If the graph of a function f(x) was translated down 6 units to create a new function g(x), you would add 6 to f(x)'s y-intercept to find the equation for g(x).

options:
True
False

Answer:

2/3

Step-by-step explanation:

1. The easiest way to find the slope of the line is by converting this equation into slope-intercept form (y = mx + b).

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Add 3 to both sides.

Step 3: Divide both sides by 3.

3. Since 2/3 is in place of m, the slope, the slope of the line is 2/3.

Answer: Percentage decrease = 20% × 7,720

New value = 7,720 - Percentage decreaseNew value =

7,720 - Percentage decrease =

7,720 - (20% × 7,720) =

7,720 - 20% × 7,720 =

(1 - 20%) × 7,720 =

(100% - 20%) × 7,720 =

80% × 7,720 =

80 ÷ 100 × 7,720 =

80 × 7,720 ÷ 100 =

617,600 ÷ 100 =

6,176

New value - 7,720 =

6,176 - 7,720 =

- 1,544

Step-by-step explanation:

Answer:

1. y = 2

2. y = -3 + 5z, zeR

3. x = ^-10/3 + 3/2^y ^-2/3^z, yeR, zeR

Step-by-step explanation:

If you would like me to explain, comment on this answer!

Answer:

Slope of the parrelel line: -2/3x

Slope of the perpendicular line: 3/2x

Step-by-step explanation:

Lets first put this into slope intercept form:

y = mx + b

9y = -6x - 1

y = -2/3x = 1/9

So our slope is -2/3x

If we have a line parrelel to this, it means it has the exact same slope, but a different b value.

So the slope of this parellel line would also be -2/3x

Next we need to find the slope of the perpendicular line.

This is the exact opposite of our slope.

To find this, lets first understand our slope.

Our slope is the change in y over the change in x:

Δy/Δx

A perpendicular line is going to be the flipped, and negative of this.

You can think of a perpendicular line being:

-Δx/Δy

Since our slope is -2/3x

Our perpendicular line would be 3/2x

So our answer for the second question is 3/2x

Useful things to remember:

Hope this helps!

Answer:

it takes me 14 minutes to go to class

Answer:

Michaels' proof is wrong. His second point says that ∠AKG ≈ ∠AKL with the Vertical Angles Theorem as his justification, which is incorrect. Angles AKG and AKL are not vertically opposing angles, but they form a linear pair, so in this case, Daniels's proof is correct. 

Step-by-step explanation:

Please correct me if I'm wrong :)

Answer:

Step-by-step explanation:

It will take 48 minutes to make 140 airplanes. 35 × 4 = 140 airplanes. So take 12 × 4 = 48 minutes.

Answer:

The maximum value of g(x) is 3 greater than the maximum value of f(x).

Step-by-step explanation:

The function modeled by the equation, f(x) = - (x - 3)² + 9, represents a quadratic function in vertex form.  

The vertex form is given by: f(x) = a(x - h)² + k, where:

⇒ The value of a is the vertical compression or stretch factor, which essentially determines the width of a parabola. The value of a also determines where the graph of a parabola opens:

⇒ (h, k) = Vertex of the parabola.

Given these definitions, we can assume the following information regarding  the quadratic function,  f(x) = - (x - 3)² + 9:

The vertex form of an absolute value function is given by: g(x) = a|x - h| + k, where:  

⇒ The value of a determines the following:

⇒ (h, k) = Vertex of the absolute value function.

⇒ x = h represents the axis of symmetry.

The axis of symmetry is the imaginary point on the graph that intersects through the h-coordinate of the vertex, thereby dividing the graph into two symmetrical parts.

Observing the given table of values, especially how the y-values increasingly peak towards g(x) = 12, then decreases back down starting at g(x) = 8.  It is important to take notice of the y-values, as it represents the resulting output provided by the given input (x-value).  

The increasing, followed by the decreasing y-values imply that the graph must be facing downward. Since we specified that the maximum point provided by g(x) = 12, then it means that it is the vertex occurs at point, (1, 12).

Therefore, the maximum value of g(x) is 3 greater than the maximum value of f(x).  

Answer:

1014

Step-by-step explanation:

Remember this formula to find certain terms in arithmetic sequences:

[tex]t_{n} =t_{1} +(n-1)d[/tex]

n = term number

[tex]t_{1}[/tex] = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]

Answer:

2

Step-by-step explanation:

when the value is below 2

a situation in which no identifiable relationship exists between the values of the error term.

The value of Durbin–Watsons statistic indicates no autocorrelation is present is 2.

The output of a regression model is tested for autocorrelation using the Durbin-Watson statistic. Zero autocorrelation is indicated by a value of 2.0 in the DW statistic, which has a range of zero to four. Positive autocorrelation is indicated by values below 2.0, and negative autocorrelation is shown by values over 2.0.

As, The range of the Durbin-Watson statistic is 0–4. There is no first-order autocorrelation when the number is 2 or close to 2.

The range of 1.50 to 2.50 is suitable.

A number between 0 and 4 will always be assigned to the Durbin-Watson statistic.

A value of 2.0 means that no autocorrelation in the sample was found. Positive autocorrelation is shown by values between 0 and less than 2 whereas negative autocorrelation is indicated by values between 2 and 4.

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Answer:

1)y=2x+7

2) unsure what the question is due to blur

3)y=3/4x-2

4)y=-2x

Answer:

Step-by-step explanation:

1) (1,9) ; slope = 2

Point slope form:

y - y₁ = m(x - x₁)

y - 9 = 2(x - 1)

Slope intercept form:

y - 9 = 2x - 2

    y = 2x - 2 + 9

 y = 2x + 7

3) (-4 , -5)  ; slope = 3/5

Point slope form:

y - y₁ = m(x - x₁)

[tex]y - [-5] = \dfrac{3}{4}(x - [-4])\\\\\\y + 5 = \dfrac{3}{4}(x + 4)[/tex]

Slope intercept form:

[tex]y + 5 = \dfrac{3}{4}x + 4*\dfrac{3}{4}\\\\y + 5 =\dfrac{3}{4}x + 3\\\\y = \dfrac{3}{4}x +3 -5 \\\\\\y = \dfrac{3}{4}x - 2[/tex]

Answer:

Yes.

Step-by-step explanation:

Because

6*4 =24

and 4*0 = 0,

24+0=24

have a nice day!!!

Answer:

x = 7

Step-by-step explanation:

If u // v, then

19x - 3 = 130   {Corresponding angles are congruent}

19x = 130 + 3

19x = 133

x = 133/19

x = 7

Answer:

1.5x+2y=total cost

Step-by-step explanation:

Step-by-step explanation:

3(10000) + 1700 - 20

30000 + 1700 - 20

31680

Step-by-step explanation:

hrer do it this way

it is correct

Answer:

d

Step-by-step explanation:

do 6 times 6

Answer:

The leading coefficient of the function shown is negative and the function shown has a maximum vertex point.

Step-by-step explanation:

The leading coefficient is the term with the highest degree in a polynomial.

For example in 4x² + 3x + 1 the leading coefficient would be 4x² as 4x² is the term with the highest degree.

The leading coefficient tells us whether the equation, when graphed, will rise or fall.

If the leading coefficient is negative then the equation will fall when graphed, in contrast if the leading coefficient is positive the equation will rise when graphed.

Looking at the graph, it appears that the equation is falling, meaning that the leading coefficient must be negative.

If the equation falls then it has a maximum point, if it rises then it has a minimum point.

Because the equation shown falls it will have a maximum point.

Answer:

it's D. 265F

Step-by-step explanation:

subtract 136 by -129 and you get 265

(-9,6) and (-3,2) help pls

Answer : -12.8

Answer:

x = 7

Step-by-step explanation:

The sum of exterior angles in a polygon is 360°.

( 11x - 5 )° + ( 4x + 29 )° + ( 6x + 13 )° + ( 9x - 15 )° + 67° + 61° = 360°

30x + 22 + 128 = 360

30x = 210

x = 7

Answer:

Step-by-step explanation:

Each dog has 4 legs, 2 ears and 1 tail, total of 7.

Number of dogs:

Answer:

265

Step-by-step explanation:

you only need to do is simplify the expression.

Answer:

A

Step-by-step explanation:

The Explication 0 (7+4i)+(7-4i) = 14

The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now, If we add a real number to zero or add zero to a real number, then we get the same real number back.

Hence, The number zero is known as the identity element, or the additive identity.

For example: a + 0 = a

Hence, we can see that;

⇒ (7 + 4i) + 0 = 7 + 4i

Since, 0 is the additive identity here.

Thus, The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

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(first base + second base)x height ÷ 2

Answer:

The second table with all values of x = -5 does not represent a function. what the function and input value of x will return one and only one value for y. and this table when you input a value for x of -5 you get three different values therefore this table does not represent a function

Answer:

Step-by-step explanation:

The table

x y

-5 1

-5 -2

-5 -5

does not represent a function, because for the same input (-5) there are 3 different outputs.

Compare this to the table

 x y

-5 1

-3 -2

-1 -5

in which all the inputs (x values) are unique (one of a kind) and each input has exactly one output (y value) connected to it.

Answer:

m∠O = 80°

Step-by-step explanation:

m∠O = 4x - 20

m∠Q = 3x + 5

m∠O and m∠Q are congruent

4x - 20 = 3x + 5

Solve for x = 25

Plug back in

m∠O = 4(25) - 20

m∠O = 100 - 20

m∠O = 80°