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zysi [14]
3 years ago
9

How does the number of zeros in the product eight and five thousand compare to the number of zeros in factors? Explain.

Mathematics
1 answer:
Flura [38]3 years ago
7 0
8X5000 is 40000. There's three zeroes in5000 and no zeroes in 8, yet there are 4 zeroes in the answer. This is because you must multiply the non-zeroes, and then add the zeroes from your factors. 8 times 5 is 40, add 3 zeroes to get 40000.
Hope this helps!
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(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

\frac{(2x + 1)(x - 3)}{x - 3}

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
Help middle school question!!!
Sav [38]

Answer:

<em>The shaded region has an area of 1400 square units</em>

Step-by-step explanation:

<u>Area of Compound Shapes</u>

We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.

The lengths of these rectangles are x, y, and z.

The value of x can be calculated as:

x = 60 - 15 - 10 = 35

Similarly:

y = 60 - 15 = 45

z = y = 45

The first rectangle has dimensions of x by 10, thus its area is:

A1 = 35*10 = 350

The second rectangle has dimensions of 60 by 10:

A2 = 60*10 = 600

The third rectangle has dimensions y by 10:

A3 = 55*10 = 450

The shaded area is:

A = 350 + 600 + 450 = 1400

The shaded region has an area of 1400 square units

8 0
2 years ago
Read 2 more answers
Help (20 points, due tmr!! )<br><br> *pic below* :)
sveta [45]
Angles:
2 acute angles and 2 obtuse angles

Sides:
2 pairs pf parallel sides
7 0
3 years ago
2. An online bookstore sells both print books and e-books (books in an electronic format). Customers can pay with either a gift
Fudgin [204]

Answer:

a.0.12

b. Dependent

Step-by-step explanation:

a. The two events mentioned here are " print book is purchases" and "customer using gift card". P(P)=0.6 and P(C)=0.2. we have to calculate the probability of print book selection for purchase and payment is made through gift card i.e. P(P∩C). P(P∩C)=P(P)*P(C)=0.6*0.2=0.12.

b. If P(A∩B)=P(A)*P(B), then the two events are independent. Here in the given situation two independent variables are "purchase of e-book" and  "payment made using gift card"

P(E)=0.4

P(G)=0.2

P(E and G)=P(E∩G)=0.1

P(E)*P(G)=0.4*0.2=0.08 that is not equal to 0.1. So, the two events "e-book is purchased" and "Payment made by customer using gift card" are not independent.

5 0
3 years ago
Plz help agian smh i need help super fast what is nine million twelve thousand niney eight in standered form
mixas84 [53]

Answer:

pjjjjidoosopwppsuwuevevsuzubw

8 0
3 years ago
Read 2 more answers
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