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Naily [24]
2 years ago
8

If f(x)=-3x-2, find f(-2)+9

Mathematics
1 answer:
mash [69]2 years ago
4 0

Answer:

13

Step-by-step explanation:

Replace the variable x with -2 in the expression.

f (-2) = -3 x -2 -2

Simplify (-3 x -2 -2) + 9

Multiply -3 by -2

6 - 2 + 9

Subtract 2 from 6

4 + 9

add 4 and 9

13.

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Answer:

$100

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Step-by-step explanation:

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3 years ago
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Find the 67th term of the following arithmetic sequence.<br> 14, 20, 26, 32, ...
Jlenok [28]

Answer:

410

Step-by-step explanation:

You can use the equation f(n)= 14+(n-1)6 and you substitute in 67 for n.

7 0
2 years ago
Solve each triangle. Round your answers to the nearest tenth.<br>show work If possible ​
kvasek [131]
<h2>Answer:</h2>

∠ABC = 76°

BC = 20.1

CA = 28.0

<h2>Step-by-step explanation:</h2>

Solving the triangle means finding all unknown angles and sides of the triangle.

(i) Two of the angles (∠BCA = 60° and ∠CAB  = 44°) are given. To find the third angle (∠ABC), use one of the theorems stating <em>that the sum of angles of a triangle is equal to 180°.</em>

Therefore, the sum of angles of the triangle ABC is 180°. i.e

∠ABC + ∠BCA + ∠CAB = 180°

=> ∠ABC + 60° + 44° = 180°

=> ∠ABC + 104° = 180°

=> ∠ABC = 180° - 104°

=> ∠ABC = 76°

(ii) One side (BA) of the triangle is given. To get the other sides, we use the sine rule as follows;

=> \frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}

=> \frac{sinBCA}{BA} = \frac{sinCAB}{BC} = \frac{sinABC}{CA}

<em>Substitute the necessary values</em>

\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}      ---------------------(ii)

(a) To get side BC, use the first two terms of equation (ii)

\frac{sin60}{25} = \frac{sin44}{BC}

<em>Cross multiply</em>

BC x sin 60 = 25 x sin 44

BC x 0.8660 = 25 x 0.6947

0.8660 x BC = 17.3675

BC = \frac{17.3675}{0.8660}

BC = 20.05

=> BC = 20.1 to the nearest tenth

(b) To get CA, use any two terms of equation (ii). Using the first and third terms, we have;

\frac{sin60}{25} = \frac{sin76}{CA}

<em>Cross multiply</em>

CA x sin 60 = 25 x sin 76

CA x 0.8660 = 25 x 0.9703

0.8660 x CA = 24.2575

CA = \frac{24.2575}{0.8660}

CA = 28.01

=> CA = 28.0 to the nearest tenth

5 0
3 years ago
Find the equation of the horizontal line at a height of -3.9.
Sholpan [36]

The equation of the line will be y = -3.9, and the height after rounding off will be -4.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The horizontal line can be defined as:

y = a

Where a is the constant.

Here a = -3.9

y = -3.9

The height = -3.9 ≈ -4

Thus, the equation of the line will be y = -3.9, and the height after rounding off will be -4.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

3 0
1 year ago
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RSB [31]
The answer is 9 because 6/2 is 3 and if you multiply that by 1 it's 3 and if you multiply 3 by 2 you get 6 so you add them up and get 9.
7 0
3 years ago
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