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3 years ago

I forgot how to do this stuff-

Mathematics

1 answer:

horrorfan [7]3 years ago

5 0

Answer: x = 2

y = 2

Step-by-step explanation:

The given system of equations is expressed as

y = x²- 3x + 4- - - - - - - - - - - - -1

x + y = 4- - - - - - - - - - - -2

We would the method of substitution by substituting equation 1 into equation 2. It becomes

x + x²- 3x + 4 = 4- - - - - - - - - - -3

x² + x - 3x + 4 = 4

x² - 2x + 4 = 4

Subtracting 4 from the left hand side and the right hand side of the equation, it becomes

x² - 2x + 4 - 4 = 4 - 4

x² - 2x = 0

Adding 2x to the left hand side and the right hand side of the equation, it becomes

x² - 2x + 2x = 0 + 2x

x² = 2x

Dividing the left hand side and the right hand side of the equation by x, it becomes

x²/x = 2x/x

x = 2

Substituting x = 2 into equation 1, it becomes

y = 2²- 3 × 2 + 4

y = 4 - 6 + 4

y = 2

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Shkiper50 [21]

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3 years ago

The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?

oksano4ka [1.4K]

Answer:
(6,-1)

Explanation:
The slope of the line can be calculated using the following formula:
slope = $\frac{y2-y1}{x2-x1}$

We are given that:
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point (x1,y1) is (-2,5)

We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.

For point (6,-1):
slope = $\frac{-1-5}{6--2}$ = -0.75 ........> accepted choice

For point (2,8):
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For point (-5,1):
slope = $\frac{1-5}{-5--2}$ = 4/3 ........> rejected choice

For point (1,1):
slope = $\frac{1-5}{1--2}$ = -4/3 ........> rejected choice

Therefore, the first option is the only correct one.

Hope this helps :)

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2 years ago

How do I factor out a constant before factoring out a quadratic? <br>Factor completely: 3w^2-3w-90

pantera1 [17]

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3 0

3 years ago

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more

horrorfan [7]

Answer:

2x + 6y ≤ 120

Step-by-step explanation:

From the above question, we are told that: No more than 120 lb of sausage links and briskets will be cooked on the grill.

Let

x = Number of sausage links

y = Number of Briskets

The word NO MORE THAN means less than or equal to 120 lb and this word is represented by the inequality sign:

≤

Sausage links = 2 lb each

Briskets = 6 lb each

The inequality =

2lb × x + 6lb × y ≤ 120lb

2x + 6y ≤ 120

Therefore, the inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked is given as:

2x + 6y ≤ 120

3 0

3 years ago

Factor completely.<br> 5x2 – 46x + 9

icang [17]

Answer:

(5x−1)(x−9)

Step-by-step explanation:

Factorise 5x²−46x+9

5x2−46x+9

=(5x−1)(x−9)

3 0

3 years ago

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