Answer:
C, f(x) = 3(2)^x
Step-by-step explanation:
Since the y-intercept is 3, the function will have 3 multiplying by some number to the power of x.
As x increases by 1, we notice that y multiplies by 2 every time.
This leads us to believe that the equation is 3 * 2^x
The exponential function represented by the graph is:
[tex]f(x) = 3(2)^x[/tex]
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value, that is, the value of y when x = 0.b is the rate of change.In the graph, there is point (0,3), hence a = 3, and it also has point (1,6), hence:
[tex]6 = 3b[/tex]
[tex]b = 2[/tex]
Thus, the equation is:
[tex]f(x) = 3(2)^x[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
help asap schools almost done pls help me
Answer:
exit ticket
1.) 6+8x
2.) 18+6x^5
homework module 4 lesson 6
1.) 78
2.) 61
3.) 24
Step-by-step explanation:
Solve systems using Elimination
Answer:
y = 1.5, x = [tex]1\frac{12}{13}[/tex]
Step-by-step explanation:
The given simultaneous equation system is;
-1 - 2·y = -4...(1)
13·x + 2·y = 28...(2)
By elimination method, we have;
From equation (1);
-1 - 2·y = -4
2·y = 4 - 1 = 3
y = 3/2 = 1.5
y = 1.5
We eliminate 'y' from equation (2) by replacing the value of 'y' with 1.5 as follows;
13·x + 2·y = 28
y = 1.5
∴ 13·x + 2 × 1.5 = 28
13·x = 28 - 3 = 25
x = 25/13 = [tex]1\frac{12}{13}[/tex] = [tex]1.\overline{923076}[/tex]
x = [tex]1\frac{12}{13}[/tex]
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
1.8 is the h of the rhombus
Answer:
4.8 cm
Step-by-step explanation:
Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?
Answer:
maybe $825
Step-by-step explanation:
Im not sure but I think Its accurate
PLEASE HELP
Select the mean, median, mode and range of the following list of values.
Answer:
The median is three, the mean is 3.5, the range is 6 and there is no mode.
Step-by-step explanation:
Write a function rule that best models the data in the table.
A.
y = x + 3
B.
y = x2 + 3
C.
y = 3x + 1
Answer:
B. y= x2 + 3
Step-by-step explanation:
Guided Practice
x
y
0
3
1
4
2
7
3
12
Write a function rule that best models the data in the table.
A.
y = x + 3
B.
y = 3x + 1
C.
y = x2 + 3
Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?
Answer:
$7.07
Step-by-step explanation:
35.35/5=7.07
Please help this is due soon!!! :( Please explain with explanation and answer pls
Answer for A:
x = -56/31
Step-by-step explanation:
The total angle for a pentagon is 360°
100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360
100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360
If you copy that into a calculator you will get
360°
Answer for B:
The angle for C, rounded to the nearest tenth, is 44.9°
the population of alaska is approximately 6.5 * 10^(5) people the populatio of illinois's is about 1.3 * 10^(7)people. how many times greater is the population of Illinois in the population of Alaska
Answer:
20 times greater
Step-by-step explanation:
Given the following
Population of alaska = 6.5 * 10^(5) people
Population of illinois's = 1.3 * 10^(7)people.
To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;
Ratio = Population of illinois's /Population of alaska
Ratio = 1.3 * 10^(7)/6.5 * 10^(5)
Ratio = 0.2 * 10^7-5
Ratio = 0.2 * 10^2
Ratio = 20
Hence the population of Illinois is 20 times greater than population of alaska
round 87.48 to the underlined place.
subtract 9 from 16 as an expression pls help
Answer:
16 - 9 = x
i thonk :0
or 16 - 9 = 7
Step-by-step explanation:
plz answer this question
Tylan sent 3809 text messages in January. In February he sent 3115.
Answer:
Ummmm what’s the question?
Step-by-step explanation:
I will edit after you tell me what your question is.
Btw God bless you.have a great day!
Step-by-step explanation:
if you're asking how many text messages he sent in those two months then he sent 6924 messages.
17) HELP I have the answer I just need to show the work
Which trig ratio or formula should you use to find “c”?
Answer: B
Don’t give me the answer I already know it just show the work pls
Here
cos25°=BC/AB=8/c
c=8/cos25°
so cos function is helpful here
really a dum.beannie
Answer:
b) cos25
c = 7.248 or 7.2
Step-by-step explanation:
Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]
Cos 25 = [tex]\frac{8}{c}[/tex]
Cos of 25 is 0.906
0.906 = [tex]\frac{8}{c}[/tex]
Multiply 8 on both sides:
0.906 x 8 = [tex]\frac{8}{c}[/tex] x 8
7.248 = c
Which expression is represented on this number line?
Answer:
where's the number line??
11. Which expression is equivalent to the expression shown below?
-2x + 5(3 + 2x)
a. 8x + 15
b. 53 + 4x
C. 4x + 15
d. 8 + 5x
Plzz help ..........
Answer:
AB and CD - Parallel Lines
EF and CD - Perpendicular Lines
GH and EF - Neither Parallel nor Perpendicular Lines
Let me know if this helps!
Answer:
EF and CD ------- perpendicular lines
AB and CD --------parallel Lines
GH and EF --------- neither parallel nor perpendicular lines
Step-by-step explanation:
Parallel lines are lines that do not ever intersect
Perpendicular lines create 90 degree angles
neither is just neither
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
Solve for the given time.
A colony of 36,000 bacteria grows continuously at a rate of 12%. How many bacteria will there be in 2 years?
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12%, after 2 years there will be [tex]36000\cdot 1.12^2 = 45158.4[/tex] bacteria. Since you probably can't have part of a bacteria, you round to 45158.
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.
1.12 power of 2 = 45158.4 bacteria.
And you cant have part of a bacteria
you round it to
45158.
If 3 sacks of concrete will make 12 square feet of sidewalk, predict how many sacks of concrete are needed to make 40 square feet of sidewalk.
Answer: 10 sacks are needed to make 40 square feet of concrete.
Step-by-step explanation: Hope this helps :)
The relationship between x and y is represented by the table below. Which equation represents this
table?
Х
y
1
6
3
10
4
12.
5
14
A y = x +5
By = 2x + 4
C y = 3x + 3
D
Not Here
PLEASE HELP!! THIS IS REALLY SERIOUS!!
Answer:
A. y= - 1/2x + 20
B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)
C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline
hope this helps ;)
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 months0.01273148148 as a fraction
Answer:
How to Write 0.336 or 33.6% as a Fraction?
Decimal Fraction Percentage
0.352 44/125 35.2%
0.344 43/125 34.4%
0.336 42/125 33.6%
0.328 41/125 32.8%
Step-by-step explanation:
hope this helps
Answer:
123\1000
Step-by-step explanation:
so how do we do it so it gonna be 0.123 why because of the 7 Any number above 5 is changed to 1 significant figure
PLEASE ANSWER CORRECTLY and show your work! I will give brainliest!
Answer: The new co-ordinates of A ( 2 ,-6)
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x,y)→(x , y+d)
Vertical translation down 'd' units (x,y)→(x , y-d)
Horizontal translation right 'c' units (x,y)→(x+c , y)
Horizontal translation left 'c' units (x,y)→(x-c , y)
Reflection over x-axis (x,y) →(x , -y)
Reflection over y-axis (x,y) →(-x , y)
Given the original vertex A ( -2 ,3)
a) First reflection over x-axis ( -2 ,3) →(-2 , -3)
b) Vertical translation down '3' units so it changes (-2 , -3)→(-2 , -3-3)
(-2,-3)→(-2 ,-6)
and
c) The Horizontal translation right '4' units
now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)
Final answer:-
The new co-ordinates of A ( 2 ,-6)
The function f ( x ) = 2 x ^2 − x − 4 models the shape of a ditch. What is the average slope over the interval −4 ≤ x ≤ 2?
Answer:
[tex]Rate = -5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]-4 \le x \le 2[/tex]
Required
Determine the average slope over the given interval
This is calculated as:
[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a = -4[/tex]
[tex]b =2[/tex]
So:
[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
Solving for f(2) and f(-4), we have:
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]f(2) = 2 *2^2 -2 - 4[/tex]
[tex]f(2) = 2[/tex]
[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]
[tex]f(-4) = 2*16 +4 - 4[/tex]
[tex]f(-4) = 32[/tex]
So, the equation becomes
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
[tex]Rate= \frac{2 - 32}{6}[/tex]
[tex]Rate= \frac{-30}{6}[/tex]
[tex]Rate = -5[/tex]
Math- Lisa is buying a cover for her patio table. If the table is 5 ft on all sides, what is the area of the cover?
Answer:
25
Step-by-step explanation:
length times width
5 times 5
13. Find the measures of the numbered angles.
Answer:
8=117 7=63 9=63
Step-by-step explanation:
180-117 = 63
7 and 9 = 63
A straight line=180
Angles across from each other are the same
9 and 7 are the same, and 117 degrees and 8 are the same
I need help with please and thank you can yall help me with a thing
Answer:
2 will give you the larger value of 17
Step-by-step explanation:
Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
level. Which fish is closest to sea level? *
A: Bubbles?
B: Swimmy?
worth 25 points pls help me
Answer:
swimmy is closest to sea level