6.

Write the linear inequality shown in the graph. The gray area represents the shaded region.


A. y ≥ –3

B. y > –3

C. x ≥ –3

D. x > –3

Answer:

it will decrease

Step-by-step explanation:

if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down

Answer:

It will decrease

Step-by-step explanation:

There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.

I think this is the answer.

Answer:

17/12 or 1 5/12

Step-by-step explanation:

You need to make the denominators the same, the common denominator is 12. In the end, they become 9/12 and 8/12. ad those to you get 17/12 or 1 5/12. Was this helpful?

Answer:

=17/12

Step-by-step explanation:

Get a common denominator between the two fractions.

Common denominator will be 12

Multiple 2/3 by 4 (top and bottom) to get 8/12

Multiply 3/4 by 3 (top and bottom) to get  9/12

Add the numerators of both fractions (8+9=17)

final fraction is 17/12 (denominator stays the same)

Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

Answer:

C: 7.0

Step-by-step explanation:

We are told that; 0|5| means 50 and that |4|8 means 48. Thus;

Temperatures for baker city are;

49, 46, 43, 55, 53, 50, 61

Temperatures for felina are;

48, 54, 54, 58, 62, 63, 67

Thus;

Mean temperature of baker city = (49 + 46 + 43 + 55 + 53 + 50 + 61)/7 = 51°F

Mean temperature of Felina = (48 + 54 + 54 + 58 + 62 + 63 + 67)/7 = 58°F

Thus, difference between the 2 mean = 58°F - 51°F = 7.0°F

Answer:

D. 23/27

Step-by-step explanation:

The good news is, they wrote out all the possible options for you.

There are 27 possibilities in all, so that's our denominator.

They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.

Then, of the remaining 18, 14 include a W somewhere in there.

9 + 14 = 23 out of 27.

We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.

Please let me know if you have questions about this.

Answer:

A) -33 is yr answer.

Answer:

A) [tex] - 33[/tex]

Step-by-step explanation:

[tex][{(−4+3) \times (4+2)−5} \times 3][/tex]

[tex]{[−1 \times (4+2)−5} \times 3][/tex]

[tex](−1 \times 6−5) \times 3[/tex]

[tex](−6−5) \times 3[/tex]

[tex]−11 \times 3[/tex]

[tex] - 33[/tex]

Answer:

No they do not.

Step-by-step explanation:

For it to form a proportion it needs to be 3/7 and 9/21 not 12/21.

Answer:

Leading coefficient is the coefficient of the highest power of x.

[tex]x^5[/tex] is the highest power.

Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]

Option D

Answer:1/4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

6+(-14)

=6+-14

= -8

(Number Line Is Available Just In Case)

9514 1404 393

9514 1404 393

Answer:

  a)  P = -28(x -112)² +7500

  b) $102.55 or $121.45

Step-by-step explanation:

a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...

  P = a(x -112)² +7500

The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.

  -7312 = a(89 -112)² +7500

  -14812 = a(529)

  a = -14812/529 = -28

So, the desired quadratic relation is ...

  P = -28(x -112)² +7500

__

b) The values of x that make P = 5000 can be found from ...

  5000 = -28(x -112)² +7500

  -2500 = -28(x -112)² . . . . . . . . subtract 7500

  89.286 = (x -112)² . . . . . . . . . . . divide by -28

  ±9.45 = x -112 . . . . . . . . . . take the square root

  x = 112 ± 9.45 = {102.55, 121.45}

Setting the price at about $102.55, or $121.45, will yield a profit of $5000.

Given:

Chang ran three times last week. The distances he ran (in kilometers) are 4, 8.36, 18.9.

To find:

The total distance Chang ran on these three days.

Solution:

It is given that the distances he ran (in kilometers) are 4, 8.36, 18.9.

We need to add these three distances to get the total distance Chang ran on these three days.

[tex]4+8.36+18.9=31.26[/tex]

Therefore, the total distance Chang ran on these three days is 31.26 kilometers.

Answer:

It's B

Step-by-step explanation:

B makes the most sense to me

Step-by-step explanation:

V = l.W.H

3(5)(4) = 60 units

The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.

Given that, we need to determine the correct calculation for the volume of the prism,

We know that, the volume of a rectangular prism is the  product of its dimensions = length x width x height

Therefore, the correct formula is 3(5)(4) = 60 units

Hence, the correct option is 3(5)(4) = 60 units

Learn more about volumes, click;

https://brainly.com/question/24086520

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Answer:

5= - 7/6

Hope this helps

slope = "rise over run"  (the change in y coordinates divided by the change in x coordinates) =

(8--7)/(3-7) = 15/-4 = -15/4

Answer:

b = 4[tex]\sqrt{3}[/tex] , c = 8

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{c}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

c = 8

Using Pythagoras' identity in the right triangle

b² + 4² = 8²

b² + 16 = 64 ( subtract 16 from both sides )

b² = 48 ( take the square root of both sides )

b = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = 4[tex]\sqrt{3}[/tex]

Answer:

OK THIS IS A BIGGY....c = 8

Step-by-step explanation:

First, find b.

using the pythagorean theorem, a² + b² = c²

to find b using an angle, do b = √(c² - a²)

then, b = a * tan(β)

(β is the angle 30°)

So, b = 6.928

Then, plug it into the pythagorean theorem

4² + 6.928² = c²

16 + 47.997184 = c²

63.997184 = c²

√63.997184 = √c

c = 7.99982399806

Rounded is 8 :)

Hope this helps! Please mark as brainliest :)

Answer:

a

Step-by-step explanation:

Given:

The equation of parallel line is:

[tex]3x-2y=5[/tex]

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).​

To find:

The equation of required line.

Solution:

Midpoint of  line segment joining the points (-4,2) and (2,4) is:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-1,3\right)[/tex]

It means the required line passes through the point (-1,3).

The slope of line [tex]Ax+By=C[/tex] is:

[tex]m=\dfrac{-A}{B}[/tex]

The given equation is:

[tex]3x-2y=5[/tex]

Here, A=3 and B=-2. So, the slope of the line is:

[tex]m=\dfrac{-3}{-2}[/tex]

[tex]m=1.5[/tex]

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=1.5(x-(-1))[/tex]

[tex]y-3=1.5(x+1)[/tex]

[tex]y-3=1.5x+1.5[/tex]

Adding 3 on both sides, we get

[tex]y=1.5x+1.5+3[/tex]

[tex]y=1.5x+4.5[/tex]

Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].

Answer:

There are 150 blue marbles in Alex's bag.

Step-by-step explanation:

Let [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:

Initial ratio

[tex]\frac{x}{y} = \frac{6}{10}[/tex] (1)

[tex]\frac{y}{z} = \frac{10}{15}[/tex] (2)

Final ratio

[tex]\frac{x + 10}{z - 25} = \frac{1}{2}[/tex] (3)

After some algebraic handling we get the following system of linear equations:

[tex]x - \frac{3}{5}\cdot y = 0[/tex] (1)

[tex]y - \frac{2}{3}\cdot z = 0[/tex] (2)

[tex]2\cdot (x + 10) = z - 25[/tex]

[tex]2\cdot x +20 = z - 25[/tex]

[tex]2\cdot x - z = -45[/tex] (3)

The solution of the system of linear equations is:

[tex]x = 90[/tex], [tex]y = 150[/tex], [tex]z = 225[/tex]

There are 150 blue marbles in Alex's bag.

Answer:

60

27.5

9.5

Step-by-step explanation:

Recall that: D/2 = r

Therefore 120cm÷2 = 60cm

35m÷2 = 27.5m

19km÷2 = 9.5km

Given:

The figure of a triangle.

To find:

The measure of angle 1.

Solution:

Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

Using Exterior angle theorem, we get

[tex]101^\circ =31^\circ +m\angle 1[/tex]

[tex]101^\circ -31^\circ =m\angle 1[/tex]

[tex]70^\circ =m\angle 1[/tex]

Therefore, the measure of angle 1 is 70 degrees.

Answer: 62 ft^2

Step-by-step explanation: LxW=228. 12w=228. W=19. 19+19+12+12=62

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

Answer:

The median is 8

Step-by-step explanation:

Hope this helps

Answer:

$4,370

Step-by-step explanation:

170(21)= $3,570

3,570+800= $4,370

Answer:

[tex]Pr = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice

[tex]n(S) = 6[/tex]

Required

Pr(Multiple of 8)

The multiples of 8 in the given dataset are:

[tex]Multiples = \{1.,2,4\}[/tex]

[tex]n(Multiples) = 3[/tex]

So, we have:

[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]

[tex]Pr = \frac{3}{6}[/tex]

Simplify

[tex]Pr = \frac{1}{2}[/tex]

Answer:

16. -16    17. 15

Step-by-step explanation:

16. Plug in the numbers based on the equation.

-3^2+-2(-3+2)-3^2 = 2

17. Add up the lengths to get the perimeter.

2+2+2+6+3 = 15