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Arturiano [62]
3 years ago
7

Find the value of k if it is known that the graph of y=kx goes through:

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

In y=kx , subst. -30 for x and 3 for y.  Then solve the resulting equation for k:

3 = k(-30).

Dividing both sides by -30, we get:

-3/30 = -1/10 = k

The constant of proportionality is k = -1/10.

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Which function is the inverse of f(x) = 2x + 3 ?
siniylev [52]
I think it might be f^-1 (x) = x/2 - 3/2
I hope this helps!
6 0
3 years ago
In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a st
Natasha_Volkova [10]

Answer:

P(a junior or a senior)=1

Step-by-step explanation:

The formula of the probability is given by:

P(A)=\frac{n(A)}{N}

Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.

In this case, N is the total number of the students of statistics class.

N=18+10=28

The probability of the union of two mutually exclusive events is given by:

P(AUB)=P(A)+P(B)

Therefore:

P(a junior or a senior) =P(a junior)+P(a senior)

Because a student is a junior or a senior, not both.

n(a junior)=18

n(a senior)=10

P(a junior)=18/28

P(a senior) = 10/28

P(a junior or a senior) = 18/28 + 10/28

Solving the sum of the fractions:

P(a junior or a senior) = 28/28 = 1

4 0
3 years ago
A train leaves Westchester at 6:30. What time should it arrive at Middlewich
Sholpan [36]

Answer:

a). 6:51

b). 6:30 am

c). 34 minutes

Step-by-step explanation:

a). Train leaves Westchester at 6:30.

   From the arrival - departure table in column (2),

   Arrival time of the train at middlewich = 6:51

b). Kate has to reach Southam before 9:00 am

   Therefore, time of the latest train that she can catch to get to work on time is 6:30 am

    By this train she can reach at 07:19 at Southam.

c). Duration of journey from Westchester to Eastwick = 06:34 - 06:00

                                                                                        = 00:34

                                                                                        ≈ 34 minutes

8 0
3 years ago
A box of 8 waffles weigh 26.9 ounces.The box weighs 4.5 ounces. What is the weight of each waffle?
Phoenix [80]
Each waffle weighs 5.97 ounces hope this helps!
8 0
3 years ago
,Line segment PQ is shown on a coordinate grid:
Marina86 [1]

Answer:

P'Q' is equal in length to PQ.

Step-by-step explanation:

Before rotation

P(-5, 3)

Q(-1, 3)

we get the length

L = √((-1-(-5))²+(3-3)²) = √((-4)²+(0)²) = 4

After rotation

P'(3, 5)

Q'(3, 1)

we get the length

L' = √((3-3)²+(1-5)²) = √((0)²+(-4)²) = 4

we can say that   L = L' = 4

P'Q' is equal in length to PQ.

6 0
3 years ago
Read 2 more answers
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