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Let t as y² + 5y .
[tex] {y}^{2} + 5y = t[/tex]
Rewrite the equation :
[tex]t - \frac{36}{t} = 0 \\ [/tex]
Multiply sides by t
[tex]t \times (t - \frac{36}{t} ) = t \times 0 \\ [/tex]
[tex] {t}^{2} - 36 = 0[/tex]
Add sides 36
[tex] {t}^{2} - 36 + 36 = 0 + 36[/tex]
[tex] {t}^{2} = 36[/tex]
[tex]t = ± \: 6[/tex]
_________________________________
So :
[tex] {y}^{2} + 5y = 6[/tex]
Subtract sides 6
[tex] {y}^{2} + 5y - 6 = 6 - 6[/tex]
[tex] {y}^{2} + 5y - 6 = 0[/tex]
[tex](y + 6)(y - 1) = 0[/tex]
[tex]y = - 6 \: \: or \: \: y = 1[/tex]
##############################
[tex] {y}^{2} +5y = - 6[/tex]
[tex]No \: \: solution[/tex]
_________________________________
Thus (( y = 1 )) and (( y = - 6 )) are the roots of the equation .
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Related Questions
Brainliest to right answer with explanation
Answers
Answer:
It has no solutions : The input is a contradiction: it has no solutions
Part D
The zoo plans to have four more female tigers than male tigers. Write an equation relating the number of male tigers, m, to the number of female
tigers, f.
Answers
Answer:
[tex]f\,=\,m\,+ \,4[/tex]
Step-by-step explanation:
The relationship between male and female tigers is given by the equation
[tex]f\,=\,m\,+ \,4[/tex]
Answer:
f = m + 4
Step-by-step explanation:
How many is dollars will you receive for one Japanese yen
Answers
Answer:
You will earn about a cent.
Step-by-step explanation:
The actual amount is about 0.0096 dollars, but you can round it out to 0.01 dollars, or 1 cent.
Prices for a day ticket entrance at the Disneyland Paris Resort are as follows: Work out the percentage discount offered with the family ticket option.
Answers
Answer:
15% discount
Step-by-step explanation:
To find the discount first we need to find out the cost without the family ticketNow the family ticket covers 2 Adults and 2 children, but how much is that using the standard prices?So [tex]2adults= 2*(55)=110[/tex] which is Euros I believeThen [tex]2children= 2*(45)=90[/tex] We add these together 110+90=200 Euros, that's how much 2 adults and 2 children cost with standard pricesNow the family ticket only charges 170 EurosSo how much less is the family ticket to the regular price? 200-170=30 EurosThat's the discount, now what percentage of the actual price 200 Euros, is 30 Euros?First we write it as a fraction; 30 Euros out of 200 Euros which is [tex]\frac{30}{200} =\frac{3}{20}[/tex] To find the percentage, we multiply the fraction by 100[tex]\frac{3}{20} *100=\frac{3*100}{20}=\frac{300}{20} =15percent[/tex] or 15%This just means "take out 15% of 200 from the 200 Euros original price" so that's the percentage discount that the family ticket providesAnswer:
15%
Step-by-step explanation:
What is the slope of the line on the graph?
Answers
Answer:
The slope is -2.
Step-by-step explanation:
You can tell because every time the line goes down, it goes 2 down and 1 to the right.
#teamtrees #WAP (Water And Plant)
Answer the question 20. Y=x-3
Answers
Answer:
The slope is 1. The y-intercept is -3. The x-intercept is 3.
Step-by-step explanation:
HELP
Find the value of x
Answers
Answer:
x=30
Step-by-step explanation:
2x+x+90=180 (anglesome prop.)
3x+90=180
3x=180-90=90
3x=90
x=90/3=30
ANSWER QUICK PLEASESSS
Answers
Answer:
Step-by-step explanation:
1). y = - 4x + 7
Reflected across what????
if x-axis, then y ⇒ - y
So the answer would be y = 4x - 7
2). y = 2x - 14
3). y = 2x - 8
4). y = 12x + 9
Solve: 5^2 - 0.2 x (8+12) x 1/2
Answers
Answer:
23
Step-by-step explanation:
Paris had - $11.00 in her checking account. She did a few chores and made $44.50. She decided to pay for her and a friend Jenifer to go to the movies and each ticket costs $6.25. How much money does she have left in her account? Create a number sentence to show how you got your answer
Answers
Answer: 43
Step-by-step explanation:
(11+44.50) - (6.25 x 2)
A player has 26 hits in 120 times at bat. Write the player’s batting average as a decimal. (Batting Average = Number of Hits divided by Number of Times at Bat)
Answers
Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly three will end up being replaced under warranty
Answers
Answer:
the probability that exact three would be replaced under each warranty is 0.34
Step-by-step explanation:
The computation of the probability that exact three would be replaced under each warranty is as follows
Given that
Submitted under warranty = P = 20%
Replaced with the new units = 40%
So replaced and submitted would be
= 40% × 20%
= 80%
Now let us assume the number of telephones be x for ending up for replacement
Total number of telephones purchased is 10
Now the probability by applying the formula of binomial probability is
[tex]P(X) = n_C_xp^x(1 - p)^{n-x}[/tex]
[tex]P (X = 3) = ^{10}C_3(0.08)^3 (1 - 0.08)^{10 - 3}\\\\= \frac{10!}{3!(10! - 3!)} (0.08)^3(0.92)^7\\\\[/tex]
= 0.34
Hence, the probability that exact three would be replaced under each warranty is 0.34
A lasagna recipe uses 1 2/4 teaspoon basil 1/4 teaspoon pepper and 4 teaspoons parsley if you double the recipe how many teaspoon of seasoning will you use
Answers
Answer:
11 1/2 teaspoons
Step-by-step explanation:
1 2/4 basil= 1.5 tsp If you multiply this by two to double the recipe you will have 3 teaspoons of basil.
1/4*2= 2/4 pepper
4*2=8 parsley
After you double everything you need to add them together:
3+2/4+8
Which brings you to the final answer of 11 2/4 teaspoons or if you simplify it.... 11 1/2 teaspoons
Simplify the expression -2(3x + x)
Answers
Answer:
-8x
Step-by-step explanation:
Multiply what's in the parentheses.
evaluate (-1/3)x2/5x(-9)
Answers
Answer:
1.2
Let me know if you want me to explain it. :)
Answer:
(-1/3x5/2x(-9)
need help simplifying please.
Answers
Answer:
14x² + 7y - 22
Step-by-step explanation:
Combine like terms.
5x² - 6y - 22 + 13y + 9x²
5x² + 9x² = 14x²
-6y + 13y = 7y
Reorder the terms.
14x² + 7y - 22
Hope that helps.
Choose a number that will produce an irrational answer when added to 7/8. PLEASE HELP ITS DUE AT MIDNIGHT.
Answers
Answer:
√7
Step-by-step explanation:
2/5, 0.404040 and 0.286 are all rational as they all can be expressed in fraction form (0.4040 can be expressed as 40/99 and 0.286 as 286/1000 (can simplify but I didn't)) sqrt7 is the only irrational number.
One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?
Answers
Answer:
[tex] \dfrac{580}{9} [/tex]
Step-by-step explanation:
[tex] \dfrac{1}{5}x + \dfrac{1}{4}x = 29 [/tex]
[tex] \dfrac{4}{20}x + \dfrac{5}{20}x = 29 [/tex]
[tex] \dfrac{9}{20}x = 29 [/tex]
[tex] x = 29 \times \dfrac{20}{9} [/tex]
[tex] x = \dfrac{580}{9} [/tex]
Answer: [tex] \dfrac{580}{9} [/tex]
A computer store bought a program at a cost of $20 and sold it at a selling price of $23
Find the percent markup.
Answers
Answer:
15% markup
Step-by-step explanation:
5% markup would be $1. Since 20*5% or 20*.05=1
We can multiply it by 3 to find the percent for $3 markup. Which is 15% or 0.15
38,477 rounded to the nearest thousand
Answers
Answer: i'm pretty sure it's 38,500
Step-by-step explanation:
A racecar driver is doing a time trial of a new car on a straight back. The car's distance from the timekeeper is represented by y=293x+50 where x is time in seconds and y is the distance from the timekeeper's position. How many feet from the timekeeper is the race car at the beginning?
Answers
Answer:
50 feet
Step-by-step explanation:
The car's distance from the timekeeper us given by :
y = 293x+50
Where x is time in seconds and y is the distance from the timekeeper's position.
The general equation of a line is given by :
y = mx +c
On comparing, we get : c = 50
It means the timekeeper has covered 50 feets at the beginning.
Which decimal is less 17.149 or 17.49
Answers
Answer:
17.149
Step-by-step explanation:
Evaluate
(0.3)*4= plplpl
Answers
Answer:
1.2
Step-by-step explanation:
0.3 * 4
= 3 * 0.1 * 4
= 3 * 4 * 0.1
= 12 * 0.1
= 1.2
The sum of two numbers is -124. one number is 22 less than the other. Find the numbers
Answers
Answer: -51 and -73
Step-by-step explanation:
Let the first number be x.
Let the second number be x-22.
Since the sum of two numbers is -124, this means that:
x + x - 22 = -124
2x - 22 = -124
2x = -124 + 22
2x = -102
x = -102/2
x = -51
Since the second number is x - 22. This will be:
= x - 22
= -51 - 22
= -73
The numbers are -51 and -73
Which graph represents the equation y = x-3?
Answers
Answer:
The first
Step-by-step explanation:
The intercept is a negative so the line will be going the opposite way
Answer:
c
Step-by-step explanation:
The equation shows that there is a positive slope of 1 and a y-intercept of -3. The only graph that shows those characteristics is c.
HELP ME!!!!
At the soccer party, each player will get 3 of a pizza. If 24 come, how many pizzas are needed?
A 72 pizzas
B 7 pizzas with leftovers
C 8.33 pizzas
D 8 pizzas
Answers
Answer:
D 8 pizzas
Step-by-step explanation:
If 200 men can make an embankment 3km long in 25 days, how much overtime per day must 60 men work to complete an embankment 2km long in 32 days, 12 hours being a day's work?
Answers
Answer:
Each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.
Step-by-step explanation:
If 200 men can make a 3 km long embankment in 25 days, their work day being 12 hours, to determine the amount of work that each one does, the following calculation must be made, taking into account that 3 km is the same at 3,000 meters:
3000/25 = 120 meters per day
120/200 = 0.6 meters per day per man
0.6 / 12 = 0.05 meters per hour worked per man
Therefore, to determine the extra work time that 60 men should carry out, if they wanted to complete a 2 km long embankment in 32 days, the following calculation should be performed:
2000/32 = 62.5 meters per day
62.5 / 60 = 1.04 meters per day per man
1.04 / 12 = 0.08 meters per hour worked per man
Therefore, that difference of 0.03 meters must be taken into account to determine the extra time of work that these men must carry out, carrying out the following cross multiplication:
0.05 = 12
0.08 = X
((0.08 x 12) / 0.05) = X
(0.96 / 0.05) = X
19.2 = X
Therefore, each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.
Which statement is true?
A) | -2.1| = -2.1
B) |2.1| = -2.1
C)|2.1| = -2.1
D) | - 2.1| = |-2.1|
Answers
15. Find four consecutive integers whose sum is 30.
Answers
Answer:
6+7+8+9 = 30
Step-by-step explanation:
4 consecutive integers that equal 30 are 6, 7, 8, and 9.
They all add up to 30.
hope this helps!
have an amazing day :-)
cup of oil.
A recipe for one batch of cookies uses 2/3
Edward has 1 1/4 cups of oil.
Does he have enough oil to make 2 batches of cookies?
Answers
Answer:
Yes he does
Step-by-step explanation:
that would be 4/3
4/3 < 1 1/4
Hold on, our servers are swamped. Wait for your answer to fully load.
Answer:
2 + 2 =
1
1
3 3
3
23+23 is
greater than
114.
So Edward
does not
have enough oil to make 2 batches of cookies.
Step-by-step explanation: