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malfutka [58]
3 years ago
9

Please help

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

Option A:

y = 3*(x - 5)^2 - 4

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

with the vertex (h, k), we can rewrite the function as:

such that:

h = -b/2*a

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

Here we have the function:

y = 3*x^2 - 30*x + 71

the x-value of the vertex will be:

h = -(-30)/(2*3) = 30/6 = 5

And k is given by:

k = y(5) = 3*(5)^2 - 30*5 + 71 = -4

Then the vertex is:

(5, - 4)

And we can rewrite the equation in the vertex form as:

y = 3*(x - 5)^2 + (-4)

y = 3*(x - 5)^2 - 4

Then the correct option is A.

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A sampling of hemlock trees revealed that 7 out of 190 trees are infected with insects. About how many of the 950 hemlock trees
nignag [31]

Answer:

About 35 trees in a state park are infected with insects

Step-by-step explanation:

we know that

7 out of 190 trees are infected with insects

so

using proportion

Find out about how many of the 950 hemlock trees in a state park are infected with insects

\frac{190}{7}=\frac{950}{x} \\\\x=7(950)/190\\\\x= 35

therefore

About 35 trees in a state park are infected with insects

3 0
3 years ago
Deijah gave Isaiah $6.25 in nickels and quarters. If 12 coins were quarters, how many coins were nickels? Which equation models
dem82 [27]
Deijah has $6.25. 

Now, this 6.25 is comprised of 0.05s and 0.25s. 
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We now want to know how many remaining 0.05s there are.

Again, we know that the number of 0.05s he has, which is 12, multiplied by 0.05, plus the number of 0.25s he has, multiplied by 0.25, equals 6.25.

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3 years ago
11. What is the value of x in the figure at the right? (Examples 3 and 4)
natka813 [3]

Answer:

x = 11

Step-by-step explanation:

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Therefore, 15x + 15x + 15 + 15 = 360

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3 years ago
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Phantasy [73]
The answer is d positive
4 0
2 years ago
Can someone help me with this question please (brainiest and 50 points)
sergiy2304 [10]

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Hope this helped! :D

5 0
2 years ago
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