Use the discriminant to determine the number and type of solutions the equation has.x2 + 8x + 12 = 0
a. no real solution
b. one real solution
c. two rational solutions
d. two irrational solutions

Please help me :)

Answers

Answer 1

Answer: $x^2 + 8x + 12 = 0\n \na=1 , b= 8, c= 12 \n \n \Delta =b^2-4ac = 8^2 -4\cdot1\cdot12= 64-48= 16\n \n\Delta > 0 \n \n Answer : \ C. \ \ two \ rational \ solutions$

Answer 2

Answer: $ax^2+bx+c=0\ \ \ \Rightarrow\ \ \ \Delta=b^2-4\cdot a\cdot c\n\n\Delta>0\ \ \ \Rightarrow\ \ \ two\ real\ solutions\n\Delta=0\ \ \ \Rightarrow\ \ \ one\ real\ solution\n\Delta<0\ \ \ \Rightarrow\ \ \ no\ solution\n---------------\nx^2+8x+12=0\ \ \ \ \Rightarrow\ \ \ \Delta=8^2-4\cdot 1\cdot12=64-48=16\n\n\Delta>0\ \ \ \ \Rightarrow\ \ \ two\ real\ solutions\ \ \ \Rightarrow\ \ \ Ans.\ C$

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To decrease an amount by 60% what single multiplier would you use?

Answers

Let's imagine that the question is about fractions. You want to decrease an about by 0.6 . Rather than 100 (which is for percentages), 1 is used instead. 1 - 0.6 = 0.4

To decrease an amount by 60%, the single multiplier you would use is 0.4

There is an easy way to check:
100 X 60% = 60
100 - 60 = 40

100 X 0.4 = 40

The fact that we got the same result using both the percentage and the multiplier moves that the latter is correct.

to reduce by 60% multiply by 0.6

60% = 600/100 = 6/10 = 0.6

The function f(x)= x^2 -4 is translated 3 units to the right to create function g(x). What is g(9)?

Answers

Answer:

g(9) = 32

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here f(x) is translated 3 units right, thus

g(x) = (x - 3)² - 4, hence

g(9) = (9 - 3)² - 4 = 6² - 4 = 36 - 4 = 32

What is a triangle with 1 squared corner

Answers

a right triangle has one squared corner

a triangle with one squared corner is classified as a right triangle.

The blue dot is what value on the number line?

Answers

1/2 because it’s half of 12

A punch recipe calls for orange juice and pop in the ratio of 2:5 the recipe requires 1L of Pop to serve 7 people a) how much orange juice is needed for 7 people?
b)about how much orange juice and pop do you need to serve 15 people? 20 people?
plz say how you answered this

Answers

O : P => 2 : 5

(a) 1 liter of pop to serve 7 people

=> 5 units = 1

1 unit = 1 / 5

Orange juice => 2 units

Hence, Orange juice needed is 2 * 1 / 5 = 0.4 liters

(b) If 1 liter of pop is needed to serve 7 people, then we will need (1 / 7) * 15 for 15 people

i.e. 2.14 liters

As the ratio of O : P = 2 : 5,

5 units = 2.14

1 units = 2.14 / 5

For Orange juice, we will need 2 * 2.14 / 5 = 0.856 liters for 15 people

What is the next term in the sequence below?648, 108, 18, 3, . . .

A. 0.5
B. 1.5
C. 1.75
D. 2.5

Answers

The next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

$a_n=ar^(n-1)$