Answer:
For a general function f(x), the domain is the set of the possible values of x that we can input in the function.
The trick to find the domain is first to assume that the domain is the set of all real numbers, and then let's try to find the values of x that cause a problem in the function. (If the graph is cut in some value of x, such that it ends with an open or a closed point, then these values define the domain).
Such that one of these problems can be like x = 1 in the function:
g(x) = 1/(x - 1)
Because that value causes the denominator to be equal to zero, then the domain of that function will be the set of all real numbers except the value x = 1.
In this case, we have:
f(x) = x^2 - 4
There is no value of x that causes a problem for this function, then the domain is the sett of all real numbers.
Correct option D.
Find the value of x
Answer:
x=-0.5 or x=-1/2
Step-by-step explanation:
Determine the volume if the figures below round to the nearest hundredth
Answer:
48 m³
4,186.67 km³
Step-by-step explanation:
volume of pyramid =
⅓×6×6×4 = 48 m³
volume of ball =
4/3 × 3.14 × 10³ = 4,186.67 km³
please help!
i will reward brainliest
Answer:
37.9 degrees
Step-by-step explanation:
Using the law of sines, [tex]\frac{\sin(m\angle C)}{21}=\frac{\sin(47^\text{o})}{25}[/tex]. It follows that [tex]\sin (m\angle C) = \frac{21\sin(47^\text{o})}{25} \approx 0.6143371[/tex]. Therefore, [tex]m\angle C = \sin^{-1}(0.6143371)=37.9^\text{o}[/tex].
I NEED HELP !! PICTURE IS UP THERE ^
In the figure below, m_2=81º. Find mZ1, mZ3, and mZ4.m 21 =21m 23 =34m 2 4 =
PLEASE HELP MEE IM STRUGGLING I DONT GET THIS AT ALL!!
Answer:
[tex]\angle 1 = 99^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
[tex]\angle 4 = 81^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle 2 = 81^\circ[/tex]
Required
Determine: [tex]\angle 1 . \angle 3 , \angle 4[/tex]
Solving for [tex]\angle 1[/tex], we have:
[tex]\angle 2 + \angle 1 = 180^\circ[/tex] --- angle on a straight line
So, we have:
[tex]\angle 1 = 180^\circ-\angle 2[/tex]
[tex]\angle 1 = 180^\circ-81^\circ[/tex]
[tex]\angle 1 = 99^\circ[/tex]
To solve for [tex]\angle 3, \angle 4[/tex], we have:
[tex]\angle 3 = \angle 1[/tex]
[tex]\angle 4 = \angle 2[/tex] --- Vertically opposite angles
So:
[tex]\angle 4 = 81^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
Solve for x. please help as fast as possible
Answer:
x=6
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
6x=36
÷6 ÷6
x=6
hope this helps,have a great day!!
~Pinky~
A max subscription for Twitch, a streaming service, costs a flat fee of $25. You can then also buy small subscriptions for others for $5 per subscription. Johnny is trying to budget the amount of money he wants to spend.
Let y represent the total amount of money spent, and x represent the number of small subscriptions he purchases.
Answer:
y = 25 + 5x
Step-by-step explanation:
Since the cost of Twitch is $25 no matter what, that will be our y-intercept (essentially when no other subscriptions are bought). Since with every purchase x we make, we spend an additional $5, the slope of the line (x coefficient) will be 5.
5 + {[2 X (14 - 9)] - 1}
Answer:
14
Step-by-step explanation:
[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]
lol help
How many tennis balls would fit inside of the classroom if the room is 30 ft. by
40 ft with 9 ft ceilings?
Answer:
what question is thiswho would count the balls as many which can fit in it
Answer:
Hypothesis: Whitney thought that 5,000 tennis balls would fit into the room, whereas I ... We then figured out that the ceiling juts, the windows, and the corner windows are ... We had to find the height of the room, too, which was about 9 feet.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer: 4.2
Step-by-step explanation:
Here's the formula for how to find the hypotenuse: (a and b are the two legs for the triangle-- it doesn't matter which leg is a and which leg is b, but c MUST be the hypotenuse)
[tex]a^2+b^2=c^2[/tex]
[tex]1.9^2+3.8^2=c^2[/tex]
[tex]3.61+14.44=c^2[/tex]
[tex]18.05=c^2[/tex]
[tex]\sqrt{18.05} =c[/tex]
[tex]c=4.2[/tex]
How do I solve this?
Answer:
find all numbers, stick together o make an uqaion and solve . simplifi if needed
Step-by-step explanation:
What value of c makes x2+6x+c a perfect square trimonial
Answer:
9
Step-by-step explanation:
To solve this just take b (in this case 6x) divide it by 2 and then square it
which means that c=9
this will factor to (x+3)²
arrange the following decimal fractions from smallest to biggest
7,01
0,701
0,71
7,34
7,0101
71,01
7,034
Answer:
0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01
Step-by-step explanation:
11. Eddie is baking cupcakes. He has 7.5 cups of sugar. Each batch of cupcakes requires 0.75 cup of sugar. How many full
batches of cupcakes can Eddie make
Answer:
10
Step-by-step explanation:
7.5/0.75=10
Answer:
10
Step-by-step explanation:
Find the probability of rolling an even number on a standard number cube.
A.certain
B.impossible
C.Ounlikely
D.as likely as not
E.likely
Answer:
D as likely as not.
Step-by-step explanation:
......
Answer:
D. as likely as notExplanation:
P (even number) = 3/6 = 1/2
⇒ as likely as not
A firefighter is on the fifth floor of an office building. She needs to throw a rope into the window on the seventh floor, 40 feet above her. If she throws the rope upward with an initial velocity of 36 ft/s, will the rope get to the window.
Answer:
no, it wont
Step-by-step explanation:
2g.h = v²
2(33)(40) = v²
2640=v²
v=√2640 = 51.38 ft/s
36 < 51.38
so, the rope will not get to the window
Identify the hypothesis of the statement.
If a and b are positive, then a−b is positive.
If a−b is positive, then a and b are positive.
a−b is positive.
a and b are positive.
If a and b are positive, then a−b is positive.
9514 1404 393
Answer:
a and b are positive.
Step-by-step explanation:
The form is ...
IF <hypothesis>, THEN <conclusion>
The hypothesis is the wording between IF and THEN. In your given statement it is ...
a and b are positive
X= root (y-1/y+1) ( make “y” as subject. ) number 19
Answer:
y = (x² + 1) / (1 – x²)
Step-by-step explanation:
x = √[(y – 1)/(y + 1)]
We can make y the subject of the expression as shown below:
x = √[(y – 1)/(y + 1)]
Take the square of both side
x² = (y – 1) /(y + 1)
Cross multiply
x²(y + 1) = (y – 1)
Clear bracket
x²y + x² = y – 1
Rearrange
x² + 1 = y – x²y
Factorise
x² + 1 = y(1 – x²)
Divide both side by (1 – x²)
y = (x² + 1) / (1 – x²)
Find the surface area of the hemisphere 6cm
Answer:
452.4 cm^2
Step-by-step explanation:
[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]
I hope that is useful for you :)
what is the answer to 5(10.5 + s)?
Ok so when a parenthesee or this symbol ( is beside a letter/Number, in this case 5 you multiply it by whats inside, so 5x10.5, and 5x10.5=52.5. Now for S, it would be 52.5+S.
That is your answwer, and if you wouldn't mind, could I have brainliest?
Solve the equation of 4y=20 then find the value of y?
Answer:
y=5
Step-by-step explanation:
Answer:
4y=20
y=20/4
y=5
Step-by-step explanation:
Hope this helps u!!
can someone help me please
Answer:
perimeter: 36
area: i dont know sorry
Step-by-step explanation:
which expression has a value equal to 28 divided by 4
Answer:
28/4
7
56/8
14/2
63/9
70/7
√49
∛343
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
sqrt 4^2+3^2=5
Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
8560.75
Answer:
apply heros formula √15.5(15.5-10)(15.5-10)(15.5-11
Eugene has three six‐sided dice that he rolls simultaneously. The faces of the dice
contain these letters:
Die #1: A B C D E F
Die #2: G H I J K L
Die #3: M N O P Q R
a. What is the probability that he will roll three vowels? (3 points)
b. What is the probability that he will roll the word DIP?
Answer:
a. The probability is 1 of 108 that he will roll 3 vowels
b. the probability is 1 of 216 that he will roll the word DIP.
Step-by-step explanation:
a. find the 3 chances and multiply
2/6 x 1/6 x 1/6 = 1/108
b. Find the 3 chances of each letter of DIP and multiply
1/6 x 1/6 x 1/6 = 1/216
Hope this helps! (PLS GIVE BRAINLIEST)
What is the distance between the two points shown on the coordinate plane below?
Answer: 16
Step-by-step explanation:
Answer:
[tex]distance = \sqrt{ {(8 - ( - 8))}^{2} + {( - 6 - ( - 6))}^{2} } \\ = \sqrt{256} \\ = 16 \: units[/tex]
How many faces does this shape have?
125 ft to yd what is the answer
Answer:
your answer is 41.6667
Answer:
41 2/3 yards
Step-by-step explanation:
Divide by 3 because 3ft in one yard
125 / 3 = 41 2/3 yards
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
3x + 1/4 y^2
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit. (4 points)
Answer:
13
Step-by-step explanation:
Given :
3x + 1/4 y^2
For x = 3 ; y = 4
3(3) + 1/4(4^2)
9 + 1/4(16)
9 + 4
= 13
Help please! Much appreciated
Answer:
a. Sin B = 15/17
b. Cos B = 8/17
c. Tan B = 15/8
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = B
Opp = 15
Adjacent = 8
Hypotenuse = 17
a. Sin B = Opp/Hyp (applying SOH)
Substitute
Sin B = 15/17
b. Cos B = Adj/Hyp
Substitute
Cos B = 8/17
c. Tan B = Opp/Adj
Substitute
Tan B = 15/8