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Svet_ta [14]
10 months ago
6

Question will be in picture

Mathematics
1 answer:
Georgia [21]10 months ago
3 0

Given the graph of a quadratic function

we need to find the solution to the function

The solution is the intersection between the function and the x-axis

As shown in the figure, the intersection between the function and the x-axis are the points:

x = -4 and x = 1

so, the answer will be option 3) -4 and 1

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A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa
tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

= \frac{1235520}{720}

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0
2 years ago
A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cos θ. Start with what
Taya2010 [7]
0x - 12 so she is wrong. 2x hope this helps
5 0
2 years ago
Pls help, due in 4 minutes
Shtirlitz [24]

Answer:

3.8s

Step-by-step explanation:

Solve for h=0, you will get t=3.75

4 0
2 years ago
1/5y + 1/8 =3/20 solve for y
Eddi Din [679]

Answer:

y=\frac{1}{8}

Step-by-step explanation:x_{3}

\frac{1}{5}y+\frac{1}{8}=\frac{3}{20}

multiply both sides

8y+5=6

move the constant to the right

8y=6-5

calculate

8y=1

divide both sides

y=\frac{1}{8} or y=0.125

4 0
3 years ago
Question 5
Mice21 [21]

Answer:

The missing value is 2

Step-by-step explanation:

A direct variation satisfies the equation y=kx.

Since the point (-18, 12) lies on this line, it must satisfy this equation.

\implies 12=-18k

k=-\frac{12}{18} =-\frac{2}{3}

Hence the equation of this line is y=-\frac{2}{3}x

Now we substitute x=-3 to find y.

y=-\frac{2}{3}*-3=2

Therefore the missing value is 2

4 0
3 years ago
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