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3 years ago

Please help me! I’ll name you brainiest!!!

Mathematics

2 answers:

Kamila [148]3 years ago

8 0

Answer:

Step-by-step explanation:

first, put in (5x-4) for the x in g(x).

g(f(x))=(5x-4)^2 -1

now, FOIL and simplify.

25x^2-40x+16-1

25x^2-40x+15

now, plug in -1 for x.

25(-1)^2-40(-1)+15

25+40+15

yKpoI14uk [10]3 years ago

6 0

Yea I’m pretty sure it’s 80

You might be interested in

10. Two lighthouses are located on a north-south line.

Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

$\mathbf{\angle A = 180^o - 120^o\ 43'}$

Convert to degrees

$\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}$

$\mathbf{\angle A = 180^o - (120^o +0.717^o)}$

$\mathbf{\angle A = 180^o - (120.717^o)}$

$\mathbf{\angle A = 59.283^o}$

$\mathbf{\angle B = 39^o43'}$

Convert to degrees

$\mathbf{\angle B = 39^o + \frac{43}{60}^o}$

$\mathbf{\angle B = 39^o + 0.717^o}$

$\mathbf{\angle B = 39.717^o}$

So, the measure of angle S is:

$\mathbf{\angle S = 180 - \angle A - \angle B}$ ---- Sum of angles in a triangle

$\mathbf{\angle S = 180 - 59.283 - 39.717}$

$\mathbf{\angle S = 81}$

The required distance is distance AB

This is calculated using the following sine formula:

$\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }$

Where:

$\mathbf{AS = 3742}$

So, we have:

$\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}$

Make AB the subject

$\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}$

$\mathbf{AB= 5783.96}$

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0

2 years ago

The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to esti

Olenka [21]

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6\times1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 \times 0.001=0.012$

So the error is 0.012.

3 0

3 years ago

Need help please !!!

irina1246 [14]

sin^2 x + 4 sinx +3 3 + sinx

-------------------------- = -------------------

cos^2 x 1 - sinx

factor the numerator

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

cos^2 x 1 - sinx

cos^2 = 1-sin^2x

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

1- sin^2x 1 - sinx

factor the denominator

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

(1-sinx ) (1+sinx) 1 - sinx

cancel the common term (1+sinx) and (sinx +1)

(sinx +3) 3 + sinx

-------------------------- = -------------------

(1-sinx ) 1 - sinx

reorder the first term

3+sinx 3 + sinx

-------------------------- = -------------------

(1-sinx ) 1 - sinx

3 0

3 years ago

Order the following values from least to greatest.<br> 1-2<br> 3<br> -7<br> 14.5

OLEGan [10]

-7, |-2|, 3, 4.5 I did this earlier

5 0

2 years ago

Molly has $500 in her savings account. She owes her parents $100 for a new outfit. She also owes her brother $25. What is her cu

Inessa [10]

Answer: His net worth is $375

Step-by-step explanation:

Since, Net worth = Total assets - total liabilities

And, here the total assets of Molly = the money she has in her saving account

= $500

Also, according to the question,

She owes her parents $100 and her brother $25.

Therefore, total liability of her = 100 + 25 = $125

Thus, Her net worth= 500 - 125 = $375

3 0

4 years ago