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10 months ago

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