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Alborosie
3 years ago
11

Systems of equations with different slopes and different y-intercepts have one solution. Plzzz explain

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
Y=2x+4, the slope is 2, A(0,4)-y intercept
y=x+2, the slope is 1, B (0,2)- y intercept

the system is 2x-y=-4
                      -x+y= 2
                     -----------
                       x= -2
                        y=0   is the solution ( only one)
 
   


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Which exponential function goes through the points (1, 8) and (4, 64)?
Mama L [17]
An exponential function can be expressed as:

y=ab^x  we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)
6 0
3 years ago
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klemol [59]

Answer:

I believe x is greater than or equal to 1

8 0
3 years ago
Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile d
Darina [25.2K]

Answer:

Step-by-step explanation:

Base fee = $17.99

Additional charge = $0.95 for each mile driven

If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.

157.65 - 17.99 = 139.65

This means that the remaining $139.65 is how much he paid for the miles he drove.

Since we know each mile costs $0.95.

Simply divide $139.65 by $0.95 to work out how many miles he drove.

Miles driven = 139.65 / 0.95 = ?

4 0
3 years ago
A sleep time of 15.9 hours per day for a newborn baby is at the 10h percentile of the distribution of sleep times for all newbor
Nuetrik [128]

Answer:

option (D) 16.5

Step-by-step explanation:

Data provided:

Sleep time of , X = 15.9 is at the 10th percentile

Standard deviation, σ = 0.5  hour

also,

10th percentile of normal distribution is

Z = F⁻¹(0.10)

or

Z = - 1.28  (Using Standard Normal distribution)

Now,

\\Z=\frac{X-\mu}{\sigma}

or

X = μ + ( σ × Z )

or

μ = X - ( σ × Z )

on substituting the respective values, we get

μ = 15.9 - 0.5 × (-1.28)

or

μ = 16.5

Hence, the correct answer is option (D) 16.5

8 0
3 years ago
Please help!!!!!!!!!!!!!!!
tamaranim1 [39]

Answer:

(y¹-y¹/x¹-x¹)

8-11/10-19

-3/-9

1/3

Step-by-step explanation:

1/3 or one-third is your answer!

7 0
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