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3 years ago

Which of the following is equivalent to 14x2 + 35x when it is completely factored? 7x(2x + 5)

Mathematics

2 answers:

spin [16.1K]3 years ago

8 0

Answer:

7 x (2 x + 5)

Step-by-step explanation:

Ksenya-84 [330]3 years ago

7 0

Answer:

Factor the following:

14 x^2 + 35 x

Factor 7 x out of 14 x^2 + 35 x:

Answer: 7 x (2 x + 5)

Step-by-step explanation:

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Mrs. Flynn baked 6 more cookies than Mrs. Jones did. If together they baked 42 cookies, how many did Mrs. Jones bake?

galben [10]

Answer:

Mrs. Jones baked 18 cookies

Mrs. Flynn baked 24 cookies

Step-by-step explanation:

42-6=36(to find 2x the number mrs jones baked)

36/2=18(how cookies baked by mrs jones)

18+6=24(how many mrs flynn baked)

8 0

3 years ago

The United States has a total area of 3,796,742 square miles.

Dvinal [7]

Answer:

4 * 10^6

Step-by-step explanation:

3,796,742 is about 4,000,000

4 * 10^? = 4,000,000

4 to 4,000,000 is an extra 6 zeroes

? = 6

4 * 10^6

4 0

3 years ago

X = ? y = ? 16 45 degrees

mezya [45]

Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $\text{ Tangent }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Adjacent Side}}$

For x, we will be using the Cosine Function:

$\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}$ $(16)Cosine(45^{\circ})\text{ = x}$ $(16)(\frac{1}{\sqrt[]{2}})\text{ = x}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = x}$

Therefore, x = 8√2.

For y, we will be using the Sine Function.

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Sine }(45^{\circ})\text{ = }\frac{\text{ y}}{\text{ 1}6}$ $\text{ (16)Sine }(45^{\circ})\text{ = y}$ $\text{ (16)(}\frac{1}{\sqrt[]{2}})\text{ = y}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = y}$

Therefore, y = 8√2.

5 0

2 years ago

In a lottery game, a player picks six numbers from 1 to 22. If the player matches all six numbers, they win 20,000 dollars. Othe

Angelina_Jolie [31]

Answer:

Total possible number of outcomes = C(24,6) [24 choose 6]

=24!/(6!18!)

= 134596

Out of which there is only one winning combination.

Therefore we conclude:

P(win 20000)=1/134596

P(lose 1)=134595/134596

and hence the expected value is:

20000*(1/134596)+(-1)*(134595/134596)

=-114595/134596

=-0.8514 (rounded to four places after decimal)

Step-by-step explanation:

Hope this helped!

8 0

3 years ago

Justin is training for a hamburger eating competition. He is eventually able to eat 15 hamburgers in 10 minutes. What is justin’

user100 [1]

Answer:

1.5 hamburgers per minute

Step-by-step explanation:

In 10 minutes, Justin can eat 15 burgers.

In 1 minute, Justin can eat 15/10 burgers.

15/10 = 1.5

7 0

3 years ago