Create a factorable polynomial with a GCF of 2. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

The literal equation cy - 7 = 5d + 3y can be solved for y by first bringing all the y terms to one side, and then factoring y out and dividing by the remaining coefficient to isolate y. The solution is y = (5d + 7) / (c - 3).

To solve the literal equation cy - 7 = 5d + 3y for y, we need to isolate y on one side of the equation. First, we want to bring all the terms containing y to one side and the rest to the other side. We achieve this by subtracting 3y from both sides of the equation and adding 7 to both sides, leading to cy - 3y = 5d + 7.

Now, we factor y out of the terms on the left side thus: y(c - 3) = 5d + 7. Finally, we divide both sides by (c - 3) to get y by itself: y = (5d + 7) / (c - 3). Therefore, we have isolated y and expressed it in terms of c and d.

Answer:

The scale of the drawing of girrafe is [tex]1:200[/tex].

Step-by-step explanation:

Given: scale drawing of a giraffe that is  [tex]6\rm\;{m}[/tex] tall, and the height of the giraffe in your drawing is [tex]3\rm\;{cm}[/tex].

As per question,

Dimension of giraffe is [tex]6\rm\;{m}[/tex] tall and height is [tex]3\rm\;{cm}[/tex].

For scaling the drawing, the given unit must be same.

As we know that,

[tex]1\rm\;{m}= 100\rm\;{cm}\\6\rm\;{m}=600\rm\;{cm}[/tex]

Therefore, scale of the drawing is [tex]3\rm\;{cm}:600\rm\;{cm}=1:200[/tex].

Hence, the scale of the drawing is [tex]1:200[/tex].

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divide 125 by 5

125 /5 = 25 meters per minute

Answer:

The rate per min is, 25 meters/minute

Step-by-step explanation:

Unit rate is defined as when rates are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.

Given the statement: a machine laying underground cable can place 125 meters of cable in 5 minutes.

Then by definition:

rate per minute  = [tex]\frac{125}{5} = 25[/tex] meters /minute

therefore, the rate per minute is, 25 meters/ minute

slope = y2 - y1 / x2-x1

 she switched the y values and has y1-y2

 so the answer is B

Answer:

slope = y2 - y1 / x2-x1

she switched the y values and has y1-y2

so the answer is B

Step-by-step explanation:

Polynomial is an expression that consists of indeterminates(variable) and coefficients.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

As we know about the polynomials, therefore, the expressions that are polynomials are,

Polynomial:

Not a Polynomial:

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Answer:

The number round to nearest tenths.

Step-by-step explanation:

Given : A number changed to 12.6 after it was rounded.

To find : To what place was the number rounded?

Solution :

The number round when the last digit place value is greater than 5, then before that number rounds by 1 and change the number.

In number 12.6 it was rounded to the nearest tenths.

Which means the hundredths place is greater than 5 either 6,7,8 or 9 and the tenths place is definitely 5.

So, the number can be 12.56, 12.57, 12.58, 12.59

If they all round we get the number 12.6.

Final answer:

To find the greatest common divisor of 273 and 3019 using Euclid's algorithm, we divide the larger number by the smaller and use the remainder to repeat the process until we reach a remainder of 0. The gcd of 273 and 3019 is determined to be 1, indicating that they are coprime.

Explanation:

Using Euclid's Algorithm to Find the GCD

Euclid's algorithm is a method to determine the greatest common divisor (gcd) of two numbers. To find the gcd of 273 and 3019, we perform the Euclidean division repeatedly until we get a remainder of zero. The last non-zero remainder will be the gcd of the given numbers.

Divide 3019 by 273 to get a quotient of 11 and a remainder of 46.

Next, divide 273 by 46 to get a quotient of 5 and a remainder of 43.

Then, divide 46 by 43 to get a quotient of 1 and a remainder of 3.

Finally, divide 43 by 3 to get a quotient of 14 and a remainder of 1.

Now, divide 3 by 1 to get a quotient of 3 and a remainder of 0.

Since the last non-zero remainder is 1, the greatest common divisor (gcd) or g of 273 and 3019 is 1. Thus, 273 and 3019 are coprime or relatively prime to each other.

Answer:

The required value of t is equal to 2

Step-by-step explanation:

We need to solve the following expression :

[tex]\log_4(7t+2)=2[/tex]

Now, using the base rule :

[tex]2=\log_4(4^2)\\\\\implies 2= \log_4(16)[/tex]

Now, using this value of 2

[tex]\log_4(7t+2)=2\\\\\implies\log_4(7t+2)=\log_4(16)\\\\\implies 7t+2=16\\\\\implies 7t=16-2\\\\\implies 7t=14\\\\\implies t = 2[/tex]

Hence, The required value of t is equal to 2

Answer:

This one is 2, next answer is 7

Step-by-step explanation:

edge 2020

-4/5 * 10/16 =

multiply 4 and 10

4*10 = 40

multiply 5 and 16

5*16 = 80

so you have 40/80 since 4/5 is negative the answer is also negative

 so you would have -40/80 which reduces to -1/2

If the consumer price index changes from 125 in september to 150 in october, the rate of inflation is a. 20.0%

Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When inflation is too high, it is not good for the economy or individuals. Inflation always reduce the value of money, unless interest rates are higher than inflation. The less chance there is that savers will see the real return on their money if the inflation gets higher. There are causes of inflation such as demand-pull and Cost-push. They are responsible for a general rise in prices in an economy.

Policies to reduce inflation  are such as monetary policy (Higher interest rates), Tight fiscal policy (Higher income tax and/or lower government spending that will reduce aggregate demand and leading to lower growth and less demand pull inflation).

The rate of inflation = 20%.

September's price = 125  

October's price = 150

Rate of inflation = [tex]\frac{(150-125)}{125}  * 100[/tex]

[tex]\frac{25}{125 } *100[/tex]

[tex]=0.2 * 100 \\= 20%[/tex]

Grade:  9

Subject:  business

Chapter:  the consumer price index

Keywords:   the consumer price index, september, october, the rate of inflation, inflation

To find the equation of a line parallel to 3y - x = -12 that goes through the point (18, 2), first find the slope of the given line, which is 1/3. Then, use the point-slope form with the given point and the slope to write the equation of the desired line, which is y = (1/3)x - 4.

To write an equation of the line that passes through the point (18, 2) and is parallel to the line 3y - x = -12, we first need to find the slope of the given line. For a line to be parallel, it must have the same slope as the line to which it is parallel. We start by putting the equation of the given line in slope-intercept form (y = mx + b).

First, isolate y:
3y = x - 12
y = (1/3)x - 4

The slope (m) of the given line is 1/3. Our parallel line should have the same slope, so we'll use this slope and the point (18, 2) in the point-slope form of a line equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Now, plug in the values:
y - 2 = (1/3)(x - 18)

This is the point-slope form of the equation for our parallel line. To put it into slope-intercept form, we distribute and simplify:

y - 2 = (1/3)x - 6
y = (1/3)x - 4

Answer:

A) Wednesday

Step-by-step explanation:

grinding on E2020 here you go :)

20% = 0.20

 multiply original price ( $0) by 0.20 for the amount of discount then subtract it

80*0.20 = 16.00

 she will save $16

80-16 = 64

 she will pay $64 after the discount