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1 year ago

Which of the following expressions are equivalent to -2(5 - 3)

Mathematics

2 answers:

posledela1 year ago

5 0

-2(5-3)
= (-2 x 5)+(-2 x -3)
= -10+6
=-4

Vlad [161]1 year ago

4 0

Answer: -4

Step-by-step explanation:

No options were provided, but i'll simplify this expression.

*the number being NEXT to the parenthesis indicates that you have to multiply.

This expression involves the distributive property. This is when you have a number followed by an equation in parenthesis, like 2(3+1). To solve it, you multiply the number outside of the parenthesis by <u>each number</u> inside them.

-2(5-3)

-2(5) - -2(3)

-10 + 6

-4

So -2(5-3) simplifies to -4. I hope this could help!!

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2 years ago

(a) Use a linear approximation to estimate f(0.9) and f(1.1). f(0.9) ≈ f(1.1) ≈ (b) Are your estimates in part (a) too large or

olasank [31]

Answer:

(Missing part of the question is attached)

$L(x)=2x+3$

Estimates are too large.

Step-by-step explanation:

Suppose the only information we know about the function is:

$f(1)=5$

where the graph of its derivative is shown in the attachment

If the function $f\\$ is differentiable at point $x=1$ , the tangent line to the graph of $f$ at 1 is given by the equation:

$y=f(1) +f'(1)(x-1)$

So we call the linear function:

$L(x)=f(1) +f'(1)(x-1)$

We know the $f(1)=5$ as it is given in the question, and $f'(1)=2$ from the graph attached. Substitute in the equation of $L(x)$ .

$L(x)=5+2(x-1)\\L(x)=5+2x-2\\L(x)=2x+3\\$

At x=1, $f'(x)$ is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve $f$ . Thus, The estimates are too large.