Answer: length of AB
Step-by-step explanation:
[tex]\overline{AB}[/tex] represents the line segment from point A to point B
[tex]\overrightarrow{AB}[/tex] represents ray from point A to infinity through point B
AB represents the length of the line segment from point A to point B.
To turn 2/5 into a decimal what operation must you preform
Answer:
2/5 =0.4
Step-by-step explanation:
Decimals are one of the method of representation of fractions in which there is power of 10 in the denominator of the fraction. They are 10,100,1000,10,000 ,100,0000 and so
Example = 1/10 = 0.1
1/100 = 0.01
1/1000 = 0.001
In 2/5 we have to make the denominator 10
since in denominator there is five , can be made 10 by multiplying it by 2
2/2 = 1 and 1* x = x , hence if we multiply numerator and denominator by 2 it won't change the fraction.
2/5×2/2=2×2/5×2=4/10=0.4
Thus, 2/5 =0.4 in decimal form.
Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). f(x) = (-2/x) – 1; g(x) = -2/(x+1)
Choices:
a. g(x) has to be: (1+x)/2
b. g(x) has to be: x/2
c. g(x) has to be: 2 – (1/x)
d. Inverses
Answer:
Step-by-step explanation:
Hello,
[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=\dfrac{-2}{f^{-1}(x)}-1\\\\<=>f^{-1}(x)(x+1)=-2\\\\<=> f^{-1}(x)=\dfrac{-2}{x+1}[/tex]
and this is g(x)
so they are inverses
Hope this helps
Please answer this correctly
Answer:
100%
Step-by-step explanation:
The numbers odd or less than 7 are 5, 6, and 7.
3 numbers out of 3.
3/3 = 1
P(odd or less than 7) = 100%
Solve for k. -21 -3 21
Answer:
k = -21
Step-by-step explanation:
9/ (2k-3) = 4/(k+1)
Using cross products
9 * (k+1) = 4(2k-3)
Distribute
9k+9 = 8k -12
Subtract 8k from each side
9k-8k +9 = 8k-8k-12
k+9 = -12
Subtract 9 from each side
k+9-9 = -12-9
k = -21
Answer:
[tex]\huge\boxed{k=21}[/tex]
Step-by-step explanation:
[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}[/tex]
First step:
Find domain.
We know: the denominator must be different than 0.
Therefore we have:
[tex]2k-3\neq0\ \wedge\ k+1[/tex]
[tex]2k-3\neq0\qquad\text{add 3 to both sides}\\2k\neq3\qquad\text{divide both sides by 2}\\\boxed{k\neq1.5}\\\\k+1\neq0\qquad\text{subtract 1 from both sides}\\\boxed{k\neq-1}\\\\\text{Domain:}\ x\in\mathbb{R}\backslash\{-1;\ 1.5\}[/tex]
Second step:
Solve for k.
[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}\qquad\text{cross multiply}\\\\9(k+1)=4(2k-3)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(9)(k)+(9)(1)=(4)(2k)-(4)(3)\\\\9k+9=8k-12\qquad\text{subtract 9 from both sides}\\\\9k=8k-21\qquad\text{subtract}\ 8k\ \text{from both sides}\\\\\boxed{k=21}\in\text{Domain}[/tex]
Simplify the expression ( √3+i) + (√5-2i) and write the result in a+bi.
Answer:
c. (√3 + √5) - i
Step-by-step explanation:
(√3+i) + (√5-2i) = √3+i + √5-2i = (√3 + √5) + (i - 2i) = (√3 + √5) - i
Brandon bought a book that originally sold for $18 on sale for 30% off. He paid a sales tax of 8%.
To the nearest cent, what was the total cost of the book?
Answer:
$13.61
Step-by-step explanation:
$18 * 70% = $12.60
$12.60 * 1.08 = $13.61
What is the inverse of f(x)=3x-2/6 ?
square root of -49 in terms of i
Answer:
7i
Step-by-step explanation:
We know that i = √-1
Then solving the given:
√-49 = √49×(-1) = √49 × √-1 = 7×√-1 = 7iSo the answer is:
√-49 = 7iYou are told that one of the internal angles of a parallelogram is 54 degrees. This means at least one other angle must be equal to
Answer:
54 degrees
Step-by-step explanation:
The opposite angles in a parallelogram are equal.
At least one other angle must be equal to 54°.
Given that, you are told that one of the internal angles of a parallelogram is 54°.
What are the properties of a parallelogram?A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. There are four angles in a parallelogram at the vertices. Understanding the properties of parallelograms helps to easily relate their angles and sides. Also, the properties are helpful for calculations in problems relating to the sides and angles of a parallelogram.
The four important properties of parallelogram angles and sides are as follows:
The opposite sides of a parallelogram are equal and parallel to each other.
Opposite angles are equal, i.e ∠A = ∠C, and ∠B = ∠D.
All the angles of a parallelogram add up to 360°, i.e. ∠A + ∠B + ∠C + ∠D = 360°.
The consecutive angles of a parallelogram are supplementary, i.e.,
∠A + ∠B = 180°
∠B + ∠C = 180°
∠C + ∠D = 180°
∠D + ∠A = 180°
Now, since opposite angles are equal, then the other angle must be equal to 54°.
Therefore, at least one other angle must be equal to 54°.
To learn more about the angles of parallelogram visit:
https://brainly.com/question/25999877.
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15. Over what range of angles does the value of sin(O) consistently increase?
A. 45° to 135°
B. 90° to 180°
C. 0° to 180°
D. 0° to 90°
Answer:
D. 0° to 90°
Step-by-step explanation:
If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.
Hence option D is correct.
Alternatively
we see that
sin 0 = 0
sin 30 = 1/2
sin 45 = 1/[tex]\sqrt{2}[/tex]
sin 60 = [tex]\sqrt{3} /2[/tex]
sin 90 = 1
Thus, we see that value of sin is increasing from 0 to 90
now lets see value of sin from 90 to 180
sin 90 = 1
sin 120 = [tex]\sqrt{3} /2[/tex]
sin 135 = 1/[tex]\sqrt{2}[/tex]
sin 150 = 1/2
sin 180 = 0
Thus, we see that value of sin is decreasing from 90 to 180.
find the sum of these polynomials. (5x^2-4x+2)+(3x^2+9x-8)=? A. 8x^2-5x+10 B. 8x^2+5x-6 C. 8x^2-5x-6 D. 8x^2+5x+10
Answer:
B: 8x^2+5x-6
Step-by-step explanation:
Solve the formula A=law for l
Answer:
l = A/aw
Step-by-step explanation:
Since we want the equation in terms of l, we simply isolate the l by dividing both sides by aw:
A = law
A/aw = law/aw
A/aw = l
Find a rational number halfway between 7/8 and 6/7
================================================
How to get this answer:
Midpoint formula: (A+B)/2 = C
A and B are the endpoints with C as the midpoint
A = 7/8
B = 6/7
A+B = 7/8 + 6/7
A+B = 49/56 + 48/56
A+B = (49+48)/56
A+B = 97/56
(A+B)/2 = (97/56) divided by 2
(A+B)/2 = (97/56) times (1/2)
(A+B)/2 = (97*1)/(56*2)
(A+B)/2 = 97/112
In Las Vegas, the hottest recorded temperature is 47°C, and the lowest recorded temperature is -13°C. What is the difference between the city's highest and lowest recorded temperatures?
The difference between the citys highest and lowest recorded temperatures is 60°.
A washer and a dryer cost $744 combined, the washer costs $94 more than the dryer, what is the cost of the dryer?
Answer:
$ 325Step-by-step explanation:
Let the cost of washer be ' x '
Let the cost of dryer be ' y '
According to Question,
x + y = 744 -----> equation (i)
x - y = 94 ------> equation (ii)
Adding equation (i) and (ii),
x + y = 744
+ x - y = 94
---------------------
2x = 838
Dividing both sides of the equation by 2
2x/2 = 838/2
Calculate
X = 419
Again,
Putting the value of X in equation (i)
X + y = 744
419 + y = 744
subtract 419 on both sides
y + 419 - 419 = 744 - 419
Calculate:
y = 325
The cost of dryer is $ 325.
Hope this helps...
Good luck on your assignment...
Given: y varies directly with x and has a constant rate of change of 7.
When the value of y is 12, then the value of xwould be
Answer:
12/7
Step-by-step explanation:
y=7x
y=12 ⇒ 7x= 12 ⇒ x= 12/7
Find the volume. Round to the nearest hundredth if necessary.
9 yd
4 yd
2 yd
3 yd
7 yd
O 32 yd
O 22 yd
48 yd
29 yd
36 yd
Answer:
36 yd³
Step-by-step explanation:
The above solid shape given is a triangular prism.
The volume of triangular prism is given as ½ × base length of the triangle (b) × height of the triangle (h) × the length of the prism (l)
Base length of triangle (b) = 9 yd
Height of the triangle (h) = 2 yd
Length of the prism (l) = 4 yd
Volume = ½bhl
Volume = ½*9*2*4
Volume = 9*4
Volume of prism = 36 yd³
Find the inverse of the function Find the inverse of the function f(x)=2x-4
Step-by-step explanation:
firstly suppose f(X) as y and later interchange it with x and solve it to get inverse function of x.
The inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].
Important information:
The given function is [tex]f(x)=2x-4[/tex].We need to find the inverse of the given function.
Inverse of a function:Substitute [tex]f(x)=y[/tex].
[tex]y=2x-4[/tex]
Interchange [tex]x[/tex] and [tex]y[/tex].
[tex]x=2y-4[/tex]
Isolate [tex]y[/tex].
[tex]x+4=2y[/tex]
[tex]\dfrac{x+4}{2}=y[/tex]
Substitute [tex]y=f^{-1}(x)[/tex].
[tex]\dfrac{x+4}{2}=f^{-1}(x)[/tex]
Thus, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].
Find out more about 'Inverse of a function' here:
https://brainly.com/question/11926240
The total number of students enrolled in MATH 123 this semester is 5,780. If it
increases by 0.35% for the next semester, what will be the enrollment next
semester? Round to a whole person.
Answer:
5,800 people
Step-by-step explanation:
We can find the enrollment for next semester by multiplying:
5,780(1.0035) = 5,800.23
We can round this to 5,800 people.
Raymond wanted to buy 8 t-shirt but he was short of $8.10. instead he bought 5 T-shirt and had $12.60 left. how much would he need to pay for 20 t-shirt?
Answer:
$138
Step-by-step explanation:
Let the money with Raymond be $y
Let the cost of 1 tshirt be $x
then cost of 8 tshirt = cost of 1 t-shirt*8 = 8x
Raymond wanted to buy 8 t-shirt but he was short of $8.10
It means that 8x is equal to money he had plus $8.10
thus,
y + 8.10 = 8x
y = 8x - 8.10
Next situation
cost of 5 t-shirt = 5x
. instead he bought 5 T-shirt and had $12.60 left,
it means cost of 5 T-shirt plus $12.60 = total money Raymond had
y = 5x + 12.60
comparing y in both the equation
y = 8x - 8.10 and y = 8x - 8.10
5x + 12.60 = 8x - 8.10
=> 8x-5x = 12.60+8.10
=> 3x = 20.70
=> x = 20.70/3 = 6.9
Thus, cost of 1 T-shirt = $6.9
cost of 20 T-shirt = 20*$6.9 = $138 (Answer)
Which of the binomials below is a factor of this trinomial?
x² + 3x - 4
Answer:
(x+4) or (x-1)
Step-by-step explanation:
Do this by factoring out your equation. To do this, think about which two numbers multiply to be -4 but also add up to be 3 (the -4 came from multiplying the first value (the 1 that is attached to the [tex]x^{2}[/tex]) and the last value, which is -4. The 3 came from the middle term).
The two numbers you should have gotten are 4 and -1. Therefore, (x+4) and (x-1) are both of the binomials that could be your answer
I NEED HELP ASAP!! did i do correct??
Answer:
If I were to be honest I think you did it perfectly
what is the median price of rent for the university of oregon
Answer:
$11,450
Step-by-step explanation:
thats the median price according to Google
I need help on a question real quick
Answer:
4x-3y
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Find the sum of the first 5 terms of the geometric series. 8 – 16 + 32 – ... 87
86
88
89
Answer: c) 88
Step-by-step explanation:
8, -16, 32, ...
We can see that each previous term is multiplied by -2
so the next two terms will be 32(-2) = -64 and -64(-2) = 128
So the first 5 terms of the sequence is: 8, -16, 32, -64, 128
Add the positive numbers and the negative numbers, then find their sum.
8 + 32 + 128 = 168
-16 + (-64) = -80
Sum = 88
Laura tiene las tres séptimas partes de la edad de su mamá dentro de 5 años la edad de su mamá será el doble que la edad de ella ¿Cuántos años tiene cada una?
Answer:
Laura tiene 15 años mientras que su madre tiene 35 años.
Step-by-step explanation:
Deje que la edad de Laura sea L.
Deje que la edad de su madre sea m.
Tiene 3/7 de la edad de su madre:
L = 3 m / 7
En 5 años, la edad de su madre será el doble de su edad:
(m + 5) = 2 (L + 5)
m + 5 = 2L + 10
m - 2L = 5
Pon el valor de L:
m - 2 (3 m / 7) = 5
m - 6 m / 7 = 5
Multiplica por 7:
7m - 6m = 35
m = 35 años
=> L = 3 * 35/7 = 15 años
Laura tiene 15 años mientras que su madre tiene 35 años.
Which function is negative for the interval [-1,1] ?
Answer:
Option (2)
Step-by-step explanation:
Option (1)
In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.
Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.
And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.
Option (2)
In this option, graph is below the x-axis in the interval [-1, 1].
Therefore, the given graph is negative in this interval.
Option (3)
In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.
Option (4)
In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.
So this function is positive in the interval [-1, 1].
Therefore, Option (2) will be the answer.
Answer:b since I got the others wrong
Please I am in need of help if you go solve all my questions o will mark brainliest
Answer:
top left
Step-by-step explanation:
Consider finding points on the graph using the equation.
x = 0 : f(0) = [tex]0.5^{0}[/tex] + 4 = 1 + 4 = 5 ← y- intercept
Since y- intercept is 5, this excludes the lower 2 graphs, which have y- intercepts of 1
x = 1 : f(1) = [tex]0.5^{1}[/tex] + 4 = 0.5 + 4 = 4.5 ⇒ (1, 4.5 )
x = - 1 : f(- 1) = [tex]0.5^{-1}[/tex] + 4 = [tex]\frac{1}{0.5}[/tex] + 4 = 2 + 4 = 6 ⇒ (1, 6 )
These points lie on the top left graph
Sum of two numbers is 20 their difference is 118
Answer:
a = first number
b = second number
"The sum of two numbers is 20."
a + b = 20
"[The difference of two numbers] is 118."
a - b = 118
Add the two equations together:
(a + b) + (a - b) = 20 + 118
Simply and solve:
2a = 138
a = 69
Use one of the above equations to solve for the second number.
a + b = 20
a = 69
69 + b = 20
b = -49
HOPE THIS HELPS AND PLSSS PLSSS MARK AS BRAINLIEST
THNXX :)
Mindy is 36 years old. Mindy's age is 3 years older than two times Jake's age. Let j represent Jake's age.
Answer:
36 = 2j + 3
This should be the correct answer to your question
PLease rate and mark brainliac if this helped