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Vsevolod [243]
3 years ago
11

Solve the following system of equations. -7x +4y = 10 -5x +3y = 8 x= y=

Mathematics
1 answer:
Virty [35]3 years ago
4 0

Answer:x=2

              y=6

Step-by-step explanation:

-7*x+4*y=10

     ║minus

-5*x+3*y=8

----------------

-2*x+y=2

y=2+2*x

-------------

-5*x+3*(2+2*x)=8

-5*x+6+6x=8

x=8-6

x=2

-------------------------

-7*2+4*y=10

4*y=10+14

4*y=24

y=24/4

y=6

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Pls help ASAP
kipiarov [429]

Answer:

Intersect: (4 4/7 , 2 6/7)

Step-by-step explanation:

A: slope (m)= (-10-8) / (-9 - 10) = 18/19

Equation: y-8 = 18/19 * (x-10)

18x -19y = 28      (1)

B: slope (m) = (12 - -2) / (0 - 7) = -2

equation: y-12 = -2 *(x - 0)

2x + y = 12

38x + 19y = 228      (2)

(2) + (1): 56x = 256            x = 4 4/7

y = 12 - 2x = 12 - 64/7 = 2 6/7

3 0
3 years ago
baye's theorem certain test for cholera gives 5% false positives, and 12% false negatives. If the test gives correct results 93%
jekas [21]

Answer:

The percentage of people having cholera is 89.19%.

Step-by-step explanation:

According to the Bayes' theorem the total probability of <em>A</em> is:

P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

Let <em>X</em> = a person has chorea and <em>Y</em> = the test is positive.

Given:

P(X^{c}|Y)=0.05\\P(X|Y^{c})=0.12\\P(Y)=0.93

The value of P(X|Y) is:

P(X|Y)=1-P(X^{c}|Y)=1-0.05=0.95

Compute the value of P (X) as follows:

P(X)=P(X|Y)P(Y)+P(X|Y^{c})P(Y^{c})\\=(0.95\times0.93)+(0.12\times(1-0.93))\\=0.8835+0.0084\\=0.8919

The percentage of people suffering form cholera is, 0.8919 × 100 = 89.19%.

Thus, the percentage of people having cholera is 89.19%.

3 0
3 years ago
What is the factored form of 5x+x^2=0
Colt1911 [192]
5x+x^2=0\\ \\x(5+x)=0\\ \\x=0 \ \vee \ 5+x=0 \\\\ x=0 \ \vee \ x=-5


3 0
3 years ago
Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t mod
iren2701 [21]
When the ball reaches the ground is equal to one of the zeros, or x-intercepts. In order to find the zeros of a function, you need to factor the equation.
y=16x^2+64x
y=-16x(x-4)
The zeros are x=0 and x=4
Therefore the answer is D, after 4 seconds.
Hope this helps!
7 0
3 years ago
Read 2 more answers
I put a pic of question here. I'm in 8th grade
kykrilka [37]

y = 115

x = 78

The angles in each line have to add up to 180. In this case, it doesn't show the other side of the angle, but you could probably think of it.

6 0
3 years ago
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