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Nonamiya [84]
3 years ago
9

Question 2 (2 points) Which point is the intersection of the graphs of this system of equations? 6x + 2y = -4 3x +2y = 8

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

(x, y) =(-4,10)

Step-by-step explanation:

6x+2y=-4

3x+2y=8 /*(-1)

6x+2y=-4 (1)

-3x-2y=-8 (2)

6x+2x=-4

(1)+(2) 3x=-12

6x+2x=-4

x=-12/3

6x+2y=-4

x=-4

6*(-4)+2y=-4

x=-4

-24+2y=-4

x=-4

2y=-4+24

x=-4

2y=20 y=20/2 y=10

(x,y)=(-4,10)

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The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos
JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the population = 500 </em>

<em>Given standard deviation of the Population = 75</em>

Let 'X' be the variable in normal distribution

      Z = \frac{x-mean}{S.D}

<em>Given X = $410</em>

<em></em>Z = \frac{410-500}{75} = - 1.2<em></em>

<u><em>Step(ii):-</em></u>

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

<u>Final answer:-</u>

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0
3 years ago
A company orders 25 boxed lunches from a deli for $185. If each boxed lunch costs the same amount, what is the unit cost of each
guapka [62]

Answer:

7.40

Step-by-step explanation:

Divide 185 by 25 to get unit rate

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What’s the value of X ? PLS HELP )):
motikmotik

Answer:

By angle sum property,

56 + 92 = 148

180 - 148 = 32

linear pair

so ,  180 - 32

= 148

Hope it helps

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Thank you

6 0
3 years ago
A number to the 12th power divided by the same number to the 9th power equals 125 what is the number
nadezda [96]

If x to the 12th power is divided by x to the 9th power:

Since they share same bases, and are being divided, it would be the same as x^{12 - 9), or x^{3}

Now, simply find the cube root of 125, which is 5.

Therefore, the number (x) must be equal to 5.

<em>Hope this helps! :)</em>

7 0
3 years ago
If f(5)=a what is the value of a
Dvinal [7]

Answer:

a = 5

Step-by-step explanation:

8 0
2 years ago
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