4 × 3 to find the amount of meat consumed each day by the lions.
Answers
Answer:
66
Step-by-step explanation:
6 × 9 + 4 × 3
We use PEMDAS to determine the order in which the mathematical operations would be carried out.
PEMDAS is an acronym for Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
Multiplication comes first so;
6 × 9 + 4 × 3
54 + 12
We can then add both numbers.
54 + 12 = 66
i am in middle school
Answers
Answer:
1. The 12 pack
2. Sargento cheese slices
Step-by-step explanation:
1.
1.80×2=3.60
2.
2.48/10 = .248 → .25
Write the equation of the function on the graph.
Answers
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?
Answers
Answer:
75°
Step-by-step explanation:
Does the system shown always, sometimes, or never have a solution when a >b?
ax+y=8
bx + y = 5
always
sometimes
O
never
Answers
Answer:
sometimes
Step-by-step explanation:when a >b?
ax+y=8
bx + y = 5
always
sometimes
O
never
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
Answers
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will slips down one meter. Then how long does it take for the snaik to reach the top of the coconut?
Answers
Answer:
The snail will reach the top of the coconut in 18 hours.
Step-by-step explanation:
If the snail will climb 2 meters in 1 hour but it will slip down one meter for every 2 meters climbed, then the distance traveled will be:
[tex] d = 2 m - 1 m = 1 m [/tex]
Since in 1 hour, it climbs 2 meters minus 1 meter, the time in which the snail will reach the top is:
[tex] t = \frac{1 h}{1 m}*18 m = 18 h [/tex]
Therefore, the snail will reach the top of the coconut in 18 hours.
I hope it helps you!
Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards
Answers
Answer:
125
Step-by-step explanation:
First you want to find out the difference between Randy and Phil:
120 - 95 = 25
Then, multiply that by five:
25 × 5 = 125
Hope this helps
Answer:
Davis owns 125 cards
Step-by-step explanation:
120 - 90 = 25 x 5 = 125
Giving brainliest
Math!!
Answers
hope this helps!!
Answer:
B
Step-by-step explanation:
Plz help I do t have much time!!!!!!!!! Which expression is represented by the model?
A.
B.
C.
D.
Answers
Answer:
4x-3 or A
Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3
Answer:
Hi, this is a strange problem but I believe the answer is A) 4x-3.
Step-by-step explanation:
I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)
A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?
Enter a unit that best describes the number.
Answers
Answer:
102
Step-by-step explanation:
12 x 9 x 51 = 5508
5508 / 54 = 102
Hope this helps!
Answer:
102.00
Step-by-step explanation:
12 feet high * 9 feet wide * 51 feet long / 54 = the answer
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answers
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
What is the area of the figure?
Answers
Answer:
252
Step-by-step explanation:
15 times 12 is 180. 3 times 6 is 18. 6 times 9 is 54. 252 is the area
28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range
Answers
Answer:
median: 44
first quartile: 25
third quartile: 61.5
interquartile range: 36.5
Step-by-step explanation:
For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The given date set is 28,46,25,76,18,25,47,83,44.
The data in order 18,25,25,28,44,46,47,76,83.
Here,
Median =44
First quartile=Q₁=25
Third quartile=Q₃= (47+76)/2
= 61.5
Now, interquartile range (IQR)
= Q₃-Q₁
= 61.5-25
= 36.5
Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
Learn more about the interquartile range here:
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What is the area of a circle is the radius is 8
Answers
Area of circle = pi x radius² (pi x 8²)
Step-by-step explanation: To find the area of the circle,
start with the formula for the area of a circle, which is [tex]A = \pi r^{2}[/tex].
Notice that our circle has a radius of 8 units.
So plugging into the formula, we have (π)(8 units)².
Now, (8 units)² is equal to 8 units × 8 units or 64 units².
So we have 64π units² which is an exact answer.