MATHEMATICS HIGH SCHOOL

Please solve the equation
X^2+3x+3=0

Answers

Answer 1
Answer: x² + 3x + 3 = 0

I can tell by looking that there's no easy way to factor the left side,
so we'll have to use the Quadratic formula.

Before doing that, let's just take a look at the discriminant:

( B² - 4AC ) = (9) - (4 x 3 x 1) = (9 - 12) = -3 .
The discriminant is negative, so we know that the roots will be complex conjugates.

Again:  x² + 3x + 3 = 0

x = (1/2) [ -3 plus or minus the square root of (-3) ]

x = -3/2 + (1/2) j√3
and
x = - 3/2 - (1/2) j√3

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Y is eleven times the value of x.

The equation is y =____

Answers

Answer:

Your answer will be y = 11x

The same thing as multiplying 11 by x

Or you could say y = 11*x

Hope this comes to help someone! :)

Find the area of the figure to the nearest tenthA. 8.2 in.2
B. 74.2 in.2
C. 148.4 in.2
D. 23.6 in.2

Answers

That's a part of a circle that has a radius of 9 inches.

Area of any circle = (pi) x (radius)²

Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi)  square inches.

That's the whole circle.  How much of the whole circle is in the picture ?

A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.
This piece is ( 105/360 ) of the whole circle.

So the area of the piece is (105/360) x (81 pi) = 74.22 square inches (rounded)

Select the term that best describes the statement.If a polygon has eight sides, then it is an octagon.

conjunction
disjunction
negation
conditional

Answers

Answer:

The term that best describes the given statement is given by the last option i.e.

Conditional .

Step-by-step explanation:

We are given a statement:

If a polygon has eight sides, then it is an octagon.

We know that a conditional statement which is also known as the if-then statement is a statement where one part of it is a given condition or hypothesis and the second statement is a conclusion of the first statement.

It could also be symbolized as:

If p then q

where p is the hypothesis and q is the conclusion.

Hence, the term that describes this given statement is:

Conditional.
conditional 
if the polygon has 6 sides then it is a hexagon, is an example of condition sencece so the correct answer is conditional.

What is the slope of graph 8x + 2y=13

Answers

Answer: -4

Step-by-step explanation:

To find the slope of the graph represented by the equation 8x + 2y = 13, we need to rearrange the equation into slope-intercept form, which is y = mx + b.

Let's solve for y:

8x + 2y = 13

2y = -8x + 13

y = -4x + 6.5

Now we can see that the coefficient of x, which is -4, represents the slope of the graph.

Therefore, the slope of the graph is -4.

What are the zeros of (x-2)(x^2-9)

Answers

(x-2)(x^2-9)=0\iff x-2=0\ or\ x^2-9=0\n\nx-2=0\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{x=2}\n\nx^2-9=0\ \ \ \ |add\ 9\ to\ both\ sides\n\nx^2=9\iff x=\pm\sqrt9\to \boxed{x=-3\ or\ x=3}\n\nAnswer:\boxed{x=-3\ or\ x=2\ or\ x=3}

Fred bought seven adult and two student tickets for $16. John paid $7 for one adult and five student tickets. Individual costs are:

Answers

Answer:

Adult ticket=$2

Student ticket=$1

Step-by-step explanation:

Let the cost of one adult ticket be $x and the cost of one student ticket be $y

Fred bought 7 adult and 2 student tickets for$16.

So,

7x+2y=16. ...(1)

And,John paid $7 for one adult and 5 student tickets.

So,

x+5y=7. ...(2)

From ...(2),

x=7-5y

Substituting the value of x in equation ...(1),

7(7-5y)+2y=16

or,49-35y+2y=16

or,33y=33

or,y=1

Now, substituting the value of y in ...(2),

x=7-5=2

Thus,the cost of one adult ticket is $2 and the cost of one student ticket is $1.
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