Answers
Step-by-step explanation:
Options B and C are wrong because 0 as a numerator is totally fine as a real solution.
In Option A,
15(x² - 1) = 10(3x - 3)
15x² - 45x + 30 = 0
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
x = 1 or x = 2.
This is correct as x cannot be 1 (dividing by zero).
In Option D,
(x + 2)(x - 1) = 40
x² + x - 42 = 0
(x - 6)(x + 7) = 0
x = 6 or x = -7.
In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)
Hence the answer is A.
Related Questions
the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.
Answers
Answer: 1/3
Step-by-step explanation:
Here is the complete question:
machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.
The Probability of the above question will be calculated as:
= (10-9) / (11.5 - 8.5)
= 1/3
The above is the easier way to solve this
What is the probability of picking a purple marble and spinning green?
Answers
In tuv y is centroid if yw=5b and ty=4b+14 find tw
Answers
your right Step-by-step explanation:
The measure of TW from the given triangle TUV is 35 units.
What is centroid of a triangle?The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.
Given that, in triangle TUV, Y is centroid if YW=5b and TY=4b+14.
The centroid is positioned inside a triangle. At the point of intersection (centroid), each median in a triangle is divided in the ratio of 2:1.
Now, TY/YW =2/1
(4b+14)/5b =2/1
10b=4b+14
6b=14
b=14/6
b=7/3
Now, TW=YW+TY
TW=5b+4b+14
TW=9b+14
Substitute, b=7/3 in TW=9b+14, we get
TW=9×7/3+14
= 21+14
= 35
Therefore, the measure of TW is 35 units.
Learn more about the centroid here:
brainly.com/question/10708357.
#SPJ2
How to write the slope intercept form of
y - 4 = 3 (x-2)
Answers
Answer:
y=3x-2
Step-by-step explanation:
y-4=3(x-2)
y-4=3x-6
y=3x-2
Which expressions are equivalent to -6(6 + 2) + 8?
Choose all answers that apply:
A
-66 + 2 +8
B
- 66 - 4
None of the above
Answers
Answer:
None of the above
Step-by-step explanation: -6(6+2) + 8 = -40 so -66 + 2 +8 = 56 and -66 - 4 = 70
Find the distance between the lines with equations 5x+8y=0 and y=-5/8x-8.
A.7.1
B.7.11
C.7.12
D.7.13
Answers
Answer:
B
Step-by-step explanation:
Answer: It's A 7.1
ON THE EDGE 2121!
Help plsssssss............
Answers
12x-18=90
+18 +18
12x=108/12
x=9
please answer asap i’m timed. WILL GIVE BRAINLIEST!!
The side lengths of triangle RST are 5, 12, and 13. Which set of ordered pairs from a triangle that is congruent to triangle RST?
a) (-3, -2),(-3,11),(9,-2)
b) (1,-3),(6,-3),(6,10)
c) (2,-1)(7,-1),(2,11)
d) (5,1),(1,13),(12,1)
Answers
Answer:
sin(R) = 12/13
tan(T) = 5/12
Step-by-step explanation:
Answer:
C. (2,–1)(7,–1),(2,11)
Step-by-step explanation:
I am taking the exam right now and Im actually a genius!!!
PART 2
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
54 hours
Step-by-step explanation:
So, first of all subtract the money she has from the total amount.
540-60=480 She still needs $480. So divide this number by the amount she gets in an hour. (9)
480/9 =53.33333 since she can't work half hours, i rounded up.
Please help answer the first 2 boxes for brainslt
> for brainslt
Answers
y=mx+b
From a Graph:
m=3/2 b=3
Equation: y=3/2x+3
Non-Proportional
Negative Slope
2nd From a Graph:
m=5/2 b=4
Equation: y=5/2x+4
Non-Proportional
Negative Slope
Horatio bought a new bicycle on layaway. He made a $45 initial payment to the
bike shop, and then agreed to pay $10 each week until the bike was paid for. Which
equation represents the relationship between x, the number of weekly payments,
and y, the total amount paid to the bike shop?
Answers
Answer:
100
Step-by-step explanation:
Helppppppppppp plzzz
Answers
Answer:
4
Step-by-step explanation:
hope this helps......
what's the value of this expression 9 1/2 (-2.5)
Answers
Can you please show work if you can. Thank you
Answers
The sum of two numbers is negative thirty-two. One number is two less than the other.
Call the numbers m and n.
Answers
Answer:
-15 and -17
Step-by-step explanation:
Please help!
1. Camila's goal is to run 1 1/2 miles a day. She ran 4 /6 mile in the morning. She says she still needs to run 1 1/6 miles in the afternoon to reach her daily goal.
Which phrase explains why Camila's statement is incorrect?
A. 2/4 is not a multiple of 1/6
B. 1/6 is less than half (wrong)
C. 4/6 is more than half
D. 2 is less than 4
2. Henry has a recipe that calls for 3 3/4 cups of sugar. He wants to use 2/3 that amount. How much sugar will Henry use?
A. 2 1/2
B. 4 5/12
C. 3 1/12 (wrong)
D. 5 5/8
3. Sienna shares half of a pizza equally among herself and 3 friends.
What fraction of the whole pizza will each friend get?
A. 6 pizzas
B. 1/6 pizza (wrong)
C. 1/8 pizza
D. 8 pizza
Answers
Number 2 is A
Number 3 is C
please help meeee the blue line is what I have to find please show your work
Answers
Answer:
So we have to satisfy the equation so let us simplifyLet the empty space be n N-16+4n+9+1= 10n-6 N-4n=10nn=14n So the missing value is 14N to statify the equationSo now the equation is n-16+4n+10=10n-6
Collect like terms
5n-6= 10n-6
Move 6 to the other side as a positive
5n=10n
Move 10n to the other side as a negative
5n-10n=0
-5n=0
Divide both sides by -5
So, n is equal to 0
+) Evaluate the expression 81 – 82.
81 – 82 =
Answers
Answer:
81-8²
=81-(8×8)
=81-64
=17
O 14,000 16) How many zeros will be in the product of 4 x 500?*
Answers
Answer:
3 zeros
Step-by-step explanation:
4*500=2000
What is the perimeter of the parallelogram?
units
Answers
Answer:
P = 36 units
Step-by-step explanation:
perimeter of the given diagram: (see attached)
P = 8 + 8 + 10 + 10
P = 36 units
what is the equation of the line that has a slope of 5 and passes through the point (2,7)?
Answers
Answer:
[tex]y = 5x - 3[/tex]
Step-by-step explanation:
Given
[tex]Slope, m = 5[/tex]
[tex](x_1,y_1) = (2,7)[/tex]
Required
Determine the line equation
Using slope intercept form, the line equation can be calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for m, x1 and y1. The equation becomes
[tex]y - 7=5(x - 2)[/tex]
Open Bracket
[tex]y-7 = 5x - 10[/tex]
Add 7 to both sides
[tex]y-7+7 = 5x - 10+7[/tex]
[tex]y = 5x - 3[/tex]
Hence, the line equation is: [tex]y = 5x - 3[/tex]
The shortest route from London to York is 200 miles.
A lorry is expected to take 4 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 4 hours.
By how many more mph than the expected speed does the lorry travel?
Answers
Answer: The lorry is traveling 10 mph over the expected speed.
Step-by-step explanation:
If 200 miles takes 4 hours, the speed is 200mi/4hr which is 50 mph.
If the distance is increased by 20%, the distance is 240 miles.
240mi/4hr = 60mph
The difference is 10mph
Forced vital capacity (FVC), a standard measure of pulmonary function, is the volume of air a person can expel in 6 second. The standardized FVC follows approximately a standard normal distribution. A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean. The probability that a child is within the normal range of long growth is ______________.
Answers
Answer: the probability that a child is within the normal range of long growth is 0.8664
Step-by-step explanation:
Given that;
A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean.
he probability that a child is within the normal range of long growth = ?
so we need to find
P( -1.5 < z < 1.5)
which can also be represented as;
⇒2 × ( 0 < z < 1.5)
so we have
⇒ 2 × 0.4332
= 0.8664
Therefore the probability that a child is within the normal range of long growth is 0.8664
identify the type of pair of angles labeled as 1 and 2 in the figure. will give brainliest!!!!!
Answers
Complete the number sentence.
0.30 ÷ 0.06
Answers
Answer:
5
Step-by-step explanation:
Answer:
0.30 ÷ 0.06 = 5
Step-by-step explanation:
Pls helpppppp! 25 points will mark brainliest!!!!!
Answers
That is the answer. Hope it helps!
a family wants to rent a car to go on vacation. Company A charges $30.50 and 9 cents per mile. Company B charges $70.50 and 14 cents per mile. How much more does Company B charge for x miles than company A?
For x miles, Company B charges __ dollars more than company A.
Answers
Answer:
$(39.24x)
Step-by-step explanation:
We need to find out their difference for one mile before calculating their difference for x miles.
Difference per mile = ($70.50 + $0.14) - ($30.50 + $0.90)
= $70.64 - $31.40
= $39.24
Difference for x miles = $39.24 × x miles
= $(39.24x)
A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28. Using the sample data given, calculate a 95% confidence interval for the population mean.
Answers
Answer:
(228.663 ; 241.337)
Step-by-step explanation:
Given that:
Mean (m) = 235
Standard deviation (s) = 28
α = 95%
Zcritical at 95% = 1.96
Sample size (n) = 75
The confidence interval of the population mean can be obtained using the relation :
Mean ± Error
Error = Zcritical * (s/sqrt(n))
Error = 1.96 * (28/sqrt(75))
Error = 1.96 * 3.2331615
Error = 6.33699654
Error = 6.337
Lower boundary = 235 - 6.337 = 228.663
Upper boundary = 235 + 6.337 = 241.337
(228.663 ; 241.337)
Here are the monthly charges for Jo's mobile phone
Monthly charge 616
150 free minutes, then 18p per minute
150 free texte, then 18p per text
During one month, Jo makes 170 minutes of calls and sends 182 texte,
Work out the total charge for the month
Answers
Answer:
The correct answer is - 625.36.
Step-by-step explanation:
Given:
Fixed mothly plan - 616
free minutes - 150
Used minutes - 170
Free text - 150
Used text - 182
Charging amount over free limit - 18p
Solution:
Number of minutes over the limit - 170 - 150 = 20
Number of text over the limit - 182 - 150 = 32
So the extra amount that will be add to the monthly charge would be -
(20*0.18) +(32*0.18)
and the total charge of the month would be -
= 616+(20*0.18) +(32*0.18)
= 616+3.60+5.76
= 625.36
Thus, the correct answer would be - 625.36
Mr. Logan spent 14 cents at the hardware store buying nails and screws. Nails cost 2 cents, and screws cost 1 cent. If Mr. Logan bought exactly 9 items, how many of each did he buy?
Please help me fast !!!
Answers
Answer:
5 nails and 4 screws
Step-by-step explanation:
Make it into an expression where N= amount of nails bought and S= amount of screws bought. Then set it equal to the amount he paid.
ie: 2n+1s=14
Now make another equation for how many he bought.\
ie: n+s=9
Now subtract one of the letter variables from the second equation to get one on alone.
ie: n=9-s
Now, since you have a value for N, substitute it for the value in the original equation so that there's only one variable.
ie: 2(9-s)+1s=14
Now solve for S.
ie: 18-2s+s=14
ie: -s=-4
ie: s=4
Now you have a number value for S that you can plug in the original equation to find the value of N.
ie: 2n+4=14
ie: 2n=10
ie: n=5
Now plug in your values for N and S into the original equation to check it. Your answer is 5 nails and 4 screws.