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3 years ago

7, 10, 15, 22,......... 406 26 256

1 answer:

5 0

The sequence here start out by adding 3 then 5 then 7
we see an increse of 2 to what we are adding so to get the next one we would add 2 to 7 to get 9 then add that to 22 to get 31

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Mr. Clark wants to pay for his order with a $20 bill, but Jeremy does not have change. Jeremy tells Mr. Clark he will give him t

Dennis_Churaev [7]

Answer:

$20 + $-11.25 = $8.75

Step-by-step explanation:

8 0

3 years ago

Solve. 4x−y−2z=−8 −2x+4z=−4 x+2y=6 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

ladessa [460]

Answer:

(-2, 4, -2)

x=-2, y=4, z=-2.

Step-by-step explanation:

So we have the three equations:

$4x-y-2z=-8\\-2x+4z=-4\\x+2y=6$

And we want to find the value of each variable.

To solve this system, first look at it and consider what you should try to do.

So we can see that the second and third equations both have an x.

Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.

Therefore, let's first isolate the variable in the second and third equation.

Second Equation:

$-2x+4z=-4$

First, divide everything by -2 to simplify things:

$x-2z=2$

Subtract x from both sides. The xs on the left cancel:

$(x-2z)-x=2-x\\-2z=2-x$

Now, divide everything by -2 to isolate the z:

$z=-\frac{2-x}{2}$

So we've isolated the z variable. Now, do the same to the y variable in the third equation:

$x+2y=6$

Subtract x from both sides:

$2y=6-x$

Divide both sides by 2:

$y=\frac{6-x}{2}$

Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:

$4x-y-2z=-8\\4x-(\frac{6-x}{2})-2(-\frac{2-x}{2})=-8$

Distribute the third term. The -2s cancel out:

$4x-(\frac{6-x}{2})+(2-x)=-8$

Since there is still a fraction, multiply everything by 2 to remove it:

$2(4x-(\frac{6-x}{2})+(2-x))=2(-8)$

Distribute:

$8x-(6-x)+2(2-x)=-16\\8x-6+x+4-2x=-16$

Combine like terms:

$8x+x-2x-6+4=-16\\7x-2=-16$

Add 2 to both sides:

$7x=-14$

Divide both sides by 7:

$(7x)/7=(-14)/7\\x=-2$

Therefore, x is -2.

Now, plug this back into the second and third simplified equations to get the other values.

Second equation:

$z=-\frac{2-x}{2}\\ z=-\frac{2-(-2)}{2}\\z=-\frac{4}{2}\\z=-2$

Third equation:

$y=\frac{6-x}{2}\\y=\frac{6-(-2)}{2}\\y=\frac{8}{2}\\y=4$

Therefore, the solution is (-2, 4, -2)

3 0

3 years ago

Read 2 more answers

The table represents a liner function. What is the slope of the function?

Liono4ka [1.6K]

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

$\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

= $\frac{10 - 7}{2 - 1}$

= $\frac{3}{1}$

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

5 0

3 years ago

Read 2 more answers

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coldgirl [10]

Step-by-step explanation:

tangent is the ratio of opposite (o) to adjacent (a). it means when an angle is getting bigger, it will impact to the ratio of o/a and reaching infinite value at the angle 90°.

8 0

3 years ago

13. What is the rule of the function whose<br> graph is shown below?

PtichkaEL [24]

Answer:

x-x-y

Step-by-step explanation:

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2 years ago