MATHEMATICS HIGH SCHOOL

What is the value of the discriminant for the quadratic equation 0 = 2x^2 + x – 3?Discriminant = b^2 – 4ac

A) –25
B) –23
C) 25
D) 26

Answers

Answer 1
Answer: the discriminant tells or discriminates how many roots there will be and what kind they are

that is the bit under the square root sign with is b^2-4ac

when you have
ax^2+bx+c=0
we have
2x^2+1x-3=0
a=2
b=1
c=-3
sub
b^2-4ac
1^2-4*2*-3
1+24
25

the discriminant is 25 C
Answer 2
Answer: What is the value of the discriminant for the quadratic equation 0 = 2x^2 + x – 3?

It would be C 25

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What is the perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters?

Answers

The answer is 23cm just add the sides

The perimeter is the sum of all of the lengths of the sides. To find the perimeter, add together the length of each side.

For this triangle, our side lengths are 7, 7, and  9.

7 + 7 = 14

14 + 9 = 23

The perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters is 23 centimeters.

Hope this helps!! :)

Write a conjecture for the following situation - the product of three odd numbers.

Answers

Answer:

5

Step-by-step explanation:

Evaluate the function f(x)=2x-2 when x equals negative 1A. -4
B. -3
C. 0
D. 4

Answers

f(x)= -4. 
Just plug in -1 for your x in 2x-2 and solve like a normal equation. Think of f(x) a your y because that's basically what it is. If it helps, the equation is basically:
y=2x-2 so you would just solve for y by plugging in -1 into x.

Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get after 10 years? A.)18,122 B.)18,014 C.)17,908 D.)17,704

Answers

THe closest answer i got was 18122

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function .How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary. h=-16t^2+112t+30
A. 7 s; 30 ft
B. 3.5 s; 366 ft
C. 3.5 s; 618 ft
D. 3.5 s; 226 ft

Answers

To determine the time it takes for boulder to reach its maximum height, derive the equation and equate to zero.
                                 h = -16t² + 112t + 30
                   dh / dt = 0 = -32t + 112
The value of t from the equation above is 3.5 s. Substitute this value of t to the original question, 
                                 h = -16(3.5 s)² + 112(3.5 s) + 30 = 226 ft
Thus, the answer is letter D. 

Express in simplest radical form.
-√63 x^7 - 4x√7x^5

Answers

Answer:

-21x^12

Step-by-step explanation:

To express the given expression in simplest radical form, let's simplify each term separately.

Starting with the first term, -√63x^7, we can simplify the square root of 63.

The prime factorization of 63 is 3 × 3 × 7. Since there is no perfect square factor, we can't simplify the square root any further. So, we have -√(3 × 3 × 7) x^7.

Now, let's move on to the second term, -4x√7x^5. We can simplify the square root of 7.

Since 7 is a prime number, there is no perfect square factor. So, we have -4x√7 x x^5.

Now, let's multiply the two terms together. Multiplying the numbers outside the radicals gives us -√(3 × 3 × 7) x^7 × -4x√7 x x^5.

Multiplying the x's together gives us x^7 x x^5 = x^(7+5) = x^12.

Multiplying the numbers under the radicals together gives us √(3 × 3 × 7) x √7 = √(3^2 x 7) x √7 = 3√7 x √7 = 3 x 7 = 21.

Combining these results, we have -21x^12.
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