X g(x)
10 -16
11 -17
12-18
13 -19

Answer:

4.12

Step-by-step explanation:

Step-by-step explanation:

well, the starting equation and the target format have been given.

let's do the multiplications and compare the target with the starting information.

from there we see what is different or missing.

x² + 14x + 13 = 0

and

(x - p)² = q

x² - 2px + p² = q

x² - 2px + (p² - q) = 0

now let's compare the different parts :

x² = x²

-2px = 14x

-2p = 14

p = -7

p² - q = 13

-7² - q = 13

49 - q = 13

36 - q = 0

q = 36

so, the square (x - p)² = (x + 7)² is completed when

x² + 14x + 49 = 0

but we have only "+ 13". so we need to add 36 to get 49. but we need to do it on both sides, to keep the equation true :

x² + 14x + 13 + 36 = 36

x² + 14x + 49 = 36

(x + 7)² = 36

just as we calculated already above.

and now this can be solved by pulling the square root on both sides (a quadratic equation has always 2 solutions)

x + 7 = ±6

x1 = 6 - 7 = -1

x2 = -6 - 7 = -13

The image after the composition is X''(9, -1), Y'(13, -5), and Z''(14, -3)

The vertices of the triangle are given as:

X(2, 4), Y(6, 0), and Z(7, 2)

The compositions of translations are given as:

Translation: (x, y) → (x + 12, y + 4)

Translation: (x, y) → (x − 5, y − 9)

So, we have:

Translation: (x, y) → (x + 12, y + 4)

X'(2 + 12, 4 +4), Y'(6 + 12, 0 + 4), and Z'(7 + 12, 2 + 4)

Evaluate

X'(14, 8), Y'(18, 4), and Z'(19, 6)

Translation: (x, y) → (x − 5, y − 9)

X''(14 - 5, 8 - 9), Y'(18 - 5, 4 - 9), and Z'(19 - 5, 6 - 9)

Evaluate

X''(9, -1), Y'(13, -5), and Z''(14, -3)

Hence, the image after the composition is X''(9, -1), Y'(13, -5), and Z''(14, -3)

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Answer:

Transformation that result in a change in the size of a figure are called dilations.

The number of hours lopudres will have to jog is .4 hours.

Lord wants to run at least 1.5 miles, and her pace is shown in the picture as 3.75 miles per hour, and the question asks us to construct an inequality expressing x for the amount of hours she would have to run. To meet this inequality, we'll need to apply how quickly or how many miles she wants to cover with how fast she's going to run, so we'll divide 1.5 miles by her rate of 3.75 miles per hour, and when you divide you'll get a number of hours, which comes out to 0.4 hours.

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Answer: $5.25

Step-by-step explanation:

Brianna bought 1 3/4 pounds of cheese

Each pound cost $3.00

1 3/4 x $3

Turn this into an improper fraction, you get 7/4

7/4 x $3

$21 over 4

Do the division, you get $5.25

Answer:

Step-by-step explanation:

1 pound price= 3 dollars

Then she has to pay= (7/4)*3 = 5.25 dollars

Answer:

45x

Hope this helps :)

Step-by-step explanation:

- 15x (- 3) = 45 x

There are 1106 different ways for him to choose the meal.

For given question,

In a restaurant there are 7 starter dishes, 14 main dishes and 9 desserts.

The possibilities of selecting a starter = 7

The possibilities of selecting a main dish = 14

The possibilities of  selecting a dessert = 9

The meal combinations are: a starter dish and a main dish; a main dish and dessert; a starter dish, main dish and dessert dish.

The possibility of selecting each meal combinations would be,

1) a starter dish and a main dish = 7 × 14

                                                     = 98  

2) a main dish and dessert = 14 × 9

                                             = 126

3) a starter dish, main dish and dessert dish

   = 7 × 9 × 14

  = 882

We need to find the total number of different ways to choose the meal.

= 98 + 126 + 882

= 1106

Therefore, there are 1106 different ways for him to choose the meal.

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The unknown quantity which is the radius has a length of  49752/π yards.

The formula for the length of arc is;

S = rθ

where;

r is radius

θ is the central angle in radians

Now, we are given;

θ = 3π/4

S = 4146 * 9 yards

Thus, making r the subject and solving gives;

r = S/θ

r = (4146 * 9)/(3π/4)

r = 49752/π

Thus, the unknown quantity which is the radius has a length of  49752/π yards.

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Answer:

-3<x<1

(-3,1)

Step-by-step explanation:

it is shown as (-3,1) because x is anything inbetween -3 and 1 and those numbers are not included so you use ( ) as opposed to [ ]

Step-by-step explanation:

what do you mean by "rule" ?

the line equation (in slope-intercept form ? or any other ?) ?

or only the slope of the line ?

I assume you need the slope-intercept line equation.

this looks like

y = ax + b

"a" is the slope of the line, "b" is the y-intercept (the y value when x = 0).

"b" we know already from the specified intercept points : 5.5

the slope of a line is simply the ratio

(y coordinate change / x coordinate change)

when going from one point on the line to another.

and the axis-intercept points are points on the line too. so, we can use them.

so, we see

x changes by +3.667

(= 3 2/3 = 3×3/3 + 2/3 = (3×3 + 2)/3 = 11/3)

from -3.667 to 0.

y changes by +5.5

(= 5 1/2 = 5×2/2 + 1/2 = (5×2 + 1)/2 = 11/2)

from 0 to 5.5

the slope is therefore

5.5 / 3.667 = 11/2 / 11/3 = 11/2 × 3/11 = 3×11 / 2×11 = 3/2

and so, the line equation is

y = 3/2 x + 5.5

or

y = 3/2 x + 11/2 = 1/2 × (3x + 11)

A composite number is a whole number greater than 1 that has more than two factors

Given,

The conditions,

We know, composite number is a number that has more than 2 factors

Prime number is a number that has two factors, one and itself.

Here, number is a whole number greater than 1 that has more than two factors

So, the given number is composite number

Hence, a composite number is a whole number greater than 1 that has more than two factors

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Answer:

Hope this helps :)

19/20 = 95/100 = 95%

9/16 = 0.5625 = 56.25%

0.4 = 4/10 → 40/100 = 40%

0.22 = 22/100 = 22%

la 2. es multiplicand 20 por 18 da 360 y ese número se multiplicand por 500 da 180000 . 3se suma y da 1025 la.4 se reparte en 9625 a cada amigo

Mathematicians use multiplicand to calculate the merchandise of two or more numbers.  it's a fundamental operation in mathematics that is frequently utilized in everyday life.  once we need to combine groups of similar sizes, we utilize multiplicand. On this page, let's study more about multiplicand.

The fundamental concept of repeatedly adding the same number is represented by the process of the multiplicand. The results of multiplying two or more numbers are referred to as the product of those numbers,  and therefore the factors that are multiplicand are referred to as the factors. Repeated addition of the identification number is made easier by multiplying the numbers.

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Answer:

5

Step-by-step explanation:

because 5x3=15

15 + 5 = 20

Answer:

5

Step-by-step explanation:

work backwards. Start with 20. minus 5 equals 15. Divide by 3 is 5.

double-check by going the other way.

5x3=15

15+5=20

The simplified radical expression for this problem is given by:

[tex]3x^2y^3z\sqrt[3]{3xz^2}[/tex]

To simplify the given radical expression, we divide all the exponents by 3, and the ones that can be simplified are placed outside the root, multiplying.

Looking at each term, we have that:

Thus, the simplified radical is given by:

[tex]3 \times \sqrt[3]{3} \times x^2 \times \sqrt[3]{x} \times y^3 \times z \times \sqrt[3]{z^2}[/tex]

[tex]3x^2y^3z\sqrt[3]{3xz^2}[/tex]

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The height of the silo is 56 feet.

Here, we are given that a large grain silo is to be constructed in the shape of a circular cylinder.

The diameter of the silo = 30 feet

⇒ The radius of the cylinder = 15 feet

and also the radius of the hemisphere = 15 feet

The volume of a hemisphere = 2πr^3/3

Volume = 2 × π × 15 × 15 × 15 × 1/3

Volume of cube = 2250π

Thus, the volume of cylinder = volume of the silo - volume of the hemisphere

= 11,475(3.14) - 2250π

π = 3.14

⇒ 11,475(3.14) - 2250(3.14)

3.14 (11,475 - 2250)

= 3.14 (9225)

= 9225π

Now, the volume of cylinder = πr^2h

Thus, 9225π = π(15) (15) h

9225π/ 225π = h

h = 9225/225

h = 41

Thus, the height of the cylinder = 41

The height of the silo will be the height of hemisphere + height of the cylinder = 15 + 41 = 56 feet.

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Answer: 12 free throws

Step-by-step explanation:

40 * 7/10=

280/10=28 free throws made

40-28=12 free throws missed

The value of a and the value of b is 6 and 5.

We can solve this problem by few steps, If we change the representation of power by replacing all powers according to √x or [tex] {x}^{1/2} [/tex]. We know that, [tex] {x}^{m/n × n/b } = {x}^{m/b} [/tex]

So, using this we can write, [tex] {4x}^{1/2 \times 6} + {x}^{1/2 \times 10/2} = {4 \sqrt{x} }^{6} + { \sqrt{x} }^{5} [/tex]..............(1)

Now if we compare the value of ( 1 ) with

[tex] {4 \sqrt{x} }^{a} + { \sqrt{x} }^{b} [/tex], we can easily find out the value of a and b and it is, a = 6 and b = 5

Thus, the value of a and b is 6 and 5.

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The complete question is -

Driven that 4x^ 3+x^ (5/2) all over √x can be written in the form 4√x^a+√x^ b, write down the value of a and the value of b.

The expression with rational exponents as a radical expression by extending the properties of integer exponents is, [tex]\sqrt[6]{3}[/tex]

The exponents that should be integers are those that are. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.

Given:

The given expression is,

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6} } }[/tex]

We know that,

[tex]\frac{x^{a} }{x^{b}}= x^{a-b}[/tex]

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}} = 3^{\frac{1}{3}-\frac{1}{6}}[/tex]

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=3^{\frac{1}{6} }[/tex]

Therefore,

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=\sqrt[6]{3}[/tex]

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There are 3 whole number with different values of x.

All positive integers from 0 to infinity are included in the group of numbers known as whole numbers. The number line has these numbers. They are all genuine numbers as a result. Although not all real numbers are whole numbers, we may argue that all whole numbers are real numbers. As a result, the set of natural numbers plus zero may be used to define whole numbers. The category of whole numbers and the negative of natural numbers is known as integers. Thus, integers can be either positive or negative, including 0. Natural numbers, whole numbers, integers, and fractions all fall under the category of real numbers.

Whole numbers refer to all natural numbers, including '0,' in their entirety. Examples include: 0, 11,1,2,3,4 etc

As stated in the question,

Then, in order to determine which values of "x" the given fraction is a square for, we must first locate them.

We are aware that the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Now, from the above factors of 48 only (3,12 & 48) of can give us a square number.

Therefore,

Hence, There are 3 whole number with different values of x.

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Answer:

$54

Step-by-step explanation:

6.75*8=54

Answer:54

Step-by-step explanation:8x6.75=54

The function that represents the total amount he charges is y = 80 + 65x and the total amount he charges for designing 5 rooms is $405

The given parameters are

Charge = $80

Rate = $65 per design

The function is then calculated as

y = Charge + Rate * x

Where

y represents the total amount

x represents the number of rooms

So, we have

y = 80 + 65x

Here, we have

x = 5

So, we have

y = 80 + 65 x 5

Evaluate

y = 405

Hence, the total amount he charges for designing 5 rooms is $405

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Answer:

The thousandths place.

Step-by-step explanation:

4 is furthest away from the decimal on the right side and it is in the thousandths place.

Kurt organized a bike race that was 84 miles long. All 469 riders completed the race. 39,396 miles were biked in all

Kurt organized a bike race = 84 miles long

All 469 riders completed the race

miles were biked in all :

Total miles =84 Multiply By 469

=39,396 miles

39,396 miles were biked in all

Miles :

A mile is a unit of distance equal to 1760 yards or approximately 1.6 kilometers

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A 84-mile cycling race that Kurt planned took place. The race was completed by all 469 cyclists. All told, 39,396 miles were pedaled

Kurt planned an 84-mile cycling race.

The race was completed by all 469 cyclists.

total number of miles cycled:

Miles total = 84; multiply by 469.

=39,396 miles

All told, 39,396 miles were pedaled

Miles:

Approximately 1.6 kilometers or 1760 yards make up a mile as a unit of measurement.

Answer:

74 , 138

Step-by-step explanation:

12 + 2 = 14

14 + 4 = 18

18 + 8 = 26

26+16 = 42

42+32= 74

74+64 =138

please make my answer as brainelist

Answer:

They have played 14 games

Step-by-step explanation:

5/8 and 2/8 is 7/8 of the time, but if 3/8 is 6 then 1/8 is 2, 2*7 is 14

Answer:

170 minutes

Step-by-step explanation:

Weekly gym sessions:

Therefore, the total time for all sessions is:

[tex]\begin{aligned}\implies \sf Total\:time & = \sf 2 \times 45 + 4 \times 30\\& = \sf 90 + 120 \\& = \sf 210 \:\:minutes\end{aligned}[/tex]

If Judy attended all sessions, yet

[tex]\begin{aligned}\implies \sf Total\:time\:Judy\:lost& = \sf 2 \times 10 + 4 \times 5\\& = \sf 20 + 20 \\& = \sf 40\:\:minutes\end{aligned}[/tex]

Therefore:

[tex]\begin{aligned}\implies \sf Total\:time\:Judy\:worked\:out & = \textsf{Total time of sessions}-\textsf{Total time Judy lost}\\& = \sf 210-40\\& = \sf 170\:\:minutes\end{aligned}[/tex]

So Judy worked out for a total of 170 minutes for the week

Answer:

2nd equation is correct.

Step-by-step explanation:

1) 2b + 24 = 30

→ 2(2) + 24 = 30

→ 4 + 24 = 30

→ 28 ≠ 30

Hence, it is false.

2) 3b - 2 = 4

→ 3(2) - 2 = 4

→ 6 - 2 = 4

→ 4 = 4

Hence, it is true.

3) B + 4 = 8

→ 2 + 4 = 8

→ 6 ≠ 8

Hence, it is false.

4) 2b - 3 = 0

→ 2(2) - 3 = 0

→ 4 - 3 = 0

→ 1 ≠ 0

Hence, it is false.

Answer:

Step-by-step explanation: