What is the area, in square centimeters, of the shaded part of the rectangle

Does this graph represent a function? Why or why not?

jek_recluse [69]

No, because it is not a straight line

8 0

2 years ago

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Which of the following will generate a graph that is 3 units to the left of y = x3?

Mamont248 [21]

Answer:

(3) y=(x+3)

Step-by-step explanation:

I'm not sure what is the parent function, but in most graphs if you will shift it to the left or right (negative sign or positive sign, respectively), it will be inside a parenthesis and the opposite sign is the real movement.

For a cubic function these will be the movements:

f(x)=(x+/-h)^3+/-k

Only the opposite sign of h will be the real movement, while k's sign will automatically indicate the correct movement.

h= x-axis movement (horizontal, inside of the parenthesis in the equation)

k= y-axis movement (vertical, outside of the parenthesis in the equation)

Hope it helps

4 0

2 years ago

This one is a tough one. If you can explain it to me that’ll me great.

Crazy boy [7]

Answer:

C. 73 if I have read the given angle measurements correctly.

The angle measurements I see are:

$219^\circ$

$(x-50)^\circ$

$(x+45)^\circ$ .

Step-by-step explanation:

Those angles together form a full rotation. A full rotation is equal to 360 degrees.

So we have the following equation to solve:

$219+(x-50)+(x+45)=360$

Combine like terms:

$(x+x)+(219-50+45)=360$

Simplify:

$2x+(219-5)=360$

$2x+214=360$

Divide both sides be 2:

$x+107=180$

Subtract 107 on both sides:

$x=180-107$

$x=73$

5 0

2 years ago

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the sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger

Reil [10]

<h2>Answer:</h2>

$x\geq 3 \ and \ x+1 \geq 4$

<h2>Step-by-step explanation:</h2>

The question in this problem is:

<em>The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?</em>

<em />

First of all, let's name the first variable $x$ which is the smaller number. Accordingly, the lager number will be $x+1$ given that those numbers are consecutive. On the other hand<em> at most </em>conveys the idea of an inequality, which is:

$\leq \\ which \ means \ less \ than$

So:

1. The sum of 2 consecutive integers can be written as:

$v+(v+1)$

2. Nine times the smaller and 5 times the larger can be written as:

$9v-5(v+1)$

Finally, the whole statement:

The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:

$x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\$

$x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\ \frac{6}{2} \leq \frac{2x}{2} \\ \\ 3 \leq x \\ \\ x\geq 3 \\ \\ and \\ \\ x+1 \geq 4$

The two numbers are:

$x\geq 3 \ and \ x+1 \geq 4$

6 0

2 years ago

I am wondering Jake finished race at 24.53 18.44 Lacie finished the race at 18.44. What is the difference between Lacie's time a

Dvinal [7]

Answer:

The difference between the times is just 6.09

Step-by-step explanation:

Here, we are interested in finding the difference between the times when two athletes finished their races.

While one finished at 24.53, the other finished at 18.44; So the difference between the two will be calculated by subtracting the time which was less from the time which was more;

Mathematically, that would be 24.53 - 18.44 = 6.09

4 0

2 years ago