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3 years ago

13

PLZ HELP ASAP Point Z is 3 units away from the origin on the x-axis. What could be the coordinates of point Z?

1 answer:

kipiarov [429]3 years ago

3 0

Answer:

(0,3), (1,3), (2,3), etc

Step-by-step explanation:

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George is planning a shopping trip to purchase vegetable oil. 20 Oz. vegetable oil costs $2.47, 32 Oz. vegetable oil costs $2.99

77julia77 [94]

A. 20 for $2.47 is about 12 cents per ounce (0.1234)

32 oz for $2.99 is about 9 cents per ounce (.093)

40 oz for $3.79 is about 9 cents an oz (0.095)

B. The best deal is 32 ounce for $2.99 but not by much over 40 oz for 3.79

6 0

3 years ago

For one English test, sandy had to answer 15 questions. Of these questions, she answered 80 percent of them correctly. How many

Rudik [331]

Answer:

12

Step-by-step explanation:

15×0.8= 12

you're multiplying the total number of questions with the score as a decimal

6 0

3 years ago

A research center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The su

Oxana [17]

Answer:

0.81

Step-by-step explanation:

Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:

1,620/2,000

= 0.81

So, the point estimate is 0.81

6 0

3 years ago

Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo

mart [117]

Answer:

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Step-by-step explanation:

Given:

$y = -6x^2 + 3x + 2$

Required

Rewrite in vertex form

The vertex form of an equation is in form of: $y = a(x - h)^2+ k$

Solving: $y = -6x^2 + 3x + 2$

Subtract 2 from both sides

$y - 2 = -6x^2 + 3x + 2 - 2$

$y - 2 = -6x^2 + 3x$

Factorize expression on the right hand side by dividing through by the coefficient of x²

$y - 2 = -6(x^2 + \frac{3x}{-6})$

$y - 2 = -6(x^2 - \frac{3x}{6})$

$y - 2 = -6(x^2 - \frac{x}{2})$

Get a perfect square of coefficient of x; then add to both sides

------------------------------------------------------------------------------------

<em>Rough work</em>

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

To balance the equation, the same expression must be added to the other side of the equation;

Equivalent expression is: $-6(\frac{1}{4})$

------------------------------------------------------------------------------------

The expression becomes

$y - 2 -6(\frac{1}{4})= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{6}{4}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

Factorize the expression on the right hand side

$y - 2 -\frac{3}{2}= -6(x - \frac{1}{2})^2$

$y - (2 +\frac{3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{4+3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{7}{2})= -6(x - \frac{1}{2})^2$

$y +\frac{7}{2} = -6(x - \frac{1}{2})^2$

Make y the subject of formula

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

<em>Solved</em>

7 0

4 years ago

Read 2 more answers

If a square has an area of 324 ft what is the length of each side

AlexFokin [52]

Answer:

162

Step-by-step explanation:

324/2 because a square has sides that are all equal, so the area is 2 times the length of a side

8 0

3 years ago

Read 2 more answers