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Svet_ta [14]
2 years ago
15

5x + 1/2 y^2 What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive

full credit.
Mathematics
1 answer:
algol [13]2 years ago
7 0

Answer:

16

Step-by-step explanation:

5x+1/2y^2

5(3)+1/2(2)^2

15+1^2

15+1=16

You might be interested in
Why is 6/8 greater than 5/8 but less than 7/8
My name is Ann [436]
Simple!

Since we can observe that they all have the same denominators (bottom part) we can just observe the numerator (top part)

6 is indeed greater than 5, yes? So we can safely say that

6/8 > 5/8

Now the for the second part. 

6 is smaller than 7, yes? So we can make the observation that

6/8 < 7/8

Hope that makes sense! (Be sure to thank me, plz)

P.S. If you want an example of unlike denominators, let me know. <span />
7 0
3 years ago
Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=
RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

6 0
2 years ago
The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18
Kisachek [45]
Here, z = kx

k = z/x
k = 228/12
k = 19

So, when x = 18, 
z = 19 * 18
z = 342

In short, Your Answer would be: 342

Hope this helps!
8 0
2 years ago
Can you help me please
notsponge [240]

9514 1404 393

Answer:

  1. reflection across the origin
  2. rotation 180° about the origin
  3. reflection across the x-axis, and translation right 6 units

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

  1. reflection across the origin

  2. rotation 180° about the origin

  3. reflection across both x- and y-axes, in either order

__

The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

  4. reflection across the x-axis and translation 6 units right, in either order

8 0
3 years ago
Pls help me i dont get it :(
ValentinkaMS [17]

Answer:

7.alternate interior

x=64

8. same side interior

x=12

same side exterior

x=12

3 0
3 years ago
Read 2 more answers
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