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2 years ago

Find all solutions to 0= 2x^4+5x^3+38x^2+125x-300

1 answer:

3 0

$2x^4+5x^3+38x^2+125x-300=0\\\\2x^4+5x^3-12x^2+50x^2+125x-300=0\\\\x^2(2x^2+5x-12)+25(2x^2+5x-12)+0\\\\(2x^2+5x-12)(x^2+25)=0\\\Updownarrow\\1^o\ 2x^2+5x-12=0\ \vee\ 2^o\ x^2+25=0\\\\\\1^o\ \Delta=5^2-4\cdot2\cdot(-12)=25+96=121\\\\\sqrt\Delta=\sqrt{121}=11\\\\x_1=\frac{-5-11}{2\cdot2}=\frac{-16}{4}=-4;\ x_2=\frac{-5+11}{2\cdot2}=\frac{6}{4}=\frac{3}{2}\\\\\\2^o\ x^2=-25-false\\\\\\Answer:x=-4\ or\ x=\frac{3}{2}$

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20 points! Identify the solids that form the compos

Troyanec [42]

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length ( $a^2$ ).

The cube's surface area = $6a^2$ = $6(5^{2} )$ = $150$ square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = $2 \pi r h+2 \pi r^{2}$ = $2 \pi (2) (4)+2 \pi (2)^{2}$ = $75.398$ square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

3 0

2 years ago

The first number is 14 less than the second number. When she adds them, she gets 40.

Alenkinab [10]

Answer:

second number is 17, first number is 3

Step-by-step explanation:

5 0

2 years ago

Rewrite the expression as a multiple of a sum of two numbers with no common factor. <br> 30 + 12

fomenos

The expression 30 + 12 can be rewritten as 2x(13+8)

3 0

3 years ago

Read 2 more answers

What is the value of the expression (2 x 5)^3

Tom [10]

Deal with the brackets first
(2x5) = 10
Then 10 cubed = 1000

Hope this helps

3 0

2 years ago

9.1 x 10-31 kg.

Reptile [31]

1 electron has a mass of 9.1 X 10-31 kg. How many electrons n does it take to make 1 kg?

(1 e)/(9.1 X 10-31 kg) = n/(1 kg)

So, n = 1.10 X 1030 electrons

Each electron has a charge of 1.6 X 10-19 C, where C stands for Coulombs. So, the n electrons have a charge of q = ne = (1.10 X 1030 electrons) X (1.6 X 10-19 C/electron) = 1.76 X 1011 C.

7 0

2 years ago