What is the final step in solving the inequality -2(5 - 4x)
6x – 4?
Step 1 -10 + 8x < 6x-4
Step 2: -10 <-2x - 4
Step 3: -6<-2x
Step 4
O X<-3
0 x>-3
0 x<3
© x>3
VAVA

Answer:

B and E

Step-by-step explanation:

The remote interior angles to ∠1 are the 2 opposite interior angles, that is

∠5 and ∠6

Answer:

17x

Step-by-step explanation:

combine like terms,you would end up with 20x because if you combine 3x and 2x=5 then 5x+15x is 20x.then 20x-3 is 17x.

Answer:

The GCF of 42 and 60 is 6

Step-by-step explanation:

42: 1,2,3,6,7,14,21,42

60: 1,2,3,4,5,6,10,12,15,20,30,60

Answer:

6

Step-by-step explanation:

Factors of 42 = 1, 2, 3, 6, 7, 14, 21 and 42

Factors of 60 = 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 30 and 60

The highest factor which comes in both 42 and 60 is 6

Answer: The last one

Step-by-step explanation:

I think this because the graph starts from H the number of hours studied and when u add the numbers and divide them up which gives you the equation 65 + 50 . Any questions please text me. Have a nice day.

Answer: [tex]36z^2+12z-21[/tex]

Step-by-step explanation:

 You need to remember the multiplication of signs:

[tex](+)(+)=+\\(+)(-)=-\\(-)(-)=+[/tex]

In order to simplify the given the expression:

 [tex](11z^2+4z-6)+(4z-7+12z^2)+(-8+13z^2+4z)[/tex]

You must distribute signs:

[tex]=11z^2+4z-6+4z-7+12z^2-8+13z^2+4z[/tex]

And finally, you must add the like terms:

[tex]=36z^2+12z-21[/tex]

Answer:

huifytyjctrxrtfygvjhk

Step-by-step explanation:

yeah he is right

Answer:

The sides are equal to

x=6.9 ft and y=39.4 ft

Step-by-step explanation:

step 1

Find the adjacent side to the angle of 80 degrees

Let

x ----> the adjacent side to the angle of 80 degrees

we know that

The function cosine of angle of 80 degrees is equal to divide the adjacent side to the angle of 80 degrees by the hypotenuse (40 ft)

cos(80°)=x/40

x=(40)cos(80°)

x=6.9 ft

step 2

Find the opposite side to the angle of 80 degrees

Let

y ----> the opposite side to the angle of 80 degrees

we know that

The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees by the hypotenuse (40 ft)

sin(80°)=y/40

y=(40)sin(80°)

y=39.4 ft

Answer:

There are 925 in half of a year

There are 1321 in 2 years

There are 8838 in 10 years

Step-by-step explanation:

* Lets revise the exponential function

- The original exponential formula was y = ab^x, where a is the initial

 amount and b is the growth factor

- The new growth and decay functions is y = a(1 ± r)^x. , the b value

 (growth factor) has been replaced either by (1 + r) or by (1 - r).

- The growth rate r is determined as b = 1 + r

* Lets solve the problem

∵ The number of fish is growth every month

∴ We will use the growth equation y = a(1 + r)^x, where a is the initial

  amount of the fish, r is the rate of growth every month and x is the

  number of months

- There are 821 of a type of fish

∴ The initial amount is 821 fish

∴ a = 821

- Their growth rate is 2% each month

∴ The rate of growth is 2% per month

∴ r = 2/100 = 0.02

- We want to find how many of them be in half year

∵ There are 6 months in half year

∴ y = 821(1 + 0.02)^6

∴ y = 821(1.02)^6 = 924.58 ≅ 925

* There are 925 in half of a year

∵ There are 24 months in 2 years

∴ y = 821(1 + 0.02)^24

∴ y = 821(1.02)^24 = 1320.53 ≅ 1321

* There are 1321 in 2 years

∵ There are 120 months in 10 years

∴ y = 821(1 + 0.02)^120

∴ y = 821(1.02)^120 = 8838.20 ≅ 8838

* There are 8838 in 10 years

the standard form is g(x)=x^2+2x-1

Answer:

=1050 wildebeests

Step-by-step explanation:

We can form an arithmetic series for the wildebeest migration.

Sₙ=n/2(2a+(n-1)d) where  n is the number of terms, d is the common difference and a is the first term.

a=24

n=20

d=3

Sₙ=(20/2)(2(24)+(20-1)3)

Sₙ=10(48+57)

=1050 wildebeests

Answer:

A.  square pyramid

Step-by-step explanation:

A square pyramid has a triangular cross section when the cross section is taken perpendicular to the base.

The solid that has a triangular cross section when the cross section is taken perpendicular to the base is a square pyramid. A cross section through the sloping triangular faces of the square pyramid will reveal a triangular shape.

To answer this, consider the properties of each option:

A square pyramid has a square base and triangular faces that meet at a common point above the base, resembling a series of tetrahedra joined together. When a cross section is taken perpendicular to its square base, it would indeed reveal a triangle shape as it would pass through these sloping triangular faces.

A cube would not result in a triangular cross section since it has all square faces.

A hexagonal prism has a hexagon as its base, and taking a cross section perpendicular to this base would yield a hexagon, not a triangle.

Similarly, a rectangular prism would result in a rectangle or square from such a cross section.

Therefore, the correct answer is a square pyramid.

Answer:

C

Step-by-step explanation:

if u try and find the median you get 50.5 because it is the middle of 50 (fourth term) and 51 (fifth term) and only c has the correct median

Answer:

A. True.

Step-by-step explanation:

For example,  the results of throwing a fair dice. The variable can only be 1,2,3,4,5,6.

Answer: True

A P E X

A discrete randem variable is a variable that is randomly chosen and can only take on certain values.

Answer:

7 days

Step-by-step explanation:

Five men do 200 yards in one day

One man does 200/5 = 40 yards in 1 day.

=============

Now you want to know something about 8 men

8 men can do 40 * 8 = 320 yards in 1 day

=============

2240 yards / 320 yards = 7 days

Answer:

Option B.

Step-by-step explanation:

We have the following polynomial: -10x^2+12x-9=0

Multiplying by -1:

10x^2-12x+9=0

Using the quadratic formula, we find that the roots are:

0.6 ± 3√(6)/10i

Therefore, the correct answer is B.

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-10-6}{-2-2}\implies \cfrac{-16}{-4}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-6=4(x-2) \\\\\\ y-6=4x-8\implies y=4x-2[/tex]

Answer:

y = 4x - 2.

Step-by-step explanation:

The slope is  difference in y values  / difference in x values

= (6 - -10) /  (2 - -2)

= 16 / 4

= 4.

Using the point-slope form of a line

y - y1 = m(x - x1)  where m = slope and (x1, y1) is a point on the line, we have:

y - 6 = 4(x - 2)

y = 4x - 8 + 6

y = 4x - 2.

Answer:

d (last choice)

Step-by-step explanation:

The explicit form of a geometric sequence is [tex]a_n=a_1 \cdot r^{n-1}[/tex] where [tex]a_1[/tex] is the first term while [tex]r[/tex] is the common ratio.

We are given the first term [tex]a_1=47[/tex].

We are given the sixth term [tex]a_6=-789929[/tex].

If we divide 6th term by 1st term this is the result:

[tex]\frac{a_1 \cdot r^5}{a_1 }=\frac{-789929}{47}[/tex]

Simplify both sides:

[tex]r^5=-16807[/tex]

Take the fifth root of both sides:

[tex]r=-7[/tex]

The common ratio is -7.

So all we have to do is start with the first term and keep multiplying by -7 to get the other terms.

[tex]a_1=47[/tex]

[tex]a_2=47(-7)=-329[/tex]

[tex]a_3=47(-7)^2=2303[/tex]

[tex]a_4=47(-7)^3=-16121[/tex]

[tex]a_5=47(-7)^4=112847[/tex]

[tex]a_6=47(-7)^5=-789929[/tex]

The terms -329,2303,-16121,112847 are what we are looking for in our choices.

That's the last choice.

Answer:

[tex]4x^2+20x+25[/tex] square units

Step-by-step explanation:

We are given that side of a square has the dimension [tex]s = 2x + 5[/tex] and using this, we are to write an expression for the area of this square.

We know that the formula of area of a square is given by:

Area of square = [tex]s^2[/tex]

So substituting the given value in the above formula to get:

Area of square = [tex](2x+5)^2 = (2x+5)(2x+5) = 2x(2x)+2x\times5+5(2x)+5\times5 = 4x^2+20x+25[/tex] square units

Answer:

[tex]A = 4x ^ 2 + 20x +25[/tex]

Step-by-step explanation:

Remember that all sides of a square have the same length. Therefore, the Area of a square is defined as:

[tex]A = s ^ 2[/tex]

Where s is the length of the sides of the squares.

In this case we know that the length of the sides is:

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

So the area is:

[tex]A = (2x +5) ^ 2[/tex]

We develop the expression and we have left that the area is:

[tex]A = 4x ^ 2 + 20x +25[/tex]

Answer:

A BT = CT

Step-by-step explanation:

BAT ≅ CAT

That means

The angles are the same and the sides are the same by CPCTC

AB = AC

CT = BT

AT=AT

and

< BAT = <CAT

< ATB = <ATC

< TBA = <TCA

Given the choices on the left

A BT = CT is one of them

Replace n in the equation with each given value and solve for m.

You are given n = {-2, 1, 4}

When n = -2:

3m = -2-7

3m = -9

m = -9/3

m = -3

When n = 1:

3m = 1-7

3m = -6

m = -6 /3

m=-2

When n = 4:

3m = 4-7

3m = -3

m = -3/3

m = -1

m = {-3, -2, -1}

Answer:

12 km

Step-by-step explanation:

So the situation is:

8 km/h for X hours

6 km/h for y hours

X * 8 + y * 6 = 26.4

and X + Y = 3.9 hours

Since 234/60 = 3.9 hours

You could write that X = 3.9 - Y

(3.9-Y) * 8 + y * 6 = 26.4

31.2 -8Y +6Y = 26.4

-2Y = -4.8

Y = 2.4 hours

X = 3.9-2.4 = 1.5 hours

So 1.5 * 8 = 12 km

Answer:

AB = 12km

Step-by-step explanation:

From the question we can get the following information,

The whole trip is 26.4 km and 3.9 hours ([tex]\frac{234}{60}[/tex]), and we can form the following two equations.

[tex]x + y = 3.9[/tex]   and [tex](x*8km/h) + (y*6km/h) = 26.4km[/tex]

Where X is distance between A and B, and Y is distance between B and C. We can solve the first equation for X and plug X into the second equation.

[tex]x = 3.9 - y[/tex]  ........   and we can plug it into the the second equation and solve for y

[tex]((3.9-y)*8)+(6y) = 26.4[/tex]

[tex](31.2-8y)+6y = 26.4[/tex]

[tex]31.2-2y = 26.4[/tex]

[tex]-2y = -4.8[/tex]

[tex]y = 2.4[/tex]

Now we can plug in y to the first equation to solve for x

[tex]x = 3.9-2.4[/tex]

[tex]x = 1.5[/tex]

Finally, we can multiplay 8km/h by 1.5 hours to find the distance from A to B

[tex]AB = 8km/h * 1.5h[/tex]

[tex]AB = 12km[/tex]

[tex]\bf (\stackrel{x_1}{x}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-9)}{0-x}=\stackrel{\stackrel{slope}{\downarrow }}{-4}\implies \cfrac{1+9}{-x}=-4 \\\\\\ \cfrac{10}{-x}=-4\implies 10=4x\implies \cfrac{10}{4}=x\implies \cfrac{5}{2}=x[/tex]

Answer:

s is neding some more in fo

Step-by-step explanation:

Answer:

x³ - 3x² - 13x + 15

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 6x + 5) + 3(x² - 6x + 5) ← distribute both parenthesis

= x³ - 6x² + 5x + 3x² - 18x + 15 ← collect like terms

= x³ - 3x² - 13x + 15

Answer:

Step-by-step explanation:

First we will solve the Left Hand Side:

(x-2)(-5x²+x)

Multiply the terms:

= -5x³+x²+10x²-2x

Solve the like terms

= -5x³+11x²-2x

Now we will solve the Right Hand Side:

(x)(-5x²)+(x)(x)+(-2)(-5x²)+(-2)(x)

Multiply the terms:

-5x³+x²+10x²-2x

Solve the like terms:

-5x³+11x²-2x

Hence it is proved that L.H.S = R.H.S....

Answer:

a) The length of the mid-segment  is 6.25 cm

b) The length of AT = 33 units

c) The value of x is 3

Step-by-step explanation:

a)

* Lets explain the mid-segment of a triangle

- A mid-segment of a triangle is a segment connecting the midpoints

 of two sides of a triangle

- This segment has two special properties

# It is parallel to the third side

# The length of the mid-segment is half the length of the third side

∵ The triangle is equilateral triangle

∴ All sides are equal in length

∵ the side lengths = 12.5 cm

∵ The length of the mid-segment = 1/2 the length of the third side

∴ The length of the mid-segment = 1/2 × 12.5 = 6.25 cm

* The length of the mid-segment  is 6.25 cm

b)

∵ UT is a perpendicular bisector of AB

∵ T lies on AB

∴ T is the mid-point of AB

∵ AT = BT

∵ AT = 3x + 6

∵ BT = 42 - x

- Equate AT and BT

∴ 3x + 6 = 42 - x

- Add x to both sides

∴ 4x + 6 = 42

- Subtract 6 from both sides

∴ 4x = 36

- Divide both sides by 4

∴ x = 9

∵ AT = 3x + 6

- Substitute x by 9

∴ AT = 3(9) + 6 = 27 + 6 = 33

* The length of AT = 33 units

c)

- In Δ ABC

∵ AB = BC

∴ Δ ABC is an isosceles triangle

∵ BD bisects angle ABC

- In the isosceles Δ the bisector of the vertex angle bisects the base

 of the triangle which is opposite to the vertex angle

∵ AC is the opposite side of the vertex B

∴ BD bisects the side AC at D

∴ AD = CD

∵ AD = 5x + 10

∵ CD = 28 - x

∴ 5x + 10 = 28 - x

- Add x to both sides

∴ 6x + 10 = 28

- Subtract 10 from both sides

∴ 6x = 18

- Divide both sides by 6

∴ x = 3

* The value of x is 3

The true statements are:

a) The length of the midsegment  is 6.25 cm

b) The length of AT = 33 units

c) The value of x is 3

The length of the midsegment

The length of the triangle is given as

L =12.5cm

So, the length of the midsegment is:

M = 0.5 * L

This gives

M = 0.5 * 12.5 cm

M = 6.25 cm

Hence, the length of the midsegment  is 6.25 cm

The length of AT

The given parameters are:

AT = 3x + 6 and TB = 42 - x.

Since point T is the perpendicular bisector, then we have:

3x + 6 = 42 - x

Collect like terms

3x +x = -6 + 42

Evaluate

4x = 36

Divide both sides by 4

x = 19

Recall that:

AT = 3x + 6

So, we have:

At = 3 * 9  + 6

At = 33

Hence. the length of AT = 33 units

The value of x

We have:

AD = 5x + 10

DC = 28 - x

So, we have:

5x + 10 =28 - x

Collect like terms

5x + x = 28 -10

6x =18

Divide

x =3

Hence, the value of x is 3

Read more about lengths at:

https://brainly.com/question/19819849

Answer:

A) 7.07

Step-by-step explanation:

[tex]The \: distance \: formula = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1) ^{2} } [/tex]

[tex]P_1(-3, -2) \: \: \: \: \: \: \: \: \: \: \: P_2(2, 3)[/tex]

[tex]d = \sqrt{ {(2 - ( - 3))}^{2} + {(3 - ( - 2))}^{2} } \\ d = \sqrt{ {(2 + 3)}^{2} + {(3 + 2)}^{2} } \\ d = \sqrt{ {5}^{2} + {5}^{2} } \\ d = \sqrt{25 + 25} \\ d = \sqrt{25(1 + 1)} \\ d = \sqrt{25(2)} \\ d = \sqrt{25} \times \sqrt{2} \\ d = 5 \sqrt{2} \\d = 7.07106781187 \\ d = 7.07[/tex]

Answer:    A. 7.07 units

Step-by-step explanation:

The distance between any two points (a,b) and (c,d) is given by :-

[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]

From the given picture , we can see that the line is passing through (2,3) and (-3,-2).

The distance between (2,3) and (-3,-2) is given by :-

[tex]D=\sqrt{(-2-3)^2+(-3-2)^2}\\\\\Rightarrow\ D=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ D=\sqrt{25+25}=\sqrt{50}\\\\\Rightarrow\ D=7.07106781187\approx7.07[/tex]

Hence, the distance between the two endpoints = 7.07 units

Answer:

7 inches

Step-by-step explanation:

The dimension of the rectangular gift is 10 by 12 inches so let us find the perimeter of this rectangle.

Perimeter of rectangular gift = 2 (L+ W) = 2 (10 +12) = 44 inches

Since we are to use the same length of ribbon to wrap a circular clock so the perimeter or circumference should be 44 inches.

[tex]2\pi r=44[/tex]

[tex]r=\frac{44}{2\pi }[/tex]

[tex]r=7.003[/tex]

Therefore, the maximum radius of the circular clock would be 7 inches.

Answer:

The maximum radius of the circular clock is 7 in

Step-by-step explanation:

We must calculate the perimeter of the rectangle

We know that the rectangle is 10 in x 12 in

If we call L the rectangle length and we call W the width of the rectangle then the perimeter P is:

[tex]P = 2L + 2W[/tex]

Where

[tex]L = 10[/tex]

[tex]W = 12[/tex]

[tex]P = 2 * 10 + 2 * 12\\\\P = 20 + 24[/tex]

[tex]P = 44\ in[/tex]

Now we know that the perimeter of a circle is:

[tex]P = 2\pi r[/tex]

In order for the perimeter of the circumference to be equal to that of the rectangle, it must be fulfilled that:

[tex]2\pi r = 44\\\\r=\frac{44}{2\pi}\\\\r=7\ in[/tex]

We solve the equation for r

Answer:

113ºF

Step-by-step explanation:

Remember that exist a conversion rule that states:

[tex]F=\frac{9*C}{5} +32[/tex]

using it we have the following expression:

[tex]1.8*(45)+32=113[/tex]

Answer:

4/15.

Step-by-step explanation:

In probability, there are two types of events: the ones that are not related to each other and the ones that are related to each other. The former types of events are called independent events. In such cases, since the occurrence of one event is not related to and does not affect the other event, therefore, the probabilities of both events can be multiplied if they occur together. It is given that:

P(Q) = 7/15.

P(R) = 4/7.

P(Q and R) = P(Q)*P(R) = 7/15 * 4/7 = 4/15.

Therefore, the probability is 4/15!!!

Answer:

The correct option is C

Step-by-step explanation:

We have given the roots -6, 1 and 4.

Write down the roots:

x= -6 , x=1 , x=4

Rewrite the roots as an expression:

x+6=0

x-1=0

x-4=0

Now we have the following expressions:

=(x+6)(x-1)(x-4)

Now Multiply the terms:

=(x²-x+6x-6)(x-4)

=(x²+5x-6)(x-4)

=x(x²+5x-6) -4(x²+5x-6)

=x³+5x²-6x-4x²-20x+24

Solve the like terms:

=x³+x²-26x+24

Thus the correct option is C....

Answer:

aaaaaaaa top one wrong

Step-by-step explanation:

Answer:

The Answer is D

Step-by-step explanation:

If the Exponent is 1 or just x then it is linear.

* If the Exponent has and x, then this graph is exponential because anything to the power of X is exponential.

1/2(1/2)=0.25^x

Answer:

The Answer is C

Step-by-step explanation:

Just took ed2020 test