1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
forsale [732]
3 years ago
9

For what values of x is x2 + 2x = 24 true?

Mathematics
2 answers:
Sophie [7]3 years ago
8 0

x^2 + 2x = 24\\x^2+2x+1=25\\(x+1)^2=25\\x+1=5 \vee x+1=-5\\\x=4 \vee x=-6

Dennis_Churaev [7]3 years ago
4 0

Answer:

x = - 6, x = 4

Step-by-step explanation:

Given

x² + 2x = 24 ( subtract 24 from both sides )

x² + 2x - 24 = 0

To factorise the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)

The factors are + 6 and - 4, since

6 × - 4 = - 24 and 6 - 4 = + 2, hence

(x + 6)(x - 4) = 0

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 4 = 0 ⇒ x = 4

You might be interested in
Alan Lewis purchased a new computer for is office using the store's installment credit plan. The computer cost $5,991.64. What a
Alla [95]
The answer is $3594.98
5 0
3 years ago
Is 5 5/6 + 1 3/4=5 1/12 reasonable
ira [324]

Answer:

No, it is unreasonable.

Step-by-step explanation:

5/5/6+1/3/4=35/6+7/4

=70/12+21/12

=91/12

=7 7/12

4 0
2 years ago
Find the unit rate. Round to the nearest hundredth, If necessary.<br> $290 for 12ft
9966 [12]

Answer:

24.17

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Lisa sold $75 worth of play tickets.Adult tickets cost $4 each and children’s ticket cost $4 each.How many children’s tickets co
Helga [31]
Yes, there are many possible answers. An equation that can model your situation is:
4a+4b=75, with a being the amount of adult tickets sold, and b being the amount of children’s tickets sold.
Because both tickets cost 4 dollars, you would multiply the amount of tickets sold, by the price (in dollars) of the ticket.
So, you can find possible answers by substituting the amount of adult tickets sold. Say, 4 adults bought tickets. You could then substitute a for 4. So the equation would look like this.
4(4)+4b=75
16 + 4b = 75
4b = 75 - 16
4b = 59
Divide each side by four
B = 14.75

The reason you got a decimal number is because 75 cannot be divided by 4 evenly. So, in this context, you could say that 15 children bought tickets. One child had an issue, and Lisa gave them a 25% discount. This would explain why there are only 75 dollars worth in tickets. I hope I helped, this is my first question I have ever answered so I’m not entirely sure if this was helpful or not. Hope you figure this out!
3 0
3 years ago
A=1/2bh. A=200ft. H=10. What is b
Svetllana [295]

Answer:

B= \frac{2A}{H}

Step-by-step explanation:

If you noticed, A= \frac{1}{2}BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2.   2(A)=2(\frac{1}{2}BH).    On the left, you have 2×A= On the right side, you have     2(\frac{1}{2}BH),     but since you have a number in the equation, you will only use 2×\frac{1}{2}. To solve  2×\frac{1}{2}, you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.

(Your new equation looks like this by the way).    2A=BH

Since you need to get B by its self, the way to clear the H away from the B is by dividing.  You will now divide the B and H aswell as 2A and H. (It will look like this) \frac{2A}{H} = \frac{BxH}{H} . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with \frac{2A}{H} = B. Now you can turn it around for your final answer. B= \frac{2A}{H}.

Please let me know if i helped, how I did, and if you have any questions.

3 0
3 years ago
Other questions:
  • It takes Jesse 2/3 hour to mow her backyard. How much of the yard will be mowed after 1/4 hour?
    6·2 answers
  • 6 millimeters equal feet
    9·1 answer
  • Point A, coordinates (4,3), is reflected onto its image Point A', coordinates (4,-5). Determine the line of reflection.
    13·1 answer
  • Theo's mom brought an eight pack of juice boxes at the store for $4 find the unit rate for the juice boxes
    6·1 answer
  • A line and two points are guaranteed to be coplanar if:
    12·1 answer
  • If -7(y-3)=-14 what is the value of y
    9·2 answers
  • Please can somebody help me please
    5·2 answers
  • 12 + z = 15<br><br> Does anyone know thisplease
    13·1 answer
  • A. 34/149<br> b. 15/49<br> c. 18/52<br> d. 37/149
    5·2 answers
  • The perimeter of a notebook is 40 inches. The area is 100 square inches. What are the dimensions of the notebook?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!