10Which best describes a system of equations that has infinite solutions?

The complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

For solving the quadratic equation by completing the square, we first need to ensure that the constant of the square variable is unit.

Following are the steps involved

[tex]5x^2+15x-4=0[/tex]

divide both side by 5

[tex]x^2+3x-\frac{4}{3}=0[/tex]

add 9 on both sides of the equations

[tex]x^2+3x-\frac{4}{3}-9/4+ 9/4=0[/tex]

[tex]x^2+3x+ 9/4=\frac{4}{3}+9/4\\(x+3/2)^2=43/12[/tex]

Therefore we the complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

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Answer:

A

Step-by-step explanation:

Answer:

p=-10

Step-by-step explanation:

6=-2(p-5)/5

6=-2p+10/5

x5 to both sides to get rid of denominator

30=-2p+10

-10 from both sides to get rid of it on the right

20=-2p

divide by -2 from both sides to get p by itself to know its value

20/-2=-10 so....

p=-10

Answer:

6/14 or simplify it to 3/7

Step-by-step explanation:

this is because you have a total of 14 marbles

Answer:

47.6

Step-by-step explanation:

35% x 136

= (35/100)*136

_________________

Step 1: In the given case Output Value is 136

Step 2: Let us consider the unknown value as x

Step 3: Consider the output value of 136 = 100%

Step 4: In the same way, x = 35%

Step 5: On diving the pair of simple equations we got the equation as under

136 = 100% (1).

x = 35% (2).

(136%)/(x%) = 100/35

Step 6: Reciprocal of both the sides results in the following equation

x%/136 = 35/100

Step 7: Simplifying the above obtained equation further will tell what is 35% of 136

x = 47.6%

Therefore, 35% of 136 is 47.6

Answer: 13 ounces

Step-by-step explanation:

      To answer this question, we will find 65% of 20. A percent divided by 100 becomes a decimal that can be used to solve.

65% / 100 = 0.65

0.65 * 20 = 13

   There are 13 ounces of tin in the metal bar.

Answer:

The metal bar contains 13 ounces of tin.

Step-by-step explanation:

Multiply '20 ounces' by 0.65, obtaining 13 ounces.

The metal bar contains 13 ounces of tin.

Heating and Cooling Degree Days

Degree days are based on the assumption that when the outside temperature is 65°F, we don't need heating or cooling to be comfortable. Degree days are the difference between the daily temperature mean, (high temperature plus low temperature divided by two) and 65°F. If the temperature mean is above 65°F, we subtract 65 from the mean and the result is Cooling Degree Days. If the temperature mean is below 65°F, we subtract the mean from 65 and the result is Heating Degree Days.

Step-by-step explanation: Example 1: The high temperature for a particular day was 90°F and the low temperature was 66°F. The temperature mean for that day was:

( 90°F + 66°F ) / 2 = 78°F

Because the result is above 65°F:

78°F - 65°F = 13 Cooling Degree Days

Example 2: The high temperature for a particular day was 33°F and the low temperature was 25°F. The temperature mean for that day was:

( 33°F + 25°F ) / 2 = 29°F

Because the result is below 65°F:

65°F - 29°F = 36 Heating Degree Days.

The calculations shown in the two examples above are performed for each day of the year and the daily degree days are accumulated so that we can compare months and seasons.

Answer:

7/20

Step-by-step explanation:

There were 20 tries, and 7 of them(blue picks) were desired outcomes.

There are 264 male students in the high school containing 600 students.

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 600 students altogether, hence:

Number of freshmen = (1/5) * 600 = 120

Number of other graders = 600 - 120 = 480

Number of male freshmen = 120 - (0.4 * 120) = 72

Number of male other graders = (1 - 3/5) * 480 = 192

Total number of male = 72 + 192 = 264

There are 264 male students in the high school containing 600 students.

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Answer:

5^15

Step-by-step explanation:

Using the laws of powers, you can multiply 5^3 out of its bracket and get 5^27. Then, once again, using the laws of powers, you can get 5^15 by subtracting the powers.

Answer:

(5^3)^9/5^12 is equivalent to 5^15

Step-by-step explanation:

Begin by simplifying (5^3)^9

To make it much easier, apply the power rule. (a^x)^y = a^xy)

Multiply 3 x 9 = 27... so we get 5^27

Next, instead of dividing 27/12, which will result in a decimal..you must do 27-12, which is applying the quotient rule.  (a^x / a^y = a^x-y)

5^27/5^12 = 5^27-12 = 5^15

( When I use /, it signifies to divide.)

So,  (5^3)^9/5^12 is equivalent to 5^15! Hope this helps! :D

When n columns of S (eigenvectors of A) are independent, then:

(a) A is invertible is a false statement.

(b) A is diagonalizable is a true statement

Others are:

(c) S is invertible true  statement.

(d) S is diagonalizable false statement.

Note that if n columns of S (eigen vectors of A) are said to be independent.

One can deduce or see that the eigen vector that is similar to the eigen value is said to be = 0 and one can say it is linearly independent when viewed with the other eigen vectors of A.

But because to the zero eigen value of A, we see that the determinant of A is the output of eigen values of A which is = 0 and as such, A is not invertible.

So, the linear independence of eigen vectors will not be able to find the invertibility of A and as such A is diagonalizable.

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Answer: Random Sampling

Step-by-step explanation:

The act of collecting data that are representative of the population data is called random sampling.

Answer:

First, add totals to the table (see attachment)

Let S = Sourdough

Let C = With cheese

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(S)=\dfrac{1225}{3125}=\dfrac{49}{125}[/tex]

[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]

[tex]\implies \sf P(S \cap C)=\dfrac{800}{3125}=\dfrac{32}{125}[/tex]

For independent events S and C,

[tex]\sf P(S \cap C)=P(S)P(C)[/tex]

[tex]\sf\:As\quad P(S) \cdot P(C)=\dfrac{49}{125} \cdot \dfrac{16}{25}=\dfrac{784}{3125}[/tex]

[tex]\sf And\quad \dfrac{32}{125} \neq \dfrac{784}{3125}[/tex]

[tex]\sf Then \quad P(S \cap C)\neq P(S)P(C)[/tex]

So the events are NOT independent

Answer:

28

Step-by-step explanation:

4 x 77 / 11 x 1  =  308 / 11

308/11 = 28    11/11 = 1

the answer is 28 / 1

Hey there!

4/11 of 77

= 4/11 * 77/1

= 4(77) / 11(1)

= 77(4) / 1(11)

= 77 + 77 + 77 + 77 / 11

= 154 + 154 / 11

= 308 / 11

= 28

Therefore, your answer is: 28

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The quotient of the equation is x-2.

The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.

The given equation is;

[tex]\rm \dfrac {x^3 - 3x^2 + 3x -2}{ x^2 - x + 1}\\\\[/tex]

By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.

The solution of the equation is determined in the following steps given below.

[tex]\rm = \dfrac {x^3 - 3x^2 + 3x -2}{ x^2 - x + 1}\\\\\rm = \dfrac {( x^2 - x + 1)(x-2)}{ x^2 - x + 1}\\\\=x-2[/tex]

Hence, the quotient of the equation is x-2 .

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A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.

The circumference of a circle is the product of pi and length of the diameter of a circle. Mathematically;

[tex]\longrightarrow \tt{Circumference_{(circle)} = \pi{D}}[/tex]

Here, D is the diameter of the circle or distance between the circle.

We are asked to find the circumference of the circle if the diameter is 8 inches.

We know that, The circumference of a circle is the product of pi and length of the diameter of a circle. Therefore;

[tex]\implies \tt{Circumference_{(circle)} = \pi{D}}[/tex]

[tex]\implies \tt{Circumference_{(circle)} = 3.14 \times 8}[/tex]

[tex]\implies \boxed{\pmb{\tt{Circumference_{(circle)} = 25.12}}}[/tex]

Hence, the circumference of the circle is 25.12 inches. So option (B) is correct.

Answer:

Step-by-step explanation:

In the question we are given that diameter of circle is of 8 inches . And we have asked to find the circumference of the circle .

For finding circumference of circle we must have to know that what is the formula for finding circumference of circle. So :

[tex] \quad \quad \: \red{\underline{\pink{ \boxed{ \frak{Circumference \: of \: Circle =2 \pi r }}}}}[/tex]

Where ,

Solution : -

As in the question we are given length of diameter . So for finding circumference we need to find the radius of circle .

We know that diameter of circle is two times its radius ,

[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]

So for radius we are dividing both side with 2 :

[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]

We get that ,

[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]

Therefore , we can say that radius of circle is half of its diameter .

Now using this , firstly we are finding radius of circle . So :

[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{8}{2} \: \: inches}}[/tex]

Now , we are moving towards our final solution .

So ,

[tex] \longmapsto \quad Circumference_ { (Circle)} =2 \times 3.14 \times 4 [/tex]

Multiplying 2 with 3.14 :

[tex]\longrightarrow \quad Circumference_ { (Circle)} = 6.28 \times 4 [/tex]

Multiplying 4 and 6.28 :

[tex]\longrightarrow \quad \purple{{\boxed{\frak{Circumference_ { (Circle)} = 25.12\: inches }}}}[/tex]

Answer:

A (0,6)  B (6, 1)  C (2,2)

Step-by-step explanation:

A (4, 4)

  [-4, 2]

Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates

Image Coordinates:

A----->A¹(0,6)

B----->B¹(2,3)

C----->C¹(-2,4)

Answer:

haha hut dog hahah ayoko nga

Answer: You can buy 11 DVD’s with $165

Step-by-step explanation:

165 divided by 15= 11

The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Length of a line segment is the distance of both the ends of it.

Point m lies between points l and n on line segment l n .

The value of line segment LN is,

[tex]LN = 12x +16[/tex]

The sum of LM and LN is equal to the line segment LN. Thus,

[tex]LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4[/tex]

Put this value of x in the equation of line segment LN,

[tex]LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units[/tex]

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

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Answer:

the nets are for 3Dshapes

Step-by-step explanation:

the drawing shown are nets

Answer:

0.111

The probability of two blue marbles being drawn from the bag to all marbles is [tex]\frac{2}{18}[/tex], and [tex]\frac{2}{18}~-- > ~0.111[/tex] rounded to nearest thousandth.

Ask in the comments box.

Answer:

180 more students than parents at the game

Step-by-step explanation:

There are 5 students for every 2 parents equalling 7 people in one set of students to parents ratio.

There are 420 fans at the game. Divide the 420 by the 7 people per set.

420 / 7 = 60 (There are 60 sets of 5 students to 2 parents ratio)

Multiply the 60 sets by 5 students and 2 parents, respectively:

60 x 5 = 300 students

60 x 2 = 120 parents

Subtract the number of parents from number of students:

300 students - 120 parents = 180 more students

15 people liked country, and 10 people liked opera, so 10+15 = 25.

25 people combined

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

The line looks like it is around 6, the square root of 61 is 7.810249675906654, so that would be the closest to our estimate.

Answer:

I think the answer is 11

Step-by-step explanation:

because if u count under the lines from one point to another u get 6

then count up from where ur at and u get 5

and then ig just add it up

6+5

look

Answer:

B. There is only one base for a pyramid.

D. The faces of pyramids are traingles.

E. The faces of prisms are rectangles.

Step-by-step explanation:

The difference between a pyramid and a prism is:

There is only one base for a pyramid.

The faces of pyramids are triangles.

The faces of prisms are rectangles.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The number of vertices is always equal to the number of sides for a prism but not a pyramid.

The faces of pyramids are triangles while the faces of prisms are rectangles.

A prism has two parallel bases and its other faces are rectangles.

A pyramid has a single base and its faces are triangles.

A prism also has the same number of vertices as its number of sides, but this is not true for a pyramid.

Thus,

The difference between a pyramid and a prism is:

There is only one base for a pyramid.

The faces of pyramids are triangles.

The faces of prisms are rectangles.

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Answer:

Answer depends on the value you put

Step-by-step explanation:

let's say a= 3 and x =4 then,

or 3*4 -w = 3

or 12 - w = 3

or -w = 3- 12

or -w = -9

or w = 9

just put any value in a and x and you will get the answer