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3 years ago

11

Y = 2x + 1 2x - y=3 Solve by substitution

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

there is no solution

Step-by-step explanation:

y = 2x + 1

put into other equation

2x - 2x + 1 = 3

0x + 1 = 3

0x = 2

0/0x = 2/0

x = undefined

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DENIUS [597]

I do believe the answers in a row are A: x, B: 40, C: 12, D:y

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3 years ago

What is the solution of log2 (3x-7) =3

Valentin [98]

Answer:

x = 5

Step-by-step explanation:

because the log is base 2 you can remove the log by raing 2 to the power of each side:

$2^{log2 (3x-7)} = 2^{3}$

the 2 and log2 cancel leaving:

$3x-7 = 2^{3}$

this means we can now solve through simple algebra:

$3x-7 = 8\\3x = 8 + 7\\3x = 15\\3x/3 =15/3\\x = 5$

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3 years ago

Read 2 more answers

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

Can someone please help me

mart [117]

Answer:

x = 25

Step-by-step explanation:

3x = 75

divide both sides by 3

x = 25

5 0

3 years ago

What is 5.6 = p - 8.3

vredina [299]

Answer:

p - 8.3 = 5.6

p = 5.6+8.3= 13.9

7 0

3 years ago