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zimovet [89]
3 years ago
11

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
5 0
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)

6 0
3 years ago
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