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andrew-mc [135]
3 years ago
9

writing an equation of a line given its slope and y-intercept. write an equation in slope-intercept form for the line with slope

-5 and y-intercept 1.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

y = -5(x-1)

Step-by-step explanation:

A y-intercept of 1 means that the point (0,1) falls on the line.

Slope-intercept form is y-y_{1} =m(x-x_{1} ) where m is the slope...

Therefore, the slope-intercept equation is y-1=-5(x-0) or y-1=-5x

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Which of the following high speed trains are traveling at a rate of 150 miles per hour? A: a train that travels 100 miles in 2/3
kondor19780726 [428]

Answer:

A)

Step-by-step explanation:

youjust have to do this:

100 miles-------------------2/3 hour

x-------------------------------3/3 hour or 1 hour

x=100x1/0.6666666667      2/3=0.6666666667

x= 150 miles

8 0
3 years ago
How would I do this? What would it be?
Vinvika [58]

50

Step-by-step explanation:

Since AE is the bisector of angle BAC,so angle BAE and Angle CAE is equal. Here Angle CAE and Angle EAC is same.

therefore,

m(Angle BAE)=m(Angle EAC)

x + 30 = 3x - 10

or, 2x=40

or, x=20

Hence,

m(Angle EAC)=

3x - 10

=

(3 \times 20) - 10  = 60 - 10 = 50

4 0
3 years ago
Read 2 more answers
The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit p
ANTONII [103]

Answer:

Demand Equation: q = 15125 - 25p.

Supply Equation: 80p - 24000 = 9q.

Equilibrium Price: $525.

Equilibrium Quantity: 2000 units.

Step-by-step explanation:

To solve this question, first, the demand equation has to be calculated. Let price be on the y-axis and quantity by on the x-axis. It is given that p = $485 when q = 3000 units. This can also be written as (q₁, p₁) = (3000, 485). It is also given that when the price goes down by $20, the quantity increases by 500 units. Therefore, (q₂, p₂) = (3500, 465). Due to the statement "For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units", the demand function will be linear i.e. a straight line. This is because the word "for each" has been used. Therefore, finding the equation of the demand function:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 485)/(q - 3000) = (465 - 485)/(3500 - 3000).

(p - 485)/(q - 3000) = (-20)/(500).

(p - 485)/(q - 3000) = -1/25.

25*(p - 485) = -1*(q - 3000).

25p - 12125 = -q + 3000.

25p + q = 15125.

q = 15125 - 25p. (Demand Equation).

Second, find the supply equation. It is given that the suppliers will not sell the product below or at the price of $300. Therefore, (q₁, p₁) = (0, 300). Also, the suppliers will sell 2000 units if the price is $525. Therefore, (q₂, p₂) = (2000, 525). Since it is mentioned that supply equation is linear, therefore:

(p - p₁)/(q - q₁) = (q₂ - q₁)/(p₂ - p₁).

(p - 300)/(q - 0) = (525 - 300)/(2000 - 0).

(p - 300)/(q) = (225)/(2000).

(p - 300)/(q) = 9/80.

80*(p - 300) = 9*(q).

80p - 24000 = 9q. (Supply Equation).

Equilibrium exists when demand = supply. This means that the demand and the supply equations have to be solved simultaneously. Therefore, put demand equation in supply equation:

80p - 24000 = 9(15125 - 25p).

80p - 24000 = 136125 - 225p.

305p = 160125.

p = $525.

Put p = $525 in demand equation:

q = 15125 - 25p.

q = 15125 - 25(525).

q = 15125 - 13125.

q = 2000 units.

To summarize:

Demand Equation: q = 15125 - 25p!!!

Supply Equation: 80p - 24000 = 9q!!!

Equilibrium Price: $525!!!

Equilibrium Quantity: 2000 units!!!

8 0
3 years ago
On monday caroline spent 2/3hour riding her bike and 1 3/4 doing homework how many more hours did caroline spend doing homework
Andrej [43]
2/3 hour is 40 minutes. 1 3/4 hour is 1 hour and 45 minutes. So she spent 1 hour and 5 minutes or 1 1/12 hour longer doing homework.
8 0
3 years ago
Read 2 more answers
1. The South Bowie Library and Oxon Hill Library are having a used book sale. The total cost, y, is a
Juli2301 [7.4K]

if there is any there should not be tho

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2 years ago
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