11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)
Answers
9514 1404 393
Answer:
y = -6x +9
y = 9·(1/3)^x
Step-by-step explanation:
In each case, the y-intercept is 9.
Linear
The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...
y = mx + b . . . . . . . slope m, intercept b
y = -6x +9
Exponential
The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...
y = 9·(1/3)^x
Related Questions
George bought a car at $5000 and sold it at $5500. What benefit, in percent, did he
make?
a. 500%
b. 10%
C. 5000%
0.5%
Answers
The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.
Calculation of the percentage:Since George bought a car at $5000 and sold it at $5500
So, the profit percentage be like
[tex]= (5500 - 5000) \div 5000[/tex]
= 10%
hence, The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.
Learn more about percentage here: https://brainly.com/question/24552083
An investor has an account with stock from two different companies. Last year, her
stock in Company A was worth $800 and her stock in Company B was worth $6180.
The stock in Company A has decreased 1% since last year and the stock in Company B
has decreased 5%. What was the total percentage decrease in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
4.5%
Step-by-step explanation:
800(1-0.01)=\color{green}{792}
800(1−0.01)=792
6180(1-0.05)=\color{blue}{5871}
6180(1−0.05)=5871
Last Year This Year
Stock A 800 792
Stock B 6180 5871
Total 6980 6663
\text{Find overall decrease:}
Find overall decrease:
6980(1-r)=6663
6980(1−r)=6663
\frac{6980(1-r)}{6980}=\frac{6663}{6980}
6980
6980(1−r)
=
6980
6663
1-r=0.954585
1−r=0.954585
-r=-0.045415
−r=−0.045415
Subtract 1
r=0.045415
r=0.045415
Divide by -1
\text{Final Answer: }4.5\%
Final Answer: 4.5%
Multiply by 100 and round to nearest 10th
For the test, Ben knows that writing a poem will take him 30
minutes while writing a paragraph will only take him 10 minutes.
Ben will have 2 hours to complete the test. Which inequality best
matches the situation?
30x + 107 > 2
o 30+10y < 120
o 30% + 10% < 2
30% + 10y > 120
Answers
Answer:
30+10y < 120
Step-by-step explanation:
Which triangles are similar to AABC?
A
5
B
11
8
Answers
Mhanifa please help!! I will mark brainliest. Random answers will be reported
Answers
Answer:
[tex]\sqrt{h^2 + k^2}[/tex]Step-by-step explanation:
Point O has coordinates (0, 0) B has coordinates (h, k)C has coordinates (h, 0)Use the distance formula to find the length of OB:
OB = [tex]\sqrt{(h-0)^2 + (k-0)^2}[/tex] = [tex]\sqrt{h^2 + k^2}[/tex]
Help me please guys.
Find the measure of angle b using the law of sines.
I need to show full work to the teacher
Answers
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.
You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:
The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).
I hate useless complicated math lol ;)
2x+4x+7
i nered helpp
Answers
Answer:
6x + 7
Step-by-step explanation:
2x + 4x +7
(2 + 4)x + 7
6x + 7
Answer:
combine like terms 6x+7
Need help! What are the coordinates of point P?
Answers
Answer:
the first circle.
Step-by-step explanation:
please mark brainliest of answers correct. have a nice day!
Answer:
A) -4,3
Step-by-step explanation:
Simplify.
289
A)
17
18
C)
19
D)
20
I need help
Answers
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
have a good day bro
What is the volume, in cubic cm, of a rectangular prism with a height of 8cm, a width of 2cm, and a length of 7cm?
Please , help .
Answers
Answer:
v = A x H = LxW xH = 7cm x 2cm x 8cm =112CM^3
Answer:
112 cm³
Step-by-step explanation:
In this question, we have to find the volume of a rectangular prism.
The formula to find the volume of a rectangular prism would be: V = L × W × H
To find the volume, plug in the values and solve.
Solve:
V = 7 × 2 × 8
V = 14 × 8
V = 112
This means that the volume of the rectangular prism is 112 cm³
Remember, volume is always represented with a exponent of 3, or cubed, in the unit.
Your answer would be 112 cm³
Determine the axis of symmetry of the Quadratic equation.
A. y=2
B. X=2
C. X=0
D. y=1
Answers
OWA OWA 20 minimum word
Answer:
option B : X=2
Step-by-step explanation:
Because the line U touches on X:2
what’s the slope of (0,3) (7,-9)
Answers
Answer:
-[tex]\frac{12}{7}[/tex]
Step-by-step explanation:
y2-y1 ÷ x2-x1
-9-3 ÷ 7-0
-12 ÷ 7
(Can not be simplified any further)
Answer:
-12/7
Step-by-step explanation
[tex]\frac{Rise}{Run}[/tex]
Slope equals the change in y over the change in x.
Equation:
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Plug in values.
[tex]\frac{-9-3}{7-0}[/tex]
Answer is:
[tex]-\frac{12}{7}[/tex]
Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?
Answers
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-3+5=1 is equal to two so this is not a soulution and is not correct because 2=1 is not true
2x+4y=2
2(3)+4(5)=2
6+20=2
this is also incorrect because as we all no 26 is a very diffrenent number to two
2.12 Graded Assignment: Basic Geometric Shapes - Part 2
Answers
Answer:
ohh easy, u commin home yet
Step-by-step explanation:
dad this u?
Step-by-step explanation:
For 1A
2y + 98° = 9y + 7° < being vertically opposite angles >
9y - 2y = 98° - 7°
7y = 91°
y = 13°
For 1B
9y + 7° = 9 * 13° + 7° = 124°
2y + 98° = 2 * 13° + 98° = 124°
The angles which are unknown are also vertically opposite angles so let unknown angles be x then
124° + 124 ° + x +x = 360° { being complete turn }
248° + 2x = 360°
2x = 112°
x = 56°
so all angles are 124° , 124° , 56°, 56°
For 2A
6y - 10 + 6y + 10 = 180° ( being linear pair)
12y = 180°
y= 15°
For 2B
6y - 10 = 6 * 15 - 10 = 80°
6y + 10 = 6 * 15 + 10 = 100°
Hope it will help :)
Write 0.000 97 in standard form
Answers
Answer:
[tex]9.7 \times 10 {}^{ - 4} [/tex]
The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]
What is standard form?Standard form is a way of writing down in easy form of very large or very small numbers.
Let E is the standard form of given number
E=0.00097
E= [tex]\frac{97}{100000}[/tex]
E=97×[tex]10^{-5}[/tex]
E=[tex]9.7[/tex]×[tex]10^{-4}[/tex]
The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]
Learn more about Standard form
https://brainly.com/question/13139379
#SPJ2
hi to u famous girl !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
YEET
Step-by-step explanation:
Answer:kuktf
Step-by-step explanation:
oh;f' 'h
'd5r6sxfh;jhp
Please help ima bout to get a whooping if my mom still see's I got a c
Answers
Answer:
What do you need help with?
Step-by-step explanation:
If you roll a number cube 600 times, how many times do you expect to roll a number greater than 4?
Answers
Answer:
If it was a 6 number cube the answer would be 200
Step-by-step explanation:
Answer:
200, hope this helped.....
Cheese Or Pickles? WILL GIVE BRAINLIEST
Answers
Answer:
Pickles. My friends are allergic to cheese.
8.7, 8.9, 9.0 is the answer
Answers
Answer: Wait Huh? Please Dm Me or Respond So i Can Help, I Promise (If i Can)
Step-by-step explanation:
Pls help me ASAP I will give brainliest
Answers
Answer:
[tex]y = 40000(1.02)^8[/tex]
Step-by-step explanation:
Given
[tex]a = 40000[/tex] -- Initial population
[tex]r = 2\%[/tex] --- Rate
Required
Determine the population in 8 years
The question shows an exponential distribution and the final population will be calculated using:
[tex]y = a(1 + r)^x[/tex]
Where x is the number of years.
So, we have:
[tex]y = 40000(1 + 2\%)^8[/tex]
Convert % to decimal
[tex]y = 40000(1 + 0.02)^8[/tex]
[tex]y = 40000(1.02)^8[/tex]
(b) is correct
Write the equation of the line in slope-intercept form that has a slope of -5/2 and passes through the point (14,-39)
Answers
Answer:
Step-by-step explanation:
The equation of the line in point-slope form;
y+39 = (-5/2)(x-14)
Rearrange to solve for y:
y+39 = (-5/2)x + 35
y = (-5/2)x + 4
Which of the following can you use to find 20 percent of 48
1. 002(48)
2. 02(48)
3. 2(48)
4. 20(48)
Answers
Answer:
It's number 2
Step-by-step explanation:
20% of 48 is 9.6
WILL MARK BRAINLYIST use the figure to determine each angle measure
Answers
Answer:
1. 60 2. 65 3. 115 4. 55 5. 120 6. 60
Step-by-step explanation:
Hope it helps!
The two triangles illustrate below are similar. What are the values of x and y?
Answers
Answer:
Answer is B is the right answer
PLS HELP Will give brainliest
There are 10 coins on a table heads side up. Noah wants them all to be tails side up, but with each move, he must turn over exactly 6 coins. What is the fewest moves he can take so that he ends up with all of the coins tails side up?
Answers
The answer is 3 I dont get how but thats what the mathcounts site says.
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 8y +n + 9. Jake says that 8 is a coefficient and 9 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
Answers
A student loan needs to be paid off beginning the first year after graduation. Beginning at Year 1, there is $52,000 remaining to be paid. The graduate makes regular payments of $8,000 each year. The graph shows the sequence. f(x)=?
Answers
Answer:
The equation is: [tex]f(x) = 52000 - 8000x[/tex]
Step-by-step explanation:
Given
Initial = 52000
Rate = 8000 each year
Required
Determine the equation of the graph
The equation can be determined using.
[tex]Amount = Initial - Rate* Years[/tex]
We used minus (-) because, the amount reduces as the student pays.
Let
[tex]y = Amount[/tex]
[tex]x = Years[/tex]
So, we have:
[tex]y = Initial - Rate * x[/tex]
Substitute values for Initial and Rate
[tex]y = 52000 - 8000 * x[/tex]
[tex]y = 52000 - 8000x[/tex]
Express as a function:
[tex]f(x) = 52000 - 8000x[/tex]
while shopping for clothes jacklyn spent $38 less than 2 times what Daniel spent. Jacklyn spent $10. Write and solve an equation to find out how much daniiel spent. Let x trepresent what daniel spent.
Answers
3x−8 dollars. Since Tracy spent $10, we can write the equation:
3x-8 = 10
3x = 18
x = 16
so Daniel spent 6$
Select all tables thaf represent A proportional relationship between x and y.
A: X: 0, 1, 2, 3
Y: 3, 6, 9, 12
B: X: 2, 3, 4, 5
Y: 12, 18, 24, 30
C: X: 2, 4, 6, 9
Y: 0, 2, 4, 6
D: X: 0, 1, 2, 3
Y: 0, 2, 5, 9