50 POINTS! false answers will be reported and u wont get points
Can a solution to this equation be 3, because then both sides would have divide by 0?
Answers
Answer:
Step-by-step explanation:
If we multiply x - 7 by x - 3, we get x^2 - 10x + 21. This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3). Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.
Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.
Similarly, we get 5(x - 7) over x^2 - 10x + 21.
Now all three of the original fractions have the same denominator, x^2 - 10x + 21. We can now "drop" the LCD, which leaves us with:
x^2 - 29 = 6(x - 3) + 5(x - 7)
Performing the indicated multiplications, we get:
x^2 - 29 = 6x - 18 + 5x - 35. Combining like terms:
x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0
This factors as follows: x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0
Then the preliminary solutions are x = 3 and x = 8. Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero. The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.
Repeat: 3 cannot be a solution because the 3rd fraction is undefined at
x = 3. So we have only one valid solution (8) with no other solution to multiply by 8.
Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.
Related Questions
Given the following equation answer each question below.
Is the following a growth or decay?
What is the domain?
What is the range?
What is the y-intercept? (enter answer as a point)
What is the asymptote? (enter answer as an equation)
Answers
Answer:
f(x)=
Step-by-step explanation:
On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
Answers
Answer:
Step-by-step explanation:
Slope of line passing through (0, 3) and (3, -1) = (-1-3)/(3-0) = -4/3
Slope of any parallel to the line is also -4/3.
Point-slope equation for line of slope -4/3 that passes through (-3, 2):
y-2 = (-4/3)(x+3)
what is the volume of this composite solid?
A. 156 cubic meters
B. 86 cubic meters
C. 136 cubic meters
D. 84 cubic meters
Answers
Answer:86
Step-by-step explanation:I did some math it’s 86 or 156 but I’m pretty sure it’s 86
If the value of a hockey card decays at a rate of 50% per year, it will eventually be with exactly $0.
True or False?
Answers
Answer:
True.
Step-by-step explanation:
Explanation:
Sarah can spend at most $9.00 on oranges and almonds. She buys a bag of oranges for $3.50. At most, how much can Sarah spend on almonds?
Answers
Subtract the cost of the oranges from what she can spend:
9.00 - 3.50 = 5.50
At most she can spend $5.50
Find the slope of the line
Answers
Answer:
Your answe is 1
Step-by-step explanation:
Formula : y2-y1/x2-x1
the slope is 1
Item 11 Which points divide overline AB into segments with lengths in the ratios 1:3 or 3:1?
Answers
Answer:
(9, 2)
Step-by-step explanation:
What point divides the directed line segment AB¯¯¯¯¯ into a 3:1 ratio?
coordinate plane with segment A B with A at (0, 2) and B at (12, 2)
(3, 2)
(4, 2)
(8, 2)
(9, 2)
Solution:
If point O(x, y) divides the line segment AB with endpoints A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio n:m, the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Let us assume C(x, y) is the point that divides segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:
[tex]x=\frac{3}{3+1}(12-0)+0=\frac{3}{4}(12)=9 \\\\y=\frac{3}{3+1}(2-2)+2=\frac{3}{4}(0)+2=2[/tex]
Therefore the coordinate of point C is at (9, 2).
Write the expression without the fraction bar.
Answers
pls help me
A movie theater sells snacks to 30% of its customers each day. On Saturday, 186 customers bought snacks. How many customers went to the theater on Saturday?
A. 242
B. 520
C. 558
D. 620
Answers
Answer:
it would be A
Step-by-step explanation:
hopefully it helped
Find the greatest common factor of 30, 70, and 20.
Answers
Answer:
10
Step-by-step explanation:
10 goes into 30, 70, and 20.
Which expressions are equivalent to the given expression?
Answers
Answer:
(a). and (b).
Step-by-step explanation:
Simplify Square Roots -
Find one perfect square and one imperfect square to multiply to the square root.
[tex] \sqrt{4 \times 10} = 2 \sqrt{10} [/tex]
[tex]40^{ \frac{1}{2} } = \sqrt[2]{(40) ^{1} } = \sqrt{40} [/tex]
[tex] \sqrt{40} \neq 4 \sqrt{10} [/tex]
[tex]160 ^{ \frac{1}{2} } = \sqrt[2]{160 ^{1} } = \sqrt{160} \neq \: \sqrt{40} [/tex]
[tex]5 \sqrt{8} \neq \: \sqrt{40} [/tex]
help me please! I’ll give y’all points
Answers
Answer:
11
Step-by-step explanation:
Answer:
Y = 11
Step-by-step explanation:
I think we are using the order of PEMDAS. We replace the x with 3. If we simplify this expression this is just 3 to the power of 2 multiplied by 2 then subtracted by 7. So 3^2 = 9 then 9 x 2 = 18. Then 18 minus 7 = 11.
Area and radius!! VUGGFYFYTFTYFYTFTYCYTCYTFYT
Answers
Answer:
1. (-2, 3) 7
2. (5, 8) 5
3. (-6, 1/2) 2/3
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2 where the center is at point (h, k) and the r is the radius. Find the values that would fit the numbers in parenthesis to find the center of the circle, and take the squareroot of the number on the right side of the equation to find the radius.
lmk if im wrong, hope this helps!
PLease help!!! I'll give brainliest and the rest!
Answers
Answer:
I would say 21 because if you did the equation right the answer for be is 18. It could round to 17, 19, 20 but not 21.
Step-by-step explanation:
Hope this helps.
PLS I NEED RELLAY NEED HELP RIGHT NOW
Answers
Answer:
40%
Step-by-step explanation:
[tex]\frac{8}{20} = \frac{2}{5}[/tex]
[tex]\frac{2}{5} = 0.40[/tex]
0.40 = 40%
a silo is a building shaped like a cylinder used to store grain the diameter of a particular silo is 6.5 meters and the height of the silo is 12 meters
Answers
Answer:
V=pi(3.25)^2(12)
Step-by-step explanation:
The “pi” is an actual sign
Select the ratios that are equivalent to 11:1.
Choose 3 answers:
A-1:11
B-22:2
C-55:5
D-9:99
E-110:10
Answers
Answer:
i think the answer is B . 22::2
a rectangular container, 12 cm long and 10 cm wide, is filled with water to a depth of 5 cm. find the volume of water in the container.
Plz i need help ASAP!!!!
Thank you!
Answers
Answer:
600 cm³
Step-by-step explanation:
12 x 10 = 120
120 x 5 = 600
I need help on this please
Answers
Graph triangle DEF with vertices D(-5,2), E(1,3), and
F(-4,-3). Then graph the image of the triangle after it
is translated 4 units right and 3 units down.
What are the vertices of triangle D'E'F?
Answers
Answer:
i think
E'(5,0)
D'(-1,-1)
F'(0,6)
Audrey bought one pound of strawberries for $3.20. What is the price, in dollars per ounce of strawberries?
Answers
Answer: $0.20
Step-by-step explanation:
There are 16 ounces in 1 pound, so divide $3.20 by 16 to get the price of dollars/ounce
3.20/16 = $0.20/ounce
Answer:
$0.20 or 20 cents
Step-by-step explanation:
We know she pays $3.20 per pound, and that there are 16 ounces in a pound, so we can just divide to figure it out.
3.20 / 16 = 0.20
We can check our answer by doing the inverse of operations (multiplying)
16 x 0.20 = 3.20
So, she the price for an ounce of strawberries is $0.20 (20 cents). I hope this helps :)
If a box of 100 pencils
costs $4.25, what
would you expect to
pay for 224 pencils?
Answers
Answer:
$9.52
Step-by-step explanation:
4.25 divided by 100 gets you 0.0425 then multiply that number by 224
A recipe for banana bread calls for 4 bananas for every 8 cups of sugar. What is the ratio of bananas to cups of sugar
Answers
Answer:
1:2 is the ratio
Step-by-step explanation:
Please help!!!!!!! I need it fast
Answers
Answer:
i believe that the answer is C 19cm
Answer:
I think A
Step-by-step explanation:
the circle is 6 cm and the circumference(the distance between the thing) is 9 cm
Evaluate the expression 4+x3. When x is 3.
a. 12
b. 36
c. 31
d. 49
??
Answers
Answer:
a
Step-by-step explanation:
question should show! if it doesn't let me know
Answers
Answer:
there are 6 faces
Step-by-step explanation:
there are 4 faces around and 1 on to and 1 on the bottom
Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team: Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point P is 1.5 units to the left and 3 units down. From the origin, Q is 1.5 units to the left and 3 units up Which statement best describes the relationship between the positions of the two midfield players?
Answers
Answer:
yaaaaas i think it is c
Step-by-step explanation:
Answer:
Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.
Step-by-step explanation:
Hope this helped :)
HELP PLZZZZ!!!!!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
which angle is complementary to ∠4?
Answers
120 < 12k + 29 need help plz answer for 15 points
Answers
Answer:
k>91/12
Step-by-step explanation:
120<12k+29
12k>120-29
12k>91
k>91/12