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Ludmilka [50]
2 years ago
7

Which of the following speeds will produce lowest miles per gallon?

Mathematics
2 answers:
Pepsi [2]2 years ago
6 0

Answer: B. 105 mph

Step-by-step explanation:

vlada-n [284]2 years ago
3 0

Answer:

trust me (D) is the correct answer can you mark b please thank you

Step-by-step explanation:

I hope it help you lot see you around

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Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 4, and zeros 3-i and 4i.
Alisiya [41]

now, this polynomial has roots of 3-i and 4i, namely 3 - i and 0 + 4i.

let's bear in mind that a complex root never comes all by her lonesome, her sibling is always with her, the conjugate, so if 3 - i is there, 3 + i is also coming along, likewise if 0 + 4i is there, her sibling 0 - 4i is also there.

\bf \begin{cases} x=3-i\implies &x-3+i=0\\ x=3+i\implies &x-3-i=0\\ x=4i\implies &x-4i=0\\ x=-4i\implies &x+4i=0 \end{cases}\\\\[-0.35em] ~\dotfill\\\\ (x-3+i)(x-3-i)(x-4i)(x+4i)=\stackrel{y}{0} \\[2em] \underset{\textit{difference of squares}}{[(x-3)+i][(x-3)-i]}\underset{\textit{difference of squares}}{[x-4i][x+4i]}=0

\bf [(x-3)^2-i^2][x^2-(4i)^2]=y\implies [(x-3)^2-(-1)][x^2-(4^2i^2)]=0 \\[2em] [(x-3)^2-(-1)][x^2-(16(-1))]=0\implies [(x-3)^2+1][x^2+16]=0 \\[2em] [(x^2-6x+9)+1][x^2+16]=y\implies (x^2-6x+10)(x^2+16)=0 \\\\\\ x^4-6x^3+10x^2+16x^2-96x+160=0 \\\\\\ x^4-6x^3+26x^2-96x+160=0 \\\\\\ \stackrel{\textit{multiplying both sides by 4}}{4(x^4-6x^3+26x^2-96x+160)=4(0)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 4x^4-24x^3+104x^2-384x+640=y~\hfill

3 0
3 years ago
I bought a piggy bank for $5.65. I paid with $10. How much change did I get? pls help i am timed!!!!!!!!! U will be marked brain
ipn [44]

Answer:

4.35

Step-by-step explanation:

3 0
3 years ago
In triangle ABC, angle A = 2x°, angle B = (x-45)° and angle C = (x-15)°.
Lelechka [254]
Sum\ of\ angles\ in\ triangle\ is\ equal\ to\ 180^{\circ}\\\\
To\ find\ x\ sum\ all\ angles:\\
2x+x-45+x-15=180\\\\
4x-60=180\ \ \ |Add\ 60\\\\
4x=60+180\\\\
4x=240\ \ \ |Divided\ by\ 4\\\\
x=60^{\circ}\\\\
\angle \  A=2x=2*60=120^{\circ}\\
\angle\ B=x-45=60-45=15^{\circ}\\
\angle\ C=x-15=60-15=45^{\circ}\\\\Triangle\ is\ \textbf{obtuse}.
5 0
2 years ago
8. what is the volume of these 5 objects
wel

Answer:

1) B

Step-by-step explanation:

To get the volume of a cube, you multiply the length, width and height together. 4 x 7 x 8 = 224. 8 × 5 × 6 = 240. This means that chocolate box B has the larger volume.

6 0
3 years ago
What is the end behavior of the function f of x equals negative 4 times the cube root of x?
vampirchik [111]

The function f(x) = 4\sqrt[3]{x} is a cube root function

The function end behavior is:

\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty

<h3>How to determine the end behavior?</h3>

The equation of the function is given as:

f(x) = 4\sqrt[3]{x}

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty

Read more about function end behavior at:

brainly.com/question/23968442

8 0
2 years ago
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