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3 years ago

Plz answer this question and I will mark you as brainliest

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Answer: 3/8

Step-by-step explanation:

When you subtract fractions, you want them to have a common denominator.

$\frac{36}{24}-\frac{27}{24} =\frac{9}{24}$

This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.

$\frac{9}{24} =\frac{3}{8}$

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If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.

Therefore, the right answer is b. f(x) = 1/2(x + 11)^2 - 5

SECOND.

Translating 8 units to the right:

$g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2$

Then translating 1 unit down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1$

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.

Therefore, the right answer is a. g(x) = 1/3(x - 8)^2 - 1

7 0

3 years ago

Need help with this question regarding functions. :)

Tanzania [10]

The Y-intercept is found when X is equal to 0.

In the table, when X is 0, f(x) is 1.

On the graph, when X is 0 the line crosses at Y = 1.

This means that they are equal.

The answer would be equal to.

4 0

3 years ago

Calculate the simple interest earned on an investment of $26,000 at 8% p.a. Over 3 years.

Annette [7]

I=prt
I=26,000×0.08×3
I=6,240

6 0

3 years ago

Jonas savings increase by 0.15% in one month. Write 0.15% as a decimal and fraction in simplest form

Vilka [71]

0.15 as a decimal, and 3/20 as a fraction

3 0

3 years ago

-30<x/-4 answer must be simplified

Shtirlitz [24]

Answer:

x<120

Step-by-step explanation:

-30<x/-4

In order to simplify this, we must isolate the x value by multiplying both sides by -4

Since we are dealing with inequalities and we are multiplying by a negative number, we have to switch the sign (<,>)

-30(-4)>x

x<120

6 0

3 years ago