Determine whether the equation below has a one solutions, no solutions, or an
infinite number of solutions. Afterwards, determine two values of x that support your
conclusion
2 + 6 = 9
The equation has infinite solutions
A value of x that makes the equation true is
3
which when substituted into the
equation and simplified makes the equation turn into
х
3
Another value of x that makes the equation true is -15 , which when substituted
into the equation and simplified makes the equation turn into 3
= - 15

Using a proportional relationship, the graph of the proportional relationship [tex]y = -2.1x[/tex] is sketched at the end of this answer.

"y varies directly with x", hence, the equation is modeled by:

[tex]y = ax[/tex]

y = -8.4 when x = 4, hence, we can use it to find a.

[tex]-8.4 = 4a[/tex]

[tex]a = -\frac{8.4}{4}[/tex]

[tex]a = -2.1[/tex]

Hence, the equation is:

[tex]y = -2.1x[/tex]

The graph is sketched at the end of this answer.

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Answer:

9

Step-by-step explanation:

Mean = sum of number / total number

6 = (2 + x + 2 + 7 + 4 + 12) / 6

Multiply both sides by 6

36 = 27 + x

Solve for x

x = 36 - 27 = 9

Answer:

Solve for x.

x=−10/7

y=−65/7

Step-by-step explanation:

Here is the complete question.

[tex]Consider \ circle \ Y \ with \ radius \ 3 m \ and \ central \ angle \ XYZ \ measuring \ 70°. \\ \\ What \ is \ the \ approximate \ length \ of \ minor \ arc \ XZ?\\ \\ Round \ to \ the \ nearest \ tenth \ of \ a \ meter. \\ 1.8 meters \\ 3.7 \ meters \\ 15.2\ meters \\ 18.8 \ meters[/tex]

Answer:

3.7 meters

Step-by-step explanation:

From the given information:

The radius is 3m

The central angle XYZ = 70°

To calculate the circumference of the circle:

C = 2 π r

C = 2 × 3.142 × 3

C = 18.852 m

Let's recall that:

The circumference length define a central angle of 360°

The approximate length of minor arc XZ can be determined as follow:

Suppose the ≅ length of minor arc XZ = Y

By applying proportion;

[tex]\dfrac{18.852}{360} = \dfrac{Y}{70}[/tex]

Y(360) = 18.852 × 70

Y = 1319.64/360

Y = 3.66

Y ≅ 3.7 m

Answer:

B!!! 3.7

Step-by-step explanation:

ON EDG2020

Answer:

A(8,1) , B(‐5,7) , C(‐3,‐2)

Answer:

Yes, because each point has its own individual line; they don't share a line. Also, if you use the Vertical Line Test, you can confirm that it's a function because two or more points are not sharing a line.

Answer:

D

Step-by-step explanation:

It is in the middle of -9 and -8 therefore the awnser is -8.5

Answer:

The answer is 2

Step-by-step explanation:

Answer:

2160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 14, so

sum = 180° × 12 = 2160°

Answer:

A

Step-by-step explanation:

Answer:

275 is a 17.521% increase of 234.

This is the formula:

(y2 - y1) / y1)*100

y1=start value

y2=end value

The percentage increased population is 17.52 % from 234 to 275 during one year.

Percentage is defined as ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given that,

The population of a village increased from 234 to 275 during one year

So, the difference of population is equal to increased population

The difference of population = 275 - 234

The difference of population = 41

Now , the percentage increased population = 41 of 234

The percentage increased population = (41/234)100

The percentage increased population = (0.1752)100

The percentage increased population = 17.52 %

Hence, the percentage increased population is 17.52 % from 234 to 275 during one year

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Answer:

The coordinates of the gas station are (5, 9)

Step-by-step explanation:

As given,

George begins at (2,3), ends at (9,17), and  stops at the gas station at (x,y). If the part to part ratio is 3:4

 A                   P                     B

(2, 3)             (x, y)                (9, 17)

           3         :             4

we use the Interval Division formula :

If P(x,y) lies on the interval A(x1,y1), B(x2,y2) such that AP:PB=a:b, with a and b positive, then

x= [tex]\frac{bx1 + ax2}{a + b}[/tex]

y=[tex]\frac{by1 + ay2}{a + b}[/tex]

Here , (x1, y1) = (2, 3)

          (x2, y2) = (9, 17)

           a : b = 3 : 4

⇒ x= [tex]\frac{bx1 + ax2}{a + b}[/tex] = [tex]\frac{4(2) + 3(9)}{3 + 4} = \frac{8 + 27}{7} = \frac{35}{7} = 5[/tex]

   y=[tex]\frac{by1 + ay2}{a + b}[/tex] = [tex]\frac{4(3) + 3(17)}{3 + 4} = \frac{12 + 51}{7} = \frac{63}{7} = 9[/tex]

∴ The coordinates of the gas station are (5, 9)

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

Explanation:

The notation [tex](x,y) \to (x+8, y+5)[/tex] means that we add 8 to the x coordinate and add 5 to the y coordinate. This represents a shift of 8 units to the right and a shift of 5 units up.

Point G is located at (3,5). This means x = 3 and y = 5 pair up together.

Using the translation rule, we get the following

[tex](x,y) \to (x+8, y+5)\\\\(3,5) \to (3+8, 5+5)\\\\(3,5) \to (11, 10)\\\\[/tex]

Point G at the location (3,5) moves to point G' which is at the location (11,10)

Answer:

70 words

Step-by-step explanation:

35% of 200

Answer:

a ) 1 and 2

b ) less then 1

c ) less then 1

d ) less then 1

e ) 1 and 2

Step-by-step explanation:

Answer:

2 7/16

Step-by-step explanation:

divided 4 7/8 by 2.  Please Mark Brainliest if i got the correct  answer.  Have a Great Day!

Answer:

56% of the kids have a pet

Step-by-step explanation:

Hope this helps

Have a great day!

and please mark brainliest

Answer:

19 x 100/98 = 19.387755102%

Step-by-step explanation:

Answer:

19.39%

Step-by-step explanation:

Answer:

y = 1/8

Step-by-step explanation:

3/4 = 6/8

7/8 - 6/8 = 1/8

Answer:

exact form y= 1/8

decimal form y=0.125

Answer: A 340

Step-by-step explanation:

129.2/0.38=340

Answer:

1/28 of the sack

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Part A: How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Essay Submission

Part A: 5 1:3 = 53=15+1=16:3 16:3 / 2:3=16:33:2=48:6 6/48=8(6*8=48)

Part B: Thats How I got my quotient by dividing 48 and 6

I think this if what you are looking for.

hope it helps.

can you explain

Step-by-step explanation:

Answer: Self-made fruit punch

Step-by-step explanation:

Given

when we prepared fruit punch

64 fluid ounces of fruit punch has 8 ounces of fruit juice

i.e. the percentage of fruit juice in fruit punch is  [tex]\frac{8}{64}\times100=12.5\%[/tex]

and for the market fruit punch, it has 10% real fruit juice

So, self-made fruit punch has more fluid juice

Answer:

Use the quadratic formula

   =−±2−4√2

x=−b±b2−4ac2ax=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}x=2a−b±b2−4ac

   ​​

   Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

   2+5+6=0

   x2+5x+6=0x^{2}+5x+6=0x2+5x+6=0

   =1

   a=1a={\color{#c92786}{1}}a=1

   =5

   b=5b={\color{#e8710a}{5}}b=5

   =6

   c=6c={\color{#129eaf}{6}}c=6

=−5±52−4⋅1⋅6√2⋅1

2

Simplify

3

Separate the equations

4

Solve

Solution

=−2=−3

Step-by-step explanation:

Answer:

x= - 2 or x = - 3

Step-by-step explanation:

[tex]x^{2} +5x+6=0\\Factorise\\(x^{2} +3x)(+2x+6)=0\\x(x+3)+2(x+3)=0\\(x+2)(x+3)=0\\x+2 = 0 or x+3=0\\x=-2 or x=-3[/tex]

Answer:

The smallest positive integer is 3.

Step-by-step explanation:

In order to detect if a number is a perfect square, you firstly have to write the number as a product of its prime factor. If the prime factors of the number appear in an even number of times, then it's a perfect square. For example, if we want to detect if 36 is a perfect square we have to write 36 as a product of its prime factors. Doing this, we have:

36 = 2 x 2 x 3 x 3 = 2² x 3². From here, we see that the prime factors of 36 – 2 and 3 – appear twice which is an even number of times. Hence, it's a perfect square.

Now let us go back to our number:

N = 2^10 x 3^5

Obviously, N is not a perfect square because one of it's prime factors, 3, appears 5 times which is an odd number of times. In order to make it a perfect square, we have to multiply it by a certain number of 3's such that it will appear in an even number of times. Since the least positive integer is required, then we have to multiply by the least number of 3 that will make 3^5 even. Obviously, one 3 is the least needed to make 3^5 appear even number of times, because 3^5 x 3 = 3^6.

Therefore we have

N x 3 = 2^10 x 3^5 x 3 = 2^10 x 3^6.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

14 + n = 19.3  Equation/Question

Step 2

14 + n = 19.3  Simplify

14 + n = 19.3

Step 3

14 + n = 19.3  Subtract 14 from the sides

5.3

Answer

n=5.3

Hope this helps

Answer:

n = 0.765

Step-by-step explanation:

14 + n = 19.3n

14 = 18.3n

14 / 18.3 = n

n = 0.765