The function written in vertex form; f(x) = (x + 3)^2 + 2x. Hence, correct option is D.
A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
x² + 2x + 3 = 0 is a quadratic equation.
An algebra tile configuration showing Only the Product spot is shown. 6 tiles are in the Product spot in 4 columns with 2 rows.
First row: 1 + x squared, 1 + x.
Second row: 1 + x, 3 +.
Then,
The factors of the polynomial are;
(2x + 3) (x + 1)
Thus, the function written in vertex form;
f(x) = (x + 3)^2 + 2x
Hence, correct option is D.
More about the quadratic equation link is given below;
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Answer:
The factors of the polynomial are (2x + 3) (x + 1)
Step-by-step explanation:
Which event has a theoretical probability of exactly Three-fourths? Select three options.
not picking a square
picking a square
picking a triangle
picking a shape that has only straight edges
not picking a circle
Theoretical probability formula: Favorable Outcomes/All Possible Outcomes
So let's find the theoretical probability for each option.
"Not picking a square"
So, there are 2 squares out of the 8 total shapes (2 circles + 4 triangles + 2 squares) So do 8-2=6... This is subtracting the number of squares out. So we are now left with 6/8.. Reduce the fraction: GCF is 2, so 6/8 simplifies to 3/4. So, "Not picking a square" is an option!
"Picking a square"
Okay so there are 2 squares (favorable outcome) out of 8 shapes in total (all possible outcomes) so the fraction is 2/8. Now simplify: GCF = 2, so 2/8 = 1/4. "Picking a square" is NOT an option
"Picking a triangle"
There are 4 triangles out of 8 shapes, so the fraction is 4/8 which = 1/2. The theoretical probability of picking a triangle is 1/2 and thus NOT an option.
"Picking a shape that has only straight edges"
So this basically means every shape that's not a circle. So, there are 4 triangles + 2 squares = 6 total shapes with straight edges. So there are 6 shapes with straight edges out of 8 total shapes: 6/8 reduces to 3/4. "Picking a shape that has only straight edges" IS an option! :D
LASTLY!
"Not picking a circle"
There are only 2 circles out of 8 total shapes, so 8-2=6 so the fraction is 6/8. This reduces to 3/4. "Not picking a circle" Is an option!
CORRECT ANSWERS:
Not picking a square
Picking a shape that has only straight edges
Not picking a circle
Have a good day!
Answer:
A, D, and E
Step-by-step explanation:
got it right on edge
Answer:
no
Step-by-step explanation:
Answer:
here hope this helps please mark brainly
Step-by-step explanation:
Thanks for any help
Answer:
20/18
Step-by-step explanation:
Answer:10/9 exact form mixed # 1 1/9
Step-by-step explanation:reduce the expression, if possible, by cancelling the common factors.
Answer:
11/20
Step-by-step explanation:
total=20
11=boys
9=girls
p(b)=11/20