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3 years ago

Y=x y=2x+9how do I do it

1 answer:

3 0

Substitute for y in the second equation so x=2x +9, then subtract x from both sides so that 0=x+9, then subtract 9 from both sides and you get x= -9

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Which parent functions have an intercept at (0,0)Choose all that are correct.

inessss [21]

Answer:

Linear, Quadratic, Radical, Absolute Value, Cubic, Cube Root

Step-by-step explanation:

To find:

Which functions have an intercept at (0, 0).

That means, when we put a value $x=0$ in the $y =f(x)$ , value of $y=0$ .

Let us discuss each <em>parent</em> function one by one:

1. Linear:

$y = x$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

2. Quadratic:

$y = x^2$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

3. Radical:

$y = \sqrt x$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

4. Absolute Value:

$y = |x|$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

5. Rational:

$y = \dfrac{1}{x}$

When we put $x = 0\Rightarrow y \rightarrow \infty$

Therefore, it does not have intercept at (0, 0).

6. Exponential:

$y = b^x$

b is any base

When we put $x = 0\Rightarrow y =1$

Therefore, it does not have intercept at (0, 0).

7. Logarithmic:

$y = logx$

When we put $x = 0 \Rightarrow y\rightarrow$ Not defined

Therefore, it does not have intercept at (0, 0).

8. Cubic:

$y = x^3$

When we put $x = 0\Rightarrow y =0$

Therefore, it has intercept at (0, 0).

9. Cube Root:

$y = \sqrt[3]x$

When we put $x = 0\Rightarrow y =0$

Therefore, it has intercept at (0, 0).

3 0

3 years ago

Simplify the expression. Write the answer using scientific notation. (7 × 105)2 a. 4.9 × 1010 b. 4.9 × 1011 c. 4.9 × 109 d. 49 ×

nataly862011 [7]

Answer:

b. 4.9 × 1011

Step-by-step explanation:

Using scientific notation is similar to expressing in standard form. Given that (7 × 105)2

We open the parenthesis. This may first be expressed as

7² × 10⁽⁵⁾²

Then expand,

= 49 × 10¹⁰

To put in scientific notation, 49 = 4.9 × 10

Hence the expression becomes

= 4.9 × 10 × 10¹⁰

Using the laws of indices

= 4.9 × 10¹¹ in scientific notation

6 0

3 years ago

Determine the slope of each line.

viva [34]

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

∴ x1 = -6 and y1 = 5

∴ x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = $\frac{-3-5}{-4--6}$

∴ m = $\frac{-8}{-4+6}$

∴ m = $\frac{-8}{2}$

∴ m = -4

∴ The slope of the given line is -4

3 0

3 years ago

In a test, John was able to answer 15 correct out of 40 questions. Beth was able to answer 24 questions correctly out of 50. Mic

Helen [10]

Answer:

that is wrong beth has a better score

Step-by-step explanation:

14 out of 40 is 37.5%

and 24 out of 50 is 48%

4 0

3 years ago

Solve the question in the picture below. Thank you.

xxTIMURxx [149]

The answer is 8 units. Hope this helps:)

7 0

3 years ago

Read 2 more answers