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3 years ago

The product of the polynomials (3x+2) and (-x to the third - 3

Mathematics

1 answer:

guajiro [1.7K]3 years ago

6 0

Answer:

You will use the distributive property.

Multiply both terms.

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Area = 300 square feet

m_a_m_a [10]

Answer:

$Length=24.32$ feet

$width=12.32$ feet

Step-by-step explanation:

Let x be the width of a rectangle

Let l be the length of a rectangle

Let A be the area of rectangle

Given.

Length must be 12 feet longer than width

therefore

$Length=12+w$

$l=12+w$

Area of rectangle

$A=300$

We know that area of rectangle is

$A=l\times w$ ---------------------(1)

put all known values in equation 1

$300=(12+x)\times x$

$x^{2} +12x=300\\x^{2} +12x-300=0$

Find roots by this formula

$=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

$=\frac{-12\pm\sqrt{12^{2}-4(1)(-300)}}{2(1)}$

$=\frac{-12\pm\sqrt{1344}}{2}$

$x=-6+4\sqrt{21} \\x=-6-4\sqrt{21}$

$x=12.32\\x=-24.32$

check both value in equation 1

for $x=12.32$

$A=(12+12.32)\times 12.32$

$A=299.62$

$x=12.32$ is satisfy the equation

So The length of rectangle $l=12+12.32$ =24.32 feet

And width is 12.32 feet

3 0

3 years ago

the perimeter of a rectangular garden is 96m. The length of the garden is 8 more than the width. Find the length and width of th

SCORPION-xisa [38]

Answer:

width = 20

length = 28

Step-by-step explanation:

perimeter=96

width=x

length=x+8

(length*2) + (width*2) = perimeter

2(x+8) + 2(x) = 96

2x+16+2x=96

4x+16=96

4x=80

x=20

width = 20

length = 28

4 0

2 years ago

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of

Gala2k [10]

Answer:

G= 93 to 147

Step-by-step explanation:

From the question we are told that

Mean x = 120

Standard deviation o = 9

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean

Standard deviation n= 9

Mean x= 120

Generally the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = mean + 3 * o

G = 120 + 3 * 9

G = 93 to 147

please brainless

3 0

2 years ago

Read 2 more answers

A 20,000 gallon tank is 3/4full. If the drain valve on this tank allows 2.5 gallons of water to be drained per minute, about how

patriot [66]

Answer:

100 Hours

Step-by-step explanation:

since the tank has 15,000 gallons of water. it drains at a rate of 150 gallons per hour so 15,000 divided by 150 equals 100

6 0

3 years ago

Jimmy notices 7oranges weigh the same as 5 apples. If Jimmy has 28 oranges, how many apples would Jimmy need to equal the weight

pychu [463]

Answer:

Step-by-step explanation:

7 times 4 equals 28 and 5 times 4 equals 20 so the answer is 20

6 0

3 years ago