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3 years ago

(x - 11) (4x + 1) what is x

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

4 0

Answer:x=-43

Step-by-step explanation:

To expand (x-11)(4x+1) to get x

x^2+x-44x-11

x^2-43x-11

So x=-43

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A town has a population of 19000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop

steposvetlana [31]

Answer:

If the population grows by 4% each year then

the population in any given year is 104% of

the previous year or 1.04 times as much

P(t) = P0(1.04)t

P(t) is population at time t years

P0 = initial population = 11,000

t = number of years = 15

P(15) = 11,000(1.04)15

P(15) = 19,810 people

Step-by-step explanation:

3 0

3 years ago

£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much

geniusboy [140]

Answer: Paul gets £186

Step-by-step explanation:

Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.

1/2 * 1/3 = 1/6

So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.

1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6

Now, divide 620 by 1 4/6 to find Malachy’s amount.

620/1 4/6 = 372

Now, divde 372 by 2 to get Paul’s amount.

372/2 = 186

3 0

3 years ago

Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.

gregori [183]

Answer:

81 cm²

Step-by-step explanation:

Since, the lateral face of a triangular pyramid is a triangle,

Given,

The base edge or the base of one lateral face of pyramid, a = 6 cm,

And, the slant height or the height of the face, k = 9 cm,

Thus, the area of one lateral face of the pyramid,

$A=\frac{1}{2}\times a\times k$

$=\frac{1}{2}\times 6\times 9$

$=\frac{54}{2}$

$=27\text{ square cm}$

We know that, a Regular triangular pyramid has 3 lateral faces,

Hence, the total lateral area of the pyramid,

$L.A.=3\times\text{ The area of one lateral face}$

$=3\times 27$

$=81\text{ square cm}$

5 0

3 years ago

Read 2 more answers

Lisa earns $2.50 a week and lives in a state that taxes and come at 5%. How much does Lisa pay in state tax each week?

vaieri [72.5K]

Answer:

Step-by-step explanation:

Weekly tax that Lisa pay is 5% of her weekly earning at $2.50

= 5/100× $2.50=$0.125

7 0

3 years ago

What is the equation of the line that passes through the point (−1,−3) and has a slope of 3?

Tanya [424]

Answer:

y= 3x

Step-by-step explanation:

The slope is just read. It is 3. It is the value of m in the general equation.

y = mx + b

y = 3x + b

To find b, use (-1,-3)

x = -1

y = -3 Substitute into the general equation

-3 = 3(-1) + b Simplify the right side

-3 = -3 + b Subtract -3 from both sides

b = 0

Answer: y = 3x

7 0

3 years ago