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sladkih [1.3K]
3 years ago
12

Point B on the number line shows Benny's score after the first round of a quiz: A number line is shown from negative 10 to 0 to

positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point B is shown on 2. In round two, he lost 6 points. Which expression shows how many total points he has at the end of round two?
A) 2 + 4 = −6, because −6 is 4 units to the left of 2
B) 2 + (−4) = −6, because −6 is 4 units to the left of 2
C)2 + 6 = −4, because −4 is 6 units to the left of 2
D)2 + (−6) = −4, because −4 is 6 units to the left of 2
Mathematics
1 answer:
Neko [114]3 years ago
7 0
D. <span>2 + (−6) = −4, because −4 is 6 units to the left of 2</span>
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y-18=-2(x+2)^2

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

y-k=a(x-h)^2

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

y-18=a(x+2)^2

Now substitute the point (-5,0) and find the value of a:

0-18=a(-5+2)^2

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Solving for a:

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Thus, the equation of the quadratic function is:

\mathbf{y-18=-2(x+2)^2}

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2 years ago
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then
Masja [62]
A.
\frac{7purple}{9total} *  \frac{2white}{8total}  \\  \frac{14}{72}  \\ =0.194
The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.
\frac{2white}{9total} *  \frac{1white}{8total}  \\  \frac{2}{72}  \\ =0.278
The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
<u />\frac{7purple}{9total} *  \frac{6purple}{8total}  \\  \frac{42}{72}  \\ =0.583
Chance of selecting two white marbles:
\frac{2white}{9total} * \frac{1white}{8total} \\ \frac{2}{72} \\ =0.278
<u>Chance of selecting two purple</u> vs. <em>Chance of Selecting 2 white:</em>
<u>0.583</u>><em>0.278</em>.
It is more likely to select 2 purple marbles.

Hope this helps!
6 0
3 years ago
Read 2 more answers
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