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3 years ago

Replace * with a number in such a way that the trinomial could be written in the form a(x+b)^2 or a(x-b)^2.

Mathematics

2 answers:

weqwewe [10]3 years ago

6 0

Answer:

a) 6
b) 3.125 or 25/8

Step-by-step explanation:

1.5x² + 6x + * =
1.5(x² + 4x + *) =
1.5(x² + 2*2x + 4) =
1.5(x + 2)²
* = 1.5*2² = 6

2x² - 5x + * =
2(x² - 2.5x + *) =
2(x² - 2*1.25x + 1.25²)=
2(x - 1.25)²
* = 2*(1.25)² = 3.125 or 25/8

Lostsunrise [7]3 years ago

3 0

Answer:

Solution given;

a. 1.5x^2+6x+*

1.5(x²+4x+*)

1.5(x²+2.2x+2²)

1.5(x+2)²

b) 2x^2-5x+*

2(x²-5x/2+*)

2(x²-2×5/4 ×x +(5/4)²)

2(x-5/4)²

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Nadusha1986 [10]

Answer:

Step-by-step explanation:

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4 years ago

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Answer:

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3 years ago

Solve for x. Round your answer to the nearest tenth if necessary.

Umnica [9.8K]

Answer:

30.5

Step-by-step explanation:

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8 0

3 years ago

A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills % of the female bees and % of the male bees.

Paha777 [63]

Complete Question

A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills 25% of the female bees and 14% of the male bees. After the disease hits the colony, the beekeeper decides to sell LaTeX: \frac{1}{2} 1 /2 of the remaining female bees to a friend.

How many total bees are left in the beekeeper’s colony after the disease and sale?

Answer:

24977 bees

Step-by-step explanation:

From the above question:

Number of female bees = 65,000

Number of male bees = 700

A disease kills 25% of the female bees and 14% of the male bees.

Number of female bees killed = 25% × 65,000

= 16,250 bees

Amount of female bees left = 65,000 - 16,250

= 48750 bees

Number of male bees killed = 14% × 700

= 98

Amount of male bees left = 700 - 98

= 602 bees

After the disease hits the colony, the beekeeper decides to sell LaTeX: \frac{1}{2} 1 /2 of the remaining female bees to a friend.

Hence:

1/2 × 48750 bees

= 24375 bees

Total bees are left in the beekeeper’s colony after the disease and sale is calculated as:

24375 female bees + 602 male bees

= 24977 bees

4 0

3 years ago

Shelly is a biologist who wants to determine the growth rate of a strain of bacteriaShelly puts 85 bacteria into a controlled en

erik [133]

The hourly growth rate of bacteria is 191.25

<u>Solution:</u>

Given that, initially Shelly put 85 bacteria and waits 4 hours

Amount of bacteria after 4 hours = 850

Now, number of bacteria increased = 850 bacteria – initial 85 bacteria

Number of increased bacteria = 850 – 85 = 765 bacteria.

So, 765 bacteria were produced in 4 hours.

So hourly growth rate( per hour) can be found out by as follows:

$\text { Hourly growth rate }=\frac{\text { number of bacteria increased }}{\text { number of hours }}$

$\text { Hourly growth rate }=\frac{765}{4}=191.25$

Hence, the hourly growth rate of bacteria is 191.25

4 0

3 years ago

Read 2 more answers