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3 years ago

Solve each pair of simultaneous equations by substitution method

Mathematics

2 answers:

Contact [7]3 years ago

7 0

Answer:

x = 6 and y = 4

Step-by-step explanation:

Let's substitute x = y + 2 into 3x + 2y = 26.

3(y + 2) + 2y = 26

3y + 6 + 2y = 26

5y + 6 = 26

-6 -6

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

5y = 20

/5 /5

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

y = 4

Now, we know y = 4. We can plug y = 4 in either x = y + 2 or 3x + 2y = 26 to find the x value. Let's do x = y + 2.

x = 4 + 2

x = 6

Thus, x = 6 and y = 4

german3 years ago

4 0

Answer:

x = 6 and y = 4

Step-by-step explanation:

Just substitute the lower equation into the top one.

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Find f(g(-4)) if f(x) =7/x+2<br> and g(x) = (x + 5)^2. Options: -5/2 , -7/2 , 37/4 , 7/3

aev [14]

Answer:

7/3

Step-by-step explanation:

f(x) =7/(x+2)

g(x) = (x + 5)^2

f(g(-4))=

First find g(-4)

g(-4) = (-4+5)^2

=(1)^2 =1

Then find f(1)

f(1)= 7/(1+2)

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5 0

3 years ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

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3 years ago

Jade is thinking of a number. 3/4 of 200 is the same as 1/8 of her number. What number is she thinking of?

lorasvet [3.4K]

Answer:

1200

Step-by-step explanation:

3/4 of 200 = 150

150 is 1/8 of 1200

5 0

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(-3+x) divided by 2= negative one half

Arlecino [84]

Answer:

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Step-by-step explanation:

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Which one i greater 2/8 or 1/2 ?

ryzh [129]

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3 years ago

Solve each pair of simultaneous equations by substitution method​

Solve each pair of simultaneous equations by substitution method