Adrian said that g(x) = |x + 4| is translated up 4 units from the parent function f(x) = |x|. Do you agree or disagree? Why?​

Answer: I believe the answer is 3.3 x 10^8

a) The equation of line k is:

[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]

b) The equation of line j is:

[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which:

Item a:

[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]

In which [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of k and m.

[tex]m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}[/tex]

[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]

[tex]-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}[/tex]

[tex]m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2[/tex]

[tex]m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}[/tex]

[tex]\frac{167m_2}{80} = \frac{-202}{80}[/tex]

[tex]m_2 = -\frac{202}{167}[/tex]

Thus:

[tex]y = -\frac{202}{167}x + b[/tex]

It goes through point (-2,6), that is, when [tex]x = -2, y = 6[/tex], and this is used to find b.

[tex]y = -\frac{202}{167}x + b[/tex]

[tex]6 = -\frac{202}{167}(-2) + b[/tex]

[tex]b = 6 - \frac{404}{167}[/tex]

[tex]b = \frac{6(167)-404}{167}[/tex]

[tex]b = \frac{598}{167}[/tex]

Thus. the equation of line k, in slope-intercept formula, is:

[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]

Item b:

Thus, the slope of line j is:

[tex]-\frac{202}{167}m = -1[/tex]

[tex]m = \frac{167}{202}[/tex]

Then

[tex]y = \frac{167}{202}x + b[/tex]

Also goes through point (-2,6), thus:

[tex]6 = \frac{167}{202}(-2) + b[/tex]

[tex]b = \frac{(2)167 + 202(6)}{202}[/tex]

[tex]b = \frac{1546}{202}[/tex]

The equation of line j is:

[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]

A similar problem is given at https://brainly.com/question/16302622

Answer:

[tex] {y}^{2} - 14y + 45 \\ \\ {y}^{2} - 9 y + 5y - 45 \\ \\ y(y - 9) - 5(y - 9) \\ \\ (y - 5)(y - 9)[/tex]

Here's the solution :

[tex] {y}^{2} - 4y+ 45[/tex]

[tex] {y}^{2} - 9y - 5y + 45[/tex]

[tex]y(y - 9) - 5(y - 9)[/tex]

[tex](y - 5)(y - 9)[/tex]

therefore, the roots are 5 and 9

Answer:

Step-by-step explanation:

12

Answer:

x/5 +1 = 21

Step-by-step explanation:

x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21

Answer:

Tina ate 1/4 cornbread of the whole pan.

Step-by-step explanation:

If she has 1/2 of a pan, and ate 1/2 of that, it's 1/2*1/2, which equals 1/4! Try to imagine a pan of cornbread in your head ahaha

The equation should be: 1/2*1/2=1/4

Hopes this helps!

Answer:

It is 8.5 meters tall

Step-by-step explanation:

28.05 / 3.3 = 8.5

Answer:

C

Step-by-step explanation:

since L and M are both perpendicular to the same transversal they are parrallel

Answer:

c

Step-by-step explanation:

edge 2022

Answer:

-7q and 9q, 2 and 6

Step-by-step explanation:

they are like each other

Answer: Terms that have identical variable parts (same variable(s) and same exponent(s)). So in this case the like terms are -7q and 9q AND 2 and 6 are like terms *REMEMBER: constant (which are numbers with NO variables can also be like terms)

but to solve this:

first group the like terms so:

(-7q+9q) that gives us 2q

(2+6) that gives us 8

*In your FINAL answer ALWAYS put the number(s) with variables first so the final answer is 2q+8

Answer:

If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.

Answer:

a. 1 1/2 (or 3/2)

b. 2/3

c. 1

d. 1

Step-by-step explanation:

Part A: (1,1) (7,5)

To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).

Let's plug in the numbers for part a:

m=(7-1)/(5-1)

Let's then solve the problems inside the parentheses:

m=6/4

And finally, we simplify:

m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)

For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.

Part B: (1,1) (5,7)

m=(5-1)/(7-1)

m=(4/6)

m=2/3

Part C: (2,5) (-1,2)

m=(-1-2)/(2-5)

m=(-3/-3)

m=1

Part D: (2,5) (-7,-4)

m=(-7-2)/(-4-5)

m=(-9/-9)

m=1

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 groups of 4, or 4x4=16.

16 in eight groups, or 16/8 is 2.

Answer:

here is your answer

so the lengjt value of. n = 60

Answer:

hope you like my answer its -4

Answer:

X=60°

Step-by-step explanation:

A1=100° vertically opposite angles

100°=2x-20°

120°=2x

X=60°

Answer:

2.31964e-7

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

Answer:

slope: zero/none

equation: y = -2

Step by Step:

1) find the slope - change in y / change in x

-2+2/9+3

0/12

0 <- zero slope = no slope

2) plug in and solve for y-intercept

( -3, -2 )

-2=(0*-3)+b

b=-2

because the slope was zero, we know that it's a horizontal line

therefore the only equation we can get from this is a y= equation

3) plug in values to get equation

y = -2

slope is zero

Answer:

thank you so much

Step-by-step explanation:

Answer:

Lucky for you i'm good at algebra:)

Step-by-step explanation:

Slope:  -2/3

Y-intercepts: (0,7)

Answer:

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2/3*x+7)=0

Step 1:

Simplify    2/3

Equation at the end of step 1:

y -  ((0 -(2/3• x)) +  7)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Rewrite the whole as a fraction using  3  as the denominator :

7 = 7/1  =  7 · 3 /3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2x+7·3/3 = 21-2x/3

Equation at the end of step 2:

y-(21-2x)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y=y/1=y·3/3

Adding fractions that have a common denominator :

 Adding up the two equivalent fractions

y • 3 - ((21-2x))     3y + 2x - 21

—————————————————  =  ————————————

        3                  3      

Equation at the end of step

3

:

 3y + 2x - 21

 ————————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+2x-21

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+2x-21  = 0

Equation of a Straight Line

4.2     Solve   3y+2x-21  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-21  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 21/3  =  7  

Calculate the X-Intercept :

When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

 x-intercept = 21/2  = 10.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667  

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Answer:

might be wrong but

−

3

2

+

9

0

1

5

Answer:

-32a/15 +6

Step-by-step explanation:

it does not change when you simplified

so I don't know the answer but need to answer a question

Answer:

15÷1 .50=10

Because you are already paying a flat rate of $15. You make 1.50 off of each flower. So you have to sell over 10 flowers to make a profit.

At least 11 flowers should be sold to make a profit.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.

Given:

Total cost for the buying flower = 1.5 * number flowers  + 15

For n=10                                       = 1.5 * 10 + 15

                                                     = 30

By selling 10 flowers                    =10 * 3

                                                     = $30

For n =11                                        = 1.5 * 11 + 15

                                                      = 31.5

By selling 11 flowers                    = 11 * 3

                                                     = 33

Therefore, At least 11 flowers should be sold to make a profit.

Learn more about equation here:

brainly.com/question/10413253

#SPJ5

Answer:

65

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

Answer:

look at the photo..............

Answer:

x = 51°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for x

x = 180° - (90 + 39)° = 180° - 129° = 59°

Answer:

1/8362

Step-by-step explanation:

Student picked at random/Number of students