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OLEGan [10]
2 years ago
11

A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 35 pounds and a case of pap

er towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether.
1. Complete the table showing three ways the truck could be packed with jugs of water and cases of paper towels.
jugs of drinking water, w
cases of paper towels,

2. Write an equation relating the number of jugs of water, w, and the number of cases of paper towels, t, the truck can carry.
Next →

Please help me, I’ll give you brainlyist point and like 50 points.

Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

Answer:

Step-by-step explanation:

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. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i
KIM [24]

Answer:

Error of Andrew: Made incorrect factors from the roots

Step-by-step explanation:

Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is  a factor of P(x). According to this definition:

(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.

Simplifying the brackets, we get:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.

This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a)  which resulted in the wrong answer.

So, the polynomial would be:

(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0

7 0
3 years ago
20 POINTS!! ASAP!!! PLEASE!! Use the figure to answer questions 1 and 2. In each diagram, line k is parallel to line l, and line
vaieri [72.5K]

Answer:

see the explanation

Step-by-step explanation:

we know that

<u><em>Alternate Exterior Angles</em></u> are created where a transversal crosses two lines.  Notice that the two alternate exterior angles are equal in measure if the two lines are parallel

In this problem

m\angle x=67^o ----> by alternate exterior angles

One way to verify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles

5 0
3 years ago
Convert 8 miles into feet and then into inches.
Orlov [11]

Answer:

5,280 * 8 = 42,240

42,240 feet

42,240 * 12 = 506,880

506,880 inches

Step-by-step explanation:

5 0
2 years ago
2+3+4+3+5+6+7<br> Anyone want points? Every week once.
Otrada [13]

Answer:

30

Step-by-step explanation:

Thank you! I hope you have a good day :)

7 0
2 years ago
Read 2 more answers
2x +5 &gt; -1 on the number line​
Naya [18.7K]

Answer:

Below

Step-by-step explanation:

2x + 5 > -1

Treat the equality sign (ex. < >) as the costumary equal sign (=).

2x + 5 + (-5) > -1 + (-5)  ---- -5 will cancel out the 5 on the left

2x/2 > -6/2  ------ divide by 2 to single out the x

x > -3

Remember to draw an open dot. Draw an arrow from -3 to the extreme right.

7 0
2 years ago
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