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3 years ago

(7 4/9 −8)∙3.6–1.6∙( 1/8 − 3/4 )+1 2/5 ÷(−0.35)

Mathematics

2 answers:

katrin2010 [14]3 years ago

5 0

Answer:

-4.10

Step-by-step explanation:

We have so solve $(7\tfrac{4}{9}-8)(3.6)-(1.6)(\frac{1}{8}-\frac{3}{4})+1\tfrac{2}{5}\div (-0.35)$

To solve this expression we will use BODMAS.

B ⇒ Bracket

O ⇒ open

D ⇒ Divide

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

First we will solve inside the brackets.

(1) $(7\tfrac{4}{9}-8)=\frac{69}{9}-8=(\frac{67-72}{9})=(\frac{-5}{9})$

(2) $(\frac{1}{8}-\frac{3}{4})=\frac{1-6}{8}=(\frac{-5}{8})$

Now expression becomes

$(\frac{-5}{9})(3.6)-(1.6)(\frac{-5}{8})+\frac{7}{5}\div (-0.35)$

= $(-5)(0.04)-(0.02)(-5)+\frac{7}{5}\times \frac{1}{(-0.35)}$

= $(-0.20)-(-0.10)+\frac{1}{5(-0.05)}$

= $-.20+.10-\frac{1}{.25}=-.20+.10-4$

= -4.20 + 0.10 = -4.10

salantis [7]3 years ago

3 0

Answer:

The answer is 2/5. ☺ Hope this helps

Step-by-step explanation:

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$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

WAIT! How is this possible? $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "-1 to the fourth."