Write the function for the graph.
(1,12)
(0,3)
O A. f(x) = 3•(12)^x
O B. f(x) = 4•(3)^x
O C. f(x) = 3•(4)^x
D. f(x) = 4•(12)^x
Answer:
[tex]f(x) =3 * (4)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1, y_1) = (1,12)[/tex]
[tex](x_2, y_2) = (0,3)[/tex]
Required
The function of the graph (exponential function)
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
For [tex](x_1, y_1) = (1,12)[/tex], we have:
[tex]12 = a * b^1[/tex]
[tex]12 = a * b[/tex]
[tex]12 = a b[/tex]
For [tex](x_2, y_2) = (0,3)[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Substitute: [tex]a = 3[/tex] in [tex]12 = a b[/tex]
[tex]12 = 3 * b[/tex]
Divide both sides by 3
[tex]4 = b[/tex]
[tex]b =4[/tex]
So, we have:
[tex]f(x) = ab^x[/tex]
[tex]f(x) =3 * (4)^x[/tex]
What is an equation of the line that passes through the points (4, -1) and
(-8. – 7)?
Answer:
[tex]y = \frac{1}{2} x - 3[/tex]
Step-by-step explanation:
The equation of a line can be written in the form of y=mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the gradient formula above,
gradient of line
[tex] = \frac{ - 1 - ( - 7)}{4 - ( - 8)} [/tex]
[tex] = \frac{ - 1 + 7}{4 + 8} [/tex]
[tex] = \frac{6}{12} [/tex]
[tex] = \frac{1}{2} [/tex]
Substitute m= ½ into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= -1,
[tex] - 1 = \frac{1}{2} (4) + c[/tex]
-1= 2 +c
c= -1 -2 (-2 on both sides)
c= -3
∴ The equation of the line is y= ½x -3.
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
The answer is 15 ounces
Step-by-step explanation:
33/4 ÷ 4 pounds.
(4 × 3 + 3)/4 ÷ 4 pounds.
15/4 ÷ 4 pounds.
15/4 × 1/4 pounds.
15/16 pounds.
Now we know that, 1 pound = 16 ounces.
So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.
Thus, The answer is 15 ounces
Joe drove 80 kilometers per hour for 4 hours. How far did he go?
Step-by-step explanation:
velocity = distance/time taken
distance=velocity ×time taken
distance=80×4
distance=320kilometers
Someone please help me!!
For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.
Multiply both sides by 12 to get 2y - 1 = 7
Answer:
The first choice
Step-by-step explanation:
Multiplyil by 6 to get 4y - 1 =21
There is a bin of markers.
For every 2 red markers, there are
5 purple markers. Use the table to
represent the ratio of purple
markers to red markers.
1) Which choice best represents the height of a box of cereal? A. 30 millimeters B. 30 centimeters C. 30 kilometers D. 30 meters
Answer:
30 centimeters
SHEEEEEEEEEEEEEEEEEEEESH
plz plz plz plz help me plz it is due in 1 hour and no links plz
Answer:
It is:
B.Divide the area of the triangle by the base and multiply the result by 2.
An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method
9514 1404 393
Answer:
$1.74
Step-by-step explanation:
The ratio of the increase to this year's wage is ...
12%/112% = x/$16.24
Multiplying by $16.24, we have ...
x = $16.24(12/112) = $1.74
The dollar amount of the wage increase is $1.74.
I don’t know if the answer is 60 or 180 please help
Answer:
b = 120
Step-by-step explanation:
a & b are vertical angles and vertical angles are congruent, thus, a and b are congruent.
=> a = b, a = 120
=> b = 120
Can someone help me please
Answer:
It's 2/15
Step-by-step explanation:
please help with this
Answer:
5.5 or simply 6
Step-by-step explanation:
6 = 33
1 = x
6x = 33
x = 5.5 ~6
please help. NO LINKS.
Answer:
the answer is A
y= 1.9x + 69
y=6x
Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?
Number of pounds of type A coffee:
9514 1404 393
Answer:
32 pounds
Step-by-step explanation:
Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...
4.35a +5.80(2a) = 510.40
15.95a = 510.40 . . . . collect terms
a = 32 . . . . . . . . . . . divide by 15.95
Number of pounds of type A coffee: 32.
Tony's 1st two jumps were 11 2/3ft and 11 1/2ft. His total distance was 44ft. How many feet was his final jump?
Answer: 20.83
Step-by-step explanation: 44 - 11 2/3 - 11 1/2 = 20.83
Too Easy.
Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
Variable c is 9 less than variable w. Variable c is also 3 more than variable w. Which pair of equations best models the relationship between c and w? (5 points)
a
c = w + 9
c = w − 3
b
w = c + 9
w = c − 3
c
c = w − 9
c = w + 3
d
w = c − 9
w = 4c + 3
B is the right anwser
help!!
using quadratic formula
round to the nearest hundred
Answer:
x=-7±√97/4
Step-by-step explanation:
-7±√97
______
4
Can someone please tell me what is 19x8+80-7?
Answer:
225
Step-by-step explanation:
De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2)
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes
Answer:
ok
Step-by-step explanation:
i phone you have a great day but I don't think it will be a good pic of your face is it a good day today and tomorrow to drink seculari sec to
Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).
Answer:
Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle
Step-by-step explanation:
thank you
Evaluate m) (x) for x = -3.
=
I
m (-3) =
Select the correct answer from each drop-down menu
I need help on dis one
Answer:
B, C, and D
Step-by-step explanation:
ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer
Which is a solution to the equation 10-5y = 20?
y=2
y=4
y = 6
y = 10
Answer:
The correction answer is y = - 2
Step-by-step explanation:
10-5y=20
-5y=10
y=10/-5
y=-2
THIS IS DUE IN LIKE 5 MINUTES I WILL GIVE YOU BRAIN THING IF ITS CORRECT PLEASE HELP NO LINKS THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT
Answer:
The answer is C.
Step-by-step explanation:
to find the area you need to multiply the width times length, to find the length you need to add the c and 15 and have that mulitplied by 1/5
.
1/5(c+15)
Kind of easy giving alot points to anyone who knows
Answer:
5 hours
Step-by-step explanation:
-2,6,-18,54 find the 12th term
Answer:
354294
Step-by-step explanation:
-2,6,-18,54,-162,486,-1458,4374,-13122,39366,-118098,354294
multiply each number by -3
#3 and #4 please. How do you know a sticky note has volume and can you determine the volume of an entire stack by knowing the volume of a single sticky note
Answer:
Step-by-step explanation:
3. A single sticky note is a three-dimensional object. Meaning it has a length, width and height. Therefore, it is taking up space, and anything that takes up space has a volume. If the sticky not did not have a volume then it would not be a three-dimensional object.
4. Yes, if we knew the volume of a single sticky note, then we would simply have to multiply the volume of that individual note by the total number of sticky notes in the pile. This would give us the volume of the entire pile.
How many hours in a year?
Answer:
Here is your answer hope it helps u have a great day ahead....