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3 years ago

(03.04) What is the vertex of the graph of y = −4(x + 2)2 + 5? (1 point) (2, 5) (−2, 5) (5, −2) (5, 2)

Mathematics

1 answer:

Gnoma [55]3 years ago

6 0

Answer:

(-2, 5)

Step-by-step explanation:

The form you're trying to match is the vertex form of the equation of a parabola:

y = a(x -h)^2 +k . . . . . . . vertex (h, k)

You have ...

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

Comparing forms, you see that a=-4, h=-2, k=5.

Then the vertex (h, k) is (-2, 5).

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2.675

Step-by-step explanation:

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3 years ago

Debora [2.8K]

Answer:

the side of a square is 45 m

Step-by-step explanation:

The computation of the side of the square field that contains the similar area as compared with rhombus is given below:

As we know that

Area of rhombus = Base × Altitude

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And, area of Square = Side × side

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Hence, the side of a square is 45 m

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3 years ago

Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees a

Aliun [14]

Answer:

70 groups

Step-by-step explanation:

$5c_{3}*7c_{1}$

$=\frac{5*4*3}{3*2*1} *\frac{7}{1} \\=70$

3 0

3 years ago

PLEASE HELP<br><br>divide. (3x-2)(x-4)-(x-4)(6-5x)<br>/(4-x)(8x-1)

8_murik_8 [283]

Answer:

x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

Step-by-step explanation:

Solve for x:

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = 0

Simplify and substitute y = 4 - x.

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = -434 + 257 (4 - x) - 37 (4 - x)^2

= -37 y^2 + 257 y - 434:

-37 y^2 + 257 y - 434 = 0

Divide both sides by -37:

y^2 - (257 y)/37 + 434/37 = 0

Subtract 434/37 from both sides:

y^2 - (257 y)/37 = -434/37

Add 66049/5476 to both sides:

y^2 - (257 y)/37 + 66049/5476 = 1817/5476

Write the left hand side as a square:

(y - 257/74)^2 = 1817/5476

Take the square root of both sides:

y - 257/74 = sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

y = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Substitute back for y = 4 - x:

4 - x = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Subtract 4 from both sides:

-x = sqrt(1817)/74 - 39/74 or y - 257/74 = -sqrt(1817)/74

Multiply both sides by -1:

x = 39/74 - sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

x = 39/74 - sqrt(1817)/74 or y = 257/74 - sqrt(1817)/74

Substitute back for y = 4 - x:

x = 39/74 - sqrt(1817)/74 or 4 - x = 257/74 - sqrt(1817)/74

Subtract 4 from both sides:

x = 39/74 - sqrt(1817)/74 or -x = -39/74 - sqrt(1817)/74

Multiply both sides by -1:

Answer: x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

7 0

3 years ago

The average cost per person of attending an online class depends on the number of people attending. If 20 people attend, the web

kondaur [170]

Answer:

The last table given See attached image)

Step-by-step explanation:

Notice that they are asking for the inverse function to the one with the detailed relationship given. The original relationship was assigning to the Domain of number of people attending, the Range of values for charges.

Therefore, the inverse function will be assigning in the opposite way: from the average charges (now the Domain of this relationship), to the number of people attending (now the Range of this relationship). The relationship should also maintain the original element to element connection:

What was:

(20, $10) should now be ($10, 20)

(26, $6.25) should now be ($6.25, 26)

(35, $4) should now be ($4, 35)

This is exactly represented by the last table (see also image attached)

5 0

4 years ago

Read 2 more answers