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2 years ago

F(x) = x4 – 15x2 + 10x + 24.

Mathematics

1 answer:

SIZIF [17.4K]2 years ago

5 0

Answer:

The shape of this graph is similar to a U-shape, opening upward

Step-by-step explanation:

Since the coefficient of x^4 is positive and is 1, the function f(x) opens upwards.

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One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

3 0

2 years ago

Use the functions f(x)=4x+10 and g(x)=2x-4. <br><br> Find the value of g(5)

a_sh-v [17]

Answer:

Step-by-step explanation:

g(5) represents x=5

you would substitue 5 for x in g(x)=2x-4

g(5)=2(5)-4

g=6

8 0

2 years ago

Kayla and me went to the park and got three ice cream then on wedenday, we came back to get two ice cream how many ice cream did

ddd [48]

5 ice creams in all.

5 0

2 years ago

Find the difference. (k+3)-(3k-5)

mrs_skeptik [129]

Answer: -2k + 8

Step-by-step explanation:

5 0

2 years ago

Evaluate each function rule for x= -1/2 f(x) = 4(-1/2)-2

Artist 52 [7]

Answer:

f(-1/2) = -4

Step-by-step explanation:

To evaluate the expression, substitute by replacing x with -1/2. Then simplify according to order of operations:

f(-1/2) = 4(-1/2) - 2

f(-1/2) = -4/2 - 2

f(-1/2) = -2 - 2

f(-1/2) = -4

6 0

2 years ago