Which of the following shows the graph of y = –(2)x – 1?

Answer:

A)4

Step-by-step explanation:

Expression 4 superscript pt 5=4^5

Answer:

A

Step-by-step explanation:

Answer: 8 dollars

Step-by

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

We are given the equation:

log₂(x-3) + log₂x - log₂(x+2) = 2

When is it defined:

in this equation, log₂(x-3) and log₂(x+2) can only be defined when

x-3 >0 and x+2 > 0

solving for the values of x, we get:

x > 3    and   x > -2

which basically means x > 3

Because we are looking for an inequality which is true for both x>-2 and x>3

Hence, x will have a value greater than 3

Solving for x:

using the product rule [logₐb + logₐc = logₐ(bc)]

log₂[(x-3)(x)] - log₂(x+2) = 2  

using the quotient rule [logₐb - logₐc = logₐ(b/c)]

log₂[(x-3)(x) / (x+2)] = 2

from the property [ aˣ = b  ⇒  logₐb = x]

(x² - 3x) / (x+2) = 2²

x² - 3x = 4x + 8

x² - 7x - 8 = 0

x² + x - 8x - 8 = 0

x(x+1) - 8(x+1) = 0

(x-8)(x+1) = 0

(x-8) = 0    OR    (x+1) = 0

x = 8      OR      x = -1

We know that the equation is defined only for x > 3

We can see that x = 8 satisfies that inequality

Therefore, x = 8

Answer:

no

Step-by-step explanation:

No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in. For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.

Answer:

Ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1

Step-by-step explanation:

From the graph attached,

Number of cups of apple juice (A) is proportional to the number of cups of lemon lime soda (L).

A ∝ L

A = kL

Here 'k' is the proportionality constant.

k = [tex]\frac{A}{L}[/tex]

  = [tex]\frac{6}{1}[/tex]

Therefore, ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1.

light stand for knowledge in the poem

Answer:

light stand for knowledge in the poem

Step-by-step explanation:

Answer:

10 minutes

Step-by-step explanation:

If you divide both sides by 2 you get 6 miles and 1 hour.

Divide it again by 2 and you get 3 miles and 30 minutes.

Divide that by 3 and you get 1 mile in 10 minutes.

Answer:

The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800

Step-by-step explanation:

We are given:

Principal Amount (P) = $5000

Years (t) = 5

Rate (r) = 3% or 0.03

We need to find New Amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Since amount is compounded continuously so n=1

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.03}{1})^{1*5}\\A=5000(1+0.03)^5\\A=5000(1.03)^5\\A=5000(1.16)\\A=5800[/tex]

So, New Amount (A) = $5800

The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800

Answer:

−7(2x−11)

use distributive property

-7(2x)-7(-11)

-14x+77

Answer:

-14x + 77

Step-by-step explanation:

-7(2x-11)

= -14x + 77

Answer:

33.6

Step-by-step explanation:

Answer:

1:C Triangle STU is similar to triangle XYU

2:B subtraction property

Step-by-step explanation:

i just did the test

Applying the AA similarity theorem, the missing parts of the proof are:

According to the AA similarity theorem, if two triangles have two corresponding congruent angles, then both triangles are similar.

In the proof given, triangles STU and XYU have two pairs of corresponding angles that are congruent, therefore, triangle STU is similar to triangle XYU by AA similarity theorem.

Also, subtraction property was applied in the proof. Thus, the missing parts of the proof are:

Learn more about the AA similarity theorem on:

https://brainly.com/question/21247688

#SPJ9

Answer:

hello your question is incomplete attached below is the complete question and solution

answer :  general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Step-by-step explanation:

attached below is the detailed solution to determine the general solution of the given system

general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Answer:

Each friend would get 3 slices and there would be 2 slices left over.

Answer:

16x + 9 = 4x

Step-by-step explanation:

9x+7x+26-17=2x-3x+5x
16x+9=4x

Answer:

1. 91 = 70*1.30

2a. 195= 150*1.30

2b. 210 = 150*1.40

3a.  56.70 = 156* .30

3b.  132.30 = 156-56.70

3c.  17.20 = 132.30 *0.13

3d.  149.50 = 132.30+17.20

3e. You do not have enough money, because you need $9.50 more.

Step-by-step explanation:

good luck

Question 1:

70 x 1.30 is 91 - 70 is equal to 21 pizzas, they would have to sell 91 total pizzas, which is 21 more than what was sold the previous day

Question 2:

Both parts are solved below:

Step-by-step explanation:

Given:

Purchase price = 150

Part A

As the online trailer marks up 30% so the price would be:

= 150 + 30% of 150

=150 + 0.3(150)

= 150 + 45

Price online= $195

° ♡ ₒ ♡ °

Part B

As the superstore marks up the price by 40% so the price would be:

= 150 + 40% of 150

=150 + 0.4(150)

= 150 + 60

Price at superstore = $210

° ♡ ₒ ♡ °

Difference

Difference = price at superstore - price online

Difference = 210 - 195

Difference = $15

Difference in markup = 40% - 30% = 10%

So a 10% difference leads to the difference of $15 in price.

Answer:

Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

[tex]m_{NA}[/tex] = (- 3 - 2) / (- 4 - 1) = 1 ........ (1)

[tex]m_{TS}[/tex] = (- 4 - 1) / (3 - 8 ) = 1 ......... (2)

From (1) and (2) ⇒ NA║TS

[tex]m_{AT}[/tex] = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... (3)

[tex]m_{NS}[/tex] = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... (4)

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

a.) m = -1

b.) m = 0

c.) m = undefined

d.) m = 1/2

Answer (bolded part is slope):

a.) y = -x + 2 (slope = -1)

b.) y = -2 (slope = 0)

c.) x = 3 (slope = undefined)

d.) y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{3}{2}[/tex] (slope = 2/3)

Answer:

y-6=2(x-5)

I hope this is good enough:

Answer:

2/5   0

Step-by-step explanation:

Answer:

population-amount of people per sq ft

climate- the average climate in that are

physical- elevation, landmarks,

Step-by-step explanation:

Answer:

2) 8x^2 -6x-7 hope this helps

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.