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2 years ago

( 5^2 2 ) plus 3^ 3 4

Mathematics

1 answer:

-Dominant- [34]2 years ago

4 0

So, 5/2 could also be written as 2.5.

2.5^2 or 2.5 x 2.5 = 6.25

3/4^3 is 3/4 x 3/4 x 3/4

3/4 x 3/4 x 3/4 = 0.46875

6.25 + 0.46875 = 6.71875!

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Vertex form is f(x)=a(x-p)^2 +q. How do i determine a?

slamgirl [31]

Y1 is the simplest parabola. Its vertex is at (0,0) and it passes thru (2,4). This is enough info to conclude that y1 = x^2.

y4, the lower red graph, is a bit more of a challenge. We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).

Let's try this: assume that the general equation for a parabola is
y-k = a(x-h)^2, where (h,k) is the vertex. Subst. the known values,

-3-(-4) = a(2-0)^2. Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.

The equation of parabola y4 is y+4 = (1/4)x^2

Or you could elim. the fraction and write the eqn as 4y+16=x^2, or

4y = x^2-16, or y = (1/4)x - 4. Take your pick! Hope this helps you find "a" for the other parabolas.

8 0

2 years ago

Find the range of the following piecewise function.

mash [69]

Answer:

$\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}$

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

$y=3x-2\ \text{if}\ -1\leq x$

Substitute x =-1 and x = 0:

$x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2$

Range of this piece is [-5; -2)

$y=2x+3\ \text{if}\ 0\leq x$

Substitute x =0and x = 5:

$x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13$

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

$[-5;\ -2)\ \cup\ [3;\ 13)$

Look at the picture.

6 0

2 years ago

Kyle received the following course grades for 10 (three-credit) courses during his freshman year:

timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

$Average=\frac{\sum x}{n}$

$Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}$

$Average=2.5$

Therefore the average grade point is 2.5.

(b)

$\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}$

The relative frequency table is show below:

x f Relative frequency

4 3 $\frac{3}{10}=0.3$

3 3 $\frac{3}{10}=0.3$

1 4 $\frac{4}{10}=0.4$

(c)

Mean of the relative frequency distribution is

$Average=\frac{0.3+0.3+0.4}{3}$

$Average=0.3333$

Therefore the mean of the relative frequency distribution is 0.3333.

4 0

2 years ago

Trina and her mom are planting 45 plants in their garden.if their garden is 9 square feet how many plants can they put in each s

timurjin [86]

45÷9=5 they can put 5 plants in each square feet.

7 0

2 years ago

Evaluate 2b^2-4a+4a^2 for a= 3 and b= -8

masha68 [24]

Given a = 3 and b = - 8 ,

= > 2b² - 4a + 4a²

= > 2( - 8 )² - 4( 3 ) + 4( 3 )²

= > 2( 64 ) - 4( 3 ) + 4( 9 )

= > 128 - 12 + 36

= > 116 + 36

= > 152

$\:$

5 0

2 years ago

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