Question 9 of 10
Which of the following lists of ordered pairs is a function?
OA. (2, 5), (3, 6), (6,9)
OB. (2, 5), (3, 6), (2, 1)
C. (-1, 2), (2, 3), (3, 1), (2, 5)
O D. (1, 2), (4, 0), (3, 5), (4,3)

If block has length 100 yards and breadth 76 yards then we have to drive 5 times to drive one mile.

Given The length of block is 100 yards, the breadth of block is 76 yards.

We have to find number of times we need to drive one mile.

The perimeter of a rectangle= 2(length +breadth)

length is 100 yards

Breadth is 76 yards

perimeter=2(100+76)

=2*176

=352 yards.

We know that 1 mile is equal to 1760 yards.

We have to find number of times to drive 1 mile=1760/352

=5 times.

Hence we have to drive 5 times around the block which have length 100 yards and breadth 76 yards.

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Answer:

The sum of three consecutive even integers is 96

31+32+33=96

Answer:

{(-3, 16),(0, 15),(3, 14)}

Step-by-step explanation:

just plug in the points for x and y and solve to see if 15 is the answer you get for all of them which would give you B as your answer

numbers like 0 and 1 and 3 (because it would cancel 1/3x) are good numbers to do quick math with

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(a) The side length of the square is 8 m, so its area is 64 square m.

(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.

(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.

If the height of prism is 6 inches and the volume is 144 cubic inches then the lengths of the diagonals of the rhombus will be 6 by 8 inches.

Given right prism has a rhombus as a base. Height of prism is 6 inches and the volume of prism is 144 cubic inches.

A right prism is a prism in which the edges and faces are perpendicular to the base faces.

Volume is the amount of substance a container can hold in its capacity.

Volume of right prism=area of base* height

=[tex]1/2 * d_{1}* d_{2} *6[/tex]

144=(144*2)/6 * [tex]d_{1} d_{2}[/tex]

(144*2)/6=[tex]d_{1} *d_{2}[/tex]

By options we get that the lengths of diagonals could be 6 inches by 8 inches.

Hence the length of diagonals be 6 inches and 8 inches.

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Answer: Hence the length of diagonals be 6 inches and 8 inches.

Step-by-step explanation:

(edg) got it right on test

Answer:

The ac product of [tex]35x^2+41x+12[/tex] is 420.

The factors of the ac product that add to 41 are 20 and 21.

[tex]35x^2+41x+12 =[/tex] [tex](7x+4)(5x+3)[/tex]

Step-by-step explanation:

1) The general form of a quadratic is [tex]ax^2 + bx + c[/tex]. Hence, multiplying 35 by 12 gives you the product of ac, which is 420.

2) We need to find two numbers that multiply to 420 and add up to 41 simultaneously. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.

3) Write [tex]41x[/tex] as a sum.

[tex]35x^2+20x+21x+12[/tex]

Now, we can factor them out by grouping.

[tex]35x^2+20x+21x+12\\5x(7x+4)+3(7x+4)[/tex]

Since, [tex]7x +4[/tex] is common in both of the factors, we only take one of the [tex]7x+4[/tex] along with [tex]5x[/tex] and [tex]3[/tex].

[tex](7x+4)(5x+3)[/tex]

Answer:

[tex]\text{The ac product of }\: 35x^2+41x+12 \text{ is }\boxed{420}\:.[/tex]

[tex]\text{The factors of the ac product that add to 41 are }\:\boxed{20} \: \text{ and }\: \boxed{21}\:.[/tex]

[tex]35x^2+41x+12=\left( \: \boxed{5}\:x+\:\boxed{3}\:\right)\left(\: \boxed{7}\:x+\boxed{4}\:\right)[/tex]

Step-by-step explanation:

Given quadratic:

[tex]35x^2+41x+12[/tex]

Factoring quadratics by grouping

To factor a quadratic in the form [tex]ax^2+bx+c[/tex],  find two numbers that multiply to ac and sum to b.

[tex]\implies ac=35 \cdot 12 = 420[/tex]

[tex]\implies b = 41[/tex]

Therefore, the two numbers that multiply to 420 and sum to 41 are:
20 and 21

Rewrite b as the sum of these two numbers:

[tex]\implies 35x^2+20x+21x+12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 5x(7x+4)+3(7x+4)[/tex]

Factor out the common term [tex](7x+4)[/tex] :

[tex]\implies (5x+3)(7x+4)[/tex]

Conclusion

[tex]\text{The ac product of }\: 35x^2+41x+12 \text{ is }\boxed{420}\:.[/tex]

[tex]\text{The factors of the ac product that add to 41 are }\:\boxed{20} \: \text{ and }\: \boxed{21}\:.[/tex]

[tex]35x^2+41x+12=\left( \: \boxed{5}\:x+\:\boxed{3}\:\right)\left(\: \boxed{7}\:x+\boxed{4}\:\right)[/tex]

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Diego's height is 7 units

The statement is given as:

77 is the product of 7 and Diego's height

This means that:

77 = 7 * d

Divide both sides by 7

d = 11

Hence, Diego's height is 7 units

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By completing the square, we have

[tex](x+1)(x+4) = x^2 + 5x + 4 = \left(x+\dfrac52\right)^2 - \dfrac94[/tex]

[tex](x+2)(x+3) = x^2 + 5x + 6 = \left(x + \dfrac52\right)^2 - \dfrac14[/tex]

Then

[tex](x+1)(x+2)(x+3)(x+4) = \left(x+\dfrac52\right)^4 - \dfrac52 \underbrace{\left(x + \dfrac52\right)^2}_{=y} + \dfrac9{16} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = y^2 - \dfrac52 y + \dfrac9{16} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \left(y - \dfrac54\right)^2 - 1 \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \left(\left(x + \dfrac52\right)^2 - \dfrac54\right)^2 - 1[/tex]

This product has a minimum of -1 when

[tex]\left(x + \dfrac52\right)^2 - \dfrac54 = 0[/tex]

which has two real solutions; then the minimum of the overall expression is -1 + 2019 = 2018.

Using the Fundamental Counting Theorem, there are 65,536 outcomes possible for the season record.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For this problem, the parameters are given as follows:

[tex]n_1 = n_2 = \cdots = n_{16} = 2[/tex]

Then the number of ways is:

[tex]N = 2^{16} = 65,536[/tex].

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la longitud del jardín del amigo de Carmen es 18 m 22 cm.

Una ecuación se forma cuando dos expresiones algebraicas se igualan usando un signo igual.

Se da que la longitud de Carme

Se sabe que la longitud del jardín de Carmen es de 15 m 24 cm.

y el largo del jardín de su amigo es 2 m 98 cm más largo que el de Carmen.

Sea La longitud del jardín de Carmen es x m

Entonces la ecuación se convierte en

La longitud del jardín de su amigo = x + 2m 98 cm

ahora ,

x = 15m 24cm

Sustituyendo los valores en la ecuación

La longitud del jardín de su amigo = 15m 24cm + 2m 98 cm

1m = 100cm

La longitud del jardín de su amigo = 17 m 122 cm

as 100 cm = 1m

122 cm = 1 m 22 cm

so ,

La longitud del jardín de su amigo = 18 m 22 cm.

Por lo tanto, la longitud del jardín del amigo de Carmen es 18 m 22 cm.

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Answer:

[tex]\frac{-D}{4a}[/tex]

Step-by-step explanation:

y-coordinate is [tex]\frac{-D}{4a}[/tex] where a is coefficient of quadratic polynomial (ax^2+bx+c) and D is discriminant of the quadratic equation when you equate it to zero.

The sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

The sets are given as:

U = The set of one-digit numbers

A = {x: x is an even natural number less than or equal to 9}

One-digit numbers are numbers 0 - 9.

So, we have

U = {0, 1, 2, 3.....,9}

Natural numbers are numbers from 1.

Even natural numbers can be divided by 2 without remainder'

So, we have

A = {2, 4, 6, 8}

Hence, the sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

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Answer:

Step-by-step explanation:

Answer:

[tex]1 \frac{125001}{200000}[/tex] or 1.625005

Step-by-step explanation:

To find a number between two numbers, if you're allowed to pick any number you want between those two numbers, one natural choice is the midpoint... the point that is exactly halfway between the two numbers.

Finding a midpoint

To find the midpoint of two numbers, divide their sum by 2:

[tex]\text{midpoint}=\dfrac{\text{first number}+\text{second number}}{2}[/tex]

It is convenient to have both numbers in decimal form or both numbers in fraction form for adding and dividing by 2.

Fraction form:

To convert 1.62501 to a fraction, we note that the last decimal digit is in the hundred-thousandths place, so we'll need a fraction with 100,000 in the denominator.

[tex]1.62501=1\frac{62501}{100000}[/tex]

Using our midpoint formula:

[tex]\text{midpoint} = \dfrac{ 1 \frac{5}{8} + 1 \frac{62501}{100000} } {2}[/tex]

find a common denominator...

[tex]\text{midpoint} = \dfrac{ 1 +(\frac{5}{8})*\frac{12500}{12500} + 1 +\frac{62501}{100000} } {2}[/tex]

[tex]\text{midpoint} = \dfrac{ 1 + \frac{62500}{100000} + 1 +\frac{62501}{100000} } {2}[/tex]

combining like terms...

[tex]\text{midpoint} = \dfrac{ 2 +\frac{125001}{100000} } {2}[/tex]

rewriting the division as multiplication of a reciprocal....

[tex]\text{midpoint} = \left(2 +\frac{125001}{100000} \right) *\dfrac{1}{2}[/tex]

distributing...

[tex]\text{midpoint} = \left(2 *\dfrac{1}{2} +\frac{125001}{100000} *\dfrac{1}{2}\right)[/tex]

[tex]\text{midpoint} = 1 +\frac{125001}{200000}[/tex]

[tex]\text{midpoint} = 1 \frac{125001}{200000}[/tex]

So, [tex]1 \frac{125001}{200000}[/tex] is the midpoint of the two numbers, and is a number that is between them.

Decimal form:

To convert [tex]1 \frac{5}{8}[/tex]  to a decimal, we divide 5 by 8.  5 divided by 8 is 0.625.

So, [tex]1 \frac{5}{8}=1.625[/tex]

To find a midpoint of 1.625 and 1.62501, we use our midpoint formula:

Using our midpoint formula:

[tex]\text{midpoint} = \dfrac{ 1.625 + 1.62501} {2}[/tex]

[tex]\text{midpoint} = \dfrac{ 3.25001} {2}[/tex]

[tex]\text{midpoint} =1.625005[/tex]

So, 1.625005 is midpoint of the two numbers, and is a number that is between them.

Extension with decimals:

Knowing the decimal form of the two numbers, 1.625 and 1.62501, we can include trailing zeros at the end of these numbers (since it is to the right of the decimal point), so that 1.625 is equivalent to 1.625000, and 1.62501 is equivalent to 1.625010.

Note that the last two digits are in the millionths place, and that changing the digit in the millionths place for the first number (while leaving all other digits as they are) will also be a number between the two numbers (all 9 of the numbers with a star written below):

1.625000

1.625001*

1.625002*

1.625003*

1.625004*

1.625005*

1.625006*

1.625007*

1.625008*

1.625009*

1.625010

The equivalent expression of -2x + 5 is 5 - 2x

The expression is given as:

-2x + 5

The symmetry rule of expression states that:

a + b = b + 1

So, we have:

-2x + 5 = 5 - 2x

Hence, the equivalent expression of -2x + 5 is 5 - 2x

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Answer:

66 chairs

Step-by-step explanation:

Total number of chairs = 594

Total number of rows = 9

Number of chairs per row

= 594/9

= 66 chairs

__________

Hope it helps ⚜

Answer:

if the red line is included it is a. if the red line is excluded it is C. I believe.

Answer:

A

Step-by-step explanation:

the equation of the line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-3}{0-(-3)}[/tex] = [tex]\frac{-2}{0+3}[/tex] = - [tex]\frac{2}{3}[/tex]

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - [tex]\frac{2}{3}[/tex] x + 1 ← equation of line

the solutions to the inequality lie above the line, including the line, in the shaded area , then

y ≥ - [tex]\frac{2}{3}[/tex] x + 1 → A

Using the profit concept, we have that:

Profit is given by revenue subtracted by costs.

In this problem, we have that:

Hence the expression for the profit is given as follows:

P(x) = R(x) - C(x)

P(x) = 90x - 0.5x² - 50x - 300

P(x) = -0.5x² + 40x - 300.

A profit of $300 is found when P(x) = 300, hence:

300 = -0.5x² + 40x - 300

0.5x² - 40x + 600 = 0.

x² - 80x + 1200 = 0.

(x - 60)(x - 20) = 0.

Hence the values are:

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Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

Let's put that into action:

    [tex]\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }[/tex]<== Answer

Hopefully that helps!

Answer:

I don't know if you have any questions or need any further information please contact me your Telugu movie review poster

Answer:

(h + k) (2) = 5

Step-by-step explanation:

[tex]h(x) = x{^2} + 1 \space\ \space\ \space\ \space\ \space\ \space\ \space\ k(x) = x -2\\\\[/tex]

(h + k) (x) = h(x) + k(x)

               = x² + 1  +  x - 2

               = x² + x -1

∴ (h + k) (2) = (2)² + 2 -1

                  = 5

The line with slope = 2 will be closer to the y-axis than the line with slope = 1/2

The slopes are given as:

Slope = 2

Slope = 1/2

The greater the absolute value of the slope of a linear equation.

The closer the function is to the y-axis

This means that the line with slope = 2 will be closer to the y-axis than the line with slope = 1/2

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Answer:

1.08 meters

Step-by-step explanation:

Divide by 100 to find this out. 108/100 = 1.08

You can remember this by knowing that the "centi-" prefix means 100 (technically, 100ths). Just like you probably already know 100 cents in a dollar (USD) or 100 years in a century. Even the "cent" in percent means per hundred. There are 100 centimeters in a meter. A centimeter is about as wide as your little finger. A meter is close to a yard.

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Answer:  [tex]\textsf{0.108 meters}[/tex]

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Given:  [tex]\textsf{108 centimeters}[/tex]

Find:  [tex]\textsf{Covert to meters}[/tex]

Solution:  In order to convert centimeters to meters we need to divide the amount of centimeters by 100 since there are 100 centimeters in one meter.  After doing 108/100 we get 1.08 meters.

Answer:

x = -8/3

Step-by-step explanation:

-5(-3x+1)=-45

⇔ 15x - 5 = -45  (left side of the equation expanded)

⇔ 15x = -45 + 5 (add 5 to both sides)

⇔ 15x = -40

⇔ x = -40/15    (Divide both sides by 15)

⇔ x = -8/3  (simplify)

At the end of the third day, the new reading on the odometer will be 12,578 mi

The initial odometer reading is 12,386 miles.

Then, the driver takes drives to and from work, such that each trip is 32 miles. Then each day he drives 2*2mi = 64 miles.

And he does this for 3 days, then the total distance driven is:

3*64mi = 192 miles.

At the end of the third day, the new reading on the odometer will be:

R = 12,386 mi + 192mi = 12,578 mi

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Answer:

[tex]10^{0.4785+1.468x}=y[/tex]

Step-by-step explanation:

So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: [tex]log(y)=0.4785+1.468x[/tex]. And generally a logarithm can be written in the form [tex]log_ba=c[/tex] which can then be rewritten as [tex]b^c=a[/tex], but since the log has no base, it's assumed to be 10. So in this case you have the equation:

[tex]log_{10}y=0.4785+1.468x[/tex], which can then be written in exponential form as:

[tex]10^{0.4785+1.468x}=y[/tex]

Answer:

61.75

Step-by-step explanation:

1900x0.03x1.08333333=61.75

Simple As you can see 12 cookies are there and 3 children are there so

1 children will have = 12 ÷ 3

= 4

like this each kid will have 4 cookies where 4>2

Answer:

is the a. Perpendicular lines form 90° angles.