The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. Create an equation for the relationship between temperature and the time.

-4x = y + 3

y = -4x - 3​ => 4x = -y - 3

-4x = y + 3

4x = -y - 3

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

0 = 0 (always true)

All Real Numbers

Answer:

x = x, y = -3 - 4x

Step-by-step explanation:

Subtract y from both sides of the equation.

-4x - y = 3

y = -4x - 3

Add 4x to both sides of the equation.

-4x - y = 3

y + 4x = -3

-4x - y = 3

Reorder the polynomial.

Add the two equations together to eliminate y from the system.

 -4x - y = 3

+ 4x + y = -3

          0 = 0

Since 0 = 0, the equations intersect at an infinite number of points.

Infinite number of solutions.

Solve one of the equations for y.

y = -3 - 4x

The solution is the set of ordered pairs that make y = -3 - 4x true.

Point form: (x, -3 -4x)

Equation Form: x = x, y = -3 - 4x

good luck, i hope this helps :)

Answer:

Y= -1/2x -1

Step-by-step explanation:

Answer: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)

Step-by-step explanation:

Answer:

Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)

I hope it's helpful!

Answer:

b

Step-by-step explanation:

xhxhdjdhxhdhehrhfhchxhdjeurjr

Answer:

V=80π/3 or V=83.78

Step-by-step explanation:

The volume is

V=πr^2h/3

r=4 (because the radius is half the diameter)

h=5

V=π16*5/3

V=80π/3

Answer:

83.73

Step-by-step explanation:

volume = (1/3) · π · r2 · h

volume = (1/3) x 3.14 x 4^2 x 5

volume = (1/3) x 3.14 x 16 x 5

3.14 x 16 x 5 = 251.2

1/3 x 251.2

83.73

Answer:

Yes, because they both have two sets of parallel lines.

Hope that helps!

Step-by-step explanation:

Answer:

A or D maybe

Step-by-step explanation:

I don't really know I'm confused myself

Step-by-step explanation:

cluldnt get the answer for one

Answer:

A. the first quartile represents the median of the lower half of the data set

B. the third quartile represents the median of the upper half of the data set

Step-by-step explanation:

Answer:

If you are asking the area it is 12

Step-by-step explanation:

Answer:

Area: 4 x 3 = 12m

Perimeter: 4 + 3 + 4 + 3 = 14m

Step-by-step explanation:

I hope this helps u! :D

Answer:

172.7

Step-by-step explanation:

2590 divided by 15 = 172.6666667

7 is greater than five so the 6 gets rounded up which makes the answer 172.7!

2590 divided by 15 can be calculated by division operation and it will be equal to 172

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

To divide 2,590 by 15, we can think of it as breaking up 2,590 into 15 equal parts. Each of these parts will have a value of 172, since 2,590 divided by 15 is equal to 172.

In mathematical terms, division is the inverse operation of multiplication. When we divide 2,590 by 15, we are asking, "How many times does 10 fit into 2,590?" The answer is 50, so 2,590 divided by 15 is equal to 172.

So, in summary, 2,590 divided by 15 is equal to 172, and this means that 2,590 can be evenly divided into 15 parts, each of which has a value of 172.

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Answer:

below

Step-by-step explanation:

32N D.

Answer:

the answer is p

Step-by-step explanation:

Answer:

60 %

Step-by-step explanation:

15/25 = 60/100 = 60 %

Hope that helps!

Answer:

all you have to do is divide, 15÷25 which is 0.6 and 0.6= 3/5

Answer:

GH = 13

FG = 20

<F = 78

<G = 102

<H = 78

Step-by-step explanation:

Since there are 5 measures that are missing, we will do each one in a different part.

1.  The side length of GH is 13. Since this is a parallelogram, the opposite side of your original side is congruent, meaning that its the same. So, knowing that the opposite of FI is GH, we can say that GH is 13 units long.

2. We can use the same logic for number 2, when finding FG. Since HI is 20. we can say that since the corresponding side is also congruent to our original length, they are equivalent. Basically meaning they are the same

3. a. For finding F, we will need to use a different method. Since a parallelogram is somewhat like a transversal we can use that to our advantage. (If you don't know what a transversal it, look at part B instead) Since we know that angle I is 102, and both line FG and HI are parallel, the angles are basically adjacent, when switched. So we should see that it would have to be 78. Meaning that F is 78.

3. b. If you don't understand what a transversal is, we can still figure it out. Knowing that the figure is a closed shape, along with knowing that its a parallelogram, we can say that if we were to sum the angles F and I, we would get 180. 180-102=78, so F is 78.

4. Since we can use a transversal or just pure logic to say that angle G and I are equivalent, meaning that G is 102.

5. This one is exceptionally simple, just for the fact that we have answered the previous questions. We have H left, which is not only equivalent to F, but using 3. b. we can say that its would only make sense that H is 78 as well, to sum up that half to 180.

Answer:

180

Step-by-step explanation:

That's the answer.

.

Step-by-step explanation:

p(x) = 15x-(2000+4x)

profit is going to be the difference between how much money you get from sales less the cost to make the items

the money you make in this case is $15 times the number of cds you sell, we will call the number of cds x

so 15x is the money from sales

the costs you have are 2000 to create the master and then $4 for every cd you create, so your costs will be 2000+4x

so profit is sales minus costs, therefore we get

p(x) = 15x - (2000+4x)

now to find specifically the profit when we create and sell 2800 cds, x = 2800, so we substitute that value in for x

p(2800) = 15(2800) - (2000+4(2800))

= 42000 - (2000+11200)

= 42000 - 13200

= 28800

The profit of selling 2800 additional DVDs is 28800 dollars.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, The profit function is P, and let no. of DVDs sold is x and the profit on each additional disc is,

= $(15 - 4).

= $11.

∴ The profit function p is,

P = 11x - 2000.

So, the profit by selling 2800 additional discs is,

P = 11(2800) - 2000.

P = 30800 - 2000.

P = 28800 dollars.

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Answer:

No, you didn't

Step-by-step explanation:

20% of $1200 is:

Since you saved $200 and its less than $240 you didn't reach your goal

Hi there!

No:

200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.

If it was 20% of 1200, it would then be 240 since 240·5=1200...

What this means:

No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.

Answer:

subsitute x for 20 then subsitute z of 7 then solve.

Step-by-step explanation:

900,000 would be the nearest hundred thousand

sorry if it's wrong, but I did try

Answer:

936,000

Step-by-step explanation:

You are going to round down because 292 is not 500 or higher and if you want to round up it has to be 500 or higher for this problem.

Answer:

C

Step-by-step explanation:

It is C

It means 7 x 5

you have the 7 add up 5 times

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Answer: 2⁵

Explanation: Since these two powers have the same base of 2,

you can multiply them together by simply adding their exponents.

When we do that, we get 2⁵.

A common mistake in this problem would be to multiply

the bases together and give an answer of 4⁵.

The 2's can't be multiplied together however because

they are  not coefficients, they are bases.

When applying your exponent rules, your base will never change.

Answer:

0.387

Step-by-step explanation:

Answer:

The answer would be 0.387

Answer:

1. x³y² + 4x²y³ + 7y⁴ + x⁴

2. a² + b² + c² + 2ab + 2bc + 3ca

Step-by-step explanation:

1. x³y² + x²y³ + 3y⁴ and x⁴ + 3x²y³ + 4y⁴

= x³y² + x²y³ + 3y⁴ + x⁴ + 3x²y³ + 4y⁴

= x³y² + x²y³ + 3x²y³ + 3y⁴ + 4y⁴ + x⁴

= x³y² + 4x²y³ + 7y⁴ + x⁴

2. a² + 3ab - bc, b² + 3bc - ca and c² + 3ca - ab

= a² + 3ab - bc + (b² + 3bc - ca) + (c² + 3ca - ab)

= a² + 3ab - bc + b² + 3bc - ca + c² + 3ca - ab

= a² + b² + c² + 3ab - ab + 3bc - bc + 3ca - ca

= a² + b² + c² + 2ab + 2bc + 3ca

Answer:

- 12k² + kl

Step-by-step explanation:

Given

7kl - 3k(4k + 2l) ← distribute parenthesis by - 3

= 7kl - 12k² - 6kl ← collect like terms

= - 12k² + kl

Answer:

Look below

Step-by-step explanation:

-x*3x*2x=6x^3

-6x^3<900

-(cube root both sides)

-6x<9.654893846

-divide by 6

-x=1.609148974

And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved

For given cuboid, x < 5

"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."

V = l × w × h

where, l: length of the cuboid

w: width of the cuboid

h: height of the cuboid

For given example,

We have been given the total volume of the cuboid is less than 900 cm^3

⇒ V < 900 cm³

the length of the cuboid (l) = 3x

the width of the cuboid (w) = 2x

the height of the cuboid (h) = x

Using the formula of the volume of the cuboid,

⇒ V < 900

⇒ l × w × h < 900

⇒ (3x) × (2x) × (x) < 900

⇒ 6x³ < 900

⇒ x³ < 150

⇒ x < 5.3

⇒ x < 5

Therefore, for given cuboid, x < 5

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Answer: 35.3

Step-by-step explanation:

Answer:

35.3

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

If you have parallel lines then the slopes are equal.

We know that slope for line m is 4.

So slope for line "n" is also 4

Answer:

x : __ - 2 __ -1 ___0 ___ 1 ___ 2 ___ 3

y: ___ 5___ 2___ 1 ___ 2____5 ___ - 3

Step-by-step explanation:

Table of values for part A

Equation : y = x² + 1

x : __ - 2 __ -1 ___0 ___ 1 ___ 2 ___ 3

y: ____ ___ ___ 1 __ ___5 __ - 3

Substitute the value of x to obtain the missing values _

x = - 2

y = (-2)² + 1 = 4 + 1 = 5

x = - 1

y = (-1)² + 1 = 1 + 1 = 2

x = 1

y = (1)² + 1 = 1 + 1 = 2

Answer:

Step-by-step explanation:

By closely observing the graph, we can see that the blue line of the graph meets both points, 2 gallons and 50 miles.

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