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2 years ago

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Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?

1 answer:

OlgaM077 [116]2 years ago

4 0

Answer: -10,-5,3,15

A,C,D,E

The next one is a= -5, b=1, c=-5, d=-12

The last one is 3 & 4

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A coat at a store is originally priced at 54.99.The store marks the price down to 32.99.To the nearest percent ,what is the perc

AnnZ [28]

For this case what we can do is the following rule of three:
54.99 ------> 100%
32.99 ------> x
We clear the value of
x = (32.99 / 54.99) * (100)
x = 59.99272595
Therefore, the discount percentage is:
100-59.99272595 = 40.00727405%
To the nearest percent;
40%
Answer:
The percent markdown of the coat is:
40%

7 0

2 years ago

T= 300 (d−15) 2 +20space, T, equals, start fraction, left parenthesis, d, minus, 15, right parenthesis, start superscript, 2,

stealth61 [152]

As can be read from your statement written "T, equals, start fraction, left parenthesis, d, minus, 15, right parenthesis, strt superscript, 2, end superscript, divided by, 300, end fraction, plus, 20", I hope your model equation is this :

$T = \frac{(d-15)^{2}}{300} + 20$

Hope this is your question, if not I think you will, still be able to find an answer of your question based on this solution

As we have to find lowest average temperature, So for minimum of a function its derivative is equal to 0 there.

So lets find derivative of T function first

So first expand $(d-15)^{2}$ as (d-15)(d-15)

we will use FOIL to multiply these

so $(d-15)(d-15) = d^{2} -15d -15d +225$

$= d^{2} -30d +225$

so we have $T = \frac{d^{2} -30d +225}{300} +20$

Now we will derivate each term here,300 in denominator is constant so that will come as it in in denominator.

To derivate terms in $dx^{2} -30d +225$ we will use power rule formula:

$(x^{n} )'= nx^{n-1}$

so derivative of $(d^{2} )'= 2d^{2-1} = 2d^{1} = 2d$

Then derivative of d will be 1

so that of -30d will be -30

then derivate of constant -225 will be 0

so we will have derivative as $\frac{2d-30}{300}$ for the fraction part and then derivative of +20 is again 0 as its constant term

$T' = \frac{2d-30}{300}$

For minimum we will put this derivative =0

$0 = \frac{2d-30}{300}$

Now solve for d

times both sides by 300

$0 \times 300 = \frac{2d-30}{300} \times 300$

$0 = 2d-30$

$0 +30 = 2d -30 +30$

$30 = 2d$

$\frac{30}{2} = \frac{2d}{2}$

$15 = d$

So now we have to find value of lowest temperature.

For that simply plug 15 in d place in original T function equation

$T = \frac{(d-15)^{2}}{300} + 20$

$T = \frac{(15-15)^{2}}{300} + 20$

$T = 20$

So T = 20 °C is the lowest average temperature and the answer.

6 0

2 years ago

Read 2 more answers

Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112

Alexxandr [17]

Answer:

112°

Step-by-step explanation:

Given that the diagonals of trapezoid RSTU are congruent, it is an Isosceles Trapezoid.

One of the properties of an Isosceles Trapezoid is that the base angles are equal.

Therefore if the measure of angle S=112°, the measure of Angle U will also be 112°.

3 0

2 years ago

Help please <br> If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?

krok68 [10]

Answer:

$6.76

Step-by-step explanation:

Multiply 8.45 by 0.8 and you will get 6.76

5 0

2 years ago

Read 2 more answers

A field has an area of 9/20 square mile. find the width of the fieldif the length is 10/9 mile long

marusya05 [52]

The answer is 12/15

7 0

2 years ago