Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
x 2 3 4
f(x) 5.5 7 8.5
x 0 3 6
f(x) 1 8 64
Using function concepts, it is found that:
The first function is linear.The second function is exponential.If the absolute value of the change is always the same, it is linear. If the rate is the same, it is exponential.In the first function:
[tex]8.5 - 7 = 7 - 5.5[/tex]
Absolute value always the same, hence linear.
In the second function:
[tex]\frac{64}{8} = \frac{8}{1}[/tex]
Rate always the same, hence exponential.
A similar problem is given at https://brainly.com/question/24282972
Which equation supports the given conjecture?
The difference of two odd numbers is an even number.
A.
23 – 19 = 4
B.
16 – 10 = 6
C.
17 – 12 = 5
D.
3 + 5 = 8
What is the justification for each step in solving the inequality? -5(4x+6<-18x+6+4x
Determine the correct scientific notation form of the number. 60,700,000,000
4 times a number added to -5 is the same as the sum of twice the number and 11. What is the number?
Simplify.
43 · 44 / 49
A) 4^16
B) 4^2
C) 1/4^2
D) 1/4
Answer: The correct option is C.
Explanation:
The given expression is,
[tex]\frac{4^3.4^4}{4^9}[/tex]
Using the exponent rule [tex]a^m.a^n=a^{m+n}[/tex] , we get,
[tex]\frac{4^{3+4}}{4^9}[/tex]
[tex]\frac{4^{7}}{4^9}[/tex]
Using the exponent rule [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] , we get,
[tex]{4^{7-9}}[/tex]
[tex]4^{-2}[/tex]
Using the exponent rule [tex]\frac{1}{a^n}=a^{-n}[/tex] , we get,
[tex]4^{-2}}=\frac{1}{4^2}[/tex]
Therefore, the option C is correct.
A)What is the difference between the highest elevation in Alabama and lowest elevation in Louisiana?
B) find the difference between the lowest elevation in New Mexico and the lowest elevation in California.
C) find the difference between the highest elevation in florida and the lowest elevation in California?
D) what is the Difference between the lowest elevation in Alabama and the lowest elevation in Louisiana?
Plzzzz help me
Plz :(:
Answer:
Part (A) the difference is 2,415 feet.
Part (B) the difference is 3,124 feet.
Part (C) the difference is 627 feet.
Part (D) the difference is 8 feet.
Step-by-step explanation:
Consider the provided table:
Part (A) The difference between the highest elevation in Alabama and lowest elevation in Louisiana.
highest elevation in Alabama is 2,407 and Lowest elevation in Louisiana is –8
Subtract the lowest elevation in Louisiana from the highest elevation in Alabama as shown:
2,407 – (–8 )= 2,407 + 8 = 2,415
So, the difference is 2,415 feet.
Part (B) the difference between the lowest elevation in New Mexico and the lowest elevation in California.
Lowest elevation in New Mexico is 2,842 and the lowest elevation in California is –282.
Subtract the lowest elevation in California from the lowest elevation in New
Mexico as shown.
2,842 – (–282) = 2,842 + 282 = 3,124
So, the difference is 3,124 feet.
C) The difference between the highest elevation in Florida and the lowest elevation in California.
Highest elevation in Florida is 345 and the lowest elevation in California is –282.
Subtract the lowest elevation in California from the highest elevation in Florida as shown.
345 – (–282) = 345 + 282 = 627
So, the difference is 627 feet.
Part (D) The Difference between the lowest elevation in Alabama and the lowest elevation in Louisiana.
Lowest elevation in Alabama is 0 and the lowest elevation in Louisiana is –8.
Subtract the lowest elevation in Louisiana from the lowest elevation in Alabama.
0 – (–8) = 0 = 8
So, the difference is 8 feet.
Which figure does not appear to be congruent to this one?
Answer:
Choice C is the correct one.Step-by-step explanation:
In the image you can observe that the third choice doesn't appear to be congruent to the given one, beacuse it's smaller.
On the other hand, choice A, B and D, have figures that apparently are the same size and shape to the given one, they were just rotated, which is a rigid transformtion, that is, they just move, their size or shape doesn't shape.
Therefore, the right answer is C figure.
When solving negative one over three (x − 15) = −4, what is the correct sequence of operations?
Multiply each side by negative one over three , subtract 15 from each side
Multiply each side by −3, add 15 to each side
Multiply each side by negative one over three , add 15 to each side
Multiply each side by 3, subtract 15 from each side
write 19/25 as a decimal fist person to answer the question correctly is going to be the brainliest
How do I solve this?
Simplify each of the following expressions to find the length of the tightrope.
a) 5+2+8
b) 7+3+2+(-4)
c) 4+9+3
d) 8+6+2+(-5)
Rewrite as a simplified fraction 1.1 3 =?
The requried 1.1 3 can be written as a simplified fraction of 44/333.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.
Here,
To rewrite 1.1 3 as a simplified fraction, we can first recognize that the repeating decimal can be represented as a fraction using a geometric series.
Let x = 0.133. Then, we can multiply both sides of this equation by 1000 to obtain
1000x = 133.333...
Next, we can subtract x from 1000x to obtain
999x = 133.333... - 0.133...
Simplifying the right side gives
999x = 133.2
Finally, dividing both sides by 999 gives
x = 133.2 / 999 = 44 / 333
Therefore, 1.1 3 can be written as a simplified fraction of 44/333.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
if a piece of ribbon is 6 1/4 feet long ,how long is it in inches
the answer is 75 inches.
4ax+by=3 , 6ax+5by=8
A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate. How many cupcakes can the baker decorate per minute?
Yi and Sue play a game. They start with the number $42000$. Yi divides by a prime number, then passes the quotient to Sue. Then Sue divides this quotient by a prime number and passes the result back to Yi, and they continue taking turns in this way.
For example, Yi could start by dividing $42000$ by $3$. In this case, he would pass Sue the number $14000$. Then Sue could divide by $7$ and pass Yi the number $2000$, and so on.
The players are not allowed to produce a quotient that isn't an integer. Eventually, someone is forced to produce a quotient of $1$, and that player loses. For example, if a player receives the number $3$, then the only prime number (s)he can possibly divide by is $3$, and this forces that player to lose.
Who must win this game, and why?
Answer:
The first person starting will always lose.
Step-by-step explanation:
First, I will the prime factorization of 42000. After finding the prime factorization of 42000, I will count the number of primes in the prime factorization. After that, we will find which round the person will lose.
Prime Factorization of 42000: 2*2*2*2*3*5*5*5*7
Number of Primes in List: 9
The person losing: The person on the 9th turn will lose.
The person on the 9th turn is Yi. Therefore, no matter how Yi or Sue keeps mixing the order of the numbers, Yi will always lose.
I hope this helps!
What is 0.27% as a decimal
Fred had $165 dollars to get a shirt ,he got a 15% discount and and additional sales tax of 7,5%.what's his total?
Please help me on this one I’m stuck
Which word in the sentence is an intensive pronoun?
Ned himself finished the jigsaw puzzle that he and his sister had started.
A.
he
B.
himself
C.
his
D.
that
Answer:
b. Himself
Step-by-step explanation:
Lena is going to cover her entire garden with topsoil. The garden is 36 feet long by 22 feet wide. A bag of topsoil costs $3 and covers 300 square feet of area. How much will the topsoil for Lena's garden cost?
S = 6ab + 4a^3
Make b the subject of the formula
Two planes leave airport at the same time, one traveling south and one traveling west. If three hours later they are 500 miles apart and the plane flying south has traveled 200 miles farther, how far did the one flying west travel?
I am asking the same question again in the hope of finding a more detailed answer. Explain why the two figures below are not similar.
At the beginning of the year, Adrian's savings account balance was $28. Each week, he deposits another $15 into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?
Answer:
The given condition is not proportional.
Step-by-step explanation:
At the beginning of the year, Adrian's savings account balance was $28.
Let Adrian invests for 'x' weeks.
So, total amount will becomes :
[tex]28+15x[/tex]
Since 4 weeks = 1 month, it will represent a linear equation only.
Linear functions have a constant rate of change and describe a straight line on a graph. So, this is not proportional.
The given equation is in the form y = mx + b, so its linear. For the equation to be proportional, it should be in the form of y = kx.
At the ice cream shop there are 14 shakes sold for every 6 malts. What is the ratio of malts to shakes?
The weight of an elephant is 1000 times the weight of a cat. If the elephant weighs 14,000 pounds how many pounds does the cat weigh
Karen runs a print shop that makes posters for large companies. It is a very competitive business. The market price is currently $1.00 per poster. She has fixed costs of $250.00. Her variable costs are $1,500 for the first thousand posters, $1,200 for the second thousand, and then $800 for each additional thousand posters.What is her AFC per poster if she prints 1,000 posters? What is her AVC and ATC?
what is 0.167 in a fraction