solve the system of equations:
-3x + 7y = -15
3x + 5y = 15

what do X and Y equal?

Answer:

f(x) = x^3 - 6x^2+8x

Step-by-step explanation:

Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).

The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:

x=0 and x=2 and x=4

Just "undo" that last step of solving and you get:

x = 0 and

x - 4 = 0 and

x - 2 = 0

These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.

so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.

(x - 2)(x - 4)

use FOIL or distributive property or area model(box) method to multiply and get

x^2 - 6x + 8

Then multiply in the x using distributive property.

f(x) = x(x^2-6x+8)

f(x) = x^3 - 6x^2 + 8x

That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.

Answer:

Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.

the picture below is an example of what it looks like

WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.

the fact of existing outside the perceiving subject.

Answer:

Step-by-step explanation:

Given binomial

Use the property

The binomial remains same without brackets

Answer:

Mean=5, 77 Median=6 Mode=6 I hope this will help you

Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.

Mathematically, compound interest is calculated by using this formula:

[tex]A=P(1+r )^{t}[/tex]

Where:

Given the following data:

Principal = £500.

Time = 3 years

Interest rate = 1.5% = 0.015.

Substituting the given parameters into the formula, we have;

A = 500(1 + 0.015)³

A = 500(1.015)³

A = 500 × 1.0457

A = £522.85.

Conversion:

100 penny = 1 pounds.

X penny = 522.85 pounds.

Cross-multiplying, we have:

X = 522.85 × 100

X = 52,285 penny.

Read more on interest here: brainly.com/question/24341207

Answer:

Perimeter = 42 cm.

Step-by-step explanation:

The  2 legs are equal in length as it is an isosceles trapezoid.

Area of  trapezoid  = (h/2)(a + b)  where a and b are the parallel bases.

So

(5/2) (a + b) = 45

a + b = 45 * 2/5 = 18 cm.

We are given that the length of a leg (L) is 2/3 * sum of the bases, so:

L = 2/3(a + b)

  = 2/3 * 18

   = 12 cm.

The perimeter = a + b + 2L

= 18 * 2*12

= 42 cm.

Answer:

1.6 is greater than 1.59

Step-by-step explanation:

It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...

The LSRL is the Least Squares Regression Line of the new engine design performance

This is the equation of the Least Squares Regression Line.

From the calculation summary, we have the following parameters:

So, the LSRL is:

y = 11.6559 + 3.47812x

Where y represents the predicted volume and x represents the weight.

In (a), we have:

y = 11.6559 + 3.47812x

Substitute 100 for x

y = 11.6559 + 3.47812 * 100

Evaluate

y = 359.4679

Hence, the predicted top speed when the weight is 100 tons is 359.4679

Read more about Least Squares Regression Line at:

https://brainly.com/question/24848242

Answer:

I dont know bro, I am here for the free answers.

Answer:

33

Step-by-step explanation:

35 take away 1 is 34 take away one more its 33

Answer:

A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?

Step-by-step explanation:

[tex]\pink{ \rule{0pt}{99999pt}}[/tex]

Answer:

Five units right and three units up.

If you notice there's a ' on the green triangle (a',b',c')

That means that the blue triangle was translated to get to the green triangle

Answer:

-5 and 9

Step-by-step explanation:

To find the solutions we will factor the equation.

First we take out a 2:

[tex]2(x^2-4x-45)[/tex]

Then we can factor again:

[tex]2(x+5)(x-9)[/tex]

This provides us with the answer of:

[tex]x+5=0[/tex]

and

[tex]x-9=0[/tex]

Hence the solutions of -5 and 9.

Answer:

4/10

2/5

6/15

Step-by-step explanation:

We can change all fraction to decimal :

2/10 = 0.2

1/10 = 0.1

4/10 = 0.4

2/5 = 0.4

4/5 = 0.8

6/15 = 0.4

Base on that we can see that 4/10, 2/5, and 6/15 are equal

~lenvy~

Answer:

10 x 0.007 = 0.07

Step-by-step explanation:

im not sure if thats what you meant

Answer:

10

Step-by-step explanation:

On the chart, it says "Number of hostel rooms: 10". The rest of the data is useless and is just there to confuse you.

Answer:

1. The value of 5 is fifty thousand

2. The value of 6 is six thousand

Step-by-step explanation:

1. 8.156 million - 8,156,000

2. 6,521

^ 6000

Answer:

y = -3x + 2

Step-by-step explanation:

use the slope formula to find the slope

replace x and y into slope intercept form with the slope you just found

Answer:

[tex]\bf C)\: -\cfrac{1}{32}[/tex]

Step-by-step explanation:

[tex]\tt \cfrac{1}{2^{-2}x^{-3}y^5}[/tex]

[tex]\tt x=2\\y=-4[/tex]

~

Substitute ''x'' with '2' & 'y' with "-4":-

[tex]\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}[/tex]

First let's solve [tex]\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5[/tex]

[tex]\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }[/tex]

[tex]\tt \cfrac{1}{32}\left(-4\right)^5[/tex]

Calculate exponents:- -4^5= -1024

[tex]\tt \cfrac{1}{32}\left(-1024\right)[/tex]

Remove parentheses, apply rule:- [tex]\tt a\left(-b\right)=-ab[/tex]

[tex]\tt-\frac{1}{32}\times \:1024[/tex]

[tex]\tt \cfrac{1}{32}\times \cfrac{1024}{1}[/tex]

Apply fraction rule:-

[tex]\tt -\cfrac{1\times \:1024}{32\times \:1}[/tex]

[tex]\tt \cfrac{1024}{32}[/tex]

Divide numbers:-

[tex]\tt -32[/tex]

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

[tex]\tt -\cfrac{1}{32}\;\; \bf Answer[/tex]

☆-------☆-------☆-------☆

[tex]\dfrac 1{2^{-2}\cdot x^{-3}\cdot y^5}\\\\=\dfrac 1{2^{-2} \cdot2^{-3} \cdot (-4)^5}\\\\=-\dfrac 1{2^{-2} \cdot 2^{-3} \cdot (2^2)^5}\\\\=-\dfrac{1}{2^{-2} \cdot 2^{-3} \cdot 2^{10}}\\\\=-\dfrac{1}{2^{-2-3+10}}\\\\=-\dfrac 1{2^{5}}\\\\=-\dfrac 1{32}[/tex]

Answer:

Step-by-step explanation:

hope it will help you

Answer:

Step-by-step explanation:

x+ 2x + x +10 = 90

Combine like terms

          4x + 10 = 90

To isolate 'x', first subtract 10 from both sides

                 4x = 90 - 10

                 4x = 80

Now, divide both sides by 4 to get the value of 'x'

                    x = 80/4

                    x = 20

Answer:

7 sq units

Step-by-step explanation:

Area of right angled triangle

= 1/2 * ZJ * JW

= 1/2 * 14 * 1

= 7 sq units

Step-by-step explanation:

We know that,

The surface of a cylinder is given by,

so,

the surface area of the given cylinder would be,

Answer:

c. 3/5

Step-by-step explanation:

Multiply liters per minute by number of minutes and add that to the starting amount.

W = 34t + 400

now replace t with 16 and solve:

W = 34(16) = 400

W = 544 + 400

W = 944

After 16 minutes there are 944 liters in the pond

Answer:

b

Step-by-step explanation:

It helps remove any forms of cholesterol from your blood strem.

Im supper sorry if i do not get it...

Answer:

HEyy

Step-by-step explanation:

its one square inch because if you think about it a little postage samp is very tiny

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]

where,

now, let's calculate circumference ~

[tex]\qquad \tt  \dashrightarrow \:c = 2 \times \pi \times 3[/tex]

[tex]\qquad \tt  \dashrightarrow \:c = 6 \pi \: \: yd[/tex]

Now, let's plug in approximate value of pi :

[tex]\qquad \tt  \dashrightarrow \:c = 6 \times 3.14 \: \: [/tex]

[tex]\qquad \tt \dashrightarrow \:c = 18.84 \: \: yd[/tex]