What is the solution to the inequality

Answer:

[tex]x = 7[/tex]

[tex]y =16[/tex]

Step-by-step explanation:

Given

The attached image

Required

Find x and y

From the sign on each line, we have:

[tex]y - 4 = x + 5[/tex]

[tex]2x + 5 = x + 12[/tex]

Collect like terms

[tex]2x-x=12 - 5[/tex]

[tex]x = 7[/tex]

We have: [tex]y - 4 = x + 5[/tex]

Substitute [tex]x = 7[/tex]

[tex]y - 4 = 7+5[/tex]

[tex]y - 4 = 12[/tex]

So:

[tex]y = 12+4[/tex]

[tex]y =16[/tex]

Answer:

x = 14

Step-by-step explanation:

Answer:

b)   x = -7

Step-by-step explanation:

x = -7 is a vertical line

vertical lines are parallel to the y axis

Answer:

The number of solutions to the given set of equations is 0.

Step-by-step explanation:

Number of solutions of a system of equations:

System of equations: ax = b

If a = 0 and b = 0, infinite solutions.

If a = 0 and b != 0, zero solutions.

If a != 0 and b != 0, one solution.

We are given the following system of equations:

y = 7x + 12

y = 7x + 2

So

7x + 12 = 7x + 2

7x - 7x = 2 - 12

0x = -10

a = 0, b != 0, so zero solutions.

The number of solutions to the given set of equations is 0.

9514 1404 393

Answer:

  60°

Step-by-step explanation:

You recognize the ratio of the long side to the short side as 2 : 1, so you know this is the 1 : √3 : 2 "special" triangle that has angles 30°, 60°, 90°. The angle of interest is opposite the longer side, so is the 60° angle.

  x° = 60°

_____

In case you don't remember the "special" 30-60-90 and 45-45-90 right triangles, you can use the relevant trig function:

  Cos = Adjacent/Hypotenuse

  cos(x°) = 16/32 = 1/2

  x° = arccos(1/2)

  x° = 60°

Answer:

should be C

Step-by-step explanation:

They are congruent

In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.

Answer:

The equation is [tex]t(n) = -4 + 4(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.

The general equation for an arithmetic sequence is:

[tex]t(n) = t(1) + d(n-1)[/tex]

Taking the mth term as reference, the equation can be written as:

[tex]t(n) = t(m) + d(n-m)[/tex]

t(4) = 8 and t(10) = 32

The common difference can be found:

[tex]t(n) = t(m) + d(n-m)[/tex]

[tex]t(10) = t(4) + d(10-4)[/tex]

[tex]6d = 24[/tex]

[tex]d = \frac{24}{6} = 4[/tex]

So

[tex]t(n) = t(1) + 4(n-1)[/tex]

Finding the first term:

[tex]t(4) = t(1) + 4(n-1)[/tex]

So

[tex]t(1) = t(4) - 12 = 8 - 12 = -4[/tex]

So

The equation is [tex]t(n) = -4 + 4(n-1)[/tex]

Answer:

[tex]n(t) = 400 + 40 t[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] --- initial

[tex]r = 40[/tex]  --- rate

Required

Write in mathematical notation

Using mathematical notation,in terms of n.

The given parameters can be rewritten as

[tex]n(0) = a[/tex]

[tex]n(0) = 400[/tex]

and

[tex]\frac{dn}{dt} = r[/tex]

[tex]\frac{dn}{dt} = 40[/tex]

The mathematical notation can be determined using:

[tex]n(t) = n(0) + \frac{dn}{dt} * t[/tex]

So, we have:

[tex]n(t) = 400 + 40 * t[/tex]

[tex]n(t) = 400 + 40 t[/tex]

Answer:

6.3 billion people

Step-by-step explanation:

[tex]A=5(1.03)^t[/tex]

The "base year" is 1987 when there were 5 billion people.  That year corresponds to  t = 0  (t measures years after 1987)

That makes 1995 = 1995 - 1987 = 8, so t = 8.

Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]

Answer:

-3

Step-by-step explanation:

(-6)/(+2)

-6/+2

-3

Answer:

C. -3

Step-by-step explanation:

If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.

Where's the system? I can't answer your question without it.

Answer:

627.

Step-by-step explanation:

32 x 10 = 320

27 x 9 = 243

16 x 4 = 64

add them up to get 627

I hope this helps!

Answer:

Find answers below.

Step-by-step explanation:

The question isn't so complete but I would have to improvise so as to assist you.

Therefore, let's assume the values given are diameters of the circle.

However, if it's the radius, you'll just have to use the formula 2πr.

Given the following data;

Pie, π = 3.14

1. Diameter = 15 cm

Mathematically, the circumference of a circle (C) with diameter (D) = πD

C = 3.14 * 15

C = 47.1 cm

2. Diameter = 34 inches

C = 3.14 * 34

C = 106.76 inches

3. Diameter = 300 mm

C = 3.14 * 300

C = 942 mm

4. Diameter = 20 cm

C = 3.14 * 20

C = 62.8 cm

5. Diameter = 62 cm

C = 3.14 * 62

C = 194.68 cm

Answer:

[tex]sum = \frac{n}{2} (2a + (n - 1)d) \\ = \frac{50}{2} ((2 \times 18) + (50 - 1) \times 3) \\ = 25(36 + 147) \\ = 25 \times 183 \\ sum = 4575[/tex]

Answer:

a. reflection across one of the lines of symmetry of the figure.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.

Answer:

Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.

Step-by-step explanation:

2 × 5 = 10

3 × 5 = 15

5 × 5 = 25

Answer:

28.3

Step-by-step explanation:

the formula for area is πr²

where π is 3.14

r is 3

area= 3.14 x 3²

area= 3.14 x 9

area= 28.28 approximately 28.3

Answer:

I believe it would be D

Step-by-step explanation:

Since it implies that if A is true, then B is true, it would be D.

"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.

Hence my choice of D.

Answer:

consider r to be x. and t to be y

[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]

Answer:

a) G    

b) C

Step-by-step explanation:

Answer:

x would be 6

Step-by-step explanation:

This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.

Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:

x * 0.25 = 1.5

x * 0.25 (4) = 1.5 (4)

x * 1 =6

x = 6

Answer:

y=x

Step-by-step explanation:

Given:

The box-and-whisker plot of a date set.

To find:

The median of the data represented on the box-and-whisker plot.

Solution:

In a box-and-whisker plot of a data set, the line inside the box represents the median of the data set.

In the given box-and-whisker plot, it is clear that the there is a line inside the box at 45. It means the median of the data represented on the box-and-whisker plot is 45.

Therefore, the correct option is C.

Answer:

C. 45

I got it right on my assignment

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Answer:

115°

Step-by-step explanation:

x =180-65=115°

------

Nikki swam 375 yards on Thursday.

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.

Given

Nikki swam 375 yards on Thursday.

425+450+350= 1,225

1,600- 1,225= 375

To learn more about addition refer to:

https://brainly.com/question/4721701

#SPJ2

Answer:

1.) Subject = 18  Aquariums each with mussel

2.) Factors(levels) = temperature(3 levels) and salinity (2 levels)

3.) Treatment = High salinity high temperature ; High salinity low temperature ; High Salinity medium temperature ; Low salinity Low temperature ; Low salinity, High temperature ; Low salinity Medium temperature.

4.) Response variable = size of mussel produced

5.) Random assignment will help prevent the introduction of bias and confounding variable.

6.) For replication purpose, Each of the six treatment could be assigned to 3 tanks, so 3 aquarium for one treatment.

7.) By doing such we might be a possible location based effect which might might creep into our research. Hence, causing a spurious relationship.

8.) A control experiment whereby no salt is added will cause the mussel to die as they require salt to survive.

Step-by-step explanation:

Answers are Explanatory.