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3 years ago

Part A

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Answer:

a) The y-intercept is 160. It represents the initial distance Jayden was from his home.

b) The x-intercept is 4. It represents the amount of time taken for Jayden to reach his home.

Step-by-step explanation:

The y-intercept can be found by looking at the value of y when x=0. When x=0, y= 160. Since the x-axis is the amount of time in hours, x=0 would mean the initial time. The x-axis is the number of miles from Jayden's home thus, Jayden was 160 miles away from his home when x=0 hours.

The x-intercept can be found by looking at the x value when y=0. When y=0, x=4. This means that it took Jayden 4 hours to reach home or 4 hours to travel 160miles to his house.

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Drag expressions to show the steps to create an equivalent expression using only positive exponents. Let g and h be two nonzero

Liula [17]

Equivalent expressions are expressions that have the same value.

The equivalent expression of $g^{-3}h$ is: $\frac{h}{g^3}$

The expression is given as;

$g^{-3}h$

Apply law of indices to change the exponents

$g^{-3}h = \frac{1}{g^3}h$

Express as products

$g^{-3}h = \frac{1}{g^3} \times h$

Rewrite as

$g^{-3}h = \frac{h}{g^3}$

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3 years ago

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Mkey [24]

Answer:

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3 years ago

Help! I already tried -6.6/20

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Answer: 0.33 or 1.32 or 6.6%

Step-by-step explanation:

4 0

4 years ago

Solve this problem by using variation of parameters method.<br> y''-y=coshx.

Gekata [30.6K]

$y''-y=0\implies r^2-1=0\implies r=\pm1$
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For the nonhomogeneous ODE

$y''-y=\underbrace{\cosh x}_{f(x)}$

we're looking for a particular solution of the form

$y_p=u_1y_1+u_2y_2$

where

$u_1=-\displaystyle\int\frac{y_2(x)f(x)}{W(y_1(x),y_2(x))}\,\mathrm dx$
$u_2=\displaystyle\int\frac{y_1(x)f(x)}{W(y_1(x),y_2(x))}\,\mathrm dx$

and $W(y_1,y_2)$ is the Wronskian of the two fundamental solutions.

We have

$W(y_1,y_2)=\begin{vmatrix}\cosh x&\sinh x\\\sinh x&\cosh x\end{vmatrix}=\cosh^2x-\sinh^2x=1$

so we're left with

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3 0

3 years ago

Please help !!!! I’m desperate people.

Julli [10]

Answer:

I believe the answers are a and e.

Step-by-step explanation:

Let me know if you want an explanation.

Hope this helps!!!

8 0

2 years ago