The graphs below have the same shape. What is the equation of the blue graph ?

Answer:

y = 3x + 12

Step-by-step explanation:

Slope of y = 3x + 5 is 3

Line parallel will have same slope 3

Line intersects point at (-2, 6)

Replace into y = mx + b to find

6 = 3(-2) + b

6 = -6 + b

12 = b

Equation of line:

y = 3x + 12

Answer:

y = 3x + 12

Step-by-step explanation:

Lines parallel to each other will have the same slope but different y-intercepts. This means that the equation of this parallel line has a slope of 3.

y = 3x + b

Now we need to find the y-intercept by plugging in the point (-2, 6) into the equation. (Replace x with -2 and y with 6.) Then we solve it.

y = 3x + b

6 = 3(-2) + b

6 = -6 + b

+6 +6

12 = b

The y- intercept is 12. So the equation of the parallel line is y = 3x + 12

Answer:

A. y=x and y=x+2

Step-by-step explanation:

A.

y=x and y=x+2

The equations both match the slope and intercept of the graphed equations.

Can I have the pancakes instead of the donkey?

Answer:

6f = 24

f = 4

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark[/tex]

~[tex]\large\textsf{Good luck on your assignment and your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

c

Step-by-step explanation:

the value of x can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

The triangle is an isosceles triangle

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7

7²  + 7²

49 + 49

= 98

√98 = 9.899 = 7√2

Answer:

0.33

Step-by-step explanation:

1/3 can also be written as 1 ÷ 3 which equals 0.33

Answer:

0.333333333

Step-by-step explanation

Answer:

ans: centre of circle is ( -4 , 6 )

and radius is 3 unit

Answer:

m = w - t

£108

Step-by-step explanation:

m = Money Billy has to spend per week :

m = wage, w - tax, t

Hence,

m = w - t

Given;

Wage = £150 ; tax = £42

m = £150 - £42

m = £108

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

Answer:

520 days

Step-by-step explanation:

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

5.2 million = 5,200,000

10 thousand = 10,000

5,200,000 ÷ 10,000 =

= 520 days

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

Hope this helps.

Answer:

520 days

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Answer:

that's all~~~~~~~~~~~~~~~~~~

Answer:

3,493 digits

Step-by-step explanation:

Total pages of the book = 1,150

Page 1 - 9 = 9 digits

Page 10 - 99

= 2 * 90 pages

= 180 digits

Page 100 - 999

= 3 × 900 pages

= 2,700 digits

Page 1000 - 1,150

= 4 × 151 pages

= 604 digits

Total digits required in numbering 1,150 pages = 9 + 180 + 2,700 + 604

= 3,493 digits

Total digits required in numbering 1,150 pages = 3,493 digits

Answer:

Step-by-step explanation:

Answer:

The amount paid as VAT is $ 12800.

Step-by-step explanation:

Sales = $ 80,000

VAT = 16 %

The amount of VAT paid to the government is

= 16 % of $ 80,000

= 0.16 x $ 80,000

= $ 12800

The amount paid as VAT is $ 12800.

I have attached some answers in the photos below hope you find them useful

Answer:

0 and 1

Step-by-step explanation:

Given :

[tex]y= 2x-3\\y=2x^{2} -3[/tex]

Now equate the both equation :

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

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

x-[tex]x^{2}[/tex]=0

x(1-x)=0

x=0

1-x=0

x=1

Therefore, x=0,1

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

Step-by-step explanation:

Answer:

[tex]m\angle RTS=34^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of an Isosceles Triangle are equal. Therefore, [tex]m\angle RTS=m\angle TRS[/tex].

Since the sum of the interior angles of a triangle is 180 degrees, we have:

[tex]m\angle RTS +m\angle TRS+112=180,\\2\cdot m\angle RTS+112=180,\\2\cdot m\angle RTS=68,\\m\angle RTS=\boxed{34^{\circ}}[/tex]

Answer:

The answer is "numeric".

Step-by-step explanation:

The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.

Answer:

the third one

Step-by-step explanation:   6  22  22  24

the quotient is 86.6666666   the repeating 6 is sometimes written with a bar above the .6  like

86.6   except the bar is on top of the second 6

Answer:

x^2 - 10x + 24

Step-by-step explanation:

(x - 4)(x - 6)

x(x - 6) -4(x - 6)

x^2 -6x -4x + 24

x^2 - 10x + 24

Answer:

[tex] {x}^{2} - 10x + 24[/tex]

Step-by-step explanation:

[tex](x - 4)(x - 6) \\ = x(x - 6) - 4(x - 6) \\ = {x}^{2} - 6x - 4x + 24 \\ = {x}^{2} - 10x + 24 \\ [/tex]

Step-by-step explanation:

espero que te ayude amigo

Answer:

x = 14000

Step-by-step explanation:

Function representing the cost to the company,

C(x) = -27x² + 51000x + 20433

Function defining the revenue generated,

R(x) = -36x²+ 303000x

Since, Profit to the company = Revenue - Cost

                                                = R(x) - C(x)

P(x) = -36x² + 303000x - (-27x² + 51000x + 20433)

      = -36x² + 27x² + 303000x - 51000x - 20433

P(x) = -9x² + 252000x - 20433

To maximize the profit,

P'(x) = -18x + 252000 [Derivative of the function P(x)]

P'(x) = 0

-18x + 252000 = 0

18x = 252000

x = 14000

Therefore, for the maximum profit company has to produce and sell 14000 phones.

Answer:

kojo = x + 15

kofi = $182.50

kojo = $197.50

Step-by-step explanation:

kofi = x  

kojo = x + 15 (since Kojo h as 15 cedis more than Kofi)

380= x + 15 + x

2x + 15 = 380

combine like terms

2x = 380 - 15

2x = 365

x = 182.50

Kojo = 15 + 182.50 = $197.50

Answer:

the rules regarding the vertex of a quadratic function are:

the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.

Hope This Helps!!!

Answer:

Option (2)

Step-by-step explanation:

All angles are positive when measured counterclockwise from the x-axis.

Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.

But the angle is -240°.

That means angle is being measured clockwise from the x-axis.

Therefore, terminal side of the of the angle will be in the 2nd quadrant.

Option (2) will be the correct option.

Answer:

Sam is incorrect.

Step-by-step explanation:

Using Pythagorean Theorem, we can find the length of diagonal SQ as 13.4 (6^2 + 12^2 = c^2, 36 + 144 = c^2, sqrt(180) = c, c is approx 13.4). We can do the same for diagonal OM (6^2 + 6^2 = c^2, 36 + 36 = c^2, 72 = c^2, sqrt(72) = c, c is approx 8.5). Sam is therefore incorrect because 13.4 is not double of 8.5.

Answer:

Sam is incorrect.

Step-by-step explanation:

Sam is incorrect. By using the Pythagorean theorem, we can find out what each diagonal is equal to.

Starting with diagonal SQ...

6^2 + 12^2 

= 36 + 144

= 180

Square root of 180?

= 13.41

Diagonal OM...

6^2 + 6^2 

= 36 + 36

=  72

Square root of 72?

 = 8.48

Therefore, Sam is incorrect because 8.4 isn't half of 13.4.

Answer:

XY = 10 cm

Step-by-step explanation:

XY is a midsegment and is half the length of the 3rd side DE, that is

XY = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 20 = 10 cm

Answer:

Step-by-step explanation:

J and k are parallel if

angle 1 = angle 4 (vertically opposite angles)

angle 2 + angle 5 = 180 degree (being co interior angles)

angle 4 = angle 5 (being alternate interior angles)

angle 1 = angle 5 (being corresponding angles)

Answer:

2 and 5 are co - interior angles

1 and 3 are corresponding angles

1 and 4 are alternate

6 and 8 are corresponding angles

Step-by-step explanation:

The question is incomplete. The complete question is :

The pH of a solution is a measure of the quantity of hydrogen atoms (H) in the solution. It is given by the formula f(x) = −log x. In the formula, x = [H+], the molar concentration of hydrogen atoms, or the number of moles of hydrogen atoms per liter of solution

The approximate molar concentration of several chemicals are given. Find the pH of each. Use the calculator and round to the nearest tenth, if necessary.

Oven cleaner: [H+] = 10−13 pH =

Water: [H+] = 0.0000007 pH =

Blood: [H+] = 0.00000004 pH =

Vinegar: [H+] = 0.0063 pH =

Solution :

Given formula :

f(x) = −log x

Here,  x = [H+] = molar concentration of hydrogen atoms

Therefore, the pH of each of the following solution are :

Oven cleaner

[[tex]$H^+$[/tex]] = [tex]$10^{-13}$[/tex]

pH = - log [[tex]$H^+$[/tex]]

     = [tex]$- \log 10^{-13}$[/tex]

     = 13

Water

[[tex]$H^+$[/tex]] = 0.0000007

pH = - log [[tex]$H^+$[/tex]]

     = - log 0.0000007

     = 6.2

Blood

[[tex]$H^+$[/tex]] = 0.00000004

pH = - log [[tex]$H^+$[/tex]]

     = - log 0.00000004

     = 7.4

Vinegar

[[tex]$H^+$[/tex]] = 0.0063

pH = - log [[tex]$H^+$[/tex]]

    = - log  0.0063

    = 2.2