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REY [17]
3 years ago
9

Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)

Mathematics
1 answer:
swat323 years ago
8 0
4x^2 + 12x + 5=4x^2+2x+10x+5 \\  \\ =2x(2x+1)+5(2x+1)=(2x+5)(2x+1) \\  \\ \therefore4x^2+12x+5=(2x+5)(2x+1)
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................................................................................................................................
Alborosie

Answer:

its 65. bcuz you add it all together

Step-by-step explanation:

6 0
3 years ago
Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power i
RideAnS [48]

Question:

Use the expression to complete the statements.

(0.5)^{10\\

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

(0.5)^{10\\ = (\frac{1}{2})^{10} -- another way to write

Step-by-step explanation:

Given

(0.5)^{10\\

Required

Fill ion the gaps

(0.5)^{10\\ is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write (0.5)^{10\\

Express 0.5 as a fraction

(\frac{5}{10})^{10}

Simplify the fraction

(\frac{5/5}{10/5})^{10}

(\frac{1}{2})^{10}

Hence:

(0.5)^{10\\ = (\frac{1}{2})^{10}

3 0
2 years ago
Read 2 more answers
Gemma recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 16 miles per
DochEvi [55]

first speed --- x mph

return speed -- x+16 mph

6/x + 6/(x+16) = 1

times each term by x(x+16)

6(x+16) + 6x = x(x+16)

x^2 + 4x - 96 = 0

(x-8)(x+12) = 0

x = 8 or x is a negative

her first speed was 8 mph

her return speed was 24 mph

check:

6/8 + 6/24 = 1 , that's good!

8 0
2 years ago
Without using technology, describe the end
victus00 [196]

Answer:

Up on the left, up on the right

Step-by-step explanation:

The given function is:

f(x)=3x^{4}+8x^{2}-22x+43

The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.

The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.

Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.

7 0
2 years ago
Mr. Gold had 4 times more cars than motorcycles in his garage. After he bought 4 more cars and sold 4 motorcycles, there were 8
fenix001 [56]

Answer: 36 cars and 9 motorcycles


Step-by-step explanation:

  1. It's given that he has x motorcycles to 4x cars
  2. After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
  3. Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
  4. Once you solve you get 36 cars and 9 motorcycles
6 0
3 years ago
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