So we know
[tex]\\ \rm\rightarrowtail y=ab^x[/tex]
Put what's given
[tex]\\ \rm\rightarrowtail -3=ab^0[/tex]
[tex]\\ \rm\rightarrowtail -3=a[/tex]
Now put back
[tex]\\ \rm\rightarrowtail y=-3b^x[/tex]
Range of all y values less than 0turn b to Euler's number thenAs we know that e^x has range (0,oo) when multiplied with any negative number i.e here -3 it yields y less than 0[tex]\\ \rm\rightarrowtail y=-3e^x[/tex]
Graph attached
Answer:
General form of an exponential function: [tex]y=ab^x[/tex]
where:
[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex] is the base (or growth factor)[tex]x[/tex] is the independent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
Also [tex]b\neq 1[/tex]
Given:
y-intercept = (0, -3)[tex]\implies y=(-3)b^x[/tex]
If we want the function to be decreasing, then as [tex]a[/tex] is negative, we need [tex]b > 1[/tex] to make the overall function decreasing.
Let [tex]b=2[/tex] :
[tex]\implies y=(-3)2^x[/tex]
If we want the function to be increasing, then as [tex]a[/tex] is negative, we need [tex]0 < b < 1[/tex] to make the overall function increasing.
Let [tex]b=\dfrac12[/tex] :
[tex]\implies y=-3\left(\dfrac12\right)^x[/tex]
However, it doesn't matter whether the function is increasing or decreasing as the range of both of the above given functions is < 0 as [tex]a[/tex] is negative and [tex]b[/tex] is positive.
HELp due in 10 mins Thanksnsssss
Answer:
this is how!!!
Step-by-step explanation:
so since it says “unit price” (also says dollar per bananas) all you have to do is make a variable and substitue
So:
Let number of bananas be “ b “
0.50b
0.5(4)
2
2 dollars
It the same for the rest except the last two
Since you dont know the number of bananas, let b be unknown, but may it equal to the cost given. For example:
10 = 0.5b
Since you dont know b
To solve for b, you have to make b be all by itself (like me when my cousin is sleeping on the other side of the world ;’) )
To do that you have to divide 0.5 to both sides
10 / 0.5 = 0.5b / 0.5
This will remove 0.5 from the right side and isolate b
Since b and 0.5 are being multiplied you can factor 0.5 out from the right side
10 / 0.5 = b
Now simplify
B = 20 bananas
Which situation can be represented by the inequality x < 56? A) Tina's dog weighed 56 pounds two months ago. He gained weight and weighs x pounds now. B) Tina has x dollars. She has more than enough money to buy a camera that costs $56. C) Tina walks for 56 minutes. She walks for the same amount of time as her sister, who walks for x minutes. D) Tina's height is x inches. She is shorter than her brother, whose height is 56 inches.
Given:
The inequality is [tex]x<56[/tex].
To find:
The correct situation for the given inequality.
Solution:
Tina's dog weighed 56 pounds two months ago. He gained weight and weighs x pounds now. It means, weighs x pounds is more than 56 pounds.
[tex]x>56[/tex]
So, option A is incorrect.
Tina has x dollars. She has more than enough money to buy a camera that costs $56. It means, amount $x is more than required amount $56.
[tex]x>56[/tex]
So, option B is incorrect.
Tina walks for 56 minutes. She walks for the same amount of time as her sister, who walks for x minutes. It means, x is equal to 56.
[tex]x=56[/tex]
So, option C is incorrect.
Tina's height is x inches. She is shorter than her brother, whose height is 56 inches. It means, Tina's height is x inches is less than her brother's height, i.e., 56 inches.
[tex]x<56[/tex]
Therefore, the correct option is D.
Answer:
11
Step-by-step explanation:
I'm in K12 and this is right
204% as a fraction? who every now put it in comments
Answer:
204/100 = 51/25= 2 1/25 that is the answer
Step-by-step explanation:
204/100
divide both numerator and denominator by 4
204÷4 = 51
100÷4 = 25
51/25
=2 whole number 1/25
PLEASE MARK BRAINLIEST
Please help with these!!
Step-by-step explanation:
Question 8: Ramiro is correct because the triangles are similar by AA (the measure of angle C in triangle ABC is 180-62-39=79 degrees). Julie is wrong because you would need at least 1 pair of corresponding congruent sides to prove the triangles congruent (angles alone are not sufficient)
The question with the angle diagram:
Since angles A and B are supplementary (since they form a linear pair), their measures add to 180 degrees. Hence, the measure of angle B is 180-140=40 degrees.
The measure of angle E can be found by the same logic, and has a measure of 50 degrees.
Since the sum of the measures of the angles of a triangle is 180 degrees, the measure of angle C is 180-40-50=90 degrees.
Hence, since angles C and D are supplementary, angle D has a measure of 90 degrees.
How long will it take to count to 3,140,000 by 1's?
show you work!
explain your answer!
Answer:
A long time
Step-by-step explanation:
A long time
How do I do this and what is the correct answer?
Answer:
10 2/3
Step-by-step explanation:
[tex] \frac{24}{9} = \frac{8}{3} [/tex]
[tex] \frac{8}{3} + 8 = \frac{8 + 24}{3} = \frac{32}{3} = 10 \frac{2}{3} [/tex]
GEOMETRY HELP!!!!!!!!
Why is he wrong?
Answer:
He is wrong since reflecting the image across the x-axis means reflecting it on the axis that is horizontal and reflecting it over the y-axis means reflecting it on the y-axis which is verticle.
Answer:No, it would not be the same if you reflect it from the X axis.
Step-by-step explanation:
because the the shape is not "on" the X axis. When you reflect the shape across the X axis, then you will not really get a shape. It's easier if you imagine you put a mirror on the x axis and looked at it. Malik would have to shift the whole shape down so that the current points (3,1) and (-3,1) would change to (3,0) and (-3,0) Also shifting down the other two points too. Reflecting it is like if you had the shape in paper and you folded it in half. If it matches perfectly, then you know that you have a match and that it is reflecting. If it doesn't fold perfectly, then it doesn't reflect. So if you folded the shape from the X axis, you wouldn't get a perfect match so he is wrong. Does it help?
D) A rectangular garden has a width of 1.2 meters and a length of 3.5 meters. For each square meter of space in the garden, Leo needs to use 0.075 kilogram of fertilizer. He finds the total amount of fertilizer needed for the garden using the work below. Leo is incorrect. Use the drop-down menus to explain Leo's mistake and the actual amount of fertilizer needed for the garden. Area of the Garden Amount of Fertilizer 1.2 x 3.5 60 + 360 4.2 X 0.075 21 0 + 2940 0.2 150 4.2 0
The total amount of fertilizer needed for the rectangular garden is 0.315 kg.
What is the total amount of fertilizer needed?The first step is to determine the area of the garden.
Area of the garden = length x width
=1.2 x 3.5 = 4.2
The second step is to multiply 0.075 by 4.2
0.075 x 4.2 = 0.315 kg
To learn more about multiplication, please check: https://brainly.com/question/3385014
The area of the triangle below is 2/15 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.
Let's set the base of the triangle to x.
(x* 3/5) / 2= 2/5
Now just solve
x*3/5=4/5
x=4/3
The base has length 4/3= =1 1/3
Hope it helped!
A small lizard is 5/1
inch long. A larger lizard is 5 1/5 times as long. How long is the larger lizard?
Answer:
26 inches long.
Step-by-step explanation:
5/1 is just 5 and 5 1/5 is 5.2 and you just multiply 5.2 by 5 :5.2x5=26.0
An international calling plan charges a rate per minute plus a connection fee. You can make a phone call from France to the United States for $0.22 per minute plus a $0.99 connection fee. Write a linear equation that could be used to represent the cost of an x minute phone call.
Answer:
y=0.22x+0.99
Step-by-step explanation:
Notice that in this problem they are giving us a rate $0.22 per minute. This means that whenever we multiply that rate by the number of minutes used, we will get the total amount of money spent. In this case, since we don't know the amount of minutes (variable) we will call them x, so the first part of the equation should be:
0.22x
the connection fee is $0.99, which means that no matter the time you take talking by the phone, you will be charged a constant value of $0.99, so we can add that to the previous value we got:
0.22x+0.99
and for the equation to be complete, we can set variable y= to the total cost of the call, so the whole equation would be:
y=0.22x+0.99
What is the value of X?
(x + 11)
(3x + 7)
Answer:
im not sure if this is correct but:
Step-by-step explanation:
4x+18
360= 4x+18
360-18=342
342/4 is 85.5
to check work
(85.5*4) + 18
=360
Help please???????????
Answer:
525
Step-by-step explanation:
i really dont know what it asking
Find the angle of x please!
Check the picture below.
Make sure your calculator is in Degree mode.
After a tournament, members of a
soccer team went to dinner. They
ordered 10 pizzas that cost $18.25
each and 20 sports drinks for $2.50
each. Tax was included in the prices
and they left a $35. tip. How much did they spend in all?
Answer:
$267.50
Step-by-step explanation:
This is the answer for 18.25 each and 2.50 each
If you mean 10 pizza for 18.25 combined and 20 drink for 2.50 combined then $55.75
Karen wants to buy 5 pounds of baby carrots. the packages of carrots each weigh 14 ounces, how many will she need to buy to reach 5 pounds?
For questions 7 – 10, choose the figure that is most likely the next step in the sequence.
Answer:
Step-by-step explanation:
7) First shape has 3 sides; second figure has 4 sides and the third shape has 5 side. In this way, the nest shape should have 6 sides
Answer: B
8) C
Simplify the expression below. Show all steps.
√4x^2 ÷ 3y
Answer:
4x÷3y
Step-by-step explanation:
√4x^2 ÷ 3y
√16x÷3y
4x÷3y
Hoped it helped :)
A fruit punch recipe uses 4 cups of orange juice for every 1 cup of cranberry juice. Select the
statement about the recipe that is true
a The ratio of orange to cranberry juice is 4:5.
b. The ratio of cranberry to total fruit juice is 1:4.
The ratio of cranberry to orange juice is 1:4.
d. The ratio of orange to cranberry juice is 1:4.
Answer:
Step-by-step explanation:
A fruit punch recipe uses 4 cups of orange juice for EVERY 1 cup of cranberry juice.
This means that if i wanted 2 cups of cranberry juice, i also need double the amount of orange juice, which would be 8 cups.
In this way we can say the ratio of orange juice to cranberry juice would be 4:1.
This is the same as saying for every 1 cup cranberry juice, we need 4 cups orange juice . This is written as 1:4
Help please I’m really struggling
Answer:
It’s d
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Because the inequality sign is just great than and not great than or equal to the circle will be not solid. The line will be facing to the left because that is which way the sign is pointing >>>>>.
Please show steps to answer. No links please
Answer:
18 hours after 10 AM
Step-by-step explanation:
We are looking for the time the helicopter and the plane will be the same distance from Burbank after 10 AM.We are given the two equations for the distance that the helicopter and the plane are away, in miles.It also says that R is the variable for time.Using this information, we need to solve for the time with broth equations, so we would set both up to be equal to each other, since they will be the same distance away from each other.It would look like this: -150r + 260 = -270r + 440.Add 150r to both sides.260 = -10r + 440.Add -10r to both sides.Now we have 10r + 260 = 440Subtract 260 from both sides.10r = 180Divide each side by 10 to isolate the R.R = 18.It would be 18 hours after 10 AM.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
You have a half pizza leftover in the refrigerator. The first night, the pizza goes to the refrigerator and eats 20% of the pizza in hope that no one notices the missing pizza. The second night the pizza pirate returns and eats 20% of the remaining pizza. the pattern continues for the next few days.
[tex]Answer:[/tex]
The pizza pirate ate the whole pizza!
2(days) + 3(a few days) = 5
20 x 5 = 100%
Therefore, the whole pizza is gone. Don't worry, I'll buy a new one!
please answer quickly check the image below
C.
Number of half-unit cubes = 18
V = 2 1/4 cubic units
volume of rectangle: length * width * height
[tex]\hookrightarrow 1\dfrac{1}{2} * 1\dfrac{1}{2} *1[/tex]
[tex]\hookrightarrow \dfrac{3}{2} * \dfrac{3}{2} *1[/tex]
[tex]\hookrightarrow \dfrac{9}{4}[/tex]
[tex]\hookrightarrow 2\dfrac{1}{4}[/tex]
To find number of half units cubes:
volume * 8 half-unit in every cube
[tex]\rightarrow 2\dfrac{1}{4} *8[/tex]
[tex]\rightarrow \sf 18[/tex]
help... A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long?
Answer: 6 feet tall.
Step-by-step explanation:
If the boy who is 3 feet tall casts a shadow that is 7 feet long and then another person casts a shadow that is 14 feet long that would mean that he is 6 feet because 7+7 is 14 so all you would have to do it 3+3 to get your answer.
A group of friends were working on a student film. They spent $546 on props, which was 39% of their total budget. What was the total budget for their student film?
Answer:
Step-by-step explanation:
Spent=$546
Budget=100%
=39/100*546
Solve the compound inequality.
7
Answer:
Ok, first of all, that's not an inequlity. An inequality includes < or >, and also ≤ or ≥. 7 is not an inequality, so perhaps you made a mistake typing the question?
Step-by-step explanation:
Please help me!!!!!!!
Answer:
Are they looking for the same number on both x and y?
Step-by-step explanation:
Please respond and it will help me
what is the image of (-2, -5) after a reflection over the line y = x
Answer:
2, -5
Step-by-step explanation:
Answer:
(-5, -2)
Step-by-step explanation:
Rule for reflection over y = x :
(x, y) -> (y, x)
A 0.13
B 0.17
C 0.39
D 0.45
Find the value of x.
Answer:
x=128
Step-by-step explanation:
Answer:128
Step-by-step explanation:
The angles in a trapezoid add up to 360, so if you add all the ones already given then subtract them from 360 you get 128.