MATHEMATICS HIGH SCHOOL

3x(-8)=29 what is x?

Answers

Answer 1

Answer: The variable X is -29/24

Answer 2

Answer:

Answer: X= -29/24

(picture below shows my work but I just put it as a fraction)

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A parabola is defined by the equation (x − 5)2 = 12(y + 2). In which direction will the parabola open?

Answers

Since the equation is in the form:
(1/a)(y – k) = (x – h)2

Then, the parabola will open either upward or downward. To tell which direction will the parabola open, the coefficient of the term:
(y – k)
must be inspected.

The coefficient is 12 and it is a positive number, therefore, the parabola will open upward.

Find f(a-2) when f(x)=x^2-1

I forgot how to do these so please show all steps

Answers

$f(a-2)=(a-2)^2-1=a^2-4a+4-1=a^2-4a+3$

A) Draw a number line from 0 to 2. Then draw and label the points 2 and 0.2. B) use the number line to explain why 2 is 10 times the value of 0.2

Answers

Answer:

See attachment

Step-by-step explanation:

A) We draw the number line as shown in the attachment with intervals of 0.2 from 0 to 2.

B) Observe that, from 0 to 0.2 you move one units to get to 0.2.

From 0 to 2, on the number line with intervals of 0.2, you move 10 units from 0.

This means that:

$2 = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2$

This gives us:

$2 = 0.2(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)$

Then finally we have:

$2 = 0.2(10)$

By the commutative property of multiplication:

$2 = 10 * 0.2$

Need to find common denominators for 58/2.9 and 58/5

Answers

The smallest common denominator is 2.9 x 5 = 14.5

The smallest common denominator would be 5 times 2.9 which is 14.5

5x+y=2 2x3y=62
whatn is x and y

Answers

5x + y = 2 ⇒ 10x + 5y = 4
2x + 3y = 62 ⇒ 10x + 15y = 310
         -10y = -306
      -10 -10
   y = -30.6
      5x - 30.6 = 2
   +30.6 +30.6
      5x = 32.6
   5 5
      x = 6.52
   (x, y) = (6.52, -30.6)

ok sure!
first we have to find y

so...
lets start with the first one:

5x+y=2 (we cannot have two variables together so:
5x+y=2
-y =-y so.. now we have 5x= 2-y (but we must get y positive and by itself!)
-2 = -2
so: now you have
5x-2=-y but need a positive variable so multiply each side by a (-1)
(-1) 5x-2=-y (-1) So..
-5x +2 =y so now we know Y!
therefore whenever you see why in the next problem insert in its place: -5x +2

I hope it helps!! :)

Amy got a $1,000 loan from her bank, and she had to repay $1,550. What are the principal and interest amounts in this transaction?