Determine whether the given binomial is a factor of the polynomial P(x).

1 answer:

7 0

No, it is not a factor of P(x)=5 $x^{3}$ + X^{2} -7 because when I used synthetic division, I got 37 as a remainder which means that (x-2) is not a factor. The remainder should be zero for it to be a factor.

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A package of 3 pairs of insulate gloves costs $22.77. What is the unit price of the pairs of gloves

ArbitrLikvidat [17]

Answer:

$7.59

Step-by-step explanation:

If 3 pairs of gloves costs $22.77, then 1 pair of gloves costs $22.77 ÷ 3.

$22.77 ÷ 3 = $7.59

1 pair of gloves costs $7.59.

6 0

3 years ago

Read 2 more answers

Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 m

weqwewe [10]

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

$r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\$

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

$\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\$

Simplify the equation

$\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\$