The graphs of 3x + 9y = 15 and y = mx – 4
are parallel lines. What is the value of m?

Answer:

a. 3.4m

b. 12.2m

Step-by-step explanation:

SOH CAH TOA

[tex]Sin QPS=\frac{Opposite}{hypotenuse}[/tex]

sin 15° = [tex]\frac{QS}{PQ}[/tex]

QS= sin 15° * PQ

QS = 0.2588 * 12.6 = 3.36088 ≈ 3.4m

a. The length of QS = 3.4m

b. [tex]cos QPS=\frac{Adjacent}{Hypotenuse}[/tex]

Cos 15° = [tex]\frac{PS}{PQ}[/tex]

PS = Cos 15° * PQ

PS = O.9659 * 12.6 = 12. 17034 ≈ 12.2m

The length of PS = 12.2m

Answer:

Inequality: 30+12x < 100

x ≈ 5 months

Step-by-step explanation:

To solve, first create the inequality. In this problem, 30 dollars is the flat fee for joining the gym and thus a constant. Additionally, 12 is the monthly payment and thus the coefficient for a variable because it changes with the number of months. Finally, 100 is the most that can be spent (the max), so it should be on the other side of the inequality and the sign should be less than or equal to 100.

This makes the inequality: 30+12x < 100

To find the number of months solve the inequality for x.

So, the inequality equals x<5.8. However, the question asks for the number of full months. And, no more than 100 dollars can be spent. So, while you would normally round up. In this case, you must round down to 5 months.

Answer: 8[tex]x^{6}[/tex]  , A

Step-by-step explanation:

1) 2 x 4 = 8

2)  Add the exponents:  (X^3)x^3) = x^6

Add the exponents (with the same base) when multiplying.

This should be right , if any doubt please comment

Answer:

3.2 brainliets

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3n + 2 = 23

Bringing like terms on one side

-3n = 23 - 2

-3n = 21

n = 21/ - 3

n = - 7

Answer:

Step-by-step explanation:

-3n + 2 = 23

Bringing like terms on one side

-3n = 23 - 2

-3n = 21

n = 21/ - 3

n = - 7

Answer:

a = 3

Step-by-step explanation:

9a - 5 = 22

9a = 27

a = 27/9

a = 3

Answer:

a=3

Step-by-step explanation:

Answer:

ABC

Step-by-step explanation:

i think this is true, If it is wrong I will make it right

Step-by-step explanation:

f(x) = ³√x -15

y = ³√x - 15

Finding inverse,

x = ³√y - 15

x³ = y -15

y = x³ + 15

f-¹(x) = x³ + 15

Answer:

A. A translation 4 units to the left and 3 units down.

Step-by-step explanation:

Answer: 15!

Step-by-step explanation:

You do 1/2 x (5=base) x (6= height)

Answer:

He pays $8.00 regardless and $1.40 for each ride. When we see for each, we typically want to multiply.

A. $8.00 + $1.40 * r

If his parents gave him $26.00, then that is the most Kolby can spend.

$8 + $1.40 * r = $26

Subtracting 8 from both sides:

$1.40 * r = $18

Dividing both sides by 1.40:

r = 12.86

B. Since you can't ride part of a ride, Kolby can only ride 12 rides.

Step-by-step explanation:

Answer:

An expression to represent this would be 1.40x+8.00= R

1.40x+8=26

       -8   -8

1.40x=18

/1.40    /1.40

x=11 total rides

If you had $26.00 you would first spend $8.00 on the entry leaving you with $18.00. Then you would divide the $18 by $1.40 for each ride to get 12.8... It doesn't make sense to go on a fraction of a ride so you just round down to 11 rides

Step-by-step explanation:

Answer:

6 spaces downwards on the y-axis

Step-by-step explanation:

As shown from the picture below, the graph  y=5x^2+3 must be subtracted by 6 or dilated 6 spaces downwards on the y-axis to obtain the graph  y=5x^2-3

Hope this helps

Answer:

Step-by-step explanation:

0056 because 1% is 72 so you know it’s going to have to be less then 72. So to get your percent you divide 40 by 7200 so 40/7200. This will get you .00555556 which I rounded to .0056

A = 1 and B = 5

3a + 11 = 14 || 3a = 3 || a = 1

7b - 13 = 22 || 7b = 35 || b = 5

Answer:

A= 1

B = 5

Step-by-step explanation:

3a + 11 = 14

A = 1

7b - 13 = 22

7b = 35

B = 5

Answer:

THAT QUESTION WILL BE ANSWERED THIS SUNDAY NIGHT!

Answer:

0.91

Step-by-step explanation:

Answer:

0.913

Step-by-step explanation:

Answer:

- 2 ≤ x ≤ 0

Step-by-step explanation:

The constant part of the graph is the section between (- 2, 1 ) and (0, 1 )

where the graph is horizontal and parallel to the x- axis, that is the y value is constant at 1

Answer:

eat it can only eat the things around it

Step-by-step explanation:

a cow with no legs has a hard life due to their lack of legs they cant walk or run meaning the cant get water and they can't run away from Predator's

Answer: 1 2/3

Step-by-step explanation:

Answer:

14x+3=8x+3

14x+3 -3 = 8x+3 -3

Cancels out the 3

14x = 8x

14x - 8x = 8x -8x

Cancels out the 8x

14x = 0

x = 0

Step-by-step explanation:

Andre should have collected the like terms in order to have all the variables x on one side before taking the difference.

Given the inequality expression solved by andre expressed as:

14x + 3 ≤ 8x + 3

Simplify to have:

14x - 8x ≤ 3-3

6x ≤ 0

x ≤ 0

Hence andre should have collected the like terms in order to have all the variables x on one side before taking the difference.

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

x4 + x2 + 1 = 6x + 1

Answer:

Solution

Given,

x4+x2+1

Step-by-step explanation:

Adding and subtracting x2 to the given equation /

=x4+ x2+ 1+ x2- x2

=x4+2x2+1-x2

=(x2+1)2 -x2 {.:a2+2ab+b2=(a+b)2}

=(x2+1+x) (x2+1-x) { .:a2-b2=(a+b) (a-b) }

hope it helps

Ty good day

#urJ.r...~

Answer:

Step-by-step explanation:

(f*g)(x) = (-5x² + 2x + 7) (x +1)

          = x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)

          = x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7

        = -5x³ + 2x² + 7x - 5x² + 2x + 7

        = - 5x³ + 2x² -5x²   + 7x + 2x +7   {Combine like terms}

       =  -5x³ - 3x² + 9x + 7

4) (f*g)(x) = (x² + 2x + 4)(x - 2)

                = x*(x² + 2x + 4) - 2*(x² + 2x + 4)

                = x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4

                = x³ + 2x² + 4x  -2x² -4x - 8

                = x³ - 8

[tex]2) Speed=\dfrac{distance}{time}\\\\\\= \dfrac{d(h)}{t(h)}\\\\= \dfrac{2\sqrt{h}}{3\sqrt{4h}}=\dfrac{2*\sqrt{h}}{3*2\sqrt{h}}\\\\\\=\dfrac{1}{3}[/tex]

[tex]1)d(h) = \sqrt{16h^{4}}=\sqrt{2*2*2*2*h*h*h*h}=2*2*h*h=4h^{2}\\\\\\t(h) = 3h^{4}-3h^{3}-5h^{2}= h^{2}(3h^{2}-3h - 5))\\\\Speed=\dfrac{4h^{2}}{h^{2}(3h^{2}-3h-5)}\\\\=\dfrac{4}{3h^{2}-3h-5}[/tex]

Answer:look close because that is the question

Step-by-step explanation:

Answer:

I'll try to help gimme a min

Here is ur answer

- BRAINLIEST answerer

5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)know i need points

Step-by-step explanation:

hi

Answer:

42.195 + 42.195 OR 42.195 X 2

= 84.39

Therefore, Joel ran 84.39 km altogether in two races

Hope it helps ;)

Please mark as brainliest!

Answer:

IJM and NMJ

Step-by-step explanation:

They're on alternate sides and on the interior of the complex.

Answer:

<IJM and <NMJ

Step-by-step explanation:

Alternate interior angles are angles which are inside the parallel lines and on alternate sides of the third line.

In this case they correspond to <IJM and <NMJ