Instructions: Simplify the algebraic expression.

[tex]4(-4x-\frac{3}{2} )[/tex]

Answer:

B

Step-by-step explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

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Answer:

C

Step-by-step explanation:

Comment

The square root of 48 is nowhere near 12. That means that A and D are wrong. On a test that's an important consideration because if you have to guess, you've just cut the possibilities down to 2.

So the answer must  be B or C. Furthermore, you don't have to go to the trouble of factoring 48 to show that it is 4 sqrt(3). There's no other choice.

So what about x^5. 5 is an odd number. That means that one of the xs is left underneath the square root sign. That makes B incorrect. Without doing a calculation, I know that C is the answer.

Note

x^5 = x * x * x * x * x

The rule is for ever 2 factors that are the same, 1 factor is put in front of the square root sign and the other 1 is thrown out.

√x^5 = √x * x * x * x * x  = x * x √x

Therefore the answer to the problem is 4 x * x√3 x = 4x^2√3x

Answer:

see explanation

Step-by-step explanation:

the vertices of S under the translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] are

(2, 3 ) → (2, 0 )

(6, 3 ) → (6, 0 )

(4, 5 ) → (4, 2 )

Under an anticlockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) then the above coordinates become

(2, 0 ) → (0, 2 )

(6, 0 ) → (0, 6 )

(4, 2 ) → (- 2, 4 )

which are the coordinates of the vertices of the image T

then the rotation is 90° anticlockwise about the origin , point (0, 0 )

Answer:

Below

Step-by-step explanation:

the vertices of S under the translation  are

(2, 3 ) → (2, 0 )

(6, 3 ) → (6, 0 )

(4, 5 ) → (4, 2 )

Under an anticlockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) then the above coordinates become

(2, 0 ) → (0, 2 )

(6, 0 ) → (0, 6 )

(4, 2 ) → (- 2, 4 )

which are the coordinates of the vertices of the image T

then the rotation is 90° anticlockwise about the origin , point (0, 0 )

Answer:

[tex]6\sqrt{25}[/tex]

Step-by-step explanation:

[tex]\sqrt{125} = 5\sqrt{5} \\\sqrt{45} = 3\sqrt{5} \\\sqrt{20} = 2\sqrt{5} \\5\sqrt{5} + 3\sqrt{5} -2\sqrt{5} =6\sqrt{25}[/tex]

Answer:

Its 250 the answer which i got.

Answer:

After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276

Step-by-step explanation:

The value of (f + g)(x) is 2x + 8

Let f(x) = 4x + 3 and g(x) = -2x + 5.

Find (f + g)(x).

The functions are given as:

f(x) = 4x + 3

g(x) = -2x + 5

The composite function (f + g)(x) is calculated using

(f + g)(x) = f(x) + g(x)

Substitute known values

(f + g)(x)= 4x + 3 - 2x + 5

Evaluate the like terms

(f + g)(x)= 2x + 8

Hence, the value of (f + g)(x) is 2x + 8

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x=4 y=5

if we put two pharases together

the answer is as follows pic :

x=4 y=5

Answer:

18 is answer

Step-by-step explanation:

Answer:

what is business function of beauty

Answer:

f(8) = 9

Step-by-step explanation:

f(x)=(x-5)^2

Let x = 8

f(8)=(8-5)^2

     = 3^2

     = 9

The values that make v >= 1 true are 2, 3, 4, 5....

The inequality is given as:

v >= 1

Rewrite properly as:

v ≥ 1

The above means that the true values of v are values greater than 1.

Hence, the values that make v >= 1 true are 2, 3, 4, 5....

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Answer:

No, the solution is -3.

Step-by-step explanation:

3y+10=-5y-14

We move all terms to the left:

3y+10-(-5y-14)=0

We get rid of parentheses

3y+5y+14+10=0

We add all the numbers together, and all the variables

8y+24=0

We move all terms containing y to the left, all other terms to the right

8y=-24

y=-24/8

y=-3

Answer:

y = - 3

Step-by-step explanation:

3y + 10 = - 5y - 14 ( add 5y to both sides )

8y + 10 = - 14 ( subtract 10 from both sides )

8y = - 24 ( divide both sides by 8 )

y = - 3

Answer:

16500

Step-by-step explanation:

Answer:

The answer is 33.31

Step-by-step explanation:

-41/2 ×-13/8

-41×-13 = 533

2×8=16

therefore, 533/16

ans= 33.31

I hope this helps.

Area of the rectangle is 96.05 sq.units , The ratio of the areas is 2/3 , Area of rectangle ABEF is 64.03 sq.units.

The complete question is

In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is(a)_____ . If the coordinates of point A are (0,6), the area of rectangle ABEF is(b)____ square units, and the area of rectangle ACDF is(c)____ square units.  The perimeter of rectangle BCDE is(d)____ units.

A rectangle is a polygon with four sides and for angles and four vertices , Its opposite sides are parallel and equal.

The  area of rectangle ACDF is square units. = ?

The perimeter of rectangle BCDE is units. = ?

[tex]\rm d = \sqrt{ (y_2 -y_1 )^2 + (x_2 -x_1)^2}\\\\\rm d = \sqrt{ (2 - 6 )^2 + (5 - 0)^2}[/tex]

d = 9.605

the length of  [tex]\rm EF[/tex]

[tex]\rm FE[/tex] = 10 units.

and [tex]\rm FD[/tex] = 15 units

Area of a Rectangle [tex]\rm ACDF[/tex] is given by

Length x width

10 * 9.605

Area of the rectangle is 96.05 sq.units

Perimeter of a rectangle is = 2( length + breadth)

ED = FD-FE = 15- 10 = 5 units

Therefore

Perimeter = 2 ( 5 +  √41 )

Perimeter = 22.81 units

Area of rectangle ABEF is 64.03 sq.units

The ratio of the areas

= 64.03/96.05

= 0.666667

= 2/3

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Answer:

28,27,26

sequence=-3

Step-by-step explanation:

Answer:

[tex]\fbox {28, 27, 26}[/tex]

Step-by-step explanation:

Given :

⇒ a = 32

⇒ d = 31 - 32 = -1

Finding next 3 terms :

⇒ 29 - 1 = 28

⇒ 28 - 1 = 27

⇒ 27 - 1 = 26

The number of lines that can be drawn parallel to plane P that passes through point A is 1.

From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.

Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.

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Yes, the distance from (-2, 0) to (1, √7) is 4 units.

We know that the general form of equation of the circle is given by;

(x - h)² + (y - k)² = r²

where;

(h, k) is the coordinate of the center

r is the radius

From the attached image, the radius is equal to the distance between the center and the point (-2,4).  Thus, r = 4 and so we have;

(x + 2)² + (y - 0)² = 4²

(x + 2)² + y² = 16

If the distance between the center and the point is equal to the radius of the circle , then the point lies on the circle and the formula to calculate the distance between two points is;

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

At A(-2, 0) and B(1, √7), we have;

d = √[(√7 - 0)² + (1 - (-2))²]

d = 4 units

Therefore we can conclude that  the distance from (-2, 0) to (1, √7) is 4 units.

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Answer:

60.10

Step-by-step explanation:

3 x 4 = 12

12 / 110 = 0.109

0.109 + 60 = 60.109

Answer:

There are 8 possible answers for the value of m

Step-by-step explanation:

3025 (55^2), 3136 (56^2), 3249 (57^2)...., 3844(62^2)

The square of the numbers 55-62 could be a solution set for m.

The speed of Aro's paddling and speed of the river will be 1.56 miles per hour and 0.52 miles respectively.

Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving. Round to the nearest hundredth as needed. Upstream: Downstream: Let x be the speed of Aro’s paddling and let y be the speed of the river. Upstream: 1.04 = x – y Downstream: 2.08 = x + y Aro can paddle at a speed of miles per hour. The river’s speed is miles per hour.

Based on the information given, the equations will be:

x + y = 1.04

x + y = 2.08

Add both equations together. This will be:

x = 1.56

Now substitute the value of x into equation ii. This will be:

1.56 + y = 2.08

y = 2.08 - 1.56

y = 0.52

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Answer:

4158cm cubed. Hope this helped!

Answer:3/20

Step-by-step explanation:

Fraction of total area mowed = (3/5) + (1/4) = 17/20

Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20

The height of the triangle FGH is equal to 51 units.

Triangle FGH is an equilateral triangle, thus we understand that each of its sides is identical.

Every side's length is specified as 34√3 units.

In order to split HF into two equivalent halves, use a perpendicular bisector. This implies,

34√3/2=17√3

By using the Pythagorean theorem, which states that the total of a triangle's two sides matches the square of its hypotenuse, we may determine the height.

a²+b²=c²

Here, a=17√3

b=height &

c=34√3

Therefore, from the above equation, we can say,

b²=c²-a²

⇒b²=(34√3)²-(17√3)²

⇒b²=([tex]34^{2}*3[/tex])-([tex]17^{2} *3[/tex])

⇒b²=3468-867

⇒b²=2601

⇒b=[tex]\sqrt{2601}[/tex]

⇒b=51 units

Hence, it is concluded that the height of the triangle is (c)51 units.

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Answer:

C. 51 units

Step-by-step explanation:

By using trigonometry, we conclude that the horizontal distance is 785.15ft

We can think of this as a right triangle.

Where the height of the observation deck is one cathetus and the horizontal distance is the other cathetus,

We know that the depression angle when looking from above is 42°. If we step on this angle, the adjacent cathetus is the height of the deck, then the horizontal distance is the opposite cathetus.

Then we can use the relation:

tan(a) = (opposite cathteus)/(adjacent cathetus).

Replacing what we know:

tan(42°) = (distance)/(872ft)

tan(42°)*872ft = distance = 785.15ft

The horizontal distance is 785.15ft

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Answer:

A. JK and LM lie in the same plane

B. JK and LM do not intersect

E. JK and LM are parallel

Step-by-step explanation:

hope this helped

If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal is 4.7

We have given that,

Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles.

We have to determine that If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal.

Based on the given conditions, formulate: 8+4x=26

Rearrange unknown terms to the left side of the equation:4x=26-8

Calculate the sum or difference:4x=18

Divide both sides of the equation by the coefficient of the variable:4x/4=18/4

Calculate the product or quotient:x=18/4

We get the result:4.7

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Answer: The answer is 6.6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 is an odd number and obviously the only odd (same) three digit that add up to 9

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At least 1 right angle = A, C and E

At least 2 sides of equal length = B and E

At least 1 pair of parallel sides= B and E

Parallel lines are those lines that are apart and they never meet till infinity.

Example of shapes that have sides with parallel line are the rectangle and parallelograms.

The shape B and E are rectangles and parallelograms respectively.

The shape that has angle 90° are right angle triangles and trapezium.

Therefore, the shapes that has right angles are A which is a trapezoid and E which is a rectangle.

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