Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.

Answer:

  1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Your expression can be simplified as follows:

  [tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]

_____

Additional comment

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

  [tex](x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6[/tex]

Consider division:

  [tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}[/tex]

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

Answer:

r= 5/12 h

Step-by-step explanation:

r/h = 1/2.4

r =[tex]\frac{10}{24}[/tex]h

r=[tex]\frac{5}{12}[/tex]h

Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

3

Pentagon PQRST is 1/2 the size of ABCDE therefore, x = 3

Answer: there is no x so i can't answer it

Step-by-step explanation:

Answer:

30:12

Step-by-step explanation:

Graphs attached

Answer: 13 ( 1 + 2 )

Step-by-step explanation:

13 ( 1 + 2 ) = 13 + 26

Answer: If a person has a better credit, they have better chances of getting the job they had applied for. Getting the job means they get a stable income. Having a stable income helps a person to buy all essential needs.

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

Add all the numbers together which gives 849. Divide 849 by 10 because there are ten numbers. This gives 84.9. Round it up to 85%

The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.

Reasons:

The table is presented as follows;

[tex]\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right][/tex]

Based on the given table, we have that the programs are categorized based on the intended audience.

Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.

Therefore, the correct option is;

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

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Answer:

A

Step-by-step explanation:

its a

Answer:

y = -2x+9

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case the rate of change is -2x because each figure loses 2 blocks as it goes.

You can also see the the initial figure 1 has 9 blocks so this is our constant

With this information we can create the equation y = -2x+9

m = -2

x = x

b = 9

If more aid is needed a simple search of (Visual Pattern - Writing an Equation and Creating a Table) will help you with a video easily.

Answer:

Recall each angle in a rectangle is 90 degrees.  So to find the other portion, subtract the given angle from the 90 degrees.

Step-by-step explanation:

The missing measures of the angles are as follows:

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

to determine the measures of the angles:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

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#SPJ2

Answer:

(-5, -4)

Step-by-step explanation:

Plugin the values:

(x, y) ⇒ (x -10, y + 6)

= x - 10, y + 6

= (5 - 10, -10 +6)

= (-5, -4)

Therefore, A prime is (-5, -4).

Answer:

He has 15 Blueberry Muffins

Step-by-step explanation:

If the ratio is 3 to 5, and he has 9 apples, that means that he has 3 times the normal ratio. So, multiply 5 by 3 and you get 15 blueberries.

[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]

Answer:

y = 7

Step-by-step explanation:

0.3y+0.6 = 9.7 - y

0.3y+y = 9.7 -0.6

1.3y = 9.1

y= 7

sorry it had an error

Answer:

x = 56

y = 15

Step-by-step explanation:

"The sum of two numbers is 71."

x + y = 71

"The difference of the two  numbers is 41."

x - y = 41

Solve the system:

From the first eq.

x = 71 - y

Replacing this value in the second eq.

(71-y) - y = 41

71 - 2y = 41

71 - 41 = 2y

30 = 2y

y = 30/2

y = 15

From the second eq.

x - y = 41

x - 15 = 41

x = 41 + 15

x = 56

Check:

from the first eq.

x + y = 71

56 + 15 = 71

Answer:

sqrt(10)

Step-by-step explanation:

[tex] \sqrt[2]{ x_{2} - x_{1}) + ( y_{2} - y_{1})} [/tex]

Answer:

375

Step-by-step explanation:

150 x 2= 300 -Thats for the 20 minutes

And 150 divided by 2 = 75= Thats for the addtional 5 minutes

Answer:

3.25 blocks

Step-by-step explanation:

6.5 * 1.5 = 9.75 blocks

9.75 - 6.5 = 3.25blocks

Farther 3.25 blocks sue ellan need to ride than Bobby ride

According to the midsegment theorem, the midsegments are parallel to

and half the length of the opposite side.

The completed statement are as follows;

Reasons:

From the given graph of ΔABC, we have;

Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)

The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)

The coordinates of the point F is; F(-1, -4)

[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]

Length of EF  = √((-1 - (-2))² + (-4 - 0)²) = √(17)

Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)

Therefore, we have;

Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC

= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]

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Given the domain of values D = {-3, -2, -1, 0, 1, 2, 3}

1) If the set of range is one less than the domain, the required range will be:

Range = {-4, -3, -2, -1, 0, 1, 2}

2) If the set of range is 2 more than the domain, the required range will be:

Range = {-1, 0, 1, 2, 3, 4, 5}

The table of values is given as:

x       y

-3  |  -1

-2  |   0

-1  |   1

0   |   2

1    |   3

2   |   4

3   |   5

2) For equation 1, we will use the coordinate points (0. -1) and (1, 0)

The equation in slope-intercept form is given as y = mx + b

m = 0-(-1)/1-0

m = 1/1 = 1

Since the y-intercept is at (0, -1), hence b = -1

Substitute the given value into the formula:

Recall that y = mx + b

y = 1x + (-1)

y = x - 1

Hence the equation 1 will be y = x - 1

For equation 2, we will use the coordinate points (-1, 1) and (0, 2)

The equation in slope-intercept form is given as y = mx + b

m = 2-1/0-(-1)

m = 1/1 = 1

Since the y-intercept is at (0, 2), hence b = 2

Substitute the given value into the formula:

Recall that y = mx + b

y = 1x + 2

y = x + 2

Hence the equation 2 will be y = x + 2

4) The graph of each equation on a different coordinate plane is attached.

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Answer:

[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex]

Step-by-step explanation:

[tex]\frac{a}{b} + \frac{c}{d}[/tex]                          

[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex]                  Multiply  by the LCD (bd)

Answer:

B

Step-by-step explanation:

1/4 yard long, area is 1/3 and we have to find the width so:

1/3(area) divided by 1/49(length) would get you your width

Answer:

  c)  36√15 cm³

Step-by-step explanation:

We can compute the volume of the pyramid if we know the area of its base, and its height.

__

A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...

  A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base

__

Each triangular face will have a slant height that makes its area the same as that of the base.

  A = 1/2bh

  36 cm² = (1/2)(6 cm)h

  (36 cm²)/(3 cm) = h = 12 cm  . . . . .  divide by the coefficient of h

The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...

  (6 cm/2)² +h² = (12 cm)²

  h² = (144 -9) cm²

  h = 3√15 cm . . . . . height of the pyramid

__

The volume of the pyramid is given by ...

  V = 1/3Bh . . . . . . base area B, height h

Using the values we found above, we compute the volume to be ...

  V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³

The classification of a polygon is described on the basis of the number of sides and vertices of these objects using polygons. It appears to be because the sides and angles appear to be congruent.

The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

The outside of one of these objects uses polygons, The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides. However, a polygon is considered regular when each of its sides measures equal in length.

A minimum of three line segments is needed to draw any closed figure. The corners or points where two line segments meet each other are known as the vertex of a polygon.

The classification of a polygon is described on the basis of its number of sides and vertices.

For example, a polygon of three sides and three angles is known as a triangle whereas a polygon of four sides and four angles is known as a quadrilateral.

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides.

However, a polygon is considered regular when each of its sides measures equal in length.

The lengths of each side of a regular hexagon are equal.

The angles of each side of a regular hexagon are equal.

Hence, The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

For more details about Polygon refer to the link given below.

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Answer:

6, hexagon, and regular

Step-by-step explanation:

The object has  6 sides, so it is a hexagon

It appears to be regular because the sides and angles appear to be congruent.

The answer is meter since grams is used to measure weight and kilometer and mile are used to measure something larger.

Answer:

C. Meter

Step-by-step explanation:

1. Kilograms measure weight, not distance/length, so it wouldn't make sense to use them to measure a bed.

2. Kilometers are used to measure very long distances, as are miles, so it wouldn't make sense to use them on something small like a bedframe.

That means the only option left is C. Meter.

Hope this helps.