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dybincka [34]
2 years ago
14

Describe how [2^3][2^-4] can be simplified

Mathematics
1 answer:
Damm [24]2 years ago
4 0

Answer:

½ or 0.5

Explanation:

Remove the brackets: \bold{2^{3}  \ \times \ 2^-4}

2³: 8

\bold{2^-4: \ \frac{1}{16}  } (Turn the fraction into a decimal to make the equation easier)

1 ÷ 16 = 0.0625

Multiply

8 · 0.0625 = 0.5 or ½

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What is 4 multiplied by 5 7/9 as a mixed number or fraction
Andrei [34K]
The answer is 23 and 1÷9

First you multiply 4 by 5 and wind up with 20
Then you multiply four by 7÷9.
That gets you 28÷9
You take out all the nines you can from 28, three in this case.
That gets you 27÷9 + 1÷9
Your total thing is 20+27÷9+1÷9
That equals 20+3+1÷9
That equals 23 and 1÷9
8 0
3 years ago
Write a quadratic function in standard form with zeros 1 and -10
Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

<u>Standard Form of Quadratic Function</u>

The standard form of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

The factored form of a quadratic equation is:

f(x)=a(x-\alpha)(x-\beta)

Where \alpha and \beta are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

f(x)=a(x-1)(x-(-10))

f(x)=a(x-1)(x+10)

Operating:

f(x)=a(x^2+10x-x-10)

Joining like terms:

f(x)=a(x^2+9x-10)

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

\boxed{f(x)=x^2+9x-10}

6 0
3 years ago
Which graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a v-shaped g
irina [24]

Answer:

the answer is graph B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Show work. This is a BC calculus problem.
stepan [7]

Answer:

D.

Step-by-step explanation:

Remember that the limit definition of a derivative at a point is:

\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}

Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:

\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}

Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).

The answer will thus be D.

5 0
2 years ago
The city airport and the train station are 45 miles apart. there are 9 gas stations equally spaced between the airport and train
Zielflug [23.3K]

The distance between the two adjacent gas stations will be 5 miles.

<h3>What is the difference between a ratio and a proportion?</h3>

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Distance between city airport and the train station = 45 miles

Stations equally spaced between the airport and train station=9

Let the space between two gas stations will be x;

x = 45/9

x=5 mile.

Hence, the distance between the two adjacent gas stations will be 5 miles.

To learn more about the ratio, refer to the link;

brainly.com/question/14335762

#SPJ1

6 0
2 years ago
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