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2 years ago

13

Multiply. 0.311 x 4.2 OA. 0.1866 OB. 1.3062 OC. 13.062 OD. 186.6

1 answer:

Sever21 [200]2 years ago

4 0

Answer: 1.3062

Step-by-step explanation:

0.311 * 4.2 = 1.3062

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Why does multiplying the input of a linear function change

sergiy2304 [10]

Answer:

Step-by-step explanation:

If we have a linear function and we multiply the input of the function, we aren't really <em>changing</em> the values of the function, we're changing the rate at which those values are reached.

E.g. if you look at the attached picture, we have $f(x) = 2x$ and $f_2(x) = 4x$ , which is just $f(2x)$ . The value when the red line is x = 1 is half that of the value of the blue line when x = 1.

The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.

If you're interested in the calculus behind this, look up the chain rule of derivatives.

However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.

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3 years ago

List any two features of a 401(k) retirement plan.

Aleksandr [31]

Easy Engagement and Value

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3 years ago

Read 2 more answers

Shelly is making a pancake recipe that calls for 1/4 cup of oatmeal for every 3/4 cup of flower. How much flour will Shelley nee

umka2103 [35]

Answer:

she would use the 3/4 cups of flour 6 times, so 3/4*6 = 9/2 or 4.5

OR <u>4 1/2</u>, 4 cups and a half of flour.

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3 years ago

Can someone please help me with my Question #29 of The Quadratic Relations for me please?

lara [203]

Answer:

Calculate the <u>first differences</u> between the y-values:

$\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19$

As the first differences are <u>not the same</u>, we need to calculate the <u>second differences</u>:

$\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7$

As the second differences are the <u>same</u>, the relationship between the variable is quadratic and will contain an $x^2$ term.

--------------------------------------------------------------------------------------------------

<u>To determine the quadratic equation</u>

The coefficient of $x^2$ is always <u>half</u> of the <u>second difference</u>.

As the second difference is 2, and half of 2 is 1, the coefficient of $x^2$ is 1.

The standard form of a quadratic equation is: $y=ax^2+bx+c$

(where a, b and c are constants to be found).

We have already determined that the coefficient of $x^2$ is 1.

Therefore, a = 1

From the given table, when $x=0$ , $y=12$ .

$\implies a(0)^2+b(0)+c=12$

$\implies c=12$

Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:

$\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}$

Therefore, the quadratic equation for the given ordered pairs is:

$y=x^2+6x+12$

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2 years ago

What value(s) of x will make x^2=25 true

lora16 [44]

Answer:

5 and up

Step-by-step explanation:

5^2=25

thus

25=25

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3 years ago