let x be an integer that satisfies x^4 + 24 = 105. what is the value of x^2 - 24?

Answer:

They both have the same slope.

They have different y- intercepts.

They have no solution.

Please let me know, if I am right or wrong. I try my best to give correct answers

Answer:

A

Step-by-step explanation:

The standard equation is

y = mx + c

Where m is the slope and c is the y intercept

The 1st equation y = -2x + 1/4

Comparing with standard equation

the slope m = -2 and c = 1/4

The 2nd equation y = -2x - 1/4

Comparing with standard equation

the slope m = -2 and c = -1/4

To check if it as a solution

y = -2x + 1/4.......(1)

y = -2x - 1/4........(2)

Substracting (2) from (1)

y - y = -2x + 2x + 1/4 + 1/4

No solution since both x and y were eliminated

Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

[tex]V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04[/tex]

Thus volume of candy is 113.04 cubic centimeter

The notation that we use really depends upon the problem. In most cases either is acceptable.

For the two functions that we started off this section with we could write either of the following two sets of notation.

f(x)=3x−2f−1(x)=x3+23g(x)=x3+23g−1(x)=3x−2f(x)=3x−2f−1(x)=x3+23g(x)=x3+23g−1(x)=3x−2

Now, be careful with the notation for inverses. The “-1” is NOT an exponent despite the fact that is sure does look like one! When dealing with inverse functions we’ve got to remember that

f−1(x)≠1f(x)f−1(x)≠1f(x)

This is one of the more common mistakes that students make when first studying inverse functions.

The process for finding the inverse of a function is a fairly simple one although there is a couple of steps that can on occasion be somewhat messy. Here is the process

That’s the process. Most of the steps are not all that bad but as mentioned in the process there are a couple of steps that we really need to be careful with.

In the verification step we technically really do need to check that both (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are true. For all the functions that we are going to be looking at in this section if one is true then the other will also be true. However, there are functions (they are far beyond the scope of this course however) for which it is possible for only of these to be true. This is brought up because in all the problems here we will be just checking one of them. We just need to always remember that technically we should check both.

There is one final topic that we need to address quickly before we leave this section. There is an interesting relationship between the graph of a function and its inverse.

Here is the graph of the function and inverse from the first two examples. We’ll not deal with the final example since that is a function that we haven’t really talked about graphing yet.

In both cases we can see that the graph of the inverse is a reflection of the actual function about the line y=xy=x. This will always be the case with the graphs of a function and its inverse.

https://tutorial.math.lamar.edu/classes/alg/inversefunctions.aspx

Answer:

1344cm^2

Step-by-step explanation:

Semi perimeter:

S = (a+b+c)/2

S=(56+60+52)/2

S=168/2

S=84

Area:

A=root S(S-56)(S-60)(S-52)

A=root 84(84-56)(84-60)(84-52)

A=root 84(28*24*32)

A=root 84(21504)

A=root1806336

A=1344cm^2

Answer:

Step-by-step explanation:

[tex]s=\frac{a+b+c}{2}=\frac{56+60+52}{2}=\frac{168}{2}=84 cm\\\\s-a=84-56=28 cm\\s-b=84-60=24 cm\\\\s-c=84-52=32 cm\\\\Area=\sqrt{s*(s-a)(s-b)(s-c)} \\\\=\sqrt{84*28*24*32}=\sqrt{7*12*7*4*12*2*4*2*2*2}\\\\=7*12*4*2*2=1344 sq.cm[/tex]

Answer:

$10.0

Step-by-step explanation:

We are given;

We are required to determine the price per dozen;

Therefore;

Thus;

3 muffins = $2.50

12 muffins = (12 ÷ 3) × $2.5

                 = 4 × $2.50

                 = $10.0

The Price of a dozen is thus $10.0

Step-by-step explanation:

I'm not certain but I believe it is 29

From 1 to 2015 the number with the highest digit sum is 1999. 1+9+9+9=28. Also digits can add up to all the numbers between 0 and 28 including 0 and 28, making 29 possible sums.

I don't fully understand the question but that is the best answer I can give from what I think they mean

Answer:

3, 6, 9

Step-by-step explanation:

When changing a fraction to a decimal, you divide the numerator by the denominator. For EX.

1/3= 1 divided by 3

1 divided by 3 is 0.3333333333333

1/6

1 divided by 6 is 1.6666666666666

1/9

1 divided by 9 is 0.1111111111111111111111

Answer:

Step-by-step explanation:

there is no question

30

Step-by-step explanation:

I would say 30 because I believe that bac yxz is just a bigger version of bac

Answer:

rtetrt343444

Step-by-step explanation:

rewrew

Mrs. Lin needs a total of [tex]6 \frac{13}{24} \text{ yards}[/tex] yards of fabric for all the costumes.

To find out how much fabric Mrs. Lin needs for all the costumes, we need to calculate the total yardage required for each type of costume and then sum them up.

Given:

- Bear costume requires 2 1/4 yards.

- Lion costume requires 1 2/3 yards.

- Zebra costume requires 2 5/8 yards.

Let's calculate the total yardage required for each type of costume:

1. Bear costume:

[tex]\[ \text{Yardage for bear} = 2 \frac{1}{4} \text{ yards} \][/tex]

2. Lion costume:

[tex]\[ \text{Yardage for lion} = 1 \frac{2}{3} \text{ yards} \][/tex]

3. Zebra costume:

[tex]\[ \text{Yardage for zebra} = 2 \frac{5}{8} \text{ yards} \][/tex]

Now, let's convert all these mixed numbers into improper fractions:

1. Bear costume:

[tex]\[ \text{Yardage for bear} = 2 + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \text{ yards} \][/tex]

2. Lion costume:

[tex]\[ \text{Yardage for lion} = 1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3} \text{ yards} \][/tex]

3. Zebra costume:

[tex]\[ \text{Yardage for zebra} = 2 + \frac{5}{8} = \frac{16}{8} + \frac{5}{8} = \frac{21}{8} \text{ yards} \][/tex]

Now, let's sum up the yardages for all the costumes:

[tex]\[ \text{Total yardage} = \text{Yardage for bear} + \text{Yardage for lion} + \text{Yardage for zebra} \][/tex]

[tex]\[ \text{Total yardage} = \frac{9}{4} + \frac{5}{3} + \frac{21}{8} \text{ yards} \][/tex]

To add these fractions, we need to find a common denominator, which is 24:

[tex]\[ \text{Total yardage} = \frac{9 \times 6}{4 \times 6} + \frac{5 \times 8}{3 \times 8} + \frac{21 \times 3}{8 \times 3} \][/tex]

[tex]\[ \text{Total yardage} = \frac{54}{24} + \frac{40}{24} + \frac{63}{24} \][/tex]

Now, let's add the fractions:

[tex]\[ \text{Total yardage} = \frac{54 + 40 + 63}{24} \][/tex]

[tex]\[ \text{Total yardage} = \frac{157}{24} \][/tex]

Now, let's convert the improper fraction to a mixed number:

[tex]\[ \text{Total yardage} = 6 \frac{13}{24} \text{ yards} \][/tex]

So, Mrs. Lin needs a total of [tex]6 \frac{13}{24} \text{ yards}[/tex] yards of fabric for all the costumes.

complete question given below:

Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes. Fabric costs $7.49 per yard. How much fabric does Mrs. Lin need?

Bear= 2 1/4 yards

Lion= 1 2/3 yards

Zebra= 2 5/8 yards

Answer:

If you are looking for the answer, it would be 3. If you are looking for the expression evaluated, it would be 4-(1^2) I think.

Step-by-step explanation:

Answer:

16ft

Step-by-step explanation:

18×2=36. 68-36=32. 32÷2=16

D) 8.7lbs

Subtract $2.50 from the total cost, because that's a fixed number, then do more math and boom, just like magic, it's solved.

Answer:

8.7 pounds

Step-by-step explanation:

7.29 = 2.5 + 0.55 w

0.55 w = 7.29 - 2.5

0.55 w = 4.79

w = 4.79 / 0.55

w. 8.7

Answer:

The perimeter of the polygon = 18 units

The area of the polygon will be [tex]A=18[/tex] square units

Step-by-step explanation:

Computing the Perimeter of the Polygon:

Considering the polygon with vertices

As the polygon is drawn in coordinate plane as shown in figure a.

From the attached figure a, we can observe that

So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.

The perimeter of the polygon = [tex]WZ + ZY + WX + XY[/tex]

                                                  = 3 + 6 + 6 + 3

                                                  = 18 units

Computing the Area of the Polygon:

Area can be calculated by multiplying the length and width of the polygon.

[tex]A=lw[/tex]

So, the area will be:

[tex]A=lw[/tex]

[tex]A=(3)(6)[/tex]

[tex]A=18[/tex]

Therefore, the area of the polygon will be [tex]A=18[/tex] square units

Keywords: area, perimeter, polygon

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Answer:

  ... divisible by 4

Step-by-step explanation:

Since 100 is divisible by 4, but 10 is not, any multiple of 100 will be divisible by 4. So to check for divisibility by 4, we need to look at the last two digits.

If the last two digits are divisible by 4, the number will be divisible by 4.

_____

A number divisible by 4 will look like one of ...

  {odd}{2, 6}

  {even}{0, 4, 8}

Answer:

7/12

Step-by-step explanation:

1 is equivalent to 4/4.

3/4 + 4/4 = 7/4.

After converting 1 and 3 quarters to a mixed number, multiply the top two numbers and bottom two numbers.

7 * 1 in the numerator and 3 * 4 in the denominator gets you 7/12.

Answer:

Step-by-step explanation:

[tex]1\frac{3}{4}*1\frac{1}{3}=\frac{7}{4}*\frac{4}{3}\\\\=\frac{7}{3}=2\frac{1}{3}[/tex]

128 pieces can be made after cutting the chain

Solution:

Given that, Amy cut 32 ft of chain into pieces that were each 1/4 ft long

To find: Number of pieces after cutting the chain

From given,

[tex]\text{Total length of chain } = 32 \text{ feet }\\\\\text{Length of 1 piece } = \frac{1}{4} \text{ feet }[/tex]

Thus the number of pieces after cutting the chain can be found by dividing the total length of chain by length of 1 piece

[tex]\text{Number of pieces} = \frac{\text{Total length of chain}}{\text{Length of 1 piece }}[/tex]

Substituting the values, we get

[tex]\text{Number of pieces} = \frac{32}{\frac{1}{4}}\\\\\text{Number of pieces} = 32 \times 4 = 128[/tex]

Thus 128 pieces can be made after cutting the chain

Answer:

128

Step-by-step explanation:

Answer:

The simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

To simpify the given expression :

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}z}{2x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}zx^{-9}y^{-4}z^5}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9x^4.x^{-9}y^{-7}y^{-4}z.z^5}{2}[/tex]

[tex]=\frac{9x^{4-9}y^{-7-4}z^{1+5}}{2}[/tex] ( using the property [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=\frac{9x^{-5}y^{-11}z^{6}}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore the simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Answer:

-1

Step-by-step explanation:

Answer:hahah

Step-by-step explanation:Hahha

Answer:

The solved given equation

[tex](\frac{x+2}{5})+(\frac{x+1}{3})=(\frac{x-3}{10})-2[/tex]  is x=-7

Step-by-step explanation:

Given equation is [tex](\frac{x+2}{5})+(\frac{x+1}{3})=(\frac{x-3}{10})-2[/tex]

To solve the given equation as below :

[tex](\frac{x+2}{5})+(\frac{x+1}{3})=(\frac{x-3}{10})-2[/tex] ( by using the distributive property )

[tex]\frac{3x+6+5x+5}{15}=\frac{x-3-20}{10}[/tex] ( adding the like terms )

[tex]\frac{8x+11}{15}=\frac{x-23}{10}[/tex]

Multiply into (10(15) on both sides we get

[tex]\frac{8x+11}{15}\times (10)(15)=\frac{x-23}{10}\times (10)(15)[/tex]

[tex](8x+11)\times (10)=(x-23)\times (15)[/tex] ( by using the distributive property )

[tex]80x+110-15x+345=0[/tex] ( adding the like terms )

[tex]65x+455=0[/tex]

[tex]65x=-455[/tex]

[tex]x=-\frac{455}{65}[/tex]

Therefore x=-7

Therefore the solved given equation is x=-7

Answer:

5.291502622129 (feel free to round if needed)

the geometric mean of 2 and 14 is 2√7.

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given two  numbers whose geometric mean needed to calculate

From the formula of Geometric mean

GM = [tex]\sqrt[n]{x_{1} x_{2} x_{3} ....x_{n} }[/tex]

Where GM = geometric mean

n = number of values

Xi = values to average

Thus,

GM = √(2 *14)

GM = 2√7

therefore,  the geometric mean of 2 and 14 is 2√7.

Learn more about Geometric progression here:

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Because the equation has an [tex]\boxed{\text{exponent of 2}}[/tex], it [tex]\boxed{\text{cannot}}[/tex] be written in the form y = mx+b

When the equation is graphed, the rate of change between different pairs of coordinates on the graph [tex]\boxed{\text{varies}}[/tex] so the graph of the equation is a [tex]\boxed{\text{curve}}[/tex]

Therefore, the equation represents a [tex]\boxed{\text{nonlinear}}[/tex] function.

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So in short, y = 9x^2+19 is not linear because it graphs out a curve that isn't a straight line.

More info: The equation y = 9x^2+19 is a quadratic function as the exponent of 2 is the largest exponent. The degree is 2 for the same reason. A parabola will be graphed in this case, which is a curved bowl-like shape. The lowest point of this parabola is at (0,19) which is also the y intercept. There are no x intercepts as this parabola is entirely above the x axis and it goes on forever upward. See the diagram below for the graph of y = 9x^2+19.

The equation y=9x²+19 represents a nonlinear function because it has an exponent of 2, which means it cannot be written in the linear form of y=mx+b. The graph of this equation is a curve, indicating a varying rate of change unlike a straight line which indicates a linear function.

The given equation is y=9x²+19. Because the equation has an exponent of 2, it cannot be written in the form y=mx+b, which is the standard form of a linear equation. In linear function, the highest exponent is 1.

When the equation is graphed, the rate of change between different pairs of coordinates on the graph varies. So, the graph of this equation forms a curve. Linear functions have constant rates of change and their graph is a straight line.

Therefore, given the criteria, the equation y=9x²+19 represents a nonlinear function.

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Answer: x<16

Step-by-step explanation: Mason subtracted 5 from 11 and got 6, when he really should have added 5 to 11 to get x<16.

Answer:

19

Step-by-step explanation:

4+5x

Since x=3

4+5(3)

4+15

19

Answer:

The answer is: letter A, Peacefulness

Explanation:

Mary Shelley is the author of the book entitled, "Frankenstein." The story of the book centers on "Victor Frankenstein," a scientist and his monster creation.  This creation of his, later on, asked for a female companion by threatening him. Victor, reluctantly, agreed on this under the monitoring of the creature. In the end of the story, Victor and his men in the ship were trapped in ice.

While Victor was on his journey to Geneva after his brother (William Frankenstein) died, he spoke in the passage above, "I contemplated the lake; the waters were placed; all around was calm, and the snowy mountains, 'the palaces of nature,' were not changed." This made him think how much nature brings peace to his soul that even after turmoil, he felt comforted by nature. Although he dreads to go back, the thought of the calm nature made him continue his journey.

Thus, this explains the answer, "Peacefulness."

Answer:

three fourths is greater xx.

Step-by-step explanation:

The problem is asking to identify how many years would each color light last. We know that a red light turns on 50% of the time, a green light is 42% of the time, and yellow is 8% of the time. Each light lasts 100,000 hours.

Although this question gives a lot of information, we really don't need the percentages of the lights. They simply are there to throw you off. Each light lasts 100,000 hours. We will use the following conversions:

1 day = 24 hours

1 year = 365 days

100,000 hours divided by 24 hours = 4166.67 days

4166.67 days divided by 365 days = 11.4 years (the 4 is 4 months).