1over 4 power negative 5

Answer:

(8,23)

Step-by-step explanation:

x+y=31

4.5x + 11y = 289

x = 31 -y

4.5(31 - y) + 11y = 289

139.5 - 4.5y + 11y = 289

6.5y = 149.5

y = 23

x = 31 - 23 = 8

The ordered pair, (x, y) = (8, 23).

An ordered pair exists as a composition of the x coordinate (abscissa) and the y coordinate (ordinate), containing two values noted in a fixed order within parentheses.

Given: A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport exists $4.50, and the price for a ride from the airport exists $11. The driver collected a total of $289 for the day.

x + y = 31........(1)

4.5x + 11y = 289 ........(2)

From (1), we get

x + y = 31

x = 31 - y

Substitute the value of x in (2), and we get

4.5x + 11y = 289

4.5(31 - y) + 11y = 289

Simplifying the above equation, we get

139.5 - 4.5y + 11y = 289

6.5y = 149.5

y = 23

substitute the value of y, in (1) then we get

x = 31 - y

x = 31 - 23 = 8

The value of x = 8 and y = 23.

Therefore, the ordered pair, (x, y) = (8, 23).

Complete question

A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport is $4.50, and the price for a ride from the airport is $11. The driver collected a total of $289 for the day. Let 2 represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair, (x, y) that represents the situation.

Answer:

2√5

Step-by-step explanation:

By applying Pythagoras (hypotenuse)^2=(Base)^2 +(Height)^2

The length of the ramp is approximately 4.47 feet.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

If the base of the ramp is 4 feet and the vertical height is 2 feet, we can use the Pythagorean theorem to find the length of the ramp:

ramp length² = base² + height²

ramp length² = 4² + 2²

ramp length² = 16 + 4

ramp length² = 20

Taking the square root of both sides, we get:

ramp length = √20

Simplifying the square root of 20, we get:

ramp length ≈ 4.47 feet

Therefore, the length of the ramp is approximately 4.47 feet.

Learn more about Pythagoras's theorem here:

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Answer:

($8500)(0.0725)(4)

The expression f(x) = 8500*0.0725*x  represents the b best scenario. None of them are correct.

Equation that fit the scenario of He deposited $8500 in a 4-year certificate of deposit that earns 7.25% per year, to determine.

Equation are link of variables that contain equal sign.

Here,
He deposited $8500 in a 4-year certificate,
f(x) = 8500
Earns 7.25% per year,
f(x) = 8500*0.0725*4

Thus, the expression f(x) = 8500*0.0725*x  represents the b best scenario.

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Answer:

[tex]\sqrt{21}[/tex]

Step-by-step explanation:

Use the pythagorean theoreom, a^2+b^2=c^2.

We know the hypontenuse and one of the sdes

a^2+2^2=5^2

a^2+4=25

subract four from both sides to isolate variable

a^2=21

square root both sides and you have the answer of sq root 21!

Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem

Answer:

In Odette's solution, 7 is the number of

nickels and 8 is the number of dimes

Answer:

Y=30

X=40

Step-by-step explanation:

for Y is because 46-16=30

for X is because 180÷3=60

80+60=140

180-140=40

Answer:

80in3

Step-by-step explanation:

12 x 4 = 48

48 / 2 = 24

24 x 10 =240

240 / 3 = 80

           So your answer is 80in3

Answer: 80in

Step-by-step explanation:

Answer:

Your answer is (4,1)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Hoped this helped!

brainly, please?

Answer:

2^7 ≠ 7^2

Step-by-step explanation:

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2

The only factor is 2

7^2 = 7 * 7

The only factor is 7

Comparing the factors when written as a repeated multiplication,

2^7 and 7^2 have no common factor :

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128

7^2 = 7 * 7 = 49

Answer:

3x-14=31 ,= 15

Step-by-step explanation:

3x= 45

x= 45/3

x= 15

hope it helps

Answer:

623/2

Step-by-step explanation:

Answer:

It’s about 311.5

65 as smallest odd number possible.

circumference = pi*d

70cm*pi = 219.8cm

219.8cm × 240 rev = 52752 cm

52752cm/100 = 528m

Answer:

False, because the left side (-169), is not equal to the right side (95).

Answer:

13 - 6 x

Step-by-step explanation:

Answer:

2 weeks

Step-by-step explanation:

y = mx + b

y = total number of chapters read = [tex]9\frac{2}{3}[/tex]

m = number of chapters read per week = [tex]4\frac{5}{6}[/tex]

x = number of weeks = what we're solving for

b is not needed to find this solution

[tex]9\frac{2}{3}[/tex] = [tex]4\frac{5}{6}[/tex] x                            divide [tex]4\frac{5}{6}[/tex] from both sides

x = 2 weeks

Answer:

prime

gggghfsssddfdfv ut b dc t

Answer:

the number 13 is a prime number

Answer:

1 : 4

Step-by-step explanation:

5(a - b) = 3(a + b) = 5a - 5b = 3a + 3b

2a - 5b = 3b

2a = 8b

2/8 is 1/4 simplified

Answer:

Step-by-step explanation:

I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.

20% is 20/100, 1/5, or 0.2

The number will decrease by a factor of 5.

Answer:1.25

Step-by-step explanation: for example 100 decreased by 20 percent is 80 so 100 divided by 80 is 1.25

Answer:

f(4) = -6, g(-3) = 36

Step-by-step explanation:

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -2x + 2

f(4) = -2(4) + 2

Simplify the parentheses by multiplying.

f(4) = -8 + 2

Add.

f(4) = -6

g(x) = 3x² - 3x

g(-3) = 3(-3)² - 3(-3)

Simplify the exponent first.

g(-3) = 3(9) - 3(-3)

Simplify the parentheses by multiplying.

g(-3) = 27 + 9

Add.

g(-3) = 36

Answer:

5x²

-1/2( x+8)

Step-by-step explanation:

The dominant term is 2x^2 *x or 2x^3

We want to know what happens when x goes to negative ∞

2 ( -∞) ^3 → 2 * (-∞) → -∞

As long as we multiply by a positive number, we will still be approaching negative infinity ( or decreasing)

-3  is negative

.2x is negative when x approaches negative infinity

.5 x^2 = .5( -∞)^2 = 5 ( ∞) = ∞ which is positive

-1/2 x is the dominant term  = -1/2(- ∞) =   ∞ which is positive

4(2x) is the dominant term  = 8(- ∞) = - ∞ which is negative

Answer:

3rd and 4th Choices.

[tex]\displaystyle 5x^2\text{ and } -\frac{1}{2}(x+8)[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=(2x^2+5)(x-7)[/tex]

And we want to determine the factor(s) that we can multiply to the above function that will cause the graph of f to decrease as x approaches negative infinity.

We can see that the dominant term will be:

[tex]2x^2(x)=2x^3[/tex]

Thus:

[tex]2(-\infty)^3\Rightarrow -\infty[/tex]

It is already decreasing (shifting towards negative infinity) as x approaches negative infinity.

In order to preserve this, then, the factors must be positive as x approaches negative infinity.

The first factor is -3.

-3 is always negative, so it will make f increase.

The second factor is [tex]0.2x[/tex].

[tex]0.2(-\infty)\Rightarrow -\infty[/tex]

This will also make f increase.

The third factor is:

[tex]5(\infty)^2\Rightarrow \infty[/tex]

This is positive, so it will allow f to remain decreasing as x approaches negative infinity.

The fourth factor is:

[tex]\displaystyle -\frac{1}{2}(-\infty+8)\Rightarrow -\frac{1}{2}(-\infty)\Rightarrow \infty[/tex]

This is also positive, so it will also allow f to remain decreasing.

Lastly, the fifth factor is:

[tex]4(2(-\infty)-7)\Rightarrow 4(-\infty)\Rightarrow -\infty[/tex]

This is negative, so it will make f increasing.

Therefore, our answers are the third and fourth choices.  

Answer:

The answer is 10 inches, because first we multiply the letters and how wide they are then subtract that from 60 then divide that by our spaces (4)

Step-by-step explanation:

The slope is equal to the change in y / change in x.

The change in y is always 5 and the change in x is always 1.

So the change in y / change in x is 5/1 or 5.

The y-intercept is the value of y when x = 0.

So the value of y when x = 0 is 2.

Answer:

what do u need help with

Step-by-step explanation:

Answer:

21 mins

Step-by-step explanation:

9+10=21

Answer:

2/7

Step-by-step explanation:

Slope of the line

[tex] = \frac{6 - 4}{21 - 14} \\ \\ = \frac{2}{7} [/tex]

8/15

Hope this helps!

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

[tex]Tan(k)=\frac{24}{45} =\frac{8}{15}[/tex]

Answer:

x - 7 = 2

Step-by-step explanation:

A number = x

minus seven = - 7

is two =  "= 2 "