3 years ago

Solve the problems.

Mathematics

1 answer:

RoseWind [281]3 years ago

6 0

Answer:

????

Step-by-step explanation:

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(a+4)² - 3² Factored out

uranmaximum [27]

Answer:

$a = - 7$

$a = - 1$

Step-by-step explanation:

$(a+4) {}^{2} - 3 {}^{2} \\ a {}^{2} + 8a + 16 - 9 \\ a {}^{2} + 8a + 7 \\ a {}^{2} + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \: \: \: \: or \: \: \: \: a + 1 = 0 \\ a = - 7 \: \: \: \: \: \: \: \: or \: \: \: a = - 1$

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3 years ago

Carol had a previous balance of $557.83 in her checking account. She deposited checks

g100num [7]

Answer:

x^2-4/7x-12/49=0

x= 6/7 and -2/7

Step-by-step explanation:

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3 years ago

Length = 25cm, bredth =60 cm, Volume = 7500cm^3. Find height of a cuboid.

elena-14-01-66 [18.8K]

Answer:

height = 5cm

Step-by-step explanation:

Volume of the cuboid = length x breadth x height

7500 = 25 x 60 x height

height = 7500 / 1500

height = 5

8 0

3 years ago

Read 2 more answers

Three pith balls supported by insulating threads hang from a support. We know that ball X is positively charged. When ball X is

Tamiku [17]

Answer:

B. z has a negative charge

Step-by-step explanation:

7 0

3 years ago

A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16

bixtya [17]

Answer:

$6,430\ bacteria$

Step-by-step explanation:

we have a exponential function of the form

$y=a(1+r)^{x}$

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

$y=3,000(1+r)^{x}$

For x=2, y=3,300

substitute

$3,300=3,000(1+r)^{2}$

$(3,300/3,000)=(1+r)^{2}$

Apply square root both sides

$1+r=\sqrt{3.3/3}$

$r=\sqrt{3.3/3}-1$

$r=0.0488$

$r=4.88\%$

substitute in the equation

$y=3,000(1+0.0488)^{x}$

$y=3,000(1.0488)^{x}$

Predict how many bacteria will be present after 16 hours

For x=16 hours

substitute

$y=3,000(1.0488)^{16}$

$y=6,430\ bacteria$

6 0

3 years ago