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nikitadnepr [17]
3 years ago
15

Pls help will give brainiest

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

0.75

Step-by-step explanation:

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Define a variable and write an expression for the prhase. The quotient of 6 times a number and 16
Mariana [72]

Let x be the unknown number. This means that "six times a number" becomes 6x. Finally, we want to compute the quotient between this quantity and 16, which leads to

\dfrac{6x}{16}

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4 years ago
Use the drop-down menus to complete the solution to the equation cosine (startfraction pi over 2 endfraction minus x) = startfra
Lilit [14]

Use the drop-down menus to complete the solution to the equation cosine (start fraction pi over 2 end fraction minus x) = start fraction start root 3 end root over 2 end fraction for all possible values of x on the interval [0, 2pi].

Using trigonometric identities, the solution to the equation cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2} for all possible values of x on the interval [0, 2π].

What are trigonometric identities?

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2}  \\\\cos(x)cos\frac{\pi }{2}+sin(x)sin \frac{\pi }{2} = \frac{\sqrt{3} }{2}\\\\cos(x)(0)+sin(x)(1) = \frac{\sqrt{3} }{2}\\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3}, \frac{2\pi }{3}

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6 0
1 year ago
Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 7x − 5x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, a
Margaret [11]

Answer:

Therefore the solution is = k{-7,5,1} where k ∈R

Step-by-step explanation:

Given that,

f₁(x) =x

f₂(x)= x²

f₃(x)= 7x - 5x²

Also,

g(x) = c₁f₁(x)+c₂f₂(x)+c₃f₃(x)

Putting the values of f₁(x), f₂(x) and f₃(x).

g(x) = c₁.x+c₂x²+c₃(7x-5x²)

Given condition that g(x)= 0

∴ c₁.x+c₂x²+c₃(7x-5x²)=0

⇒(c₁+7c₃)x +(c₂-5c₃)x² = 0

Comparing the coefficients of x and x²

∴c₁+7c₃=0               and       c₂-5c₃ =0

\Rightarrow c_1 =-7c_3                     \Rightarrow c_2=5c_3

Let c₃= k   [k∈R]  

Then c₁ = -7k   and   c₂=5k

Therefore the solution is = { c₁,c₂,c₃}  

                                           = {-7k, 5k, k}

                                            =k{-7,5,1}

5 0
3 years ago
A strawberry cake recipe need w eggs for every 200g of flour. How many eggs are needed for 1000g of flour
tiny-mole [99]

Answer:

5w eggs

Step-by-step explanation:

200 * 5 = 1000

so if w eggs are needed for 200 g of flour

then 5 * w eggs are needed for 200 * 5 = 1000 g of flour

5 0
3 years ago
Read 2 more answers
Which of the following is the solution of –6x – 17 = 19?
Ostrovityanka [42]
-6x=19+17
-6x=36 /(-6)
x=-6
4 0
4 years ago
Read 2 more answers
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