All categories

2 years ago

Which graph represents the function f(x)=(x+4)(x+1)(x−3)?

Mathematics

1 answer:

zheka24 [161]2 years ago

8 0

Answer:

your answer will be C .

Step-by-step explanation:

You might be interested in

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)

frutty [35]

Answer:

cosФ = $\frac{1}{\sqrt{65}}$ , sinФ = $-\frac{8}{\sqrt{65}}$ , tanФ = -8, secФ = $\sqrt{65}$ , cscФ = $-\frac{\sqrt{65}}{8}$ , cotФ = $-\frac{1}{8}$

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = $\frac{x}{r}$
sinФ = $\frac{y}{r}$
tanФ = $\frac{y}{x}$
secФ = $\frac{r}{x}$
cscФ = $\frac{r}{y}$
cotФ = $\frac{x}{y}$

Where r = $\sqrt{x^{2}+y^{2} }$ (the length of the terminal side from the origin to point (x, y)

You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = $\sqrt{x^{2}+y^{2} }$

∵ x = 1 and y = -8

∴ r = $\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}$

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = $\frac{x}{r}$

∴ cosФ = $\frac{1}{\sqrt{65}}$

∵ sinФ = $\frac{y}{r}$

∴ sinФ = $-\frac{8}{\sqrt{65}}$

∵ tanФ = $\frac{y}{x}$

∴ tanФ = $-\frac{8}{1}$ = -8

∵ secФ = $\frac{r}{x}$

∴ secФ = $\frac{\sqrt{65}}{1}$ = $\sqrt{65}$

∵ cscФ = $\frac{r}{y}$

∴ cscФ = $-\frac{\sqrt{65}}{8}$

∵ cotФ = $\frac{x}{y}$

∴ cotФ = $-\frac{1}{8}$

8 0

3 years ago

I am a product. one of my factors is 2. the other factor is 1 greater than 4. what number am i

Vlad1618 [11]

2 x 5 = 10

You are the number 10.

7 0

3 years ago

Read 2 more answers

What is 4-2 5/7 i need this fast pls help

bagirrra123 [75]

Answer:

i believe 1 3/7 is the answer! have a great day

Step-by-step explanation:

3 0

3 years ago

3.2(2.9 + 2.9r)<br><br>what is the Answer please tell me the True Answer

raketka [301]

$Hiya!$

Here's a explanation!

$3.2(2.9+2.9)= 9.28$

$3.2(9.28+2.9) = 12.18$

$r = 12.18$

Hopefully, this helps you!!

$Sokka$

4 0

3 years ago

The area of a triangular piece of stained glass is 50 square centimeters. If the height (h) of the triangle is four times the ba

lyudmila [28]

Answer:

Height = 20 ; Base = 5

Step-by-step explanation:

Triangle Area = Base x Height x 1/2

50 = 1x × 4x × 1/2

50 = 4x^2 × 1/2

50 = 2x^2

25 = x^2

x=5

Height equals to 4x -> 4 × 5 = 20

Base equals to x -> 1 × 5 = 5

4 0

2 years ago