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4 years ago

1) SHOW WORK: Evaluate f(-2):

Mathematics

2 answers:

timofeeve [1]4 years ago

5 0

Answer:

Step-by-step explanation:

$1)\\f(x)=3x-4\\\\f(-2)\to\text{put x = -2 to the equation of the function}\ f(x):\\\\f(-2)=3(-2)-4=-6-4=-10\\2)\\f(x)=x^2-4\\\\f(8)\to\text{put x = 8 to the equation of the function}\ f(x):\\\\f(8)=8^2-4=64-4=60$

babymother [125]4 years ago

4 0

Answer:

- 10 and 60

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = (3 × - 2) - 4 = - 6 - 4 = - 10

To evaluate f(8) substitute x = 8 into f(x)

f(8) = 8² - 4 = 64 - 4 = 60

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3 years ago

Please Help!!!!

Iteru [2.4K]

Step-by-step explanation:

Given : m∥n , ∠1= 50° , ∠2= 48° , and line s bisects ∠ABC

To prove = ∠3= 49°

Solution:

In figure, m∥n cut by traversal t.

So, ∠DEF = ∠ABC(alternative exterior angles)

∠1 + ∠2 = ∠4 + ∠5

∠ABC = ∠1 + ∠2 = 50° + 48° = 98°

Also given that s bisect angles ∠ABC.

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3 years ago

Perform the indicated operation and write the result in the form a+bi:<br><br> (4/7 - i)(8/7 + 7/5i)

aivan3 [116]

We will apply the "FOIL" method for multiplying two binomials. In this method you will:

Multiply the First terms of each binomial
Multiply the Outside terms of each binomial
Multiply the Inside terms of each binomial
Multiply the Last terms of each binomial
Add all of the new terms you have just found together

The mathematical representation of the FOIL method is shown as:

$(a + b)(c + d) = ac + ad + bc + bd$

Let's apply the FOIL method.

The first two terms of each binomial are $\frac{4}{7}$ and $\frac{8}{7}$ . Multiplied together, we find the new term of $\frac{4}{7} \cdot \frac{8}{7} = \frac{4 \cdot 8}{7 \cdot 7} = \frac{32}{49}$ .
The outside two terms are $\frac{4}{7}$ and $\frac{7}{5} i$ . Multiplied together, these two terms are $\frac{4}{7} \cdot \frac{7}{5}i = \frac{4 \cdot 7}{7 \cdot 5}i = \frac{28}{35}i$ .
The inside two terms are $-i$ and $\frac{8}{7}$ . Multiplied together, these two terms are $- \frac{8}{7} i$ .
The last two terms are $-i$ and $\frac{7}{5} i$ . Multiplied together, these two terms are $-i \cdot \frac{7}{5}i = -\frac{7}{5} i^2$ . Remember though that $i^2 = 1$ , so our new term is actually $\frac{7}{5}$ .
Added together, we get: $\frac{32}{49} + \frac{28}{35} i - \frac{8}{7} i + \frac{7}{5} = \frac{160}{245} + \frac{196}{245}i - \frac{280}{245}i + \frac{343}{245} = \frac{503}{245} - \frac{84}{245} i = \frac{503}{245} - \frac{12}{35}i$ .

Our final answer is $\boxed{\frac{503}{245} - \frac{12}{35}i}$ .

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3 years ago