How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?

1km = 1000 m , thus 56km = 56000 m

1hr = 60 mins

1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr

so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?

[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]

Answer:

distributive property

Step-by-step explanation:

Because distributive property formula is a(b+c) = ab + ac

meaning that w(6+5) = 6w + 5w

Answer:

Where is it?

Step-by-step explanation:

Answer:

A) no solution

Step-by-step explanation:

It’s A Contradiction

Answer:

its one solution

Step-by-step explanation:

-20+12

Answer:

The correct form is [tex]y = -2x + 24[/tex]

Step-by-step explanation:

First we need to interpret the equation of Nolan.

How you can see the initial amount in the bank is incorrect because Nolan started with 24 instead of 12.

So the correct form of the equation is:

[tex]y = -2x + 24[/tex]

Answer:

Both of those are continuous

Step-by-step explanation:

A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.

The value of both functions is defined for a continuous interval of x thus both will be continuous.

A certain kind of relationship called a function binds inputs to essentially one output.

The nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the first function →

y = 30.48x where x is feet and y is a centimeter of conversion.

Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.

The second function →

y = 3x + 2 where x is minutes and y is the number of gallons in a tank.

Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.

Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".

For more about the function,

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#SPJ2

Answer:

16

Step-by-step explanation:

Since the perimeter of the rectangle is 80, we can set up the perimeter formula:

80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10

10x=70

x=7

AB=2x+2=2(7)+2=14+2=16

Answer:

AB= 16

Step-by-step explanation:

2x+2+3x+3=40

Add like terms: 2x+3x= 5x and 2+3=5

New equation: 5x+5=40

Solve: 40-5= 35

Now we know that x is equal to 7.

2(7)+2= 16

Side DC equals 16.

Side AB has the same length as side DC since it's a rectangle.

Side AB equals 16.

Let's check: 16+16=32 (side DC and side AB)

24 must be the length of the other sides.

So, when you add all the sides together...

16+16+24+24= 80

You get 80, the perimeter!

I hope this helped!

Answer:

31200=300.5%

Step-by-step explanation:

31200=3+1200

=31+1200

=(31×200200)+1200

=600200+1200=601200

We know that

601200

is the same as

601÷200

Then using

gives us

=3.005

Convert the decimal to a percent:

3.005×100

and rounding to a Max of 2 Decimal Places

=300.5%

Answer:

tnx to your points..

god bless you ..

maybe they help for youuu..

Answer:-2.4f + 0.4f -15-3Step-by-step explanation:

Answer:

-1.8f - 19

Step-by-step explanation:

Answer:

1.43 ounces

Step-by-step explanation:

384 / 60 = 6.4

7.83 - 6.4 = 1.43

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3

Answer:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

Answer:

x = - 3

Step-by-step explanation:

9 more than the product of a number and three is equal 6.

9 +                                   (x · 3)                                = 6

9 + 3x = 6

3x = -9 + 6

3x = - 3

x = - 3

Answer:

3x + 9 =6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Notice that the y-component is the same, -2, in these two points.  That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.

                                      -2 - (-2)

Alternatively, use m = -------------- = 0

                                        3 - 13

The value of the slope in question is zero:  m = 0

The way you typed out this sentence was a bit confusing but I think you were saying...

For a weekly car rental, a car rental company charges customers a flat fee of $100 +  and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)

The equation would be

10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents

so they would be charging $1.50

Hoped this helped!

Have a great day/night! :)

Ratios are simply used to compare two or more related quantities

(a) Comparing quantities

To compare quantities, we make use of ratios.

Hence, a way to compare two or more quantities is by using ratio

(b) Statement of equality between ratios

When two or more ratios are equal, the ratios are said to be equivalent ratios

Hence, the statement of equality between ratios is equivalent ratios

(c) Express (3) and (4) as ratios

There are 10 stars and 8 crosses.

So, the ratio is 10 : 8

There are 3 toys and 9 books.

So, the ratio is 3 : 9

(d) Compare balloons and party hats

There are 12 balloons and 18 party hats.

So, the ratio is 12 : 18

Reduce the ratio as follows:

12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6

So, the comparison is:

There are 2 balloons for every 3 party hats

(e) Simplify (4)

In (4), we have:

Ratio = 3 : 9

Divide by 3

Ratio = 1 : 3

Hence, the simplified ratio is 1  3

(f) Express the currency ratio in its simplest form

The ratio is given as:

Ratio = 4 * 1 peso coin : Php80.00 coin

Evaluate the product

Ratio = 4 peso coin : Php80.00 coin

Divide both sides by 4

Ratio = 1 peso coin : Php20.00 coin

Hence, the simplest form of the ratio is 1 : 20

Read more about ratios at:

https://brainly.com/question/25326254

4

Step-by-step explanation:

Step-by-step explanation:

x + y = 6

+ x - y = -2

------------------

2x + 0 = 4

x = 2

2 + y = 6

y = 4

Answer:

Answer: 5/9 as a decimal is 0.556.

5/9 ≈ 0.56 rounded to the nearest hundredth, good luck

a.

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

b.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

c.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

d.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

https://brainly.com/question/17997145

Answer:

1. (-2,-5) (-1,-1) (0,3) (1,7) (2,11)

2. (-8,-4) (-4,-3) (0,-2) (4,-1) (8,0)

3. (-4,3) (-2,2) (0,1) (2,0) (4,-1)

4. (-2,-1) (-1,2) (0,5) (1,8) (2,11)

Step-by-step explanation:

1. Slope = (11-7)/(2-1) = 4/1 = 4/1

y-intercept: 7 - (4)(1) = 3

Start in the vertical line (y) on 3, 4 up and 1 to the right (you need to points to trace a line)

2. Slope = (0- - 2)/(8-0) = 1/4

y - intercept = -2-(1/4)(0) = -2

Start on -2 vertical line, 1 up and 4 to the right.

3. Slope = (1-0)/(0-2 = -1/2

y-Intercept: 0 - (-1/2)(2)=1

Start on 1 vertical line then 1 down and two to the right (the slope is negative, the line goes downhill)

4. Slope: (8-1)/(1-0) = 7/1

y-intercept = 1 - (7)(0) = 1

Start on 1 vertical line (y) , seven up and 1 to the right.

Answer:

x=16/15

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

Connecting the mid points of the three sides of the triangle makes four more  triangles all similar and half the size of the original. Corresponding angles of similar triangles have the same measure.

Answer:

Step-by-step explanation:

Answer:

1 pound = 1.389 dollars  ( to nearest thousandth)

Step-by-step explanation:

1 pound = 1/0.72 =  1.388888...

Answer:

Step-by-step explanation:

o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).

The answer would e number B.

Answer:

- 3r + 18

Step-by-step explanation:

7r - 8r - 2r + 13 + 5 = 7r - 10r + 18