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3 years ago

Solve each equation. 7(x+4)-6(x+3)=x+5

2 answers:

7 0

Answer:

7(x+4)-6(x+3)=x+5

We simplify the equation to the form, which is simple to understand
7(x+4)-6(x+3)=x+5

Reorder the terms in parentheses
+(+7x+28)-6*(x+3)=x+5

Remove unnecessary parentheses
+7x+28-6+*(+x+3+)=+x+5

Reorder the terms in parentheses
+7x+28+(-6x-18)=x+5

Remove unnecessary parentheses
+7x+28-6x-18=+x+5

We move all terms containing x to the left and all other terms to the right.
+7x-6x-1x=+5-28+18

We simplify left and right side of the equation.
0x=-5

0=-5

The left and right sides are not equal, therefore there is no solution. This equation is invalid.

(hope that helps you out :)

Gelneren [198K]3 years ago

6 0

Answer:

7(x+4)-6(x+3)=x+5

or , 7x + 28 - ( 6x + 18 ) = x + 5

or , 7x + 28 - 6x - 18 = x + 5

or , x + 10 = x + 5

The equation is incorrect !!

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Write an equation in slope-intercept form for the following line: (-14.1) and (13,-2)

vesna_86 [32]

Answer:

$y=-\frac{1}{9}x-\frac{5}{9}$

Step-by-step explanation:

$(-14,1)(13,-2)$

Use the slope-intercept formula:

$y=mx+b$

m is the slope and b is the y-intercept. Use the slope formula first:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

$(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))$

$\frac{-2-1}{13-(-14)}$

Simplify parentheses (two negatives makes a positive):

$\frac{-2-1}{13+14}$

Simplify:

$\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}$

The slope is $-\frac{1}{9}$ . Insert into the equation:

$y=-\frac{1}{9}x +b$

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

$(13,-2)\\-2=-\frac{1}{9} (13)+b$

Solve for b, the y-intercept. Simplify parentheses:

$-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}$

$-2=-\frac{13}{9} +b$

Add $-\frac{13}{9}$ to both sides:

$-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9} +b\\\\-2+\frac{13}{9} =b$

Simplify:

$-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\ \\b=-\frac{5}{9}$

The y-intercept is $-\frac{5}{9}$ . Insert this into the equation:

$y=-\frac{1}{9} x-\frac{5}{9}$

Finito.

8 0

3 years ago

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following

gregori [183]

Answer:

(1/4, 5 7/8)

Step-by-step explanation:

The vertex is the extreme point of the graph. Here, it is a minimum.

For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)

The graphing calculator in the attachment shows the vertex is ...

(0.25, 5.875) = (1/4, 5 7/8)

8 0

2 years ago

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

12+[ 9 4/5 - ( 1.5 + 2 2/10)] Someone please help me?

lord [1]

Answer:

18.1

The thing You NEEDED to do

<h3>Simplify or Evaluate Your Answer</h3>

5 0

3 years ago

P(a)=0.50 p(b)=0.30 and p(a and b)=0.15 what is p(a or b)

Softa [21]

Answer:

Option C is correct

P(A or B) = 0.65

Step-by-step explanation:

Given:

P(A) =0.5

P(B)=0.30

P(A and B) =0.15

( The probability of the happening of both independent events will be there product) P( A and B ) =P(A).P(B)

Solution:

To find the probability of the Happening of event A either event B we will use the following formula

P(A or B) = P(A) + P(B)-P(A and B)

= 0.5 + 0.3 - 0.15

=0.65

6 0

3 years ago

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