Set denominator to zero and solve for x.
x^2 - x - 12 = 0
Factor.
(x - 4)(x + 3) = 0
Solve each factor for x.
x - 4 = 0
x = 4
x + 3 = 0
x = -3
Answer:
The domain is ALL REAL NUMBERS except for x = 4 and x = -3.
someone pease help me i really need it and giving brainlist to first answer
Answer:
I think this is what is wanted
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyyyy
Answer:
Step-by-step explanation:
hlep me plsssssssssssssssssssssssss
Answer:
B.
Step-by-step explanation:
It is not A because it does not make sense and does not match up.
It Is not C because that is just points and it is asking for a function.
D is wrong.
So It is B.
Here is the graph for B. It matches up.
[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]
[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]
Please help. I really need an explanation on how to solve and graph the first equation.
Answer:
see attached
Step-by-step explanation:
The "slope-intercept" form of an equation for a line is ...
y = mx + b . . . . . . slope m, y-intercept b; m = rise/run
__
boundary linesThere are several ways to graph equations for a line. One is to make use of the intercepts. That is easiest when their coordinates are integer values. The second inequality is in slope-intercept form, so it is easy to see that its y-intercept is -2.
The first inequality can be put into slope-intercept form by solving for y. That is easily done here by subtracting 6x:
y ≤ -6x +10
This shows you the boundary line has a slope of -6 and a y-intercept of 10. To graph it, you can plot the points (0, 10) and (1, 4) and draw a line through them. The point (1, 4) is found by using a "rise" of -6 and a "run" of 1 from the y-intercept:
m = -6 = rise/run = -6/1
(y-intercept) + (run, rise) = (0, 10) +(1, -6) = (1, 4) . . . . another point on the line
__
Similarly, the boundary line of the second inequality goes through its y-intercept (0, -2) and the point (y-intercept) +(1, 5) = (1, 3). Points (0,-2) and (1, 3) are two points on that boundary line.
__
In both cases, the inequality includes the "or equal to ..." case, so the boundary line is part of the solution set. Accordingly, each is drawn as a solid line (not dashed).
__
shadingTo determine where the shading is, you can choose any term with a positive coefficient and look at where it is in relation to the inequality symbol. For your two inequalities, we can look at the left side of the inequality.
first: 6x ≤
second: y ≥
These tell you the first solution set is shaded to the left of the boundary line (where x-values are less than those on the line). The second solution set is shaded above the boundary line (where y-values are greater than those on the line). The solution set for the system of inequalities is the doubly-shaded area to the left of both boundary lines.
_____
Additional comment
The x-term in the second inequality has a positive coefficient also. If we were to look at that one, we would see ≥ 5x. That is, the boundary line has greater x-values than those in the solution set, so it, too, will be shaded to the left. (Left and above are the same half-plane for a line with positive slope.)
If both coefficients are negative, you can multiply by -1, which will also reverse the inequality symbol.
Example: -x-y>6 ⇒ x+y<-6; shaded left or below dashed line.
Part 2: Find the area of each of the given shapes below. If a shape has shading, find the area of the shaded region only. NO LINKS!
Answer:
b. 256 m²
d. 324 cm²
f. 35 in²
Step-by-step explanation:
b.The shaded area is the difference between the areas of the outer rectangle and the inner one:
A = (24 m)(12 m) -(8 m)(4 m) = 288 m² -32 m² = 256 m²
__
d.The steps are all the same height and width. Their height is (18 cm)/3 = 6 cm, so the height of the middle step is 2×6 cm = 12 cm. The area of the figure will be the product of the base and the average step height:
A = (27 cm)(12 cm) = 324 cm²
You might be able to visualize this as cutting off the top step even with the middle on and placing it on top of the bottom step.
__
f.The triangle area formula applies.
A = 1/2bh = 1/2(4" +10")(5") = 35 in²
_____
Additional comment
The formula for area of a rectangle is ...
A = LW . . . . . the product of length and width
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W=5) AS AN EQUIVALENT EXPRESSION
answer ?
30 or 30W
Step-by-step explanation:
this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30
please help!!! i dont understand
Answer:
C(t)=0.10t + 25
Step-by-step explanation:
gradient = change in y/ change in x = 5/50 = 0.10
the y intercept is 25
so the equation is y = 0.1t + 25
7/18 divided 13/36 help
Answer:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/18 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
18 = 2 × 3^2;
gcf (7; 2 × 3^2) = 1;
Fraction: 13/36 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
13 is a prime number;
36 = 2^2 × 3^2;
gcf (13; 2^2 × 3^2) = 1;
Reduce (simplify) fractions to their simplest form, online calculator
Which of these is a ratio table?
A
1
2.
3
o ono
WON
B.
5
6
7
A
1
2
3
chAUD
B
4
5
7
WN
B
A
1
2
3
COA
4
9
А
1
2
3
B
2.
4
6
ANUD
INI
Answer:
The last one
Step-by-step explanation:
A ratio table means that each number in the first column is multiplied by the same number to get the answer in the 2nd column
Can someone help me answer please
Answer:
i dont know sry
Step-by-step explanation:
Why does a rectangle with different side lengths have only 2 lines of symmetry?
A.
all four angles are congruent, and all four sides are congruent
B.
all four angles are congruent, and opposite sides are congruent for a horizontal and diagonal line of reflection
C.
all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection
D.
all four angles are congruent, and opposite sides are congruent for two diagonal lines of reflection that cut through different angles
Answer:
C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection
Step-by-step explanation:
A. isn't correct because all four sides aren't congruent, only the pair of opposite sides are congruent. Sense only opposite side are congruent you can only reflect the opposite sides onto each other and not diagonally meaning B. and D. are incorrect leaving C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection as the correct answer
I need help understanding this
Step-by-step explanation:
I am sorry but I cannot see your question
Determine if the two lines are parallel. Explain your answer for brainliest.
3x+4y=8
-12x-9y=27
Below!
Explanation:The lines are not parallel because the slope is not the same for both equations. If a slope is the same with different y-intercepts, the two line will eventually be parallel. However, if a line has same slope and y-intercept, then there will be infinite solutions to the equation.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Which of the following sequences below is a Geometric Sequence?
Select one:
a. -8, -3, 2, 7, ....
b. 1, 3, 9, 27, ....
c. 8, 4, 0, -4, ...
d. 2, 4, 6, 8, ...
B. 1, 3, 9, 27
Geometric Sequence is being multiplied by factor of 3.
Which sizes can he display? Choose all that apply.
linch
4
0.5 inch
3 inch
8
1 inch
1.5 inch
Step-by-step explanation:
He can choose the dispay boxes that are 0.5 in, 1/4 in, and 3/8 in
Hope this helps
May I get braineist pls?
3.
Which two expressions can be used to find the value of (36)(24)?
A (30-6)(30 - 6)
(30 + 6)(30 - 6)
C 30²- 6²
B
D302 - 360 +62
-
E 30² +62
Answer:
962
Step-by-step explanation: 30²- 6² is 962
Round 4.645 to the nearest whole number! Please explain step by step to get marked
Step-by-step explanation:
to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.
4.645 rounded to the nearest whole number = 5
been trying to solve this, need help
Given :-
The given triangle is isosceles triangle.Length of one side is 4 .To Find :-
The value of x in simplest radical form.Solution :-
The given triangle is a right isosceles triangle . So here we can use the Pythagoras theorem as ,
[tex]\longrightarrow[/tex] hypotenuse² = perpendicular ² + base²
[tex]\longrightarrow[/tex] x² = 4² + 4²
[tex]\longrightarrow[/tex] x² = 16 + 16
[tex]\longrightarrow[/tex] x² = 32
[tex]\longrightarrow[/tex] x = √32
[tex]\longrightarrow[/tex] x = √2⁵
[tex]\longrightarrow[/tex] x = 4 × 1.732
[tex]\longrightarrow[/tex] x = 6.928 ≈ 7
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $70. For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $2050. What was the price of each kind of ticket?
Answer:
You can use the method of substitution.
Let the advance and same-day tickets be x and y respectively.
x + y = $70 ---> (1)
25x + 35y = $2050 ---> (2)
From Statement (1):
Let (1) × 25
25x + 25y = $1750
10y = $2050 - $1750
= $300
y = $300 ÷ 10
= $30 ---> (3)
From Statement (3):
Substitute (3) into (1)
x + $30 = $70
x = $70 - $30
= $40
Advance ticket: $40
Same-day ticket: $30
•(5,25) •(4,16) •(3,9) •(2,4) •(1,1) The sequence is arithmetic because the terms have a common difference.
The sequence is arithmetic because the terms do not have a common difference.
The sequence is not arithmetic because the terms have a common difference.
The sequence is not arithmetic because the terms do not have a common difference.
Answer:
3. The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation:
These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:
1, 4, 9, 16, 25
The 3 answers are:
The sequence is arithmetic because the terms do not have a common difference.The sequence is not arithmetic because the terms have a common difference.The sequence is not arithmetic because the terms do not have a common difference.First, look at the difference between each of the terms.
[tex]4-1=3\\9-4=5\\16-9=7[/tex]
Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.
Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.
Which expression is a sum of cubes?
0-24a15 +125018
-64a27 +08
O
- 3x + 6
81X4+ + By
8y40
This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)
Answer: C
Step-by-step explanation:
1. The length of each side of a square increased by 40%. By what percent does the area of the square increase?
2. The length of a rectangle increases by 20%, and the width decreases by 20%. What is the overall percent change in the area of the rectangle?
(they are two separate questions)
Answer: to number 1 :The area of the square increases by 96% to number 2: increase in width = 50%
Step-by-step explanation
If a plane travels 900kms in 3 hours what is its rate of speed expressed as a unit rate
Answer:
300kms
Step-by-step explanation:
900÷300 is 300. so then i think it would be 300kms
can someone please help me
Answer:
The mode is 31
good luck naka
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Beatrice watched two films at the theatre. The first she watched was 2 1/6 hours long and the second film was 1 5/6 hours long . Calculate the total length of the two films
Answer:
4 Hours
Step-by-step explanation:
2 1/6 = 13/6
1 5/6 = 11/6
13/6+11/6= 24/6
Simplify 24/6 which will give you 4
For the point P(-25,10) and Q,(-18,15) find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.
Step-by-step explanation:
I really hope that that will be helpful to you
One side of a square garden is 8 feet long. How can you find the area of That is the
the garden?
Answer:
64 ft
Step-by-step explanation:
A square has to be equal on all 4 sides for it to be considered a square. Considering that it is 8 feet on one side it would be 8 feet on all the others as well. From there you multiply 8*8 and receive the solution of 84 feet for the area of the garden.
An open-top box is to be constructed from a sheet of tin that measures 36 inches by 20 inches by cutting out squares from each corner as shown and then folding up the sides. Let V(x) denote the volume of the resulting box.
Answer:
[tex]V(x)=4x^3-112x^2+720x[/tex]
Step-by-step explanation:
[tex](36-2x)(20-2x)x[/tex]
[tex](720-72x-40x+4x^2)x[/tex]
[tex](4x^2-112x+720)x[/tex]
[tex]4x^3-112x^2+720x[/tex]
Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]
This 3 by 3 grid shows nine 1 cm x 1cm squares and uses 24 cm of wire.
What length of wire is required for a similar 20 by 20 grid?
A 400 cm B 420 cm C 441 cm D 800 cm E 840 cm
Answer:
E 840 cm
Step-by-step explanation:
For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...
(20 cm)(2 × 21) = 840 cm
_____
Additional comment
In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.
In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).