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Katen [24]
3 years ago
7

I need help with this any help will be appreciated

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0
Are you trying to solve for x and y?

y=2x+1; x+2y=17
sub in one variable in the other equation.
x+2(2x+1)=17
x+4x+2=17
5x=15
x=3

now that you have x value, plug into the original equation to find y and check with the other. 
y=2(3)+1 = 7
x+2y=17 = 3 + 2(7) = 17 ; 17=17 
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What is the slope of the line that passes through the points ( 4 , 6 ) (4,6) and ( − 16 , − 18 ) ? (−16,−18
borishaifa [10]

Answer:

1.2

Step-by-step explanation:

Gradient = y2-y1/x2-x1

Coordinates = (4,6), (-16,-18)

-18 - 6/-16 - 4

-24/ -20

= 1.2

Hope it helps.

4 0
3 years ago
So Confused!! Somebody Plz Explain How To Do!!!!!!!
Anton [14]

Answer:   A) 3x + 5x - 4 = 1

<u>Step-by-step explanation:</u>

The second equation is y + 4 = 5x.  Solve this equation for y by subtracting 4 from both sides. --> y = 5x - 4

Now replace "y" in the first equation with "5x - 4".

     3x +      y     = 1

-->  3x + (5x - 4) = 1

3 0
3 years ago
The population of Rock Springs is growing at a constant rate. The expression represents the increase in population in x years. 4
shusha [124]
The expression is given such as:
45, 200 + 1900x

We are asked to solve for the initial production, which means we have x = 0
The solution is shown below:
45, 200 + 1900*0
= 45,200 +0
=45, 200

The answer is letter "C" 45, 000.
8 0
3 years ago
Calculate the length of AC​
Liono4ka [1.6K]

Answer:

Length of the side AC is 12 units.

Step-by-step explanation:

Here, in the triangle ABC

Base = 5 units

Let, Perpendicular = k units

Hypotenuse = 13 units

In a Right angle triangle, by PYTHAGORAS THEOREM:

(Base)^{2}  + (Perpendicular)^{2}  =  (Hypotenuse)^{2}

Similarly, in triangle ABC

(AB)^{2}  + (AC)^{2}  =  (BC)^{2}

or, (5)^{2}  + (k)^{2}  =  (13)^{2}

⇒k^{2}  = 169 - 25 = 144

⇒ k = 12, or k= -12

But as k is the length of a side of a triangle so, k ≠  -12

⇒ k = 12

Hence,  the length of the side AC = 12 units.

8 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]

<u>Answer-</u>

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

<u>Solution-</u>

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
4 years ago
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