This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last year’s price. What was the old selling price?

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C

Answer:

I say it is A.

Step-by-step explanation:

It is the one that makes the most sense.

Hope this helps.

Answer:

the answer is A=(8)(8)/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

In mathematics, every integer is a rational number, hence a whole number 6 can be written as 6/1. 1/3 ÷ 6 = 1/18 in fraction form. 1/3 ÷ 6 = 0.0556 in decimal form.

Answer:

1/18 or 18 is your answer.

Step-by-step explanation:

Since 1/3 is already in fraction form, we will now turn 6 into fraction form.  Which is 1/6. Now we will put it into the equation 1/3 x 1/6 = 1/18.  The fraction 1/18 can also be 18.  Therefore, 18 or 1/18 is our answer.

Answer:

g < 8

rip 5 days ago

Answer:

its B and E

Step-by-step explanation:

I already did the review

Answer:

The set of values are described below:

[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].

Step-by-step explanation:

Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]OJ \parallel RS[/tex] and [tex]OP \parallel RM[/tex]. By Alternate Internal Angles, we find that [tex]\angle R \cong \angle O[/tex]. In addition, the sum of internal angles in triangles equals 180°. Then, we have the following system of linear equations:

[tex]m\angle R + m\angle M + m\angle S = 180^{\circ}[/tex] (1)

[tex]m \angle O + m \angle P + m\angle J = 180^{\circ}[/tex] (2)

[tex]m\angle S = 65^{\circ}[/tex] (3)

[tex]m \angle M = m\angle P = 90^{\circ}[/tex] (4)

The solution of this system is [tex]m\angle R = 25^{\circ}[/tex], [tex]m \angle O = 25^{\circ}[/tex] and [tex]m \angle J = 65^{\circ}[/tex].

Lastly, the remaining sides are found by definition of congruence

Segment RS

Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline {RS} \cong \overline {OJ}[/tex]. Hence, [tex]RS = 25\,cm[/tex]

Segment JP

Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline{SM} \cong \overline {JP}[/tex]. Hence, [tex]JP = 10\,cm[/tex]

The set of values are described below:

[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].

Answer:

One thousand

Step-by-step explanation:

Answer: one thousand

Step-by-step explanation:

A thousandth is one of a thousand equal parts of something. ... a dust particle weighing only a thousandth of a gram.

Answer:

For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;

-0.757, -17.5

Step-by-step explanation:

Given that the function is f(x) = √(2·x + 2) - √(x + 18)

The value of 'x' when f(x) = -1, is given as follows;

-1 = √(2·x + 2) - √(x + 18)

-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19

2·x² + 38·x + 36 = (3·x + 19)/2

2·x² + 38·x + 36 - (3·x + 19)/2 = 0

4·x² + 73·x + 53 = 0

From which we get;

x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)

x ≈ -0.757, and x ≈ -17.5

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

Explanation:

If we were to keep the red curve completely fixed, but we moved the xy axis four units to the left, then this would give the illusion the red curve is moving four units to the right to arrive at the blue curve's location.

Shifting the xy axis four units to the left is the same as subtracting 4 from each initial input x value. So we go from x to x-4.

The parent function f(x) = x^2 then becomes g(x) = (x-4)^2 which is choice C.

As one way to check, plug in x = 4 and you should find that g(4) = 0. This is the x intercept of the blue curve. Something like g(x) = (x+4)^2 does not work because plugging x = 4 into this leads to g(x) = 64, so that rules out choice A. You can eliminate choices B and D for similar reasoning as well.

Answer:

C.) G(x) = ( x-4 )^2

Step-by-step explanation:

Took the test

Answer:

False

Step-by-step explanation:

A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.

Answer:

No, it is not a solution of the equation.

Step-by-step explanation:

x=-11, y=-284

14 · (-11)-129=-283

-283≠-284

Answer:

C) There is no clear relationship between period and exam scores.

[tex]\mathtt{: )}[/tex]

Answer:

No, it doesn't matter as they are mutually exclusive events. So, the occuring of one event does not effect another event.

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4  We are gonna simplify

Step 2

11 ≤ t + 4  simplify

t+4≥11

Step 3

t+4≥11  Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

Answer:

The average speed of the entire trip is 8.5 miles per hour.

Step-by-step explanation:

Speed = Total  Distance / Total Time

So we have to find the total distance and the total time taken .

1) From Gujranwala to Daska

speed= 25miles/hour           distance = 15miles

Time taken = distance / speed

                   = 15/25= 0.6 hours

2)  From Daska to Sialkot

speed= 40miles/hour           distance = 15miles

Time taken = distance / speed

                   = 40/15= 2.67 hours

3 ) From  Sialkot to Daska

speed= 30miles/hour           distance = 15miles

Time taken = distance / speed

                   = 30/15= 2 hours

The total distance traveled to three places is = 15+ 15+15= 45miles

The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours

Speed = Total  Distance / Total Time

Speed= 45/ 5.3

          = 8.49=8.5 miles per hour

The average speed of the entire trip is 8.5 miles per hour.

Answer:

Width of rectangular garden = 10 meter

Step-by-step explanation:

Given;

Area of rectangle garden = 150 m²

Length of rectangular garden = 5 meters more than its width

Find:

Width of rectangular garden

Computation:

Assume;

Width of rectangular garden = W

So,

Length of rectangular garden = 5 + W

Area of rectangle garden = length x width

(W)(W + 5) = 150

W² + 5W = 150

W² + 5W - 150 = 0

W² + 15W - 10W  - 150 = 0

W(W + 15) - 10(W + 15) = 0

(W + 15)(W - 10)

So,

W = -15, W = 10

Width of rectangular garden = 10 meter

Answer:

110°

Step-by-step explanation:

Since angle B is 30° and the ratio of a to b is 2:1, multiply 30 by 2 to get the measure of angle a = 60°.

Since angles a is 60° And the ratio of a to c is 3:1, divide 60 by 3 to get the measure of angle c = 20°.

add them up:

60 + 30 + 20 = 110°

Answer:

704

Step-by-step explanation:

We need to find the volume of pyramid and cube and plus.

volume of pyramid

l-Base length  

w-Base width  

h-Pyramid height

Vp==lwh /3=8·8·9 /3=192

Volume of pyramid and cube

a-Edge

Va=a³=8³=512

V=Va+Vp=512+192=704

Answer:

1

Step-by-step explanation:

Answer:

[tex]A=552\ inches^2[/tex]

Step-by-step explanation:

The dimensions of a box measures 12 inches × 9 inches × 8 inches.

We need to find the area of the aluminium required to cover the entire outside of the box.

We know that the surface area of the cuboidal box is given by :

[tex]A=2(lb+bh+bl)\\\\=2(12\times 9+9\times 8+8\times 12)\\\\=2\times 276\\\\=552\ inches^2[/tex]

So, the required area of the foil is equal to [tex]552\ inches^2[/tex].

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

To know more about distance follow

https://brainly.com/question/2854969

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Answer: 100

Hi!

ok so the Pythagorean theorem is

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10[/tex]

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

Answer:

Step-by-step explanation:

hello : x = -0.75

Answer: C

Step-by-step explanation:

7.5, because |-7.5|= 7.5

If a negative number is in between these bars | | then it becomes a positive.

Answer:

pennsylvania because -9 is colder than -7

Step-by-step explanation:

give brainliest if right