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Komok [63]
3 years ago
14

The equation of the line with slope 2 that goes through the point (-9, 15) can be written in the form y=mx + b, where Preview m=

Preview
Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

y = 2x + 33

Step-by-step explanation:

The equation of the line has the following format:

y = mx + b

In which m is the slope of the line.

We want the equation of a line:

That has slope 2, so m = 2

y = 2x + b

Also that goes through the point (-9, 15). This means that x = -9, y = 15. So

15 = 2(-9) + b

15 = -18 + b

b = 33

The equation of the line is:

y = 2x + 33

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Becca's house is assessed at $143,000 and her property tax rate is 2.9%. How much are her annual property taxes?
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Find the value of R so that the line that passes through each pair of points has the given slope: (8, -2 ), (r, -6), m=-4
kondor19780726 [428]
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 8}}\quad ,&{{ -2}})\quad 
%   (c,d)
&({{ r}}\quad ,&{{ -6}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-6-(-2)}{r-8}=-4
\\\\\\
\cfrac{-6+2}{r-8}=-4\implies -4=-4(r-8)\implies \cfrac{-4}{-4}=r-8\\\\\\ 1+8=r
8 0
3 years ago
julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will
tigry1 [53]

Answer:

The final cost for him is;

\text{ \$154.44}

Explanation:

Given that the ipod costs $220;

C=\text{ \$220}

The store gives a 35% discount, which means he will only pay 65% of the original cost;

100\text{\%- 35\% = 65\%}

The store price is;

\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}

Also he will need to pay additional 8% sales tax on the discounted price P;

\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}

The final cost he need to pay is the sum of the discounted price and the sales tax;

\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}

Therefore, the final cost for him is;

\text{ \$154.44}

5 0
2 years ago
"a coin purse contains coins with values of 1 cent, 5 cents, 10 cents, 25 cents, and 50 cents. using each coin at least once, wh
cestrela7 [59]

Answer:

  11 coins for $1.99

Step-by-step explanation:

The maximum total less than $2 is $1.99. It takes 11 coins to make that total. It would take 1 fewer if the nickel were not required.

Starting with the minimum required coins, which total $0.91, we need to add $1.08 using a minimum number of coins. To minimize the added coins, we start with the largest we can use without going over the total: 2×50¢ + 1×5¢ + 3×1¢. These 6 coins added to the required 5 coins give the desired total using 11 coins.

  11 coins: $1.99 . . . . (3×50¢ +1×25¢ +1×10¢ +2×5¢ +4×1¢)

$1.99 is the highest possible total less than $2.00, and it takes a minimum of 11 coins to make that total.

4 0
3 years ago
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