Answer:
C. All real values of x such that x ≠ 5
Step-by-step explanation:
Given
h(x) = 4/(x - 5)
Required
Determine the domain of the function
To get the domain of the function, we start by writing out the denominator in the following format:
x - 5 ≠ 0
Add 5 to both sides
x - 5 + 5 ≠ 0 + 5
x ≠ 5
The domain can be written in builder notation as follows
x = { x ∈ R: x≠ 5}
The above expression implies that the domain of the function is all real values of x but x ≠ 5
From the list of options, the correct answer is C.
Find the area of the triangle.
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
120 decreased by 45%
Answer:
Try 66 For your answer......
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6
The price of a gallon of gas in one month was $2.60. The following month, the price was $2.99. What is the percent increase in the price of one gallon of gas?
Answer:
Step-by-step explanation:
From the question, we are informed that the price of a gallon of gas in one month was $2.60 and that the following month, the price was $2.99.
Change in price = New price - Old price
= $2.99 - $2.60
= $0.39
Percentage increase= Change in price/Old price × 100
= 0.39/2.60 × 100
= 0.15 × 100
= 15%
The percent increase in the price of one gallon of gas is 15%.
Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.
Answer:
(2, 2.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus
midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )
solve
1. (x+3) (x+4)=0
2. (2x-3)(x-1)=0
Answer:
(i) (x+3)(x+4)=0
x+3= 0 ⇒ x= -3 x+4= 0⇒ x= -4(ii) (2x-3)(x-1) =0
2x-3= 0 ⇒ 2x=3 ⇒ x= 3/2 x- 1= 0 ⇒ x= 1Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
31:9
Step-by-step explanation:
Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that
\begin{align*}
A + n &= 4(B - n),\\
A - n &= 3(B + n).
\end{align*}
Simplifying, we have
\begin{align*}
A + 5n &= 4B, \\
A &= 3B + 4n.
\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.
Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.
Round 0.0008873319 to 2 significant figures
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
solve for x. 7x+4=30
Answer: x≈3.7
Step-by-step explanation:
7x+4=30
-4 on both sides
30-4=26
7x=26
divide 7 on both sides
x=3.7142...
Answer:
3.7
Step-by-step explanation:
7x+4=30
7x=30-4
7x=26
26/7
3.7
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely, then place the answer in the proper location on the grid. x 3 - y 3
Answer:
The factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
Step-by-step explanation:
We know that:
[tex]x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})[/tex]
Compute the factors of [tex]x^{3}-y^{3}[/tex] as follows:
[tex]x^{3}+(-y)^{3}=(x+(-y))(x^{2}-x(-y)+(-y)^{2})[/tex]
[tex]x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})[/tex]
Thus, the factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
PLEASE HELP IM ON A TIMER ALSO NOBODY ANSWERED SAME QUESTION LAST TIME IM REPOSTING -3.6-1.9t+1.2+5.1t
Answer: 3.2t - 2.4
Step-by-step explanation:
Which of the following is the solution set of -2|x| < -8
Answer:
x > 4 or x < -4
Step-by-step explanation:
First, you divide both sides by -2. Remember to switch the inequality.
|x| > 4. So you have to split this up:
x > 4 or x < -4
The solution set for the given inequality -2|x| < -8 is x > 4 or x < -4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the inequality is -2|x| < -8. The inequality will be solved as,
First, you divide both sides by -2. Remember to switch the inequality.
|x| > 4.
x > 4
x < -4
To know more about inequality follow
https://brainly.com/question/24372553
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Which of the following best describes the slope of the line below?
A. Zero
B. Positive
C. Negative
D. Undefined
Answer:
C. Negative
Step-by-step explanation:
We know that
The farther right this line goes the further it goes down.
This is a negative slope.
If this line was directly vertical it would be undefined.
If it was horizontal it would be zero.
Answer:C
Step-by-step explanation:
Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.
What is the midpoint of a line segment with endpoints at (0,-4) and (0,4)?
Answer: (0,0)
Step-by-step explanation:
Work out 1/2 x 7 giving you answer as a mixed number.
Answer:
[tex]3 \frac{1}{2} [/tex]
solution,
[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment....
The answer in mixed number is written as [tex]3\dfrac{1}{2}[/tex]
The given expression is [tex]\dfrac{1}{2} \times 7[/tex].
Mixed fraction is composed of an integer with a proper fraction.
A proper fraction is one which has numerator's value smaller than that of denominator.
The conversion will go like shown below:
[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]
Thus, the resultant mixed number of given expression will be given as [tex]3\dfrac{1}{2}[/tex]
Learn more here:
https://brainly.com/question/236680
Write 13 /2 as a mixed number. Give your answer in its simplest form.
Answer:
6·¹₂ 6¹/₂
Step-by-step explanation:
by dividing 13 by 2, we get the quotient 6, remainder 1 and divisor as 2.
as we know, to write a mixed fraction, we follow Q^R/D, so we get 6¹/₂.
What is the start velocity of a javelin accelerated at 3.75 m/s2 for 2 seconds, and reaching 9375 m/s?
Answer:
Step-by-step explanation:
u = ?
a = 3.75m/s^2
t = 2 s
v = 9375m/s
a = v-u/t
3.75 = 9375 - u / 2
3.75 × 2 = 9375 - u
7.5 = 9375 - u
u = 9375 - 7.5
= 9367.5 m/s
Hope this helps
plz mark as brainliest!!!!!!!
Expand the following bracket -8(2d-3)
Answer:
-16d+24
Step-by-step explanation:
=> -8(2d-3)
Expand the brackets and use distributive property.
=> (-8 × 2d)+(-8 × -3)
Multiply
=> (-16d) + (24)
=> -16d+24
Answer:
-16d + 24
Step-by-step explanation:
-8(2d - 3)
Expand or distribute.
-8(2d) -8(-3)
Multiply the terms.
-16d + 24
two numbers are in the ratio 3 : 5 if 5 is added to each the ratio becomes 2 : 3 find the number. frnds pls solve it pls it's urgent
Answer:
15 and 25
Step-by-step explanation:
x/y=3/5 ⇒ x= 3y/5
(x+5)/(y+5)= 2/3
3x+15= 2y+10 3x+5= 2y3*3y/5 +5= 2y2y- 9/5 y= 51/5y= 5y= 5*5= 25x= 3*25/5= 15Answer:
The numbers are : 15 and 25solution,
Let the number be X and y
[tex] \frac{x}{y} = \frac{3}{5} \\ or \: x \times 5 = 3 \times y \\ or \: 5x = 3y \\ or \: x = \frac{3y}{5} ............ > equation \: i \\ [/tex]
If 5 is added to each number,
[tex] \frac{x + 5}{y + 5} = \frac{2}{3} \\ or \: 3(x + 5) = 2(y + 5) \\ or \: 3x + 15 = 2y + 10 \\ or \: 3x - 2y = - 5[/tex]
putting the value of X
[tex]3 \times \frac{3y}{5} - 2y = - 5 \\ or \: \frac{9y}{5} - 2y = - 5 \\ or \: \frac{9y - 2y \times 5}{5} = - 5 \\ or \: \frac{9y - 10y}{5} = - 5 \\ or - y = - 5 \times 5 \\ or \: - y = - 25 \\ y = 25[/tex]
Replacing the value of y in equation (i)
[tex]x = \frac{3y}{5} \\ x = \frac{3 \times 25}{5} \\ x = \frac{75}{5} \\ x = 15[/tex]
The value of X is 15.
The value of y is 25.
Hence,the two numbers are 15 and 25.
Hope this helps...
Good luck on your assignment..
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.) The probability that Amy forms an arrangement that begins and ends with vowels is _____. The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is ______.
Answer #1: [tex]\frac{1}{2}[/tex]
Answer #2: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
__ __ __
There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.
To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:
CDE
CDI
CEI
IDC
IEC
IED
There are six in all which means the answer to problem two is six out of twenty four.
A is 0.5 and b is 1
A bag of rice weighs 50kg. If the weight of the bag increases by 30 %find the new weight of the bag.
Answer:
65 kgStep-by-step explanation:
Solution,
Weight of bag containing rice = 50 kg ( given)
Increased percent of bag = 30%
30% of 50
= 30/100 * 50
= 15 kg
now,
finding the new weight of bag:
= 50 kg + 15 kg
= 65 kg
Hope this helps..
Good luck on your assignment....
the values of x and y vary diectly and one pair of values are given write an equation that relates x and y if x=-5 and y=10
Answer:
2x = -y
Step-by-step explanation:
10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each of the numbers.
The sum of two numbers is 13 more than twice the first number:
x + y = 2x +13
x - y = y - 14
solve the system of equations:
x - (x + 13) = (x +13) - 14
x = -12
y = 1
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45
Answer:
b and c
Step-by-step explanation:
x+30<60 -->x < 60 -30 = 30 --> x < 30
Answer:
B and C
Step-by-step explanation:
We can solve for x in the inequality just like you do when solving algebra equations of an = sign.
x + 30 < 60
x + 30 - 30 < 60 -30
x < 30
"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.
Since x is smaller than 30, and is not 30,
the only option that is correct is B, 1 and C, 29.
Ben goes to work by car or by train. Out of 200 days, he went by car on 150 days. Work out the relative frequency that Ben goes to work by car.
Answer:
3/4 = 0.75
Step-by-step explanation:
150/200 = 3/4
Answer:
3/4
Step-by-step explanation:
To find the relative frequency p, we need to know 2 facts about the data
1. Total data
2. Number Times of events that are asked for.
So, we have been given
1. Total Data = 200
2. Number of time of event = 150.
Thus to write it as a fraction, 150/200 = 3/4
Hope this helps.
Please mark brainiest
Find 3 rational number between: 1) -5 and -6 2)
Answer:
3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.
Step-by-step explanation:
Answer:
-5.2, -5.6, and -5.8.
Step-by-step explanation:
3 rational numbers between -5 and -6.
-5 > x > -6
Where x is a rational number, that can be expressed in p/q form.
The numbers can be -5.2, -5.6, and -5.8.
-5.2 = -26/5
-5.6 = -28/5
-5.8 = -29/5
The numbers can be expressed in p/q form, so they are rational.
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
hola por favor ayudame
Answer:
119
Step-by-step explanation:
X + 1/x = 11
X^2 + 1/x^2 = 119
(X + 1/x)^2
Find the total surface area of this triangular prism. first correct answer will get brainiest!!!
THANK YOUUU
Answer:
1930.47
Step-by-step explanation: formula=bh+(surface 1+surface 2+surface 3)H