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3 years ago

Multiply and simplify. (3x+5)(2x2−3x+2) Enter your answer, in standard form, in the box.

Mathematics

2 answers:

Sveta_85 [38]3 years ago

7 0

Answer:

$6x^3+x^2-9x+10$

Step-by-step explanation:

We have the product, $(3x+5)(2x^{2}-3x+2)$ .

On simplifying the product, we get,

$(3x+5)(2x^{2}-3x+2)$

i.e. $6x^3-9x^2+6x+10x^2-15x+10$

i.e. $6x^3+x^2-9x+10$

Thus, the standard form of the product $(3x+5)(2x^{2}-3x+2)$ is $6x^3+x^2-9x+10$ .

forsale [732]3 years ago

5 0

Answer:

6x³+x²-9x+10

Step-by-step explanation:

We have given a binomial and a trinomial .We have to find product of binomial and a triomial.

(3x+5)(2x²-3x+2)

Multiplying each term of binomial to trinomial,we get

3x(2x²-3x+2)+5(2x²-3x+2)

Multiplying each term of binomial to each term of trinomial,we get

3x(2x²)-3x(3x)+3x(2)+5(2x²)+5(-3x)+5(2)

6x³-9x²+6x+10x²-15x+10

Gather like terms

6x³-9x²+10x²+6x-15x+10

Adding the coffiecients of like terms

6x³+x²-9x+10 which is the answer.

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Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe

8090 [49]

Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO $tan 65 = \frac{h}{45-x} = 2.14$

$h=2.14(45-x)$

From ΔBCO $tan80 = \frac{h}{x} = 5.67$

h = 5.67x

Now h = 5.67x = 2.14(45-x)

5.67x = 96.3 - 2.14x

2.14x + 5.67x = 96.3

7.81x = 96.3

x = 96.3/7.81 = 12.33 ft

Therefore $cos80 = \frac{x}{OB}$

$0.174 = \frac{12.33}{OB}$

$OB = \frac{12.33}{.174}=70.86=71ft.$

Therefore 71 ft is the distance between B and the top of the hill.

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3 years ago

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GarryVolchara [31]

Answer:

Divide

Step-by-step explanation:

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3 years ago

Y=x +3<br>1 23x+2y=-4<br>what is it

erik [133]

Answer:

x=-0.08 and y=2.92

Step-by-step explanation:

123x + 2(x+3) = -4 y = -0.08 + 3

123x + 2x + 6 = -4 = 2.92

125x + 6 = -4

125x = -10

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3 years ago

Write your answer as a mixed number in simplest form

Neko [114]

Answer:

2 5/12

Step-by-step explanation:

You put it so that the denominators are the same so in this case I used 12 as the denominator and used the rule for each. Next I subtracted 3 9/12 minus 1 4/12 and got 2 5/12

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3 years ago

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Ira Lisetskai [31]

Answer: Choice D) $y = \pm \sqrt{x+5}$

The steps to finding the inverse will have us swap x and y. Afterward, we solve for y

$y = x^2 - 5 \\\\x = y^2 - 5 \\\\x+5 = y^2 \\\\y^2 = x+5 \\\\y = \pm \sqrt{x+5} \\\\$

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Extra info:

The inverse relation is not a function because of the plus minus. For instance, plugging x = 4 into $y = \pm \sqrt{x+5}$ leads to y = -3 and y = 3 simultaneously. You would have to apply a domain restriction on $y = x^2-5$ to make it a one-to-one function, to make the inverse a function. One possible domain restriction is $x > 0$ which would lead to the inverse function $y = \sqrt{x+5}$

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3 years ago