Solve the following linear system of equations using substitution.

y = 3x - 5
y = 2x - 6


A. (3,2)
B. (-5,-6)
C. (-1,-8)
D. (1,-2)

Answer:

Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5

So your answer should be 7.5

Step-by-step explanation:

The submarine's speed in feet per second is 7.5 feet per second.

The submarine's speed in feet per second can be calculated by dividing the distance traveled by the time taken. In this case, the submarine sank 225 feet in 30 seconds, so its speed would be 225 feet / 30 seconds = 7.5 feet per second.

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Given:

A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.

To find:

The length of the zip line where there is no rider.

Solution:

A right-angled triangle can be formed using the given data.

The difference in height between the start and end of the zipline is [tex]28-11=17[/tex]. The angle of the triangle is 85°.

Assume the zip line is x feet long.

The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.

To determine x, we calculate the cos of the given angle.

[tex]cos \theta = \frac{adjacentside}{hypotenuse} .[/tex]

[tex]cos 85 = \frac{17}{x} , x = \frac{17}{cos85}, cos85= 0.0871.[/tex]

[tex]x = \frac{17}{0.0871} = 195.1779.[/tex]

Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.

The length of the zip line when there is no rider is 195.18 feet long.

Here the difference is

= 28 - 11

=17

And, The angle of the triangle is 85°.

Here we Assume the zip line should be x feet long.

Now

The length should be

[tex]cos\ 85 = 17\div x\\\\x = 17\div 0.0871[/tex]

= 195.18

Hence, The length of the zip line when there is no rider is 195.18 feet long.

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A point on anywhere on the circumference of a circle that is distant from the center of the circle equals the: radius.

The radius of a circle is the distance from the center of a circle from any point on the circumference of the circle.

Therefore, any point that is on a circle with the distance to the center of the circle equals: C. radius.

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(3) KC

Step-by-step explanation:

This is because KC would be a radius and a radius has one end point on the circle while the other is inside. Chords would have both endpoints on the circle.

Final answer:

The segment KC is not a chord of circle K because the center of a circle is not on the circumference, thus KC does not connect two points on the circle's edge like AC, BC, and AB.

Explanation:

A chord in a circle is defined as a line segment with both endpoints on the circle. Given a circle K with points A, B, and C on its circumference, the line segments AC, BC, and AB would all be considered chords of circle K, because they connect two points on the circle's circumference. However, KC cannot be a chord because point K is described as the center of the circle, not a point on its circumference.

Answer:

2,100 students will receive the funds.10% of 4200 is 420.

Step-by-step explanation:

Answer:

-12c - 16

Step-by-step explanation:

[tex] - 7 + 3( - 4c - 3) \\ = - 7 + 3 \times ( - 4c) + 3 \times ( - 3) \\ = - 7 - 12c - 9 \\ = - 16 - 12c \\ = - 12c - 16[/tex]

Look at the attached picture⤴

Hope it will help u....:)

Answer:

-2,2

Step-by-step explanation:

Answer:

Hence the order of gloves(3) is less that actual number of left handed player(4) in team.

Step-by-step explanation:

Given:

Total players =36 i.e  they need total of 36 gloves with as per dominant hand

(Left or Right)

She ordered 3 gloves for left handed players.

And there are 10 % player which are left handed.

To Find:

Is ordered gloves are enough ?

Solution:

Given, that only 10 % of 36 are left handed.

Left handed player in team=10% of 36

[tex]=(10/100)*36[/tex]

=0.1*36

=3.6

For Rounding off figure ,nth place after decimal is greater that half i.e 5(here it is 6) so add one in next place

i.e Using significant figures 3.6 is approximately equals to 4

And the Total ordered gloves are , less than the actual number of left handed players.

Final answer:

Izzy needs to order at least 4 left-handed gloves for the 36 players, as 10% of 36 is 3.6, which rounds up to 4. Ordering only 3 gloves would not be sufficient.

Explanation:

Izzy is responsible for ordering gloves for baseball and softball teams with a total of 36 players. Since 10% of the players are left-handed, Izzy would need to calculate 10% of 36 to determine the number of left-handed gloves required. The calculation would be 0.10 × 36, which equals 3.6. Since you can't have a fraction of a glove, Izzy would need at least 4 left-handed gloves to accommodate all the left-handed players. Therefore, ordering only 3 left-handed gloves is not enough.

Answer:

1/5

Step-by-step explanation:

First find out how many gumballs there are in total. In this case, 70. Then see how many there are of the thing you are trying to find the probability of getting, in this case, 14. Finally see how many times the smaller goes into the larger, in this case, 5. There is a 1 in 5 chance, also known as 20%

Answer:

20% or 1/5

Step-by-step explanation:

24 + 5 + 18 + 14 + 9 = 70

14/70 = 1/5 = 0.2 = 20%

Answer:

the greatest common factor here is 5, because 5 is it's own biggest number that is a factor of 15. so factoring this problem using 5 (gcf), would leave you with 5(x-3) because you divided each number by the gcf (5)

Answer:

$90 of interest will be earned.

Step-by-step explanation:

We are given the following in the question:

Principal,P = $250

Time, T = 18 months = 3 years

Rate, R = 12% = 0.12

Formula for simple interest:

[tex]I =\dfrac{P\times R\times T}{100}[/tex]

Putting values, we get,

[tex]I =\dfrac{250\times 12\times 3}{100} = \$90[/tex]

Thus, interest of $90 will be earned.

Answer: 2.22

Step-by-step explanation:

Answer:

Approximately 42.42%

Step-by-step explanation:

If you subtract 42.42% from 33 it equals approx 19.

Answer:

nine subtracted from y is lesser than 1 added to y

Answer: last one

Step-by-step explanation:

Did it

Answer:

c

Step-by-step explanation:

just did it

Answer:

A = C + 16

Step-by-step explanation:

Given

A = B + 12 and B = C + 4, then substitute B = C+ 4 into A, that is

A = C + 4 + 12

A = C + 16

Final answer:

The reflection of point (4, -2) across the y-axis is (-4, -2), and the reflection of point (7, -4) across the x-axis is (7, 4).

Explanation:

When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (4, -2) across the y-axis is (-4, -2).

Similarly, when a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains unchanged. This means the reflection of the point (7, -4) across the x-axis is (7, 4).

Answer:

8?

you gotta do the math.

Answer:

the tile is 4.50 per square foot to install

it will cost 3780.00 to install 840 square feet

Step-by-step explanation:

divide 607.50 by 135 to find out the price per square foot to install

multiply the price per square foot by the number of square feet you are installing so 4.50 X 840

Answer:

(x+3)m

Step-by-step explanation:

Area of a rectangle = Length × width

Given the area = (x²-9)m²

Width = (x-3)m

Length of the rectangle = Area/Width

Length of the rectangle = x²-9/x-3

= x²-3²/x-3

Note that according to different of two square, a²-b² = (a+b)(a-b)

Therefore x²-3² = (x+3)(x-3)

Length of the rectangle

= (x+3)(x-3)/x-3

= x+3

The length of the rectangle is (x+3)m

The expression representing the length of the rectangle is (x - 3) meters.

To find the length of the rectangle, you need to divide the given area by the width.

In this case, the area of the rectangle is represented by the expression x^2 - 9x, and the width is represented by the expression x - 3.

So, you can find the length by dividing the area by the width:

Length = Area / Width

Length = (x^2 - 9x) / (x - 3)

Now, let's simplify this expression. You can factor the numerator:

x^2 - 9x = x(x - 9)

So, the expression for the length becomes:

Length = (x(x - 9)) / (x - 3)

Now, you can cancel out the common factor of (x - 9) in the numerator and denominator:

Length = x

Therefore, the length of the rectangle is simply x meters.

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The horizontal asymptote is at y=4, shown by the green dashed line. This indicates the behavior of the function as x becomes very large in magnitude.

The blue dot marks the y-intercept at (0,6).

To find the graph that represents the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex], let's analyze its characteristics step by step:

1. Identify the Type of Function

The function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex] is a rational function, specifically a transformed version of the reciprocal function.

2. Vertical Asymptote

The denominator [tex]\( x - 1 = 0 \)[/tex] gives the vertical asymptote, which is [tex]\( x = 1 \)[/tex]. This means the graph will approach but never touch the line [tex]\( x = 1 \)[/tex].

3. Horizontal Asymptote

For large values of x, the term [tex]\( \frac{2}{x-1} \)[/tex] approaches zero. Thus, the horizontal asymptote is determined by the constant term, which is [tex]\( y = 4 \)[/tex].

4. Y-Intercept

To find the y-intercept, set [tex]\( x = 0 \)[/tex]:

[tex]\[ f(0) = \frac{2}{0-1} + 4 = 2 + 4 = 6 \][/tex]

So, the y-intercept is at (0, 6).

5. Behavior around Asymptotes

6. Additional Points

It might be helpful to calculate the function's value at a couple of additional points for a more accurate graph. For instance, calculate [tex]\( f(2) \)[/tex] and [tex]\( f(-1) \)[/tex].

7. Sketching the Graph

Considering these characteristics, the graph:

Here is the graph of the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex]. As analyzed:

(Graph is give below)

It has a vertical asymptote at x=1, represented by the red dashed line. The function goes to negative infinity as x approaches 1 from the left and to positive infinity as x approaches 1 from the right.

The complete question is here:

Which graph represents the function [tex]$f(x)=\frac{2}{x-1}+4$[/tex] ?

Answer:

100% growth rate or it doubles

Step-by-step explanation:

This is of the form

y = ab^x

where a is the initial value and

b is the growth/decay factor

b>1 growth

b<1 decay

Since b>1 it is growth

We determine the growth rate by

b-1

2-1 =1

Multiply by 100%

1*100% = 100 % growth rate

Answer:

[tex]18 0 - 60 = 120 \\ \\ \frac{120}{360} \times \pi {r}^{2} \\ \frac{1}{3} \times 3.14 \times 4 \times 4 \\ = 16.75 {u}^{2} [/tex]

Answer B is correct.

Answer:

4h = 4 + 6(h - 2)

4h = 4 + 6h - 12

4h = 6h - 8

2h = 8

h = 4 hours

Eric will catch up with Jan at 5:00.

Answer:

x=32 degrees

Step-by-step explanation:

a triangle sum up to 180 degrees.

to find x

42+ x+106 =180

Subtract the numbers to let x stand on its own

x= 180 - 106- 42

x=32

Answer:

32⁰

Step-by-step explanation:

By angle sum property :

106 + 42 + x = 180

x = 180 - 148

x = 32⁰

Answer:OC=10 did pythogrean

The angle is 36.9 or 37 rounded sin-1= 6/10

Step-by-step explanation: