Which number is a solution of the inequality?

8< x ( 7- x)
A. 2
B. 8
C. –1
D. 0

9514 1404 393

Answer:

D. [3 1 | -9]

   [ 1 5 | 16]

Step-by-step explanation:

The matrix of B represents the coefficients of the variables. It would generally be part of a matrix equation:

  [tex]\left[\begin{array}{cc}3&1\\1&5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}-9\\16\end{array}\right][/tex]

However, the entire system of equations can be represented by the augmented matrix ...

  [tex]\left[\begin{array}{cc|c}3&1&-9\\1&5&16\end{array}\right] \qquad\textbf{matches D.}[/tex]

Answer: No, there isn't a proportional relationship.

Step-by-step explanation: In these type of problems, always divide. For it to be proportional, the number of children/ apple slices should be the same for all days. But it isn't, the value differs.

Answer:

3:2 is the proportional relationship

Step-by-step explanation:

Answer:

On average, she digs 45 plants per week

Step-by-step explanation:

Here, we have the number of plants dug in every saturday for three weeks

we now want to get the average of the three weeks

We proceed to add up all what has been dug in the three weeks and divide by 3

Mathematically, that would be;

(42 + 60 + 33)/3 = 135/3 = 45

Answer:

a

Step-by-step explanation:

6-2x=4x

-2x-4x= -6

-6x= -6/(-6)

x=1

the only one that has a number with out an x

Answer:

A and x=1

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Answer:

y = 3x -21

Slope intercept form: y = mx + b

m (slope) = 3

B = - 21

Stay safe and Merry Christmas! :)

Answer: a or b on edge

Step-by-step explanation:

It’s either those

Answer:option 2

Step-by-step explanation:

Answer:

im pretty sure its option number 2

Answer:

in step by step

Step-by-step explanation:

Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.

The formula for distance problems is: distance = rate × time or d = r × t.

Things to watch out for:

Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.

It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.

Distance Problems: Given Total Time

Example:

John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?

Solution:

Step 1: Set up a rtd table.

r

t

d

Case 1

Case 2

Step 2: Fill in the table with information given in the question.

John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?

Let t = time to travel to town.

7 – t = time to return from town.

r

t

d

Case 1

40

t

Case 2

30

7 – t

Step 3: Fill in the values for d using the formula d = rt

r

t

d

Case 1

40

t

40t

Case 2

30

7 – t

30(7 – t)

Step 4: Since the distances traveled in both cases are the same, we get the equation:

40t = 30(7 – t)

Use distributive property

40t = 210 – 30t

Isolate variable t

40t + 30t = 210

70t = 210

210/70

Step 5: The distance traveled by John to town is

40t = 120

The distance traveled by John to go back is also 120

So, the total distance traveled by John is 240

Answer: The distance traveled by John is 240 miles.

Answer:

D.....

Step-by-step explanation:

all real number

Answer:

D

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Answer:

There is two ounces of water for every ounce of vegetables.

Step-by-step explanation:

Given that:

Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.

Ratio is defined as the quantitative relation between two numbers.

We will use ratio to compare the amount of water to amount of vegetables.

Ratio of water to vegetables

16 : 8

Dividing by 8

[tex]\frac{16}{8}:\frac{8}{8}[/tex]

2:1

Hence,

There is two ounces of water for every ounce of vegetables.

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

[tex]\dfrac{35}{7}=5[/tex]

[tex]\dfrac{70}{14}=5[/tex]

[tex]\dfrac{105}{21}=5[/tex]

[tex]\dfrac{140}{28}=5[/tex]

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

[tex]\dfrac{y}{x}=k[/tex]

Here, k=5.

[tex]\dfrac{y}{x}=5[/tex]

[tex]y=5x[/tex]

Hence the rate of change is constant that is 5.

Answer:

12

Step-by-step explanation:

Let the unknown number be x.

8 = -4(1) + x

8 = -4 + x

x - 4 = 8

x = 8 + 4

x = 12

Answer:

[tex]a_{n}[/tex] = - 4n + 12

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then

[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12

Answer:

(11, 18) or x = 11, y = 18

Step-by-step explanation:

I've deduced that equation 1 is y = x + 7 (just by the pattern)

and the second one is y = 26.25 - 0.75x

Solving this system of equations you get x = 11 and y = 18

Answer:

x = 11 and y = 18

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

2sqaured + 24

Step-by-step explanation:

Answer:

Original Cost: $76

Fee: 7.5%

Take 7.5% of 76 (76 times .075)  and add the result to the original amount $76

So, 76 times .075= 5.7

5.7+76= 81.7

Step-by-step explanation:

Answer:

pretty sure its c

Step-by-step explanation:

Answer:

If you were to factor this inequality the answer would be

-6(4p+15)

If you were to simplify this inequality the answer would be

-24p-90

I don't really know how your question is set up or how your teachers teach this but here are two possible answers. I hope this helps

Answer:

C. 23

Hope your grade raises

Step-by-step explanation:

c

Answer:

18 servings

Step-by-step explanation:

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

Answer:no graph is shown below

Step-by-step explanation:

But since is no solution they can't have the same slope.

Answer:

Step-by-step explanation:

6x-6+35 = 3x+29

6x - 3x = 29-29

3x = 0

x=0

Answer:

76.3 degrees

Step-by-step explanation:

We use inverse cosine to find the angle.

arccos(1.9/8) = 76.26 deg