Solve the rational equation 4 divided by x equals quantity 3 times x plus 2 end quantity divided by x squared, and check for extraneous solutions.
Answers
Answer:
x = 2
Step-by-step explanation:
Step 1: Write equation
[tex]\frac{4}{x}=\frac{3x+2}{x^2}[/tex]
Step 2: Solve for x
Cross multiply: [tex]4x^2=x(3x+2)[/tex]Distribute x: [tex]4x^2=3x^2+2x[/tex]Subtract 3x² on both sides: [tex]x^2=2x[/tex]Subtract 2x on both sides: [tex]x^2-2x=0[/tex]Factor: [tex]x(x-2)=0[/tex]Solve: [tex]x = 0, 2[/tex]Step 3: Check
Plug in x to verify it's a solution.
Substitute: [tex]\frac{4}{0}=\frac{3(0)+2}{0^2}[/tex]Evaluate: undef (cannot divide by 0)Substitute: [tex]\frac{4}{2}=\frac{3(2)+2}{2^2}[/tex]Evaluate: [tex]2=\frac{6+2}{4}[/tex]Evaluate: [tex]2=\frac{8}{4}[/tex]Evaluate: [tex]2=2[/tex]Related Questions
Is it true that a number is divisible by 18 if the sum of all of its digits is divisible by 18?
Answers
A deal is a deal, so here is a good one, let's see who gets it right I had $5.00. My mom gives me $10.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $5.00. How much money did I have?
Answers
Answer:150.00$
Step-by-step explanation:
The total amount that the person will have is $150.00
Amount that the person had = $5.00 + $5.00 = $10.00Amount given by mum = $10.00Amount given by dad = $30.00Amount given by aunt and uncle = $100.00The total amount that the person had will be the addition of all the amount that he already had and those that he was given. This will be calculated thus:
$10.00 + $10.00 + $30.00 + $100.00 = $150.00
Therefore, the total amount that the person will have is $150.00
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Greta can bike 6 miles in 30 minutes. At that rate, how many miles can she bike in 45 minutes?
Answers
Answer: 9 miles
Step-by-step explanation:30 divided by 6 is 5. So the was biking 1 mile every 5 minutes. 45 divided by 5 is 9.
Feet up a ratio for miles over time:
6/30 = x/45
Cross multiply:
30x = 270
Divide both sides by 30:
X = 270/30
X = 9 miles
Come One Come All!!!!!
Answers
Answer: 1. is A, 2. is C, i dont know 3. 4. is B i think. then 5. is probably option 2
Step-by-step explanation:
Hey I have a question for y’all, what helps build preseverance in your opinion ?
Answers
Answer:ummm......
Step-by-step explanation:
what ur questions I don't get it
how to simplify this
[tex] {4x}^{ 3} \times {2x}^{3} [/tex]
Answers
8X^6
4*2=8
X^3*X^3 = added the cubes
X^6 is the result
8X^6 is the answer
if I walk 125 steps in a minute what would my walking rate per minute be
Answers
Answer:
um 125? Is this a joke ??????
Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle
Answers
Answer:
This is very easy.
Step-by-step explanation:
Get a graph. The top of your triangle would be (0,0), the next angle or point would be (10,-4), and the last would be (-4,10). If graphed, the triangle would look like a triangle slanted to the left. To picture this, the top of your triangle would be diagonal to the second point (10,-4). Remember it's slanted to the left. That should be easier to picture.
The last awsner choice is 3/21 thank u pls pls I’ll give u brainliest
Answers
Answer:
question 10 answer I think is 4/147
Step-by-step explanation:
I did this
3/21 X 2/21 = 4/147
don't remember if that's the procedure but wish you luck
Employees of a painting service paint the interior walls of homes and office buildings. The following table shows the number of cans of paint the employees use, and the number of square feet they cover. which equation describes the relationship between the number of cans of paint used, and the number of square feet that are covered?
Answers
Answer:
Can you give the chart?
Step-by-step explanation:
Answer:
Y=375x
Step-by-step explanation:
Thats it
an open tank has tge shape of circular cone. the tank is 8feet across the top and 6 feet high. watwr is pumped through the buttom of the tank. how much work is done to fill the tank from a depth of 4 feet to a depth of 6 feet? water weighs 62.4 pounds per cubic foot
Answers
Answer:
[tex]W=22652.98ft-lb[/tex]
Step-by-step explanation:
We are given that
Height of tank=6feet
Diameter of tank=8 feet
Radius of cone,r=d/2=8/2=4 feet
Let a layer of thickness dy at distance yr from the bottom at origin
y=6 feet
Using similar triangle property
[tex]\frac{r}{y}=\frac{4}{6}=\frac{2}{3}[/tex]
[tex]r=\frac{2}{3}y[/tex]
Weight of water=62.4 pounds per cubic foot
Now,
Weight of layer=[tex]62.4\times \pi r^2 h=62.4(\frac{4}{9}\pi y^2 dy[/tex]
Now, work done to fill the tank from a depth of 4 feet to a depth of 6 feet is given by
[tex]W=\int_{a}^{b}62.4\times \frac{4}{9}\pi y^2(y) dy=\int_{4}^{6}62.4\times \frac{4}{9}\pi y^3 dy[/tex]
[tex]W=\frac{62.4\times 4\pi}{9}[\frac{y^4}{4}]^{6}_{4}[/tex]
[tex]W=\frac{249.6\pi}{36}(6^4-4^4)[/tex]
[tex]W=22652.98ft-lb[/tex]
What is the y-intercept of y = 2x + 5
Answers
Answer:
5
Step-by-step explanation:
Twice the difference of a number and 7 is at least 18
Answers
Answer: n=16
Step-by-step explanation:2(n-7) = 18
n - 7 = 9
+7 +7
Answer:
2(x-7) ≥ 18
2x - 7 ≥ 18
+7 +7
2x ≥ 25
2 2
x ≥ 12.5
Check
2((12.5) -7) ≥ 18
2(5.5) ≥ 18
11 ≥ 18
I think this works
Which ordered pair is a solution to the equation? y - 6 = 7(x - 4) Recall (x, y)
Answers
Answer:
Your answer is neither
Step-by-step explanation:
Answer:
The last one: Neither
Step-by-step explanation:
Khan
The entrepreneurship club is ordering potted plants for
all 36 of its sponsors. One store charges $8.50 for each
plant plus a delivery fee of $20.
The equation 320 = x + 7.50(36) represents the cost
of ordering potted plants at a second store.
What does the x represent in this situation?
The cost for each potted plant at the second store
The delivery fee at the second store
The total cost of ordering potted plants at the second store
The number of sponsors of the entrepreneurship club
Yes
Answers
Answer:
The delivery fee at the second store
Step-by-step explanation:
The x represents the delivery charge.
The cost for each potted plant at the second store is $7.50.
The delivery fee at the second store is $50.
The total cost of ordering potted plants at the second store is $270.
The number of sponsors of the entrepreneurship club is 36.
Given,
The entrepreneurship club is ordering potted plants for all 36 of its sponsors.
One store charges $8.50 for each plant plus a delivery fee of $20.
The equation 320 = x + 7.50(36) represents the cost of ordering potted
plants at a second store.
We need to find:
- what does the x represents
- the cost for each potted plant at the second store
- the delivery fee at the second store
- the total cost of ordering potted plants at the second store
- the number of sponsors of the entrepreneurship club
How do we represent a total cost with different charges and a number of items?If the number of items = M
Cost of each item = $N
Charges = P
Then the total cost can be represented by:
= M x $N + P
The charges are separated since it's an individual charges.
The exclusive total cost for the items is:
= Number of items x Cost of each item.
We have,
Number of sponsors = 36
One store:
Cost of each plant = $8.50
Delivery fee = $20
Second store:
320 = x + 7.50(36)
This equation represents the cost of ordering plotted plants from the second store.
Here,
x = delivery charges
Cost of each plotted plant = $7.50
The delivery fee at the second store:
320 = x + 7.50(36)
320 = x + 270
x = 320 - 270
x = $50
The total cost of ordering potted plants at the second store:
= 7.50 x 36
= $270
The number of sponsors of the entrepreneurship club:
= 36
Thus,
The x represents the delivery charge.
The cost for each potted plant at the second store is $7.50.
The delivery fee at the second store is $50.
The total cost of ordering potted plants at the second store is $270.
The number of sponsors of the entrepreneurship club is 36.
Learn more about what the given expression represents here:
https://brainly.com/question/11632535
#SPJ2
If I had 3 apples, and Mortar took 1 apple, how much would i have left???
Answers
Answer:
2 Apples!!!
Step-by-step explanation:
Hope this helps!!!
Answer:
2 apples
Step-by-step explanation:
3 - 1 = 2.
Hope this helps.
In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.
Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.
(SELECT TWO)
Answers
Answer:
If this is a multiple-choice, then you just have to pick the choices that are 3:1, but multiplied, like 6:2, 9:3, etc.
Find the value of the unknown
Answers
Answer:
20°
Step-by-step explanation:
Step 1:
4n = 80° Vertical ∠'s
Step 2:
n = 80° ÷ 4 Divide
Answer:
n = 20°
Hope This Helps :)
486 inches 162 inches 4 1/2 yards ?
Answers
Answer:
486 inches is 13.5 yards and 162 inches is 4.5 yards please mark brainlist thank you
Need help ASAP hv 30 minutes
Answers
Answer:0.8 I think
Step-by-step explanation:
why is 6/3 an integer
Answers
Hey there!
Answer:
6/3 is not an integer*
Step-by-step explanation:
Integers are just like whole numbers, but they also include negative numbers:
Integers: { -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 }
*Like whole numbers, integers don't include fractions or decimals.
Hope this helps!!
:D
Probability is a measure of how likely an event is to occur. Match one of the probabilities that follow with each statement of likelihood given. (The probability is usually a more exact measure of likelihood than is the verbal statement.)0 0.01 0.45 0.50 0.55 0.99 11. This event is impossible. It can never occur.A. 0B. 0.01C. 0.3D. 0.6E. 0.99F. 12. This event is certain. It will occur on every trial.A. 0B. 0.01C. 0.3D. 0.6E. 0.99F. 13. This event is very likely, but it will occur once in a while in a long sequence of trials.A. 0B. 0.01C. 0.3D. 0.6E. 0.99F. 14. This event will occur slightly less often than not.A. 0B. 0.1C. 0.3D. 0.45E. 1
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Verbal statement and associated probability:
P = 0 ; This event is Impossible event, it will never occur. It is the least value of probability an event can take.
P = 1 ; This event is certain, it will occur on every trial. It is the highest value of probability an event can have.
P = 0.6 ; very likely event, but will occur once in a while in a long sequence of trials ; very likely signifies a probability above average (0.5) though will not always occur.
P = 0.45 ; This event will occur slightly less often than not; as the probability value slightly falls below the average standardized probability value (0.5)
Hank draws a line with a zero slope through the points
(–2, 4) and (3, b). Which value of b could represent Hank’s second point?
–3
–1
4
9
Answers
Answer:
b=4
Step-by-step explanation:
Since the line has a slope of zero, it's a horizontal line. A horizontal line so have the same y axis bc it passes through the y axis. So in this case the coordinate point is (-2,4) and it has a zero slope so you can assume that b= 4 since it has a zero slope.
Answer: C=4
Got this answer right hit the heart button if this helped or comment and let me know if this helped you : ) have a great day!
pls help me what’s the answer
Answers
Answer:
D infinity
Step-by-step explanation:
As x approaches negative infinity, the graph is going up indefinitely, so y approaches infinity.
Factor completely
3x^2 + 7x - 6
Zzz
Answers
Answer:
(3x−2)(x+3)
Step-by-step explanation:
these are ur answers
3x^2+7(x)-6
3x^2+(-2+9)x-6
3x^2-2x+9x-6
(3x^2-2x)+(9x-6)
x(3x-2)+3(3x-2)
(3x-2)(x+3)
Brainliest please??
At a construction job for a mall there are 40 painters. Of these painters, 34 of them are painting the interior of the mall. What percent of these painters are painting the interior
Answers
Answer:
85%
Step-by-step explanation:
34/40 = 0.85 = 85%
Question:
x = __ degrees
Answers
Answer:
80°
Step-by-step explanation:
Because a straight line always is equal to 180°
so 180 - 100 = 80
Your answer is 80.
Pls consider marking my answer as Brainliest! It would mean a lot!
pls do this i’ll give brainliest!!
Answers
Answer:
7. move to the right by 4 units and down by 5 units
8. just rotate it to the left side (180 degrees is a flat line in the opposite direction)
9. reflection is pretty easy, just pretend you are folding your paper in half. so just redraw it on the other side in the opposite direction (fold paper sideways)
Step-by-step explanation:
find the value of x.
x=
Answers
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
I need help with this please
Answers
Answer:
idk
Step-by-step explanation: