A system of equations is given below:

(x+1)^2 + (y-4)^2 = 9
y=x+2

Which choice represents a solution to this system of equations?

A. (-2,0)
B. (1,-1)
C. (2,4)
D. (-1,4)

The value of x will change because that is the price of the almonds

Therefore mx will change

And the value of mx+b will decrease because the price is cheaper

Answer:

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

Step-by-step explanation:

Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx

The total cost of the other ingredients is b dollars.

Hence, total cost is given as = [tex]mx+b[/tex]

Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.

So, now price is :[tex]\frac{m}{2}[/tex]

And total price for 'x' ounce will become: [tex]\frac{mx}{2}+b[/tex] dollars.

Therefore, if Todd purchases the almonds in the bulk section, the total cost  will decrease.

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

[tex]Solution, \frac{7}{\sqrt{5}}=\frac{7\sqrt{5}}{5}\quad \left(\mathrm{Decimal:\quad }\:3.13050\dots \right)[/tex]

Answer Choice A. [tex]7\cdot \frac{\sqrt{5}}{25}=\frac{7\sqrt{5}}{25}\quad \left(\mathrm{Decimal:\quad }\:0.62610\dots \right)[/tex]

Answer Choice B. [tex]35\sqrt{5}=78.26238\dots[/tex]

Answer Choice C. [tex]\frac{49}{\sqrt{35}}=\frac{7\sqrt{35}}{5}\quad \left(\mathrm{Decimal:\quad }\:8.28251\dots \right)[/tex]

Answer Choice D. [tex]7\cdot \frac{\sqrt{5}}{5}=\frac{7\sqrt{5}}{5}\quad \left(\mathrm{Decimal:\quad }\:3.13050\dots \right)[/tex]

The correct answer is D. 7√5/5

Hope This Helps!!!

The expression that is equal to the equation  7/√5 is 7√5/5. The fourth option is correct.

[tex]\mathbf{\dfrac{7}{\sqrt{5}}}[/tex]

In the given mathematical expression, fractions containing square roots are known as surds. They are usually no longer further simplified but they can be converted to decimal numbers with the use of calculators. Surds are commonly known as irrational numbers.

From the given expression, we are going to convert it to decimal numbers to determine the options that correspond to it.

[tex]\mathbf{\dfrac{7}{\sqrt{5}} = 3.1305}[/tex]

From the given options:

[tex]\mathbf{\dfrac{7 \sqrt{5}}{25} = 0.6261 }[/tex]

[tex]\mathbf{35 \sqrt{5} = 78.26}[/tex]

[tex]\mathbf{\dfrac{49}{\sqrt{35}} = 8.2825}[/tex]

[tex]\mathbf{\dfrac{7\sqrt{5}}{5} = 3.1305}[/tex]

Therefore, from the above solution, the fourth option correctly corresponds and is equal to the expression 7/√5

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The hottest temperature ever recorded on Earth was 134°F in Death Valley, California. If you were to multiply this temperature by 13.46, then the result would not provide a realistic temperature on Earth. This is due to the non-linear relationship of Fahrenheit or any temperature scale with its multiples.

The question seems to be asking whether, if the hottest recorded temperature in the world in degrees Fahrenheit is multiplied by 13.46, the result would be equal to ten times that same temperature. This arithmetic operation would not, in reality, be accurate in defining the world's hottest temperature. This is because Fahrenheit temperatures don't have a linear relationship with its multiples. For example, if the highest recorded temperature is 120°F, 10 times that would be 1200 and this temperature is not realistic on earth.

The hottest temperature ever recorded on Earth was 134°F (56.7°C) in Furnace Creek Ranch, Death Valley, California, USA on July 10, 1913. This temperature was recorded using a standard thermometer in a ventilated, shaded structure 1.5 meters above the ground, which is the standard method for measuring ambient temperature. Doubling or multiplying this figure as suggested wouldn't produce a viable result in real-world physics or climatology.

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Answer: D

Step-by-step explanation:

      f²i = -f²t + h

    +f²t  +f²t      

f²i + f²t =          h

f²(i + t) =  h

[tex]\frac{f^{2}(i + t) }{i + t} = \frac{h}{i + t}[/tex]

[tex]f^{2}= \frac{h}{i + t}[/tex]

[tex]\sqrt{f^{2} } = \sqrt{\frac{h}{i + t} }[/tex]

f = +/- [tex]{\sqrt{\frac{h}{i + t} }[/tex]

Answer:

10 years.

Step-by-step explanation:

Let Jerome, Keenan, and Leitha have ages of x,y and z respectively,.

Then given that x+y =18  ... i

                           x+z =19  ... ii

                           y+z = 21 ... iii

From the above information we are to find out y and i.e.Keenan age.

Add all the 3 equations

Left side becomes x+y+y+z+z+x = 2(x+y+z)

and right side becomes = 18+19+21 = 58

In other words, 2(x+y+z) = 58

Divide by 2

x+y+z =29  ... iv

From the equation iv subtract ii

x+z =19

We get y = 10

Hence Kennan age = 10 years

An infant sleep more than 2,380 minutes to adult sleep.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

An adult sleeps about 480 minutes per day.

An infant sleeps about 820 minutes per day.

Now,

An infant sleeps in a week = 7 x 820

                                         = 5,740

And, An adult sleep in a week = 7 x 480

                                               = 3,360

So, An infant sleeps more than adult in a week = 5,740 - 3,360

                                                                         = 2,380 minutes.

Thus, An infant sleep more than 2,380 minutes to adult sleep.

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2xa + 2xbc (just multiply both units in the paranthesis by whats on the outside.)

(a + bc)2x

= 2x*a + bc*2x

= 2ax + 2bcx

WRONG!

24 x 10 x 90

(24 x 10) x 90

  240     x 90

That is NOT the same as 2400 x 90

-i^2 = 1

so

x^2+25 = x^2 - 25i^2

= (x + 5i)(x - 5i)

The expression over complex numbers will be (x + 5i)(x - 5i).

Every complex number may be represented in the form a + bi, where a and b are real numbers.

A complex number is an element of a number system that extends the real numbers with a specific element labelled I sometimes known as the imaginary unit, and satisfies the equation i² = 1.

The given expression is x²+25.

i² = -1

x²+25 = x² - 25i²

x²+25 = (x + 5i)(x - 5i)

Therefore, the expression over complex numbers will be (x + 5i)(x - 5i).

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Divide the total amount withdrawn by the amount of each withdrawal for both people.

Elisa : 140 / 20 = 7 withdrawals.

Francis : 270 / 45 = 6 withdrawals.

Elisa made the most withdrawals because seven is greater than six.

a) Container z: 22 liters. b) Container x has 18 liters more than container z.

To solve this problem, let's first find the volumes of water in containers x, y, and z.

Let's represent the volume of water in container x as 5x liters and the volume of water in container y as 2x liters, based on the ratio given.

Then, according to the ratio of y to z, if the volume of water in container y is 2x, the volume of water in container z is (11/8) × 2x liters.

Now, we can set up an equation to find the value of x.

5x (container x) + 2x (container y) + (11/8 × 2x) (container z) = 78 liters

5x + 2x + (11/8 × 2x) = 78

5x + 2x + (11/4 × x) = 78

Multiplying through by 4 to clear the fraction:

20x + 8x + 11x = 312

39x = 312

x = 312 / 39

x = 8

Now, we can find the volumes of water in each container:

Container x = 5x = 5 × 8 = 40 liters

Container y = 2x = 2 × 8 = 16 liters

Container z = (11/8) × 2x = (11/8) × 16 = 22 liters

a) The amount of water poured into container s (assuming it was meant instead of "s" since "s" wasn't mentioned in the problem) is the volume of water in container z, which is 22 liters.

b) The difference in the amount of water poured into containers x and z:

Volume in container x - Volume in container z = 40 liters - 22 liters = 18 liters.

So, 22 liters of water was poured into container s, and 18 liters more water was poured into container x than into container z.

central angle of 360° is divided into 9 equal angles each with a measure

360°/9=40°

question answered by

(jacemorris04)

Answer:

Choice A: x^2−2x+4− 15/x+2

Step-by-step explanation:

The result of the division of the cubic polynomial x^3-7 by the binomial [tex]x+2 is x^2-2x+4 - 15/(x+2)[/tex], as obtained by carrying out the process of polynomial division.

The student is asking for the result of dividing a cubic polynomial, x^3-7, by a binomial, x+2. To do this, we need to perform polynomial division. The result of this division is [tex]x^2-2x+4 - 15/(x+2)[/tex]. We get this by setting up and performing the division, which operates similarly to long division, except that you are working with polynomials instead of numbers. The steps involved are too complicated to list here, but involve repeatedly subtracting multiples of x+2 from x^3-7 until the remainder is less than x+2, at which point you can't subtract more multiples of x+2.

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Answer:

August 20.

Step-by-step explanation:

1. The problem says that the invoice date is June 29 and terms of sale of [tex]\frac{4}{20}[/tex] EOM. This means that if the payment is made 20 days from the end of the month, a percent of 4% may be taken as cash discount.

2. If the number of days in that month is greater than 25, you must add another month. Therefore, you must add July and 20 days of August.

3. Therefore, the discount date is August 20.

The correct option is:   b. 3

Explanation

Middle 50% data means the "Interquartile Range" which is measured as the difference between the third quartile[tex](Q_{3})[/tex] and the first quartile[tex](Q_{1})[/tex] in a data set.

In the given box plot, we can see that:    [tex]Q_{1}= 4[/tex] and [tex]Q_{3}= 7[/tex]

So, the Interquartile range, [tex]IQR= Q_{3}-Q_{1} = 7-4= 3[/tex]

Thus, the range of the middle 50% of data will be 3.

Answer: 8

Step-by-step explanation:

Find the GCF of 16 and 24

16: 2 x 2 x 2 x 2

24: 2 x 2 x 2 x 3

GCF = 8

NOTE: Each basket will contain 2 white and 3 red ballons.

the radius is 8.917197452 in

A fair was attended by 834,009 people

Rounding up this number of people to nearest ten thousand.

9 has a 'ones' value

Going to the right from left:

Second last zero has a 'tens' value.

Third from last zero has a 'thousands' value

4 has 'ten thousands' value

Round up 4 and because it is less than five it converts to zero

This gives an answer of  830,000.

Answer:

$120

Step-by-step explanation:

First add the 10% back, to do so make it a decimal by moving the . over to the left twice.

Now setup the equation OP= New price/(1-discount)

91.80/(1-.10)=102

So the price before the 10% discount is $102

Now set it up again with the new numbers.

102/(1-.15)=120

So the original price before all discounts was $120

*Let p = original price

So firstly, how would we get the price when it's 15% off? You would find multiply the price by 0.15 (15% in decimal form) and then subtract the product from the original price. This can be represented as [tex](p-p\times0.15)[/tex]

Next, we would have to use the 10% off when the dress is already 15% off. The process is similar: Multiply 0.10 (10% in decimal form) with 15% off dress, then subtract the product from the 15% off price. This can be represented as [tex](p-p\times0.15)-0.10(p-p\times0.15)[/tex]

Now since the price is equal to $91.80, we would equal the prior expression to 91.80 as such: [tex](p-p\times0.15)-0.10(p-p\times0.15)=91.80[/tex] From here we can solve for p.

Firstly, solve the multiplication inside of the parentheses:

[tex](p-0.15p)-0.10(p-0.15p)=91.80[/tex]

Next, distribute -0.10 to (p - 0.15p):

[tex]p-0.15p-0.10p+0.015p=91.80[/tex]

Next, combine like terms:

[tex]0.765p=91.80[/tex]

Lastly, divide both sides by 0.765:

[tex]p=120[/tex]

The original price of the dress was $120.

Answer:

Mr Finds burns 101 calories in 60 minutes.

Step-by-step explanation:

We were given that Mr Finds burns [tex]808[/tex] calories in [tex]8[/tex] hours.

So we can write the ratio,

[tex]808:8[/tex]

At the same rate we want to find how many calories he burns in [tex]60[/tex] minutes.

This is equivalent to asking how many calories he burns in an hour.

Let [tex]x[/tex] represent the number of calories he burns in an hour. Since this should obviously be less than 808, we divide by 8 to get,

[tex]x=\frac{808\times 1}{8}[/tex]

[tex]\Rightarrow x=101[/tex]

Therefore Mr Finds burns 101 calories in 60 minutes.

Answer:

101 calories.

Step-by-step explanation:

We are told that while hiking, Mr.Finds burns 808 Calories in 8 hours.

To find calories burn by Mr. Finds in 60 minutes let us find calories burn per hour as 1 hour equals 60 minutes.  

[tex]\text{Calories burn in 1 hour}=\frac{808\text{ Calories}}{8\text{ Hours}}[/tex]

[tex]\text{Calories burn in 1 hour}=101\frac{\text{ Calories}}{\text{ Hour}}[/tex]

Therefore, Mr. Finds will burn 101 calories in 1 hour or 60 minutes.

Answer:

B. 1/(m-4)(m-3)

Answer:

[tex]\frac{1}{(m-3)(m-4)}[/tex]

Step-by-step explanation:

(m+3/m^2-16)/(m^2-9/m+4)

Lets factor the numerator and denominator

use identity a^2 - b^2 = (a+b)(a-b)

[tex]m^2 - 16= m^2 - 4^2 = (m+4)(m-4)[/tex]

[tex]m^2 - 9= m^2 - 3^2 = (m+3)(m-3)[/tex]

we have divisiion sign in  between, change the division symbol in to multiplication symbol by flipping the fraction in the denominator

(m+3/m^2-16)*(m+4/m^2-9)

[tex]\frac{m+3}{(m+4)(m-4)} * \frac{m+4}{(m+3)(m-3)}[/tex]

Cancel put m+3  and m+4  at the top and botom

[tex]\frac{1}{(m-3)(m-4)}[/tex]

- The rungs are perpendicular to the other side.

Answer:

The rungs are perpendicular to the other side.

Step-by-step explanation:

Given

The sides of ladder are parallel.Rungs is perpendicular to one side of the ladder.

Let [tex]a\parallel b[/tex]

[tex]a\perp c[/tex]

When two lines are parallel then the slopes of two lines are equal.

We can say [tex]m_1=m_2[/tex]

Where [tex]m_1[/tex]= slope of line a( side of ladder)

[tex]m_2[/tex]= solpe of line b( side of ladder)

When two lines are perpendicular then slopes of two lines are opposite reciprocal to each other.

We can say [tex]m_2=-\frac{1}{m_3}[/tex]

Where [tex]m_2[/tex]= Slope of line b

[tex]m_3 [/tex]=Slope of line c (rung)

By transitive property of equality we get

[tex]m_1=-\frac{1}{m_3}[/tex]

Hence, the slope of side of ladder  a and rung  c are opposite reciprocal to each other.Therefore , the rungs are perpendicular to the other side.

D, passes horizontal line test

this is simple graphing if you have a graphing calculator is easy put in the numbers and it is 1/11

Answer:

Step-by-step explanation:

I would say

(x+5)(x-5)(x+5i)(x-5i)

The factor of the expression x⁴ + 10x² + 25 is (x + √5i)(x - √5i) after using the factor method.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that:

The expression is:

= x⁴ + 10x² + 25

Let t = x²

= t² + 10t + 25

= (t + 5)²

= (x² + 5)²

x² = -5

x = ±√5i

(x + √5i)(x - √5i)

Thus, the factor of the expression x⁴ + 10x² + 25 is (x + √5i)(x - √5i) after using the factor method.

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