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bearhunter [10]
4 years ago
8

How many solutions does 3(x+5)=-4x+8 have?

Mathematics
1 answer:
nadezda [96]4 years ago
6 0

Answer:

1 Solution  [the solution is x = -1]

Step-by-step explanation:

We can use the distributive property [ a(b+c) = ab + ac ] and a little algebra to solve the equation.

The steps are shown below:

3(x+5)=-4x+8\\3x+15=-4x+8\\3x+4x=8-15\\7x=-7\\x=\frac{-7}{7}\\x=-1

By solving this equation, we see that there is ONLY 1 SOLUTION to this equation.

<u>Note:</u> whenever we have a linear equation (highest power of x is 1, such as this one), there will be one solution. If the highest power of x was 2, e.g. Quadratic, there would have been 2 solutions to that.

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qaws [65]

Answer:

The perimeter is 37

Step-by-step explanation:

there you go

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3 years ago
Which equation satisfies all three pairs of a and b values listed in the table?
Tom [10]

Answer:

y = 3x -10

Step-by-step explanation:

The function seems to increase at a constant rate of 3 units. This means that the equation that satisfies these points could be that of a straight line.

We use the first two points to find the slope of the line.

(0, -10)

(1, -7)

(2, -4)

The equation of a line is:

y = mx + b

Where m is the slope of the line and b is the cutoff point with the y axis.

To find the slope of a line we use the following equation:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-7 - (- 10)}{1-0}

m = 3

So:

y = 3x + b

The cut point (b) is found by replacing in the previous equation, any of the three points provided and clearing b.

-7 = 3(1) + b

b = -10

Now we can write the equation of the line sought.

y = 3x -10

You can verify that the three points provided belong to this equation.

7 0
4 years ago
Read 2 more answers
If one side of a square 2x-1 in, what is the perimeter in terms of x
Vesnalui [34]
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5 0
3 years ago
Plzzz help! what expersion is equivalent to it?
sladkih [1.3K]

Answer:

64x^{12}

Step-by-step explanation:

We have to use the law of indices for finding the equivalent expression.

(8x^{5})^{2} = 64x^{10}  We square 8, which is 64 and multiply the two powers.

(x^{4})^{\frac{1}{2}} = x^{2}  We multiply the 2 powers giving us, \frac{4}{2}, which simplifies to 2.

64x^{10} × x^{2} = 64x^{12}  This is the answer as we multiply the two indices together.

I hope this helps!! ^-^

8 0
3 years ago
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vodka [1.7K]
152,000

is the correct answer
6 0
4 years ago
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