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4 years ago

Solve the system by elimination 2x+6y= -12 5x-5y= -10

2 answers:

5 0

First thing you should do is reduce coefficients.

1st equation has all multiples of '2'. Divide by 2
---> x +3y = -6

2nd equation has multiples of 5. Divide by 5.
---> x - y = 2

Now elimination part is easier.
Eliminate 'x' variable by subtracting 2nd equation from 1st.

x + 3y = -6
-(x - y = 2)
----------------------
4y = -8

Solve for 'y'
4y = -8

y = (-8)/4 = -2

Substitute value for 'y' back into 2nd equation:
x - (-2) = 2
x + 2 = 2
x = 0

Solution to system is:
x=0, y =-2

Lena [83]4 years ago

3 0

B) (0,-2) I got 100% right.

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The average number of traffic tickets issued in a city on any given day

Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by

$T(x) = -6x^2 + 84x + 37$

Where x represents the number of days after Sunday

T(x) represents the number of traffic tickets issued.

Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

Saturday = x=6

Substitute x= 0

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37$

On Sunday 37 tickets were issued

Substitute x= 1

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115$

On Monday 115 tickets were issued

Substitute x= 2

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181$

On Tuesday 181 tickets were issued

Substitute x= 3

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235$

On Wednesday 235 tickets were issued

Substitute x= 4

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277$

On Thursday 277 tickets were issued

Substitute x= 5

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307$

On Friday 307 tickets were issued

Substitute x= 6

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325$

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

6 0

3 years ago

What is an equation of the line that passes through the point

Keith_Richards [23]

Answer:

5x - 4y = 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 4y = 36 ( subtract 5x from both sides )

- 4y = - 5x + 36 ( divide all terms by - 4 )

y = $\frac{5}{4}$ x - 9 ← in slope- intercept form

with slope m = $\frac{5}{4}$

Parallel lines have equal slopes, thus

y = $\frac{5}{4}$ x + c ← is the partial equation

To find c substitute (8, 2) into the partial equation

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = $\frac{5}{4}$ x - 8 ← in slope- intercept form

Multiply through by 4

4y = 5x - 32 ( subtract 4y from both sides )

0 = 5x - 4y - 32 ( add 32 to both sides )

32 = 5x - 4y, that is

5x - 4y = 32 ← in standard form

4 0

3 years ago

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Find the Sum.<br> 213,857 +43,762

saveliy_v [14]

The answer is 257,622

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4 years ago

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Mateo is training for a race. On Monday Mateo ran 7/10 mile. On Tuesday Mateo ran 9/10 mile. how much farther did Mateon run on

Valentin [98]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

$\frac{9}{10} -\frac{7}{10} =\frac{2}{10} =\frac{1}{5}$

4 0

3 years ago

PLS, 20 POINTS BRAINLIEST Jamie biked m miles at a speed of k miles per hour. What distance did she cover during the last 15 min

____ [38]

Answer:

0.25 k miles

Step-by-step explanation:

15 minutes =1/4 of an hour

Distance= speed*time= k (1/4)= (1/4) k= 0.25 k miles

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3 years ago

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