If x < -4, then -4 is a solution.
True
False

Answer: 60 square units

Area of a triangle formula: 1/2 * base * height

So, the height is 10 units and base is 12 units

1/2 * 10 * 12

= 60 square units

y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find equation of  the line that passes through the point (-8,3) and has a slope of -1/4

m=-1/4

Let us find y intercept

3=-1/4(-8)+b

3=2+b

b=1

Hence, y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

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Answer:

B. a×1

Step-by-step explanation:

This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication

Answer: IM only in midle school i think this is it 7(3e + 5)

Step-by-step explanation: f it is brainliest whe someone answers pls ps you next question ready

Answer:

My graph. I can practice that can help.

Answer:

[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

Step-by-step explanation:

[tex]128m^2n^5-200m^4n^3[/tex] <-- Given

[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²

[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³

[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8

[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares

Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

The surface area of the figure is the amount of area covered by the figure.

The figure is not given, so I will give a general solution.

The method followed by Brad to calculate the surface area of the prism is correct.

However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.

So, the conclusion is that:

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The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

[tex]A=6500(1.0175)^{4t}\\[/tex]

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

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Answer:

0=0 one solution minus three equal to zero no solution

Answer:

x ≤ -2

Step-by-step explanation:

its going towards numbers smaller than negative 2 so its less than. A closed circle dot means it includes the -2 so its less than or equal to

Answer:

B and 90%

Step-by-step explanation:

4500 = m•5000

m = 0.9 × 100%

90% of the books are fiction

Answer:

3 is the correct answer

u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here

4/(4/3) = 3

also 12/4 = 3

also 36 /12 = 3

hence the common ratio for this GP is 3

hope it helped

Step-by-step explanation:

[tex] \: \: [/tex]

Answer:

b. 2.34 x 10 ^-2

Step-by-step explanation:

0.0234 written as scientific notation is 2.349 x 10-2

Answer:

B

Step-by-step explanation:

The heaviest pig on the farm weighs 100 pounds

Answer: 114p

Step-by-step explanation:

Hope it helps

The values of "s" that belongs to the solution set must be less than 28.5

The inequality that represents the statement 4 times "s" less than 112 is expressed as;

Divide both sides of the inequality expression by 4 as shown:

4s/4 < 114/4

s < 114/4

s < 28.5

Hence the values of "s" that belongs to the solution set must be less than 28.5

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The volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³

The given diagram is made up of a rectangular prism and a triangular prism.

The volume of the shaded region = Volume of triangular prism - Volume of a rectangular prism.

Volume of triangular prism Vt = BH/3

Base area B = 0.5(5.7)(5)

Base area B = 14.25units²

Height = 4 units

Vt = 14.25 * 4

Vt = 57units³

Volume of the rectangular prism = l²h

Volume of the rectangular prism Vr = 1.7 * 1.7 * 4

Vr =  11.56units³

Volume of the shaded solid = Vt - Vr

Volume of the shaded solid = 57units³ - 11.56units³

Volume of the shaded solid = 45.4units³

Hence the volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³.

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Answer:

B

Step-by-step explanation:

Answer:

  (f·g)(x) = x³ -8x² +20x -16

Step-by-step explanation:

The distributive property is useful for this.

  (f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)

  = x(x² -6x +8) -2(x² -6x +8)

  = x³ -6x² +8x -2x² +12x -16

  (f·g)(x) = x³ -8x² +20x -16

_____

Additional comment

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

Solving for x :-

2x - 4y > 6

=》x - 2y > 3

=》x > 3 + 2y

Solving for y :-

2x - 4y > 6

=》x - 2y > 3

=》y < x - 3/2

■ See the attachment for the graph. Since you have not shared the graphs..any graph which looks like this in your question is the correct one.

____

Hope it helps ⚜

Answer:

Step-by-step explanation:

The first line is simply the sum of the two given numbers.

  3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

__

To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

  Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

  Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

  Y = 2; B = 3

__

The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

  Y = 2(2 1/4) = 4 1/2

  total = 5(2 1/4) = 11 1/4

__

The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

  B = 3(3 1/4) = 9 3/4

  total = 5(3 1/4) = 16 1/4

_____

The equation is the one we used to find the values on the second line:

  Y/B = 2/3

Answer:

min{5 x^2 - 20 x + 3} = -17 at x = 2

Step-by-step explanation: here's the graph

Answer:

A

Step-by-step explanation:

d = 1150 km = 1150 km / 1.61 miles = 714.29 miles

r = 55 mph

d / r = time

714.29 / 55 = 12.99 hours.

The closest time to that is 13 hours.

Answer:

2.22

Step-by-step explanation:

Answer:

D) y < 7

Step-by-step explanation:

So we have 2y < 14:

To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.

Hope this helps you :)