Answer:
exponential growth
Step-by-step explanation:
The function type is identified by where the variables are, and what their exponents are.
Variable in the exponentWhen the variable is in the exponent of an expression, the function is called an exponential function.
BaseWhen the base of an exponential function has a magnitude greater than 1, the function is a growth function. When it is less than 1, the function is a decay function.
Here, the base is 4, which is greater than 1.
The function is an exponential growth function.
PLEASE HELP!!!!!!!!!!!!
Which number(s) below belong to the solution set of the inequality? Check all that apply.
“5x>145”
A. 55
B. 31
C. 10
D. 8
E. 11
F. 29
x > 29 so,
A. 55
B. 31
Answer:
A.55
B.31
F.29
Step-by-step explanation:
5y = 135 help me
what does y equal?
Answer:
27
Step-by-step explanation:
Solve for y:
5 y = 135
Divide both sides of 5 y = 135 by 5:
(5 y)/5 = 135/5
5/5 = 1:
y = 135/5
The gcd of 135 and 5 is 5, so 135/5 = (5×27)/(5×1) = 5/5×27 = 27:
Answer: y = 27
Answer:
y = 27
Step-by-step explanation:
Divide both sides of the equation by 5.
[tex]\frac{5y}{5}[/tex] = [tex]\frac{135}{5}[/tex]
[tex]y = 27[/tex]
To check if this is true, substitute 27 back into the original equation.
[tex]5y=135[/tex]
[tex]5(27)=135[/tex]
[tex]135=135[/tex]
help me thank u For this question, any non-integer answers should be entered as decimals, rounded to the hundredths place.
Consider this data set.
Answer:
Mean 22.1
% = 53.33
Step-by-step explanation:
The total of all 15 numbers is 331.5The mean is 331.5/ 15 = 22.10 to the hundredths place.There are 8 numbers of the 15 that are less than 22.10. The % is8/15 * 100 = 53.333 % I'm not sure what that should be rounded to. If it is the nearest hundredth then it is 53.33%how many points of intersection are there between line A and line B if they contain points listed?
Line A: (-4,9) and (0,-3)
Line B: (4, -9) and (0, 3)
a. zero
b. one
c. two
d. infinite
Answer:
Zero
Step-by-step explanation : If you plot the points on a graph, you would notice they have the same slope but different y intercepts. This means they are Parallel lines and have no slope (Or Zero slope). Hope this helps!
The lines are parallel and will never intersect, so the answer is zero points of intersection.
Explanation:First, we can determine the slopes of the two lines. Line A has a slope of (change in y)/(change in x) = (-3 - 9)/(0 - (-4)) = -12/4 = -3. Line B has a slope of (3 - (-9))/(0 - 4) = 12/(-4) = -3. Since the slopes are equal, the lines are parallel and will never intersect. Therefore, the answer is a. zero points of intersection.
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Please answer quickly
Consider the function f(x)=−2/3x+5 .
What is f(−1/2) ?
Enter your answer as a simplified fraction.
Answer:
[tex]\frac{16}{3}[/tex]
Step-by-step explanation:
To evaluate substitute x = - [tex]\frac{1}{2}[/tex] into f(x)
f( - [tex]\frac{1}{2}[/tex])
= - [tex]\frac{2}{3}[/tex] × - [tex]\frac{1}{2}[/tex] + 5
= [tex]\frac{1}{3}[/tex] + 5
= [tex]\frac{1}{3}[/tex] + [tex]\frac{15}{3}[/tex] = [tex]\frac{16}{3}[/tex]
How many numbers between 1 and 100 (inclusive) are divisible by 3 and 4?
Answer:
For the number 3 there are 33 numbers divisible by 3 from 1 to 100. If you want the number divisible by both 3 and 4 it is 58 . 58 - 8 = 50 numbers by 3 or 4. Hope I helped
The volume of a small packing box is "3x2 + 3x" in3 smaller than a large packing box with a volume of "5x2 − 2x + 10" in3. Find a single expression that represents the size of a small packing box. A) 2x2 − 2x + 10 B) 2x2 − 5x + 10 C) 8x2 − 5x + 10 D) 8x2 + x + 10
Answer:
B
Step-by-step explanation:
subtract the volume of the small box from the large box, that is
5x² - 2x + 10 - (3x² + 3x)
= 5x² - 2x + 10 - 3x² - 3x ( collect like terms )
= 2x² - 5x + 10 → B
The answer is:
B. (5x2 − 2x + 10) − (3x2 + 3x) = 2x2 − 5x + 10)
In an experiment, a student randomly chooses an answer to two multiple-choice questions. The first question has 4 answers to choose from, and the second question has 5 answers to choose from. How many outcomes are in the sample space? Enter your answer in the box.
Answer:
20
Step-by-step explanation:
Since you have 2 different questions to gather outcomes from, you multiply the amount of choices each has. Obviously, 4 * 5 = 20 so the answer is 20.
Using it's concept, it is found that there are 20 outcomes in the sample space.
The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the first question, there are 4 possible outcomes.For the second question, there are 5 possible outcomes.The outcomes in the first question are independent of the outcomes in the second question, hence there are 4 x 5 = 20 outcomes in the sample space.
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square root 22 times square root 55
Answer:
The answer rounded would be 34.79
Step-by-step explanation:
The full answer is 34.78505426185217265198782898876
Answer:
11√10
Step-by-step explanation:
square root 22 times square root 55
= √22 * √55
= √(22 * 55)
= √1210
= √(121) * (10)
= 11√10
What could be the next statement that Ivan makes his proof?
Answer: Choice A) Triangle ABC is similar to triangle ACD by AA
AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".
For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.
We can't use AAS because we don't know any information about the sides of the triangle.
True or false? Is the ordered pair a solution to:
I want to help you but i get stuck every time i try doing your problem you might wanna try photo math its an app you can download that helps you with your math problems.
if D is the midpoint of line AC, C is the midpoint of line AB, and BD=12, what is the length of line AB
Look at the picture.
x + 2x = 12
3x = 12 divide both sides by 3
x = 4
AB = 12 + x
therefore AB = 12 + 4 = 16
Answer: AB = 16.I'm really confused on this one... plz help me!
~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~
Consider the situation where the Robinson family is driving home from visiting their relatives The table driving a certain amount of time, x shows how many miles, y, remain after Use the table, choose all that are correct.
A) The function that models the situation is y- 325 25x
B) The function that models the situation is y- 350-50x
C) The rate of change defined by the function is 50
D) The initial value defined by the function is 350
Answer: Choice B and choice D
The function that models the situation is y = 350 - 50x
The initial value defined by the function is 350
====================================================
Explanation:
Each time you increment (increase) x by 1/2 = 0.5 an hour, the y value drops by 25. So this means that each increase of 1 full hour means y drops by 50. The rate of change is -50, not positive 50, so this rules out choice C (which is fairly close but not quite there)
The initial value is 350 because we go backwards on the table. If x decreases by 0.5 hr, then y increases by 25 miles. So we add 25 to the y value in the first row to get 325+25 = 350 as our starting value. This is how far it is from the Robinson home to their relatives' house, which is why choice D is one of the answers.
The other answer is choice B because m = -50 is the slope or rate of change, and b = 350 is the starting value (y intercept), so y = mx+b turns into y = -50x+350 and that's equivalent to y = 350 - 50x. All I did was swap the values since we can add in any order. Because choice B is the proper function, this rules out choice A as an answer.
The function that models the situation is y = 350 - 50x. The rate of change defined by the function is 50. The initial value defined by the function is 350.
Explanation:The function that models the situation is y = 350 - 50x.
B) The function that models the situation is y = 350 - 50x.
C) The rate of change defined by the function is 50.
D) The initial value defined by the function is 350.
To determine the function that models the situation, we can use the table provided.
The table represents the relationship between the amount of time, x, and the remaining distance, y, after driving for that amount of time.
Since the remaining distance decreases as the amount of time increases, we can conclude that the function is a linear function with a negative slope.
The slope represents the rate of change, which is the amount by which y decreases for each unit increase in x.
In this case, the rate of change is 50, meaning that for every hour of driving, the remaining distance decreases by 50 miles.
The initial value of 350 represents the distance remaining when no time has passed (x = 0).
This means that when the family starts their drive, they have 350 miles left to travel.
Therefore, option D is correct.
5 friends need to split 4 candy bars how much does each friend get
Answer:
Each friend gets 0.8 of a bar
Step-by-step explanation:
4bars/5friends
When 5 friends divide 4 candy bars among themselves, each friend gets 0.8 of a candy bar.
Explanation:To answer how much candy does each friend gets when 5 friends split 4 candy bars, you apply the concept of division. The total number of candy bars (which is 4) should be divided by the total number of friends (which is 5). Thus, the answer is 4/5 or 0.8. This means that each friend will get 0.8 of a candy bar.
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what is the solution to 4log4(x+8)=4^2
Answer:
x=248
Step-by-step explanation:
4log4(x+8)=4^2
Divide each side by 4
4/4log4(x+8)=4^2 /4
log4(x+8)=4
Using logb(x) = a yields b^a =x
4^4 = x+8
256 = x+8
Subtract 8 from each side
256-8 = x+8-8
248 =x
PLEASE HELP ME IM STUCK
Answer:
5x^2 -3x +9
Step-by-step explanation:
To subtract, line up the common terms. I add a 0 term to keep the terms in line.
5x^2 + 0x +7
- (0x^2 +3x- 2 )
------------------------
Distribute the negative sign.
5x^2 + 0x +7
- 0x^2 -3x + 2
------------------------
5x^2 -3x +9
Answer:
B
Step-by-step explanation:
[tex](5x^{2} + 7) - (3x - 2)\\5x^{2} + 7 - 3x - (-2)\\5x^{2} + 7 - 3x + 2\\ B - 5x^{2} - 3x + 9\\[/tex]
How do I divide 4 digit by 1 digit
Answer:
long division
Step-by-step explanation:
3000/3= 1000
Answer:
Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.
Step #1. Observe how many digits the divisor has.
In our example, the divisor has 3 digits.
Step-by-step explanation:Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.
Step #1. Observe how many digits the divisor has.
In our example, the divisor has 3 digits. Step #2. In the dividend, start with the same number of digits that you found in Step #1.Step #3. Compare the 3 digits from the dividend and divisor.
If the dividend’s number is greater, we can begin dividing. In our example, we see that 389 is greater than 125, so let’s get started!
If the dividend’s number is less than the divisor, we must use another digit from the dividend. We’ll look at an example of this situation at a different time.
Step #4. Divide the dividend’s numbers by the divisor’s numbers.
Divide the dividend’s first number (which is 3 in our example) by the divisor’s first number (1). 3 by 1 is 3. Then, we multiply our divisor (125) by 3 and see that it fits in (in other words, that it’s less than) the dividend’s 3 numbers. So, we place the result underneath the dividend’s 3 digits and subtract.
Elimination Method 7x=3y+45 4x+5y=19 (Show it step by step please!)
[tex]\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}[/tex]
[tex]4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}[/tex]
6,-1 this is the answer
Plz help I need this by today
Answer:
the answers are below
Step-by-step explanation:
I don't know which one you needed help on
First one: 128x=96 --> x=3/4 so 96 is 75% of 128
Second one: 7^2=49, then use distributive property for the second part (3*5.2) and (3*-2.8)---> 49+15.6-8.4= 56.2
Third one: find the greatest common factor between 7x and 56 (it is 7 since seven can go into 56)---> 7(x+8)
NEED HELP ASAP! (Will give 24 points and mark Brainliest!)Malik wants to have at least $30 in his bank account so that he can purchase some songs. When he starts saving he has $8, he is given $7 by his aunt, and then earns another $10 mowing lawns. At least how much more does he need?
a) Write an inequality representing this situation.
b) Solve the inequality and interpret the solution.
c) Is the solution reasonable?
Answer:
x≥5
Step-by-step explanation:
A) 8+7+10+x ≥ 30
B) 8+7+10+x ≥ 30
First add 8, 7 and 10
8+7+10=25
25+x ≥ 30
Now subtract 25 from both sides (25-25) and (30-25)
x≥5
Answer:
I believe its B but im not to sure with this question sorry
Step-by-step explanation:
write this as a algebraic expression (the quotient of 4 and a number)
Answer:
4/n
Step-by-step explanation:
An algebraic expression is in terms of variables and constants.
quotient means division
the quotient of 4 and a number
4/n
there are 18 oranges in box A and 36 in box B. What is the ratio of the oranges in Box A to Box B?
Answer:
hello there the answer is 36:18
Step-by-step explanation:
because it dosent matter which number is bigger it matters about the oder they ask to put it in and in this case a to b =36to18
Hey there!
[tex]\boxed{BoxA: 18}[/tex]
[tex]\boxed{BoxB:36}[/tex]
You could have your [tex]ratio[/tex] to look like this: [tex]18:36[/tex] (most likely going to be your answer if you are looking for the ratio of the number)
BUT if you're trying to solve your [tex]ratio[/tex] then....Both terms go into [tex]18[/tex], [tex]9[/tex], and [tex]2[/tex]
[tex]\frac{18}{2}[/tex] [tex]= 9[/tex]
[tex]\frac{36}{2} = 18[/tex]
[tex]\boxed{9:18}[/tex]
[tex]\frac{18}{9} = 2[/tex]
[tex]\frac{36}{9} = 4[/tex]
[tex]\boxed{2:4}[/tex]
[tex]\frac{18}{18} = 1[/tex]
[tex]\frac{36}{18} = 2[/tex]
[tex]\boxed{1:2}[/tex]
Answer: [tex]\boxed{36:18}[/tex] or [tex]\boxed{18:36}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Find the slope of the line passing through the pair of points. (−4, 5) and (0, 2)
A. undefined
B. 34
C. −34
D. 43
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-4, 5) and (0, 2). Substitute:
[tex]m=\dfrac{2-5}{0-(-4)}=\dfrac{-3}{4}=-\dfrac{3}{4}[/tex]
Answer: C. -3/4Slope of the line passing through the pair of points (−4, 5) and (0, 2) is option C. -3/4.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given are two points on a line.
(−4, 5) and (0, 2)
We have to find the slope of the line.
Slope = Change in y coordinates / Change in x coordinates
= (2 - 5) / (0 - -4)
= -3/4
Hence the slope of the line through the two points is -3/4.
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Y=x+3 and y=3x+6 system of substitution
[tex]\left \{ {{y=x+3} \atop {y=3x+6}} \right. \\\\ \left \{ {{y=x+3} \atop {3x+6=x+3}} \right. \\\\\left \{ {{y=x+3} \atop {3x-x=3-6}} \right. \\\\\left \{ {{y=x+3} \atop {2x=-3\ /:2}} \right. \\\\\left \{ {{x=-1.5} \atop {y=-1.5+3}} \right. \\\\\left \{ {{x=-1.5} \atop {y=1.5}} \right.[/tex]
[tex]\left\{\begin{array}{ccc}y=x+3&(*)\\y=3x+6&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\x+3=3x+6\qquad\text{subtract 3 from both sides}\\\\x=3x+3\qquad\text{subtract 3x from both sides}\\\\-2x=3\qquad\text{divide both sides by (-2)}\\\\\boxed{x=-1.5}\\\\\text{Put the value of x to}\ (*)\\\\y=-1.5+3\\\\\boxed{y=1.5}\\\\Answer:\ \boxed{x=-1.5\ and\ y=1.5\to(-1.5;\ 1.5)}[/tex]
Your realized income is $36,864.00/yr. Your fixed and housing expenses are 32% and your savings are 15% of your realized income per month. How much discretionary money do you have, excluding savings, per month?
Answer:
You will have $1628.16 per month in discretionary money.
Step-by-step explanation:
In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.
The discretionary money for a month is $1628.16, excluding savings per month.
What is discretionary money?The discretionary money is the leftover money in the income after excluding the savings and expenditures.
Calculating the discretionary money for the given income:The given realized income is $36,864.00/yr
Then for a month, the realized income = $36,864/12
= $3072/month
Fixed and housing expenses are 32% of the realized income/month
= $3072 × [tex]\frac{32}{100}[/tex]
= $983.04
Savings are 15% of the realized income/month
= $3072 × [tex]\frac{15}{100}[/tex]
= $460.8
Then subtracting these from the realized income per month to get the discretionary money
Discretionary money (per month) = $3072 - $983.04 - $460.8
= $1628.16
So, the discretionary money left after excluding savings is $1628.16/month.
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y=3x, is this in standard form? And if not can i get an explanation on why not?
Answer: i would say no
Step-by-step explanation:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
Ax+By=C
Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
3x=y
Move y
to the left side of the equation because it contains a variable.
3x−y=0
Answer:
no but see explanation
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange y = 3x into this form
subtract y from both sides
0 = 3x - y, hence
3x - y = 0 ← in standard form
Write an equation that represents the line.
Use exact numbers.
The calculated equation of the line is y = 3/4x - 4.5
How to determine the equation of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
m = slope
Using the above as a guide, we have the following:
m = (-6 + 3)/(-2 - 2)
m = 3/4
So, we have
y = 3/4x + c
Using the points, we have
3/4 * 6 + c = 0
Evaluate
c = -4.5
So, we have
y = 3/4x - 4.5
Hence, the equation is y = 3/4x - 4.5
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Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans 129 shirts and 84 jeans 150 shirts and 75 jeans 160 shirts and 71 jeans
Answer:
150 shirts and 75 jeans
Step-by-step explanation:
s = shirts
j = jeans
12s+28j = 3900
The profit on the shirts is 70 percent so we multiply 12 by .7
12*.7 = 8.4
The profit on the jeans is 125 percent so we multiply 28 by 1.25
The profit was 3885
28*1.25 = 35
8.4s+ 35j=3885
We now have 2 equations and 2 unknowns
12s+28j = 3900
8.4*s+ 35j=3885
I am going to solve by elimination
Multiply the first equation by -.7
-.7 (12s+28j )= -.7*3900
-8.4s -19.6j=-2730
Add this to the second equation
-8.4s -19.6=-2730
8.4s+ 35j=3885
------------------------
15.4j = 1155
Divide each side by 15.4
15.4j/15.4= 1155/15.4
j = 75
Now we need to find the shirts.
We will substitute j=75
12s+28(75) = 3900
12s +2100 = 3900
Subtract 2100 from each side
12s = 3900-2100
12s = 1800
Divide by 12
12s/12 = 1800/12
s =150
Write in simplest form.
3 1/5 x 3 1/6=
Answer:
152/15
Step-by-step explanation:
So 3 1/5 can be rewritten as 16/5 and 3 1/6 can be written as 19/6. SO 16/5*19/6 is 304/30 or simplified as 152/15
at a maximum speed, an airolane travels 1680 miles against the windin 5 hours. Flying with the wind, the plane can travel the same distance in 4 hours. Let x br the maximum speed of the plane and y be the speed of the wind. What is the speed of the plane with no wind?
Answer:
Plane Speed (x) = 378 mph
Step-by-step explanation:
Equation
d = r * t
Givens
With the wind
d = 1680 milest = 4 hoursr = x + yAgainst the wind
d = 1680t = 5 hoursr = x - yEquation
The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.
(x + y)*4 = (x - y)*5 Remove the brackets on both sides
Solution
4x + 4y = 5x - 5y Subtract 4x from both sides4y = -4x + 5x - 5y Combine4y = x - 5y Add 5y to both sides 5y + 4y = xx = 9ySolution part 2
Now take one of the distance formulas and solve for x first then y.
(x - y)*5 = 1680 Substitute 9y for x(9y - y)*5 = 1680 Subtract on the left8y * 5 = 1680 Multiply on the left40y = 1680 Divide by 40 y = 1680/40 y = 42 That's the speed of the wind.(x - y)*5 = 1680 Substitute the wind speed for y (x - 42)*5 = 1680 Divide both sides by 5(x - 42) = 1680 / 5 Do the division on the right(x - 42) = 336 Add 42 to both sides.x = 336 + 42x = 378 mph Plane's speed