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Komok [63]
3 years ago
14

Evaluate the expression 3x+5y for the given variable x=y+3

Mathematics
1 answer:
zysi [14]3 years ago
3 0
3(y+3)+5y 

<span>= 3y + 9 + 5y (combining like terms)</span>

<span>= 8y + 9 </span>
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What is the vertex of the quadratic function f(x)=(x-8)(x-2)
stich3 [128]
F(x)=(x−8)(x−2)

y=(x−5)2−9
(Pretend the 2 is an exponent)

Use the vertex form, y=a(x−h)2+ky=a(x-2+k, to determine the values of a,h, and k.

a=1
h=5
k=-9

Find the vertex (h, k).
(5, -9)
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Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes.
kotegsom [21]

Answer:

P = 1/216

the probability that you would roll 3 sixes is 1/216

Step-by-step explanation:

For a given dice, there are six possibilities.

We have;

1,2,3,4,5,6

The probability of rolling a six(6) is;

P(6) = 1/6

Then, the probability of rolling 3 sixes is a multiple of the P(6), given as;

P = P(6) × P(6) × P(6)

P = 1/6 × 1/6 × 1/6

P = 1/216

the probability that you would roll 3 sixes is 1/216

4 0
3 years ago
A 3-mi cab ride costs $3.00. A 6-mi cab ride costs $4.80. Find a linear equation that models cost c as a function of distance d.
scZoUnD [109]

Answer:

c=0.6d+1.2

Step-by-step explanation:

Let c the cost and d the distance. The linear equation has the form

c=md+b

the slope m can be computed by means of the given points:

(d1,c1)=(3,3)

(d2,c2)=(6,4.8)

where

m=\frac{c2-c1}{d2-d1}

hence

m=\frac{4.8-3}{6-3}\\m=\frac{1.8}{3}\\m=0.6

Now, we must find the y-intercept "b" in the equation c=0.6d+b, by using the point (3,3), that is

3=0.6(3)+b

3=1.8+b

b=3-1.8

b=1.2

Finally, the answer is

c=0.6d+1.2

3 0
3 years ago
Read 2 more answers
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