Rewrite the explicit formula in function form. The identify the y
intercept of the function.
an = 9-3(n-1)
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)
A builder needed to buy one hundred fifty-four boards for his latest project. If the board he needs comes in packs of three, how many packets will he need to buy
Answer:
51.3 packets or 51 1/3 packers
Step-by-step explanation:
From the above question:
The board he needs comes in packs of three. This means
1 pack = 3 boards
Hence:
3 boards = 1 packet
154 boards = x
Cross Multiply
3x = 154
x = 154/3
x = 51.333333333 packets
Approximately = 51.3 packets or 51 1/3 packers
The builder will need to buy 51.3 packets or 51 1/3 packers
A town park has two biking trails. Marsh trail is 5 3/10 Miles long . Woodland Trail is 2 4/5 Long. How much longer is Marsh trail than woodland trail?
Answer:
3 1/5 i think srry if im wrong
Step-by-step explanation:
A small box holds 20 shirts. A large box holds 165% as many shirts as than a
small box. How many shirts does the large box hold?
Answer:
33 shirts
Step-by-step explanation:
100% of 20 = 20
65% of 20 = 13
total = 33
Please help me with this question
Step-by-step explanation:
y-intercept in the point x = 0
B) is the easiest
g(x) or y value
g(x) = 3x² + 6x -9
= 3(0)² + 6(0) -9
= 0 + 0 -9
= -9
y-intercept = (0,-9)
Please help me!!!!!!
Answer:
I am sorry but this is too difficult
Step-by-step explanation:
I recommend asking a teacher for help not to be rude
A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
There are 1,200 bacteria in a lab dish. The population decreases 10% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6.
Complete the sentence with “more quickly,” “less quickly,” or “at
the same rate.”
The population decreases [ Select ] from day 1 to day 3 than from day 4 to day 6.
The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The total number of bacteria in lab dish is 1200
The population decreases 10% per day
In first day:
10/100×1200=120
120 bacteria decreased in lab
1200-120=1080
In second day:
0.1×1080=108
1080-108=972
In third day
0.1×972=97.2
972-97.2=874.8
In fourth day
0.1×874.8=87.48
874.8-87.48=787.32
In fifth day
0.1×787.32=78.732
787.32-78.732
708.588
The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.
Hence, the population decreases more quickly from day 1 to day 3 than from day 4 to day 6.
To learn more on Percentage click:
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What is the slope of a line parallel to the line whose equation is y=3x + 4?
Answer:
The slope of any line parallel to y=3x+4 would be 3!
Step-by-step explanation:
When lines are parallel, they always have the same slope!
When lines are perpendicular, the slope would be the negative reciprocal!
I hope this helps!
The polynomial in standard form that represents the perimeter of the quadrilateral 
Answer:
3(4x-1)
Step-by-step explanation:
I hope this is correct and helpful
Given: CD = 1, and
Find the elements of D.
a
a =
-2 4 1
C = 1 0 3
- 2 3 -1
»E
a b
D= d e
19
h
f
i
b=
CE
d=
DIUIIIII
e =
f =
g=
h =
Answer:
1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.
Suggestions:
Step-by-step explanation:
1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.
Suggestions:
Answer:
a=-9
b=7
c=12
d=-5
e=4
f=7
g=3
h=-2
i=-4
Step-by-step explanation:
Don't forget to add the negative signs on a, d, h, and i
Edg 2020-2021
The scale drawing of a building measures 3 in. by 5 in. The scale is ¼ in = 2 feet. What is the area of the actual building?
Answer:
24ft. by 40ft
there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n
Answer:
The value of n is 2.
Step-by-step explanation:
The total number of people in the choir = 60
Number of women in the choir = 30
Let the number of men in the choir be represented by x, so that;
Number of women = 3x
So that;
3x = 30
x = [tex]\frac{30}{3}[/tex]
= 10
The number of men in the choir is 10.
the number of children in the choir: the number of men in the choir = n:1
number of children in the choir = 60 - (number of women + number of men)
= 60 - 40
= 20
number of children in the choir = 20
Thus,
the number of children in the choir: the number of men in the choir = 20:10
= 2:1
The value of n is 2.
Answer:
20 men in the choir and 40 children
Step-by-step explanation:
Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)
Answer:
x = 4.5, 4/7
Step-by-step explanation:
To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.
will give brainliest please help:)
Simplify:
-3-8(-5x - 1)
Answer:
5+40x
Step-by-step explanation:
I hope this helps. Best of luck.
Answer:
-11 times by -6x
Step-by-step explanation:
HELP! I’ll MARK BRAINLIEST
contestants indoor run-and-bike-a-thon run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/H and biked at an average speed of 20.2 mi/H, go in a total of 14.6 miles. Seth ran at an average speed of 10.4 mi/H and bite at an average speed of 18.8 mi/H, going a total of 17.8 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundred if necessary.
Answer:
they ran 5 and 2 and half hour
Step-by-step explanation:
they ran 5 and 2 and half hour
19. Find the measurement
HELP ME!!!! ASAP!!
Answer:
144
Plzzzzz give me Brainliest!!!!!
One solution to a quadratic equation is x = -2i
What is the other solution?
I believe it would be x=2i
:)
Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Step-by-step explanation:
Answer: -8
Step-by-step explanation:
Line n is perpendicular to the y-axis. If the line contains point (0, -4), what is the equation of line n ?
Answer:
y=0x - 4
Step-by-step explanation:
perpendicular to the y-axis means parallel to the x-axis.
that would be a horizontal line and they have no slope. so m=0
(0, -4) is the y-intercept since the y intercept is when x is zero.
b=-4
y=mx+b
y=0x - 4
Help me with math please
Answer: 464
Step-by-step explanation:
help please will mark branniest
thanks :)
Answer:
the first one is the 2 method for cpm and the second one is to seperate the other variable. the last one is say its a combination of both removing zeros and balanced sets. hope this helped :)
) What are the solutions of -1<=x-3<4 ?
Choose the definition for the function.
Answer: C
Step-by-step explanation:
Answer this please will give brainliest
Answer:
answer is 4
Step-by-step explanation:
Answer:
I can't see it well, some part of the question cut out. I suggest you to delete this question and make a new one so we can see it better, and be able to help
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)
Answer:
x>2
Step-by-step explanation:
0<7x-14
-7x<-14
x>2
hope that's right
Answer:
x > 2
Step-by-step explanation:
-x < -x+7(x-2)
0 < 7(x-2)
0 < x-2
x > 2
(edited)
express the following ratio in their simplest form 45cent: $2.25
Answer:
$1.80
Step-by-step explanation:
i had this question
Aaron invested $570 in an account paying an interest rate of 7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 8 years?
Answer:
The amount of money that would be in the account after 8 years is approximately $998
Step-by-step explanation:
The given parameters for the compound interest investment are;
The amount Aaron invested = $570
The interest rate of the investment = 7%
The mode of compounding of the interest = Continuously
The number of years the amount is invested = 8 years
For a compounded continuously interest rate, we have;
[tex]A = P \cdot e^{r \cdot t}[/tex]
Where;
A = The future value =The amount realized from the investment after the time of investment
P = The initial value = The principal amount invested
e = Euler's number = Mathematical constant
r = The interest rate = 7%
t = The time of investment = 8 years
Therefore, by substituting the known values, we have;
[tex]A = 570 \times e^{0.07 \times 8} \approx 997.883325[/tex]
The amount of money that would be in the account after 8 years to the nearest dollar = The future value of the investment = A ≈ 998
The amount of money that would be in the account after 8 years to the nearest dollar ≈ $998.
what is the equation of the line in the graph?
Answer:
y=-1x-2
Step-by-step explanation:
hope it helps ^^
Answer:
y = -x - 2
Step-by-step explanation:
Since we have a straight, linear line, the line follows the y = mx + b format
The line moves one unit down for every unit to the right, making m = 1
Since the line has a downward slope, m = -1
Since the line crosses the y-axis at -2, b = -2
Therefore, the equation is y = -1x - 2 or more simplified, y = -x - 2