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
Anne decided to build a fence around her 15 feet long flower bed. How many feet of fencing should she buy if the width of the flowerbed is 4/5 the length?
Answers
Answer:
[tex]54[/tex] feet
Step-by-step explanation:
Length of the flower bed [tex]=15[/tex] feet.
Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.
So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.
To find the length of the fencing, we need to find the perimeter of the flower bed.
Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]
So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.
Hence, [tex]54[/tex] feet of fencing is required for the flower bed.
Neeeeed helpppppp please
Answers
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor = [tex]\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}[/tex]
= [tex]\frac{\text{Length of CD}}{\text{Length of GH}}[/tex]
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(-7-0)^2+(0+7)^2}[/tex]
= [tex]\sqrt{98}[/tex]
= [tex]7\sqrt{2}[/tex]
Length of GH = Distance between G(0, -1) and H(-1, 0)
= [tex]\sqrt{(-1-0)^2+(0+1)^2}[/tex]
= [tex]\sqrt{2}[/tex]
Scale factor = [tex]\frac{7\sqrt{2} }{\sqrt{2} }[/tex]
= 7
What are the solutions to 3n-1> 8 or 4n+3 < -1 ?
how would you write it in interval notation?
HELP ASAPPP PLZZZ
Answers
Step-by-step explanation:
3n - 1 > 8 or 4n + 3 < -1
3n > 9 or 4n < -4
n > 3 or n < -1
Solution set: (-∞, -1) U (3, ∞).
WILL GIVE BRAINLIEST PLEASE ANSWER ASAP
Answers
Answer:
Circle man ez
Step-by-step explanation:
Answer:
Circle
Step-by-step explanation:
There is no way you could cut this where you would get a circle.
hurry up pls!!!!!!! How can shaded regions on a graph model inequalities?
Answers
the difference between 14 and another number is - 17.what are the possible numbers?
Answers
Answer:
-31
Step-by-step explanation:
14 + x = -17
x = -31
Ahhhhhhhhhh
find the values of z and y plssss
Answers
Answer:
z is 23 and i dont see a y
Step-by-step explanation:
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answers
Answer:
Its C i just took the test and got this right!!!
Step-by-step explanation:
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.
5² = 4² + 3²
25 = 16 + 9
25 = 25
The side 3 cm and 4 cm is normal to each other.
Then the correct option is C.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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.......... .. ........ I..
Answers
hurry please what is 1+1
Answers
Answer:
2
Step-by-step explanation:
Hope this helps!! Have a blessed day!
Answer:
1 + 1 = 2
Step-by-step explanation:
This is because if you count on your fingers one and one, you get two. I hope this helps!!
Sandy has 2 1/3 candy bars. She told her brother she will give him 1/2 of one of her candy bars. how much will she have left
Answers
I need the answer for -6p > 6
Answers
Answer:
p could be -2 or higher
Step-by-step explanation:
Answer:
p<−1
Step-by-step explanation:
-6 both sides
Simplify the expression by combining like terms: 5w - W - 16
Answers
Answer:
4w-16
Step-by-step explanation:
the only like terms in this equation are the w, so subtract them and you get 4w-16.
4-4.
Can someone please tell me whether its B or C?
I'm leaning towards B but a friend said C.
Answers
Answer:
B
Step-by-step explanation:
Your first instinct is correct. Plus, it says GAIN ==> +. Not LOSS ==> -.
Answer:
Step-by-step explanation:
Choice B is correct. It’s given that the helicopter’s initial height is 40 feet above the ground and that when the helicopter’s altitude begins to increase, it increases at a rate of 21 feet per second. Therefore, the altitude gain t seconds after the helicopter begins rising is represented by the expression 21 t. Adding this expression to the helicopter’s initial height gives the helicopter’s altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude: y equals, 40 plus 21 t.
"Five times a number minus seven is equal to the opposite of eleven."
Answers
Answer:
- 4/5
Step-by-step explanation:
5X-7 = -11
+7 = -11+7
5X = -4
Divide 5 on both sides
= - 4/5
I need help with this question
Answers
Answer: yes
Step-by-step explanation:
a dilation is increasing the size, even just by a slight bit. that is where dilating your eyes comes into play, it is making your pupils bigger. so yes, this seems to be a dilation.
10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit
Answers
~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~
Answers
Answer:
b 19
Step-by-step explanation:
Answer:
the answer is 19, B.
Step-by-step explanation:
this is my first time answering a question. i hope this helps you.
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y = -3x-8
Step-by-step explanation:
how many solutions would there be for the following systems of equations
y=3x-5
6x-2y=10
Answers
Answer:
So the solution would be (1,-2). Remember you can always validate that the solution is correct by plugging it into both equations. But this is the same as the first equation, y=3x-5. Since they are the SAME line they will have infinite solutions.
Step-by-step explanation:
Write the inequality this number line represents.
Answers
Answer:
[tex]x\leq 2[/tex]
Step-by-step explanation:
Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]
Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:
[tex]x\leq 2[/tex]
-3/4 x (-12)= I need help please this is hard
Answers
Answer:
9
Step-by-step explanation:
Hope this helps and have a great day : )
Answer:
hiiioiofffffrrrrrtttttttt
What is the midpoint of (10,-5) and (2,-1)
Answers
is the simplified form of x+1/x^2+x-6 / x^2+5x+4/x+4
Answers
Answer:
1/(x - 2) (x + 4)
Step-by-step explanation:
Can somebody please tell me the answer to this
Answers
Use the proportion. What is 72% of 150
Answers
Answer:
108
Step-by-step explanation:
150x0.72=108
Step-by-step explanation:
72% of 150
=> (72/100)×150
=> 10800/100 [ Because, 72×150=10800 ]
=> 108
Thus, 72% of 150 is 108.
Hope this helps you.
Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6
Answers
X=3
Sorry if it’s wrong
3. International basketball competitions are played on a rectangular court where the length is 2x-2 and the width is x. If the perimeter of the court is 86 m. what are the dimensions of the court?
Answers
Answer:
28 m and 15 mStep-by-step explanation:
Perimeter formula is:
P = 2(l + w)Given:
l = 2x - 2 and w = xP = 86 mSubstitute and solve for x:
2(2x - 2 + x) = 863x - 2 = 43 3x = 45x = 15Then find the values of l and w:
l = 2*15 - 2 = 28 mw = 15 mAnswer:
length is 28m and width is 15m
Step-by-step explanation:
Let length = l
and width = b
According to the given condition,
l = 2b -2
Now,
Perimeter of a rectangle, P = 2(l+b)
According to question
P = 86
2(l+b) = 86
l + b = 43
2b -2 + b = 43
3b = 45
b =15
Therefore, l = 2x15 -2 = 28
So length is 28m and width is 15m
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
Answers
Answer:
May you send the picture of the provided graph number?
Step-by-step explanation:
Unable to answer without photo.
The equation [tex]y = 2x + 5[/tex] can be used to model the cost, y, that Johnny pays to use the online ordering service for his company, depending on the number of orders placed, x.
The constant term in the equation, 5, represents the fixed monthly fee Johnny has to pay regardless of the number of orders he places. The coefficient of x, 2, represents the additional cost per order. To graph this equation, we can plot points on a coordinate plane using different values of x and solve for y. Let's consider a few options: When x = 0 (no orders placed), [tex]y = 2(0) + 5 = 5[/tex] . So the point (0, 5) is on the graph. When x = 1 (one order placed), [tex]y = 2(1) + 5 = 7[/tex] . Therefore, the point (1, 7) is on the graph.
Suppose x = 3 (three orders placed), [tex]y = 2(3) + 5 = 11.[/tex] Hence, the point (3, 11) lies on the graph. Once we have a few points, we can connect them with a straight line. The graph will show that as the number of orders placed increases, the cost Johnny pays to use the online ordering service will also increase at a constant rate of $2 per order.
The line will have a positive slope and intercept the y-axis at (0, 5). In summary, the graph of the equation [tex]y = 2x + 5[/tex] represents the cost Johnny pays to use the online ordering service, with a fixed monthly fee of $5 and an additional charge of $2 per order placed.
To know more about coordinate plane visit:
https://brainly.com/question/13611766
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Two cars travel at the same speed to different destinations. Car A reaches its destination in 20 minutes. Car Breaches its destination in 38
minutes. Car B travels 8 miles farther than Car A. How fast do the cars travel?
Answers
Answer:
29mph
Step-by-step explanation: