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tatuchka [14]
3 years ago
14

What is the solution of the equation (x -- 5)2 + 3(x - 5) + 9 = 0? Use u substitution and the quadratic formula to solve

Mathematics
1 answer:
Westkost [7]3 years ago
6 0

Answer:

so what I found is x= 16/5

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Q14
posledela

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

8 0
3 years ago
Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples.
scoundrel [369]

Solution: The sample mean of sample 1 is:

\bar{x}=\frac{4+5+2+4+3}{5}= \frac{18}{5}=3.6

The sample mean of sample 2 is:

\bar{x}=\frac{2+2+6+5+7}{5}= \frac{22}{5}=4.4

The sample mean of sample 3 is:

\bar{x}=\frac{4+6+3+4+1}{5}= \frac{18}{5}=3.6

The sample mean of sample 4 is:

\bar{x}=\frac{5+2+4+3+6}{5}= \frac{20}{5}=4

The minimum sample mean of the four sample means is 3.6 and maximum sample mean of the four sample means is 4.4.

Therefore, using  his four samples, between 3.6 and 4.4 will Ardem's actual population mean lie.

Hence the option 3.6 and 4.4 is correct

6 0
3 years ago
Read 2 more answers
A movie rental service is $5 a month after a one time start up fee of $60. Wrote an equation in slope-intercept form modeling th
alisha [4.7K]

Answer:

y=60+5x and you would have spent $120

Step-by-step explanation:

6 0
3 years ago
Please help I don’t know how to do this
mina [271]

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).  

Hence, the equation of the line  

\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be  

\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}

⇒ y - 5 = 4(x - 1)

⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

Again, equation (2) gives the function in the left side of the given graph which includes the point (1,5) and extends to the left from this point.

Therefore, f(x) = 4x + 1 when x ≤ 1 (Answer)

5 0
3 years ago
Through: (6, 2), perpendicular to<br> y = -x-5 <br> in slope intercept form
True [87]

Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

6 0
3 years ago
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