What is the range of the following relation
(9,-2) (4,3) (8,10) (-4,8)

A- 2,3,8,10
B-(9, -2) (4,3)
C - -4,4,8,9
D- (8,10) (-4, 8)

Answer: y=4.5, z=6.7, x=6

Step-by-step explanation:

Answer:

2/3.

Step-by-step explanation:

Geometric mean  = √(2 * 2/9)

= √(4/9)

= 2/3.

The geometric mean between 2 and 2/9 is 2/3.

We can define the mean of the given data set as the average of all the

numbers. Mathematically, we can write mean as -

M = ∑x{i}/n

Given is to find the geometric mean between 2 and 2/9.

The general formula used to calculate the geometric mean is -

[tex]$\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}[/tex]

We can write the geometric mean between 2 and 2/9 as -

GM = √(2 x 2/9)

GM = √(4/9)

GM = √4/√9

GM = 2/3

Therefore, the geometric mean between 2 and 2/9 is 2/3.

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The value which shows the true solution to the logarithmic equation solved below is 1.

Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

The given logarithmic equation is,

[tex]\log_2x+\log_2(x+7)=3[/tex]

Use the addition property of log in above expression.

[tex]\log_2[x\times(x+7)]=3[/tex]

Use the power rule property of log in above expression.

[tex][x\times(x+7)]=2^3\\x\times(x+7)=8\\x^2+7x-8=0[/tex]

Solve the quadratic equation with the help of split the middle term method,

[tex]x^2+8x-1x-8=0\\x(x+8)-1(x+8)=0\\(x+8)(x-1)=0\\x=-8,1[/tex]

Here, the two values of variable we get. One is positive and another is negative. As the logarithmic function is defined only for positive real number as its input.

Thus, the value which shows the true solution to the logarithmic equation solved above is 1.

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Answer:

1

Step-by-step explanation:

edge 2022

This question was not properly written

Complete Question

Select all the pairs of equivalent expressions.

a. (4³)³ and 4³ ⋅ 4³

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

c. 6⁴ ⋅ 3⁴ and 18⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

2. Choose an equivalent expression for 12³ • 12⁹• 12⁴ • 12².

a. 12^4

b. 12^18

c. 12^35

d. 12^216

3. Choose an equivalent expression for 10⁶ ÷ 10⁴.

a. 10^2

b. 10^3

c. 10^10

d. 10^24

4. Select all the expressions that are equivalent to 7⁸ • 7.

a. 7³• 7³

b. 7^18/7^9

c. (7³)³

d. 7⁴ + 7⁵

e. 7⁴ • 7⁵

5. Is this equation correct?

6³⋅ 7³= 42³

A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.

B. Yes; 6³ • 7³is equal to (6 • 7 • 3) or (42 • 3).

C. No; 6³ • 7³ is equal to (6 • 7 • 3) or (42 • 3).

D. No; 6³ • 7³ is equal to (6 • 7)³+ 3 or 42⁶.

Answer:

1 The correct answer is

d. 4³ ⋅ 5³ and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

2b. 12^18

3 a = 10²

4a. 7³ • 7³

c. (7³)³

e. 7⁴ • 7⁵

5 A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.

Step-by-step explanation:

1) Select all the pairs of equivalent expressions.

These are the correct options

d. 4³ ⋅ 5³and 20³

4³ × 5³ = 8000

20³ = 8000

e. (43)3 and 43 ⋅ 43 ⋅ 43

2. Choose an equivalent expression for 12³ • 12⁹• 12⁴• 12².

For an Algebraic Expressions,

We have the rule

x^a × x^b = x ^a+ b

Hence: 12³ • 12⁹• 12⁴ • 12².

= 12^3+9+4+2 = 12^18

Hence, b. 12^18

3. Choose an equivalent expression for

10⁶ ÷ 10⁴.

For an Algebraic expressions

x^a ÷ x^b = x ^a - b

Therefore

10⁶÷ 10⁴ = 10²

a. 10^2 Is the correct option

4. Select all the expressions that are equivalent to 7⁸ • 7.

7⁸ . 7= 7^8+1

= 7^9 or 7⁹

The equivalent expressions are:

a. 7³ • 7³ = 7⁹

b. 7^18/7^9 = 7⁹

c. (7³)³ = 7⁹

e. 7⁴ • 7⁵ = 7⁹

5. Is this equation correct?

6³ ⋅ 7³ = 42³

A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³

Answer:

what

Step-by-step explanation:

you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)

Answer:

Step-by-step explanation:

6) The diagonals of an isosceles trapezoid are congruent.

7) D) A diagonal of a kite bisects each of the non congruent angles and the other diagonal.

8) C) The diagonals of an isosceles trapezoid are congruent.

Hint:

Properties of isosceles trapezoid:

1. Only one pair of opposite sides are parallel.

2. The diagonals are congruent.

3. The  base angles are congruent.

4. The opposite angles are supplementary.

The true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is 4 option second is correct.

It is given the logarithmic equation [tex]\rm logx+log(x+5)=log(6x+12)[/tex].

It is required to find the true solution to the above logarithmic equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\[/tex]

[tex]\rm log_ac=b[/tex]

We have:

[tex]\rm logx+log(x+5)=log(6x+12)[/tex]

By using log property:

[tex]\rm logx + logy= log(xy)[/tex]

[tex]\rm log((x)(x+5))=log(6x+12)[/tex]

Taking [tex]\rm log_1_0[/tex] base and removing the log from the sides we get:

[tex]\rm x(x+5)= 6x+12\\\\\rm x^2+5x=6x+12\\\\\rm x^2-x-12=0[/tex]

It is quadratic equation solving by factorization method:

[tex]\rm x^2-x-12=0\\\\\rm x^2+3x-4x-12=0\\\\\rm x(x+3)-4(x+3)=0\\\\\rm (x+3)(x-4)=0\\\\\rm x+3=0 \ or \ x-4=0\\\\ \rm x=-3 \ or \ x=4\\\\[/tex]

A negative Logarithm value does not exist.

Hence, the true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is x = 4

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Answer:

51 inches

Step-by-step explanation:

I hope this helps!

51 inches tall is Kelly .

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Kelly is 4 feet , 3 inches tall.

We know that,

1 foot = 12 inches

Convert the feet given to inches: 4 × 12 = 48

48 + 3 = 51 inch.

Hence, 51 inches tall is Kelly .

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Answer:

Answer:

[tex]\sf \dfrac{27}{512}[/tex]

step:

[tex]\hookrightarrow \sf (\dfrac{3}{8} )^3[/tex]

rewrite:

[tex]\hookrightarrow \sf (\dfrac{3}{8} )(\dfrac{3}{8} )(\dfrac{3}{8} )[/tex]

remove parenthesis

[tex]\hookrightarrow \sf(\dfrac{9}{64} )(\dfrac{3}{8} )[/tex]

final answer

[tex]\hookrightarrow \sf \dfrac{27}{512}[/tex]

The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft

where

l = length

w = width

She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,

lw = 1600

Therefore,

perimeter = 160 ft

Then,

perimeter of rectangle = 2(l + w)

160 = 2(l + w)

l + w = 80

Let's combine the equations

lw = 1600

l + w = 80

l = 80 - w

Therefore,

w(80 - w) = 1600

80w - w² = 1600

Therefore,

w² - 80w + 1600 = 0

w² - 40w - 40w + 1600 = 0

w(w - 40) - 40(w - 40) = 0

(w - 40)(w - 40) = 0

w = 40 or 40

Therefore, the dimensions can be calculated as follows:

lw = 1600

40l = 1600

l = 1600 / 40

l = 40 ft

Therefore, the dimensions are 40ft by 40 ft

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Answer:

polyester, orange

polyester, blue

polyester, yellow

cotton, orange

cotton, blue

cotton, yellow

Step-by-step explanation:

Answer: -6/7

Step-by-step explanation:

Answer:

C.) mAngleGLI = 2mAngleGLH

Step-by-step explanation:

Answer:

$12.33

Step-by-step explanation:

74/6 = 12.33

Answer:

12.3

Step-by-step explanation:

I hope this is right!

Answer:

[tex]P(Yellow\ or\ Green) = 0.524[/tex]

Step-by-step explanation:

Given

[tex]Yellow = 5\ seconds[/tex]

[tex]Green = 50\ seconds[/tex]

[tex]Red = 50\ seconds[/tex]

Required

Determine the probability of Green or Yellow

First, we need to determine the total time

[tex]Total = 50 + 50 + 5[/tex]

[tex]Total = 105\ seconds[/tex]

Next, is to determine the required probability

This is calculated as follows:

[tex]P(Yellow\ or\ Green) = P(Yellow) + P(Green)[/tex]

[tex]P(Yellow\ or\ Green) = \frac{n(Yellow)}{Total} + \frac{n(Green)}{Total}[/tex]

[tex]P(Yellow\ or\ Green) = \frac{5}{105} + \frac{50}{105}[/tex]

[tex]P(Yellow\ or\ Green) = \frac{5 + 50}{105}[/tex]

[tex]P(Yellow\ or\ Green) = \frac{55}{105}[/tex]

[tex]P(Yellow\ or\ Green) = 0.52380952381[/tex]

[tex]P(Yellow\ or\ Green) = 0.524[/tex] -- Approximated

Answer:25

Step-by-step explanation:

Answer:

x= 17/2 is the correct answer

Answer:

8 pizzas

Step-by-step explanation:

If each of the 20 people eats 3/8 of pizza, to calculate the total number of pizzas needed, multiply 20 by 3/8 and round up to the nearest whole number.

[tex]\sf total \ number \ of \ pizzas=20 \times\dfrac38[/tex]

                                  [tex]=\dfrac{20 \times3}8[/tex]

                                  [tex]=\dfrac{60}8[/tex]

                                  [tex]=\dfrac{15}2[/tex]

                                  [tex]=7.5[/tex]

Therefore, he should buy 8 pizzas for the party.

9514 1404 393

Answer:

  9 cups

Step-by-step explanation:

If x represents the number of cups of dark chocolate needed for 60 candies, the proportion can be ...

  cups/candies = 3/20 = x/60

Multiplying by 60 gives ...

  x = 60(3/20) = 9

You need 9 cups of chocolate for 60 candies.

Answer:

Frank is correct.

Step-by-step explanation:

Frank is correct because the bag does not have 49 marbles but it does have 7 total.

You can double check this: 6 + 1 =7. 7 marbles total so frank is correct!

Have an amazing day!!!

PLEASE RATE!!

Answer:

y = 163°

Step-by-step explanation:

the angle with value 163° is actually an opposite angle of the angle y

Answer:

the angle is 163

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  [tex]2x^4-3 > 0[/tex]

In  [tex]y=a^{1/n}[/tex] n is root index of a.

Here given equation

x greater-than  RootIndex 4 StartRoot Start Fraction 3 Over 2 x EndRoot EndFraction.

It can be written as:

[tex]x > (\frac{3}{2} )^{1/4}\\\\x^4 > \frac{3}{2}\\ \\2x^4 > 3\\\\2x^4-3 > 0\\\\[/tex]

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  [tex]2x^4-3 > 0[/tex]

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How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

A2A

y = mx + C is often called slope-intercept form.

There are two pieces of information you will need to solve for. #1: The slope, which is m, and #2: the y-intercept, which is C (incidentally I learned this as y = mx + b, instead of y = mx + C, but that is a trivial detail)

Step #1 Find the slope. use the formula slope = (y₂ - y₁)/(x₂ - x₁) => (7 - -3)/3 - -2) = 10/5 = 2. m=2

Step #2 Find the y-intercept. Solve for y = mx + C when x is 2 and x = -2 and y = -3 -3 = 2(-2) + C => -3 = -4 + C add 4 to both sides, 1 = C

Equation: y = 2x + 1.

Check: x = 3 => y = 2(3) + 1 => y = 6 + 1 => y = 7 => (3, 7)

Check: x = -2 => y = 2(-2) + 1 => y = -4 + 1 => y = -3 => (-2, -3)

Step-by-step explanation:

I am not sure I understand the question with all the typos and potentially missing parts.

as I understand it, it will take her 4 hours to reach her destination when going 15 mph.

and the question is how long the trip will take, if she travels at 12 mph.

4 h × 15 m/h = 4 × 15 m = 60 miles

that is the distance of her trip.

when going slower, the distance is of course still the same, only the needed time changes :

x h × 12 m/h = 60 m

x × 12 m = 60 m

x = 60/12 = 5 hours

the trip would take her 5 hours to complete (instead of 4).

So, when you look at a graph. Where the line passes over the X-Axis, that is the X intercept. Where the line passes over the Y-Axis, that is the y intercept.

Answer: try to find the triangle and then mesure it

Step-by-step explanation:

Answer:

−6x^2 −26x +60

Step-by-step explanation:

Simplify the equation.