Graph the following line Y=1/2x-4

Answer: 8

Step-by-step explanation:

420/12 is 35

540/20 is 27

35-27=8

Answer:

If he had to take it evenly, he'd take 9.9 cups a day.

Step-by-step explanation:

I found this by dividing 99 cups over 10 days. 99/10

Answer:

d is the right answer

..................

Answer:

4.F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).

Step-by-step explanation:

a) given any two real numbers a and b, there is a real number c such that c is between a and b.

b) for any two real numbers a and b, there exists c such that a < c < b.

What are real numbers?

Simply put, in the number system, real numbers are a combination of rational and irrational numbers. In general, all arithmetic operations can be applied to these numbers, and they can also be represented in a number line.

Imaginary numbers, which cannot be expressed on a number line and are frequently employed to symbolise complex numbers, are also unreal numbers that are not expressed in the real world. The letter "R" stands for real numbers, which can be positive or negative. This group encompasses all natural numbers, fractions, and decimals.

For the given question, in the first part, it is said that there is always a real number between every two real numbers.

Using this statement we have to fill in the following blanks.

If we have two given numbers a and b, then there exists a real number c, such that c is between a and b.

Therefore the complete statement is:

a) given any two real numbers a and b, there is a real number c such that c is between a and b.

b) for any two real numbers a and b, there exists c such that a < c < b.

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Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.

Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.

Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

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I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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Answer:

9.5

Step-by-step explanation:

You're welcome have a nice

Answer:

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

The resultant polynomial is: \(6x^2-6x+5\)

Step-by-step explanation:

We need to subtract \((x+1)^{2}\) from \(7x^2-4x+6\)

so, we start by performing the multiplication involved in the perfect square of the binomial \((x+1)\), and obtain its expression in separate terms that can be combined:

\((x+1)^{2}=(x+1)\,(x+1)=x^2+x+x+1=x^2+2x+1\)

Now we can subtract this trinomial from  \(7x^2-4x+6\), and  combining like terms to get the resultant polynomial expression:

\(7x^2-4x+6-(x^2+2x+1)=7x^2-4x+6-x^2-2x-1=7x^2-x^2-4x-2x+6-1=6x^2-6x+5\)

Then the resultant polynomial is: \(6x^2-6x+5\)

Answer:

xx=-0.8

Step-by-step explanation:

not sure if this is right because the 12xx is kind of strange

12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8

Answer with Step-by-step explanation:

The method uses the formula of the right angles triangle, more precisely the pythogorean formula,

In step 2, it is the power law of indices,

Other than this, other tricks used here is the using of square root on step no 6.

You can take the square root ,cube root, square, etc in equations but you have to do it on both sides, you can even add r subtract numbers and do all sorts of things.

it is the process of solving equations by equality.

Eg:

x=5

x^2=5^2

√x=√x

x-7=5-7

8/2x=8/2*5, etc

Answer:

D, E and F

calculating the volume of regular bodies like prims works by multiplication alone.

you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step

Answer:

The posters will be 1 foot away from each other

Step-by-step explanation:

The equation is right

The key features of this quadratic relation y = -3x² - 24x - 36 include;

In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped.

Since the leading coefficient (value of a) in the given quadratic function y = -3x² - 24x - 36 is negative 16, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (-6, 0) and (-2, 0).

When x = 0, the y-intercept can be determined as follows;

y = -3x² - 24x - 36

y = -3(0)² - 24(0) - 36

y = -36

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-24)/2(-3)

Axis of symmetry, Xmax = -4

For the vertex, we have:

y(-4) = -3x² - 24x - 36

y(-4) = -3(-4)² - 24(-4) - 36

y(-4) = 12

In conclusion, the quadratic function has a maximum value at 12.

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Answer:

a₄ = 1.25

Step-by-step explanation:

Given that,

First term of GP, a₁ = 10

The common ration of GP, r = 0.5

The nth term of the GP is given by :

\(a_4=a_1r^{n-1}\\\\a_4=a_1r^3\\\\a_4=10\times (0.5)^3\\\\a_4=10\times 0.125\\\\a_4=1.25\)

So, the fourth term of the GP is 1.25.

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer: 4 ways to pick a king, 13 ways to pick a heart, and 4 ways to pick a five. Given the cards are returned to the deck, there are no special cases such as picking the King of Hearts and/or the Five of Hearts that affect the count. 208 ways.

Step-by-step explanation:

The hyperbola's standard equation is [(x2/a2) - (y2/b2)] = 1, where X denotes the transverse axis and Y denotes the conjugate axis.

A hyperbola is a particular kind of smooth curve that lies in a plane and is classified by its geometric characteristics or by equations for which it is the solution set. A hyperbola is made up of two mirror images of one another that resemble two infinite bows. These two sections are known as connected components or branches. A hyperbola is a geometric shape in mathematics where the difference between the lengths from any point on the figure to two fixed locations is a constant (the Greek letter o literally means "overshooting" or "excess"). We refer to the two fixed spots as foci (plural of focus).

Given

The equation for the hyperbola

The hyperbola's standard equation is [(x2/a2) - (y2/b2)] = 1, where X denotes the transverse axis and Y denotes the conjugate axis.

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Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem:

\(T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200\)

She can select the shirts in 775,200 ways.

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Answer:

The answer rounded would be 6.7 but it not rounded would be 6.766

Step-by-step explanation:

Answer:

6 23/30 or  \(6 \frac{23}{30}\)

Let me know if it's wrong and I'll fix it! ^^

Answer: -6

Step-by-step explanation:

\(\frac{-10-2}{2}=\boxed{-6}\)

The Median of the density is -6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

It is clearly visible from the uniform density curve given in the question that the median of the population density is  -6.
Because the area to the left and right of the density curve is the same.

Hence, the Median of density is -6.

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Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Answer:

y=4x+1

Step-by-step explanation:

First you need to solve for slope using the equation:

y2-y1/x2-x1

It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.

(-3)-(-7)/(-1)-(-2)=-4/-1=4

Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.

(Lets use point one)

-7=4(-2)+b

-7=--8+b

1=b

Last we can put it all together.

y=4x+1

The unit tangent vector for the parametrized curve is \(\vec T(t) = - \frac{\sin t}{\sqrt{1 + \cos ^{2} t}}\,\hat{i} + \frac{\cos t}{\sqrt{1 + \cos ^{2} t}}\,\hat{j} + \frac{\cos t}{\sqrt{1 + \cos ^{2} t}}\,\hat{k}\).

In this question we know a three-dimension parametrized curve, of which we must derive its unit tangent vector in accordance with the following formula:

\(\vec T(t) = \frac{\vec R'(t)}{\|\vec R'(t)\|}\)

Where:

First, determine the first derivative of the parametrized curve:

\(\vec R'(t) = -\sin t \,\hat{i} + \cos t \,\hat{j} + \cos t \,\hat{k}\)

Second, derive the magnitude of the parametrized curve:

\(\|\vec R'(t)\|\) = √[(- sin t)² + (cos t)² + (cos t)²]

\(\|\vec R'(t)\|\) = √(1 + cos² t)

Third, substitute every term in the unit tangent curve formula:

\(\vec T(t) = - \frac{\sin t}{\sqrt{1 + \cos ^{2} t}}\,\hat{i} + \frac{\cos t}{\sqrt{1 + \cos ^{2} t}}\,\hat{j} + \frac{\cos t}{\sqrt{1 + \cos ^{2} t}}\,\hat{k}\)

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floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

Answer:

the answer is the first one [3 -12 15 -21]

Step-by-step explanation:

Because 3 times 1 = 3, 3 times -4 = -12, 3 times 5=15, 3 times 7 = -21

because they are in order to get a negative one of them have to be a negative if they both of them where negative it would be positive.

Can you mark me brainliest

Answer:

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b)

The Standard error of the mean is 0.2328

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 49

The Expected value of the mean of 49 randomly selected students

μₓ = μ =7.06 digits  

b)

The Standard error of the mean determined by

\(S.E = \frac{S.D}{\sqrt{n} }\)

Given sample size 'n' = 49

The Standard deviation 'σ' = 1.63 digits

The Standard error

\(S.E = \frac{S.D}{\sqrt{n} }\)

\(S.E = \frac{1.63}{\sqrt{49} } = 0.2328\)

Final answer:-

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b) The Standard error of the mean is 0.2328