PLEASE SOMEONE HELP ME ANSWER THIS !!!!
Write the equations of the linear and exponential functions that pass through the points (0, 15) and (1, 5)
Linear Equation, y = mx+b
Exponential Equation, y = a(b)^x
PLEASE ANSWER IT I HAVE AN IMAGE ATTACHED IF NEEDED !!!!
Answers
Step-by-step explanation:
Part A: Linear Equation.
One of the points is (0,15). This means 0,15 is the y intercept so b=15.We can find the slope
[tex] \frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10[/tex]
So our equation is
[tex]y = - 10x + 15[/tex]
Part B: Exponential Equation
We know that
[tex]15 = a \times b {}^{0} [/tex]
B to the zero power is 1 so
[tex]15 = a[/tex]
This means a =15. Now let find b.
[tex]5 = 15 \times b {}^{1} [/tex]
[tex] \frac{1}{3} = b[/tex]
So the equation is
[tex]y = 15( \frac{1}{3} ) {}^{x} [/tex]
Related Questions
Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
Find:(f + g)(x)
Answers
Answer:
2x^2-3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5
Combine like terms
= 2x^2-4x+4x+2-5
=2x^2-3
Answer:
2x ^ 2 - 3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x ^ 2 + 4x - 5
(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5
= 2x ^ 2 - 4x + 4x + 2 - 5
= 2x ^ 2 - 3
The dimension of a rectangle are given in base 2.The width is 10 base 2 cm and the length 11 base 2 cm.Find the perimeter
Answers
Answer:
2l+2w
2 (11) +2 (10)
22+20
42
The sampling distribution of a statistic _________. Group of answer choices gives all the values a statistic can take gives the probability of getting each value of a statistic under the assumption it had resulted due to chance alone is a probability distribution all of the options
Answers
Answer:
all of the options
Step-by-step explanation:
A sampling distribution is a probability distribution, gives the probability of getting each value and all values a statics can take. It is arrived out through a repeated sampling form of a large population. It truly exists as a population.find the missing side lengths answers are in simplest radical form with the denominator rationalized
Answers
Explanation:
For any 30-60-90 triangle, the short leg is half of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
So this means n = 10/2 = 5
Because n = 5, there's only one answer choice that fits and it's choice C.
(x+5). (x-4)-(x+2)^2+(2x+3)^2=(2x-1) (4x^2+2x-1)+18x(2x+3)
Answers
Answer:
x ≈ -0.73151
Step-by-step explanation:
A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colour twice?
Answers
Answer:
25/72
Step-by-step explanation:
P( blue) = blue / total = 4/12 = 1/3
P ( blue, blue) = 1/3 * 1/3 = 1/9
P ( red) = red / total = 5/12
P ( red, red) = 5/12 * 5/12 = 25/144
P ( green) = green /total = 3/12 =1/4
P ( green , green) = 1/4 * 1/4 = 1/16
Add these together to get
P( same colour twice) = 1/9+ 25/144 + 1/16
=16/144 + 25/144 + 9/144
=50/144
=25/72
<3 and <6 can be classified as:
a. alternate exterior angles
b. same side interior angles
c. corresponding angles
d. alternate interior angles
Answers
Answer: d. alternate interior angles
Note how the two angles are inside, or interior, of the lines L1 and L2. For me, I tend to think of such lines like train tracks. So that takes care of the "interior" portion.
As for the "alternate" portion, we can see that the angles are on either side of the transversal line T.
So that's why angles 3 and 6 are alternate interior angles.
If L1 and L2 are parallel, then angle 3 = angle 6.
Solve the system of equations using the substitution method. -x − 2y = 0 y = -8x (x, y) = ( , )
Answers
Answer:
[tex] = { \tt{(0, \: 0)}}[/tex]
Step-by-step explanation:
Let:
[tex]{ \bf{ - x - 2y = 0 - - - (a)}} \\ { \bf{y = - 8x - - - (b)}}[/tex]
Substitute for y in equation (b) to equation (a):
[tex]{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}[/tex]
Also, y = 0
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answers
x+y=12
2x+3y=29
Multiply equation 1 by 2
So it will be
2x+2y=24
Subtract eq 1 from eq 2
2x+3y=29
2x+2y=24
—————-
Y =5
Put value of y in eq 1
2x+2y=24
2x +10= 24
2x= 24-10
2x= 14
x=14/2
x=7
S.S= (7,5)
Explanation: I would use the substitution method for this system
because one of the variables, x, is already isolated in the first equation.
Since our first equation states that x = 12 - y, 12 - y can be substituted
in for x in the second equation which becomes 2(12 - y) + 3y = 29.
Now we can solve this equation by first distributing the 2
through the parentheses to get 24 - 2y + 3y = 29 and you
should be able to easily finish solving from here to get y = 5.
Now substitute a 5 back in for the first equation to get
x = 12 - (5) or x = 7 which means that our solution is (7, 5).
Someone please help me find y if you don’t mind Thankyouu so much
Answers
Answer:
Step-by-step explanation:
Decreasing rate = 12% = 0.12
y = 2400 * (1- 0.12)^x = 2400*(0.88)^x
x = 8 years
[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]
Please solve this question
Answers
Answer:
Step-by-step explanation:
Answered by Gauthmath
Step-by-step explanation:
Is great than eit6of the measure of the interior angles
1) What is the common difference of the arithmetic sequence 5, 8, 11, 14?
Answers
Answer:
The common difference of the sequence 5,8,11,14 is 3.
Answer:
the answer is 3
Step-by-step explanation:
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.
which inequality is represented on the number line shown?
Answers
Answer:
A
Step-by-step explanation:
b/ of shaded region can make to closed inequality & it's not closed to make open inequality.
(4x-5y) is subtracted from (-10x-y)
Answers
Answer:
-14x+4y
this is the correct answer.
Many track hurdlers believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track hurdlers in the different starting positions. Find the critical value to test the claim that the probabilities of winning are the same in the different positions. Use 0.05. The results are based on 240 wins.
Answers
Answer:
χ² = 6.75
χ² Critical = 11.07
Step-by-step explanation:
Given the data :
Expected winnings ;
1/n * total number of wins
Total number of wins = 240
n = number of starting positions = 6
Expected winnings = 1/6 * 240 = 40
Using χ² test :
χ² = Σ(O - E)² / E
O = Observed ; E = Expected
χ² = (32 - 40)^2 / 40 + (33 - 40)^2 / 40 + (45 - 40)^2 / 40 + (44 - 40)^2 / 40 + (50 - 40)^2 / 40 + (36 - 40)^2 / 40
= 6.75
χ² Critical at α = 0.05 ; df = n - 1 ; df = 5
χ² Critical = 11.07
Since χ² < χ² Critical ; WE fail to reject H0.
Helpppp and explain pls and ty
Answers
Step-by-step explanation:
2 gallons are needed for 10 galloms of lemonade
I need help please!!!!
Answers
M(t) = 300(1/2)^(31/24) = 122.5
Which form of payment can you lose and NOT get your money back?
Answers
Answer: Tax?
(I'm just here bc I need 20 words to soobmit)
Answer:
its cash
Step-by-step explanation:
One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.
Answers
Answer:
5/27 ft²
Step-by-step explanation:
a = 1/3
b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3
the area of the rectangle is a×b
Ar = 1/3 × 5/9 = 5/27 ft²
Samantha’s hockey team is fundraising for a trip to Europe! They are aerating lawns to raise money. Aerating lawns is a great service for homeowners because it helps the grass grow new roots and absorb water producing healthier lawns! The team has decided to charge $35/lawn for city sized lots. The rental cost for two aerating machines is $215. Samantha’s team has planned a Saturday to aerate!
Write an equation to relate the fund raised, R, in dollars to the number of lawns, l, aerated during the day.
Samantha’s team was able to aerate 26 lawns in one day! How much money did they raise?
How much money would the team lose if they were unable to aerate due to weather conditions? Is there any possible way they could avoid this potential loss?
Answers
Answer:
R = 35l-215
Step-by-step explanation:
total amount they earn = 35l
however, to account for the money used to rent the machines, we have to deduct 215 from the total cost.
hence,
R= 35l-215
total amount they raised = 35(26)-215 = $695
they would lose $215 if they were unable to aerate due to weather conditions
they could avoid this potential loss by checking the weather report before renting the machines
Solve for . Round to the nearest tenth of a degree, if necessary.
3.9
2.2
Answer: 2 =
Submit Answer
attempt 1 out of 2
PLSSS HELp
Answers
Answer:
x = 60.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 3.9/ 2.2
Taking the inverse tan of each side
tan ^-1 (tan x )= tan ^-1(3.9/ 2.2)
x=60.57254
To the nearest tenth
x = 60.6
URGENT+Brainliest. Convert r=2sin(2theta) into rectangular cords.
Answers
Answer:
try 14n
Step-by-step explanation:
Answer:
[tex]r \: = 2sin2 \theta \\ = > r = 2.2sin\theta.cos\theta \\ = > r = 4sin\theta.cos\theta \: \\ \\ \sf \: we \: know \: that \: \\ x = r \: cos\theta \: \therefore \: cos\theta = \frac{x}{r} \\ \\ y = r \: sin\theta \: \therefore \: sin\theta = \frac{y}{r} \\ \\ \sf \: now \\ \\ r = 4 \times \frac{y}{r} \times \frac{x}{r} \\ = > {r}^{3 } = 4xy \\ \\ \sf \: again \: \: r = \sqrt{ {x}^{2} + {y}^{2} } \\ \\ = > {( \sqrt{ {x}^{2} + {y}^{2} } })^{3} = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{ \frac{3}{2} } = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{3} = 16 {x}^{2} {y}^{2} [/tex]
Please mark me as Brainliest
square root by prime factorisation method of 324
Answers
Step-by-step explanation:
find the square root
√324
=18
if the probability of winning the netball game is 0.7, what is the probability of not winning the game?
Answers
Just like any simple addition 93 + 7 Is 100 right? so Imagine 99.3 + 0.7 = 100%
Answer:
99.3
The bill before tax at a restaurant is $32, and the sales tax is 10%. You decide to leave a 15% tip based on the pre-tax amount. What will be the amount of the total bill, including tax and tip?
Answers
Bill before tax = $32
Tax = 10/100×32
= $3.2
Tip = 15/100×32
= $4.8
Total cost = 32 + 3.2 + 4.8
= $40
Answered by Gauthmath must click thanks and mark brainliest
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answers
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answers
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.
Answers
Answer:
98 ppl voted for Gordan
Step-by-step explanation:
a) 35% of 280=98
b) 15% of 280=42
40% of 280=112
10% of 280=28
Add 98, 42, 112, and 28 and you get 280! Hope this helps :)
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answers
Answer:
Yes
Step-by-step explanation:
First, we know that 40 minutes = 8 gallons filled up. We have another equation, v=2.5t, that includes time and volume. If we can make the first equation in terms of time, we can figure out the relative speeds of water entering/exiting the bathtub.
To make 40 minutes = 8 gallons in terms of t, or minutes, we can divide both sides by 8 to get
5 minutes = 1 gallon
5t = v
Therefore, for water entering the tub, we get
5t = v, and for water draining out, we get
2.5t = v
As the time is always positive, the water entering the tub (5t) will always be greater than the water exiting the tub. Therefore, as more water goes in than out, the tub will gradually increase in water level and will eventually overflow
(10^2+8^2+6^2+4^2+2^2)- (9^2+7^2+5^2+3^2+1^2)
Answers
55
you know you can just use a calculator or a search engine for that, right?
Answer:
i got 69 it should be right
Step-by-step explanation:
