For each situation, determine the slope and y-intercept of the graph of the equation that describes the situation.

John gets a new job and receives a $500 signing bonus. After that, he makes $200 a day.

Answer:

The ramp must cover a horizontal distance of approximately 19.081 feet.

Step-by-step explanation:

Given the vertical distance ([tex]y[/tex]), measured in feet, and the angle of the wheelchair ramp ([tex]\theta[/tex]), measured in sexagesimal degrees. The horizontal distance needed for the ramp ([tex]x[/tex]), measured in feet, is estimated by the following trigonometrical expression:

[tex]x = \frac{y}{\tan \theta}[/tex] (1)

If we know that [tex]y = 1\,ft[/tex] and [tex]\theta = 3^{\circ}[/tex], then the horizontal distance covered by this ramp is:

[tex]x = \frac{1\,ft}{\tan 3^{\circ}}[/tex]

[tex]x \approx 19.081\,ft[/tex]

The ramp must cover a horizontal distance of approximately 19.081 feet.

Answer:

The 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where k is called the 'constant of proportionality'.

Given the table

x         0          5           10             15

y         2         17           32             47

Let us calculate the k value for all the points

FOR (0, 2)

k = y/x

substitute x = 0, and y = 2

k = 2 / 0 = ∞

FOR (5, 17)

k = y/x

substitute x = 5, and y = 17

k = 17/5

k = 3.4

FOR (10, 32)

k = y/x

substitute x = 10, and y = 32

k = 32/10

k = 16/5

k = 3.2

FOR (15, 47)

k = y/x

substitute x = 15, and y = 47

k = 47/15

k = 3.1

It is clear that the 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Answer:

Yes.

Step-by-step explanation:

Every input has a specific output.

ima say yes but I may not be correct if somebody else answers chose them and let me be your last chose ;-;

Answer:

Step 3

Step-by-step explanation:

They didn't subtract the 1 on the right side making it equivalent

Answer:

the answers are

60

90

30

30

60

9514 1404 393

Answer:

  (c)  6 inches

Step-by-step explanation:

The ratio ...

  1 in : 2 ft

can be multiplied by 6 to find the length corresponding to 12 ft:

  6×1 in : 6×2 ft

  6 in : 12 ft

The ceiling height in the model is 6 inches.

Answer:

Step-by-step explanation:

Acute as it is less than 90 degrees

Answer:

acute

Step-by-step explanation:

its less than 90 see the image

Answer:

0.5b + 1.5p ≤ 8

Step-by-step explanation:

The inequality function is as follows:

Let us assume the number of bananas acquired be b

And, the number of peaches acquired be p

Cost of each banana be $0.50

ANd, the cost of each peach be $1.50

Also the total would be $8

The possible values of banana is 0.5b

And, for peaches it would be 1.5p

So, the inequality function is

0.5b + 1.5p ≤ 8

Answer:

0.5b + 1.5p ≤ 8

Step-by-step explanation:

Answer:

D 216 pizzas

Step-by-step explanation:

if there expecting 1,088 I would say that's 56 pizzas

Answer:

A=0

Step-by-step explanation:

a + 3 + 2a = - 1 + 3a + 4

a+2a-3a=-1+4-3

3a-3a=0.

0=0

Answer:

read below

Step-by-step explanation:

equilateral

isosceles

scalene

Answer:

Shari is correct

Step-by-step explanation:

Here, we want to select the correct translation of the graphed function

9 spaces down (vertically on y-axis) and 4 spaces right, to the positive x axis

What we have here means we go 9 units down, subtracting 9 from the y-value(f (x)) and adding 4 to x

The correct answer is;

f(x) = -2(7/10)^(x + 4) - 9

Answer:

y = (- 4/3) x + 2

Step-by-step explanation:

Remark

The y intercept is (0,2)

The other point is you could use is (3,-2)

First find the slope

The two given points are (0,2) and (3,-2)

Givens

y2 = - 2

y1 = 2

x2 = 3

x1 = 0

Formula

m = (y2 - y1)/(x2 - x1)

Solution for m

m = (-2 - 2)/(3-0)

m = -4/3

Solution for the line

m = - 4/3

y intercept = 0,2

y = mx + b

y = (- 4/3) x + 2

Answer:

I think that the answer is A

Answer:

and because it was a test.

Step-by-step explanation:

that was the answer ok so for the mathematical errors. okay? undostands?

Answer:

it was 33.75

Step-by-step explanation:

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

Answer:

9x=15x

Step-by-step explanation:

This is not correct

Answer:

it's correct

Step-by-step explanation:

(4x + 5x) + 6x = 4x + (5x + 6x)

9x+6x = 4x+ 11x

15x=15x

proved ✓✓

Answer:

Hopes this answer your question :)

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

0 & 3

Step-by-step explanation:

First x is by itself so the root is 0

Second is 3 because you set x-3=0 and add 3 to the other side so x=3

Answer:

0 and 3

Step-by-step explanation:

You need to find the root of the equation, which would be 0, and 3.

To find the root, all you do is solve for x.

Answer: 0.0895

Step-by-step explanation:

Let p= population proportion.

Given : Sample size : n= 500

p= 0.47

Required probability = [tex]P(\ha{p}>0.50)[/tex]

[tex]=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.50-0.47}{\sqrt{\dfrac{0.47(1-0.47)}{500}}}) \\\\=P(z>1.344)\ \ \ [z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(z<1.344)\\\\=1-0.9105\approx0.0895[/tex]

Hence, required probability = 0.0895

Answer:

(-10)² = 100

-10² = -100

Difference = 200

Step-by-step explanation:

For the individual expressions;

(-10)² = -10 * -10

(-10)²  = +100

For -10²

-10² = -(10*10)

-10² = -100

Taking the difference;

(-10)² - (-10²) = 100 - (-100)

(-10)² - (-10²) = 100 + 100

(-10)² - (-10²) = 200

Hence the difference is 200

Answer:

I'm not too sure about this one, but I think it's 36% since that's

how many they got when they flipped the coin. In reality, it's 50% for both sides.

Correct question:

An elevator in a mine shaft is stopped at 25 feet below ground level. And then travels 28 feet downward. What equation can be written to find the final position in feet of the elevator in relations to ground level?

Answer:

-53 feets

Step-by-step explanation:

Initial stop point = 25 feets below ground level

Further distance traveled = 28 feets below ground level

Final position in feet = Initial stop point + further distance traveled

Note : distances or point traveled below ground level or downward is represented as negative.

Final position in feets = (-25)feets + (-28)feets

Final position in feets = - 53 feets

Answer:

-138

Step-by-step explanation: