Answer:
g(x) = -2 • 5^x
Step-by-step explanation:
the reflection across the x-axis makes the equation negative. the 2 is the verticals stretch.
(also got the answer correct on a test)
The function f(x) after a vertical stretch by a factor of 2 and a reflection across the x-axis becomes [tex]\rm g(x) =-2\times (5)^x[/tex] and this can be determined by using the rules of transformation.
Given :
[tex]\rm f(x) = 5^x[/tex]
The following steps can be used in order to determine the function after the given transformation:
Step 1 - The rules of transformation can be used in order to determine the function after the given transformation.
Step 2 - Write the given function.
[tex]\rm f(x) = 5^x[/tex]
Step 3 - Now, stretch the graph of the above function vertically by a factor of 2. So, the function of the graph obtained is:
[tex]\rm h(x) =2\times (5)^x[/tex]
Step 4 - Now, take the reflection of the graph obtained in the above step about the x-axis. So, the function of the graph obtained is:
[tex]\rm g(x) =-2\times (5)^x[/tex]
Therefore, the correct option is D).
For more information, refer to the link given below:
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Which is the minimum or maximum value of the given function?
51
4
3
21
1P
-5
-4
-3 -2
-1
0
1
21
31
4
5
-1
-3
-41
-5
Answer:
the minimum value of the given function is -4
AAAH HELP! Assume that r varies directly as p. What is the constant of proportionality if r = 3 when p = 15. k = 1\5 k = 5 k = 3 k = 45
Answer:
k = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Given that r varies directly as p then the equation relating them is
r = kp ← k is the constant of variation
To find k use the condition r = 3 when p = 15, then
3 = 15k ( divide both sides by 15 )
[tex]\frac{3}{15}[/tex] = k , that is
k = [tex]\frac{1}{5}[/tex]
Answer:
k = 1/5
Step-by-step explanation:
What is four fifths mines two thirds sorry for asking
Answer:
2/15
Step-by-step explanation:
4/5-2/3
PPLLLLZZZZZ HHHEEELLLLPPPP
Answer:
11 1/3 sq yards
Step-by-step explanation:
4 1/4 x 2 2/3
change into improper fractions: 17/4 x 8/3 = 136/12 = 11 1/4
Please help!!!!
Sometimes you need to use FOIL, in order to simplify a radical expression,
Multiplying binomial expressions is very similar to multiplying binomial radicals
Examples:
Answer:
c) ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]
d) ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]
Step-by-step explanation:
Step(i):-
Given that the binomial expression
([tex](6-\sqrt{12} )(6+\sqrt{12} )[/tex]
Multiply
( 36 + 6√12 -6√12 -(√12)²)
= ( 36 -12)
= 24
c) ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]
Step(ii):-
Given that the binomial expression
([tex](3+\sqrt{8} )(3-\sqrt{8} )[/tex]
Multiply
= 9 - 3√8 + 3√8 -(√8)²
= 9 - 8
= 1
d) ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]
the sum of 8 and a number
Answer:
x+ 8
Step-by-step explanation:
How do the villagers investigate the hole?
Answer:
they get in a hole and they grab the dirt and examine it
Step-by-step explanation:
Answer:the shout and throw a pebble into the hole
Step-by-step explanation:
a bag has 4 red balls and 4 balls, what is the probability of getting a red ball randomly.
Answer:
1/2
Step-by-step explanation:
4/8 are red. If you simplify that you get 1/2.
patrick mahomes threw 229 yards in the first quarter of the súper bowl. for the last 3 quarters of the game, he ended up throwing a total of 754 yards. write an equation to find how many yards he threw each of the last three quarters
Answer:
345 yards :)
Step-by-step explanation:
Translate this phrase into an algebraic expression.
The sum of 17 and twice Greg's score
Use the variable g to represent Greg's score.
Answer:
17+2g
Step-by-step explanation:
Answer:
2g=17
Step-by-step explanation:
10 When line a is drawn in the xy-plane, it passes through quadrants II and III, but not through quadrants I and IV. Which of the following could des ribe line a ? A) The slope is 1 and the x-intercept is 0. B) The slope is () and the y-intercept is 5. C) The slope is -1 and the y-intercept is 0. D) The slope is undefined and the x-intercept is -5.
Answer:
D the slope is undefined and the y intercept is -5
Step-by-step explanation:
quadrant II and III are on the left. the only way for a line to pass through those two quadrants without passing through I and I would have to be a negative x intercept. The slope would have to be undefined which would make a diagonal line. if the slope was 1 or anything higher it would end up hitting the other quadrants.
the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the distance from the top of the flagpole to the ground.
You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.
The distance from the top of the flagpole to the ground is 30 feet.
What is Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the distance from the base of a flagpole to a point on the ground = 24 feet
height of flagpole = 18 feet
the distance from the top of the flagpole to the ground is x
by Pythagorean theorem, we can find the distance
h² = b² + p²
h = hypotenuse = x
b = base = 24 feet
h = height = 18 feet
x² = 24² + 18²
x² = 576 + 324
x = √900
x = 30 feet
Hence the value of x is 30 feet.
Learn more about Pythagorean theorem;
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PLEASE HELP 20 POINTS
The area of a rectangular trampoline is 84 ft^2. The length of the trampoline is 8 ft greater than the width of the trampoline. The
situation can be represented by the equation
w^2 + 8w- 84 = 0
What is the width of the trampoline in feet?
A) 7 feet
B) 6 feet
C) 14 feet
D) 8 feet
Answer:
the rectangle is 14x6, the width is 6ft
Step-by-step explanation:
please help I will mark brainliest
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answer:
Choice 1) no
Choice 2) yes
Choice 3) yes
Choice 4) no
Choice 5) yes
Choice 6) no
Answer:
2, 3, & 5
Step-by-step explanation:
GIVING BRAINLEIST PLS HURRY
Answer:
B. 5 cm, 5 cm, 5cm
Step-by-step explanation:
You can see in the picture that the sides are all 5
Answer:
the answerrrrrrrrr is B
An item that costs $278.00 is marked 65% off. The store is offering an additional 10% off the discounted price. Sales tax for the item is 4%. What is the final price, including tax?
Find the missing values in each column.
Column A
Column 8
Column C
+3+=12
63 +7=
-63+(-7) = 9
-63-7=
Column D
21 + 7 = 3
-21-7) = 3
-21-7=3
21+(-7) = 3
- 24+4=-6
43 - (-4)= -12
Describe the pattern you see in each column's answers in Problem 1. relating it to the problems divisors and
dividends. Why is this so?
Describe the pattern you see between the answers for Columns A and B in Problem I les compare the first answer
in Column A to the first answer in Column B compare the second answer in Column A to the second answer in
Column B) Why is this so?
Describe the pattern you see between the answers for Columns C and Din Problem 1. Why is this so?
Answer:
because less
Step-by-step explanation:
I'm not good at functions
Answer:
When x is equal to 1, y is equal to 18-2(1), which is equal to 16.
When x is equal to 2, y is equal to 18-2(2), which is equal to 14.
When x is equal to 4, y is equal to 18-2(4), which is equal to 10.
When x is equal to 5, y is equal to 18-2(5), which is equal to 8.
Let me know if this helps!
At a baseball game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Use the FOIL method to check your answer from part A.
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
Integrating sums of functions
Answer:
(a) -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = 5[/tex]
[tex]\displaystyle \int\limits^4_{10} {f(x)} \, dx = 8[/tex]
[tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx[/tex]
Step 2: Solve Pt. 1
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = \int\limits^{10}_6 {4f(x)} \, dx + \int\limits^{10}_6 {10} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4\int\limits^{10}_6 {f(x)} \, dx + 10\int\limits^{10}_6 {} \, dx[/tex]Step 3: Redefine
Manipulate the given integral values.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx = \int\limits^6_{10} {f(x)} \, dx[/tex][Integral] Rewrite: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx[/tex][Integral] Substitute in integrals: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 5 + 8[/tex][Integral] Add: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 13[/tex][Integral] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^{10}_6 {f(x)} \, dx = 13[/tex][Integral] [Division Property of Equality] Isolate integral: [tex]\displaystyle \int\limits^{10}_6 {f(x)} \, dx = -13[/tex]Step 4: Solve Pt. 2
[Integral] Substitute in integral: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10\int\limits^{10}_6 {} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(x) \bigg| \limits^{10}_6[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(10 - 6)[/tex][Integral] (Parenthesis) Subtract: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(4)[/tex][Integral] Multiply: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -52 + 40[/tex][Integral] Add: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -12[/tex]Topic: AP Calculus AB/BC
Unit: Integration
Book: College Calculus 10e
A godown measures 40 m * 25 m* 10 m. Find the maximum number of wooden crates
each measuring 1.5 m* 1.25 * 0.5
that can be stored in the godown.
Answer:
n = 10667
Step-by-step explanation:
The measure of a godown = 40 m × 25 m × 10 m
The measure of wooden crate = 1.5 m × 1.25 m × 0.5 m
We need to find the maximum number of wooden crates that can be stored in the godown. Let there are n wooden crates. So,
[tex]n=\dfrac{40\times 25\times 10}{1.5\times 1.25\times 0.5}\\\\n=10666.67[/tex]
or
n = 10667
Hence, there are approx 10667 wooden crates can be stored.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:
480y
Step-by-step explanation:
multiply 6 x 8 x 60= 480
Find the area of the shaded part (π=22/7)
Answer:
42cm square
Step-by-step explanation:
Frist find the area of the square. 14*14
Then find the Area of the circle.- (radius) one side of the square is the diameter so, diameter divided by 2 - 14/2=7
After that subtract the area of circle from the area of the square.
Answer:
first we find the area of the square.
area of square=side²
area of square =14²
area of square=196cm²
area of circle=pi×radius²
radius=14/2=7
area of circle=22/7×(7)²
area of circle =22/7×49
area of circle =154cm²
area of shaded region=area of square - area of circle
area of shaded= 196cm²-154cm²
area of shaded=42cm²
three consecutive odd integers are such that three times the smallest is 9 more than twice the largest find the three numbers
Answer:
17, 19, 21
Step-by-step explanation:
let the 3 consecutive odd numbers be n, n + 2 and n + 4 , then
3n = 2(n + 4) + 9 ( 3 times smallest is 9 more than twice the largest )
3n = 2n + 8 + 9
3n = 2n + 17 ( subtract 2n from both sides )
n = 17
n + 2 = 17 + 2 = 19
n + 4 = 17 + 4 = 21
The 3 numbers are 17, 19, 21
Confession Time: What's the grossest thing you've done?
I fed my brother worms when I was little, nobody found out...
Anyway, you're welcome for the points.
What explicit expression can be used to find any term of this sequence: 6, 9, 14, 21, ...
A) f(n) = 3n + 3
B) f(n) = n^2 + 5
C) f(n) = 2n^2 + 4
D) f(n) = n^2 + 3
Answer:1
Step-by-step explanation:
Write the 24 hour clock time which is 17min later than 13:55
Answer:
14:12
Step-by-step explanation:
Answer:
After entering a time in 24-hour format, this calculator lets you add and subtract a period to give a new time, also in 24 hour format. The 24 hour time format is also known as "military time".
For example, you could enter the time 15:00:00 (3 pm), then add 70 seconds to it which would give 15:01:10 ( 3:01 and 10 seconds pm).
Which words have vertical symmetry for all of the letters in the word? Check all that apply. MOM DIZZY HIT SEAT WAXY
Answer: 1, 3, 5
1.) MOM 3.) HIT 5.) WAXY
Step-by-step explanation: i hope this helps :)
The words in which all letters have vertical symmetry are MOM, HIT, and WAXY so options (A),(C), and (E) are correct.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
Vertical symmetry is the way by which a latter will completely coincide about a vertical axis.
For example word "A".
If we take a vertical axis in the mid of the word "A" then about this axis the whole word will coincide by left and right.
Thus, another words are M, O, T, Y, H, X.
The words containing the above letters are MOM, HIT, and WAXY.
Hence "The words in which all letters have vertical symmetry are MOM, HIT, and WAXY".
To learn more about symmetry,
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A set of counters is numbered 1 through 12. Suppose you draw one counter without looking. What is the probability of choosing a number greater than 4?
Question 5 options:
2/3
1/12
1/3
1/6