Answer:
Both functions are increasing on all intervals of x: True
Both functions have the same y intercept: True
Both functions approach the same value as x approaches infinity: True
Both functions approach negative infinity as x approaches negative infinity: True.
The functions have the same x intercept: False, they have no x intercept.
Step-by-step explanation:
f(x) is stated to be an exponetial function, hence
[tex]f(x)=ab^{x}[/tex]
f(0) is given as -12, so
-12=a
f(1) is given as -4, so
-4=-12b
b=1/3
This implies that
[tex]f(x)=-12(\frac{1}{3})^{x}[/tex]
g(x) is stated to be
[tex]g(x)=-12(\frac{1}{3})^{x}[/tex]
Conclusion: the functions are identical.
Answer:
so the answers are
the functions have the same y-intercept
both functions approach negative infinity as x approaches infinity
both functions are increasing on all intervals of x
11 is the quotient of a number y and 6.
Answer:
y = 66
Step-by-step explanation:
11 = y/6
11*6 = y
66 = y
Let n(x) = x2+2,
Find x, given n(x) = 83
Answer:
answer is 0
Step-by-step explanation:
A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall The nature center's caretaker filled 4/5 f the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain or show your reasoning
Answer:
They had 20 of them
Step-by-step explanation:
sorry if its wrong
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi? m less-than-or-equal-to 17 m greater-than-or-equal-to 17 m less-than-or-equal-to 20.3 m greater-than-or-equal-to 20.3
Answer: 17 miles
Step-by-step explanation:
The total cost of the taxi service is the flat free and the total amount that is based on the distance. Let x be this distance. The equation that would best represent the situation is,
1.25 + 0.75x = 14
Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 mile
If Henri has $14.00, the number of miles he can afford to ride in the taxi is 17 miles.
Option (B) is correct.
What is a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
The equation for this situation is as follows:
The taxi service charges a flat fee of $1.25 and $0.75 per mile.
Hence,
let
x = number of miles
y = 0.75x + 1.25
where
y = $14
14 - 1.25 = 0.75x
12.75 = 0.75x
Therefore,
x = 12.75 / 0.75
x= 17
Therefore, the number of miles he can afford is 17 miles.
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A certain insect can beat its wings 180 times per
I need help 6x-2y=10 x-2y=-5 solve by elimination
[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]
Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]
There as we can get rid of the y-term by adding both equations.
[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
Answer Check by substituting both x and y values in both equations.First Equation
[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Second Equation
[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
Answer[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]
Which expression is equivalent to 7z + 7z?
Answer:
[tex]14z[/tex]
Step-by-step explanation:
Since these are like-terms, they can be added together.
7z + 7z = 14z
Sunita is buying some fabric. The total yardage of the fabrics is about 13 yards. Which sum is about 13?
Answer:
13*3=39ft (if thats what ur looking for)
Step-by-step explanation:
The school district does not have to pay the 8% sales tax on the $2992.50 purchase. Find the amount of sales tax distric saved on the 2992.50 purchase
Answer:
239.4
Step-by-step explanation:
8 x 2992.50/100 = 239.4
HELP PLEASE i need it asappppp
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?
Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x [tex]1.025^n[/tex], where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100
if 13 sin ¶=5. [here,¶ means theta]
then the
value of
tan¶=
Step-by-step explanation:
Given
13 sin θ = 5
sin θ = 5/13 = p/h
p = 5 , h = 13 and b = ?
By using Pythagoras theorem
b = √ h² - p²
= √ 13² - 5²
= √144
b = 12
Now
tan θ
= p / b
= 5 / 12
Hope it will help :)
A recipe for brownies calls for 4 cups of flour to 6 cups of sugar.
How many cups of sugar, per cup of flour, does the recipe require?
Enter your answer in the box provided as an improper fraction.
Answer:
i dont know the answer sorry
Step-by-step explanation:
can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow
Answer: Your answer is (C) 6/14
Step-by-step explanation: Have a brilliant day mate - Lily ^-^
$145 pair of UGGs, 25% discount, 6% sales tax final price
I NEED HELP ASAP!! (Grade 7)
Use the following figure to answer the question.
1
2
If _1 and 2 are equal, then lines /and mare parallel.
True
False
Answer:
true
Step-by-step explanation:
because angle 1 and 2 can only be equal if the lines are parallel
I need help on this problem for 50 points 3000x9000
Answer:
The answer is 27,000,000
Change 3 5/8 into an improper fraction.
Answer:
The improper fraction 29/8 is equal to the mixed number 3 5/8.
Step-by-step explanation:
The fractions is solved and the improper fraction is A = 29/8
Given data ,
To change 3 5/8 into an improper fraction, we need to combine the whole number and the fraction part.
The fraction part, 5/8, can be expressed as an improper fraction by multiplying the whole number, 3, by the denominator of the fraction, 8, and then adding the numerator, 5. This gives us:
3 * 8 + 5 = 24 + 5 = 29
The denominator remains the same, so the improper fraction is:
A = 29/8
Therefore , the value of A = 29/8
Hence , 3 5/8 can be expressed as the improper fraction 29/8
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ANSWER QUICK PLS ANSWER QUICK PLS
Pls answer all questions
Answer:
this is the closest i can get to the answer
1. 0.33/1 = 0.33
2. how much it costs per ounce
3. it represents the facts that it costs 0.33 per ounce
4. y=0.33x+0.33
sorry if it's wrong
suppose you have 8 pairs of pants, 8 shirts and 7 pairs of shoes how many different outfits can you wear assuming you take one of each?
Answer:
Step-by-step explanation:
8(8)7=448 different outfit combinations
John was adding Rational Numbers. He showed his work below. What was John's error?
Explain to John how to solve it correctly.
Adding Rational Numbers Error.
Answer:
-5 3/5
Step-by-step explanation:
John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so
(-7 4/5) + (2 1/5), convert to improper fractions
-39/5 + 11/5, both fractions have common denominator so we can continue
-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions
-28/5 = (-25/5) + (-3/5) = -5 3/5
of
5
What is
Domain
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
Step-by-step explanation:
(hope this helps :P)
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=−5 is a straight line perpendicular to the y-axis at point (0,−5), which means that the range is a set of one value {−5}.
Socks cost $5 per pair.
The expression 5p
represents the cost in dollars of p pairs of
socks. Why must o be a whole number?
Answer:
because there is no cents, so its a whole number, and it will help if u put the answer choices
Step-by-step explanation:
Answer:
the whole number is 5 , but I don't understand what the question is ... "if one pair of socks cost 5 dollars, how much would however pairs of socks cost" . is that what the question says ?
Step-by-step explanation:
Question 1
Use the following information to answer the question.
A laundry basket has 24 t-shirts in it. Four are navy,
12 are red, and the remaining are white.
1 point
1. What is the probability of randomly selecting a red shirt
Answer:
The probability is 1/2.
Step-by-step explanation:
There are 24 T-shirts in total and 12 is half of 24, the probability is 1/2.
I'm not sure about answer...
The probability of randomly selecting a red shirt is 50%.
Step-by-step explanation:
To figure this out, separate the total number of shirts into fractions based on the color. So for example, it would look something like this: Navy shirts are 4/24, Red shirts are 12/24, and White shirts are 8/24. The probability for each of the colors would be; Navy-16.666 percent, Red-50 percent, White-33.333 percent. Since we are only looking for the probability of selecting a Red shirt, the probability would be 50%.
Is 1 greater than, less than, or equal to 8/10?
Answer:
Greater than ( > )
Step-by-step explanation:
Answer:
Greater than
Step-by-step explanation
1 is greater than 0.8
Please please please help me please
Answer:
Each term is a sum of the two previous terms like the fibonacci sequence, but the sum of the two starting terms of the lucas sequence is followed by 2 then 1, rather than 0 then 1 for the fibannaci sequence.
These are integer sequences.
The sum of the two previous terms can be represented by:
fn = fn-1 + fn-2.
These numbers can be obtained by adding the previous corresponding term of the fibonacci sequence by the next corresponding term to get the corresponding number of the lucas sequence.
Ln = { 2 if n = 0
1 if n = 1
Ln-1 + Ln-2 if n > 1
________________
Fn+1 + Fn-1 = Ln
___________________
f(0) = -1
f(1) = 2, f(2) = 1, f(3) = 3, f(4) = 4, f(5) = 7, f(6) = 11
________________________________
f(12) = 199
________
f(12) = f(11) + f(10) = (f(10) + f(9)) + (f(9) + f(8)) = .....
given f(n) = f(n-1) + f(n-2)
____________________
f(12) = f(1) + f(2) = f(2) + f(3) = f(3) + f(4) =
f(4) + f(5) = f(5) + f(6) = f(6) + f(7) =
f(7) + f(8) = f(8) + f(9) = f(9) + f(10) =
f(10) + f(11) = f(12) →
f(12) = 2 + 1 = 1 + [3] = 3 + [4] = 4 + [7] =
7 + [11] = 11 + [18] = 18 + [29] = 29 + [47] =
47 + [76] = 76 + [123] = 199
_____________________
Explicit formula
for n is an integer.
Nth term of the lucas sequence.
As you can see, the golden ratio
( 1 + √5 / 2) appears in here.
L(n) = ((1 + √5) / 2)ⁿ⁻¹ + ((1 – √5) / 2)ⁿ⁻¹
Give the area of land 25m wide and 50m long
The area of the land is 1250 square meters.
What is the area of the rectangle?
To find the area of a rectangle, we multiply the length by the width.
So the formula for finding the area of the rectangle is
Area = Length * Width
In this case, the land is 25 meters wide and 50 meters long, so the area is:
Area = length × width
Area = 50 m × 25 m
Area = 1250 m²
Hence, the area of the land is 1250 square meters.
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Simplify -4 + (-3) + 6.
Answer:
-1
Step-by-step explanation:
that's the answer..... use calculator or phtomath
can 2x-15 be factored
Collectively, what are the interest costs and other fees for using a credit card called? A. balance B. credit line C. finance charge Reset Next
The correct answer is C. Finance charge
Explanation:
A credit card is a service offered by financial entities such as banks that allows customers to buy goods and pay them later. This implies the customer does not immediately for goods but pays for these after a specific time. The use of this benefit implies related costs such as fees for the use of the credit card, and interest costs (money charged for borrowing the money from the bank), which are known as finance charge or the money charged for the benefit of using credit. According to this, the correct answer is C.