Answer:
A
Step-by-step explanation:
Given
f(x) = [tex]\frac{2}{3x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex] ← excluded value
Then
domain is ( - ∞ , - [tex]\frac{2}{3}[/tex] ) U ( - [tex]\frac{2}{3}[/tex], ∞ ) → A
If px-3+qx+1=2x+3,Find the value of p+q
One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
question in picture, math.
Answer:
beginning of march 4.1
beginning of jun 6.4
Step-by-step explanation:
BD=16 and AC is the perpendicular bisector of BD
Answer:
AC =
Step-by-step explanation:
AC = 16/2
= 8
THAT IS THE SOLUTION ABOVE
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
1. What is the solution of the system of equations?
y = -3x + 8
y = -5x - 2
Answer:
This system of equations has no solution since the first one says:
x
2
−
y
=
8
while the second one gives us:
x
2
−
y
=
−
(
y
−
x
2
)
=
−
0
=
0
and
8
≠
0
Step-by-step explanation:
Can someone help me with this
Answer:
Step-by-step explanation:
Consider the following proportion:
2 12
— -—
7 x
Use cross products to write the equation: 2x = 84.
What is the value of x?
[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]
What is the answer to this question
If you added 74 and 5/8, would the answer be more than 12, less than 12, or
exactly 12? How do you know?
Answer:
more than 12
Step-by-step explanation:
because one of the numbers is already larger than 12
A lunch menu consists of 2 types of tortillas and 5 different fillings. How many choices are there for ordering a burrito with one filling?
Answer:
You can choose between 10 different choices.
Step-by-step explanation:
Given that a lunch menu consists of 2 types of tortillas and 5 different fillings, to determine how many choices are there for ordering a burrito with one filling, the following calculation must be performed:
2 x 5 = X
10 = X
Therefore, you can choose between 10 different choices.
Express y in terms of x in the equation ax + by = c where b is not equal to zero.
HELLLP
Answer:
y=(-ax+c)/b
Step-by-step explanation:
ax+by=c
by=c-ax
by=-ax+c
y=(-ax+c)/b
18. Ingrid usually runs 12 miles in 2 hours. If she
only has 40 minutes to run today, how many
miles can she run going at the same rate?
A. 2.4 miles
B. 3 miles
4 miles
2
D. 6-miles
Answer:
4 miles
Step-by-step explanation:
120min/12miles
10min/1mile
40min/4miles
The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Ingrid usually runs 12 miles in 2 hours.
2 hours = 120 minutes
Then the speed will be
Speed = 12 / 120
Speed = 0.1 miles per minutes
If she only has 40 minutes to run today.
Then the number of miles can she run, going at the same rate will be
Distance = 0.1 x 40
Distance = 4 miles
Then the correct option is C.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
Solve for x, then choose
the correct graph.
- 3x > 12
answer:
-4
Step-by-step explanation:
-3x>12
x<-4
the correct graph is graph b
How can I solve this problem
Answer:
x = 27
Step-by-step explanation:
I'm going to use letters to label the parts of the triangle while explaining how to solve for x:
Angle A = x (bottom left angle of the triangle)
Angle B = 4x (top angle of the triangle)
Angle C = empty angle (bottom right angle of the triangle)
Angle D = 3x + 54 (angle outside of the triangle)
A line has a angle measurement of 180 degrees.
Angle C & D make up the line, meaning Angle C + Angle D = 180 degrees.
To find Angle C, we would subtract Angle D's equation from 180 like this:
180 - (3x + 54)
Now Angle C equals 180 - (3x + 54)
Now we have all the angles inside the triangle. To find x, we are going to sum up Angle A, B, & C and set it equal to 180.
We set the equation to 180 because a the sum of the interior angles for a triangle is 180.
The equation looks like this:
(180 - (3x + 54)) + 4x + x = 180
Now we use basic algebra to solve it:
(180 - (3x + 54)) + 4x + x = 180
(distribute the - to (3x + 54))
180 - 3x - 54 + 4x + x = 180
(add like terms on the left side of the equation)
126 + 2x = 180
(subtract 126 from both sides)
2x = 54
(divide both sides by 2)
x = 27
To prove this answer is correct, plug it back in the original equation and you'll see that it ends up equaling 180, which is the sum of interior angles for triangle.
Hope it helps (●'◡'●)
What is X if
[-1 -2] +X = [-5 -1]
[4 8] [ 2 1]
A)
[-6 -3]
[6 9]
B)
[-6 -3]
[-2 -7]
C)
[-4 1]
[-2 -7]
Answer:
I think that ans is A.....
Someone please help me with this math problem?
Answer:
(C) 0.3(10 + 4h) = 0.25(6h)
Step-by-step explanation:
Here's what we know about Fernando's fees:
$10 is the initial fee
$4 is the hourly fee (h)
Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)
Here's what we know about Brenna's fees:
No initial fee
$6 is the hourly fee (h)
Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)
We want to find which hour Fernando and Brenna will have saved the same amount of money.
To do this, let's first set up an equation for Fernando and Brenna separately:
Fernando's equation:
0.3(10 + 4h) = how much money he saves from the total cost
Brenna's equation:
0.25(6h) = how much money she saves from the total cost
Now we set them equal to each other:
0.3(10 + 4h) = 0.25(6h)
There's your answer!
Hope it helps (●'◡'●)
evaluate f(x)=1/4x for x=-5
option 1. -1/20
option 2. -1 1/4
option 3. 20
option 4. -4/5
Answer:
option 2. -1 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1/4x
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-5) = 1/4(-5)Multiply: f(-5) = -5/4Simplify: f(-5) = -1 1/4Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?
508 seconds
510 seconds
509 seconds
508.8 seconds
Answer:
508.8 seconds
Step-by-step explanation:
The most accurate determination mathematically is to assume that Lola will maintain an average of 5.3 seconds per signature as she signs all 96 invitations.
Therefore, multiply the time it takes her to sign each invitation (5.3 seconds) by the total number of invitations there are (96 invitations) to get the projected total amount of time that it will take Lola to sign all 96 invitations:[tex]96\cdot 5.3=\boxed{508.8\text{ seconds}}[/tex]
Answer:
508.8 seconds (8.48 minutes)
Step-by-step explanation:
96 × 5.3 = 508.8
Far behind does anyone know this?
Answer:
the answer is A
Step-by-step explanation:
comment if you want explanation
Answer:
A is the answer to your question
If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?
Given:
2.2 pounds = 1 kilogram
Weight of Mary = 120 pounds.
To find:
The weight of Marry in kilograms.
Solution:
We have,
2.2 pounds = 1 kilogram
Using this conversion, we get
1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram
120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram
= [tex]\dfrac{120}{2.2}[/tex] kilogram
[tex]\approx 54.54[/tex] kilogram
Therefore, the weight of Mary is about 54.54 kilograms.
Find x from this triangle
Hello,
we are going to use the theorem of the bissectrice. (if this word is good in english)
[tex]\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}[/tex]
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
There are 6 numbers on the dice, rolling a 3 would be 1/6
Multiply total rolls by probability of getting a 3:
132 x 1/6 = 132/6 = 22
The answer: 22 times.
Help me if you dont mind
Answer:
B
left side results in 42 and right side results in 42
how many divisors does 56 have?
Answer:
1,2,4,7,8,14,28,56 those are the divisors for 56
Step-by-step explanation:
hope that helps >3
56 7*2^3 1,2,4,7,8,14,28,56
PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?
A. (12, 8)
B. (3, 5)
C. (-3, 3)
D. (0, 4)
Answer:
A number has to be the answer
What is the measure of arc BC?
А
o
50°
25
E
C
D
pls help if u can:)
Answer:
arc BC = 100°
Step-by-step explanation:
The inscribed angle BEC is half the measure of its intercepted arc BC , then
arc BC = 2 × 50° = 100°
I need help. Someone please figure it out
Answer:
[tex]\frac{1}{2^{n} }[/tex]
Step-by-step explanation:
The rules of exponents state that
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] and [tex]a^{0}[/tex] = 1
Thus
[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]
[tex]2^{-4}[/tex] = [tex]\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{16}[/tex]
[tex]2^{-3}[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex]
and so on , to
[tex]2^{0}[/tex] = 1
Q2: 8,15,22,29,36,............ A sequence of numbers is shown above. a) Find the 10th term of the sequence. *
This is a required question
b) Find the nth term of the sequence. *
c) Which term of the sequence is equal to 260. *
Answer:
a) 71
b) an = a1 + (n-1)×7
c) the 37th term
Step-by-step explanation:
clearly, an+1 = an + 7
so, any new term is the previous term plus 7.
a1 = 8
and then the sequence goes on. starting with a2 we add 7 every time.
so, for an we added 7 n-1 times to a1. n-1 because for a1 we did not have to add 7.
therefore, the building function of this sequence to calculate the nth term is
an = a1 + (n-1)×7
a10 = a1 + 9×7 = 8 + 63 = 71
and
ax = 260 = a1 + (x-1)×7 = 8 + 7x - 7 = 1 + 7x
259 = 7x
x = 37
=> the 37th term of the sequence is 260
someone please help!!