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3 years ago

Find the number of pairs (a,b) of integers such that a+2/a+5=b/3

Mathematics

1 answer:

Viktor [21]3 years ago

3 0

Answer:

Step-by-step explanation:

The expression can be rearranged to ...

b = 3 -9/(a+5)

In order for b to be an integer, (a+5) must be an integer divisor of 9. There are exactly 6 of those: ±1, ±3, ±9.

The attached table shows the values (a, b) = (x₁, f(x₁)).

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pochemuha

Answer:A

Step-by-step explanation:

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2 years ago

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

Given:

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

Use the Power Rule Law:

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

Use the Quotient Rule Law:

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

Use the Product Rule Law:

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

Simplify:

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

5 0

1 year ago

Y’all I need help with this

topjm [15]

Answer:

k = 5

Step-by-step explanation:

Since the quantities are in direct proportion then the equation relating them is

y = kx ← k is the constant of proportion

The y- axis is number of cups and x- axis is pounds of sugar

To find k use any of the 5 points highlighted on the graph

Using (8, 40 ), then

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5 = k

3 0

2 years ago

Explain how the steps of the distributive property can be used to solve the equation 3(x + 4) =36 ?

Oksanka [162]

Step-by-step explanation:

First, apply the distributive property to the left side of the equation. Multiply each of the two numbers inside the parentheses by 12 and then combine those products. Next, solve as you would solve any two-step equation. To isolate \begin{align*}12x\end{align*} on the left side of the equation, add 24 from both sides.

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2 years ago

Read 2 more answers

Jaleah needs some string to make bracelets. She needs

rodikova [14]

Answer:

312

Step-by-step explanation:

3/4 × 32 = 24

9 × 32 = 288

288 +24=312

8 0

2 years ago