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3 years ago

HELP!!!!

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

a. the y-intercept of f(x) is greater than the y-intercept of g(x)

Step-by-step explanation:

Given function:

f(x)=(x - 4)^2 - 4

We can work out the function from the table values:

g(x) = (x + 2)^2 - 4

Options:

a. the y-intercept of f(x) is greater than the y-intercept of g(x)

True. x= 0 ⇒ f(0) = (-4)^2 - 4 = 12, g(0) = 2^2 - 4 = 0

b. The y-intercept of g(x) is greater than the y-intercept of f(x)

False. See previous option.

c. The y-coordinate of the vertex of f(x) s greater than the y-coordinate of the vertex of g(x)

False. They are same = -4

d. The x-coordinate of the vertex of g(x) is greater than the x-coordinate of the vertex of f(x)

False. -2 vs 4

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6 0

3 years ago

Can someone help me please?

eimsori [14]

The ans is C

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2 years ago

The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the

katrin2010 [14]

*See diagram in the attachment

Answer:

27 inches

Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

Perimeter of rectangle = 2(L + W)

L = 11 in.

W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

Subtract 36 from each side

x = 63 - 36

x = 27

Perimeter of triangle = 27 inches

7 0

3 years ago

How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

3 years ago

Weights of different sandwiches in two lengths are shown in the table.

Alexandra [31]

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

Cheese sandwich $\frac{1}{4}$ $\frac{3}{4}$

Chicken salad sandwich $\frac{3}{4}$ $1\frac{3}{4}$

Egg salad sandwich $\frac{2}{3}$ $1\frac{1}{3}$

For cheese sandwich proportion

$\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16$

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

$\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}$

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich proportion

$\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9$

So, egg salad sandwich is proportional to its length

6 0

3 years ago