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2 years ago

9

What is the equation of the function represented by this graph?

1 answer:

gayaneshka [121]2 years ago

6 0

Answer:

$\displaystyle g(x) = -(x + 2)(x - 4)$

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is <em>down</em>, so you insert a negative in front of the expression. Next, locate your <em>x-intercepts</em> [<em>zeros</em> (where the graph insects the x-axis)]. You will see that the graph intersects $\displaystyle [-2, 0]$ and $\displaystyle [4, 0],$ so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, $\displaystyle y = A[x - h]^2 + k,$ that negative in front of $\displaystyle h$ gives you the OPPOCITE outcome, so be careful.

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title=" \frac{5}{12}" alt=" \frac{5}{12}" align="a

Tasya [4]

Answer:

About 0.417

Step-by-step explanation:

8 0

3 years ago

Can someone help me?

strojnjashka [21]

Answer:

Choice C is correct.

Step-by-step explanation:

put point A in (x+1,y-3)

now (-6,4) becomes (-5,1).

put point C in (x+1,y-3)

now (2,1) becomes (3,-2)

put point B in (x+1,y-3)

now (-3,-2) becomes (-2,-5).

3 0

4 years ago

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How do you write 0.3 as a fraction?

dimaraw [331]

Answer:

3/10

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alexandr1967 [171]

Answer:

22.4

Step-by-step explanation:

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3 years ago