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3 years ago

5

What type of transformation takes the graph of

1 answer:

Scilla [17]3 years ago

3 0

g(x) is a result of a vertical shift (aka translation) of the graph f(x) down by 3 units.

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The inequality of the graph

fiasKO [112]

Answer:

$\displaystyle y > 4x - 2$

Step-by-step explanation:

Starting from the y-intercept of $\displaystyle [0, -2],$ you do $\displaystyle \frac{rise}{run}$ by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

<em>Greater</em><em> </em><em>than</em>

$\displaystyle 0 > 4[0] - 2 → 0 > -2$ ☑

<em>Less</em><em> </em><em>than</em><em> </em>

$\displaystyle 0 < 4[0] - 2 → 0 ≮ -2$

This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:

$\displaystyle y > 4x - 2$

I am joyous to assist you anytime.

3 0

3 years ago

If y = 45 when x = 180, what is the y when x= 90

bearhunter [10]

Answer:

24.5

Step-by-step explanation:

Since 180 is double 90 divide 45 by 2 and you'll get 24.5

6 0

2 years ago

Coefficient of x^2 in the expansion of (x-3)^3

Mila [183]

Answer:

$-9$

Step-by-step explanation:

$(x-3)(x-3)(x-3)$

$(x^2-6x+9)(x-3)$

$x^3-9x^2+27x-27$

Therefore, the coefficient of $x^2$ is $-9$ .

7 0

2 years ago

Read 2 more answers

Jack is organizing his shots he has 20 pair of socks there are seven pair of black socks eight pair of blue socks and the rest o

katovenus [111]

20 - 7 = 13

8 - 13 = 5

13 + 5 = 18

20 - 18 = 2

So two is your answer because.....

13 + 5 + 2 = 20

8 0

3 years ago

Find the difference (5a^2+4ab-3b^2)-(-5ab+4b^2+3a^2)

Vesna [10]

Answer:

$\boxed{\bold{2a^2+9ab-7b^2}}$

Step By Step Explanation:

Remove Parenthesis: (a) = a

$\bold{5a^2+4ab-3b^2-\left(-5ab+4b^2+3a^2\right)}$

Simplify $\bold{-\left(-5ab+4b^2+3a^2\right)}$

$\bold{5ab-4b^2-3a^2}$

Rewrite Equation:

$\bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}$

Simplify $\bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}$

$\bold{2a^2+9ab-7b^2}$

- Mordancy

8 0

3 years ago

Read 2 more answers