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kondaur [170]
2 years ago
10

Given the following equation in point-slope form. Identify the slope and the point.

Mathematics
2 answers:
nordsb [41]2 years ago
8 0

Answer:

point = (-3, 5)

slope = 3/4

Step-by-step explanation:

The formula for point slope is:

y - y1 = m (x - x1)

point (x1, y1)

slope m

So with your equation:

y - 5 = 3/4 (x+ 3)

point = (-3, 5)

slope = 3/4

Mama L [17]2 years ago
6 0

Answer: M=0,75

Step-by-step explanation:

  • We have a linear function
  • y=mx+b
  • where m is slope ; by intercept  
  • Let's bring the functions to the standard form
  • \displaystyle y-5 =\frac{3}{4} \cdot (x+3) \\\\ y=\frac{3x+9}{4} +5 \\\\ y=0,75x+2,25+5 \\\\ y=0,75x+7,25  \\\\ y=\boldsymbol {0,75}x+7,25  \\\\ \rm  Then : \\\\ M=0,75
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Covert 4.5 yards to inches what is the answer ?
Minchanka [31]

Answer:

162 inches

Step-by-step explanation:

To get the answer you would have to know how many inches are a yard. The answer is 36. So you would have to multiply 4.5 by 36.

7 0
3 years ago
Read 2 more answers
Function P is defined as P (x) = x ^2 . Explain why P (2) + P (3) isn't equal to P (5) .
diamong [38]

Answer:

P(x) = x + 2

Piden: A = P(P(P(P(3))))

P(3); x = 3

P(3) = 3 + 2 = 5

A = P(P(P(P(3))))

A = P(P(P(5)))

P(5); x = 5

P(5) = 5 + 2 = 7

A = P(P(P(5)))

A = P(P(7))

P(7); x = 7

P(7) = 7 + 2 = 9

A = P(P(7))

A = P(9)

P(9); x = 9

P(9) = 9 + 2 = 11

→ A = P(P(P(P(3)))) = 11

Step-by-step explanation:

listo e

4 0
3 years ago
1.
Sonbull [250]

Answer:

SORRY I DID NOT UNDERSTAND

8 0
2 years ago
How 2 do?<br><br> (n)(n+7)(n+8)
madreJ [45]

Answer:

n^{3} + 15n^{2} + 56n

Step-by-step explanation:

First FOIL  (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = n^{2} +15n + 56

 n (n^{2} +15n + 56)

= n^{3} + 15n^{2} + 56n

6 0
2 years ago
Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainde
Over [174]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

4 0
2 years ago
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