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aniked [119]
2 years ago
5

P varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.

Mathematics
2 answers:
lorasvet [3.4K]2 years ago
7 0

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In this problem we have

p=20.8\\q=31.2

Find the value of k

k=q/p

Substitute the values

k=31.2/20.8

k=1.5

The linear equation is

q=1.5p

For q=15.3

Find the value of p

Substitute in the linear equation and solve for p

15.3=1.5p

p=15.3/1.5=10.2

therefore

<u>the answer is the option a</u>

10.2

sergiy2304 [10]2 years ago
4 0
<span>a.10.2
p/q x 15.3 = 10.2</span>
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17w+35

Step-by-step explanation:

(2+2w)⋅4+9(w+3)

Distribute the 4  and the 9

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F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
I'm too lazy to do the work by myself anyway, someone please help me thank you &lt;3 !!
In-s [12.5K]

Answer:

98

Step-by-step explanation:

10-3=7

7x7=49

49 x2 = 98

Have a good day! uwu

7 0
2 years ago
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