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borishaifa [10]
3 years ago
12

What is the best answer to solution of x^2 + 16 = 0?​

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

4. C. x = 4 or -4

Step-by-step explanation:

since both terms are perfect squares, factor using the difference of squares formula, a² - b² = ( a + b )  ( \alpha - b ) where

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In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal
OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0
2 years ago
Light bulbs cost £2.30 each. Yasmin buys as many as she can with £20. How much change should she get? Give your answer in pounds
djyliett [7]

Answer:

£1.6

Step-by-step explanation:

£20 ÷ £2.3= 8 remainder 1.6

change= £1.6

6 0
3 years ago
Read 2 more answers
Section a of a theater contains 12 rows of 15 seats each section b contains only 10 rows but had the same number of seats as sec
yuradex [85]

Answer:

15 seats

Step-by-step explanation:

It is given that section A of a theater contains 12 rows of 15 seats each.

Now, it is also given that section B contains only 10 rows it has an equal number of seats the same as section A.

As the number of seats in each row of section A is 15, so, the number of seats in each row of section B will be 15 and the same as section A. (Answer)

8 0
3 years ago
Erin is making fruit salad.For each bowl of fruit salad,she needs 2/3 cup of strawberries.How many cups will she use if she make
grigory [225]
She needs 18 times of 2/3 cup, this is

18\cdot \frac{2}{3}=12 cups
5 0
3 years ago
Read 2 more answers
use algebraic manipulation to find the minimum sum-of-products expression for the function x1x2'x3' + x1x2x4+x1x2'x3x4'
Dennis_Churaev [7]

Answer:

sum of products expression = x₁x₂x₃'  +  x₁x₂'x₄  + x₁x₂x₄

Step-by-step explanation:

Given function ( f ) = x₁x₂'x₃'  +  x₁x₂x₄ + x₁x₂'x₃x₄'

using algebraic manipulation

f = x₁ [ x₂'x₃'  +  x₂x₄ + x₂'x₃x₄' ]

 =  x₁ [ x₂'( x₃' + x₃x₄') +  x₂x₄  ]

next apply Boolean rules

a + bc = ( a + b )(a + c )

a' + a =1

hence

minimum sum-of-products expression = x₁x₂x₃'  +  x₁x₂'x₄  + x₁x₂x₄

7 0
3 years ago
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