please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression
Answers
Answer:
[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]
Step-by-step explanation:
To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:
[tex]\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}[/tex]
We can use the distributive property to simplify:
[tex]\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}[/tex]
The sum of the two is:
[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]
Related Questions
Help me for 100 points yessir thanks you
Answers
Answer:
12.) On opening night, a play sold 3,492 tickets. On the second night, they sold 274 fewer tickets.
Part A: How many tickets did the play sell on the second night?
Part B: How many tickets did they sell on both nights combined?
Answers
Answer:
Part A: 3218 tickets
Part B: 6710 tickets
Step-by-step explanation:
Part A: 3,492 - 274 = 3,218
Part B: 3492 + 3218 = 6,710
Answer:
Part A: 3218
Part B: 6710
Step-by-step explanation:
For Part A, you need to subtract 274 from 3492.
3492-274 = 3218.
They sold 3218 tickets on the second night.
For Part B, you need to add the number of tickets they sold on opening night AND the second night.
3492+3218= 6710.
They sold 6710 tickets in total.
Which function is graphed below?
Answers
Answer:
f(x) = cos(x)
Step-by-step explanation:
In a cos wave, y value is -1 when x value is pi
A rental car company charges $54.35 per day to rent a car and $0.09 for every mile
driven. Jayden wants to rent a car, knowing that:
• He plans to drive 425 miles.
• He has at most $310 to spend.
Use the drop-down menu below to write an inequality representing d, the total
number of days Jayden can rent the car while staying within his budget.
Answers
9514 1404 393
Answer:
54.35d + 0.09×425 ≤ 320
Step-by-step explanation:
The amount Jayden will spend on rental for d days and 425 miles will be ...
54.35d + 0.09×425 ≤ 320 . . . . . the basic inequality
__
This can be simplified to ...
54.35d +38.25 ≤ 320
or ...
54.35d ≤ 281.75 . . . . . . . subtract 38.25
_____
Divide by the coefficient of d to find the solution:
d ≤ 5.184
Jayden can rent the car for 5 days while staying within his budget.
Select all the expressions equivalent to (4x⁵)(5x⁶).
Answers
Step-by-step explanation:
[tex] = 4 {x}^{5} \times 5 {x}^{6} [/tex]
[tex] = (4 \times 5) {x}^{5 + 6} [/tex]
[tex] = 20 {x}^{11} [/tex]
what is 23.5% decrease of 7,400
Answers
Answer: I think 5,814
Step-by-step explanation:
Answer:5661 is a 23.5% decrease of 7400.
Step-by-step explanation:
Initial value
7,400
Final value
5,661
Decrease
23.5%
Difference
-1,739
MARK ME BRAINLIEIST PLEASEWhat is the GCF of 5,16 and 40
Answers
Answer:
The GCF of 5,16 and 40 is = none
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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]
Hope it is useful...can someone please help me with this for brainliest!!!!
Answers
Hope this helps!
7(3x-2)+4x-10 as binomial forms
Answers
Answer:
25x-24
Step-by-step explanation:
Simplify:
21x-14+4x-10
25x-24
What is the sign of -1.69 + (-1.69)\
A. Positive
.B Negative
Or C
Answers
Answer:
B. Negative
Step-by-step explanation:
→ -1.69 + (-1.69)
→ -1.69 - 1.69
→ -3.38
So, the sign is negative.
Consider the function f whose graph is shown below
Answers
Answer:
domain - -9 <x < 7
range - -6 < y < 4
Step-by-step explanation:
Given KR < JS, complete the comparison between m∠KJR and m∠SRJ.
m∠KJR (<, =, ≥, ≤, or >) m∠SRJ
Answers
If two sides are comparatively equal or less than or greater than each other then then their opposite angles are also same in comparison .
KR<JSThere respective opposite angles are given by
<KJR<SRJSo
[tex]\\ \sf\longmapsto m <KJR<m<SRJ[/tex]
Compact florescent light bulbs save energy when compared to traditional incandescent bulbs. Our green energy campaign includes efforts to get local residents to change their incandescent bulbs to fluorescent bulbs. Initially 200 households make the change. Market studies suggest that, in the absence of limiting factors, we could increase that number by 25% each month. In our target area, there are 252,200 households, which we take as the limiting value.
Required:
Make a logistic model that gives the number of households converting to florescent bulbs after t months. (Use t as your variable. Round r to three decimal places.)
Answers
The logistic equation that models this situation is given by:
[tex]P(t) = \frac{252200}{1 + 1260e^{-0.25t}}[/tex]
The logistic equation for a population is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity.P(0) is the initial value.k is the growth rate, as a decimal.In this problem:
Total of 252,200 households, which means that this is the maximum number of households that may make the change, hence, [tex]K = 252200[/tex].Increase of 25% each month, hence, [tex]k = 0.25[/tex].Initially, 200 households made the change, hence [tex]P(0) = 200[/tex].Then:
[tex]A = \frac{252200 - 200}{200} = 1260[/tex]
[tex]P(t) = \frac{252200}{1 + 1260e^{-0.25t}}[/tex]
A similar problem is given at https://brainly.com/question/13229117
Which pair of statement is true?
15 > -9 and |-9| > |15|
Answers
Step-by-step explanation:
I see only 2 statements :
15 > 9 that is true
and
|-9| > |15| that is NOT true
because
|-9| = 9
|15| = 15
and 9 is definitely not greater than 15.
What is the slope of the green line
Answers
Answer:
-2
Step-by-step explanation:
Answer:
Y= -2
Step-by-step explanation
One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 179.3 milligrams of vitamin C. Four eight-ounce glasses of juice and three eight-ounce glasses of orange juice contain a total of 632.1 milligrams of vitamin C. How much vitamin C is in an eight ounce glass of each type of juice?
Answers
Answer:
8 ounces has = 2661.81685milligrams vitamin C in apple juice = 2.66181685 grams and 8 ounces has = 3549.60145milligrams vitamin C in orange juice =3.54960145 grams
Step-by-step explanation: 28.3495231 g = 1 ounce 28349.5231 mg = 1 ounce Therefore simultaneous equations can be done once converted What we will see is it is easier if back to ounces once you learn how to do scientific notation scientific notation convert as 1 ounce = 0.00632462mg = (6.32462 *10^-3) So if you are not confident with scientific notation you can instead convert an ounce of juice to mg and multiply by 1/8 = 28349.5231 * 1/8 = 3543.69039 a and 3543.69039 o to start a simultaneous equation 3543.69039 a + 3543.69039 o = 179.3 and 4/8 = 4 * 3543.69039 = 14174.7616o ( + 3543.69039 * 3 (of 3/8) ) =10631.0712a = 14174.7616o + 10631.0712a = 632.1 to cancel out 10631.0712a we have to make a = a or o=o Therefore 3543.69039 = o 3543.69039 * 4 will make all equal for equation 1 = 14174.7616a +14174.7616o = 179.3 *4 = 717.2 then subtract equation 2 as it is lower now 14174.7616a +14174.7616o = 179.3 *4 = 717.2 - 14174.7616a + 10631.0712o = 632.1 cancels out ( a) now to show 14174.7616o = 717.2 - 10631.0712o = 632.1 = 14174.7616 - 10631.0712= (3543.6904o = (717.2 -632.1) ) = 3543.6904o = 85.1 o = 3543.6904/85.1 o = 41.6414853milligrams and a = input for o showing original equation 14174.7616 (41.6414853) + 10631.0712a = 632.1 = 590258.127 + 10631.0712a = 632.1 = 10631.0712a = (632.1 - 590258.127) = a = -589626.027/ 10631.0712 = -55.4625226 a= - 55.6 and o =41.6 we then Check other SEQ 3543.69039 ( 41.6414853) (For apple juice (a)) + 3543.69039 o = 179.3 = 147564.531 a + 3543.69039 o = 179.3 = 3543.69039 o = 179.3 - 147564.531 (/3543.69039) = o = -41.5908882 so proves all is positive Check other SEQ 3543.69039 + 3543.69039 ( 41.6414853) = 179.3 is the same and correct to o= 41.5908882 and a =55.4625226 we just multiply these by 8 and 8 again to get 8 ounces 41.5908882 * 8 =332.727106* 8 =2661.81685 (same as (a*64) and o*8*8 = 55.4625226 * 8 =443.700181 * 8 =3549.60145 and we have our answer s vitamin C in apple juice = 2661.81685milligrams = 2.66181685 g and vitamin C in orange juice = =3549.60145milligrams = 3.54960145g
Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
If Athlete J continues at that speed, how long will it take to run one mile?
Answers
The speed of an athlete or a car or bicycle is given by the time it takes the athlete or car to complete a unit distance.
The time it would take runner J to complete 1 mile is 12 minutesReasons:
The time it takes athlete J to run 2/3 miles = 8 minutes
The time it takes athlete H to run [tex]2\frac{3}{4}[/tex] miles = [tex]\frac{1}{2}[/tex] hour
Required:
The time it would take athlete J to run one mile
Solution:
[tex]\displaystyle \frac{2}{3} \ mile \ takes \ runner \ J \ 8 \ minutes[/tex]
Therefore;
[tex]\displaystyle \frac{\frac{2}{3} \ mile}{\frac{2}{3} } \ takes \ runner \ J \ \frac{8 \ minutes}{\frac{2}{3} }[/tex]
[tex]\displaystyle \frac{\left(\frac{2}{3} \ mile \right)}{\left(\frac{2}{3} \right) } = 1 \ mile \ takes \ \frac{8 \ minutes}{\frac{2}{3} } = 8 \ minutes \times \frac{3}{2} = 12 \ minutes[/tex]
1 mile takes 12 minutes
It would take runner J 12 minutes to run 1 mile.
Learn more here:
https://brainly.com/question/16975251
https://brainly.com/question/24835470
If you’re seeing this just solve this for me already I’m giving a lot of points cmon brah
Answers
Answer:
1.$40
2.10
3.300
Step-by-step explanation:
1. 25-15=10
So that means she earns $5 per hour
5 pm - 2pm =3
5x3=15
25+15=40
2. 7-5=2
So that means he fixed 1 computer a hour
6pm - 3pm= 3
3x1=3
7+3=10
3.
9pm - 6pm =3
150/3=50
So that mean each hour the bus travels 50 miles
12pm - 9pm = 3
50x3=150
150+150=300
what is the value of y?
PLS HELP
Answers
Answer:
y = 10
Step-by-step explanation:
2y+30 = 3y+20
3y-2y= 30-20
y = 10
Answer:
[tex](2y30) = ( 3y + 20)[/tex]
so its 10 bc 30-20
Need help pre college
Answers
Answer:
[tex]\LARGE\mathsf{y\:=\:-\frac{7}{10}x\:-\frac{21}{10} }[/tex]
Step-by-step explanation:
Given the two points, (-3, 0) and (7, -7):
We can use these points to solve for the slope, and determine the value of the y-intercept.
Slope:Let (x₁, y₁) = (-3, 0)
(x₂, y₂) = (7, -7)
Substitute these values into the following slope formula:
[tex]\large\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\large\mathsf{m = \frac {-7\: -\:0}{7\: -\:(-3)}\:=\:\frac{-7}{7\:+\:3}\:=\frac{-7}{10}}[/tex]
Therefore, the slope of the line is: [tex]\large\mathsf{m\:=-\frac{7}{10}}[/tex].
Y-intercept:Next, we must determine the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis. The coordinates of the y-intercept is often represented by (0, b ), where the y-coordinate, b, is used as the value of the y-intercept on the slope-intercept form.
Using the slope, [tex]\large\mathsf{m\:=-\frac{7}{10}}[/tex] , and one of the given points, (-3, 0), substitute these values into the slope-intercept form, y = mx + b, and solve for the value of b:
y = mx + b
[tex]\large\mathsf{0\:=-\frac{7}{10}(-3)\:+\:b}[/tex]
[tex]\large\mathsf{0\:=\frac{21}{10}+\:b}[/tex]
Subtract [tex]\mathsf{\frac{21}{10}}[/tex] from both sides to isolate b :
[tex]\large\mathsf{0\:-\frac{21}{10}\:=\frac{21}{10}\:-\:\frac{21}{10}+\:b}[/tex]
[tex]\large\mathsf{\:-\frac{21}{10}\:=\:b}[/tex]
Therefore, the value of the y-intercept is: [tex]\large\mathsf{b\:=\:-\frac{21}{10}}[/tex].
Linear Equation in Slope-intercept Form:The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:-\frac{7}{10}x\:-\frac{21}{10} }[/tex].
i want to fight because nobody is helping mee so iwant to met up in atl
Answers
Answer:
met up with who?
Step-by-step explanation:
What is the equation of the line −3x − 2y = 30 in slope-intercept form?
y = −32x − 15
y = 3x + 30
y = x + 28
y = 32x + 15
Answers
Answer is y= -3/2x-15 the first one
(-10-3)-(1-5) solve this equation
Answers
Answer:
-9
Step-by-step explanation:
the sale price of a spring break vacation package was $119.99 the travel agent said by booking early you saved $50 find the percent decrease in price round the answer to the nearest tenth of a percent if necessary
Answers
Answer:
10%
Step-by-step explanation:
$179.99+$20=$199.99
$20/$199.99=0.1000
=10%
cuanto es 6 dividido por 19?
Answers
Answer:
0.3157894
Step-by-step explanation:
calculator ........................... ..... .
Answer:
0.315789474
6/19= 0.315789474
A stack of books weights 3.5 kilograms.About how many pounds is this.(Note : one pound is about 0.45 kilograms)
Answers
Answer:
7.8 pounds
Step-by-step explanation:
The relation between pounds and kilograms is proportional:
[tex]\dfrac{\text{books}}{3.5\text{ kg}}=\dfrac{1\text{ lb}}{0.45\text{ kg}}\qquad\text{pounds to kg proportion}\\\\\text{books}=\dfrac{(3.5\text{ kg})(1\text{ lb})}{0.45\text{ kg}}=\dfrac{3.5}{0.45}\text{ lb}\qquad\text{multiply by 3.5 kg}\\\\\boxed{\text{books}\approx7.8\text{ lb}}[/tex]
The stack of books weighs about 7.8 pounds.
A book sold 36,500 copies in its first month of release. suppose this represents 8.4% of the number of copies sold to date. How many copies have been sold to date?
Answers
Answer: 434,524
Step-by-step explanation:
We know 36,500 is 8.4% of the total. To find 100%, we must divide 36500 by 8.4 to find 1% which is 4345.238...
To get from 1% to 100%, we must multiply our answer by 100 to get 434523.8 which we can then round to the nearest whole number 434524
The height of a rectangular prism is 15 cm the area of its base is 270 square cm. What is the volume of the rectangular prism
Answers
Answer:
4050 cm cubed
Step-by-step explanation:
15 * 270 = 4050 cm cubed
can somone pls c h a t me
Answers
Answer:
no
Step-by-step explanation:
go seek some therapy
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780 to 220 as a ratio
