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3 years ago

Algebra Help Please! Given f(x) = -3x + 5, find f(-6).

Mathematics

1 answer:

balandron [24]3 years ago

5 0

The answer is 23

you plug -6 into x on the other side of the problem then do the math, two negatives make a positive

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Can I get help with this

Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 = -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0

3 years ago

I do not understand this assignment at all..I've been stuck on it for a long time and it's due very soon.

Alik [6]

$\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03$

Answer:

State income tax: $6.65\%$

Step-by-step explanation:

Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.

The chart given for state income tax is broken into two categories:

$21,400-$80,650 => 6.45%

$80,651-$215,400 => 6.65%

Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.

The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:

$115,820\cdot 0.0665=\boxed{\$7,702.03}$

7 0

2 years ago

PLEASE HELP MI AMOR ILL LOVE YOU FORVER I SWEAR

NemiM [27]

Answer:

x = 8

z = 65

Step-by-step explanation:

Through various rules, we are able to assert: (6x + 67)° = 115°.

Now, we want to solve for x:

6x + 67 = 115

6x = 48

x = 8

We know that z° is equal to the complement of (6x + 67)°, and together these must sum to 180°. Therefore, we can simply take 180° - 115° to find that z° = 65°.

8 0

2 years ago

A deli sells meat and cheese by the pound. The expression 7.99m + 5.99c represents the total cost of m pounds of mest and c poun

LenaWriter [7]

Statement A is correct.

7.99m is the unit rate for how much you will pay for each pound of meat.

5.99c is the unit rate for how much you will pay for each pound of cheese.

6 0

3 years ago

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Jayde is wrapping a cube shape present that is 14 inches tall. How much wrapping paper will be needed to wrap the whole present?

gtnhenbr [62]

Answer:

1176in^2

Step-by-step explanation:

find the surface area of the cube

(14*14)6=1176 inches cubed

14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are

7 0

3 years ago

Read 2 more answers