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3 years ago

At what point will the graphs intersect? y=3x/2-5 and 3x-4y=8

Mathematics

1 answer:

daser333 [38]3 years ago

7 0

Answer:

(4,1)

Step-by-step explanation:

Hope this helps

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Involving the selection of frozen dinners. Assume that there are 15 frozen dinners: 7 pasta, 6 chicken, and 2 seafood dinners. T

zzz [600]

The probability that at least 2 of the dinners selected are pasta dinners will be 0.8181...

Explanation

Pasta dinners = 7 , Chicken dinners = 6 and Seafood dinners = 2

The student selects 5 of the total 15 dinners. So, total possible ways for selecting 5 dinners $=^1^5C_{5} =3003$

For selecting at least 2 of them as pasta dinners, the student can select 2, 3, 4 and 5 pasta dinners from total 7 pasta dinners.

So, the possible ways for selecting 2 pasta dinners $=^7C_{2}*^8C_{3} =1176$

The possible ways for selecting 3 pasta dinners $=^7C_{3}*^8C_{2} =980$

The possible ways for selecting 4 pasta dinners $=^7C_{4}*^8C_{1} =280$

The possible ways for selecting 5 pasta dinners $=^7C_{5}*^8C_{0} =21$

Thus, the probability for selecting at least 2 pasta dinners $=\frac{1176+980+280+21}{3003} =\frac{2457}{3003} =0.8181.....$

3 0

4 years ago

Whats the slope intercept form for the points [5,2] and [0,-1]

Advocard [28]

Answer:

$\displaystyle y=\frac{3}{5}x-1$

Step-by-step explanation:

The Equation of a Line

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b the y-intercept.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

We are given the points (5,2) and (0,-1), thus:

$\displaystyle y-2=\frac{-1-2}{0-5}(x-5)$

Operating:

$\displaystyle y-2=\frac{-3}{-5}(x-5)$

$\displaystyle y-2=\frac{3}{5}(x-5)$

To find the slope-intercept form, we continue to simplify the expression:

Removing the parentheses:

$\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5$

$\displaystyle y-2=\frac{3}{5}x-3$

Adding 2:

$\displaystyle y=\frac{3}{5}x-3+2$

$\mathbf{\displaystyle y=\frac{3}{5}x-1}$

4 0

3 years ago

How did the sun's ray old lady? detail

uysha [10]

Go to goggle and copy it

s

3 0

3 years ago

Read 2 more answers

HEELLLLLLLLLP!!!!ahhhhh

leva [86]

Didn't I answer this one? It's x = to 62. YOU'RE WELCOME :D

7 0

4 years ago

Alice earned $622.50 in interest on her savings in the bank. Before interest, the account had $12,450. What is the approximate p

Lubov Fominskaja [6]

Answer:

Explanation:

% she earned in interest can be calculated by calculating the % of increase in the balance

We have:

Original balance = $12,450

Amount of interest = $622.5

This means that:

new balance = 12,450 + 622.5 = $13,072.5

Now, we can get the percentage of increase:

% of increase = $\frac{Value_n_e_w - Value_o_l_d}{Value_o_l_d} *100$

Substitute with the values we have to get the percentage of interest earned as follows:

% of interest earned = $\frac{13072.5 - 12450}{12450} * 100$ = 5%

Hope this helps :)

7 0

3 years ago

Read 2 more answers