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viva [34]
3 years ago
12

Find a positive real number such that its square is equal to 10 times the number, increased by 24.

Mathematics
1 answer:
defon3 years ago
8 0

Answer:


Step-by-step explanation:

n^2 - 3n - 418 = 0

(n-22)(n+19) = 0, positive real number is 22

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Since the smaller one is 1/2 the size (as shown in the measurement on the bottom) I would divide the other area by 2 as well, so the answer is 12 I believe
7 0
3 years ago
Roberto purchased airline tickets for his family. The tickets cost $1,250. The airline also charged a luggage fee, bringing the
AysviL [449]

Answer: The answer is 12%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help!! :) Thank you!
Klio2033 [76]

Let's complete the square

f(x) = x^2 + 6x + 8

y = x^2 + 6x + 8

y-8 = x^2 + 6x

y-8+9 = x^2+6x+9 .... see note below

y+1 = (x+3)^2

y = (x+3)^2-1

note: I added 9 to both sides due to taking half of the 6, and then squaring that result.

We'll restrict x such that x \ge -3 to ensure that this function is one-to-one.

Now we need to swap x and y, and solve for y to get the inverse

y = (x+3)^2 - 1

x = (y+3)^2 - 1

x+1 = (y+3)^2

(y+3)^2 = x+1

y+3 = sqrt(x+1)

y = sqrt(x+1)-3

g(x) = sqrt(x+1)-3     is the inverse

The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.

4 0
3 years ago
thare are 7/8 kilograms of salt in the kitchen . mrs. lopez used 7/15 of the salt when she was preparing dinner. how much salt d
ipn [44]

Answer: 49/120kg

Step-by-step explanation:

7/8•7/15 = 49/120

8 0
3 years ago
What is the surface area to volume ratio of a 5 cm cube?
joja [24]
Answer: 6/5

Explanation:
Given: 5cm cube
This means each side is 5 cm because a cube has equal sides.

Area of a square is length times width so area of 1 side of a cube:
= 5 x 5
= 25

Surface area is the area of one side of a cube times the number of sides. Now, how many sides does a cube have? 6
= 25 x 6
= 150

Surface area of a 5cm cube = 150

Volume is length times width times height:
= 5 x 5 x 5
= 125

Ratio of surface area to volume:
= 150/125
= 6/5
6 0
3 years ago
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