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Deffense [45]
3 years ago
5

The square of a positive number increased by twice the number equals three. Find the number

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

1

Step-by-step explanation:

Let the number be x

x² + 2x = 3

x² + 2x - 3 = 0

Product  = -3

Sum =2

Factors = 3 * (-1)

x² + 3x - x - 3 = 0

x*(x+3) - (x + 3) = 0

(x + 3)(x - 1) = 0

Ignore x + 3 because the number is a positive number

x - 1 = 0

x = 1

The number is 1

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What is the vertical asymptote of this function?
liraira [26]

Answer:

D

Step-by-step explanation:

If y = log x is the basic function, let's see the transformation rule(s):

Then,

1. y = log (x-a) is the original shifted a units to the right.

2. y = log x + b is the original shifted b units up

Hence, from the equation, we can say that this graph is:

** 2 units shifted right (with respect to original), and

** 10 units shifted up (with respect to original)

<u><em>only, left or right shift affects vertical asymptotes.</em></u>

Since, the graph of y = log x has x = 0 as the vertical asymptote and the transformed graph is shifted 2 units right (to x = 2), x = 2 is the new vertical asymptote.

Answer choice D is right.

7 0
3 years ago
A square with side lengths of 3 cm is reflected vertically over a horizontal line of reflection that is 2 cm below the bottom ed
oksian1 [2.3K]

Answer:

a) 4 cm

b) 5 cm

c) 10 cm

Step-by-step explanation:

The side lengths of the reflected square are equal to the original, and the distance from the axis(2) also remains the same.  From there, it is just addition.

Hope it helps <3

5 0
3 years ago
Can anyone explain how to do any of this?
pashok25 [27]

Answer:

qn 10. 15mn² - 23m²n +4m³

Step-by-step explanation:

1. distribute 4m through the parenthesis

8mn² - 12m²n + 4m³ - 2n(5m² - 3nm) + nm(n-m)

2. use the commutative property to reorder the terms

8mn² - 12m²n + 4m³ - 2n(5m² - 3mn) + mn(n - m)

3. distribute -2n through the remaining parenthesis

8mn² - 12m²n + 4m³ -10m²n + 6mn² + mn² - m²n

4. collect like terms

8mn² + 6mn² + mn² - 12m²n - 10m²n - m²n + 4m³

5. complete bodmas

15mn² - 23m²n +4m³

that's is how you do it so the answer is

15mn² -23m²n + 4m³

5 0
3 years ago
____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three​
Pavlova-9 [17]
278, 538 is the answer
3 0
3 years ago
Read 2 more answers
Elijah went to the store to buy some coffee. The price per pound of the coffee is $6.75 per pound and he has a coupon for $1.25
Alex Ar [27]

Answer:

He would have to pay $25.75

c=6.75p-1.25

C is cost, p is pounds

6.75 per pound minus 1.25 with the coupon and you get the cost.

7 0
3 years ago
Read 2 more answers
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