We can see that the graph of F(x) was moved 2 units up to get the graph of G(x). Adding 2 units to F(x) we have:
G(x) = 3 - x^4 + 2
G(x) = 5 - x^4
The answer is 5 - x^4
3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
if f(x) = -5x+11, then f^-1(x)=
Answer:
f(x)= -5x-11
y= -5x-11
x= -5y-11
x+11= -5y
\(\frac{x=11}{-5} =y\\f-1=\frac{x+11}{-5}\)
Step-by-step explanation:
Hope this helps.
Find the general expression for the slope of a line tangent to the curve of y = 2x² + 4x at the point P(x,y). Then find
the slopes for x = -2 and x = 0.5. Sketch the curve and the tangent lines.
EXE
What is the general expression for the slope of a line tangent to the curve of the function y = 2x² + 4x at the point
P(x,y)?
mtan=?
Answer:
general slope: y' = mtan = 4x +4slope at x = -2: -4slope at x = 0.5: +6Step-by-step explanation:
You want the slope of a line tangent to the curve y = 2x² +4x, and a graph of the tangent lines at x=-2 and x=0.5.
SlopeThe slope of the curve is given by the derivative of the polynomial:
y' = 4x +4 . . . . . . general expression for slope at P(x, y)
Tangent at x=-2The slope at x = -2 is ...
y' = 4(-2) +4 = -4
The value of y at x=-2 is ...
y = (2(-2) +4)(-2) = 0
In point-slope form, the equation of the tangent line with slope -4 at point (-2, 0) is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -0 = -4(x +2) . . . . . line with slope -4 through point (-2, 0)
y = -4x -8 . . . . . tangent line at x = -2
Tangent at x = 0.5The slope at x = 0.5 is ...
y' = 4(0.5) +4 = 6
The function value is ...
y = (2(0.5) +4)(0.5) = 2.5
The point-slope equation of the tangent is ...
y -2.5 = 6(x -0.5) . . . . . tangent line at x = 0.5
__
Additional comment
The derivative of a function y can be signified by a prime: y'. The derivative is the slope. The slope of the curve is the same as the slope of a tangent to the curve, so we have ...
mtan = y' = 4x+4
A right triangle has sides 20 and 48. Use the Pythagorean Theorem to find the length of the hypotenuse
Answer: Let the length of the hypotenuse be x
Applying the Pythagorean theorem we have :
x²=20²+48²
⇒x²=2704
⇒x=52( ∀ x >= 0 )
Step-by-step explanation:
Let assume the hypotenuse(longest side of right triangle) be x
By Pythagoras theorem
\( \bf \large \longrightarrow \: {c}^{2} \: = \: {a}^{2} \: + \: {b}^{2} \)
c = xa = 20b = 48Applying Pythagoras theorem
\( \bf \large \implies \: {x}^{2} \: = \: {20}^{2} \: + \: {48}^{2} \)
\(\bf \large \implies \: {x}^{2} \: = \:400 \: + \: 2304\)
\(\bf \large \implies \: {x}^{2} \: = \:2704\)
\(\bf \large \implies \: \sqrt{x} \: = \: \sqrt{2704} \)
\(\bf \large \implies \: \: x \: = \: 52\)
Hence , the length of hypotenuse is 52.
A photographer buys a new camera for $1350. Every year the camera decreases in value by 10%.
Which exponential function can be used to find the value of the camera after t years?
A(t)=1350(1.1)t
A(t)=1350(1.9)t
A(t)=1350(0.9)t
A(t)=1350(0.1)t
Answer:
A(t)=1350(0.9)^t
i hope this helps :)
The value of exponential function which can be used to find the value of the camera after t years is,
⇒ A( n ) = 1350 (0.9)ⁿ
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
A photographer buys a new camera for $1350.
And, Every year the camera decreases in value by 10%.
Hence, The value of exponential function which can be used to find the value of the camera after t years is,
⇒ A( n ) = 1350 (1 - 10%)ⁿ
⇒ A( n ) = 1350 (1 - 0.10)ⁿ
⇒ A( n ) = 1350 (0.9)ⁿ
Thus, The value of exponential function which can be used to find the value of the camera after t years is,
⇒ A( n ) = 1350 (0.9)ⁿ
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What an equation that represents the line.
Answer: The answer is y = 2x + 2
Answer these please. :0
Answer:
I wrote the answers below
Step-by-step explanation:
x+3<70------>0,60
-5x<2--------->3,5
5x<2---------->-3,-1
-3x>18-------->-10,-20
Question is on the picture
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word \("2x + 3"\) Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations \("x2 + 2x - 3 = 0\) ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends \(20\) of her time napping.
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HELPPPPP Find the value of x.
its 60 answer C.............
please can someone help will give brainliest. No links or will get banned?
Answer:
102cm²
Step-by-step explanation:
Step 1 find the area of the whole rectangle
Area of a rectangle = width times length
The width of the rectangle is 20 cm and the length is 6cm
So the area = 20 * 6
20 * 6 = 120
Hence the area of the rectangle is 120 square centimeters.
Step 2 Find the area of the square and the triangle
Area of square = s²
where s = side length
The square has a side length of 3 so the area of the square = 3²
3² = 9
Hence, the area of the square is 9cm²
Now to find the area of the triangle
area of a triangle = where b = base length and h = height
We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)
Now to find the base length
We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )
so triangle's base length = 20 - 11 - 3
20 - 11 - 3 = 6
so the base length of the triangle is 6 cm
now we plug in the values of the height and the base length into the formula
Hence the area of the triangle is 9 cm²
Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle
so your answer = 120 - 9 - 9
120 - 9 - 9 = 102
Hence, the area of the shaded region is 102 square centimeters.
Please I need help with this questions help me pls
Answer:
hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? Group of answer choices x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2
The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:
a = 1
b = -3
c = -5
Now, we can apply the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula:
x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))
x = (3 ± √(9 + 20)) / 2
x = (3 ± √29) / 2
Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2
x = (3 - √29) / 2
The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
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plz help me i am trying to get this done
Answer:
2700
Step-by-step explanation:
108*25=2700
100*25=2500
+
8*25=200
-------------------------------
2700
What operation would isolate the variable -11 + m = 26
Answer:
the addition property
Step-by-step explanation:
to isolate the m you would add 11 to each side to cancel out -11 so m=37
CSA Unit 2A-Solving Quadratic Functions
Part 2 (2 questions)
1 f(x) = x2 - 6x + 8
Complete parts -h for the quadratic function
a. Make a table and graph the quadratic equation
b. Axis of Symmetry
c. Vertex
d. Y-intercept
e Max/Min
f Roots
& Domain
х
Y
h. Range
Solve the following quadratic ("hintº find the zeros.)
2 2x2 – 24x + 72 = 0
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
1. The angles in an obtuse triangle are x' +45, 2x +95, and 3x+48. Find the measure of the
angles of the triangle,
9514 1404 393
Answer:
43 2/3°92 1/3°44°Step-by-step explanation:
The sum of angles in any triangle is 180°.
(x +45) +(2x +95) +(3x +48) = 180
6x +188 = 180 . . . . . . . . collect terms
6x = -8 . . . . . . . . . . . subtract 188
x = -4/3 . . . . . . . . divide by 6
Then the angles are ...
x +45 = -4/3 +45 = 43 2/3°
2x +95 = 2(-4/3) +95 = 92 1/3° . . . . the obtuse angle
3x +48 = 3(-4/3) +48 = 44°
Need help fast...
Match the input values on the left with the output values on the right. y = x/2 + 1 1)3 X 2)Y 2 3)2 4 4)4.5 7 5)5.5 9
Answer:
(X,Y)
(2,2)
(4,3)
(7,4.5)
(9,5.5)
Step-by-step explanation:
To match the input values with the output, substitute each value on the right into the equation.
1) x
\(\displaystyle\begin{aligned} y & = \frac{(x)}{2}+1 \\ \\ & = \frac{x}{2} + 1\end{aligned}\)
The equation remains the same. Hence, x maps onto y.
2) 2
\(\displaystyle \begin{aligned} y &= \frac{(2)}{2}+1 \\ \\ & = 2\end{aligned}\)
Therefore, map 2 with 2.
3) 4
\(\displaystyle \begin{aligned} y& = \frac{(4)}{2}+1 \\ \\ & = 3\end{aligned}\)
Therefore, match 4 with 3.
4) 7
\(\displaystyle \begin{aligned} y& = \frac{(7)}{2}+1 \\ \\ & = 3.5 + 1 \\ \\ & = 4.5\end{aligned}\)
Therefore, match 7 with 4.5.
5) 9
\(\displaystyle \begin{aligned} y& = \frac{(9)}{2}+1 \\ \\ & = 4.5 + 1 \\ \\ & = 5.5\end{aligned}\)
And finally, match 9 with 5.5.
Answer:
thanks for the points
Step-by-step explanation:
If trapezoid ABCD was dilated by a scale factor of 2\3 to form trapezoid A'B'C'D,what is the area of trapezoid ABCD?The area of trapezoid A'B'C'D is 12 units^2
As a general rule, we know that the area of a dilated figure is the area of the original figure multiplied by the square of the scale factor. We can see this in the following formula:
\(A=A^{\prime}\cdot k^2\)where A is the area of the original figure, A' is the area of the dilated figure and k is the scale factor.
In this case, we have that the area of the dilated figure (trapezoid A'B'C') is 12 square units, and the scale factor is k = 2/3. Then, using the equation we get the following:
\(\begin{gathered} A^{\prime}=12 \\ k=\frac{2}{3} \\ \Rightarrow A=12\cdot(\frac{2}{3})^2=12\cdot(\frac{4}{9})=\frac{12\cdot4}{9}=\frac{48}{9}=5\frac{1}{3} \\ A=5\frac{1}{3}u^2 \end{gathered}\)therefore, the area of trapezoid ABCD is 5 1/3 square units
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
How tall is a pole if a 40 ft guy wire reaches from the top of that pole
to a point on the ground 19 ft from the bottom of the pole?
Find the product of (4x − 3)(x + 2).
4x2 + 5x − 6
4x2 − 5x − 6
4x2 + 11x − 6
4x2 − 11x − 6
nswer:
Step-by-step explanation:
Step-by-step explanation:
We can use the FOIL method to find the product of (4x − 3)(x + 2):
(4x − 3)(x + 2) = 4x(x) + 4x(2) - 3(x) - 3(2)
= 4x^2 + 8x - 3x - 6
= 4x^2 + 5x - 6
Therefore, the product of (4x − 3)(x + 2) is 4x^2 + 5x − 6. Answer: (A)
Step-by-step explanation:
(4x-3)(x+2)
4x*x,4x*2,-3*x,-3*2
4x2+8x-3x,-6
4x2(8x-3x)-6
4x2+5x-6
so the answer is A
hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
Please explain your answer. Will mark Brainliest (question 9)
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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Round to the nearest thousands 34,385
need help
Answer:34,000
Step-by-step explanation:
Answer:
its 34,000 because it below 5
Step-by-step explanation:
brainliest please
A study wants to show that the most expensive cars get stopped for speeding more often. Which of the following issues is most likely to bias the results?
Group of answer choices
The gas mileage of the various cars
The state the car comes from
Expensive cars draw more attention than cheaper cars
The functionality of the radar gun used for gauging speed
The age of the tires on the cars
Expensive cars draw more attention than cheaper cars is most likely to bias the results.
The capacity of expensive automobiles to provide a smooth ride or to filter out road irregularities so that the occupants may drive in the utmost comfort is typically associated with their plush ride quality.
The underlying engineering, including the suspension design, weight distribution, and wheel size, affects ride quality. The suspension in most low-cost vehicles is built to function well in most conditions.
Handling is the ease with which a vehicle must undergo quick or successive changes in directions without upsetting the driver. Handling depends on the chassis design and suspension design. Usually, handling is inversely proportional to ride quality, as great handling vehicles require a stiffer suspension.
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Mr. T gave the clerk $10 to pay for 5 pairs of blue gloves. The clerk gave him $4.65 in
change. Each pair of blue gloves cost the same amount. What is the cost in dollars and
cents for each pair of gloves?
Answer:
each blue glove is 1.07
Step-by-step explanation:
10-4.65=5.35
5.35/5=1.07
Answer:1.07
Step-by-step explanation:10-4.65=5.35
5.35/5=1.07
Find the measure of angle 1
Find the measure of angle 2
Answer:
Angle 1= 45°
Angle 2= 90°
Step-by-step explanation:
Angle is found when you divide 90 by 2
We do this because all edges of a square add up to 90 and this angle is split in half, which is why we divided by 2
The to find angle 2 you get 45 for the left side of the triangle, 45 on the right side add them, which will give you 90, then subtract from 180 because angles in triangle equals 180 when you do this you get 90.