The function f(x) = 2 * (2) ^ x was replaced with f(x) + k resulting in the function graphed below
PLEASE HELP WILL MARK BEAINLY
Answers
Example:
f(x) = (x - 1)2, f(x) = 8x , f(x) = x2 - x , f(x) = 7. Summary: From the given functions, f(x) = 7 is the even function.
Related Questions
Given that point D is at (3,4) and point D' is at (5.-13). What rule shows the translation that occurred?
Answers
Answer:
I'm just here for points :3
Step-by-step explanation:
I don't know math
I need help finding the answer.A parallelogram must be a rectangle if it's diagonals:A. bisect the angles in the parallelogramB. are congruentC. are perpendicular to each otherD. bisect each other
Answers
Given:
A parallelogram must be a rectangle.
If the diagonals are congruent then the parallelogram must be a rectangle.
Option B is the final answer.
The list price of a smartphone is $299. A local Samsung dealer receives a trade discount of 20% find the trade discount amount and the net price.
Answers
ANSWER
Discount amount = $59.80
Net price = $239.20
EXPLANATION
We are given that the price list of the smartphone at the store is $299.
The Samsung dealer receives a trade discount of 20%.
This means that 20% of the price was taken off for the dealer.
To find the discount amount, we need to find 20% of $299.
That is:
[tex]\frac{20}{100}\cdot\text{ 299 = }4=\text{ \$59.80}[/tex]That is the discount amount.
To find the net price, we simply need to deduct the discount amount from the list price.
That is:
Net price = $239.20
That is the net price.
**A B C D E F G H I J K L M N O P Q R S T U V W X Y Z**If the code for HTML is JVON.What is the code for COMMIT?
Answers
If the code for HTML is JVON, it means that:
letter 8th (H) is letter 10th (J). Letter 20th (T) is letter 22th (V) and so on.
It means that the encoding is taking the letter 2 positions forward.
Hence C=E, O=Q, M=O, I=K, T=V.
The answer is EQOOKV.
8. Let f(x) = 3x and g(x) = (x + 2)^2. Find the value of (g o f)(4).*A.54B.108C.196D.432
Answers
Answer
Option C is correct.
(g o f)(4) = 196
Step-by-step Explanation
f(x) = 3x
g(x) = (x + 2)²
We are then told to find
(g o f)(4)
We need to first interprete what (g o f) means
(g o f) refers to writing g(x) with f(x) replacing x. That is, f(x) replaces all the x that the function given by g(x) has.
(g o f) = g[f(x)]
g(x) = (x + 2)²
g[f(x)] = [f(x) + 2]²
Recall that f(x) = 3x
g[f(x)] = [3x + 2]²
We can then go further now to obtain (g o f)(4)
(g o f)(x) = g[f(x)] = [3x + 2]²
(g o f)(4) = [3(4) + 2]²
= [12 + 2]²
= 14²
= 196
Hence, option C is correct.
(g o f)(4) = 196
Hope this Helps!!!
Write an equation (any form) for the quadratic graphed below:
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y = (1/2)x² + 2x + 2 is the equation of the parabola in the graph.
What is the equation of the parabola?From the graph, the parabola has a vertex at point (-2,0) and passes through point (0,2).
The general equation for a parabola with vertex is (h,k) is;
y = a( x - h)² + k
First we determine 'a' by substituting the given coordinates into the equation.
y = a( x - h)² + k
2 = a( 0 - (-2))² + 0
Solve for a
2 = a(2)²
2 = a( 4 )
a = 2/4
a = 1/2
Now, plug the vertex (-2,0) and a (1/2) into the general equation.
y = a( x - h)² + k
y = (1/2)( x - (-2))² + 0
Simplify
y = (1/2)( x +2) )² + 0
y = (1/2)( x + 2 )²
Expand using FOIL method
y = (1/2)( ( x + 2 )( x + 2 ) )
y = (1/2)( x² + 2x + 2x + 4 )
y = (1/2)( x² + 4x+ 4 )
Apply distributive property
y = (1/2)(x²) + (1/2)4x + (1/2)(4 )
y = (1/2)x² + 2x + 2
Therefore, the equation of the graph is y = (1/2)x² + 2x + 2.
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How would you
describe the
following events, of
randomly rolling 2
dice and having a
sum that is EVEN OR
GREATER THAN 9?
Answers
The probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.
As given,
Let us assume X is the event of the sum of two dice is even
Therefore
P(X) = The probability of having an even sum of two dice
Since all events are given in the question image, then
n(S) = Sample space = 36
X = {(1,1) , (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)}
n(X) = 18
Since
P(X) = n(A)/n(S)
P(X) = 18/36
P(X) = 1/2
Let us assume Y is the event of the sum of two dice is greater than 9, then
Y = {(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)}
n(Y) 6
P(Y) = n(Y)/n(S)
P(Y) = 6/36
P(Y) = 1/6
P(X∪Y) = P(A) + P(B)
= 1/2 + 1/6
= 4/6
= 2/3
Therefore, probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.
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10. Ariana's iPod battery lasts 6 hours. She listens to her iPod for 2/3 of an hour in theafternoon and another 2 5/6 hours in the evening.a) How much listening time is left on Ariana's iPod?b) What fraction of the battery's power is left? Justify your answer with adiagram.
Answers
We have the following:
The first thing is to transform the mixed numbers to decimal numbers, in the following way:
[tex]\begin{gathered} \frac{2}{3}=0.67 \\ 2\frac{5}{6}=2.83 \end{gathered}[/tex]a.
to calculate the remaining time we must subtract the times where music is heard from 6 hours
[tex]6-0.67-2.83=2.5[/tex]Therefore, the answer is 2.5 hours or 5/2 hours battery remaining
b.
To calculate the fraction we must calculate that it represents 2.5 or 5/2 hours in the total, that is, 6 hours
[tex]\frac{\frac{5}{2}}{6}=\frac{\frac{5}{2}}{\frac{6}{1}}=\frac{5\cdot1}{6\cdot2}=\frac{5}{12}[/tex]The diagram is:
Find the upper quartile of {2,5,13,21,29}
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Sort the list in increasing order:
[tex]\mleft\lbrace2,5,13,21,29\mright\rbrace[/tex]The median is 13, therefore the upper quartile Q3 is given by:
[tex]Q3=\frac{21+29}{2}=\frac{50}{2}=25[/tex]Answer:
25
IM DESPERATE I would like an explanation to go with the answer. THANK YOUOnly #5 and #6
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Therefore the original price is $299
[tex]6)\text{ selling price = 152+152}\times\frac{50}{100}=152+76=228[/tex]the selling price is $228
Quiana took out a loan to pay for a new car. Initially, she owed the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net change to the loan from Quiana’s perspective over the past 5 months?
Complete the steps below to help Quiana calculate the loan amount that she’s repaid to the lender.
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Answer:
13,325
Step-by-step explanation:
247.43 x 5
13,535
4r+1.1=6.6r-3.84 I can't if they say if both sign are the same
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Solution
For this case we have the following equation given:
4r + 1.1 = 6.6r -3.84
We can subtract 4r in both sides and we got:
1.1 = 2.6r -3.84
Then we can add 3.84 in both sides and we got:
2.6 r = 4.94
And then the value of r we got:
[tex]r=\frac{4.94}{2.6}=1.9[/tex]complete the table below to find the solutions to the linear equation y= 5x-5
Answers
Answer:
x y (x, y)
0 -5 (0, -5)
2 5 (2, 5)
1 0 (1, 0)
Explanation:
To fill a table, we need to give values to the variable x and then calculate the values of y.
So, if x = 0, then y is equal to:
y = 5x - 5
y = 5(0) - 5
y = 0 - 5
y = -5
If x = 2, then y is equal to:
y = 5x - 5
y = 5(2) - 5
y = 10 - 5
y = 5
If x = 1, then y is equal to:
y = 5x - 5
y = 5(1) - 5
y = 5 - 5
y = 0
Therefore, the complete table would be:
x y (x, y)
0 -5 (0, -5)
2 5 (2, 5)
1 0 (1, 0)
True or False for each one613 rounded to the nearest ten is 610.1,970 rounded to the nearest hundred is 1,900.54,318 rounded to the nearest thousand is 54,000.476,022 rounded to the nearest ten thousand is 470,000.
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To round a number to a specific place, look at the number to the right of that place. If the number is less than 5, round down. If it is greater than or equal to 5, round up.
Question 1: 613 rounded to the nearest ten is 610.
The tens digit in 613 is 1. To the right of 1 is 3. Therefore, the approximation of 613 is:
[tex]613\approx610[/tex]THIS STATEMENT IS TRUE.
Question 2: 1,970 rounded to the nearest hundred is 1,900.
The hundreds digit in 1,970 is 9. To the right of 9 is 7. This means that we will round up by adding 1 to 9. Therefore, the approximation will be:
[tex]1970\approx1900+100=2000[/tex]THIS STATEMENT IS FALSE.
Question 3: 54,318 rounded to the nearest thousand is 54,000.
The thousands digit is 4. To the right of 4 is 3. Therefore, the approximation is:
[tex]54318\approx54000[/tex]THIS STATEMENT IS TRUE.
Question 4: 476,022 rounded to the nearest ten thousand is 470,000.
The ten thousands digit is 7. To the right of 7 is 6. This means that we will round up. Therefore, the approximation is:
[tex]476022\approx470000+10000=480000[/tex]THIS STATEMENT IS FALSE.
Work out the volume of the prism below.
Give your answer in cm³.
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Answer:
first area is length by width
then our L is 4 and W is 5
=20
and volume is ,area 18 then 18 by 7=126
identify the constant ( s ) in the algebraic expression -3a + 5b - 15
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In the expression -3a + 5b - 15;
The constants are; -3, 5 and -15
The variables are; a and b.
What are the constants and variables?
A constant of an Algebraic Expression is simply a value that cannot be changed by inputting another value. For example in the algebraic expression; y³ = 4x³ - 7
The constants here will be 4 and -7 as they cannot be changed
Now, the variables in algebraic expressions are those that can be changed with different values and the equation will still be valid. For example, in the equation y³ = 4x³ - 7, the variables are y and x.
Thus, in our expression -3a + 5b - 15, the constants will be -3, 5 and -15 while the variables would be a and b.
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Walter earns $144 by painting his neighbor's shed. He spends 25% of his money on books. He is going to save 50% of the remaining money. How much money will he save?
Answers
Answer
Walter saved $54
Explanation
Walter earns $144.
He spent 25% of it on books.
25% of $144 = 0.25 × 144 = $36
Amount left after spending 25% = $144 - $36 = $108
He then saves 50% of the remaining money
50% of $108 = 0.5 (108) = $54
Hope this Helps!!!
Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent variable.)
Vertex:
(−3, −11);
point:
(0, 7)
Answers
The standard form of the quadratic function is- y = 2x² + 12x + 7
Here, we are given-
Vertex coordinate = (-3, -11)
Point on the graph = (0, 7)
The vertex form of a quadratic equation is given as-
y = a(x - h)² + k
Where h, k are the coordinates of the vertex.
a is the letter in general form of quadratic equation which is-
y = ax² + bx + c
Thus, here, h = -3, k = -11, x = 0 and y = 7
Substituting these values in the vertex form we get-
7 = a(0 - (-3))² - 11
⇒ 7 + 11 = 9a
9a = 18
a = 18/9
a = 2
Thus, the standard form of the quadratic equation can be calculated as-
y = 2(x - (-3))² - 11
y = 2x² + 12x + 18 - 11
y = 2x² + 12x + 7
Thus, the standard form of the quadratic function is- y = 2x² + 12x + 7
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help me please
thank you
Answers
Answer:
Domain: [tex](-\infty, \infty)[/tex]
Range: [tex][0, \infty)[/tex]
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
(PLEASE ANSWER) Complete the proof that the diagonals of parallelogram ABCD bisect each other.
Answers
The missing statements and reasons in the proof are 5) Δ AEB ≅ Δ CED and Δ AED ≅ Δ CEB, 5) By ASA rule and 6) AE ≅ CE and DE ≅ EB
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, ABCD is a parallelogram, we need to prove that the diagonals of parallelogram ABCD bisect each other.
The proof is as follows,
Statement Reason
1) AB CD and AD BC Given
2) ∠ 1 = ∠ 3 When a transversal crosses
parallel lines, alternate interior
angles are congruent.
3) ∠ 2 = ∠ 4 When a transversal crosses
parallel lines, alternate interior
angles are congruent.
4) AB = CD Opposite sides of a
parallelogram are congruent.
5) Δ AEB ≅ Δ CED
and Δ AED ≅ Δ CEB By ASA rule
6) AE ≅ CE and DE ≅ EB Corresponding parts of
congruent triangles are congruent,
7) Point E bisects both AC and BD Definition of bisector
Hence, proved.
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Solve for V₂.
V2:
S=(v₁-v₂) w/5
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The value is [tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]
What is an equation?
a mathematical statement that shows that two expressions are equal is known as expression.
We are given an equation [tex]s=\frac{(v_{1}-v_{2} )w }{5}[/tex]
Multiplying both sides by 5 we get
[tex]5s=(v_{1}-v_{2})w[/tex]
Dividing both sides by w,
[tex]\frac{5s}{w}=v_{1}-v_{2}[/tex]
Rearranging the equation we get,
[tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]
Therefore the value is [tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]
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After paying $20,000 for a car, you read that this model has decreased in value 15% per year over the last several years. If this trend continues, how much will the car be worth 5 years from now?
Answers
$8860
$8860 is the amount that is reduced after 5 years for the principal amount of $20,000 at a rate of interest 15%.
solution:When interest is compounded on the principal amount invested or borrowed, the interest rate is applied to the new (larger) principal.It's essentially interest on interest, which leads to exponential growth over time.Here ,
Given , P = $20,000
r = 15% = .15%
n = 5
since amount is getting decreased ,
formula of compound interest becomes,
A = [tex]p(1 - r)^{n}[/tex]
here P = principal amount , r = rate of interest and n = number of years.
= 20000(1 - .15)⁵
= 20000 x 0.443
= 8860
A = $8860
So , After paying $20,000 the value decreases by 15% after 5 yrs the value will be $8860.
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In slurfball, a fizzy is worth 2 points and a globbo is worth 5 points. K and W recently played for the surfball game. During the game, K scored eight more Fizzles then the W, but scored five fewer flobbos then the W, together the two teams scored 93 points total. What was the final score?
Answers
Using mathematical operations of addition, multiplication, division, and subtraction, the final score was:
K = 42 points
W = 51 points.
What are mathematical operations?
The basic mathematical operations for getting mathematical results from numbers, values, and variables include addition, multiplication, division, and subtraction.
In this situation, we apply these four basic mathematical operations.
Fizzy = 2 points
X = 5 points
Total scores = 93 points
The points in 8 Fizzy = 16 points (8 x 2)
The points in 5 X s = 25 points (5 x 5)
The equation showing the total scores of K = total scores + 16 - 25
= (93 + 16 - 25)/2
= 42 points
The equation showing the total scores of W = total scores - 16 + 25
= (93 - 16 + 25)/2
= 51 points
Hence, Final scores are K = 42 and W = 51.
Thus, applying mathematical operations, the final score shows that K scored 42 points while W scored 51 points, totaling 93 points for the two teams.
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If A=(2,-3,-4) and B(6,7,-4), find ||AB||. Round to 3 decimal places.Type your answer...
Answers
The rule we will use is
[tex]\parallel AB\parallel=\sqrt[]{(x2-x1)^2+(y2-y1)^2+(z2-z1)^2}[/tex]x1 = 2 and x2 = 6
y1 = -3 and y2 = 7
z1 = -4 and z2 = -4
[tex]\parallel AB\parallel=\sqrt[]{(6-2)^2+(7--3)^2+(-4--4)^2}[/tex]Now we will find the answer in decimal using the calculator
The answer is 10.77032961
Round it to 3 decimal places, then
[tex]\parallel AB\parallel=10.770[/tex]QuestionThe unknown triangle ABC has angle A = 56° and sides a = 32 and c = 34. How many solutions are there for triangleABC? if there are infinitely many, enter oo.
Answers
The law of sines is a theorem for triangle which states that for a triangle with sides a,b,c and angle A,B,C
[tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex]Where,
a=32
A=56
c=34
[tex]\begin{gathered} \frac{32}{\sin56}=\frac{b}{\sin B}=\frac{34}{\sin C} \\ \frac{32}{\sin56}=\frac{34}{\sin C} \\ \sin C=\frac{34\times\sin 56}{32} \\ \sin C=0.881 \end{gathered}[/tex][tex]\begin{gathered} \frac{b}{\sin B}=38.598 \\ b=38.598\sin B \\ \frac{b}{\sin B}=\frac{34}{\sin C} \\ \frac{38.598\sin B}{\sin B}=\frac{34}{0.811} \\ 38.598\ne41.92 \end{gathered}[/tex]For b and B is not full fill the condition of traiangle so zero triangle from ABC.
3 cm 00 What is the length of AC? A 1.5 cm C 6 cm B 3 cm D 9 cm is Which statement MUST be true? A AD BC В AD - BD CBD - AD D CDAD
Answers
The length of AC must be 3 cm letter B
Second question
Both B and C are correct.
A bag contains 5kg of rice 1g is taken for cooking.what is the ratio of the amount taken out to the original quantity
Answers
1g of rice is taken from a bag containing 5kg of rice for cooking. The ratio of the amount taken out to the original amount is 5:1.
What is meant by ratio?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion exists in an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls) One-quarter are boys and three-quarters are girls. A ratio shows the number of terms one numeral contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
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What is the first step in solving a quadratic equation of the form given below?
(ax + b)² = c
Answers
Answer:
take square root on both side
Step-by-step explanation:
127x
10
0
6
4
--5-4-3 1₂
10
Mark this and return
169
909
4 5 6 x
Which statement is true regarding the functions on the
graph?
Of(-3)=g(-4)
Of(-4)= g(-3)
Of(-3)=g(-3)
Of(-4)= g(-4)
Answers
Answer:
NJ and the other day and t I don't know what to do it again and again and again and again and again and again and again and again and again and again and again and again and again I will be a good night my dear sister and her and I will have to go in
NEED HELP ASAP PLSPLS
Answers
Answer:
a= 2
b = 6
c = 2
d = 2
e = 7
f = 2
g = 1
h = 1
R = .3 (repeating)
Step-by-step explanation:
