Applying the division of functions f(x) and g(x), it is found that the quotient and the domain are given, respectively, by:
3) 2x + 3; domain is the set of all real numbers except 1.
What is the domain of a function?It is the set that contains all possible input values.
In this problem, the functions are given as follows:
f(x) = 2x² + x - 3.g(x) = x - 1.Hence the division is given by:
[tex]\frac{f(x)}{g(x)} = \frac{2x^2 + x - 3}{x - 1}[/tex]
The denominator cannot be zero, hence the domain is [tex]x \neq 1[/tex].
Considering that 2x² + x - 3 = (2x + 3)(x - 1), the function can be simplified as 2x + 3, hence option 3 is correct.
More can be learned about the domain of a function at https://brainly.com/question/10891721
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Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Yes, SAS Theorem
Step-by-step explanation:
The triangles are congruent because of SAS Theorem that states that if two triangles have two sides and the angel in between them congruent the triangles are congruent.
JK≅NM (Side) because the sides have the same measure 74in. they are ≅
∡J≅∡M (Angle) because the angles have same measure 37° they are ≅
JL≅PM (Side) because the sides have the same measures 46in. they are ≅
Here's an equation of a line:
y - 4x = 4
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
4y + x= -8
y + 4x = 1
2y – 8x = -5
- 4y + x= -8
Step by step explaination
y-4x= -4
y= 4x-4
slope of the given eqn of line = 4
and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4
OPTION C , the eqn has slope = 4
Awnser this for brainliest.
Answer:
1 is the number that goes in the blank
Step-by-step explanation:
3(2x+1)
Distribute
3*2x+3*1
6x+3
Answer:
3*2x+3*1
6x+3
hope it help
i will give brainliest.
Answer:
speed
Step-by-step explanation:
pls anyone that can help
A. 34cm
Hope this helps! :)
Answer:
I think it’s b but I’m not 100% sure tho…
2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?
Answer:
Independent
Step-by-step explanation:
Since the ball is replaces, the same number of balls and type of balls are in the bag. The draw is identical to the first draw so the draws are independent.
CAN ANYONE HELP ME WITH THIS PLEASE??
Answer:
The answer is A. 6.4 and 5.6 and D. 39 and 27.
Step-by-step explanation:
A. 6.4 and 5.6 = 1.6 and 1.4
6.4 / 1.6 = 4
1.4 * 4 = 5.6
So A is correct.
D. 39 and 27 = 13 and 9
39 / 13 = 3
9 * 3 = 27
So D is correct.
Hope this helps! :)
Adams Stationary sells cards in packs of 6 and envelops in packs of 9. If HyunSik wants the same number of each, what is the minimum number of cards that he will have to buy?
Answer:
54
Step-by-step explanation:
Adam sells stationary cards in pack of 6
And also envelops in pack of 9
Therefore the minimum number of cards he have to buy can be calculated as follows
= 9×6
= 54
Which one is the correct answer above?
How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0
1. 2
2. 0
3. 1
4. 3
Answer:
Option 1: 2
Step-by-step explanation:
see the plotting (made with desmos)
note that 3 is impossible, because a quadratic equation can't have 3 real zeros
Each month Judy and jills cupcake shop pays $1850 in monthly expenses . They need to make at least as much as they spend each month. Which inequality shows, x, the amount of money they need to make it each month
Answer:
x is greater than or equal to 1850
Step-by-step explanation:
This is because they need to make AT LEAST this much.
Answer:
I ned help
Step-by-step explanation:
find the product (3n-4)(3n-4)
Answer:
9n-8 is the product
Answer:
Search Quickmath in Chrome and
all problem will solve... I hope it helps and trust me it works
Kelly is flying a kite. She staked the kit to the ground. The angle of elevation between the string and ground is 70˚. The string on the kite is 65 meters long. How far is the kite above the ground? (Round to two decimal places)
Answer:
Step-by-step explanation:
What is the value of x in the diagram below?
Answer:
Step-by-step explanation:
This is a parallelogram. In parallelogram, opposite sides are equal.
x + 3 = 6
x = 6 - 3
x = 3
Answer:
3
Step-by-step explanation:
parallelogram - top side = bottom side (parallel sides)
; x + 3 = 6
; x = 6 - 3
; x = 3
I need help please!!!
Answer:
1
Step-by-step explanation:
Answer:
log x^2 sqrt(y)
Step-by-step explanation:
1/2 log y + 2 logx
We know that a log b = log b^2
log y^ 1/2 + log x^2
We know that log a + log b = log (ab)
log x^2 y^ 1/2
log x^2 sqrt(y)
Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years
Answer:
50$
Step-by-step explanation:
5% of 500=25
If you earn 25 per year then in two years you will earn
25+25=50$
what is 3x+8 + 4x+10
7x+18-answer
Step-by-step explanation:
3
+
8
+
4
+
1
0
3x+8+4x+10
3x+8+4x+10
Simplify
1
Add the numbers
3
+
8
+
4
+
1
0
3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}
3x+8+4x+10
3
+
1
8
+
4
3x+{\color{#c92786}{18}}+4x
3x+18+4x
2
Combine like terms
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]3x + 8 + 4x + 10[/tex]
Bring the like terms together & add them.
[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]
[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
╭═══════ღ❦ღ══╮
[tex]RainbowSalt2^{2}2^{2}[/tex]
╰══ღ❦ღ═══════╯
Do the side lengths 7, 20 and 21 form a right triangle?
==============================================
Work Shown:
a^2+b^2 = c^2
7^2+20^2 = 21^2
49+400 = 441
449 = 441
We end up with a false equation, so the original equation is false for those a,b,c values.
By the pythagorean theorem converse, we do not have a right triangle.
Because a^2+b^2 > c^2, this triangle is acute.
Which is the solution to the inequality?
3
8
15
o b< 2 1
15
Ob>27
o b<3 77
O b>37
Answer:
D (last answer)
Step-by-step explanation:
solve and simply
smallest to largest. Here are four decimal numbers: 0.9, 0.5, 0.8, 0.1
Answer:
0.1,0.5,0.8,0.9
Step-by-step explanation:
4 1/2 ounces per 3/4 miles
_____ ounces per 1 mile
Answer: 6
Step-by-step explanation:
To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.
[tex]\frac{3}{4}[/tex]×[tex]\frac{4}{3} =1[/tex]
We need to multiply the 4 1/2 ounces by 4/3 too
[tex]4\frac{1}{2}[/tex]×[tex]\frac{4}{3} =6[/tex]
4 1/2 ounces per 3/4 miles
6 ounces per 1 mile
Answer:
6 ouncesStep-by-step explanation:
Let the unknown number be x
[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]
Now simply use cross multiplication to solve it
[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]
Now make x as the Subject
[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]
So the answer is
6 ouncesGiven that the area of the trapezoid is 55cm find x
Answer: The value of x is 13.
Step-by-step explanation:
Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]
Here , Parallel sides = 9 cm , x cm
Height (Altitude ) = 5 cm
Area = 55 sq. cm
Substitute all values in the formula , we get
[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]
Hence, the value of x is 13.
(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)
Fill in the blank with the correct word.
When solving a numerical expression, you must add or subtract from left to type your answer...
order.
Please help!
Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)
Answer:
y = -0.14286x + 1.2857
Step-by-step explanation:
Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.
Hope that this helps!
9514 1404 393
Answer:
5x -7y = -3
Step-by-step explanation:
The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.
Find the new constant by using the x- and y-values of the given point.
-7x -5y = 9 . . . . given equation
-5x -7y = c . . . . equation with coefficients swapped
5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated
5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3
The equation of the perpendicular line is ...
5x -7y = -3
PLEASE HELP ME !! I BEG
Answer:
d yr welcome
Step-by-step explanation:
Option 'B' is the correct option:
[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]
If Adrian were to spin the spinner 400 times, how many times could he
expect to get yellow? Use theoretical probability.
Answer:
c
Step-by-step explanation:
What is the equation of a circle with center (7, 2) and radius 2?
Answer:
(x - 7)² + (y - 2)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (7, 2 ) and r = 2 , then
(x - 7)² + (y - 2)² = 2² , that is
(x - 7)² + (y - 2)² = 4 ← equation of circle
HELP HELP HELP HELP HELP
Answer:
C
Step-by-step explanation:
7x+ 11x=90
because the whole angle is
90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90
Answer:
option c is correct
Step-by-step explanation:
7x + 11x =90 degree (being perpendicular)
18x=90
x=90/18
x=5
Jacob's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 8 senior citizen tickets and 3 child tickets for a total of $100. The school took in $132 on the second day by selling 6 senior citizen tickets and 7 child tickets.
Answer:
What is the question pls