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2 years ago

What is the equation of the axis of symmetry of this parabola? y=-5(x+4)^2+3

Mathematics

1 answer:

Ede4ka [16]2 years ago

4 0

Answer:

$x=-4$

Step-by-step explanation:

Given the equation of parabola

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

This is the vertex form of the parabola equation. Hence, the vertex of the parabola is at point $(-4,3)$

This parabole goes downwards in y-direction (the leading coefficient -5 is negative)

The axis of symmetry of parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Thus, the equation of the axis of symmetry is

$x=-4$

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Which of the following expressions is written in simplest form

nadya68 [22]

Answer: I x^2 y^3 z

Step-by-step explanation:

This is the one most simplified. I’ll tell you why the others are incorrect.

F) 3^5 x^2 can be simplified. 3^5= 243. The simplified answer would be 243 x^2

G) (5y)^3= 125y^3

H) a^0 b (^0= 1 always) -> ab

Hope this helps!

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2 years ago

Write the circumference of a circle with a diameter of 49 inches in terms of pi

AleksAgata [21]

Answer:

153.94

Step-by-step explanation:

c=2r*r

The radius is half of the diameter.

To find the radius you will divide 49 inches by 2.

You should get a total of 24.5

Now that you have your radius you are going to use the circumference formula to solve.

C= 2r*r

C=2(24.5)*(24.5)

type that into the calculator (without the parenthesis) and boom your done!

You answer should be 153.938

then you round to get a total of 153.94

I hope i was able to help!

5 0

2 years ago

Read 2 more answers

Select all the inrational numbers from the list

snow_tiger [21]

B is one.

A < C and D are rational

Im thinking about E. It looks like a recurring decimal at first sight but I think its irrational.

8 0

3 years ago

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4 2/3 miles in 3/4 hour 4/23 divided by 3/4 ? NEED FAST ANSWERS !

scZoUnD [109]

Answer:

= 12 miles per hour

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

12 miles

1 hour

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5 0

2 years ago

The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i

Julli [10]

Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

$P(n)=-5n^2+400n-6000$

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

$\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}$

Solve the resulting quadratic equation above

$\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}$

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

4 0

1 year ago