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3 years ago

Use the substitution method to solve the system of equations. choose the correct ordered pair.

Mathematics

2 answers:

tiny-mole [99]3 years ago

7 0

Answer:

The correct answer would be B

Step-by-step explanation:

Here is a easy way to do this!

So u have 14 and a 2

14-2=12

And 6x2=12 so we know the first number is 6

The 3 is the next number because the 3 fits in

3x2=6

So the answer would be B

Note:*This method does not always work but this is a easy way to do this*

By: /Brainlyz/

(This is for the people who are learning this)

“Good luck!” ~_^

maw [93]3 years ago

3 0

Answer:

B. (6,3)

Step-by-step explanation:

14x - 2y = 78

2x - 2y = 6

-2y/-2 = (6 - 2x)/-2

y = -3 + x

substitute this y in for the y of the first equation

14x - 2(-3+x) = 78

14x + 6 - 2x = 78

12x + 6 = 78

12x = 72: x = 6

use x to plug into 2nd equation to make life easier

y = -3 + (6)

y = 3

(6,3)

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Type the correct answer in each box. Use numerals instead of words.

malfutka [58]

Answer:

y - 8 = -2(x + 1)^2

Step-by-step explanation:

The vertex of this parabola is (-1, 8). It opens downward, so the x^2 term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).

Through the vertex form of the equation of a parabola we get:

y - (8) = a(x - (-1)) + 7, or

y - 8 = a(x + 1)^2. Find coefficient a by substituting the coordinates (-3, 0) in this equation:

0 - 8 = a(-3 + 1)^2, or

-8 = a(-2)^2, or a = -2

The desired equation is

y - 8 = -2(x + 1)^2

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2 years ago

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Leni [432]

Answer:

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2 years ago

at food mart, hot dogs can be purchased in packages of 8 for $2.40 or packages of 12 for $3.00. which is a better buy? explain h

olasank [31]

Answer:

12-hot dog package is better buy because the per hot dog price is 5 cents cheaper

Step-by-step explanation:

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3 years ago

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3 years ago

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The number of bacteria in a refrigerated food product is given by N ( T ) = 27 T 2 − 180 T + 100 N(T)=27T2-180T+100, 7 < T &l

NeX [460]

Answer:

$N(T(t))=432t^2-374.4t-118.88$

The number of Bactria after 5.8 hours is 12242.

Step-by-step explanation:

The number of bacteria in a refrigerated food product is given by

$N(T)=27T^2-180T+100$

where, T is the temperature of the food.

When the food is removed from the refrigerator, then the temperature is given by

$T(t)=4t+1.6$

We need to find the composite function N(T(t)).

$N(T(t))=N(4t+1.6)$

$N(T(t))=27(4t+1.6)^2-180(4t+1.6)+100$

$N(T(t))=432t^2+345.6t+69.12-720t-288+100$

$N(T(t))=432t^2-374.4t-118.88$

where N(T(t)) is the number of bacteria after t hours.

Substitute t=5.8 in the above function.

$N(T(5.8))=432(5.8)^2-374.4(5.8)-118.88$

$N(T(5.8))=14532.48-2290.4$

$N(T(5.8))=12242.08$

$N(T(5.8))\approx 12242$

Therefore, the number of Bactria after 5.8 hours is 12242.

7 0

3 years ago

Use the substitution method to solve the system of equations. choose the correct ordered pair. ​

Use the substitution method to solve the system of equations. choose the correct ordered pair.