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4 years ago

X^2 + 16 Factor the polynomial completely

Mathematics

1 answer:

Lelu [443]4 years ago

5 0

Step-by-step explanation:

${x}^{2} + {16} \\ {x}^{2} + {4}^{2} \\(x + 4 {)}^{2} \\ = {x}^{2} + 8x + 16$

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Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dol

o-na [289]

Answer:

10kg

Step-by-step explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package

8 0

3 years ago

Tony took a math quiz last week. There were 80 problems on the quiz and Tony answered 70% of them correctly. How many problems d

Nutka1998 [239]

Answer:

56 problems

Step-by-step explanation:

So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.

Tony's quiz had 80 questions

Tony correctly answered 70% of them.

We can always write a percentage amount as a ratio by dividing the amount by 100.

$70\% = \frac{70}{100} = 0.7$ .

This means that for every 100 questions, tony will respond correctly 70.

So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:

$C = n*\frac{70}{100}$

If $n = 80$ then:

$C = 80 * \frac{70}{100}\\\\C = 56$

7 0

3 years ago

Read 2 more answers

Help show work 42,44,46,48,50 assig 9

Sedbober [7]

Answer: see below

Step-by-step explanation:

42) 11 < 3y + 2 < 20

-2 -2 -2

9 < 3y < 18

÷3 ÷3 ÷3

3 < y < 6

Graph: o----------o

3 6

44) 36 ≥ 1 - 5z > -21

-1 -1 -1

35 ≥ -5z > -22

÷ -5 ↓ ÷ -5 ↓ ÷ -5

7 ≤ z < 4.4

Graph: o------------ ·

4.4 7

46) 6b + 3 < 15 or 4b - 2 > 18

-3 -3 +2 +2

6b < 12 4b > 20

÷6 ÷6 ÷4 ÷4

b < 2 or b > 5

Graph: ←--------o o---------→

2 5

48) 8d < -64 and 5d > 25

÷8 ÷8 ÷5 ÷5

d < -8 and d > 5

there is no number that is both less than - 8 and greater than 5

No Solution

Graph: (empty)

50) 15x > 30 and 18x < -36

÷15 ÷15 ÷18 ÷18

x > 2 and x < -2

there is no number that is both less than - 2 and greater than 2

No Solution

Graph: (empty)

7 0

3 years ago

When evaluating (3.25 times 10 Superscript 5 Baseline) (1.82 times 10 Superscript 3 Baseline), what will be the exponent of 10 i

boyakko [2]

Answer:

The exponent of 10 in the product is 8.

Step-by-step explanation:

The expression is as follows:

$(3.25\times 10^{5})\cdot (1.82\times 10^{3})$

Exponent rule:

$a^{m}\times a^{n}=a^{m+n}$

Simplify the expression as follows:

$(3.25\times 10^{5})\cdot (1.82\times 10^{3})=3.25\times 10^{5}\times 1.82\times 10^{3}$

$=(3.25\times 1.82)\times (10^{5}\times 10^{3})\\\\=5.915\times 10^{5+3}\\\\=5.915\times 10^{8}$

Thus, the exponent of 10 in the product is 8.

3 0

3 years ago

Read 2 more answers

Bill cut out 16 squares and 28 circles. He divided the cutouts into groups so that the same number of squares and circles were i

vlabodo [156]

Answer:

The greatest number of groups he could have made is 4 groups

Each of the four groups will have:

4 Squares each

7 circles each

Step-by-step explanation:

16 squares

28 circles

Find the highest common factor of 16 and 28

16: 1, 2, 4, 8, 16

28: 1, 2, 3, 4, 7, 14, 28

The highest common factor of 16 and 28 is 4

This means the greatest number of groups he could have made is 4 groups

Each of the four groups will have:

16 squares = 16 / 4

= 4 Squares each

28 circles = 28 / 4

= 7 circles each

Each of the four groups will have:

4 Squares each

7 circles each

7 0

3 years ago