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2 years ago

9. Consider the function f(x) = x² + 3x – 4.

Mathematics

1 answer:

BaLLatris [955]2 years ago

6 0

Answer:

c. f(x) = (x + 4)(x - 1)

Step-by-step explanation:

Since you're familiar with the product of two binomials:

(x +a)(x +b) = x² + (a+b)x + ab

you know that the constants in the binomial factors must ...

have a product of -4
have a sum of +3

All of the choices except B have binomial constants that have a product of -4.

In order, the sums of the remaining choices are ...

A: 1-4 = -3

C: 4-1 = 3 . . . . this is the correct choice

D: -2+2 = 0

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12 friends share four pizzas equally what fraction of the pizza does each friend get

KonstantinChe [14]

Since 12 friends share four pizzas equally,

3 friends share a pizza equally.

Hence, each friend gets 1/3 of a pizza.

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2 years ago

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Tìm các đường tiệm cận của hàm số sau y=1/x+7

weqwewe [10]

Answer:

i dont speak...that language can u translate to english?

Step-by-step explanation:

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2 years ago

Solve the following question using the elimination method :)

pochemuha

The one above me is correct

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2 years ago

Can someone please explain how to do this!!!

DedPeter [7]

Hi there!

So we are given that:-

tan theta = 7/24 and is on the third Quadrant.

In the third Quadrant or Quadrant III, sine and cosine both are negative, which makes tangent positive.

Since we want to find the value of cos theta. cos must be less than 0 or in negative.

To find cos theta, we can either use the trigonometric identity or Pythagorean Theorem. Here, I will demonstrate two ways to find cos.

Using the Identity

$\large \displaystyle{ {tan}^{2} \theta + 1 = {sec}^{2} \theta}$

Substitute tan theta = 7/24 in.

$\large \displaystyle{ {( \frac{7}{24}) }^{2} + 1 = {sec}^{2} \theta }$

Evaluate.

$\large \displaystyle{ \frac{49}{576} + 1 = {sec}^{2} \theta} \\ \large \displaystyle{ \frac{625}{576} = {sec}^{2} \theta}$

Reminder -:

$\large \displaystyle{ sec \theta = \frac{1}{cos \theta} }$

Hence,

$\large \displaystyle{ \frac{576}{625} = {cos}^{2} \theta} \\ \large \displaystyle{ \sqrt{ \frac{576}{625} } = cos \theta} \\ \large \displaystyle{ \frac{24}{25} = cos \theta}$

Because in QIII, cos<0. Hence,

$\large \displaystyle \boxed{ \blue{cos \theta = - \frac{24}{25} }}$

Using the Pythagorean Theorem

$\large \displaystyle{ {a}^{2} + {b}^{2} = {c}^{2} }$

Define c as our hypotenuse while a or b can be adjacent or opposite.

Because tan theta = opposite/adjacent. Therefore:-

$\large \displaystyle{ {7}^{2} + {24}^{2} = {c}^{2} } \\ \large \displaystyle{49 + 576 = {c}^{2} } \\ \large \displaystyle{625 = {c}^{2} } \\ \large \displaystyle{25 = c}$

Thus, the hypotenuse side is 25. Using the cosine ratio:-

$\large \displaystyle{cos \theta = \frac{adjacent}{hypotenuse}}$

Therefore:-

$\large \displaystyle{cos \theta = \frac{24}{25} }$

Because cos<0 in Q3.

$\large \displaystyle \boxed{ \red{cos \theta = - \frac{24}{25} }}$

Hence, the value of cos theta is -24/25.

Let me know if you have any questions!

8 0

2 years ago

Find the area of a circle with a circumference of 11(pi)feet.

dlinn [17]

Answer:

30.25pi in terms of pi

94.985 In terms of 3.14

Step-by-step explanation:

Okay since the circumference is 11pi we know d = 11.

Meaning r = 5.5

We can solve this in terms of pi or 3.14, for this I will use both.

The formula for an area of a circle is pi*r^2

So,

5.5 * 5.5 = 30.25.

In terms of pi, the answer would be 30.25pi

In terms of 3.14 the answer would be 94.985

4 0

2 years ago