Answer:
f^-1(x) = 2x - 10
Step-by-step explanation:
f(x) = 5 + 1/2 x
y = 5 + 1/2 x
x = 5 + 1/2 y
1/2 y = x - 5
y = 2x - 10
f^-1(x) = 2x - 10
Given g(x) = x + 5 and h(x) = 2x - 1, find the value of g(h(2)).
Answer: g(h(2))=8
Step-by-step explanation:
To find g(h(2)), you first need to solve h(2). After you find that value, you plug that value into g(x).
h(2)=2(2)-1 [multiply]
h(2)=4-1 [subtract]
h(2)=3
Now that we know h(2)=3, we plug 3 into g(x).
g(3)=3+5 [add]
g(3)=8
After we have plugged in h(2) into g(x), we got g(h(2))=8.
What is the xcomponent of A ⃗ x?
Answer:
[tex]x = A cos\theta[/tex]
Step-by-step explanation:
Given
Resultant Vector = A
Required
Determine the x component of vector A
To answer this question, I'll make use of the attachment
In the attachment, the relationship between A and the x component is as follows (using Pythagoras theorem):
[tex]cos\theta = \frac{x}{A}[/tex]
Multiply both sides by A
[tex]A * cos\theta = \frac{x}{A} * A[/tex]
[tex]A * cos\theta = x[/tex]
[tex]A cos\theta = x[/tex]
Reorder the equation
[tex]x = A cos\theta[/tex]
Hence, the x component of A is: [tex]Acos\theta[/tex]
what is the qoutient?
Answer:
Option (3)
Step-by-step explanation:
Given expression is,
(6 × 10⁸) ÷ (1.5 × 10⁻⁴)
We can rewrite the given expression as,
[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}[/tex]
Now by solving this expression further,
[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}=\frac{6}{1.5}\times \frac{10^8}{10^{-4}}[/tex]
[tex]=4\times 10^8\times 10^4[/tex] [Since [tex]\frac{1}{10^{-4}} =10^4[/tex]]
= [tex]4\times 10^{(8+4)}[/tex]
= [tex]4\times 10^{12}[/tex]
Therefore, Quotient of the given expression is [tex]4\times 10^{12}[/tex].
Option (3) will be the answer.
What is the measurement of the exterior angle in the diagram below?
A. 100
B. 30
C. 70
D. 88
Answer:
c
Step-by-step explanation:
i go to norcross high school btw . smh ;)
The value of exterior angle is 100
What is exterior angle property?If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Given:
angle 1 = 30
angle 2 = 7x
exterior angle= 10x
Now using exterior angle property
10x= 7x+30
3x= 30
x=10
Hence, the exterior angle is 10x= 100 degree
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Consider a graph of the equation y = −3x + 4. What is the y-intercept? (5 points)
Answer:
The y-intercept would be 4
Step-by-step explanation:
help hurry pleaseeeee
Answer: its the first one bud
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
If you find the given values on the number line and compare them, you can see that -2 is further to the right than -2.5, so -2 is greater than -2.5.
The further to the right a number is, the greater it is.
the population of a town is 2666 200 and growth rate is 1.50 percent .find the population after one year
Answer:
multiply the population of town with the growth rate to find answer
Step-by-step explanation:
Plz mark brainliest
Find a vector of magnitude 3 in the direction of v=12i-5k.
Answer:
The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].
Step-by-step explanation:
Let be [tex]\|\vec u\| = 3[/tex] and [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex], the resultant in the direction of [tex]\vec v[/tex] can be obtained by using the following expression:
[tex]\vec u = \frac{\|\vec u\|}{\|\vec v\|} \cdot \vec v[/tex]
Where:
[tex]\|\vec v\|[/tex], [tex]\|\vec u\|[/tex] - Norms of [tex]\vec v[/tex] and [tex]\vec u[/tex], respectively.
Now, we get the norm of [tex]\vec v[/tex] by Pythagorean Theorem:
[tex]\|\vec v\| = \sqrt{12^{2}+(-5)^{2}}[/tex]
[tex]\|\vec v\| = 13[/tex]
The vector is now determined:
[tex]\vec u = \frac{3}{13} \cdot (12\,\hat{i}-5\,\hat{k})[/tex]
[tex]\vec u = \frac{36}{13} \,\hat{i}-\frac{15}{13}\, \hat{k}[/tex]
The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].
linear function A and linear function B both have the same values as shown below. why will the output values for linear function A always be different than the corresponding output values for linear function B
Answer:
La abscisa x del centro de masa está en reposo (velocidades opuestas)
Vx = 0
La ordenada del centro de masa es:
y = h + Vo sen(α) t + Vo sen(α) t = h + 2 Vo sen(α) t
La velocidad es la derivada de y respecto del tiempo:
Vy = 2 Vo sen(α)
b) Momento lineal (p = m V)
En el eje x: px = 0 (momento lineal)
En el eje y: py = 2 m Vy = 4 m Vo sen(α)
dame corazon y 5 estrellas
Step-by-step explanation:
Amanda was asked by her math teacher to solve an inequality on the board. Amanda put the following on the board: 3x - 2(x - 1) ≤ 2x - 10 3x - 2x + 2 ≤ 2x - 10 1x ≤ 2x - 12 -1x ≤ -12 x ≤ 12 The other students were asked to do an error analysis on Amanda's work. What did the other students say? Did Amanda make a mistake, and if so what did she do wrong?
Answer:
Yes, she did not reverse the inequality sign when the last step was to multiply or divide by a negative number,
Step-by-step explanation:
Yes, Amanda make a mistake.
An error analysis on Amanda's work is in the last step, which is;
-1x ≤ -12 ⇒ x ≤ 12
The other student says that;
-1x ≤ -12 ⇒ x ≥ 12
Here,
Amanda was asked by her math teacher to solve an inequality on the board.
Amanda put the following on the board:
3x - 2(x - 1) ≤ 2x - 10
3x - 2x + 2 ≤ 2x - 10
1x ≤ 2x - 12
-1x ≤ -12
x ≤ 12
We have to find Amanda mistake to solve the inequality.
What is Inequality?
An inequality is a relationship between two expressions or values that are not equal to each other.
Now,
Amanda was asked by her math teacher to solve an inequality on the board.
Amanda put the following on the board:
3x - 2(x - 1) ≤ 2x - 10
3x - 2x + 2 ≤ 2x - 10
1x ≤ 2x - 12
-1x ≤ -12
x ≤ 12
Clearly, on last step Amanda make mistake to solve.
The correct solution is;
3x - 2(x - 1) ≤ 2x - 10
3x - 2x + 2 ≤ 2x - 10
1x ≤ 2x - 12
-1x ≤ -12
x ≥ 12
Hence, Amanda make a mistake.
An error analysis on Amanda's work is in the last step, which is;
-1x ≤ -12 ⇒ x ≤ 12
The other student says that the correct solution in last step is;
-1x ≤ -12 ⇒ x ≥ 12
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name the value of the given digits in the number below the 3s in 3,345
Answer:
question unclear
Step-by-step explanation:
-78 = 8 (4 + 7x) + 6(-1 + 8x)
Answer:
56x = -152
Step-by-step explanation:
8(4+7x) + 6(-1 + 8) = -78
32 + 56x - 6 + 48 = -78
32 + 48 - 6
74 + 56x = -78
-74 -74
56x = -152
How do you solve this equation? -5/4+(-7/9)= Thanks
Answer:
-2 1/36 or -2.028
Step-by-step explanation:
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3/4 divided by 3/16?
4.029 with number names
Answer:
Four and twenty nine thousandths
Step-by-step explanation:
Hello, please help me with this question. Thanks.
Answer:
a) FKR and F'KR form supplementary angles
b) FK = F'K
EF = E'F'
(They are reflected by mirror)
(3+√2)^2 Please show work
Answer:
[tex] \boxed{\sf {(3+\sqrt{2})}^2 = 11 + 6 \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \sf \implies {(3 + \sqrt{2} )}^{2} \\ \\ \sf \implies (3 + \sqrt{2} )(3 + \sqrt{2} ) \\ \\ \sf \implies 3(3 + \sqrt{2} ) + \sqrt{2} (3 + \sqrt{2} ) \\ \\ \sf \implies (3 \times 3) + (3 \times \sqrt{2} ) + ( \sqrt{2} \times 3) + ( \sqrt{2} \times \sqrt{2} ) \\ \\ \sf \implies 9 + 3 \sqrt{2} + 3 \sqrt{2} + 2 \\ \\ \sf \implies 9 + 6 \sqrt{2} + 2 \\ \\ \sf \implies 11 + 6 \sqrt{2} [/tex]
Answer:
Exact Form:
[tex]11 +6\sqrt{2}[/tex]
Decimal Form:
19.48528137…
Step-by-step explanation:
Rewrite [tex](3+\sqrt{2} )^2[/tex] as [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex]
Expand [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex] using the FOIL method.
Apply the distributive property.
[tex]3(3+\sqrt{2} )+\sqrt{2} (3+\sqrt{2} )[/tex]
[tex]3*3 +3+\sqrt{2} +\sqrt{2} (3+\sqrt{2} )[/tex]
[tex]3*3 +3\sqrt{2} +\sqrt{2}* 3+\sqrt{2} \sqrt{2}[/tex]
Simplify and combine like terms.
Simplify each term.
[tex]9+3\sqrt{2} +3\sqrt{2} +2[/tex]
Add 9 and 2
[tex]11+3\sqrt{2} +3\sqrt{2}[/tex]
Add [tex]3\sqrt{2}[/tex] and [tex]3\sqrt{2}[/tex]
11+[tex]6\sqrt{2}[/tex]
The result can be shown in multiple forms.
Exact Form:
11+[tex]6\sqrt{2}[/tex]
and
Decimal Form:
19.48528137
....
-4x=12
how do i awnser this
Answer:
x=-3
Step-by-step explanation:
it just simple divide both sides by -4
-4x / -4 = 12/-4
x=-3
Answer:
-3
Step-by-step explanation:
Divide 12/-4
Which equals -3 So that would be you answer
F f(x) = 6x – 4, what is f(x) when x = 8?
Answer:
F(x) = 44
Step-by-step explanation:
f(x) = 6x - 4
x = 8
f(x) = 6(8) - 4
f(x) = 48 - 4
Answer:
Step-by-step explanation:
f(8) = 6(8) - 4= 48 - 4 = 44
What is the square root of 51142%
Answer:
2261.46
Step-by-step explanation:
51142% = 5114200
√ 5114200 = 2261.46
Explain why commutative and associative properties don’t hold true for subtraction and division but the identity properties do ?
Glad I can help you!!
Answer:
Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.
If satisfied please leave a review and feel free to give me brainiest.
The midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2), what are the coordinates of B?
Answer:
Coordinates of B is (3,-4)
Step-by-step explanation:[tex]\frac{-7+x^{2} }{2}=-2[/tex]
[tex]\frac{2+y^{2} }{2} =-1[/tex]
You multiply -2 by 2 to get -4 and then create the equation [tex]-7+x^{2} = -4[/tex] then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)
You multiply -1 by 2 to get -2 and then create the equation[tex]2+y^{2} =-2[/tex] then you subtract 2 by -2 which gives you -4 (y coordinate of B)
To check your answer use the midpoint formula [tex]( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M[/tex]
[tex]\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1[/tex] which will give you the midpoint (-2,-1)
The required coordinate of the endpoint B is given as (3, -4).
What is the midpoint?A midpoint is a point on the line whose distance from both ends of the line is equal.
Here,
midpoints between any two points are given as,
x = x₁ + x₂ / 2 ; y = y₁ + y₂
since, the midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2),
So we have (x , y) = (-2, -1) and A(x₁, y₁) = (-7, 2), and to determine B(x₂, y₂)
Now.
x = x₁ + x₂ / 2 ; y = y₁ + y₂/2
-2 = -7 + x₂ /2 ; -1 = 2 + y₂ /2
x₂ = 3 ; -4
Thus, the required coordinate of the endpoint B is given as (3, -4).
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What is the difference between the solution of a linear
equation and the solution to a linear inequality?
Stephanie buys a book in a sale for $19.20 . This sale price is after a reduction of 20%. Calculate the original price of the book
Answer:
$96 is the original price of book
Step-by-step explanation:
keep the unknown value as X
(19.2/X)*100 = 20%
19.2/X = 0.2
19.2/0.2 = X
X = 96
The original price of the book is $24.
When there is a sales, the price of items become cheaper. Items become less expensive when there is a sale.
When there is a 20% reduction in the price of the book, the book becomes 80% (100 - 20%) cheaper. In order to determine the original price of the book, divide the sales price by 80%
Original price = $19.20 / 80%
= $19.20 / 0.8
= $24
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Hi I need help with this question please thank you
Answer:
hope this helped! Can you give me brainliest please? :))
Step-by-step explanation:
A: -7
E: +6.9
write a number in which the value of the 8 is ten times greater than the value of the 8 in 8,304
Answer:
83,040
Step-by-step explanation:
I multiplied the original number by ten
5 5/6 - 3 1/3 in its simplist form
Exact Form: 5/2
Decimal Form: 2.5
Mixed Number Form: 2 1/2
Answer:
2.5 or 5/2 or 2 1/2
Step-by-step explanation:
Simon makes 5 towers of 10 blocks each.
Ron makes 6 towers of 10 blocks each.
How many blocks did they use?
Answer:
Simon used 50 blocks
Ron used 60 blocks
Together, they used 110 blocks.
Here is the question as an equation-
(5x10)+(6x10)=
Ella is 12.537 miles from her house which shows the value of 12.537 rounded to the nearest tenth and nearest hundredths F 12.6, 12.54 G 12.5, 12.54 H.13.0, 12.53 J 12.5, 12.53
Answer:
12.5 is to the nearest tenth
12.54 is to the nearest hundredth
Step-by-step explanation:
12.537
The first number after the decimal is the tenths place
we look at the number after it to determine whether to round up or down
12.53 the 3 is less than 5 so we leave it alone
13.5 is rounded to the nearest tenth
The second number after the decimal is the hundrdeths place
we look at the number after it to determine whether to round up or down
12.537 the 7 is greather than or equal to 5 so we round up
13.537 is rounded becomes 13.54
I need help thank you :)
Answer:
B. The y- axis
Step-by-step explanation:
If you look at a 4 quadrant graph you can see the line of the reflection
