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il63 [147K]
3 years ago
9

qrt{1.21} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

The given expression is:

10-3\sqrt{1.21}

Now, we know that the square of 1.1 is 1.21, which means that 1.1 multiplied by itself gives 1.21.

Mathematically, that can be expressed as:

1.1\times 1.1=1.21

or, (1.1)^2=1.21

thus, the square root of 1.21 is 1.1

or \sqrt{1.21}=1.1

Thus, applying this in the expression in the question given to us, we will get:

10-3\sqrt{1.21}=10-3\times 1.1=10-3.3=6.7

Thus, 6.7 is the final answer for the given expression.

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Simplify the given expression below: (−3 + 2i) ⋅ (2 + i)
alina1380 [7]
The answer is : -8 + i
6 0
3 years ago
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
Llana [10]

Answer:

  h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

__

<h3>f(x)</h3>

The equation is written in vertex form:

  f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

  f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

__

<h3>g(x)</h3>

The given equation can be written in vertex form:

  g(x) = 5x² -10x +7

  g(x) = 5(x² -2x) +7

  g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

  g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

__

<h3>h(x)</h3>

Your problem statement tells us ...

  h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

__

<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0
2 years ago
You have 1300 dollars to invest on mugs. Each mug is 2 dollars each after you put the logo you resell it for 7. Find the equatio
VashaNatasha [74]

Answer:

2-1300+7m

Step-by-step explanation:

m=mugs

8 0
3 years ago
11. If f(x)=4x-9, what is the equation for f^-1(x)?
FrozenT [24]
F(x) = 4x - 9

let f(x) = y, this implies that  x = f⁻¹(y)

y = 4x - 9           Let us solve for x.

4x - 9 = y

4x = y + 9

x = (y + 9)/4

Recall that x = f⁻¹(y),

x = (y + 9)/4

f⁻¹(y) = (y + 9)/4

That means that for f⁻¹(x)

f⁻¹(x) = (x + 9)/4

Hope this explains it.
3 0
3 years ago
Which of the following parabolas opens upward and appears narrower than y = −3x^2 + 2x − 1? A. y = 4x^2 − 2x − 1 B. y = −4x^2 +
Kamila [148]
Narrowing it down it's either a or c because the other 2 choices open downward (negative a).
Graphing the 2 parabolas choice c is narrower.
c
7 0
3 years ago
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