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steposvetlana [31]
3 years ago
6

Which is the equation of the line with slope 3 that contains point (-1, 5)?

Mathematics
1 answer:
sattari [20]3 years ago
5 0

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=3[x-(-1)] \\\\\\ y-5=3(x+1)\implies y-5=3x+3\implies y=3x+8

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A pet store conducted a survey on the types of pets owned by the stores customers. construct a two-way table summarizing the dat
Inessa [10]

Answer:

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

Step-by-step explanation:

From the table you can see that

  • 45 customers own cat and dog;
  • 78 own only cat, then 78+45=123 customers own cat;
  • 125 own only dog, then 125+45=170 customers own dog;
  • 52 own neither cat, nor dog;
  • 78+45+125+52=300 customers in total;
  • 300-123=177 customers do not own cat;
  • 300-170=130 customers do not own dog.

Two-way table is

\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}

5 0
3 years ago
Find the total weekly earnings for a waitress with a weekly salary of $275 plus a 5% commission on dibners,if totalnworth of the
Citrus2011 [14]

The weekly earning for the waitress is $475.

Step-by-step explanation:

Weekly salary = $275

Commission = 5%

Worth of dinners served = $4000.00

Amount of commission = 5% of worth of dinners served

Amount\ of\ commission=\frac{5}{100}*4000.00\\Amount\ of\ commission=0.05*4000.00\\Amount\ of\ commission=\$200

Total earned = Weekly salary + Amount of commission

Total earned = 275+200=\$475

The weekly earning for the waitress is $475.

Keywords: percentage, commission

Learn more about percentages at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

#LearnwithBrainly

7 0
4 years ago
20 POINTS!!!
choli [55]

Hello from MrBillDoesMath!

Answer:

x = 0, 7

Discussion:

f(g(x)) =

f ( x^2-7x) =

1/ ( x^2 - 7x)


The points NOT in the domain are those where the denominator,  x^2 - 7x = 0.

x^2 - 7x   = 0       =>       factor x from each term

x(x-7) = 0            =>        one or both terms must each 0

x = 0 or x =7


Thank you,

MrB


6 0
3 years ago
The sum of two numbers is at most 12, and the sum of 3 times the first number and 8 times the second number is at least 48 selec
Sever21 [200]

Answer:

(4,8)

Step-by-step explanation:

4 + 8 = 12

3(4) + 8(8)

= 12 + 64

= 76

6 0
3 years ago
$65 dress pants 20% discount
jeka57 [31]
20% of 65 = 65 * 1/5, which is 13. so 20% of 65 is $13. so a discount of 20% = 65-13 which is $52
8 0
3 years ago
Read 2 more answers
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