Answers
9514 1404 393
Answer:
C
Step-by-step explanation:
When you cross multiply by denominator expressions that share a zero, you are effectively making that zero a solution of the resulting equation. That zero cannot be part of the domain of the original equation, and so must be an extraneous solution.
This condition is seen in choice C.
[tex]\dfrac{8}{x^2-9}=\dfrac{5}{2x-6}\qquad\text{original equation. $x\ne3$}\\\\8(2x-6)=5(x^2-9)\qquad\text{result of cross multiplying}\\\\16(x -3)=5(x+3)(x-3)\qquad\text{factored form}[/tex]
The solutions to this equation are x=1/5 and x=3. Of these, x=3 is extraneous.
__
A better solution method is multiplying by the least common denominator:
[tex]2(8)=5(x+3)\qquad\text{result of multiplying by $2(x^2-9)$}[/tex]
Related Questions
if cos A=0.6, find the value of 5 sin A - 3 tan A
Answers
Answer:
0
Step-by-step explanation:
hopefully the picture is visible and understandable.
:)
I need help with this
Answers
Answer:
o.1
is the answer
ok
goodyck3
(a)/(2a)+(4)/(3a^(2)) ayuda por favor
Answers
Answer:
3a^2+8/6a^2
Step-by-step explanation:
there ya go hope this helps
PLEASE HELP I WILL MARK YOU BRAINIEST PLEASE
At their last babysitting gig, Zainab made $44 for 8 hours of work and Keziah made $47.25 in 9 hours. Each girl charges a different hourly rate. For a 10 hour job, which girl will make more money? How much more?
Answers
Answers:
Zainab made more moneyShe made $2.50 more=======================================================
Explanation:
To find the hourly rate, we divide the money made over the number of hours.
Zainab's hourly rate = 44/8 = $5.50 per hourKeziah's hourly rate = 47.25/9 = $5.25 per hourThen we'll multiply each of these results by 10 to figure out how much they made over the 10 hours
Zainab: 5.50*10 = 55 dollarsKeziah: 5.25*10 = 52.50 dollarsWe see that Zainab made more money and she made 55-52.5 = 2.50 dollars more.
Point F is on line segment EG. Given FG = 3x – 5, EF = x, and
EG = 5x – 8, determine the numerical length of FG.
Answers
A line segment can have one or more points on it. The numerical length of FG is 4
Given that:
[tex]FG = 3x - 5[/tex]
[tex]EF = x[/tex]
[tex]EG = 5x - 8[/tex]
Because point F is on EG, then:
[tex]EG = EF + FG[/tex]
So, we have:
[tex]5x - 8 = x + 3x - 5[/tex]
[tex]5x - 8 = 4x - 5[/tex]
Collect like terms
[tex]5x - 4x = 8 - 5[/tex]
[tex]x =3[/tex]
Recall that:
[tex]FG = 3x - 5[/tex]
Substitute [tex]x =3[/tex]
[tex]FG = 3 \times 3 - 5[/tex]
[tex]FG = 9 - 5[/tex]
[tex]FG = 4[/tex]
Hence, the numerical length of FG is 4
Read more about line segments at:
https://brainly.com/question/1534220
Please send explanation
The answer is 15cm squared.
Answers
Step-by-step explanation:
x = the area in black
each triangle have area = 80
the area of the 3 triangles without combining them = 80 × 3 = 240
the total area = 210
the total area in the figure = 3 triangles area - 2x
because we have calculated 1 black area not the three of them so we need to add its area once and get rid of the others by subtracting them from the sum of the 3 triangles area
240 - 2x = 210
2x = 30
x = 15
hope that helps
2x=30
x=15
Please Help Me
Which equation is an identity?
A. (9x/15) + 27 = (9x/15) + (27/15)
B. 3((x/2) + 16) - 16 = (3/2)x
C. -4(3 - 2x) = -12 - 8x
D. -5((x/15) - 16) - 30 = 50 - (1/3)x
E. 36((3/4)x- 2) + 72 =-72 + 27x
Answers
Answer:
C.
Step-by-step explanation:
An equation is an identity if the equation is always true regardless of what value you replace 'x' with.
This means we need to simplify the equations above to see which one will be true for any value of 'x'.
After simplifying equation C, we get -12-8x = -12-8x. Since both sides of the equation are the same, this equation will be true regardless of what value replaces x so this equation is an identity.
Find the missing angle and x
Answers
the correct answer of this question is 32 I mean the value of X is 32
Create a word problem using 30+2d as the answer
Answers
Answer:
Sonya pays a flat fee of $30 for her phone bill and pays $2 per gigabyte she uses per month. Put Sonya's bill as an equation with d being how many gigabytes she uses per month.
Step-by-step explanation:
We get the flat fee of $30 from "30 + 2d" and the $2 per gigabyte from "30 + 2d" and since we want to find out Sonya's total bill, that's where the + in "30 + 2d" comes from. We want the variable to be d therefore d is how many gigabytes she uses per month.
what is the perimeter of the larger rectangle?
Answers
Answer:
30 meters
Step-by-step explanation:
Perimeter smaller rectangle: 2(x+1)+2x = 2x+2+2x
= 4x+2
Perimeter larger rectangle: 2(4x-5)+2(3x-1) = 8x-10+6x-2
= 14x -12
2(4x+2)+2 = 14x-12
8x+4+2 = 14x - 12
8x + 6 = 14x - 12
6 + 12 = 14x - 8x
18 = 6x
x = 3
14*3-12 = 30 meters
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = =x
h(x) = ÷x
Answers
Answer:
[tex]h(x) = \frac{1}{4} x[/tex]
Step-by-step explanation:
[tex]f(x) = 4x[/tex]
[tex]y = 4x[/tex]
[tex]x = 4y[/tex]
[tex]4y = x[/tex]
[tex]y = \frac{1}{4} x[/tex]
[tex]\boxed{\green{h(x) = \frac{1}{4} x}}[/tex]
800 divided by 39 please show steps
Answers
Answer:
20.51282
Step-by-step explanation:
1. Starting by the smallest number that can be divided. 80÷39 equals to 2.
2. Now we write 2 in the answer line.
3. Multiply the result by 39. That makes us 78.
4. Now we write 78 under 800.
5. Subtract the numbers (80-78) and now we have 2.
6. Bring 0 next to our substracted number (2) so that will make it 20.
7. Divide the subtracted number with our initial value (39). That will make us a decimal number (0.512) but we will note the 0 except if you want to make it detailed then note 20.51282
8. Add the 0 next to the 2 that we writed in the start above.
9. Write the remainder (20) next to the quotient.
10. The result is 20 or to be exact 20.51282 and we have a remainder of 20.
PLEASE HELP ASAP!!!
How do you know where to place the decimal point in the quotent when dividing a decimal by a whole number?
Answers
evaluate the expression when y=17 and z=7.
[tex] \frac{y + z {}^{2} }{y - 2z} [/tex]
HELP PLEASEEEEE!!!!!
Answers
17+7^2=66
17-2(7)=3 and you would divide 66 by 3
SCALE
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm3 and a surface area of 1024 cm2.
The smaller container has a volume of 1458 cm3.
Calculate the surface area of the smaller container.
Answers
Answer:
1458/3456 = 27/64 (simplification)
cube root of 27/64 = 3/4
square of 3/4 = 9/16
9/16 multplied by 1024 = 576.
3x^14 y^11 / 18x^2
please help and explain, thanks so much.
Answers
Answer:
x¹²y¹¹/6
Step-by-step explanation:
cancel 18 by 3,then minus the x¹⁴ to the 18²
but you don't have to do something on y¹¹
what is the value of 7(10-2^3)+8/2
Answers
Answer:
18
Step-by-step explanation:
Answer:
7(10−[tex]2^{3}[/tex])+ [tex]\frac{8}{2}[/tex]
=18
Step-by-step explanation:
7(10−[tex]2^{3}[/tex])+[tex]\frac{8}{2}[/tex]
=7(10−8)+ [tex]\frac{8}{2}[/tex]
=(7)(2)+[tex]\frac{8}{2}[/tex]
=14+[tex]\frac{8}{2}[/tex]
=14+4
=18
plz help to solve it
Answers
Step-by-step explanation:
X^(a²-b²+c²-a²+b²-c²) / X^(c(a-b)+b(c-a)+a(b-c))
= X^(0) / X^(ac-bc+bc-ab+ab-ac)
= X^0 / X^0
=1 / 1
= 1
Answer:
1Step-by-step explanation:
[tex](\frac{x^{a+b}}{x^c})^{a-b}*(\frac{x^{c+a}}{x^b})^{c-a}*(\frac{x^{b+c}}{x^a})^{b-c} =[/tex][tex]\frac{x^{a^2-b^2}}{x^{c(a-b)}}*\frac{x^{c^2-a^2}}{x^{b(c-a)}}*\frac{x^{b^2-c^2}}{x^{a(b-c)}} =[/tex][tex]\frac{x^{a^2-b^2+c^2-a^2+b^2-c^2}}{x^{c(a-b)+b(c-a)+a(b-c)}} =[/tex][tex]\frac{x^0}{x^0} =[/tex]1Find the area of the circle with the following dimension
Radius=7in
Round to the nearest tenth as needed
Answers
(A equals one hundred fifty three point nine four inches squared)
PLEASE HELP ME TGHIS IS DUE TODAY :( IM SCARED IF ITS WRONG
the question is in the diagram below DE is parallel to XY what is the value of X ?
Answers
Hey there! Here is your answer:
The answer is 65° because 115° and another number has to add up to 180°
The sales tax in Mansfield is 8.25% on anything purchased. What is the percent of the original price you will pay? Write your answer as a percent, decimal, and fraction.)
Answers
In your example, it’s the same, except you have 8.25% tax, so you’d pay 100%+8,25% or 108.25% of the original price.
That’s stated as a percent.
To convert a percent to a decimal, you divide by 100:
108.25 ÷ 100 = 1.0825
To convert a decimal to a fraction, you have to know the place value of the smallest place. In this case, the 5 is in the ten thousandths place.
10825/10000
You can always double check that fraction on a calculator.
Is the point (2.3) a solution for the inequality y<2x+10 ?
Yes
No
Answers
Answer:
Yes it is
Step-by-step explanation:
Anyone know answer to this
Answers
The answer is 1
Step-by-step explanation:
look at the line going up and down
Answer: 1
Step-by-step explanation:
Multiply the polynomials: (x + 3)(x2 – 5x + 12)
Answers
Answer:
x³ - 2x² - 3x + 36
Step-by-step explanation:
(x + 3)(x² - 5x + 12)
Each term in the second factor is multiplied by each term in the first factor , that is
x(x² - 5x + 12) + 3(x² - 5x + 12) ← distribute parenthesis
= x³ - 5x² + 12x + 3x² - 15x + 36 ← collect like terms
= x³ - 2x² - 3x + 36
19 - (2⁴ + 3) Please help me
Answers
Answer:
your answer would be zero,nothing,0.
Step-by-step explanation:
Answer:
I THINK ITS 0....
Step-by-step explanation:
Simplify: 3y^3 • y^2
Answers
Answer:
3y5
Step-by-step explanation:
how do you convert a repeating decimal in the 10000 place into a fraction?
Answers
Decimal to Fraction
Converting any terminating decimal into a fraction is fairly straightforward. You count the number of decimal places, move the decimal point that number of places to the right, and put the resulting number over "1" followed by that number of zeroes.
For instance:
Convert the decimal 0.7 into a fraction.
This decimal has one decimal place, so I move the decimal point one place to the right, to get 7. Then I put this over "1" followed by one zero (otherwise known as "10") to get: 7/10
Step-by-step explanation:
HELP DUE IN 7 MINS!
Solve for x:
6x + 4 = 9x - 5
Answers
Answer: 3
Step-by-step explanation:
6x + 4 = 9x - 5
6x - 9x = -5 - 4
-3x = -9
x = 3
[tex]\\ \sf\longmapsto 6x+4=9x-5[/tex]
[tex]\\ \sf\longmapsto 9x-6x=4+5[/tex]
[tex]\\ \sf\longmapsto 3x=9[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{9}{3}[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
HELP DUE IN 10 MINUTES!!
Solve for x.
-2(-3x + 4)+ 3x - 3 = - 29
Answers
Answer:
x = -2
Step-by-step explanation:
6x - 8 + 3x -3 = -29
9x = - 18
x = -2
I'm confused on this one
4x − 8 = 12
4x − 8 + 8 = 12 + 8
4x = 20
4
4
x =
20
4
x =
how do i do it step for step
Answers
Answer:
5
Step-by-step explanation:
4x-8=12
4x=12+8
4x=20
x=20/4
=5
Step-by-step explanation:
4x-8=12
4x-8+8=12+8
4x=20
4x÷4=20÷4
x=5
