Given f(x) = -2(x-4)(x+3)(x+1)^2 name all the vertical and horizontal intercepts of the graph

Answer: 9

Step-by-step explanation:

Plot the points

Find the distance of each side

add the three numbers

9

Answer:

5. 27

6. 43

7. 47

Step-by-step explanation:

Answer:

Rate of interest (R) = 6.5 % per year

Step-by-step explanation:

Given:

Amount borrow(P) = $2300

Amount (A) = $2748.50

Number of month(T) = 36 month = 3 year

Find:

Rate of interest (R)

Computation:

Simple interest (I) = Amount (A) - Amount borrow(p)

Simple interest (I) = $2748.50 - $2300

Simple interest (I) = $448.50

Simple interest (I) = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Rate of interest (R) = 6.5 % per year

The rate of interest that should be charged is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

Simple interest = Amount - Amount borrow

= $2748.50 - $2300

= $448.50

Now  

Simple interest  = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

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To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.

Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.

Then, we can set up the proportion:

x eggs / y cookies = z eggs / (some other number of cookies)

We can then solve for z by cross-multiplying:

z eggs = x eggs * (some other number of cookies) / y cookies

This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.

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Answer:

what circle

Step-by-step explanation:

Answer:

The answer is 2/6.

Have an AMAZING day!

The inverse function (or reciprocal function) is \(f(x) = \dfrac{1}{x}\).

The x-values you can use are everything except for 0, since 1/0 is undefined.

If you look at the graph, you'll also notice that the graph never touches the x-axis, meaning a y-value of 0 is never used.  So the range is also all real numbers, except for 0.  

So the domain is \(\{ \ x \ | \ x\in\mathscr{R}, \ x\neq0 \ \}\) and

the range is \(\{ \ y \ | \ y\in\mathscr{R}, \ y\neq0 \ \}\).

Step-by-step explanation:

5 = 6x

6x = 5

x = 5/6

x = 0.83

Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

\(b=\frac{c+2}{a}\:\)

Step-by-step explanation:

\(ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\\)

\(\frac{c+2}{a}\:\)

the answer is 0.6

the force would be 6.0, and acceleration would be 10 pretty much you divided force and acceleration to find your mass

m=f/a

m=6.0/10

m=0.6

Answer:

Interest rate is 1.728%

Step-by-step explanation:

Here, we are interested in calculating the monthly interest rate on an account.

Mathematically;

The compound interest formula amount is given as;

A = P( 1 + r/n)^nt

where A is the amount at the end of the compounding = $2,134.96

P is the principal which is the amount deposited = $1,327.35

r is the rate which we want to calculate

n is the number of times per year it is compounded = (2 * 12) = 24 ( twice monthly)

t is the number of years = 12

2,134.96 = 1327.35( 1 + r/24)^(24 * 12)

divide both sides by 1327.35

1.608 = (1 + r/24)^288

Take the ln of both sides

ln 1.608 = ln ( 1 + r/24)^288

ln 1.608 = 288 ln (1 + r/24)

0.21 = 288 ln ( 1 + r/24)

Divide both sides by 288

0.00072 = ln (1 + r/24)

1.000716527571 = 1 + r/24

r/24 = 0.00072

r = 24 * 0.00072

r = 0.01728

which is same as 1.728%

There are 28 different bit strings of length 8 that satisfy the condition of having two zeros that are never together.

To count the number of bit strings of length 8 with two zeros that are never together, we can use the concept of combinations.

First, let's consider the possible positions for the two zeros. The zeros cannot be adjacent to each other, which means they must be placed in non-adjacent positions in the string.

Since there are 8 positions in the string, we can choose 2 positions for the zeros in C(8, 2) ways. This gives us the number of ways to select the positions for the zeros.

Once we have chosen the positions for the zeros, the remaining 6 positions must be filled with ones. There is only one way to do this, as all the remaining positions will be filled with ones.

Therefore, the total number of bit strings of length 8 with two zeros that are never together is equal to C(8, 2) = 28.

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The solution to the inequality f(x) ≤ 0 is the interval [-6, 2]. In other words, the values of x that satisfy the inequality are those that lie between -6 and 2, inclusive.

To solve the inequality f(x) ≤ 0, we need to find the values of x for which the function f(x) is less than or equal to zero.

We start by factoring the quadratic expression f(x) = x^2 + 4x - 12:

f(x) = (x + 6)(x - 2)

Setting this expression to zero, we get:

(x + 6)(x - 2) = 0

This gives us two solutions: x = -6 and x = 2.

Now, we need to determine the sign of f(x) in the intervals between these two solutions. We can use a sign chart to do this:

x f(x)

-∞ +

-6 0

2 0

+∞ +

From the sign chart, we see that f(x) is positive for x < -6 and for x > 2, and it is negative for -6 < x < 2.

To summarize, the solution to the inequality f(x) ≤ 0 for the function f(x) = x^2 + 4x - 12 is the interval [-6, 2].

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The graph of the function is attached

The asymptotes are x = 0 and y = 0

From the question, we have the following parameters that can be used in our computation:

y = -2/x

The above function is not a parabola

This means that it does not have representations of h and k

However, the value of a is

a = -2

For the asymptotes, we have

y = -2/x

The domain is

x ≠ 0

This means that

x = 0 ---- vertical asymptote

The function has no value at x = 0

This means that the function has no value at y = 0

i.e. y ≠ 0

So, we have

y = 0 ---- horizontal asymptote

See attachment for the graph

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Answer:The fourth option

Step-by-step explanation:

Answer:

the formula is ;

S=a+(n-1)d

Answer:

y = -4x - 5

Step-by-step explanation:

The 90% confidence interval for the mean GPA of all accounting students at the university is (2.765, 2.835). We are given a random sample of 36 accounting students with a mean of 2.80 and a standard deviation of 0.12.

To construct the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √Sample Size)

Since the population is normally distributed, we can use the z-distribution. For a 90% confidence level, the critical value is approximately 1.645.

Plugging in the values, we have:

Confidence Interval = 2.80 ± (1.645) * (0.12 / √36)

Calculating the values, we get:

Confidence Interval = 2.80 ± 0.035

Therefore, the 90% confidence interval for the mean GPA of all accounting students at the university is (2.765, 2.835). This means that we are 90% confident that the true mean GPA of all accounting students falls within this interval.

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Answer:

-4x - 20= -4x - 20

Step-by-step explanation:

Multiply -4 and x and -4 and 5. It has infinite solutions

To demonstrate the given situation, the type of chart(s) that is best to use is both an x-bar chart and an R-chart.

An x-bar chart is a statistical process control chart used to monitor the mean of a continuous data set over time. The chart plots the average (x-bar) of each subgroup of data points, rather than plotting individual data points, and provides information about process stability and control. The x-bar chart is often used in conjunction with an R-chart.

An R-chart (Range chart) is a type of statistical process control chart that is used to monitor the variability of a process by plotting the range (difference between the maximum and minimum values) of a subgroup of samples at different time periods. The R-chart provides a measure of process variability and helps detect changes in variability, which may indicate a change in the underlying process mean. The R-chart is typically used in conjunction with an X-bar chart, which monitors the process mean, to provide a comprehensive view of process performance.

The question seems incomplete, it must have been...

"Jars of pickles are sampled and weighed. Sample measures are plotted on control charts. The ideal weight should be precisely 11 oz. Which type of chart(s) would you recommend?

-both an x-bar chart and an R-chart

-p-chart

-an x-bar chart, but not an R-chart

-c-chart

-both a p-chart and a c-chart"

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The race horse's speed is approximately 256 furlongs per fortnight.

To determine the race horse's speed in furlongs per fortnight, we need to convert both the distance and time units to their respective values.

1 furlong is equal to 180 yards, so the horse's speed in yards per second (7 yards/second) can be converted to furlongs per second:

Speed in furlongs per second = (7 yards/second) / (180 yards/furlong) = 7/180 furlongs/second

Next, we need to convert the time from seconds to fortnights. Since a fortnight is a time period of two weeks, and there are 7 days in a week, a fortnight consists of 14 days:

Time in seconds per fortnight = (14 days/fortnight) * (24 hours/day) * (60 minutes/hour) * (60 seconds/minute) = 1,209,600 seconds/fortnight

Finally, we can calculate the horse's speed in furlongs per fortnight by multiplying the speed in furlongs per second by the time in seconds per fortnight:

Speed in furlongs per fortnight = (7/180 furlongs/second) * (1,209,600 seconds/fortnight) = 46,080/180 furlongs/fortnight ≈ 256 furlongs/fortnight

The race horse's speed is approximately 256 furlongs per fortnight.

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Answer:

Solution Given:

C is the interest point of AD and EB.

AC ≅ EC and ∠A ≅ ∠E

To prove:

AB ≅ ED

Proof:

In ∆ABC and ∆EDC

∠BAC= ∠CED Given

AC = CE Given

∠ACB= ∠ECD Vertically opposite angle

∆ABC ≅ ∆EDC By ASA axiom

Therefore,

AB ≅ ED

Since the corresponding side and corresponding angle of a congruent triangles are congruent or equal.

Hence Proved:

Answer:

If you want help from someone else, I am available as well.

To solve the inequality we can subtract 10 as:

Then, dividing by 2, we get:

-7 < x ≤ 4

Answer: -7 < x ≤ 4

Step-by-step explanation:

2x+15 = 5x-43

- Add 43 to both sides

2x+58 = 5x

- Subtract 2x from each side

58 = 3x

- Divide by 3

Answer: Rule: y=-2x-2, Missing numbers are 0 and 2

Step-by-step explanation:

The rule of this table looks to be y=-2x-2

-2(2)-2=-6

-2(1)-2=-4

-2(0)-2=-2

The missing numbers:

-2(-1)-2=0

-2(-2)-2=2

The formula which describes the given situation is A = 300 \(e^{0.06t}\) . The solution is obtained by using compound interest.

What is compound interest?

Unlike simple interest, which does not take the principal into account, compound interest does so when calculating the interest for the following month. Compound interest is sometimes represented by the letter C.I. in algebra.

We know that the formula for compound interest is

A = P\(e^{rt}\)

In the question, we are provided with the following information

P = $300

r = 0.06

So, from this we get

A = 300 \(e^{0.06t}\)

Hence, the formula which describes the given situation is A = 300 \(e^{0.06t}\) .

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By using the concept of dilation, we find that scale factor from A to B is equal to l' / 5, where l' is the length of the shortest side of the quadrilateral B.

Scale factor is a key variable used to dilate lengths and distances by rigid transformations. Then, the length of the shortest side of the quadrilateral B is equal to the product of the scale factor and the length of the shortest side of the quadrilateral A. Mathematically speaking, this kind of rigid transformation is represented by the following formula:

r = l' / l      

Where:

If we know that l = 5, then the length of the shortest side of the quadrilateral B is equal to the following linear equation:

l' = 5 · r

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We are given the function: f(x) = 4x + 5

To find f(-2), we substitute the value of x with -2 to get:

f(-2) = 4(-2) + 5

f(-2) = -8 + 5

f(-2) = -3

OPTION C