Lucy went to buy apples, she bought the first two for the full price and the last one for half the price. Is the relationship between the number of apples and the cost proportional? Justify an answer

Answer:

x^3 +8x^2 +15x

Step-by-step explanation:

(x+5)(x+3)(x)

foil:

x^2+8x+15 (x)

x^3+8x^2+15x

Answer:

15

Step-by-step explanation:

24*5=120 / 8 = 15

15 is answer.

Answer:

6/72

Step-by-step explanation:

6/72 =0.0833333333

Answer: 2/9 X 3/8

NOW'

2  X 3   =   6   THIS IS THE ANSWER WHEN U MULTIPLY NOW AS PER

9      8        72

THE QUESTION WE NEED TO SIMPLIFY IT....

SOOOOOO LETS SEE FIRST IF WE CAN SIMPLIFY IT......

my method)

6/72 (lets divide num nd deno by 2)

3/36( Ahh! we cn simplify it further now divide by 3)

1/12

Other metthod

6/72 ( DIVIDE BY 6)

1/12

Step-by-step explanation:

Answer:

Correct answer: a) -8

Step-by-step explanation:

Complex Numbers

A complex number z in polar form is expressed as

[tex]z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]

The nth power of a complex number in polar form is:

[tex]z^n=r^n(\cos(n\theta)+\mathbf{i}\sin(n\theta))[/tex]

If the complex number is given in rectangular form

[tex]z=x+\mathbf{i}y[/tex]

then the values of r and θ are given by:

[tex]r=\sqrt{x^2+y^2}[/tex]

[tex]\displaystyle \theta=\arctan\left(\frac{y}{x}\right)[/tex]

The given complex number is:

[tex]z=1-\mathbf{i}\sqrt{3}[/tex]

The value of r is:

[tex]r=\sqrt{1^2+(-\sqrt{3})^2}[/tex]

[tex]r=\sqrt{1+3}=2[/tex]

r=2

Calculating the angle:

[tex]\displaystyle \theta=\arctan\left(\frac{-\sqrt{3}}{1}\right)[/tex]

[tex]\displaystyle \theta=\arctan(-\sqrt{3})[/tex]

Since the number is in the quadrant IV, the angle is:

[tex]\theta=-60^\circ[/tex]

Thus, z is expressed in polar form as:

[tex]z=2(\cos(-60^\circ)+\mathbf{i}\sin(-60^\circ))[/tex]

Calculating:

[tex]z^3=2^3(\cos(-180^\circ)+\mathbf{i}\sin(-180^\circ))[/tex]

Given cos 180°=-1 and sin(-180°)=0

[tex]z^3=8(-1+0)[/tex]

[tex]z^3=-8[/tex]

Correct answer: a) -8

Answer:

A

Step-by-step explanation:

just finished test

Answer:

Step-by-step explanation:

15x+26 + 5x+34 =180

20x + 60 =180

20x=120

z + 15(6) +26=180

z=180-26-90=180-116

hope it helps:)

Answer:

the answers is 3 over 2 in fraction form

Answer:

1 1/2 or 3/2

Steps:

As we know .5 = 1/2

If we take one the 1 out of 1.5 we can use it to connect 1 and 1/2

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

[tex]60/1.6=37.5[/tex]

Hope this helped!

Answer:

96 km

Step-by-step explanation:

I try it its 96 km

Trust me

Answer:

= -32a+64b

Step-by-step explanation:

thats the answer

Answer:

36

Step-by-step explanation:

8 x 9 = 72

72 ÷ 2 = 36

Find the measurements of the height and length then multiply them together.

Now, divide the sum by two because a triangle has half the area of a square's area.

Answer:

x − 9 x ^2 − 8

Step-by-step explanation:

Answer: m∠EFG = 70

Step-by-step explanation:

m∠EFG = 2x35

m∠EFG = 70

In conclusion the answer is 70

Answer:

A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.

Step-by-step explanation:

Answer: E

Step-by-step explanation: All of the sides are the same length

Answer:

a

Step-by-step explanation:

Pick choice-C ... AAS.

When I learned Geometry (during the late Pleistocene epoch), I don't remember ever using AAS.

BUT ... If you know 2 angles of a triangle, then you know all three, because they all add up to 180.

So if you have AAS=A'A'S', then you also have ASA=A'A'S', which was a congruence theorem even way back then.

Ahhh the good old days. We rarely got any homework, because the teachers all knew that the clay tablets would ruin our backpacks.

Answer:

no

Step-by-step explanation:

Answer:

No

Because 5 and 1 have the same output as 1.

Answer:

8

Step-by-step explanation:

hihihhhihihihihihihihihih

Answer: 5 - 9 = -4

Step-by-step explanation:

So 0 represents your starting point. The arrow starting at 0 is going to the right, so it's adding. It ends at 5, so that means the problem begins with 5. The next arrow starts at 5, then goes back to -4, going back 9 spaces. So far we have 5 - 9. It all stops at -4, so that makes it 5 - 9 + -4.

Answer:

No

Step-by-step explanation:

He will lose 0,05% of the profit

12 x 0,3 = 3,6

3,6 - 3,65 = -0,05

Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners

Step-by-step explanation:

Answer: 12 is the square root of 144

Step-by-step explanation:

Answer:

180 boys

Step-by-step explanation:

If there is a ratio of 9 boys : 11 girls

9 + 11 = 20 total

And if there are 400 students total in the school

400/20 = 20.

9 * 20 = 180

11 * 20 = 220

So the ratio of 400 pupils would now be 180 boys: 220 girls

Answer:

-11

Step-by-step explanation:

Triangles have 180 degrees

using the vertical angle theory we know that 80 and 60 are angles

We can subtract them from 180 to get 40 left

this minus 51 is -11

x is -11

Answer:

1/6

Step-by-step explanation: