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3 years ago

Consider the following trigonometric function. h(x) = 3 sin (2x - pi) + 2. Graph h(x) in the interactive widget.

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Answer:

Hope it helped!

Step-by-step explanation:

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A number is chosen at random from 1 to 10. Find the probability of selecting factors of 4 and factors of 6

disa [49]

4,6,8 because 4 times 2 is 8 and 6 times 1 equals 6 and 1 times 4 equals 4

5 0

3 years ago

Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

8 0

4 years ago

Read 2 more answers

Carlos looks for bird food to feed Julio, his pet parakeet. He feeds Julio a total of cup of food each day. Julio is fed twice e

aleksandrvk [35]

Well if he feeds him a cup a day and feeds him 2 times a day then you would divide one cup by two which equals half a cup. he feeds julio half a cup each time

3 0

3 years ago

4x^2+32x+8 is a perfect square trinomial true or false

fgiga [73]

Answer:

The trinomial $4x^2+32x+8$ is not a perfect square trinomial because the third term is not a square.

Step-by-step explanation:

A trinomial is an expression composed of three terms that are joined together by addition or subtraction.

A perfect square is created when a value is multiplied times itself. Thus, $(a + b)(a + b) = a^2 + 2ab + b^2$ , making the trinomial a² + 2ab + b² a perfect square.

To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.

The trinomial $4x^2+32x+8$ is not a perfect square trinomial because the third term is not a square.

4 0

3 years ago

Original grade 80 New grade 100 Find the percent of increase

Taya2010 [7]

Answer: 20% increase

Step-by-step explanation: It’s out of 100 and you first got 80 and then you got 100. Since it’s out of 100 you could just subtract to numbers ex: 100-80=20. The answer is 20% increase

4 0

3 years ago

Read 2 more answers