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3 years ago

Help and please explain so I can do it on my own. There are a couple more on this sheet.

Mathematics

1 answer:

Andreas93 [3]3 years ago

8 0

Answer:

(2, -10)

Step-by-step explanation:

so first i find the axis of symmetry using the equation x= -b/2a

in this problem

a=3

b= -12

c= 2

- (-12)/ 2(3) = 2

2 will be the x point for your vertex

you then plug in your x point into the original equation and solve for y

y = 3(2)^2 - 12(2) +2

y = -10

Vertex is then (2, -10)

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Ivanna is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a num

saul85 [17]

Answer:

The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.

I guess that we want to find the expected value in one spin:

number 1: wins $1

number 2: wins $3

number 3: wins $5

number 4: wins $7

number 5: losses $8

number 6: loses $8

The expected value can be calculated as:

Ev = ∑xₙpₙ

where xₙ is the event and pₙ is the probability.

We know that the probability for all the events is 1/6, so we have:

Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0

So the expected value of this game is $0, wich implies that is a fair game.

8 0

3 years ago

Solve, using the substitution method

iren2701 [21]

2x+4y=16
x-7=-4y

4y=16-2x
4y=16-2(-4y+7)
4y=16+8y-14
-4y=2
-4y/-4=2/-4
y=-0,5

2x=16-4(-0,5)
2x=16+2
2x/2=18/2
x=9

C

5 0

4 years ago

14) A cookie recipe calls for 1 pound of butter. How many grams of butter would be needed for

aleksandr82 [10.1K]

Answer:

1360.8

Step-by-step explanation:

1 pound of butter, times three batches is 3 pounds of butter.

Since a pound is approximately 453.6 grams, 3x that would be

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3 years ago

The following two triangles have the same angles, and are similar. What is the ratio of hypotenuse to base for the triangles?

STatiana [176]

Answer:

A) The ratio of hypotenuse to base for the triangles is 0.75

Step-by-step explanation:

Here, the given question is INCOMPLETE.

The following two triangles have the same angles, and are similar. What is the ratio of height to base for the triangles?

A) .75

B) 1.00

C) 1.25

D) 2.50

Here, given that the two triangles are similar.

In triangle one:

Height = 6 units , Base = 8 units

In triangle one:

Height = 3 units , Base = 4 units

Now,as the two given triangles are similar.

⇒Their corresponding sides are PROPORTIONAL.

$\implies \frac{H}{h} = \frac{B}{b} = \frac{6}{8} = \frac{3}{4} = 0.75$

So, in both the triangles, the corresponding side ratio is 0.75.

Hence, the ratio of hypotenuse to base for the triangles is 0.75

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4 years ago

in our school, one out of every three students wears glasses, is there are 936 students, how many students wear glasses?

Naddik [55]

I think 312 but I'm not sure

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4 years ago

Help and please explain so I can do it on my own. There are a couple more on this sheet.​

Help and please explain so I can do it on my own. There are a couple more on this sheet.