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3 years ago

If s(x) = 2x2 + 3x - 4, and t(x) = x + 4 then s(x) · t(x) =

2 answers:

Nookie1986 [14]3 years ago

8 0

You simply multiply the two and distribute to solve. I am starting with t(x) because I think it is easier.

(x+4)*(2x^2+3x-4)
2x^3+3x^2-4x+8x^2+12x-16 (distribute)
2x^3+11x^2+8x-16 (combine like terms)

Nostrana [21]3 years ago

8 0

2x^3+11x^2+8x-16 ...............

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Use a truth table to determine whether the following is a tautology, a contradiction, or neither. ~PAP Q~QvQ

NNADVOKAT [17]

Answer:

The statement $\lnot P \land P \rightarrow Q \rightarrow\lnot Q\lor Q$ is a tautology.

Step-by-step explanation:

We have the following statement $\lnot P \land P \rightarrow Q \rightarrow\lnot Q\lor Q$

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The simple statements from the statement given are:

$\lnot P$ , $\lnot Q$ , $\lnot P \land P$ , $\lnot P \land P \rightarrow Q$ , and $\lnot Q \lor Q$ with these you can construct the following truth table.

A tautology is a formula that is always true, it is true for every assignment of truth values to its simple components.

The last column contains only true values. Therefore, the statement is a tautology.

7 0

4 years ago

Help please don't get it

GarryVolchara [31]

Surface Area is the area of each face added together. For this question lets find the area of one triangle first.

Area of a triangle is base*hight/2, so 6*7/2=21. That was the area of one triangle. We have 4 traingle so we multiply that by for. 21*4=84.

Now, lets find the area of the squre. area of square is side*side or side^2.

So we multiply 6*6=36. that is the area of the square.

To find the surface area, we must add Area of Triangles+Area of Square.

so, 84+36=120

So the surface area is 120

7 0

3 years ago

So desperate. Last question on my HW and I can't do it.

vladimir2022 [97]

Will you please either write the question or upload a picture of it so we can help you with it?

7 0

3 years ago

I would be so greatful if someone can help me with this

ioda

Same i need to do this

7 0

3 years ago

The model includes a new park in the center of the city. If the dimensions of the

11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

6 0

3 years ago