Answer:
[tex]\mathrm{Domain\:of\:}\:\frac{x-1}{x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:x>-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:\infty \:\right)\end{bmatrix}[/tex]
Therefore, the 4th option i.e. (−∞, −3) (−3, ∞) is the correct answer.
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)=\frac{x-1}{x+3}[/tex]
We know that the domain is the set of all the input or argument values for which is the function is real and defined.
From the given expression, we need to make sure the denominator of a rational function can be anything but 0, because 0 would make the function undefined.
Thus, we need to find undefined points such as:
x+3 = 0
x = -3
Therefore, the function domain must be:
x < -3 or x > -3
In other words,
[tex]\mathrm{Domain\:of\:}\:\frac{x-1}{x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:x>-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:\infty \:\right)\end{bmatrix}[/tex]
Therefore, the 4th option i.e. (−∞, −3) (−3, ∞) is the correct answer.
giving brainly and points
OTHER ONE WASNT 50. 50 POINTS AND BRAINLIST IF GET RIGHT
10 times
100 times
600 times
Or 1000 times
Answer:
600 im pretty sure
Step-by-step explanation:
What is the constant in the expression -18 - 3a
Answer:
'-18' is the constant in the expression -18 - 3a.
Step-by-step explanation:
We know that in an algebraic expression the constant term has a fixed value and it can not be changed.
For example,
The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.
IN OUR CASE,
Given the expression
-18 - 3a
As '-18' is a fixed number and its value can not be changed.
Therefore, '-18' is the constant in the expression -18 - 3a.
Please help parts b and c
Answer:
a = 2
b = 4
c = 8
Step-by-step explanation:
Remember the relationship:
[tex](a^{x})^{y} = a^{x*y}[/tex]
First, in "a" we have:
a) [tex]8^{1/3} = \sqrt[3]{8} = 2[/tex]
then in the next ones, we can use the result that we obtained in the part a:
b) [tex]8^{2/3} = (8^{1/3})^2 = (2)^2 = 4[/tex]
Now we can do exactly the same in c:
c) where first we need to know that:
2*2*2*2 = 4*4 = 16
then:
2^4 = 16
then:
[tex]\sqrt[4]{16} = 16^{1/4} = 2[/tex]
Now let's solve the problem:
[tex]16^{3/4} = (16^{1/4})^3 = (2)^3 = 2*2*2 = 8[/tex]
what is the area of xyz
Byron earned some money mowing the neighbor's lawn. He spent one-fourth of his money to see a movie. Then he spent $6.00 on popcorn and drinks. When he went home, he had $24.00 left. How much did Byron earn mowing the neighbor's lawn? Byron earned $ .00 mowing the neighbor's lawn.
Answer:
$40
Step-by-step explanation:
Let y represent the amount of money that Byron earned mowing the neigbours's lawn.
Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4
Them he spent $6 on porpcon and drinks; which means that the total amount spent
= y/4 + 6
The amount left would be
y - (y/4 + 6) = y - y/4 - 6
When he went home, he had $24.00 left which means that;
y - y/4 - 6 = 24
y - y/4 = 24 + 6
3y/4 = 30
Cross multiply
3y = 120
y = $40
Therefore, Byron earned $40 mowing the neighbour's lawn.
Answer:
40 give him brainliest
Step-by-step explanation:
Kelvin finds a tile shaped like a triangle. He measures its angles to discover that it has two acute angles and one right angle. What type of triangle did Kelvin find obtuse triangle, acute triangle or right triangle?
Answer:
right triangle
Step-by-step explanation:
A Right triangle is a triangle that has one of its angle as 90°.
Since the triangular shaped tiles has a right angle, the kind of triangle Kevin found will be a right triangle.
A right triangle has two acute angles (angles less than 90°) and a right angle
PLEASE HELP
need to know cos(F), sin(F), and tan(F)
WILL GIVE BRAINLIEST
Answer:
Cos(F) = 5/13
Sin(F) = 12/13
Tan(F) = 12/5
Step-by-step explanation:
Soh Sine: Opposite(12) over Hypotenuse(13)
Cah Cosine: Adjacent(5) over Hypotenuse(13)
Toa Tangent: Opposite(12) over Adjacent(5)
A hotdog costs $3 and a corndog costs $1.5 . If was collected, write a mathematical sentence to represent this information.
Answer:
4.5
Step-by-step explanation:
3+1.5=4.5
what is the function, domain, and range??
{(1,-2), (-2,0), (-1,2), (1,3)}
Answer:
the relation is NOT a function
domain: { 1,-2,1}
range: { -2, 0, 2, 3}
Step-by-step explanation:
A building is 200 feet high. One end of a wire is attached to the top of the building.
The other end is attached to the group 150 feet away from the base of the building. How
long is the wire?
Answer:
250 feet
Step-by-step explanation:
If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.
a= 200
b= 150
c= ?
40,000 + 22,500 = c^2
62,500 = c^2
c = √62,500
∴ c = 250
Please I need help...
Answer:
(2,-2)
I hope this helps:
10 mi
6 mi
b
What is the length of the missing leg?
b
miles
Answer:
The length of the missing leg:
b = 8 milesStep-by-step explanation:
Given
c = 10 mia = 6 miTo determine:
The length of the leg b = ?
For a right-angled triangle, with sides a and b the hypotenuse c is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
We can find the length of the leg b using the formula
[tex]b=\sqrt{c^2-a^2}[/tex]
substituting c = 10 and b = 6 in the formula
[tex]b=\sqrt{10^2-6^2}[/tex]
[tex]b=\sqrt{100-36}[/tex]
[tex]b=\sqrt{64}[/tex]
[tex]b=\sqrt{8^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]b=8[/tex] mi
Therefore, the length of the missing leg:
b = 8 mileswhat is the missing term of ..9, __ , 19
Answer:
The answer could be anything, but if it's an arithmetical sequence, then it's 14.
Step-by-step explanation:
I'm assuming that the added numbers always stay the same, meaning it's linear. If you add 5 to 9, you get 14. If you add 5 again, you get 19. Another way of doing this is (19-9)/2 = 5, then 9+5=14.
What's the "x" in -3x + 17 = -4?
Answer:
What's the "x" in -3x + 17 = -4?
Step-by-step explanation:
What's the "x" igcugxxugutdffifiyfiyfiyfuydutdtuuffufuyfufutyfufufutfuyfufutfuttfuuffufuufugfiyfygugutuyuggiygiyyfiygiufiyfiyfiyin -3x + 17 = -4?
Answer:
x=7
Step-by-step explanation:
-3x + 17 = -4
-3x=-4-17
-3x=-21
x=7
y= -5 + 2x
Is it positive or negative
Frank thinks that 2x + 3x2 is the same as 5x3. Which statement shows that it is NOT the same? 2x + 3x2 = 5x2 2(6) • 3(6)2 ≠ 5(6)3 2x + 3x ≠ 5x 2(4) + 3(4)2 ≠ 5(4)3
Answer:
The correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Step-by-step explanation:
Note: This question is not written in the proper form. It is therefore properly rewritten before answering the question as follows:
Frank thinks that 2x + 3x^2 is the same as 5x^3. Which statement shows that it is NOT the same?
A. 2x+3x^2 = 5x^2
B. 2(6) * 3(6)^2 ≠ 5(6)^3
C. 2x +3x ≠ 5x
D. 2(4) +3(4)^2 ≠ 5 (4)^3
The explanation of the answer in now given as follows:
The answer is determined by verifying which of the options has the same functional form as the functional form in the question and it is NOT disproved.
As it can be seen, only option has the same functional form as the functional form in the question.
Given 2(4) +3(4)^2 ≠ 5 (4)^3
By doing the calculation of each side, we have:
2(4) +3(4)^2 = (2 * 4) + (3 * 4^2) = 56
5 (4)^3 = 5 * 4^3 = 320
Therefore, 2(4) +3(4)^2 ≠ 5 (4)^3
Since the calculation does not disprove that 2(4) +3(4)^2 ≠ 5 (4)^3, the correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Answer: D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Step-by-step explanation: I got it write on one of my tests.
How many 5/6 are in 2/3
Answer:
The amount is 4/5 of 5/6 is in 2/3.
Step-by-step explanation:
There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example 4/2 = 2
We have to determine how many 5/6 are in the fraction 2/3.
The numbers are given in the question below
2/3 and 5/6
According to the given question, the required solution would be as:
⇒ 2/3 ÷ 5/6
⇒ (2/3) / (5/6)
Reciprocal the terms of the numerator in the above expression
⇒ (2/3) × (6/5)
Apply the multiplication operation,
⇒ 12 / 15
Reduce the fraction in the simplest form,
⇒ 4/5
Therefore, there 4/5 is 5/6 in the fraction 2/3.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ2
Tomas wants to spend less than $100 for a new soccer ball and
shoes. The ball costs $ 24 . Write an inequality that gives the
amount that Tomas can spend on shoes.
Answer:
x+24<100
Step-by-step explanation:
Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
A. $5.21
B. $6.31
C. $16.31
D. $34.79
Answer:
the answer would be A because when u subtract it the answer is $5.21
Part C Find the values for a and b. Explain or show your reasoning. Answer Part D What is the y-coordinate when x = 0? Explain or show your reasoning. Answer
Answer:
(a)
[tex]b = 6[/tex] and [tex]a = 5[/tex]
(b) [tex]x = 1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (4,b)[/tex]
[tex](x_3,y_3) = (a,8)[/tex]
[tex](x_4,y_4) = (6,10)[/tex]
See attachment
Solving (a): The values of a and b
First, calculate the slope of the line:
[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]
Let c = 4 and d = 1
[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]
So, we have:
[tex]m = \frac{10 - 2}{6 - 2}[/tex]
[tex]m = \frac{8}{4}[/tex]
[tex]m = 2[/tex]
To solve for the value of b, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 2 and d = 1
So, we have:
[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]
[tex]\frac{b - 2}{2} = 2[/tex]
Multiply both sides by 2
[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]
[tex]b - 2 = 4[/tex]
Add 2 to both sides
[tex]b - 2 +2= 4 + 2[/tex]
[tex]b = 6[/tex]
To solve for the value of a, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 3 and d = 1
[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]
[tex]\frac{8 - 2}{a- 2} = 2[/tex]
[tex]\frac{6}{a- 2} = 2[/tex]
Cross Multiply
[tex]2(a-2) = 6[/tex]
Open bracket
[tex]2a-4 = 6[/tex]
Add 4 to both sides
[tex]2a-4+4 = 6+4[/tex]
[tex]2a= 10[/tex]
Divide both sides by 2
[tex]a = 5[/tex]
Solving (b): The value of y when x = 0.
This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]
Apply slope formula
[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] [tex](x_5,y_5) = (x,0)[/tex]
[tex]\frac{0 - 2}{x - 2} = 2[/tex]
[tex]\frac{- 2}{x - 2} = 2[/tex]
[tex]-\frac{2}{x - 2} = 2[/tex]
Cross Multiply
[tex]-2 = 2 * (x - 2)[/tex]
[tex]-2 = 2 x - 4[/tex]
Collect Like Terms
[tex]4 - 2 = 2x[/tex]
[tex]2 = 2x[/tex]
Divide both sides by 2
[tex]1 = x[/tex]
[tex]x = 1[/tex]
Salvador sold hats during a weekend sporting event. On Saturday, Salvador sold 47 of the total number of hats. On Sunday, he sold 14 of the total number of hats. What fraction of the total number of hats was left over
Answer:
[tex]\frac{x - 61}{x}[/tex]
Step-by-step explanation:
Let x = total number of hats sold
hat left after sales = x - (47 + 14 ) = x - 61
x - 61 / x
I NEED HELP PLEASE !!!
Answer:
point
Step-by-step explanation:
because it's a point and it doesn't have a line.
Compare and contrast the 3 triangle congruency ASA, AAS and SAS.
Answer:
ASA and AAS are two postulates that help us determine if two triangles are congruent. ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. ... ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side
Step-by-step explanation:
3) This decimal is colored to show
1
5x - 7(2 - 4x)
i need help simplifying
Answer:
33x - 14
Step-by-step explanation:
5x - 7 (2 - 4x)
5x - 14 + 28x
33x - 14
Answer:
it's 18x-10 and I'm also new and I searched it up in the internet
Step-by-step explanation:
ik online school is hard but they to download Every app thats for school so you can cheat
A hall measures 12 metres long,
10 metres wide and 4 metres high.
What is the surface area of the
walls?
A 480 m2
B 176 m2
C.88 m2
D. 416 m2
[tex]\huge\sf\red{Answer : - }[/tex]
Given :- Length of the hall = 12mwide of the hall (Breadth) = 10mHeight of the hall = 4mTo Find :- Surface area of the walls (Four walls area)Formula :-Four walls area of the hall = 2h(l+b)
where,
h = height l = lengthb = breadthSolution : -By substituting values according to the formula,
➙ 2 × 4m(12m + 10m)
➙ 8m(22m)
➠ 176m²
It's option B
Hence, The surface area of the walls is (B) 176m²0.10( y-7)+0.02y=0.20y-0.4 it has to be an integer or decimal ergent!
9514 1404 393
Answer:
y = -3.75
Step-by-step explanation:
Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.
0.10(y -7) +0.02y = 0.20y -0.4
0.10y -0.70 +0.02y = 0.20y -0.40
-0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms
-0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y
-0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y
Determine the intercepts of the line.
y=8x - 18
y-intercept:
x-intercept:
Answer:
y-intercept: -18
x-intercept: 9/4
Step-by-step explanation:
Substitute x = 0, we find that y = -18 i.e. the y-intercept is -18.
Substitute y = 0, we find that x = 9/4 i.e. the x-intercept is 9/4.
what is the greatest common factor of 20 and 36?
Answer:
4
I just know this, theres no explanation.The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.