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4 years ago

How do you find x???

Mathematics

2 answers:

sergij07 [2.7K]4 years ago

6 0

The first thing you want to do is isolate the (x)s.

nikdorinn [45]4 years ago

4 0

0.6x-5=0.1x+7
0.5x-5=7 (subtract 0.1x from both sides)
0.5x=12 (add 5 to both sides)
x=24 (divide both sides by 0.5)

Hope this helps!

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Solve this quadratic equation. 6x^2 - 2x = 7

sweet-ann [11.9K]

The solutions to the equation are $\frac{1 +/- \sqrt{43}}{6}$ .

You can find the answer to any quadratic by using the quadratic formula. The formula is below.

$\frac{-b +/- \sqrt{b^{2}-4ac}}{2a}$

Then find a (the number attached to x^2), b (the number attached to x) and c (the constant). This will allow you to plug in and solve.

$\frac{2 +/- \sqrt{-2^{2}-4(6)(-7)}}{2(6)}$

$\frac{2 +/- \sqrt{4 + 168}}{12}$

$\frac{2 +/- \sqrt{172}}{12}$

$\frac{1 +/- \sqrt{43}}{6}$

8 0

4 years ago

P(x)=x-3 g(x) = 2x-5 Find the following. (p ° q)(5)= and (q ° p)(5)=

deff fn [24]

Answer:

(p∘q)(5) = 2

(q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

(p∘q)(x) = p(q(x))

(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

(p∘q)(5) = 2

(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

(q∘p)(5) = -1

8 0

3 years ago

What's the sum of 3/8 and 1/16? a. 1/6 b. 7/16 c. 4/24 d. 1/4

Norma-Jean [14]

Answer: B

Step-by-step explanation: 3/8 + 1/16 = 0.4375 and 7/16 = 0.4375

7 0

2 years ago

Read 2 more answers

Find the circumference of this circle using 3 for TT. C ~ [?] 24 C = id

8090 [49]

Answer:

Step-by-step explanation:

The diameter is 24

pi is approximated by 3

The circumference is given by

C = pi *d

= 3 * 24

= 72

6 0

3 years ago

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary

uysha [10]

Answer:

The equation of the regression line is: $y=5.055 + 1.905 \cdot x$

Step-by-step explanation:

We have the following data:

$\begin{array}{c|cccccccccc}Productivity&23&25&28&21&21&25&26&30&34&36\\Dexterity&49&53&59&42&47&53&55&63&67&75\end{array}$

We can use the Least Squares Regression to find the line of best fit for a set of paired data.

To find the line of best fit for n points:

Step 1: For each (x,y) point calculate $x^2$ and xy.

Step 2: Sum all x, y, $x^2$ and xy, which gives us Σx, Σy, $\sum x^2$ and Σxy.

Step 3: Calculate Slope b:

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

where n is the number of points.

Step 4: Calculate Intercept a:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

Step 5: Assemble the equation of a line

$y=a + b \cdot x$

Following the above steps we get:

Step 1: Find $x^2$ and xy as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 269 ~,~ \sum{Y} = 563 ~,~ \sum{X \cdot Y} = 15596 ~,~ \sum{X^2} = 7473$

Step 3: Use the following equations to find a and b:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 563 \cdot 7473 - 269 \cdot 15596}{ 10 \cdot 7473 - 269^2} \approx 5.055$

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 10 \cdot 15596 - 269 \cdot 563 }{ 10 \cdot 7473 - \left( 269 \right)^2} \approx 1.905\end{aligned}$

Step 4: Assemble the equation of a line

$y=5.055 + 1.905 \cdot x$

The graph of the regression line is:

4 0

3 years ago