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Viktor [21]
3 years ago
8

On a piano achievement test, the final score is made up of 65% performance, 30% sight reading, and 5% written theory. John earne

d an average score of 75 on performance, 90 on sight reading, and 100 on written theory. What was John's final score for the piano achievement test? Enter your answer as a decimal in the box.
Mathematics
1 answer:
kap26 [50]3 years ago
6 0
It's 80.75 for the answer!
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In the equation below, what is the value of b? 4(x-2)^2-7=ax^2+bx+c
Finger [1]
We have 4(x^2 - 2x + 4) - 7 = 4x^2 - 8x + 16 - 7 = 4x^2 - 8x + 9;
So, 4x^2 - 8x + 9 = <span>ax^2+bx+c ;
The value of b is -8.</span>
4 0
3 years ago
Could someone explain this to me?
nignag [31]

The rule of the function g (x) will be;

⇒ g (x) = - x + 3

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

g (x) is the indicated transformation of f (x).

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Now,

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Since, g (x) is the indicated transformation of f (x).

So, g (x) = f (x + 2)

Hence, We get;

g (x) = - (x + 2) + 5

      = - x - 2 + 5

      = - x + 3

Thus, The rule of the function g (x) will be;

⇒ g (x) = - x + 3

Learn more about the transformation visit:

brainly.com/question/1620969

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8 0
1 year ago
Analyze Relationships Julio and Jake reading assignments the same day Jake is reading a 168-page book at a rate of 24 pages per
lukranit [14]
24×1 1/4 is 30
Jake reads 24 per day
24×5=121
168-121=47
Julio reads 30 per day
30×5=150
180-150=30
Jake will have 17 more pages left to read than Julio.
5 0
3 years ago
Simplify Negative 15.6 divided by negative 4.
masha68 [24]
Simplify:

-15.6/-4

( \frac{-15.6}{-4} )

Divide to solve:

You get 3.9

3 0
3 years ago
If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.
Pie
Given that f^{(n)}(0)=(n+1)!, we have for f(x) the Taylor series expansion about 0 as

f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n

Replace n+1 with n, so that the series is equivalent to

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}

and notice that

\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}

Recall that for |x|, we have

\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}

which means

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}
\implies f(x)=\dfrac1{(1-x)^2}
5 0
3 years ago
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