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3 years ago

Car Travels

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

125=50(t)
Divide both sides by 50
t=2.5 hours

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What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
${x}^{2}.$

Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
or

${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
$x = \pm3 \: or \: x = \pm2$

$x=-3,-2,2,3$

The correct answer is A

5 0

3 years ago

Read 2 more answers

What’s the perimeter of a rectangle with length x and width x-5

MrMuchimi

Answer:

$P = 2(x + x - 5) = 2x - 10$

Step-by-step explanation:

Formula for the perimeter of a rectangle: $P = 3(l + L)$

7 0

3 years ago

A line in the xy-plane that passes through the coordinate points (3, -6) and (–7, –4) will never intersecta line that is represe

anyanavicka [17]

Answer:

option A

Step-by-step explanation:

given coordinate (3, -6) and (–7, –4)

to find the equation of line

slope of the line passing through both the point will be

$m = \dfrac{y_2-y_1}{x_2-x_1}$

$m = \dfrac{-4+6}{-7-3}$

$m = -\dfrac{2}{10}$

equation of line

( y - y₁ ) = m ( x - x₁ )

$y + 6= -\dfrac{2}{10}(x - 3)$

x + 5 y = -27

line which will not intersect will be parallel to it so option A has same slope as our line equation i.e. -1/5

hence, correct answer is option A

3 0

3 years ago

Calculate the frequency in hertz of photons of light with energy of 8.10 × 10-19 J.

stira [4]

The Planck–Einstein relation $E=hv$ gives that E, the photon energy, is equal to h, Planck's constant, times <span>ν</span>, the frequency.

We can solve the equation in terms of frequency to get
$v= \dfrac{E}{h}$

We substitute our given energy, $8.10 \times 10^{-19} J$ , and Planck's constant, $6.626 \times 10^{-34} Js$ .

$v= \dfrac{8.10 \times 10^{-19} J}{6.626 \times 10^{-34} Js}=1.22 \times 10^{15} s^{-1}=1.22 \times 10^{15} Hz$

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3 years ago

What's the algebraic expression represents the phrase? Cindy studied seven more hours than Nikki studied. A. n + 7 B. 7 - n C. 7

Angelina_Jolie [31]

It is going to be (A)

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3 years ago