(80i) – (80 + 101) =
Express your answer in the form (a + bi).

Answer:

7)

a. y = 1/3x - 2

b. m = 1/3, b = -2

8.

a. y = -1/3x -5

b. m = -1/3, b = -5

Step-by-step explanation:

7.

2x - 6y = 12

-6y = -2x + 12

y = 1/3x - 2

8.

x + 3y = -15

3y = -x - 15

y = -1/3x -5

c.

Answer:

Brand A: $0.40

Brand B:  $0.30

Brand C: $0.25

Brand D: $0.20

Answer:

Step-by-step explanation:

1. 0.40

2. 0.30

3. 0.25

4. 0.20

Step-by-step explanation:

x/y=constant

12/4=3

x/1=3

x=3

Here, if x varies directly as y. When y=1, then x=3.

Given that, x varies directly as y.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

If x= 12 when y= 4

Here, x varies directly as y is x∝y

⇒ x=ky

⇒ 12=k(4)

⇒ k=3

So, x=3y

When y=1, we have

x=3(1)

⇒ x=3

Here, if x varies directly as y. When y=1, then x=3.

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The Answer is:

−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!

Answer:

[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]

Step-by-step explanation:

Given polynomial [tex]g[/tex]:

[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]

A factor of polynomial is [tex](x+2)[/tex].

To find:

Equation of the polynomial as the product of linear factors.

Solution:

First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.

As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.

That quadratic will have 2 solutions.

Solving the quadratic in linear will give us the answer.

Result of division:

[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]

Now, solving the quadratic:

[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]

So, the linear equation can be written as:

[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]

Answer:

tyhjhngbfr

Step-by-step explanation:

gbftrfedvgbhnjyh yeet

Answer: You can go online and type ps5 and it will get shipped to you. Or you can check Target, Bestbuy, Gamestop and etc.

Step-by-step explanation:

Answer:

gamestop or online!!

Step-by-step explanation:

hope this helps!!

Answer:

5×(+1)=

5×1=5

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

if you're going for distributive law then 5(-5)+5(6). -25+30. so 5

Please Brainliest me!

The slope of y=4x is 0,4 PLEASE BRAIN ME!

Answer:

Distributive property

Step-by-step explanation:

Answer: n = 3 or 5

n^2+15=8n

Or,

n2 - 8n + 15 = 0

(n - 3)(n - 5) = 0

So n is 3 or 5.

Answer:

6 places to the right....

Answer:

The value of w is 3.

Step-by-step explanation:

Parallelograms have equal opposite side measures.

so,

6w = w +15

6w - w = 15

5w = 15

w = 3

Answer:

w=3

Step-by-step explanation:

The opposite arms of parallelogram are equal

So the equation is

6w=w+15

=>6w-w=15

=>5w=15

=>w=15/5

Therefore

w=3

If you find my answer helpful.then please mark me as brainliest

Answer:

2^5

Step-by-step explanation:

Answer:

1000000

Step-by-step explanation:

I'm not sure what you meant by "scientific notation". So uhh, I only solved the 1.0 times 10^6,

10^6=10×10×10×10×10×10

10^6=1000000

(Fun fact. If you ever see a power of 10, you don't actually need to solve it. Look at the power, and add the same amount of 0's. For example 10^2. Power sign is 2. 2 trailing 0's.)

Answer:

ight A on top since it's the cmallest followed by B,C,D,E

Step-by-step explanation:

Answer:

what is the question and where is it?

Step-by-step explanation:

The first option

Factoring [tex]6x^2+7x-10[/tex]

gives us:

[tex]\left(6x-5\right)\left(x+2\right)[/tex]

so we know that the first option,

one of the factors is (x+2) is correct.

Answer:

y<4

Step-by-step explanation:

thats your answer :)

Answer:First suppose that the roots of the equation

x2−bx+c=0(1)

are real and positive. From the quadratic formula, we see that the roots of (1) are of the form

b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2.

For the root or roots to be real, we require that b2−4c≥0, that is, b2≥4c. In order for them to be positive, we require that

b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0.

This immediately tells us that b>0, but we can go further. We can rearrange this to get

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

which (assuming that b>0) is true if and only if

b2>b2−4c,

since both sides of the inequality are positive so we may square. But then

4c>0.

That is, if the roots are real and positive then b>0 and b2≥4c>0.

Now suppose that b>0 and b2≥4c>0.

Then the roots of (1) are real since b2−4c≥0, and b>0 guarantees that the root b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√ is positive.

So it remains to show that b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0. We have that

4c>0,

so that

b2>b2−4c,

then square rooting shows that

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

so the roots of (1) are real and positive, as required.

Approach 2

the curve y equals x squared minus b x plus c showing two positive roots for y equals zero

This is intended to be a proof without words! We have from the diagram that:

If c, b and b2−4c are all positive, there are two real positive roots for x2−bx+c=0 (if b2=4c, we have two real positive equal roots).

If there are two real positive roots for x2−bx+c=0, then c and b are positive and b2−4c is non-negative.

(Why is the distance between the roots b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√?)

Approach 3

When solving problems about the roots of polynomials, it is often useful to find expressions those roots must satisfy and see if this tells us anything new. If α and β denote the roots of the equation, then

x2−bx+c=(x−α)(x−β)=x2−(α+β)x+αβ

and so α+β=b and αβ=c.

We also know that the roots of a quadratic equation are real if and only if the discriminant is non-negative, that is, if and only if b2−4c≥0.

Using these facts, if α and β are both real and positive, then b=α+β>0, c=αβ>0 and b2≥4c, as above.

Conversely, if b>0 and b2≥4c>0, then we know the discriminant is positive and hence both roots are real. We also have that

αβ>0(2)

and

α+β>0.(3)

As α and β are both real, by (2), we know that α and β are either both positive or both negative. However, if α and β were both negative, then (3) could not possibly hold. Hence α and β are both positive, as required.

We now sketch on a graph the region where b>0, c>0 and b2≥4c:

The curve b squared = 4 c as a quadratic with the c-axis vertical and the b-axis horizontal. The region below it is shaded.

The region of the b-c plane for which b>0, c>0 and b2≥4c

Sketch the region of the b-c plane in which the roots of the equation are real and less than 1 in magnitude.

We know that in order for the roots to be real we need b2≥4c as in the first part. We now need to find the region where

−1<b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.(4)

We have b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2≤b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2 so we only need to consider the values for which both

−1<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2andb+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.

Firstly, we will consider the values for which

b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2.

Rearranging gives

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2−b.

So b<2, as the square root is non-negative, and we can square both sides to get

b2−4c<4−4b+b2,

which we may rearrange to find c>b−1.

We will now consider the values for which

−2<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√.

Similarly, we can rearrange to get

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<b+2.

So b>−2, and we can, as before, square to get

b2−4c<b2+4b+4,

and hence c>−b−1.

To sketch the graph, we start by considering the boundary curves b2=4c, c=b−1 and c=−b−1, and the points at which they intersect. We can see that the two lines only intersect when b=0 and c=−1, and the lines intersect the curve when

b2=4b−4andb2=−4b−4

which rearrange to

(b−2)2=0and(b+2)2=0.

This tells us that each line intersects with the curve in only one place and so these lines must be tangent.

Is there a way we could have deduced this directly from (4)?

What do the lines being tangent signify in terms of our equation x2−bx+c=0?

Is this a representation of a well-known property of these equations?

Sketching the graph then yields the following picture:

The graph with the previous curve and the lines 4 c = 4 b minus 4 and 4 c = minus 4 b - 4. Each line touches the curve once and the two lines intersect at (0, minus 1). The region between the three lines/curves is shaded.

The shaded region is where b2≥4c, c>b−1, c>−b−1 and −2<b<2

We might notice that when we derived the inequalities c>b−1 and c>−b−1, a lot of the work we did was very similar.

We might also notice that the graph above is symmetric about the c axis. Why is this?

Does the graph give us any ideas about how we might deduce one inequality from the other?

Step-by-step explanation:

Don't know exactly what you're asking, but I think you're asking what the slope and what the y-intercept is.

1/2x is the slope

Positive 2 is the y-intercept

it y because of the equation mx +b and b is y

Answer:

Elevator 2

Step-by-step explanation:

Well let's make this simply by focusing on elevator number 1

it is on the 6th floor so we represent that as

6

Now it goes up 7/4 which is also the same as 1 3/4

the equation looks like this:

6+1 3/4

Add them together:

7 3/4

Now it goes down 10 meaning it is -10 add that to the equation:

7 3/4 - 10

Which is -2 1/4

Elevator number 1 is at floor number -2 1/4

Now for Elevator number 2

It is on the 20th floor which will make the equation looks like this:

20

Now it goes down five floors three times which can be represented like this:

20-5(3)

Simplify (Multiplication goes first according to the Order of Operations)

20-15= 5

Now it is 5 but it goes up 12 floors so the equation looks like this:

5+12

Simplify:

17

Now you could tell that elevator 2 ends up on a higher floor

Hope this helps!

Answer:

yes it is because 0-4 is an integer

Step-by-step explanation:

Answer:

yes, it is also a whole number.

Step-by-step explanation:

Hope this helps and have a good day! :)

Answer:

y = 3/5x + 3/5.

Step-by-step explanation:

the /'s are division symbols.              3            3

                                                  y =     _   +       _

                                                           5            5

Answer:

m = 0

Step-by-step explanation:

Solve: Add -35m to -5m

-5m = -35m

+35m

30m = 0 *note: its okay to have 0 in this spot*

divide 0/30

m=0 because you can't divide by 0

The value of m is 7 for the given statement -5m = -35.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an expression

-5m = -35

Divide by -5 on both sides

m = 7

Therefore, For the given expression -5m = -35 the value of m is 7.

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Answer:

25

Step-by-step explanation:

so lets write our ratios.

Students that wear glasses to the whole class:

2 : 5

Students that wear glasses to those that dont:

2 : 3

And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be

10 : 15

10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.

Answer:

y=-4x+2

Step-by-step explanation:

B is the y-intercept and M is the sope, or x, knowing this now we slove:

(-4, 2)

m    b

y=mx+b

y=-4x+2

Have a beautiful day! v(⌒o⌒)v♪

For more help take a look at the picture below.

Answer:

A

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] → A

Answer:

27

Step-by-step explanation:

btw just goo. gle the first 5 words with " at each end and it gives you the answer :)

not guaranteed, some dont have

Answer:

no 0.250 is not greater than 3/8

Step-by-step explanation:

because when you make 3/8 into a decimal it becomes 0.375 so no

Answer:

No. 0.25 is not greater than 3/8

Step-by-step explanation:

Convert 3/8 to a decimal.

1/8 = 0.125 in decimal form.

Multiply this by 3.

3/8 = 0.375.

0.375 > 0.250

Your answer will be 0.25 < 3/8