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3 years ago

Evaluate this function: For f(x) = -2x + 9, find f(5)

Mathematics

2 answers:

saul85 [17]3 years ago

8 0

f(5) is -1

Step-by-step explanation:

Step 1: Given f(x) = -2x + 9, find f(5)

f(5) = -2 × 5 + 9 = -10 + 9 = -1

Anna35 [415]3 years ago

5 0

Answer:

The answer is -1

Step-by-step explanation:

F(x)=-2x+9

When x=5

Substitute x=5 in the above equation

F(5)=-2(5)+9

F(5)=-10+9

F(5)=-1

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The area of an equilateral triangle is given by A =3^1/2/4s^2. Find the length of the side s of an equilateral triangle with an

yan [13]

Answer:

The length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

$A=3^\frac{1}{2}s^2$

It can be written as

$a=\frac{\sqrt{3}}{4} s^2$ Square inches (1)

To find the length of the side s os an equilateral triangle

Given that area of an equilateral triangle is $12^\frac{1}{2}$ square inches

It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches

It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches (2)

Now comparing equations (1) and (2) we get

$\frac{\sqrt{3}}{4}s^2=\sqrt{12}$

$\frac{\sqrt{3}}{4}s^2=\sqrt{4\times 3}$

Dividing by $\frac{\sqrt{3}}{4}$ on both sides we get

$\frac{\frac{\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}}=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{4}}$

$\frac{\sqrt{3}}{4}s^2\times\frac{4}{\sqrt{3}}=2\sqrt{3}\times\frac{4}{\sqrt{3}}$

$s^2=8$

$s=\sqrt{8}$

Therefore $s=2\sqrt{2}$ inches

Therefore the length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

3 0

3 years ago

When solving -1/8 (x + 35) = −7, what is the correct sequence of operations?

mariarad [96]

<u>ANSWER: </u>

Division, multiplication, addition is the correct sequence of operations for solving $-\frac{1}{8}(x+35)=-7$

<u>SOLUTION: </u>

Given, equation is $-\frac{1}{8}(x+35)=-7$

We need to solve the given equation in correct sequential order.

So, let us follow the BODMAS rule.

BODMAS means sequence of operations are brackets, orders, division, multiplication, addition, subtraction

Now,

$-\frac{1}{8}(x+35)=-7$

As the term in brackets cannot be processed further we can go for next term.

Now the division operation has to be done first according to BODMAS

- 0.125(x+35)= -7

Multiplication comes second in order.

-0.125x+4.375= -7

On rearranging the terms, we get

-0.125x+4.375+7=0

Now perform addition according to BODMAS

-0.125x+11.375=0

0.125x=11.375

$x=\frac{11.375}{0.125}=91$

Hence division, multiplication, addition is the correct sequence of operations for solving $-\frac{1}{8}(x+35)=-7$

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Step-by-step explanation:

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