A number is at least three. Which of the following number lines represents this statement?

Answer:

17.10

Step-by-step explanation:

Take the total cost and divide by the number of bottles

68.40/4

17.10

Answer:

{-1, 1, 3}

Step-by-step explanation:

They are odd and they are integers.

The initial value for Relationship 2 is -10.

To find the initial value for Relationship 2, let's first identify what we know about the two relationships. Relationship 1 has an initial value of 5 and a rate of change of 3/2.

This means that for every unit increase in the input variable, the output variable will increase by 3/2 units. Relationship 2 has a rate of change of 5/6, which means that for every unit increase in the input variable, the output variable will increase by 5/6 units.

We also know that both relationships have the same output value of 50 when their input value is the same. This means that we can set the two relationships equal to each other and solve for the initial value of Relationship 2.

Let's represent the input variable with the letter x. Then, we can write the two relationships as follows:

Relationship 1: y = 3/2x + 5 (where y represents the output value)Relationship 2: y = 5/6x + b (where b represents the initial value)Since we know that both relationships have an output value of 50 when their input value is the same, we can set the two equations equal to each other and solve for b.

This gives us:3/2x + 5 = 5/6x + bb = 50 - 5/6xNow, we need to determine the value of x that makes both relationships have an output value of 50. We can set the two equations equal to each other and solve for x. This gives us:3/2x + 5 = 50 - 5/6x9/6x + 5 = 50 - 5/6x15/6x = 45x = 18

Now that we know x is 18, we can plug this value into either of the equations to solve for b. Let's use the equation for Relationship 2:y = 5/6x + by = 5/6(18) + bb = 5/6(18) - 50b = -10

Therefore, the initial value for Relationship 2 is -10.

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Answer:

f(x)^-1=[tex]\sqrt[3]{x}[/tex]-1

f(x)=x^3+1+3x^2+3x

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

This question is asking you for the value of the expression when you replace x and y with it's numerical values.

X is equivalent to -5 which means we can replace x with -5, same story with y but different number.

Now that you know this, you can put this into your calculator to spit out a result.

[tex]\frac{5|(-5)|-3(25)}{-5}=10[/tex]

Answer:

3,120

Step-by-step explanation:

Answer:

(52) is the answer

Step-by-step explanation:

it may help you to understand.if you are looking for their number then it is 2.

Answer:

neither

Step-by-step explanation:

using (y2-y1)/(x2-x1) you get the actual slopes which are JK = 3/2 and LM = -3/2

since they are neither the same (parallel), opposite reciprocals (perpendicular), they are neither parallel nor perpendicular

Answer:

least common denominator is 72

8 goes into 72 9 times

9 goes into 72 8 times

12 goes into 72 6 times

Step-by-step explanation:

Answer:

b. slope: -5; y-intercept: 7

Step-by-step explanation:

We are given the equation:

y + 5x = 7

To find the slope and y-intercept of the line, it would be helpful to get the equation into slope-intercept form. The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Lets get the given equation into slope-intercept form.

y + 5x = 7

Subtract 5x from both sides.

y = -5x + 7

Now we have the equation in slope-intercept form. By looking at the equation, we can see that the slope is -5 and that the y-intercept is 7.

The correct answer choice would be b.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

gradient or steepness

Answer:

gradient, steepness,

Step-by-step explanation:

Answer:

Answer:

1

Step-by-step explanation:

Answer:

Therefore, Eric earned $7

Step-by-step explanation:

Robert earned $10, which was 4 less than twice what Eric earned. How much money did Eric earn?

Let the number of money Eric earned = x

So we have:

$10 = 2× x - 4

10 = 2x - 4

Collect like terms

2x = 10 + 4

2x = 14

Divide both sides by 2

x = 14/2

x = $7

Therefore, Eric earned $7

The matrix Transformation for ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4 is:\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}.

A dilation is a type of matrix transformation that changes the size of a geometric figure, but not its shape, by multiplying all its coordinates by a constant factor.

To identify the matrix transformation of ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3),

for a dilation by a factor of 1/4, we will first find the center of a dilation using the formula:

(x,y)\rightarrow (\frac{1}{4}x,\frac{1}{4}y)

Since this is a dilation with a center of origin, the center of dilation is (0, 0).

Next, we will find the image of each vertex by multiplying its coordinates by the dilation factor:

F(0, -1) becomes (0, -1/4)G(5, -1) becomes (5/4, -1/4)H(4, 3) becomes (1, 3/4)

Therefore, the vertices of the image are F’(0, -1/4), G’(5/4, -1/4), and H’(1, 3/4).

The matrix transformation for the dilation by a factor of 1/4 is:

\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}

So, the matrix transformation for ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4 is:\begin{pmatrix}x'\\y'\end{pmatrix}=\begin{pmatrix}1/4 & 0\\0 & 1/4\end{pmatrix}\begin{pmatrix}x\\y\end{pmatrix}.

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Answer:

the answer is d

Step-by-step explanation:

i took it on usatestprep.

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

The vertex of this parabola, [tex](-2, 3)[/tex], can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

[tex]g(x) = a\, (x - h)^2 + k[/tex],

where [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at [tex](h,\, k)[/tex].

The vertex form can be expanded to obtain:

[tex]\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}[/tex].

Compare that expression with the given equation of this parabola. The constant term, the coefficient for [tex]x[/tex], and the coefficient for [tex]x^2[/tex] should all match accordingly. That is:

[tex]\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right.[/tex].

The first equation implies that [tex]a[/tex] is equal to [tex]3[/tex]. Hence, replace the "[tex]a\![/tex]" in the second equation with [tex]3\![/tex] to eliminate [tex]\! a[/tex]:

[tex](-2\times 3)\, h = 12[/tex].

[tex]h = -2[/tex].

Similarly, replace the "[tex]a[/tex]" and the "[tex]h[/tex]" in the third equation with [tex]3[/tex] and [tex](-2)[/tex], respectively:

[tex]3 \times (-2)^2 + k = 15[/tex].

[tex]k = 3[/tex].

Therefore, [tex]g(x) = 3\, x^2 + 12\, x + 15[/tex] would be equivalent to [tex]g(x) = 3\, (x - (-2))^2 + 3[/tex]. The vertex of this parabola would thus be:

[tex]\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}[/tex].

Answer:

Im pretty sure its C.

Step-by-step explanation:

because 8/2 could be 8 to the power of 2

sorry if wrong :(

Answer:

A)  Mr. Simpson's class; it has a larger median value 14.5 pencils.

Step-by-step explanation:

A box plot is a visual display of the five-number summary:

From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:

Mr Johnson's class:

Mr Simpson's class:

In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.

The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.

The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).

As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.

In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.

Answer: 1.25%

Step-by-step explanation:

Given: A movie with an aspect ratio of 1.8:1  shown as a letter-boxed image.

Since a for l:b , Area = l x b

Area of letter box = 1.8 x 1 = 1.8 sq. units

Screen's ratio= 16:9

Area of screen = 16 x 9 = 144 sq. units

The percent of the screen's area that is occupied by the  image =[tex]\dfrac{1.8}{144}\times100=1.25\%[/tex]

Hence, the percent of the screen's area that is occupied by the

image. =1.25%

Answer: The answer is C

Step-by-step explanation:

1.2% is basically 0.012. 12% is 0.12 and then 1.02 and 1.2. what i'm trying to get at here is when you are working with percents, 100% is 1. so anything below that is going to be a decimal, for an example, 34% would be 0.34, and 68% would be 0.68. Also 0.18% would be 0.0018. Once you know how to convert percentages to decimals, doing those kind of questions is pretty easy.

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer: k = 3

Step-by-step explanation:

1. Find the x of x-1 (which is 1)

2. Plug 1 into the function P(x) and solve.

2(1)^4 - (1)^3 + 2(1)^2 - k = 3 - k

3. Set 3 - k = 0 and solve.

Answer:

  the end behavior of h(x) matches the end behavior of x

  3 zeros, 2 turns

Step-by-step explanation:

The polynomial is of degree 3, so will have a maximum of ...

Because the degree is odd the signs of the end values of h(x) will be different. Because the leading coefficient is positive, the signs of the end values of h(x) will match the sign of x:

9

the square root of 1690 is 41.109... so, now take the 41 and square it: 41² = 1681.

1690 - 1681 = 9

Answer:

cancel the terms and you will get the answer which is 2

Answer:

i hope i have been useful buddy.

good luck

Answer:

5 divide by 6 is the axanimer times the molty didget nimber

Step-by-step explanation:

thats it

The output value of f( -23 ) in the function f( x ) = 3x² - 2x + 1 is 1634.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

To determine the output value of f( -23 ), replace all the occurrence of x with -23 in the function and simplify.

f( x ) = 3x² - 2x + 1

f( -23 ) = 3( 529 ) + 46 + 1

f( -23 ) = 1587 + 46 + 1

Add the numbers

f( -23 ) = 1587 + 47

f( -23 ) = 1634

Therefore, the output value of f( -23 ) is 1634.

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11/3

Step-by-step explanation:

In the question, it's supposed to be " f ( -2/3 )"