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3 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

Crank3 years ago

6 0

Answer:

y = 1/-20 (x-2) - 5

Step-by-step explanation:

Focus = (a,b) = (2,-4)

So a = 2, b = -4

Directrix: y = -6

But y = k

So k = -6

Finding Standard Form of Equation for parabola

y = (1/2(b-k))(x-a)²+(1/2)(b+k)

y = (1/2(-4-6))(x-2)+(1/2)(-4-6)

y = (1/2(-10))(x-2)+(1/2)(-10)

y = (1/-20)(x-2)+(-5)

y = 1/-20 (x-2) - 5

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Find the domain of the graphed function -4-4 x is all real numbers

andrezito [222]

Domain and range:

The domain of a function is all the values the the input assumes.

The range of a function is given by all the values that the output assumes.

In a graphic:

The domain is given by the x-values, the horizontal axis.

The range is given by the y-values, the vertical axis.

In this question:

x, in the horizontal axis, assumes values between -4 and 2.

The closed circle at x = -4 and x = 2 indicates that these values are part of the interval.

Thus, the domain of the graphed function is: $-4 \leq x \leq 2$ , and the correct answer is given by option D.

For more about domain and range of functions, you can check: brainly.com/question/21853810?referrer=searchResults

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3 years ago

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Aaron wants to buy a bicycle that costs $128. So far he has saved $56 the equation of 8 + 56 equal 128 can be used to find the a

lutik1710 [3]

Answer:

Aaron still needs to save $9

Step-by-step explanation:

Assuming the equation is 8a + 56 = 128

8a + 56 = 128

8a = 128 - 56 = 72

8a = 72

a = 72/8 = $9

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4 years ago

A car uses 8 gallons of gas to travel 310 miles. determine the constant of proportionality and write an equation:

Allisa [31]

Answer: 38.75x = y

Step-by-step explanation:

You divide 310 by 8 which gives you 38.75.

310/8 = 38.75

8 0

4 years ago

Pls help me!! Worth 50 points and will give brainliest

kolbaska11 [484]

Answer:

<h2>A) 2 years at 3% interest = $10,617.57</h2>

Step-by-step explanation:

loan amount (P) = $10,000

interest is compound monthly :

A = P (1 + r/n)^n*t

find:

which of these loan terms will have the lowest total cost?

A) 2 years at 3% interest

B) 3 years at 3% interest

C) 4 years at 3% interest

D) 5 years at 3% interest

solution:

plugin the values into the formula to get the accumulated monthly interest.

A. using 2 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²

= $10,617.57

B. using 3 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³

= $10,940.51

C. using 4 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴

= $11.273.28

D. using 5 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵

= $11,616.17

therefore, based on the above terms, option A which is $10,617.57

has the lowest accumulated monthly interest. (total cost)

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4 years ago

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If the parent function f(x) = x2 is modified to g(x) = 2x2 + 1, which statement is true about g(x)?

satela [25.4K]

F ( x ) = x² ( the parent function )
f ( x ) is an even function.
g ( x ) = 2 x² + 1
g ( - x ) = 2 ( - x )² + 1 = 2 x² + 1
Answer:
A ) It is an even function

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3 years ago