Answer:
h(x) = 2 × 3ˣ - 3²ˣ
Step-by-step explanation:
Given:
[tex]f(x) = 3^x[/tex]
[tex]g(x) = 3^{2x} - 3^x[/tex]
[tex]h(x) = f(x) - g(x)[/tex]
Then:
[tex]h(x) = 3^x - (3^{2x} - 3^x)\\h(x) = 3^x - 3^{2x} + 3^x\\h(x) = 2 \times 3^x - 3^{2x}[/tex]
write the equation of the line that passes through the given point and has the given slope.
(4,2) slope=3
Simplify the following expression.
(2d – 3)(2d – 3)
Answer:
[tex]4d^2-12d+9[/tex]
Step-by-step explanation:
Okay, so lets break this problem down. We are given two binomials to multiply together. The simplest way to get our answer is by using the F.O.I.L method. This is done by the following:
F: First
O: Outer
I: Inner
L: Last
To say simply, the first term in the first parenthesis or 2d will be multiplied the first term in the second parenthesis 2d.
Here are the steps:
[tex](2d-3)(2d-3)\\2d*2d=F\\2d*-3=O\\-3*2d=I\\-3*-3=L\\Now:\\2d*2d=4d^2\\2d*-3=-6d\\-3*2d=-6d\\-3*-3=9\\$4d^2-6d-6d+9\\Combine Terms\\4d^2-12d+9[/tex]
I would be happy to help you again in the future, and hope that this provided some clarification for you. Have a nice day! :D
How are iteration and composition functions related?
Answer:
they are related by ________
Step-by-step explanation:
Answer:
In mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times. The process of repeatedly applying the same function is called iteration.
Step-by-step explanation:
Took test
work out the length x
Answer:
17.7cm (1.d.p)
Step-by-step explanation:
First do [tex]16^{2}[/tex] (16 x 16) add [tex]7.5^{2}[/tex] (7.5x7.5)
That gives us 312.25 cm
Then find the square root of that [tex]\sqrt{312.25[/tex]
That equals 17.67059705
If you do it to one decimal place, [tex]x^[/tex] is 17.7cm
Pleeease give brainliest, have a nice day.
Solve the equation. Show all work.
-2 (4 - x) = 12x – 3
(I think this is 9th grade algebra)
Answer:
-1/2
Step-by-step explanation:
-2 (4 - x) = 12x – 3
-8+2x=12x-3
+8 +8
2x=12x+5
-12x -12x
-10x=5
/-10 /-10
= -1/2
Answer:
x = -1/2 or -0.5
Step-by-step explanation:
-2 (4 - x) = 12x - 3
Distribute the -2
-8 + 2x = 12x -3
Add 3 to both sides
-5 + 2x = 12x
Subtract 2x from both sides
-5 = 10x
Divide both sides by 10
x = -1/2 or -0.5
PLEASE HELP ME I STUCK IM BEGGING YOU
Calculate the area of the arrow by decomposing it into rectangles and triangles.
66.5 square centimeters
69.5 square centimeters
83 square centimeters
99 square centimeters
Answer: 69.5 square centimeters is the answer
Step-by-step explanation: i like ur pfp btw
Answer:
69.5
Step-by-step explanation:
..........................
Which sides are congruent in the diagram below?
Answer: The first option (A)
Step-by-step explanation:
Answer:
It is A.
Step-by-step explanation:
AC=DF, AB=DE
3. A farmer was collecting vegetables from his garden. 60% of the
vegetables were carrots. If there were 30 carrots, how many vegetables
were there in all?
Answer:
There are 50 vegetables in all.
Step-by-step explanation:
First of all, 50 is correct because 60% of 50 is 30.
50 * 60% = 30.
So, the answer is 30.
Hope this helps! :)
Rewrite the subtraction expression as an addition expression, and then simplify (find the sum). -2 -3
Answer: -2 + (-3) = -5
Step-by-step explanation:
ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?
A coordinate plane showing triangles A B C and A prime B prime C prime. The coordinates of the first figure are A negative 2 comma 2, B zero comma 4, and C 2 comma 2. The coordinates of the second figure are A prime 8 comma 2, B prime 6 comma 4, and C prime 4 comma 2.
a.)A reflection over the line x = 2
b.)A reflection over the line y = 3
c.)A reflection over the line x = 3
d.)A reflection over the y-axis
The statement that best describes the reflection of ΔABC is "A reflection over the line x = 3".
What is a triangle?A triangle is a polygon with 3 sides. Also, It has three vertices.
If we plot the two triangles on the graph,
A = (-2,2)
B = (0,4)
C = (2,2)
A' = (8,2)
B' = (6,4)
C' = (4,2)
We will find that the two of the triangles are identical therefore, the two triangles are reflections of each other, and the distance between the points
C and C' is of 2 units, therefore, if we draw the line between the two points, C and C' such that the line is parallel to the y-axis and lies at x=3, then ΔA’B’C’ will be a reflection of ΔABC.
Hence, the statement that best describes the reflection of ΔABC is "A reflection over the line x = 3".
Learn more about Triangle:
https://brainly.com/question/25813512
How do you do this?????
Answer:
find the value by your nearest round estimate
Find the simple interest to the nearest cent (round to two decimal places as needed).
$1,295 at 9.25% for 4 years
Answer:
$479.15
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.25%/100 = 0.0925 per year,
then, solving our equation
I = 1295 × 0.0925 × 4 = 479.15
I = $ 479.15
The simple interest accumulated
on a principal of $ 1,295.00
at a rate of 9.25% per year
for 4 years is $ 479.15.
A player on a school baseball team reaches first base 3 10 of the time he is at bat. Out of 50 times at bat, how many times would you predict he will reach first base?
Answer:
15 times
Step-by-step explanation:
Proportion of times first base is reached = 3 / 10
If Number of times at bat = 50
Number of times first base is reached :
Proportion * Number of times at bats
3/ 10 * 50
(3 * 50) / 10
(150 / 10)
= 15 times
Will mark brainlist if correct
Answer:
The answer is 3 ≤ y ≤ 8.
Step-by-step explanation:
When we want to find range of a function, we have to look at maximum and minimum value of y-axis.
So the range of this function is 3 ≤ y ≤ 8.
Hannah has 229 horse stickers and 164 kitten stickers how many more horse stickers then kittens stickers does Hannah have.
Answer:
65
Step-by-step explanation:
I WILL GIVE 200 POINT TO WHOEVER GET RIGHT The price of Philip's favorite candy has been reduced by 15¢ per piece. Philip buys 14 pieces and spends $3.22. What is the regular price of each piece of candy? Enter your answer in the box.
Answer:
0.23 $
Step-by-step explanation:
Answer:
6.52
Step-by-step explanation:
This is my 2nd question
Harry receive the package for his birthday package weighs 50 Oz what is the weight of the package in pounds and ounces?
Which question can be answered by solving the inequality 7x<50?
A. Clayton spent $7 yesterday and now has less than $50. What is the most money, x, he could have had before yesterday?
B. Clayton earned $7 yesterday. He still has less than $50. What is the most money, x, he could have had before yesterday?
C. Clayton worked 7 hours and earned less than $50. What is the most money, x, he could have earned per hour?
D. Clayton earned the same amount each day for 7 days. He earned less than $50 per day. What is the most money, x, he could have earned in all?
Answer:
Clayton spent $7 yesterday and now has less than $50. What is the most money, x, he could have had before yesterday?
Answer:
A. Clayton spent $7 yesterday and now has less than $50. What is the most money, x, he could have had before yesterday?
good luck, i hope this helps :)
Can somebody help me?
Answer:
15% markdown
Step-by-step explanation:
In order to find the markdown, take the lowered price and place it in a fraction as the numerator, and the initial price as the denominator. This looks like:
[tex]\frac{828.75}{975}[/tex]
with this fraction, we're going to multiply it by 100, with an equation looking like this,
[tex]\frac{828.75}{975}[/tex]×[tex]\frac{100}{1}[/tex]
once we multiply(typically using a calculator, though manually is possible of course) we get 85.
In order to find the markdown price however, we need to subtract 85 from 100, getting 15. This is the markdown price, because it's the percentage of the initial whole that the price went down by. Can check by finding 15% of 975, which is 828.75
TOPIC: MULTIPLICATIONA DIVISION OF POLNOMIAS
ENRICHMENT ACTIVITY
Find the product of each of the following:
7. (x - 5)(x + 5) -
8. (x + 2)(x - 2) =
9. (x + 2)(x+2) =
10. (x+3)² =
11. (x - 2)³ =
12. (x²-3x + 9(x + 3) =
If there are 40 freight cars on the train and 14 of them are use for refrigeration, what percent of the cars are used for refrigeration?
Answer:
54
Step-by-step explanation:
the answer I 544
50 points Classify the expression: 5x^3 + 2x − 3
A Quadratic expression
B Linear expression
C Cubic expression
D Exponential expression
(I have an answer but I'm not so sure about it)
Answer:
C: Cubic Expression!
Step-by-step explanation:
In this equation/expression, you can look at the highest exponent which is 3, and you can also look at how many terms it has, which is 3. This makes it a 3rd degree trinomial, which makes it C, Cubic Expression!
Answer:
Cubic Expression
Step-by-step explanation:
See answer above
pls help I am on a timer
Answer:A
Step-by-step explanation:
Answer:
A for sure
Step-by-step explanation:
A vendor sells 18 greeting cards in an hour. Some of the cards have photographs on them. Others have
illustrations. The cost is $2 for cards with photos and $3 for cards with illustrations. The total cost of the
cards is $44.
Part A: Write a system of equations that you can use to find the number x of cards with photographs and the
number y of cards with illustrations sold.
Part B: Find how many of each type of card sold.
Answer:
Step-eby-step explanation:
Which table represents a linear function?
Answer:
C.
Step-by-step explanation:
1 -3
2 -5
3 -7
4 -9
Because it has a constant slope it is increasing x by 1 and decreasing y by -2.
Slope: -2/1 or -2x
Answer:
I think its the first table.
Step-by-step explanation:
My reasoning behind this is because all of the Y values are being multiplied by 2 each times.
sin 420° =
Your answer:
A.sin 30°
B.sin 60°
C.sin 90°
D.sin 20°
Answer: B
Step-by-step explanation:
360 is a full circle. 420-360= 60
The correct prime factorization of 22,770 is...
A) 6 • 5 • 11 • 23
B) 2.3.5.11 • 23
C) 2. 3. 3.5. 11. 23
D) 2 • 3 • 3.3.5. 7. 11
E) 3 • 3.5.5.5.7.7
Can you help me find the combination to this problem
Will give Brain please help!!
Answer:
Yes these are similar
Step-by-step explanation: