The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
How to compare the y-intercepts?The functions are given as:
f(x) = -2(1.07)^x
Table of values for g(x)
x g(x)
−4 −10
−2 − 7
0 −4
2 1
The y-intercept is when x = 0.
So, we have:
g(0) = -4
Also, we have:
f(0) = -2(1.07)^0
f(0) = -2
-2 is greater than -4 by 2
Hence, the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Read more about y-intercept at:
https://brainly.com/question/1884491
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Please help!!!!! Show work too, I'm having a hard time understanding how to solve this! (30 points!)
Answer:
y = -1/3
Step-by-step explanation:
Isosceles trapezoids have legs that are the same length
AB = CD
7y-4 = 4y-5
Subtract 4y from each side
7y-4-4y = 4y-5-4y
3y -4 = -5
Add 4 to each side
3y -4+4 = -5+4
3y = -1
Divide by 3
3y/3 = -1/3
y = -1/3
Step-by-step explanation:
an isoceles trapezoid means that both legs (the sides left and right) are of equal length.
the length of the baseline does not matter at all (I guess, it is given here to confuse us or for follow up questions).
so, we know that AB = CD.
and therefore
7y - 4 = 8y - 18
-4 = y - 18
14 = y
6.
A swimmer plans to swim at least 100 laps during a 6-day period. During this period,
the swimmer will increase the number of laps completed each day by one lap. What
is the least number of laps the swimmer must complete on the first day?
Answer:
I think 15
Step-by-step explanation:
15+16+17+18+19+20=105
if it was 14 it would equal to 99
24 ÷ 3 × 2 + 2
Show all steps! Thanks!
Use the order of operations!
Find point D on AB that is 3/4 of the distance from A to B
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
a2+b2=c2 a 2 + b 2 = c 2 ,
Step-by-step explanation:
if the question is a mutiple questions definitely
4
Evaluate the algebraic expression when b = 3, d = 12, h = 2 and r = 7.
A. 8
B. 16
C. 24
D. 32
Answer:
24
Step-by-step explanation:
the answer is 24 because the 3 and 12 u divide
Answer: the answer is choice c which is 24 .
Step-by-step explanation: HOPE IT IS CORRECT .THANKS .
what is 10 51/77 as a improper fraction
Answer: 821/77
Step-by-step explanation:
First multiply 10 by 77 (770) , then add 51 (821)
Set 821 as the numerator or top
Keep 77 as the denominator
Final answer is 821/77
Hope this helps!
If f(1) = 2 and f(n) = 5f(n − 1) then find the value of f(5).
-
Answer:
f ' (n) = 5f
Step-by-step explanation:
1- Take the derivative
2- remove the parenthesis
3- use differentiation rules
4- Differentiate
5- Simplify
The sum of two one numbers, one of which is one thirds of the other, is 60. Find the smaller number
Answer:
x = 15
(y = 45)
Step-by-step explanation:
x + y = 60
x = y/3
y/3 + y = 60 /*3
y + 3y = 180
4y = 180 /÷4
y = 45
x = y/3 = 45/3 = 15
Answer:
15 smaller The other 45
Step-by-step explanation:
X= big
1/3(x) = small
x+1/3(x) = 60
Multiply both sides by 3 to eliminate the fraction
3x+x = 180
4x=180
x= 45 (big=45)
60-45= 15 (small = 15)
45/3=15
A saving account pays a 3% simple annual interest rate. How much must you put in the saving account to earn $100 in interest in 6 months?
HELP PlS
Step-by-step explanation:
Solution
Interest =100
Rate=3•/•
Time =0.5
principal =?
Now
p=I×100÷T×R
p=100×100÷0.5×3
P= 10000÷1.5
P=6666.66
Divide. Write the answer in simplest form.
2 7/9 divided by 2
Answer:
1 7/18
Step-by-step explanation:
2 7/9= 25/9
25/9 divided by 2 is 25/18
Answer:
1 7/8
Step-by-step explanation:
2 7/9 simplified as 25/9 divided by 2 is 25/18 which is 1 7/8 if you simplify it. I hope my answer helps!
I need help with 13 on both pictures. The first picture is the answer and the second picture is the question not getting the answer at all
Problem 13
If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.
Example: x^3 times x^3 = x^6 in the top left cornerAnother example: 2x times x = 2x^2 in the bottom right corner.This is known as the box method to keep track of all the terms multiplied.
Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).
The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2
what is the median and mode of 28,34,34,50,54
Answer:
Both your median and mode are 34.
Step-by-step explanation:
The median is the middle of the set of numbers in order, and your mode is the number that appears the most.
Good luck :)
Elisabeth reads 15 of her book in 112 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3/4 of the book?
Enter your answer as a mixed number in the simplest form by filling in the boxes.
The number of hours it takes Elisabeth to read 3/4 of the book is; 5³/₅ hours
What are mixed numbers?We are told that she reads 15 of her books in 112 hours.
Thus, number of hours to read one book is;
112/15 hours per book
Therefore, number of hours to read ³/₄ of the book is;
³/₄ * ¹¹²/₁₅ = 28/5
As a mixed number is 5³/₅ hours per book
Read more on mixed numbers at; https://brainly.com/question/10225
Answer:
5 5/8 h
Step-by-step explanation:
took the test and got it right :)
x − y = 4 y − 8 = -x At which point do the given equations intersect each other?
Answer:
(6,2)
Step-by-step explanation:
Graph is below
Match the mathematical expression with its translation.
1. the independent values, or x values
domain
2. a relation where for any given input value there is only one output value
vertical line test
3. a value substituted in for the variable in a function which generates another value (the output)
relation
4. a way of representing how the members of one group are related to the members of another group
mapping diagram
5. a group of two numbers written in an order (x, y) so that the first value represents a horizontal position and the second number represents a vertical position
function
6. a value generated by a function from another value (an input) which was substituted into the function and evaluated
ordered pair
7. the dependent values, or y values
output
8. a set of ordered pairs
input
9. a test to determine if a graph is a function; a vertical line can only go through one point on the graph to be a function
range
Answer:
heya......
answer is
========
1. xy ----- the product of two numbers
2. x/y. ------ x divided by y
3. x - y. ----- x minus y
4. x + y. ----- sum of two numbers
5. y -x. ---- x subtracted from y
6. y/x. ------ y divided by x
7. x + y = 6 ------ the sum of 2 numbers is 6
8. xy = 6. ------ the product of two numbers is six
9. 6x = y. ------ six times a number equal to y
10. y = x - 6. ----- six less than a number is y
========
hope it helps ^_^
Step-by-step explanation:
I need to know what the equation is for this graph..
Answer:
The choice second
[tex]y = \frac{1}{3} \times ( \frac{1}{4} ) ^{x} [/tex]
The hot cocoa stand uses 65 spoons each day. If the stand is open for 30 days, how many spoons are uses?
Answer:
1950
Step-by-step explanation:
i got to this by multiplying 30 and 65
1,950
Step-by-step explanation:
it's 65 x 30 which equals 1,950
The ratio of boys to girls at a camp is 4:5. If there are 75 girls, how many boys are there? I NEED AN ANSWER ASAP PLEASE
Answer:
60 boys
Step-by-step explanation:
To find how many boys, you need to find how many times more than 75 is than five. To do that, divide 75 by 5 and you'll get 15. Multiply 4 by 15 and you get 60 boys. (i'm guessing bc im in middle school lol)
Please answer these thank u
1. 3*3 + 3*8 = 9+24=33
2. 4*4+.5*2*4+5*5= 16+4+25=45
3. 5*10+4*10= 90
4. 24+.5*4*4 = 32
Which list is in order from least to greatest? 50 points
Two-thirds, StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction
StartFraction 6 Over 10 EndFraction
StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction, Two-thirds
StartFraction 6 Over 10 EndFraction, Two-thirds, StartFraction 5 Over 8 EndFraction
Answer:
the answer is 6/10, 5/8, 2/3
Step-by-step explanation:
Find the change below as a percentage. Then choose whether it is a percent of incease ror a percent of decrease. Change from 22 grams to 33 grams.
[tex]\dfrac{33}{22}\times100 =150[/tex]
Ans: 150%, a percent of incease
How many and what type of solution(s) does the equation have?
6p^2 = 8p + 3
No real solutions
2 irrational solutions
1 rational solution
2 rational solutions
Answer:
2 irrational solutions.
Step-by-step explanation:
6p^2 = 8p + 3
0 = -6p^2 + 8p + 3
The roots are:
p = (2/3) - (8.5)^(1/2)/3, and
p = (2/3) + (8.5)^(1/2)/3
These are irrational numbers.
There are 2 irrational solutions.
A powerful computer is purchased for $2000. but loses 20% of its value each year. How much will it be worth 4 years from now
Answer:
It will be worth 819.20$
Step-by-step explanation:
One year, the population of a city was 105,000. Several years later it was 95,550. Find the percent decrease.
Answer: 9% decrease in population
Step-by-step explanation:
trust
The edge of a cube is (5x+2) mm long. What is its volume?
Answer:
(125x+8)cm^3
Step-by-step explanation:
Volume= (5x+2)^3 = (125x+8)cm^3
Hey!
Answer:
125x^3+ 150 x^2+ 60x +8.
Formula of the volume of the cube = v=a^3
Substitute:
v=(5x+2)^3
=125x^3+ 150 x^2+ 60x +8.
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
Area of larger triangle = 195ft^2
The area of the smaller triangle is ? ft^2. (Round to the nearest whole number as needed.)
Answer:
70 ft²
Step-by-step explanation:
ratio of their same side is 6/10 = 3/5
area ratio will be square of this so,
are of small traingle will be,
195 × (3/5)²= 195 × 9/25= 70.2
There are 16 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 17 cups?
Answer:
1
Step-by-step explanation:
the reason why is because 16 people are coming to your party + you is 17
Antonia is saving for a video game. On the first day, she saves two dollars in her piggy bank. Each day after that, she doubles the number of dollars she saved on the previous day. How many dollars does she save on the sixth day?
Answer:
64
Step-by-step explanation:
so each day you times the amount of money by two
1=2
2=4
3=8
4=16
5=32
6=64
7=128
Which expression is equivalent to -6(-2/3+2x)?
plss hurry im timed
-4-12x
-4+2x
4-12x
4÷12x
Answer:
4 - 12x
Step-by-step explanation:
-6(-2/3 + 2x)
we can distribute by multiplying -6 by whats inside of the parenthesis ( -2/3 and 2x )
-6 * -2/3 = 4
-6 * 2x = -12x
4 - 12x would be the equivalent expression
Given expression to us is ,
→ -6( -2/3 +2x)
Simplify by multiplying each terms inside the brackets by -6 .
→ -6*-2/3 + 2x*(-6)
Simplify,
→ 4 -12x
Hence option 3 is correct .
I hope this helps .
Which set of ordered pairs represents a function?
Answer:
The last one is a function (6,-5),(5,-2), (-5,5),(-5,1)
Step-by-step explanation:
beacuse it has 2 pairs of the same x value