1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nesterboy [21]
3 years ago
9

Need help for this. Math Alg

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

y = 2x - 3

Step-by-step explanation:

Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:  

(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).  

Therefore:  

(y – 3) = 2 (x – 3)

y – 3 = 2x – 6

y – 3 + 3 = 2x – 6 + 3

y = 2x - 3

You might be interested in
An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
3 years ago
What is six minus negative two x?
GalinKa [24]

Answer:

Therefore the Expression will be.

6-(-2x)

6+2x ...As minus - minus sign becomes plus.

Step-by-step explanation:

What is six minus negative two x?

Solution:

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as

  • ' + ' Plus Sign
  • ' - ' Minus Sign
  • ' × ' Multiplication Sign
  • ' ÷ ' Division Sign, etc.

Hence Our Statement is " six minus negative two x "

i.e. Number 6 minus sign then again a minus sign of 2x.

Therefore the Expression will be.

6-(-2x)

Also equals

6+2x ...As minus - minus sign becomes plus.

5 0
3 years ago
A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $400
NemiM [27]

Answer: 13 years.

Step-by-step explanation:

The price decreases by 14% anually

To find the decimal form, you have 14%/100% = 0.14

So, the year zero, the price is $27,500

After one year, the price is:

P = $27,500 - 0.14*$27500 = $27,500*(0.86)

After the second year, the price is:

P = $27,500*(0.86)^2

and so on, so we want to find x such that:

P = $27,500*(0.86)^x = $4000

0.86^x = $4000/$27,500

Now, using the natural logaritm rule:

a^x = b

x = ln(a)/ln(b)

x = ln($4000/$27,500)/ln(0.86) = 12.8

We can round it up to 13, so after 13 years the price of the car is about $4000

7 0
3 years ago
A sock drawer contains 18 blue socks and 10 black socks. If two socks are randomly drawn from the drawer without replacement, wh
harina [27]
I wanna say 1/14 but I'm really not sure
4 0
3 years ago
Read 2 more answers
Put these fractions in order from least to greatest 1/8 3/5 2/4 4/6
Korolek [52]

Answer: 1/8 < 2/4 < 3/5 < 1/8

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which of the following is not an example of a quadratic inequality?
    7·2 answers
  • What is the slope of (-2,-2) and (2,-3)
    9·2 answers
  • james has 43/4 feet of rope he plans to cut off 11/2 feet from the rope how much rope will be left please help
    13·1 answer
  • A rectangular wall measures 1620cm by 68cm. Estimate the area of the wall.
    7·1 answer
  • A window is shaped like a rectangle whose perimeter is 182 in . The length is 6 times as long as the width. Find the length and
    12·1 answer
  • I don’t know if I got the right answer but I hope someone can help
    13·1 answer
  • A roller coaster makes an angle of 52 degrees with the ground. The horizontal distance from the crest of the hill to the bottom
    7·1 answer
  • Sandra bought 5 pounds of sweet potatoes for $6.80. What is the cost per pound of the sweet potatoes?
    11·1 answer
  • The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
    6·1 answer
  • Bridget is tracking the amount of time she works out at the gym each day. The lengths of her
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!