MATHEMATICS MIDDLE SCHOOL

Derick studied 13 1/2 hours this week for a spelling bee. Write the number of hours as a decimal.

Answers

Answer 1

Answer:

Answer:

13.5

Step-by-step explanation:

When you convert fraction numbers to decimal numbers, remember they are written like this:

whole . parts

In 13 1/2, you have 13 wholes and 1/2 parts. The decimal number would look like 13 . parts

To find the decimal for 1/2, put into your calculator 1 ÷ 2. The answer will be 0.5 Write "5" for parts. The decimal where 0.5 is will line up with the decimal in the decimal number.

13.5

Derek studied 13.5 hours for the spelling bee.

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Which of the following equations best describes a square root function that is reflected across the x-axis and has a vertex of (−4,2)?A. $y=√(-(x-4)) +2$

B. $y= -√(x+2)-4$

C. $y=-√(x+4) +2$

D. $y=-√(x-4) +2$

Answers

Answer:

Step-by-step explanation:

Rather than picking, let's try to construct one from the description.

reflected over the x axis means - $√(x)$

the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.

To move left and right you use $√(x-h)$ where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.

To move up and down we use $√(x)+v$ Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2

So now we put them all together $-√(x+4)+2$ And if you look, C matches that exactly.

What is the solution of the system of equations shown below? y = –x + 3
y = 4x – 2

A. (0, 3)
B. (1, 2)
C. (2, 1)
D. (0, −2)

Answers

Answer:

B. (1,2)

Step-by-step explanation:

y = –x + 3.......(1)

y = 4x – 2.......(2)

Putting (1) into (2)

-x + 3 = 4x - 2

4x + x = 3 + 2

5x = 5

x = 5/5

x = 1

And putting x = 1 in (1)

y = -x + 3

y = -1 + 3

y = 2

Answer:

B. (1, 2)

Step-by-step explanation:

YEP!! YOUR ANSWER IS B (1, 2)

Putting (1) into (2)

-x + 3 = 4x - 24x + x = 3 + 2

5x = 5

x = 5/5

x = 1

And putting x = 1 in (1)

y = -x + 3

y = -1 + 3

y = 2

Which of the binomials below is a factor of this trinomial?
x^2-10x-39

Answers

Answer:

x-13

Step-by-step explanation:

Answer:

x-13

Step-by-step explanation:

took it

What are the intercepts of 2x + 3y – 6z = 30?

Answers

Intercept of equation 2x + 3y - 6z = 30 is (15, 0, 0) , (0, 10, 0) and (0, 0, -5)

Solution:

Given equation is:

2x + 3y - 6z = 30

We have to find the intercepts

Intercept are the point where equations cut the x- axis, y- axis and z- axis.

Thus, at x- axis:

y and z both are zero

So substitute y = 0 and z = 0 in given equation

2x + 3(0) - 6(0) = 30

2x = 30

x = 15

Thus the intercept is (15, 0, 0)

Thus at y - axis:

x and z both are zero

So substitute x = 0 and z = 0 in given equation

2(0) + 3y -6(0) = 30

0 + 3y + 0 = 30

3y = 30

y = 10

Thus the intercept is (0, 10, 0)

Thus at z - axis:

x and y are both zero

So substitute x = 0 and y = 0 in given equation

2(0) + 3(0) - 6z = 30

-6z = 30

z = -5

Thus the intercept is (0, 0, -5)

Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)

(t+8)(-2) = 12 what does t equal

Answers

T = -14

-2(8 + T) = 12 (8 * -2 + T * -2) = 12 (-16 + -2T) = 12

Answer:

surfergirl your a life saver yes you are

Step-by-step explanation:

Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002.