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jasenka [17]
3 years ago
11

B. Use the formula to solve 3x + 7 = 19 and x - 1=5.

Mathematics
1 answer:
Darya [45]3 years ago
7 0

I'm not sure which formula to use because it's not indicated, but I'll just solve for x in both equations.

3x + 7 = 19

First I would subtract 7 on both sides:

3x = 12

Then I would divide 3 on both sides:

x = 4

x - 1 = 5

I would just add 1 on both sides:

x = 6

Hope I helped :)

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The line AB has midpoint (2,5).<br> A has coordinates (1, 2).<br> Find the coordinates of B.
Gekata [30.6K]

Answer:

X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

7 0
3 years ago
An animal shelter estimates that it costs about $6 per day to care for each dog. If y represents the total cost of caring for a
TEA [102]

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.

7 0
2 years ago
Simplify: −√16x^2 , when x&lt;0
Savatey [412]

Answer:

-4|x|

Step-by-step explanation:

To simplify :

-\sqrt{16x^2} , when x

In order to simplify the given expression we will take the square root of the term inside the root.

The term in the square root are perfect squares (square of an integer), so, we can write them in square of the numbers.

⇒ -\sqrt{(\pm4x)^2}   [As (\pm4x)^2=16x^2]

On taking square root the square gets removed. So, we have,

⇒ -(\pm4x)

⇒ -4|x|

Since x, so the value would be negative.

So, simplified answer is

-4|x|  (Answer)

3 0
3 years ago
7. In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment th
Vlad1618 [11]

Answer:a) P(8 of the players numbers are drawn)=1.3×10^-8

b) P(7 of the players number are drrawn)=3.33×10^-c) P(at least 6 of the players number were drawn)=1.84×10^-4

Step-by-step explanation:

Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40

a) P(8 of the players numbers are drawn)= 1/40/8= 1.3×10^-8

There are one in hundred million chances that the draw numbers are precisely the chosen ones.

b) Number of ways of drawing 78 selected numbers from 1-40=8×(40-7)

8×32

P(7 of the players number are drawn)=8×32/40 =3.33×10^-6.

There are approximately 300,000 chances that 7 of the players numbers are chosen

c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.

P(at least 6 players numbers are drawn)=P(all 8 chosen are drawn)+P(7 players numbers drawn)+P(6 chosen are drawn) = 1+ 8 x32/40/8 +[8\6 ×32/2]

P(at least 6 players numbers are drawn) = 1.84×10^-4.

There are approximately 5400chances that at least6 of the numbers drawn are chosen by the player.

5 0
3 years ago
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