Transforming the function f(x) would change its formula to g(x)
The transformation of f(x) to g(x) are
Transform the function 2 units leftTransform the function 3 units upHow to determine the transformation?The function is given as:
f(x) = e^x
Shift the function 2 units left
f'(x) = e^x + 2
Shift the function 3 units up
f''(x) = e^x + 2 + 3
Rewrite as:
g(x) = e^x + 2 + 3
Hence, the transformation of f(x) to g(x) are (b) and (c)
Read more about transformation at:
https://brainly.com/question/4057530
please help me with this question
Answer:
71
Step-by-step explanation:
The mean is the average. There are two ways to do this question shown.
1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-
88+100+76+92+83=439.
439/5=87.8
The current average is 87.8. Now, you can add and divide again.
439+71=510. 510/6=85.
You now have the answer. However, you might want to check again.
439+76=515
515/6=85.833....3
It is more than 85, so the answer is 71.
2- Find out how much more all the numbers are than the smallest number.
First, I'll organize it.
-76, 83, 88, 92, 100-
The smallest number is 76, so subtract 76 from each.
0, 7, 12, 16, 24 added up together is 59.
59/5=11.8
76+11.8=87.8
That also gives you that the average is 87.8.
You can then see how much or less the number is than the average and then add.
71 is five LESS than the average, so it's -5.
54/6=9.
9+76=85.
Thus, 71
Write 0.000000207 in scientific notation:
Answer:207x10^-7
Step-by-step explanation:
Answer:
2.07*10^-7
Step-by-step explanation:
FInd the area of the shaded polygon
120 sq.un
area of parallelogram = base * height
Here given the following,
base = 15height = 8 area of shaded polygon: 15 * 8 = 120 sq.un(a)
Y is
inversely proportional to the square of x.
The Given that y = 10 for a particular value of X,
find the value of y
when this value of x
is halved.
Answer:
y = 40
Step-by-step explanation:
y = k/x²
Let a = the x-value corresponding to y = 10
For x = a, y = 10
10 = k/a²
k = 10a²
The function is:
y = 10a²/x²
Now we halve the x-value a:
Let x = a/2.
y = 10a²/x²
y = 10a²/(a/2)²
y = 10a²/(a²/4)
y = 40
I need help with this problem?
Answer:
Step-by-step explanation:
Volume of cylinder:
[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]
Bottom cylinder:
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
Upper cylinder:
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
find the four geometric means between 5 and 1215
find side x using sine rule
Answer:
x = 10.76 cm
Step-by-step explanation:
[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]
[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]
Hope this helps
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answer:
The answer to the equation is: x + y ≥ 45
because In the question "Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?" Since the total time he spent on both is 45 minutes or more, it means that the sum of x and y is greater than or equal to 45. Therefore, the required equation is x + y ≥ 45
Step-by-step explanation: can u give brainliest please i am the fisrt person to answer u
Jamaal spent x minutes practicing guitar and y minutes on homework -> the total time he spent on both is x + y
It says that the total time is 45 minutes or more, which means the time he spent must be at least 45 minutes or above.
So, the option that fits the most is x + y ≥ 45
Uh can someone tell me the answer to this im kinda stuck.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{40}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{8}{9} [/tex]
Hence, the correct choice is D
Answer:
D) 8/9
Step-by-step explanation:
There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...
"invert and multiply", or "dot swap", andnumerators of the same denominator.__
SignsThe sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)
__
Invert and MultiplyAs with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]
[tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]
The result can be reduced by cancelling common factors in this process.
[tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]
__
Numerators of the Same DenominatorFor this method, both the dividend and the divisor need to be expressed over the same denominator.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]
We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.
[tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]
one student incorrectly obtain an answer4/3x10/1=40/3=13 1/3 and says 13 portions can be made explain what mistake that as made in the calculations.
Answer:
They did the multiplication incorrectly
Step-by-step explanation:
7. Nine more than three times a mumber is -6
Answer:
-5
Step-by-step explanation:
Your equation will look like this:
3x+9=-6
Subtract 9 from both sides.
3x+9−9=−6−9
3x=−15
Divide both sides by 3.
3x/3=−15/3
x=−5
Hope this helped!
The asked number is -5
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, nine more than three times a number is -6, we need to find the number,
Let us consider the asked number be x
Establishing the equation, we get;
3x+9 = -6
Subtract 9 from both sides.
3x+9-9 = -6-9
3x = -15
Divide both sides by 3.
3x/3 = -15/3
x = -5
Hence, the asked number is -5
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ7
a soccer ball went on sale from 30 to 24 by what percentage was the price of the soccer ball reduce
Answer:
20%
Step-by-step explanation:
It was reduced by 20%. 24 is 80% of 30.
What is the area of this rectangle?
16 sq m
18 m
14 sq m
9 m
HELLLPP MEEE
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by:
[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
The side lengths of three triangles are shown in the table. Which of the triangles is a right triangle? Select all that apply. Triangle Side Lengths | 610 810 1 || 7 7 13 ||| 313 413 513 A. Triangle I B. Triangle II C. Triangle III D. None of the above E. All of the above
To identify whether or not a triangle is a right triangle, it must satisfy the pythagorean theorem : [tex]a^{2}+ b^{2} =c^{2}[/tex] (where a;b;c represent the 3 sides, and c being the hypotenuse)
Replace the lengths :
Triangle 1 : [tex]1^{2} + 610^{2} \neq 810^{2}[/tex] (not right triangle, also does not satisfy the triangle inequality, so not a real triangle)
Triangle 2 : [tex]7^{2} + 7^{2} \neq 13^{2}[/tex] (not right triangle)
Triangle 3 : [tex]313^{2} + 413^{2} \neq 513^{2}[/tex] (not right triangle)
So, correct answer is D
600 people visited the mall today and 8% of these people made a purchase. How many people made a purchase?
Answer:
48 made a purchase
Step-by-step explanation:
8% of 600
= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )
= 8 × 6
= 48
60 ft
60 ft
30t)
60 ft
60ft
30 ft.
Answer:
7290ft^2
Step-by-step explanation:
60*30=1800
then multiply that by 4 because of the 4 rectangle
1800*4=7200
multiply 30*30 to get 90 then add that on
7290
What is one-fourth divided by 4 wholes
Given the set of data below. 1 /2 , 1 /2 , 3 /2 , 3 /2
It's not really a specific question, but can someone pleeeeease explain how to do constant of proportionalities from tables! I've watched the khan videos on it, but it's just not clicking for me. Please help!
Answer:
by looking in the copy and learning the tips or step how to do it
Answer:
For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.
Step-by-step explanation:
Hope this helped you understand it better
~Heaven~
А.
8
В B.
7
D
=
CD = [?]
Enter the number that belongs in
the green box.
Answer:
8
Step-by-step explanation:
Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.
AB=CD
The zero product property states that if a . b = 0, then a = 0, b = 0, or both a = 0 and
b=0.
Speculate as to how you think this property might help you when you solve algebraic
equations of the form: (x-r) (xs) = 0.
Answer:
We all know that if one factor is equal to zero, then the product of all factors is equal to zero.
[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]
You have to rewrite the equation as a factored quadratic set both equal to zero.
Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex] to [tex](2-2)(-2+2) =0[/tex]
[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]
I hoped this helped
Do number 10 please
To solve this problem, let's first understand the information given
⇒ says that 150% of expected people showed up
⇒ the number of expected people is 340
⇒ means 150% of 340 is the number of people who showed up
⇒ written mathematically 150% is equivalent to 150/100.
To find the exact number of people we must time 150/100 to 340
[tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]
That means 510 people showed up
Hope that helped!
PLEASE PLEASE HELP! I NEED IT TO BE CORRECT!
Answer:42.83 i think
Step-by-step explanation:
Answer:
42.83
Hope this helps and have a great day!!!
ENJOY!
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, In cubic centimeters, of the cereal box?
Answer:
You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.
Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.
please help me with this Pythagorean Theorem
Answer:
[tex]\sqrt{22.25}[/tex]
Step-by-step explanation:
4 ^ 2 is 16
2.5 ^ 2 is 6.25
16 + 6.25 is 22.25
The square root of 22.25 is undefined so...
[tex]\sqrt{22.25}[/tex]
it math questions Trigonometry
Answer:
25.5
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(49°) = x/(22.2 m)
Multiplying by the denominator, we get ...
x = (22.2 m)tan(49°) ≈ 25.5 m
The unknown side is about 25.5 meters.
hi , can anyone help me on this question using cross multiplication.
[tex]\textbf{7).}\\\\2g^2 +5g+3\\\\=2g^2 +3g+2g+3\\\\=g(2g+3)+(2g+3)\\\\=(g+1)(2g+3)\\\\\\\textbf{10).}\\\\-6k^2+5k+21\\\\=-(6k^2 -5k-21)\\\\=-(6k^2-14k+9k-21)\\\\=-\textbf{[}2k(3k-7)+3(3k-7) \textbf{]}\\\\=-(2k+3)(3k-7)\\[/tex]
Given p(x) = -4(x-15)[tex]p(x) = -4(x-15)x^{2} +2.[/tex]
Given that a+b=7; and a-b=3.. find the following, 2^a*2^b ( 2 to the power of a * 2 to the power of b) Please help asap, Thanks! :)
Answer:
128
Step-by-step explanation:
first solve the equations. a+b=7. a-b=3. a=3+b .Hence a(3+b)+b=7. 3+b+b=7. 3+2b=7. 2b=7-3. 2b=4. b=2. a-2=3. a=5. 2^5×2^2=128