Answers
Answer:
A. x = 6.08, x = -0.58
Step-by-step explanation:
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}[/tex]1. Factor the denominator.
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.
[tex]\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]3. Simplify.
[tex]\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]4. Combine like terms.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}[/tex]5. Multiply the right side of the equation by (x-4)/(x-4).
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )[/tex]6. Simplify.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}[/tex]7. "Cancel" out the denominators because they are equivalent.
[tex]2x^2-14x+5=-3x+12[/tex]8. Set the equation equal to 0.
[tex]2x^2-11x-7=0[/tex]Quadratic formula:
[tex]\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]9. Factor using the quadratic formula.
[tex]\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}[/tex]10. Multiply and simplify.
[tex]\displaystyle x = \frac{11 \pm \sqrt{177} }{4}[/tex]11. Plug this into your calculator and solve for x.
[tex]x=6.07603367 \approx 6.08[/tex] [tex]x=-0.57603367 \approx -0.58[/tex]The correct answer is A. x = 6.08, x = -0.58.
Related Questions
Explain why square root of -2 is equal to i square root 2
Answers
Answer:
Because square roots aren't really negative. if you multiplied square roots by themselves they can equal positive and negative
Step-by-step explanation:
sum of the fractions as a mixed numbers
2 5/6 + 4 3/6 =
Answers
A book sold 31,600 copies in its first moth of release. Suppose the represents. 6.6% of the number of copies sold to date. How many copies have been sold to round your answer to the nearest whole number.
Answers
Answer:
Step-by-step explanation: dont know
Jane was playing a game with her sister, Sally. Jane was down by 7. After her next turn, she was down by 3. Which of the following mathematical statements represents this scenario?
A. - 7 + -3 = -10
B.
- 7 + 3 = - 4
C. - 7+ 4 = - 3
D. - 7 + - 4 = - 11
Answers
Answer:
A. -7 + -3 = -10
Step-by-step explanation:
Jane went down by 7, so -7. Then, she went down by 3, so -7 + -3.
-7 + -3 = -10
Hope this helped! <)
(Sorry if this is wrong!)
A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
Answers
Step-by-step explanation:
(3.1415 * 10^2) area of base
(17) height
volume = area of base * height
volume = 3.1415 * 10^2 * 17
The volume of the cylinder is 533.8 cubic inches to the nearest tenths place
Volume of Cylinder based problem:What information do we have?
Diameter of cylinder = 20 inch
Height of cylinder = 17 inch
Volume of Cylinder = πr²h
Volume of Cylinder = (3.14)(20/2)²(17)
Volume of Cylinder = (3.14)(10)(17)
Find out more information about 'Cylinder'.
https://brainly.com/question/3216899?referrer=searchResults
A flagpole and a model flag pole have a scale factor of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?
Answers
Answer:
[tex]48\ \text{feet}[/tex]
Step-by-step explanation:
[tex]1\ \text{inch}[/tex] of the model is [tex]4\ \text{feet}[/tex] of the actual pole.
Here, the pole which is present in the model measures [tex]12\ \text{inches}[/tex], so
[tex]12\ \text{inches}[/tex] of the model will be [tex](12\times 4)\ \text{feet}=48\ \text{feet}[/tex]
Hence, the actual pole will be [tex]\boldsymbol{48\ \text{feet}}[/tex] tall.
1. What is the Greatest Common Factor of 8 and 36? (1 point)
-2
-4
-6
-8
Answers
Answer:
4 is the answer no hate if I'm wrong :)
Answer
GCF of 8 and 36 is 8
CORRECT ANSWER Is 4 SORRY FOR THE MESS UP
Y = 4( x + 2)^2 - 8
Convert the equation from vertex form to standard form.
Answers
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Simplify.
4(u-2) - 6
Answers
Answer:
The answer is 4u-14.
Have a great rest of your day!
Answer:
4(u-2) - 6
separate bracket
4u-8-6
4u-14
Use the distributive property to write the expression as a product
10+70x
Answers
Answer:
[tex]10(1+7x)[/tex]
Step-by-step explanation:
Just factored out the 10.
If (a+b)(a-b)=21,a+b=7 and a-b=3 what Is the value of a
Answers
9514 1404 393
Answer:
5
Step-by-step explanation:
Add the latter two equations and you get ...
(a +b) +(a -b) = (7) +(3)
2a = 10 . . . . . . . . . . . . . . . simplify
a = 5 . . . . . . . divide by 2
Neil tried to rewrite the expression 5^-6/5^-4
5^-6/5^-4
=
5^-6-(-4) Step 1
5^-2 Step 2
1/5^2 Step 3
Did Neil make a mistake? If so, in which step?
Answers
Answer:
0.04
is what the answer should be
Step-by-step explanation:
U is the midpoint of TV. If TU = 6x and TV = 11x + 8, what is TV?
T
6x
V
11x + 8
Simplify your answer and write it as a proper fraction, mixed number, or integer.
Answers
Answer:
96
Step-by-step explanation:
U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so
mTV = 2 * mTU
11x + 8 = 2 (6x)
11x + 8 = 12x
8 = x
mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96
**hint** Find the hypotenuse and then subtract that from the distance he actually traveled.
Answers
Answer:
10 miles
Step-by-step explanation:
Help me ??????????????????
Answers
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = - 2x² - 12x - 16
To complete the square the coefficient of the x² term must be 1
Factor out - 2 from - 2x² - 12x
f(x) = - 2(x² + 6x) - 16
add/ subtract ( half the coefficient of the x- term )² to x² + 6x
f(x) = - 2(x² + 2(3)x + 9 - 9 ) - 16
= - 2(x + 3)² + 18 - 16
= - 2(x + 3)² + 2 ; y = 2
Find the length of side BC.
Give your answer to 1 decimal place.
C
14 cm
580
A A
B
Answers
Be=14sin58
Nvm=14 times 0.8480
Bc=11.9 cm
Find the inequality represented by the graph.
Answers
Answer:
y > 1/3 x - 3
Step-by-step explanation:
First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).
Find the change of y over the change of x to get the slope of the line.
(-2 - (-3))/(3 - 0) = 1/3
Since the line intercepts the y axis at (0, -3), the equation of the line would be
y = 1/3x - 3
We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents
y > 1/3 x - 3
How do you add fractions and whole numbers together? For example 1/4+2
Answers
Answer:
2.25 or 2 1/4
Step-by-step explanation:
Easy. you add them like regular numbers. 1/4 + 2 = 0.25 + 2 =2.25 and/or 2 1/4
49 ÷ 7 =
6 × 6 =
38 - 21 =
99 - 63 =
43 + 54 =
55 ÷ 5 =
87 - 44 =
94 - 63 =
144 ÷ 12 =
56 - 24 =
65 - 23 =
27 ÷ 3 =
47 + 31 =
52 + 46 =
70 ÷ 7 =
72 ÷ 9 =
98 - 22 =
42 + 17 =
64 ÷ 8 =
42 + 33 =
Answers
Answer:
use pemdas
Step-by-step explanation:
Answer:
7
32
17
36
97
11
43
31
12
32
42
9
78
98
10
8
76
59
8
75
Step-by-step explanation:
going straight down from the top
Subject:Mathematics
Answers
Answer:
x=28°
Step-by-step explanation:
2x+3x-10+50=180
5x+40=180
5x=180-40
5x=140
x=140/5
x=28°
The angle measure of a triangle are shown in the diagram.
What is the value of x?
Answer :value of x is 28°Explanation :Given :∠A = 50°∠B = (2x)°∠C = (3x - 10)° To Find :Value of x = ?Solution :As, In a triangle measure of all three angles is always 180°.
[tex] \sf : \implies \angle A + \angle B + \angle C = 180\degree[/tex]
[tex] \sf : \implies 50\degree + (2x)\degree + (3x - 10)\degree = 180\degree[/tex]
[tex] \sf : \implies 50 + 2x + 3x - 10 = 180\degree[/tex]
[tex] \sf : \implies 40 + 5x = 180\degree[/tex]
[tex] \sf : \implies 5x = 180\degree - 40\degree[/tex]
[tex] \sf : \implies 5x = 140\degree[/tex]
[tex] \sf : \implies x = \cancel{\dfrac{140\degree}{5}}[/tex]
[tex] \sf : \implies x = 28\degree[/tex]
[tex] \large \underline{\boxed{\bf{x = 28\degree}}}[/tex]
Hence, value of x is 28°.
what i 5 + 5
ok
ok
ko
Answers
Answer:
haha The answer is 10!(::
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
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Evaluate the expression x
x(2 – 5y)²
when x= = -5 and y=-3.
Answers
[tex]\displaystyle -5(2-5(-3))^2=-5(17)^2=-1445[/tex]
calebs gross income last year was $39,000. he deducted $1,200 for charitable donations and tax-free interest payments and was taxed $2,200. what was his tax rate?
a. 19%
b. 12.6%
c. 28.8%
d. 5.8%
Answers
Answer:
28.8
Step-by-step explanation:
the power of G00GLE
Solve the equation z3−z2−12z=0.
The solutions are z=
, z=
, and z=
.
.
Answers
i need help on number 1
Answers
Solve the system using elimination. 3 x plus 3 y equals 27. x minus 3 y equals negative 11.
Answers
Answer:
- 5/4
Step-by-step explanation:
Answer:
x=4 and y=5 commonly notated as (4,5)
Step-by-step explanation:
The equations
Equation 1: 3x+3y=27
Equation 2: x-3y= -11
The second equation looks like it will be the easiest to rearrange.
x-3y = -11
add 3y to each side to get
x = 3y-11
Substitute that in for x in equation 1 so
3x+3y=27
turns into
3(3y-11) +3y =27
multiply out to get
9y-33+3y =27
Condense variables
12y-33=27
add 33 to each side
12y= 60
Divide by 12
y = 5
Plug into one of the original equations (I will be doing both to show it doesn't matter what equation you use, but you only need to use one equation, I personally think it is easier to plug into the second equation)
Equation 1: 3x+3y=27
Plug in what we got for y
3x+3(5)=27
multiply
3x+15=27
subtract 15 from each side
3x=12
divide by 3
x=4
Equation 2: x-3y = -11
Plug in what we got for y
x-3(5) =-11
Multiply
x-15= -11
Add 15 to each side
x=4
Who can help me on my math I’m failing can y’all please help me on some questions.
It’s solving systems of equations
Answers
Answer:
7 quarters, 8 nickels
Step-by-step explanation:
So the system of equations you have is:
x + y = 15
0.25x + 0.05y = 2.15
Here's how to solve:
first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:
25x + 5y = 215
Then, you can divide both sides by 5 to simplify it more:
5x + y = 43
Now, you have the system of equations:
5x + y = 43
x + y = 15
Now subtract the two equations:
4x = 28
divide both sides by 4
x = 7
plug x = 7 into the equation x + y = 15 to solve for y:
7 + y = 15
subtract 7 from both sides
y = 8
So you know that there are 7 quarters and 8 nickels.
Answer:
John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *
P(x)=x4-52+9x+8 Hallar p(-3)
Answers
Answer:
P(x)=x⁴+9x-44
Step-by-step explanation:
Help me and please be sure of ur answer.
Answers
Answer:
1. Evan
2. Stacey
Step-by-step explanation:
How long is `50\%` of a 24 hour day
Answers
Answer:
12 hours
Step-by-step explanation:
50/100 x 24 = 12
Answer:
it would be 12 hours.
Step-by-step explanation:
24/2=12