Answer:
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)
Then, the factorized form of [tex]q(x)[/tex] must be:
[tex]q(x) = x\cdot (x-17)[/tex] (2)
If we know that [tex]p(x) = 4[/tex], then the rational expression is:
[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
Emmy goes through a 50-ounce jug of laundry detergent in 40 loads. At the store, she
bought a jumbo jug of detergent. The jumbo jug contains 150 ounces of detergent.
How many loads of laundry can Emmy do with the jumbo jug of laundry detergent?
Hence 120 loads of laundry is required with jumbo jug of laundry detergent.
What is laundry detergent?A sort of detergent (cleaning agent) used to clean soiled laundry is laundry detergent (clothes). There are two types of laundry detergent produced: powder (washing powder) and liquid. Builders (about 50% by weight), surfactants (15%), bleach (7%), enzymes (2%), soil deposition inhibitors, foam regulators, corrosion inhibitors, optical brighteners, color transfer inhibitors, perfumes, dyes, fillers, and formulation aids may all be present in laundry detergents.
∵ Number of jumbo jug = 150 /50
n = 3
∴ Laundry loads required of detergent:
= 40 * n
= 40 * 3
= 120 loads
To know more about laundry detergent please visit:
https://brainly.com/question/16997259
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Line u has a slope of 7/9. Line v is perpendicular to u. What is the slope of line v ?
Answer:
-9/7 bc the perpendicular is the inverse of the former slope
Step-by-step explanation:
Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?
Answer:
40
Step-by-step explanation:
35/40 in percentage is 87.5%
Drag the missing statements and reasons to the correct spot to complete the proof
Answer:
The two column proof can be presented as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] Given
2. [tex]\overline{AD}[/tex] ≅ [tex]\overline{CB}[/tex] [tex]{}[/tex] Given
3. [tex]\overline{BD}[/tex] ≅
4. ΔABD ≅ ΔBCD [tex]{}[/tex] SSS
Step-by-step explanation:
Given that we have;
Segment [tex]\overline{AB}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CD}[/tex] of triangle ΔBCD and segment [tex]\overline{AD}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CB}[/tex] of triangle ΔBCD, and that the common segment [tex]\overline{BD}[/tex] of both triangles are congruent by reflexive property, we have that ΔABD is congruent to ΔBCD by the Side-Side-Side (SSS) rule of congruency.
1/5x + 24 = 50
what does x equal?
Answer:
130
Step-by-step explanation:
1/5x=50-24 subtract 24 to both sides
1/5x=26 multiply 5 on both sides
x=130 multiply 5 to both sides
Does anyone know the answer to this ? I need help!
write an equation of a line parallel to x=3
Answer: y = 4
Step-by-step explanation:
The equation y = 3 represents a vertical line. Thus, any equation in which y = m = 0 would be parallel to this line. Pick a random b-value and plug it into the equation with a slope of 0 and you should have a parallel line equation.
answer correctly for BL
Answer:
The height is 5 feet
H= v/b
Step-by-step explanation:
HURRY THIS IS TIMED!! I'LL GIVE BRAINLIEST! Please answer the question attached:
Answer:
Answer A is Linear. You can see this because each term is equal to the previous term plus a fixed amount (3), making it an arithmetic sequence.
Answer B is not linear. This is because each term is a multiple of the previous one, making it a geometric sequence.
Answer:
Function A
Step-by-step explanation:
Each time x increases by 1, y increases by 3. Function B is exponential instead of linear, because y increases by a larger number each time rather than increasing by the same amount.
Good luck :)
PLEASE HELP! but pleassseee don't answer if you just want the points I'll report you. It's really simple I'm just REALLY not smart
Answer:
A) 15x+9x
B) you have to graph
C)yes, all she wants to do is make 90 bucks she can totally do more if she wants
D) you can choose
Step-by-step explanation:
15*12 & 9*12
help plz ill give brainliest
Answer:
I think 3 not positive
Step-by-step explanation:
let me know
Answer:
(4*200)+(4*10)+(4*3) = 4*213
Consider the graphs of Equals 5 sine (2 x minus StartFraction pi Over 3 EndFraction) and . Which feature of the graph of g(x) is different from the graph of f(x)?
Answer:
c
Step-by-step explanation:
edge 2020
Answer:
C. the phase shift
Step-by-step explanation:
edge 2020
what is -6+9(8-2b) simplified
Answer:
60
Step-by-step explanation:
I did this ones and its not hard
Answer:
60
Step-by-step explanation:
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. PLS ANSWER CORRECT ANSWER WILL GET BRAINLIEST 100 POINTSSS
Answer:
T
n
+
1
=
T
n
+
d
T
1
=
a
Where the first term is equal to
a
and the common difference is
d
.
Option a can be expressed as follows:
T
n
+
1
=
T
n
+
4
T
1
=
1
Option c can be expressed as follows:
T
n
+
1
=
T
n
−
4
T
1
=
1
Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)
Hope that helps :)
Step-by-step explanation:
ASAP PLEASE FOR BRAINLIEST!!!
Cindy Lou is Christmas shopping. She sees bracelets for $4.75. How many
can she buy for herself and her friends if she spends no more than $30? Be
sure to include an inequality to represent this scenario.
Answer:
6 Bracelets
Step-by-step explanation:
Hope it helps
Please help i’m in 8th grade and this is the last day to turn in all my assignments.
Answer: i believe that it is 49 hits
Comment:
and believe me sis i feel ya i'm in 8th grade and fell behind tryna help other people because i don't want others to feel what i felt.
GOOD LUCK!
A car that travels 20 miles in LaTeX: \frac{1}{2}1 2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in LaTeX: \frac{3}{4}3 4 hour at a constant speed. Both cars go miles in LaTeX: \frac{1}{4}1 4of an hour (or 15 minutes). Both cars will travel miles in 1 hour.
Answer:
10 miles per 1/4 hour
40 miles per hour
Step-by-step explanation:
Given that:
A car travels 20 miles in 1/2 hour
Miles traveled per hour :
(20 * 2) / 1 = 40 miles per hour
Mile traveled in 1/4 hour :
Distance = speed * time
Distance = 40 mph * 1/4 = 10 miles per 1/4 hour
Car traveling 30 miles in 3/4 hours
(30 * 4) /3 = 120 / 3 = 40 miles per hour
Distance = 40 mph * 1/4 = 10 miles per 1/4 hour
Mia has 65 sea shells but How many more sea shells does she need to have 200 sea shells
Answer:
135 more
Step-by-step explanation:
A tank that is filled with water drains at a rate of d216+4d−100 d 2 16 + 4 d − 100 gallons per minute where d is the depth of the tank in feet. Pumping out a tank that is 120 feet deep with this same pump would empty the tank at what rate? 1380 gal/min 1380 gal/min 1280 gal/min 1280 gal/min 900 gal/min 900 gal/min 387.5 gal/min 387.5 gal/min 487.5 gal/min
Given:
Consider the tank that is filled with water drains at a rate of [tex]\dfrac{d^2}{16}+4d-100[/tex] gallons per minute where d is the depth of the tank in feet.
Depth of tank = 120 feet.
To find:
The rate of water drain for that tank.
Solution:
We have, rate of water drain in gallons per minute.
[tex]r=\dfrac{d^2}{16}+4d-100[/tex]
where, d is the depth of the tank in feet.
Put d=120, to get the rate of water drain for the tank.
[tex]r=\dfrac{120^2}{16}+4(120)-100[/tex]
[tex]r=\dfrac{14400}{16}+480-100[/tex]
[tex]r=900+380[/tex]
[tex]r=1280[/tex]
Therefore, the rate of water drain is 1280 gal/min. Hence, the correct option is B.
What is the sum of all integers $n$ that satisfy
$$-3n < 7n-20 < 3n~?$$
$($In other words, what is the sum of all integers $n$ that satisfy both of the inequalities
$$-3n<7n-20\text{~~and~~}7n-20<3n~?)$$
If you can't figure out the latex here is a screenshot ( in the comments)
Looks like the inequality is
-3n < 7n - 20 < 3n
Add 3n to each side:
0 < 10n - 20 < 6n
Solve the right inequality.
10n - 20 < 6n
Add -10n to both sides:
-20 < -4n
Divides both sides by -4:
5 > n
Now solve the left inequality, and take the intersection of the two solution intervals.
0 < 10n - 20
Add 20 to both sides:
20 < 10n
Divide both sides by 10:
2 < n
So 2 < n < 5. There are only 2 integers in this range (3 and 4), whose sum is 7.
Answer:
7
Step-by-step explanation:
We solve each of the two inequalities separately. To solve the first inequality, -3n<7n-20, we add 3n to both sides:
0<10n-20, then we add 20 to both sides to get
20<10n. Finally, dividing both sides by 10 gives 2<n, so n must be greater than 2.
For the second inequality, 7n-20<3n, we subtract 3n from both sides:
4n-20<0, then add 20 to both sides to get
4n<20. Finally, dividing both sides by 4 gives n<5, so n must be less than 5.
The only integers that are greater than 2 and less than 5 are 3 and 4. So, the sum of all possible integer values of n is 3+4=7.
Blank% of 35 = 21 percent equations
Answer:
60%
Step-by-step explanation:
60% of 35 = 21
here is the chart again. what is the speed that brian is riding his bicycle between minutes 11 and 15
Answer:
I think it is maybe 0.7 or 2.8 for the speed
Step-by-step explanation:
I am not sure, i am sorry if it is wrong
find the number whose cube are 4913
Step-by-step explanation:
4913 is said to be a perfect cube because 17 x 17 x 17 is equal to 4913.
Answer:
[tex] {17}^{3 } = 4913[/tex]
Thank you and please rate me as brainliest as it will help me to level up
THE LOOK DOWN PLZ ||
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Answer:
Ur right, its 4!
Step-by-step explanation:
Answer:
you have the right one its 4
Step-by-step explanation:
what is the base of 4^4
Answer:
it's 4...............
Answer:
The answer is 1
True or false: A rotation is a type of transformation in which each point of a pre-image is moved along a circular path centered at a given
center of rotation O. (1 point)
This statement is false. A rotation is a type of transformation in which every point of an object is moved to a point on the other side of a given line and
the same distance from the line.
O This statement is false. A rotation is a type of transformation in which every point of an object moves the same distance in the same direction.
O This statement is true
O This staterment is false. A rotation is a line over which each point in a fiqure is reflected.
How can you get $120 using 10 bills?
Answer:
Twelve 10 dollar bills
Step-by-step explanation:
10, the value of a 10$ bill, times twelve equals 120$
A shop owner offered a 20% discount off the regular price of a mirror. The amount of the
discount is $3.
What is the regular price of the mirror?
Answer:
it was $15 before the discount
Step-by-step explanation:
Which equation is modeled below?
-x+ 1 = 2x+ 3
X+(-1) = 2x+3
X+(-1) = 3x+2
-2x = 2x+3
Answer:
Step-by-step explanation:
First one
Answer:
A
Step-by-step explanation:
please help me i’m stuck !
Answer:
1n plus 2d
ayyyyyyyyyyyy