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3 years ago

A line passes through the point (-8,7) and has a

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Answer:

y = (-5/2)x + 27

Step-by-step explanation:

Use the point slope formula y = mx + b.

Replace m with -5/2, x with -8 and y with 7:

7 = (-5/2)(8) + b. Find the y-intercept, b:

7 = -20 = b, or b = 27

The equation of this line is y = (-5/2)x + 27.

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6) f(x) = 2x - 1, g(x) = 3x + 7<br>Find (fg)(x)

loris [4]

Answer: (fg)(x) = 6x^2 + 11x - 7

Explanation:
(2x - 1)(3x + 7)
= 6x^2 + 14x -3x -7
= 6x^2 + 11x - 7

4 0

3 years ago

As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into th

WARRIOR [948]

Answer:

A. Find h(10) = 0 . . . (it is not)

B. h(5.235) = 0; hang time was about 5.235 seconds

Step-by-step explanation:

The hang time of the ball is the value of x in h(x) such that h(x) = 0.

Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...

h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0

Juan cannot prove the hang time was 10 seconds.

The hang time is the solution to ...

h(x) = 0

-16x² +83x +4 = 0 . . . . . use the given expression for h(x)

x² -5.1875x = 0.25 . . . . divide by -16

x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²

(x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square

x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x

The hang time of the ball was about 5.235 seconds.

We like a graphing calculator for finding a quick solution to questions like this.

4 0

2 years ago

I will give 50 points

ikadub [295]

Answer:

f(x) = x³+2x²-16x-32

Step-by-step explanation:

f(x) = 0 when x = -4, -2, 4

So these are the roots

Factors are (x+4)(x+2)(x-4)

f(x) = [(x+4)(x-4)](x+2)

f(x) = (x²-16)(x+2)

f(x) = x³+2x²-16x-32

8 0

3 years ago

Read 2 more answers

A glass bottle holds 3.75 cups of water.About how many millimeters of water can the bottle hold?

mr Goodwill [35]

A cup equals 8 Fl. oz.
3.75x8=30
ml=fl. ozx29.574
30x29.574=887.22
your answer wold be 887.2 ml

4 0

3 years ago

Read 2 more answers

Do the functions have the same concavity?

Vesna [10]

Answer:

Step-by-step explanation:

Function f is graphed. The positive x-axis contains point c. The graph consists of an N-shaped curve. The curve starts in quadrant 3, moves upward concave down to a point in quadrant 1, moves downward concave down to point c in quadrant 1, continues downward concave up to a point in quadrant 4, moves upward concave up and ends in quadrant 1. The curve is purple to the left of point c, where it is concave down, and is green to the right of point c, where it is concave up.

Notice how fff is \purpleC{\text{concave down}}concave downstart color #aa87ff, start text, c, o, n, c, a, v, e, space, d, o, w, n, end text, end color #aa87ff to the left of x=cx=cx, equals, c and \greenD{\text{concave up}}concave upstart color #1fab54, start text, c, o, n, c, a, v, e, space, u, p, end text, end color #1fab54 to the right of x=cx=cx, equals, c.

PROBLEM 1

Let fff be a twice differentiable function. This is the graph of its second derivative, f''f

′′

f, start superscript, prime, prime, end superscript.

Function f double prime is graphed. The x-axis goes from negative 8 to 8. The graph consists of a wave-shaped curve. The curve starts at (negative 8, 0), moves downward concave up to (negative 5, negative 5), moves upward concave up to (negative 2, 0), continues upward concave down t

7 0

3 years ago