Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.

Answer:

  see attached

Step-by-step explanation:

The "slope-intercept" form of an equation for a line is ...

  y = mx + b . . . . . . slope m, y-intercept b; m = rise/run

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There are several ways to graph equations for a line. One is to make use of the intercepts. That is easiest when their coordinates are integer values. The second inequality is in slope-intercept form, so it is easy to see that its y-intercept is -2.

The first inequality can be put into slope-intercept form by solving for y. That is easily done here by subtracting 6x:

  y ≤ -6x +10

This shows you the boundary line has a slope of -6 and a y-intercept of 10. To graph it, you can plot the points (0, 10) and (1, 4) and draw a line through them. The point (1, 4) is found by using a "rise" of -6 and a "run" of 1 from the y-intercept:

  m = -6 = rise/run = -6/1

  (y-intercept) + (run, rise) = (0, 10) +(1, -6) = (1, 4) . . . . another point on the line

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Similarly, the boundary line of the second inequality goes through its y-intercept (0, -2) and the point (y-intercept) +(1, 5) = (1, 3). Points (0,-2) and (1, 3) are two points on that boundary line.

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In both cases, the inequality includes the "or equal to ..." case, so the boundary line is part of the solution set. Accordingly, each is drawn as a solid line (not dashed).

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To determine where the shading is, you can choose any term with a positive coefficient and look at where it is in relation to the inequality symbol. For your two inequalities, we can look at the left side of the inequality.

  first: 6x ≤

  second: y ≥

These tell you the first solution set is shaded to the left of the boundary line (where x-values are less than those on the line). The second solution set is shaded above the boundary line (where y-values are greater than those on the line). The solution set for the system of inequalities is the doubly-shaded area to the left of both boundary lines.

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Additional comment

The x-term in the second inequality has a positive coefficient also. If we were to look at that one, we would see ≥ 5x. That is, the boundary line has greater x-values than those in the solution set, so it, too, will be shaded to the left. (Left and above are the same half-plane for a line with positive slope.)

If both coefficients are negative, you can multiply by -1, which will also reverse the inequality symbol.

Example: -x-y>6 ⇒ x+y<-6; shaded left or below dashed line.

Answer:

C(t)=0.10t + 25

Step-by-step explanation:

gradient = change in y/ change in x = 5/50 = 0.10

the y intercept is 25

so the equation is y = 0.1t + 25

Answer:

[tex] \frac{1}{2} \: \: \: \: \: \frac{1}{4 \: } \: \: \: \frac{1}{8} [/tex]

[tex] \frac{4}{8} \: \: \: \frac{2}{8} \: \: \: \frac{1}{8} [/tex]

She ate

[tex] \frac{7}{8} [/tex]

Below!

The lines are not parallel because the slope is not the same for both equations. If a slope is the same with different y-intercepts, the two line will eventually be parallel. However, if a line has same slope and y-intercept, then there will be infinite solutions to the equation.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

i dont know sry

Step-by-step explanation:

Answer:

962

Step-by-step explanation: 30²- 6² is 962

Answer:

The last one

Step-by-step explanation:

A ratio table means that each number in the first column is multiplied by the same number to get the answer in the 2nd column

Step-by-step explanation:

He can choose the dispay boxes that are 0.5 in, 1/4 in, and 3/8 in

Hope this helps

May I get braineist pls?

Answer:

none , its 2  2/5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

it will be 3 because 4 3/5`s is 2 and 2/5 and 3 3/5`s is 1 and 4/5 hope that helped your question.

Answer:

The mode is 31

good luck naka

Answer:

2999

Step-by-step explanation:

There's a lot of possibilities bc it didn't mention any tens columns.

Answer:

B.

Step-by-step explanation:

It is not A because it does not make sense and does not match up.

It Is not C because that is just points and it is asking for a function.

D is wrong.

So It is B.

Here is the graph for B. It matches up.

[tex]\mathrm{Axis\:interception\:points\:of}\:2x-1:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-1\right)[/tex]

[tex]\mathrm{Slope\:of\:}2x-1:\quad m=2[/tex]

Answer:

I think this is what is wanted

Step-by-step explanation:

Answer:

  E  840 cm

Step-by-step explanation:

For a 20×20 grid, there will be 21 strands in the vertical direction, and 21 in the horizontal direction. Each strand wil be 20 cm long. The total length is ...

  (20 cm)(2 × 21) = 840 cm

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Additional comment

In this case, we take "similar" to mean that the grid squares are 1 cm, and the wire encloses a larger array of those squares.

In geometry, the term "similar" would mean the larger grid is simply a scaled-up version of the smaller one, with squares that are 20/3 cm, instead of 1 cm. The length of wire required in that case is (4+4)(20 cm) = 160 cm = (20/3)×(24 cm).

Answer:

4 Hours

Step-by-step explanation:

2 1/6 = 13/6

1 5/6 = 11/6

13/6+11/6= 24/6

Simplify 24/6 which will give you 4

Population are often modelled by exponential functions

The population will reach 1000000 people after 26.5 years

The population function is given as:

[tex]P(x) = 692600 \times 1.014^x[/tex]

When the population reaches 1000000 people, we have:

P(x) = 1000000

So, the equation becomes

[tex]1000000 = 692600 \times 1.014^x[/tex]

Divide both sides by 692600

[tex]1.444=1.014^x[/tex]

Take logarithm of both sides

[tex]log(1.444)=log(1.014)^x[/tex]

Apply logarithm to both sides

[tex]log(1.444)=xlog(1.014)[/tex]

Make x the subject

[tex]x = \frac{log(1.444)}{log(1.014)}[/tex]

Solve the logarithms of 1.444 and 1.014

[tex]x = \frac{0.15957}{0.00603}[/tex]

Divide

[tex]x = 26.5[/tex]

The value of x, is the number of years the population reaches 1000000 people.

Hence, the population will reach 1000000 people after 26.5 years

Read more about population at:

https://brainly.com/question/24581924

Answer:

Step-by-step explanation:

Answer:

6x +4=10

I think this is answer

Answer:

  b.  256 m²

  d.  324 cm²

  f.  35 in²

Step-by-step explanation:

The shaded area is the difference between the areas of the outer rectangle and the inner one:

  A = (24 m)(12 m) -(8 m)(4 m) = 288 m² -32 m² = 256 m²

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The steps are all the same height and width. Their height is (18 cm)/3 = 6 cm, so the height of the middle step is 2×6 cm = 12 cm. The area of the figure will be the product of the base and the average step height:

  A = (27 cm)(12 cm) = 324 cm²

You might be able to visualize this as cutting off the top step even with the middle on and placing it on top of the bottom step.

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The triangle area formula applies.

  A = 1/2bh = 1/2(4" +10")(5") = 35 in²

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Additional comment

The formula for area of a rectangle is ...

  A = LW . . . . . the product of length and width

This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)

Answer: C

Step-by-step explanation:

Step-by-step explanation:

I am sorry but I cannot see your question

Answer:

1/2 approximately 1/2......

Answer: C. (1/2)

Step-by-step explanation: You can see they split the box into 2 halves and one half is shaded so 1/2 is shaded you can also solve by 2/2 - 1/2 = 1/2

Answer:

C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection

Step-by-step explanation:

A. isn't correct because all four sides aren't congruent, only the pair of opposite sides are congruent. Sense only opposite side are congruent you can only reflect the opposite sides onto each other and not diagonally meaning B. and D. are incorrect leaving C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection as the correct answer

Hey there!

5x < -10

DIVIDE 5 to BOTH SIDES

5x/5 < -10/5

CANCEL out: 5/5 because it gives you 1

KEEP: -10/5 because it helps solve for the x-value

NEW EQUATION: x < -10/5

SIMPLIFY IT!

x < -2

It is an OPEN circle shaded to the RIGHT

Therefore, your answer should be:

Option A. x < -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

-3/4

Step-by-step explanation:

Answer:

3. The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:

These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:

1, 4, 9, 16, 25

The 3 answers are:

First, look at the difference between each of the terms.

[tex]4-1=3\\9-4=5\\16-9=7[/tex]

Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.

Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.

Answer:

300kms

Step-by-step explanation:

900÷300 is 300. so then i think it would be 300kms

answer ?

30 or 30W

Step-by-step explanation:

this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30

Answer: to number 1 :The area of the square increases by 96% to number 2:  increase in width = 50%

Step-by-step explanation