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3 years ago

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Christy bought an 8-foot piece of lumber to trim a bookshelf. Altogether, she needs 100 inches of lumber for the trim. Did Chris

ty buy enough lumber?

1 answer:

jenyasd209 [6]3 years ago

8 0

Yes, she bought 96 inches of woods. Christy will have 4 inches of wood remaining.

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Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution.

solniwko [45]

For this case we have to:

Let $u = x + 1$

So:

$u ^ 2-4u + 2 = 0$

We have the solution will be given by:

$u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -4\\c = 2$

Substituting:

$u = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (2)}} {2 (1)}\\u = \frac {4 \pm \sqrt {16-8}} {2}\\u = \frac {4 \pm \sqrt {8}} {2}\\u = \frac {4 \pm \sqrt {2 ^ 2 * 2}} {2}\\u = \frac {4 \pm2 \sqrt {2}} {2}$

The solutions are:

$u_ {1} = \frac {4 + 2 \sqrt {2}} {2} = 2 + \sqrt {2}\\u_ {2} = \frac {4-2 \sqrt {2}} {2} = 2- \sqrt {2}$

Returning the change:

$2+ \sqrt {2} = x_ {1} +1\\x_ {1} = 1 + \sqrt {2}\\2- \sqrt {2} = x_ {2} +1\\x_ {2} = 1- \sqrt {2}$

Answer:

$x_ {1} = 1 + \sqrt {2}\\x_ {2} = 1- \sqrt {2}$

3 0

3 years ago

Read 2 more answers

The distance between two cities is 100 miles. what is the number of kilometers between the two cities:

Drupady [299]

1 mile = 1.6km.
so
100 miles x 1.6km = 160.

The number of km between two cities is 160km.

6 0

3 years ago

Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.

oksian1 [2.3K]

Answer:

$\large\boxed{y=2x-5}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Parallel lines have the same slope. Therefore if given line is

$y=2x+2$

then the slope of our line is $m=2$ .

We have the equation:

$y=2x+b$

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

$-7=2(-1)+b$

$-7=-2+b$ <em>add 2 to both sides</em>

$-5=b\to b=-5$

Finally:

$y=2x-5$

6 0

3 years ago

What type of correlation is suggested by the scatter plot?

Bas_tet [7]

No correlation is suggested

8 0

3 years ago

The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did t

Viefleur [7K]

Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = $\dfrac{\text{Increase in calories}}{\text{previous calories}}\times100$

$=\dfrac{300}{1500}\times100=20\%$

Hence , the number of calories increased by 20%.

3 0

3 years ago