Write an inequality for the following, more than 2,500 people can attend the convention

Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3.

Vedmedyk [2.9K]

$y = \frac{1}{24}(x+1)^2 - 3\\\\y+3 =\frac{1}{24}(x+1)^2\ \ / *24\\\\ (x+1)^2 = 24(y+3)$

This is an equation of a parabola that opens upwards.

$Its \ standard \ form: \\(x-h)^2=4p(y-k)\\ (h,k)=(x,y) \ coordinates \ of \ the \ vertex\\\ (h,k)=(-1,-3) \\\\axis \ of \ symmetry: \ x= -1\\ \\4p=24\ \ /:4\\p=6$

$focus:(h,k+p)=(-1,-3+6)=(-1,3) \\ \\directrix: \ y=k-p=-3-6=-9$

6 0

3 years ago

Read 2 more answers

What is 92x+45x equals

Leni [432]

137x!
When combining like terms, variables do not matter unless they are different!

6 0

3 years ago

I'm confused What is the answer?

forsale [732]

If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.

If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.

Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.

Note that we can also interpret the translation as

• a shift upward of a - b units, since

(x + a) - b = x + (a - b)

• a shift b units to the right and a units upward, since

(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.

6 0

3 years ago

Theos mom bought an eight pack of juice boxes for 4 dollars find the unit rate

riadik2000 [5.3K]

Answer:

$0.50 for a pack of juice.

Step-by-step explanation:

You are finding the unit rate of the cost of each unit, or one box of juice. In this case, there is 8 juice boxes in the pack, which costs you $4. Divide 4 with 8:

4/8 = 1/2 = 0.5

$0.50 is the cost per pack of juice.

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3 0

3 years ago

1 point

galina1969 [7]

Answer:

(B) 20

Step-by-step explanation:

Let small puppet be represented by-----------------s

Let large puppet be represented by-----------------l

Total number of puppets expression will be: s+l =25---------a

The expression for total costs will be : 1$ s + $2l=$30-------b

Equation a can be written as; s= 25-l ------------c

Use equation c in equation b as

$1( 25-l )+$ 2l = $30

25-l + 2l = 30

25+l =30

l= 30-25 =5

l, large puppets = 5

s, small puppets = 25-5 = 20

Answer choice A is incorrect because 25 is the total number of all puppets

Answer choice C and D are incorrect because the numbers are less that that of small puppets.

3 0

3 years ago