Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answers
The quadratic function f(x) = x² - 5x + 12 has a parabolic graph that opens upwards. It passes through the point (0, 12) and does not contain the point (20, -8).
The quadratic function f(x) = x² - 5x + 12 is a second-degree polynomial with a leading coefficient of 1. It has a graph that is a parabola, which opens upwards since its leading coefficient is positive. The statement "the graph contains the point (0, 0)" is true because the y-intercept is found by evaluating f(0) which equals 12. The statement "the graph contains the point (20, -8)" is false because plugging in x = 20, we get f(20) = 212 which is not equal to -8. The statement "the graph of the function opens down" is false, as stated before, the graph of the function opens upwards.
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Bryan started to evaluate a decimal expression. 2.5(42 ÷ 3.2 – 10(0.2) + 3)– 5.2 2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2 What should Bryan's next step look like?
Answers
Answer:
The answer is 16%
Step-by-step explanation:
use the percent error formula.
in this problem,
e= 75
t=90
substitute and solve.
16%
we are dealing with percents so rounding to nearest whole number will suffice.
hope this helps!
Answers
Answer:
Her second lap was 8% better when compared to her first lap.
Step-by-step explanation:
Given:
Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.
Now, to find how much better was her second lap when compared to her first lap.
Emily ran her first lap in 75 seconds.
Emily ran her second lap in 69 seconds.
So, we get the difference in seconds:
Thus, in her second lap she was 6 seconds better than first.
Now, to get the percentage of her first lap better than second:
Therefore, her second lap was 8% better when compared to her first lap.
Answers
(4x + 5)(5x - 3).
step-by-step explanation:
20x^2 + 25x - 12x - 15 by grouping:
Start with the expression:
20x^2 + 25x - 12x - 15.
Group the terms in pairs, like this:
(20x^2 + 25x) - (12x + 15).
Now, look for the greatest common factor (GCF) in each group:
In the first group
(20x^2 + 25x), the GCF is 5x because both terms are divisible by 5x.
So, factor out 5x: 5x(4x + 5).
In the second group (12x + 15), the GCF is 3 because both terms are divisible by 3.
So, factor out 3: 3(4x + 5).
Now, your expression looks like this:
5x(4x + 5) - 3(4x + 5).
Notice that both groups have the common factor (4x + 5).
Factor this out: (4x + 5)(5x - 3).
So, the factored form of 20x^2 + 25x - 12x - 15 is (4x + 5)(5x - 3)
Answers
Answer: this is ez its
first
second
third
Step-by-step explanation:
Answer:
1st and second, unless you have already learned area of trapezoids. If you have, add third
Step-by-step explanation:
B) SAS
D) ASA
E) AAS
F) HL
G)not congruent
Answers
Answer: E) AAS
Explanation:
AAS stands for Angle Angle Side. The order is important because the side is not between the angles.
The diagram shows that
- angle A = angle D
- angle C = angle F
- side AB = side DE
Items 1 and 2 above correspond to the "A"s of "AAS", while item 3 refers to the "S".
Once again, the order of AAS is important. We don't go for ASA because side AB is not between angles A and C. Same for DE not between angles D and E.
Answers
The angle adjacent to the 100 degree outside the triangle is 80 degrees. We know this because it is a supplementary angle, or an angle that, when added along with another angle’s measurement, makes 180 degrees. The line is straight, so the other angle must be 80 degrees to add up with the 100 to make 180 degrees.
Now that we know the other unknown angle, we can use the fact that the sum of angles within a triangle make 180 degrees. The two angles inside the triangle that we know make 150 degrees (80 plus 50), so the final angle ‘x’ must be 30 degrees (180-150=30).