Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?

Answer:

[tex]y2 - y1 \div x2 - x1[/tex]

Answer:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = [tex]\sqrt{x^2+y^2}[/tex]

Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]

So we have:

x = 3

y = 1

r = [tex]\sqrt{10}[/tex]

Now we can calculate all 6 trig, functions:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Answer:

-8 or 8

Step-by-step explanation:

We are given the absolute equation:

[tex]\displaystyle \large{4|x|=32}[/tex]

First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]

Absolute Value Definition

[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]

So from |x| = 8, break into two intervals/conditions.

(1) when x ≥ 0

x = 8

(2) when x < 0

-x = 8

x = -8

From (1) and (2), the solution to 4|x| = 32 is 8 or -8

The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

From the graph, we have the following highlights

The above highlights mean that:

So, the function of the polynomial is:

[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]

Assume a = 1.

So, we have:

[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]

Multiply

[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]

Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

Read more about polynomial graphs at:

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Answer:

wowo

Step-by-step explanation:

Answer:

D: f(x) = (x+6)(x+6)

Step-by-step explanation:

The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.

Answer:

12

Step-by-step explanation:

Volume= pi x radius squared x height

substitiute values

540π= π x r^2 x 15

divide 540π by π and 15

so thats 36= radius squared

so the radius is 6 as 6 squared is 36

so the diameter is radius x2

so the answer is 12

Answer:

1, 2, 10 i think this is correct

Answer:

Step-by-step explanation:

You answer the question by understanding what the problem statement is telling you.

The double number line shows that 2 1/2 bananas make 1 loaf of bread.

The first blank is filled with 1.

__

You notice the number of bananas on the second line of the table is double the number on the first line: 5 = 2 × (2 1/2). That means the number of loaves that can be made is 2 × 1 = 2.

The second blank is filled with 2.

__

You notice the number of loaves on the third line of the table is double the number of loaves you just filled in on the second line. That means the number of bananas required is double the number listed on the second line.

  2 × 5 = 10

The third blank is filled with 10.

Answer:

x = -7

Step-by-step explanation:

( 5 x − 15 ) 2 = − 100

10x - 30 = - 100

10x = -70

x = -7

Answer:

x = -7

Step-by-step explanation:

[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]

Answer:

768x4%= 30.72

His commission was $30.72

Step-by-step explanation:

Answer:16

Step-by-step explanation:

144^0.5 = 12

400^0.5 = 20

a^2=b^2+c^2

20^2 = 12^2 +x^2

x^2 = 400-144= 256

x =16

Answer:

16

Step-by-step explanation:

Answer

To multiply integers, simply multiply the unsigned numbers and place the sign on the product by repeating the above rules.

To divide unsigned integers, we divide the unsigned numeric values and put a minus sign on the result.

Answer:

3.24 inches

Step-by-step explanation:

3 times 108% is 3.24

Answer:

P = 51 units

A = 137 units^2

Step-by-step explanation:

P = 5+5+7+11+7+16 = 51 units

A = 5x5 + 16x7 = 137 units^2

Hope that helps

Answer:

5 is the answer

please mark as brainlist

thank you

Answer: 1.90

Step-by-step explanation:

9/4.72= 1.90

Answer:

1.90

Step-by-step explanation:

9/4.72= 1.90

From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.

= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)

We've to expand the functions and this will be:

= -2a + 10 - 3a - 15b + 6 + 6b - ab

Collect like terms

= - 2a - 3a - 15b + 6b + 10 + 6 - ab

= -5a - 9b + 16 - ab

Therefore, the expression is equivalent to 5a - 9b + 16 - ab.

Learn more about equations on:

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Answer:

[tex]i[/tex][tex]\sqrt{30}[/tex]

Step-by-step explanation:

[tex]\sqrt{-30}[/tex]

= [tex]\sqrt{30 * -1}[/tex]      

= [tex]\sqrt{30} * \sqrt{-1}[/tex]   Separate the two numbers into 2 radicals.

= [tex]i\sqrt{30}[/tex]             Simplify, knowing that [tex]i = \sqrt{-1}[/tex].

Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Hope this helps

In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken

In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds

Let us convert time total time to seconds

3 minutes 30  in seconds = 3*60+ 30 = 180+30 = 210 seconds

Hence  Moira rate  = 1 rubiks cube/210 seconds

Learn more about rate:

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Answer:

but what if it is a virus?

Step-by-step explanation:

Answer:

isnt oit iron pick

Step-by-step explanation:

Recall that a ⇒ b ≡ ¬a ∨ b.

• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)

In row C, q is false so p ∧ q false, and r is true so ¬r is false.

¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false

• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r

In each of rows A, C, and E, at least one of p or q is true, so

p ∨ q ∨ ¬r = true

• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r

In row E, p is false and both q and r are true, so ¬q and ¬r are both false.

false ∨ false ∨ false = false

• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p

In row E, p is false and both q and r are true, so both ¬q and ¬r are false.

(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false

Answer:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3

Step-by-step explanation:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

Answer:

its B

Step-by-step explanation:

I may be wrong, but im pretty sure its C

Answer:

I might be wrong but I think it is B. or A.

Step-by-step explanation:

Answer:

-1108

Step-by-step explanation:

Answer:

-b=-1108

Step-by-step explanation:

20-5+375=b+3+1495

-375 -375

20-5=b+3+1420

15=b+1423

-b -b

-b+15=1423

-15 -15

-b=1108

20-5+375=-1108+3+1495

390=390

Saved:-

[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]

[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]

Answer:

[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]

Step-by-step explanation:

Subtract the used volume of punch from the starting volume of punch.

Convert the mixed number to an improper fraction:

[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]

Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:

[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]

Convert back into a mixed number:

[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]

[tex]3 \times \frac{5}{11} [/tex]

turns into

[tex] \frac{3}{1} \times \frac{5}{11} = \frac{15}{11} = 1 \frac{4}{11} [/tex]

[tex]12 \times \frac{3}{4} = \frac{12}{1} \times \frac{3}{4} = \frac{36}{4} = 9[/tex]

Because 36 goes into 4 nine times.

Answer:

The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line

Step-by-step explanation: