Answer:
Already answered on the other one
Step-by-step explanation:
#1
\(\\ \rm\Rrightarrow (gof)(-1)\)
\(\\ \rm\Rrightarrow g(f(-1))\)
\(\\ \rm\Rrightarrow g(2(-1)^2-(-1))\)
\(\\ \rm\Rrightarrow g(2+1)\)
\(\\ \rm\Rrightarrow g(3)\)
\(\\ \rm\Rrightarrow 3+1\)
\(\\ \rm\Rrightarrow 4\)
#2
\(\\ \rm\Rrightarrow (fog)(-1)\)
\(\\ \rm\Rrightarrow f(g(-1))\)
\(\\ \rm\Rrightarrow f(-1+1)\)
\(\\ \rm\Rrightarrow f(0)\)
\(\\ \rm\Rrightarrow 2(0)^2-0\)
\(\\ \rm\Rrightarrow 0\)
#3
\(\\ \rm\Rrightarrow (gof)(x)\)
\(\\ \rm\Rrightarrow g(f(x))\)
\(\\ \rm\Rrightarrow g(2x^2-x)\)
\(\\ \rm\Rrightarrow 2x^2-x+1\)
#4
\(\\ \rm\Rrightarrow (fog)(x)\)
\(\\ \rm\Rrightarrow 2(x+1)^2-x\)
\(\\ \rm\Rrightarrow 2(x^2+2x+1)-x\)
\(\\ \rm\Rrightarrow 2x^2+4x+2-x\)
\(\\ \rm\Rrightarrow 2x^2+3x+2\)
#5
No they are not equal
A number is between 40 and 45 . It has prime factors of 2 and 11. What is the number?
Answer: 42
Step by step:
42 is divisible by both 7 and 2
Answer:
44
Step-by-step explanation:
4 x 11 = 44
2 x 22 = 44
Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?
Answer:
The usual representation of a proportional relationship is ...
y = kx
You want the constant of proportionality (k) to be 7/10, so this is ...
y = (7/10)x
Dividing by x gives the equivalent relationship ...
y/x = 7/10
Question 7: Help Me Please
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
QS is the intersector
<UQT=<QSR(Alternative interior angles)=52°Similarly
<UTQ=<URS=42°Now
Diagonals of parallelogram bisect eachother
\(\\ \rm\Rrightarrow 4x+1=5\)
\(\\ \rm\Rrightarrow 4x=4\)
\(\\ \rm\Rrightarrow x=1\)
find out information and fibonnaci sequence collect information on poatterns found in nature
The Fibonacci series is solved and information on patterns is found
Given data ,
The Fibonacci sequence is a series of numbers where each number is the sum of the previous two numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. This sequence can be found in many aspects of nature, including:
a)
The branching of trees and plants: The number of branches on a tree or plant often follows the Fibonacci sequence.
b)
The arrangement of leaves on a stem: The number and angle of leaves on a stem often follow a pattern related to the Fibonacci sequence.
c)
The spirals of shells and snail shells: The number of spirals often follows the Fibonacci sequence
Hence , the fibonacci series is solved
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18. Which of the following triangles is similar to APQR?
A.
B.
12
9
115
12
21
15
C.
D.
10
R
18
17.5
P
6
Answer: D
Step-by-step explanation:
21/17.5 = 18/15
So the triangles are similar by SAS.
How do I work this out please? (Higher GCSE mathematics)
Answer:
259.3
Step-by-step explanation:
1) f(x) = x(x − 4)³(x+4)²
x-intercepts:
Positive or Negative
Even or Odd
End Behavior:
The given function has
x-intercepts: x = 0, x = 4, x = -4, x = -4i and x = 4i.
Positive or Negative: The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.
Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.
End behavior: x approaches positive or negative infinity the value of f(x) approaches positive infinity.
What is a function?
A function is a mathematical relationship between a set of inputs (referred to as the domain) and a set of outputs (referred to as the range). In other words, a function assigns a unique output to each input value in the domain.
Given the function f(x) = x(x − 4)³(x+4)²
x-intercepts: The x-intercepts are the points at which the function crosses the x-axis, meaning the y value is equal to zero. To find the x-intercepts we need to set f(x) = 0 and solve for x.
x(x - 4)^3(x+4)^2 = 0
the x-intercepts of the function f(x) = x(x - 4)^3(x+4)^2 are x = 0, x = 4, x = -4, x = -4i and x = 4i.
Positive or Negative: The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.
Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.
End Behavior: The end behavior of this function is that as x approaches positive or negative infinity the value of f(x) approaches positive infinity.
Hence, the given function has
x-intercepts: x = 0, x = 4, x = -4, x = -4i and x = 4i.
Positive or Negative: The function f(x) = x(x − 4)³(x+4)² is positive for x > 0 and negative for x < 0.
Even or Odd: The function f(x) = x(x − 4)³(x+4)² is an even function.
End behavior: x approaches positive or negative infinity the value of f(x) approaches positive infinity.
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X3-x-9=0 bisection method
Step-by-step explanation:
The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].
Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.
Now we can apply the bisection method as follows:
Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.
Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.
Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.
Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.
Evaluate f© ≈ 1.765625.
Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.
We can continue this process until we reach the desired level of accuracy.
Find the number that if subtracted from 7 and 12, the product of the two numbers gives 104
6 is the number i think that
-1 is the number that if subtracted from 7 and 12, the product of the two numbers gives 104
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
We need to find the number that if subtracted from 7 and 12, the product of the two numbers gives 104
We need to find two integer factors of the number 104 that multiply up 104 and differ by 12-7 = 5 units
104=2×52
104=4×26
104=8×13
If we consider the unknown number as (-1) then
number that if subtracted from 7
7-(-1)=8
number that if subtracted from 12
12-(-1))=13
8×13=104
Hence -1 is the number that if subtracted from 7 and 12, the product of the two numbers gives 104.
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on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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Selma had a 2L bottle of water. She drank 450mL. How much water was left in the bottle, in milliliters?
Answer:
1550mL
Step-by-step explanation:
Change Litre to milliliters :
2L = 2×1000 ml
= 2000 ml
2000ml- 450ml
= 1550 ml
3x+8y=12 what is the slope of the line representEd
Answer:
X= 1.091
Step-by-step explanation:
Is 7-¹ a negative number? Explain.
Answer:
No
Step-by-step explanation:
\(7^{-1}\) is a fraction
using the rule of exponents
• \(a^{-m}\) = \(\frac{1}{a^{m} }\)
then
\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction
PLEASE ASNWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!
Which stanza has figurative language and what kind?
He has left the village and mounted the steep,
82. And beneath him, tranquil and broad and deep,
83. Is the Mystic, meeting the ocean tides;
84. And under the alders, that skirt its edge,
85. Now soft on the sand, now loud on the ledge,
86. Is heard the tramp of his steed as he rides.
Answer:
86 is is figurative language
The volume of this rectangular prism is 160 cubic yards. What is the surface area?
10 yd
surface area =
Submit
0
4 yd
square yards
4
Answer: The surface area of the rectangular prism is approximately 4 square yards.
Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
So, we have:
160 = lwh
Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.
Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:
lw = V/h = 160/10 = 16
Now, we have two equations:
lw = 16
wh = 160/10 = 16
Solving for w in the first equation, we get:
w = 16/l
Substituting this expression for w in the second equation, we get:
l(16/l)h = 16
Simplifying, we get:
h = 1
Therefore, the dimensions of the rectangular prism are:
length = l
width = 16/l
height = 10
Now, we can calculate the surface area of the rectangular prism using the formula:
SA = 2lw + 2lh + 2wh
Substituting the values we found, we get:
SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))
SA = 32/l + 20l + 160/l
To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:
dSA/dl = -32/l^2 + 20 + (-160/l^2)
0 = -32/l^2 + 20 - 160/l^2
52/l^2 = 20
l^2 = 52/20
l ≈ 1.44
Substituting this value of l back into the expression for SA, we get:
SA ≈ 4 square yards
Therefore, the surface area of the rectangular prism is approximately 4 square yards.
I need help will give brainliest if right
Answer:
X =7
Step-by-step explanation:
find x;
45 IS base,
so 45 power X = 45^7
45^x = 45^7
45 will cancel out remaining x=7
therefore x= 7
what is 11/4 times 4/9
Answer: 11/9
Step-by-step explanation:
you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9
Answer:
11/4 times 4/9 is 11/9
Step-by-step explanation:
We have to find,
(11/4) times 4/9
\((11/4)(4/9) = (11*4/4*9)\)
We can cancel the 4s from the numeratorand denominator to get,
\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)
The answer is 11/9
What is 0.0035 in scientific notation?
Answer:
3.5*10^-3
Step-by-step explanation:
Answer: 3.5 x 10^-3
Step-by-step explanation:
Hope this helps
the graph of y=f(x) is shown below find all values of x where f(x)=1
the values of x where f(x) = 1 for the function y = x^2 - 2x + 1 are x = 0 and x = 2.
general steps to find all values of x where f(x) = 1 for a given function y = f(x):
1. Set f(x) equal to 1: f(x) = 1.
2. Solve the equation for x. This may involve algebraic manipulation or using techniques such as factoring, completing the square, or using the quadratic formula, depending on the form of the equation.
3. If the equation has multiple solutions, list them all as the values of x where f(x) = 1. If the equation has no solutions, then there are no values of x for which f(x) = 1.
For example, if the function is y = x^2 - 2x + 1, then setting f(x) = 1 gives:
x^2 - 2x + 1 = 1
Simplifying this equation by subtracting 1 from both sides, we get:
x^2 - 2x = 0
Factoring out x, we get:
x(x - 2) = 0
This equation is satisfied when either x = 0 or x = 2. Therefore, the values of x where f(x) = 1 for the function y = x^2 - 2x + 1 are x = 0 and x = 2.
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Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations that can be used to determine the length of the room are:
y(y + 5) = 750
y²– 5y = 750
(y - 30) (y + 25) = 0
What are the equations that can be used to determine the length of the room?A rectangle is a two-dimensional object that has four sides and four right angles. The sides of a rectangle are known as the width and the length. A rectangle has two diagonals of equal length which bisect each other at right angles.
Area of a rectangle = length x width
Length = y Width = y - 5750 = y x (y - 5)
750 = y² - 5y
y² - 5y - 750 = 0
The factors of -750y² that add up to -5y are 25y and -30
(y² + 25y)(-30y - 750) = 0
y(y + 25) = 0
-30(y + 25) = 0
(y - 30) (y + 25) = 0
Here is the complete question:
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
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PLEASEEE HELP ME SOMEONE PLEASEE ASAP.
You get 5/10, or simplified as 1/2.
The slope formula is rise over run, or Y(1)-Y(2)/X(1)-X(2), which becomes 5-0/14-4. That then simplifies to 5/10, or 1/2
20 Points!!!!!
Find the cofactors of each entry in the first row of the matrix
Answer:
can you make the more clear
Find the volume of the following figure round your answer to the nearest tenth if necessary and use pi
Answer:
Volume = 1152 x pi km^3
Step-by-step explanation:
Volume = 1/3 x pi x r^2 x h
Volume = 1/3 x pi x 12^2 x 24
Volume = 1152 x pi
Translate this equation into a verbal sentence.
4(a + b) = 9a
Answer:
Four times a plus b equals nine times a
Question 2 of 39
Look at this series: 56, 54, 50, 38, 34, ... What number should come next?
A) 23
B) 18
C) 20
D) 32
E) 26
Answer:
D) 32
Step-by-step explanation:
Given;
series: 56, 54, 50, 38, 34, ....
find the difference between successive numbers;
56 54 50 38 34 x
2 4 12 4 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2.
The next number "x" is calculated as;
34 - 2 = x
34 - 2 = x
32 = x
Therefore, the next number should be 32.
The next number that should come next in the series is 32.
Sequence is an arrangement of two or more things in a successive order. Series is the cumulative sum of a given sequence of terms.
Given the numbers in the series: 56, 54, 50, 38, 34, . . ..
The difference is 2, 4, 12, 4, 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2. Hence:
The next number = 34 - 2 = 32
The next number that should come next in the series is 32.
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What are the missing statement and reason in step 2 of the proof?
The statement is AB=CD,BC=AD due to definition of parallelogram. The statement is AC=AC due to Reflexive property of equality.
What is parallelogram?A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. A quadrilateral with the opposing sides parallel is called a parallelogram. A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
Here,
1. Statement: AB=CD,BC=AD
Reason: By definition of parallelogram.
2. Statement: AC=AC
Reason: Reflexive property of equality.
The definition of a parallelogram causes the sentence to be AB=CD,BC=AD. Due to the reflexive feature of equality, the assertion is AC=AC.
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Translate the following:
“Four times the cube root of x, minus nine”
Answer:
D, because the word problem separates the minus nine with a comma.
a is incorrect because there is no cube root
b is incorrect because again, no cube root
c is incorrect because the minus nine should not be within the cube root
Four times the cube root of x, minus nine is \(4\sqrt[3]{x-9}\).So, our correct answer is 3. \(4\sqrt[3]{x-9}\) .Here are a few ways to write "Four times the cube root of x, minus nine":
4 * √(x) - 9
4√(x) - 9
\(4\sqrt[3]{x-9}\)
The first way to write it is the most literal way. It uses the multiplication symbol (*) to indicate that we are multiplying 4 and √(x). The second way to write it is a bit more concise. It uses the exponent notation to indicate that we are taking the cube root of x. The third way to write it is the most mathematical way. It uses the LaTeX symbol for the square root, which is \sqrt{}.Which way you choose to write it depends on the context. If you are writing in a more informal setting, you might use the first way. If you are writing in a more formal setting, you might use the third way
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If you had a billion dollars in 10-dollar bills, how many bills would you have? 10-dollar bills
Answer:
you would have 100 million bills (100,000,000)
Step-by-step explanation:
1,000,000,000 / 10
= 100,000,000
Answer:
100 million
Step-by-step explanation:
100,000,000
what is the hypotenuse of a right triangle with a and b related by the statement a=b-5.
Answer:
c = 5b ±sqrt(-10(b+a)+2)
Step-by-step explanation:
By using the Pythagoras theorem,
c² = a² + b²
a = b-5
b = a+5
c² = (b-5)² + (a+5)²
c² = b²-10b+25 + a²+10a+25
c² = b²-10b-10a+50
c² = b²-10(b+a)+50
c = 5b ±sqrt(-10(b+a)+2)
Prove that : ⬆️⬆️⬆️
Anyone please solve that question.