All categories

2 years ago

Please help me its about Solving by substitution

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

3 0

Answer:

x=-2 y=3

Step-by-step explanation:

The substitution is basically given to you. Exchange x from the second equation with y-5

Once that is done and you combine the parentheses you get:

2y-10+y=-1

Add 10 on both sides of the equal sign

You get:

3y=9

Divide both sides by 3

You get:

y=3

To check your work you can substitute y in the second equation with 3 and solve it that way to get x=-2 (x equals negative two)

You might be interested in

The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function

Misha Larkins [42]

Your answer is option 1.

8 0

3 years ago

The temperature in a city was recorded over a ten-hour period. The graph below shows the relationship between the temperature an

harkovskaia [24]

Answer:

Step-by-step explanation:

From the graph, we can see that the temperature increased initially, then started to decrease. All of these NOT in a constant rate, though.

Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.

So we can eliminate B, C, and D. That leaves us with correct answer as A.

5 0

3 years ago

The volume of a sphere is 5,000 pie m^3. What is the surface area of the sphere to the nearest square meter?

ExtremeBDS [4]

The correct answer is A

5 0

3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

how do you write the equation of a line in slope-intercept form when given two points on the line? the two points are (-4,4) and

Feliz [49]

Y=7x+ 32 you find slope and y intercept

6 0

3 years ago