Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).

Answer:

option A is correct

Step-by-step explanation:

mod's has a simple function -

if |x| is given it simply means that the value of "X" can't be negative

Option A is correct,  |–3| = 3 and –|–4| = –4 is true statement.

A number system is defined as a system of writing to express numbers.

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

|-x|=x

For option A

|–3| = 3 and –|–4| = –4 is true

For option B

|–3| = 3 and –|4| = 4 is not true because –|4|  is -4.

For option C

–|3| = 3 and |4| = 4 is not true because –|3| is -3

For option D

|–3| = 3 and |–4| = –4 is not true because |-4| is 4

Hence, option A is correct,  |–3| = 3 and –|–4| = –4 is true statement.

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Answer:

[tex]\theta = 148.8[/tex]

Step-by-step explanation:

Given

[tex]R_x = -419[/tex]

[tex]R_y = -253[/tex]

[tex]R = 490[/tex]

Required

Determine the value of [tex]\theta[/tex]

Since, [tex]\theta[/tex] is counter clockwise from x axis;

The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is

[tex]cos\theta = \frac{R_x}{R}[/tex]

Substitute values for Rx and R

[tex]cos\theta = \frac{-419}{490}[/tex]

[tex]cos\theta = -0.8551[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(-0.8551)[/tex]

[tex]\theta = 148.770784108[/tex]

[tex]\theta = 148.8[/tex] (Approximated)

Answer:

[tex]2^{2} x 3^{2}[/tex]

Step-by-step explanation:

Answer:

2^2*3^2

Step-by-step explanation:

You can break down 36 through ways down to its prime factors through multiple ways like a facor tree

                   36

                4       9

             2    2  3   3

Since two and three cannot be broken down anymore, they are prime factors. Also, because you are left with two 2s and two 3s, you would mark that as squared when giving an answer.

Answer:

a = -6 - 6x + 3x^2

Step-by-step explanation:

Answer:

39.5 astronomical units

Answer: 11

Step-by-step explanation: 7+1+1+1+1 = 11

                                            7   8 9 10 11

Answer:

  (-1, 2)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates:

  M = (A +B)/2

  M = ((8, 0) +(-10, 4))/2 = (8-10, 0+4)/2 = (-1, 2)

The midpoint is (-1, 2).

Answer:

400

Step-by-step explanation:

Answer:

y value

Step-by-step explanation:

bc it is xiydid5is5is58w

Answer:

8307 dhdhdhsjs

Step-by-step explanation:

vahahahwhahehe

Answer: 8,307$

Step-by-step explanation:

279$ x 15 = 4185$

229$ x 18 = 4122$

4185$ + 4122$ = 8,307$

Answer:

c (1/2)(5h – 4)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height of the triangle = h

Base 4 inches less than 5 times wider than the height.

Base of the triangle = 5h - 4

Area of a triangle = 1/2 × base × height

= (1/2)(5h-4)(h)

The algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height is (1/2)(5h-4)(h)

Option C is the correct answer

Answer:

c

Step-by-step explanation:

i had this same question a while ago

Point slope form: y - y1 = m(x - x1)

y1 = y-point

m = slope

x1 = x-point

Using what we wrote above, we can solve the question.

y1 = -2

m = -2/3

x1 = 4

Therefore, the point is (4, -2) and the slope is -2/3

Best of Luck!

Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]

First, simplify √8. This is the same as:

[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

Therefore, our equation is now:

[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]

Combine like terms on the left:

[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]

The square root of something is the same as taking that number to the one-half power. Thus:

[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]

Rewrite:

[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]

And we're done!

Answer: 5,400 units

Step-by-step explanation:

if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units

Answer:

velocity of the car is 16.667

Step-by-step explanation:

first

changing si unit of both km and hrs into meter and second

then

v= m/s

v=240000/14400

v= 16.667m/s

Answer:

answer

Step-by-step explanation:

Velocity equals distance divided by time.

240 km divided by 4 h

Velocity equals 60 km/h W

Answer:

10 miles per hour

Step-by-step explanation:

1/12 miles

------------------

1/2 minute

1/12 ÷1/2

Copy dot flip

1/12 * 2/1

1/6 miles per minute

We need to convert minutes to hours

1 hours = 60 minutes

1/6 miles / minutes * 60 minutes/ hour

= 60/6 miles per hour

10 miles / hour

Answer:

k = 16

Step-by-step explanation:

To solve this we must isolate k.  Let's first simplify this equation by subtracting   8 from both sides:

k/4 = 4

Next, remove the fraction by multiplying both sides by 4:

k = 16

J = 0 because it is the midpoint of K and P.

Since we know that K is at -5 and P is at 5, KP = 10

Both KP and JQ are equal to 10, therefore, they are equal.

Answer:

14. j=0

15. KP=10

16. yes

Step-by-step explanation:

(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)

14.:

If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because

Q-P=5 and 5*2= J

So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.

15.:

Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.

16.:

Since KP = 10 and JQ = 10, then yes, they are the same.

Answer:

the - are the x or y

Step-by-step explanation:

☽------------❀-------------☾

Hi there!

~

Let's simplify step-by-step.

[tex]6 + 13mn + 7mn[/tex]

Combine Like Terms:

[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

-4 - 7i

Step-by-step explanation:

If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.

Assuming the coefficients of the quadratic function are real, then the other solution is

-4 - 7i

Answer:

False

Step-by-step explanation:

The principal square root of most numbers is an irrational number with an infinite decimal expansion.

Not every square root is irrational but the statement says EVERY so false.

Hope I helped!

Please label mine as brainliest!

Answer:

False

There can be irrational numbers too. Complex, even. Also, Imaginary.

Answer: D) [tex]x \ge -2[/tex]

==================================================

Explanation:

The domain is the set of all allowed x inputs.

The furthest to the left the curve goes is x = -2. So this is the smallest x value allowed as an input.

The largest input has no restriction since it grows forever toward the right (due to the arrow).

So we say that x can be -2 or larger meaning [tex]x \ge -2[/tex] is the domain.

-----------------

Extra info:

In interval notation, the domain would be [tex][-2, \infty)[/tex] to indicate the interval from -2 to positive infinity. The square bracket says "include the endpoint". The curved parenthesis says "exclude the endpoint". We can never reach infinity, so we cannot possibly include it as an endpoint, so we always use parenthesis for either infinity.

Answer:

x= 41

Step-by-step explanation:

3x-43= 80 is the equation since they are alternate interior angles.

Step 1- Add 43 to both sides.

3x-43= 80

  +43 +43

Step 2- Divide both sides by 3.

3x= 123

3      3

x= 41

The given angles are the alternate interior angles formed by a common

transversal to two parallel lines.

The value of x for which line l is parallel to line m is c. 41°.

Reasons:

When line l is parallel to line line m, we have;

The alternate interior angles will be equal

Therefore;

(3·x - 43)° = 80°

Which gives;

[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]

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Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]

He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...

100 meters = 9.63 seconds

10.384 meters = 1 second (divide both sides by 9.63)

37382.4 meters = 3600 seconds (multiply both sides by 3600)

37382.4 meters = 1 hour

His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr