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3 years ago

12

Can you find two different integers A and B so that

E%7Ba%7D%20" id="TexFormula1" title=" {a}^{b} = {b}^{a} " alt=" {a}^{b} = {b}^{a} " align="absmiddle" class="latex-formula"> ???

1 answer:

enyata [817]3 years ago

7 0

4 solutions:
$(2 ,4) ,(4 ,2) , ( - 2 , - 4) ,( - 4 , -2)$

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15 POINTS‼️‼️‼️<br><br> Part B: Solve for x. Show your work.

Musya8 [376]

Answer:

Step-by-step explanation:

A straight line adds up to 180 degrees, therefore 3x+6x = 180

9x = 180

x = 20

7 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

4 years ago

Read 2 more answers

A car has a gasoline

Delvig [45]

Answer:

Yes, look at the explanation:

Step-by-step explanation:

Calculate how many miles a car can drive with 1 gallon: 285 miles ÷ 10 = 28.5 miles with one gallon
Divide 500 by 28.5 to calculate how many gallons are needed: 500 ÷ 28.5 ≈ 17.543 - Therefore yes, it is possible because the car uses about 17.543 gallons of gasoline for 500 miles.

8 0

3 years ago

Suppose restaurant A's chicken salad contains 6more grams of fat than restaurant B's chicken salad. Find the number of grams o

LenKa [72]

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

$x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25$

4 0

3 years ago

2/3x-2=7 answer…………………

marishachu [46]

Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Solve for x 2/3x-2=7

2

3

x

−

2

=

7

Combine

2

3

and

x

.

2

x

3

−

2

=

7

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

2

x

3

=

9

Multiply both sides of the equation by

3

2

.

3

2

⋅

2

x

3

=

3

2

⋅

9

Simplify both sides of the equation.

Tap for more steps...

x

=

27

2

The result can be shown in multiple forms.

Exact Form:

x

=

27

2

Decimal Form:

x

=

13.5

Mixed Number Form:

x

=

13

1

2

Step-by-step explanation:

Thank's………………………………

5 0

2 years ago