What’s the answer to this problem and can you please show the work and explanation

Mathematics

1 answer:

aniked [119]4 years ago

7 0

Just need some points here

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A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car tr

Ymorist [56]

Answer:

150 miles

Step-by-step explanation:

speed = 120 km per hour

1 mile = 1.6 km

speed = 120 km per hr

divide 120 with 1.6 to get in miles=120/1.6

= 75 miles per hour

speed = 75 miles per hour

So, in 1 hr, it can travel 75 miles

the distance traveled by car in 2 hours = 75 * 2 = 150

Result : Speed = 75 miles per hour , distance = 150 miles

6 0

2 years ago

Write a polynomial in standard form with the zeros -4,0, 1, and 4.

gavmur [86]

Answer: $x^4-x^3-16x^2+16x$

Step-by-step explanation:

Factor theorem : If x=a is a zero of a polynomial p(x) then (x-a) is a factor of p(x).

Given: Zeroes of polynomial : -4,0, 1, and 4.

Then Factors = $(x-(-4)), (x-0), (x-1) and (x-4)$ [By factor theorem ]

$=(x+4), (x-0), (x-1) and (x-4)$

Multiplying these factors to get polynomial in standard form.

$(x+4)\times(x-0)\times(x-1)\times(x-4) \\\\= x(x+4)(x-4)(x-1)\\\\= x(x^2-4^2)(x-1)\\\\= x(x^2-16)(x-1)\\\\= x(x^2-16)(x-1)\\\\=x(x^2x+x^2\left(-1\right)+\left(-16\right)x+\left(-16\right)\left(-1\right))\\\\= x(x^3-x^2-16x+16)\\\\=x^4-x^3-16x^2+16x$