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Ne4ueva [31]
3 years ago
7

A set of equations is given below: Equation C: y = 6x + 9 Equation D: y = 6x + 2 Which of the following best describes the numbe

r of solutions to the given set of equations? One solution No solution Two solutions Many solutions
Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0
So we can get from these two equations that y = 6x + 2 = 6x + 9

6x + 2 = 6x + 9
0 = 7 , but that's incorrect, so this set has no solution.
katrin2010 [14]3 years ago
3 0
Hello again Kristian

Y = 6x + 9
Y = 6x + 2

We need to solve 6x + 9 for y in y = 6x + 2
Y = 6x + 2
6x + 9 = 6x + 2
6x - 6x = 2 - 9
0 = -7

No solutions

The correct option is the second option.

Good luck with your education!
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Let x be a real number. Find the lowest possible value of |5x^2 - 16| + |10x - 2|.
BlackZzzverrR [31]

Since the equations are for absolute value this means any negative number used the answer would become positive, so to get the lowest value possible x would need to equal 0, which would eliminate the x variable from the equations.

Replace x with 0 and solve:

|5(0)^2 - 16| + |10(0) - 2|

Simplify:

|0 - 16| + |0 - 2|

|-16| + |-2|

Combine:

|-18|

Absolute Value = 18

4 0
3 years ago
A cone has a lateral area of 108 in2 and a base area of 48 in2. What is the surface area of the cone? A. 60 in2 B. 140 in2 C. 12
Andrei [34K]
Based on the given data, the following formula will be useful;
Area of the base, A = pi*r^2
Lateral Area, A(l) = pi*r*sqrt of h^2 + r^2
Surface Area, A(s) = pi*r*(r+sqrt of h^2 + r^2)
Based on the given area of the base, the radius can be calculated and is equal to 3.9088 in. Based on the given lateral area, the h or the lateral edge can be calculated and is equal to 7.8785 in. Given all the information needed, and directly substituting to the above formula for surface area, SA is equal to 156 in^2 (option D)
5 0
3 years ago
Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%
Amanda [17]

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

<em>n</em> = 10

Compute the sample mean and sample standard deviation:

\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7

s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a <em>t</em> confidence interval.

The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

7 0
3 years ago
Hot dogs at a carnival cost 2.99 each plus 7%tax.what is the total cost for one hot dog?
Mars2501 [29]
$3.20
2.99 • 7% = 0.2093
2.99 + 0.2093 = 3.20
3 0
3 years ago
A circle with centre O has a radius of 6.2 cm.
Paul [167]

Answer:

it could either be 10.781 or 65.6, if not either of em then iam truly very sorry

Step-by-step explanation:

6 0
2 years ago
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