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svp [43]
3 years ago
6

3x + 4y = 2 2x - y = 5

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

(2, -1)

Step-by-step explanation:

Not sure if this is correct but hope it helps

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Which number line shows the solution set for 1h-21 = 4?
Dafna11 [192]

Answer: Option 2

Step-by-step explanation:

|h-2|=4\\\\h-2=\pm 4\\\\h=-2, 6

8 0
2 years ago
Solve the equation x. 6/∑/n-1 (x-3n)=-3
antiseptic1488 [7]

Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.

Step-by-step explanation: EVALUATE  x4n−3

 DIFFERENTIATE W.R.T. X  (4n−3)x4(n−1)

3 0
3 years ago
1.) Determine the type of solutions for the function (Picture 1)
NNADVOKAT [17]

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

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Do you think my latest video on my Chanel I am looking for true advice that can help me learn from my mistakes and grow
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Answer: ching cheng hanji, hyong hyong chino, kitchen in the dungeon, iseweyata hong kong, hoo wata hachi, asalaminontlinto asalaminonto hong kong.

Step-by-step explanation:

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Round 1395 to the nearest hundred
algol [13]

Answer:

1400

Step-by-step explanation:

It is closer to 1400 than 1300

5 0
3 years ago
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