Find (fxf)(0)
f(x)=x^2- 1

Answer:

(3, -2) is the correct choice.

None of the graphs represents absolute value |x| graphs however the second graph at the top is a graph of y = x/2

Each absolute value graph will result in a "V" shape.

It is divided into two parts: a negative slope and a positive slope.

The vertex is the location where they meet. It is possible to fold an absolute value graph in half along its line of symmetry.

The function y = |x| is an absolute value function's parent function or most fundamental function.

The graph shows only one slope

The graph of  y = 1/2 |x| is attached

However if the equation is  y=1/2 * [x] = x/2 then the second option at the top represents the graph with a slope of 1/2.

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It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

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

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

55 miles per hour

Step-by-step explanation:

divide the miles by the hour

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

Answer:

EG= 29

Step-by-step explanation:

17 + 12 = 29

Hope this helps you out!

\(answer \\ g(x) = |x - 2| + 1 \\ here \: f(x) = |x| \\ if \: we \: want \: to \: shift \: this \: function \: 2 \: \\ unit \: right \: then \: make \: transformation \\ \: of \: x \: by \: (x - 2) \\ and \: if \: we \: want \: to \: make \: function \: \\ goes \: up \: with \: 1 \: unit \: then \: transformation \\ is \: f(x) \: by \: f(x) + 1 \\ now \\ g(x) = |x - 2| + 1 \\ hope \: it \: helps\)

The greatest common factor (GCF) of two different whole numbers will be one of the numbers when they are relatively prime.

The GCF also known as highest common factor can be defined as the highest or greatest factor that is common or present in between given two or more numbers.

The greatest common factor (GCF) of two different whole numbers will be one of the numbers when the two numbers are relatively prime, meaning they have no common factors other than one.

In conclusion, when their GCF is one, the only possible common factor is one, which means the numbers are relatively prime.

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The tree grew about 3.83 inches between the first and third week.

An equation is an expression that shows the relationship between two or more numbers and variables.

On the first week, the tree was 27 1/2 inches (27.5) tall. On the second week, it was 29 1/4 inches (29.25) tall. On the third week, it was 31 1/3 inches (31.33) tall.

The length grown = 31.33 - 17.5 = 3.83 inches

The tree grew about 3.83 inches between the first and third week.

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Answer: x=14 y=10

Step-by-step explanation:

Answer:

Step-by-step explanation: it is negative 42 it is just the opposite cause the thumbs is down negative up positive

Answer:

We conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Step-by-step explanation:

Given the initial function

{(-3, 7), (1, 5), (4, 13)}

We know that the given function indicates the relation in which each input has only one output.

i.e.

at x = -3, y = 7

at x = 1, y = 5

at x = 4,y = 13

Thus, it represents a function, becaus there is no repetitive inputs.

The only way the above function will no longer be a function we bring a point, adding of which makes the initial function having repetitive inputs.

i.e. if we add (1, 4) to the initial set, the relation will no longer be a function.

because induction of the point (1, 4) causes repetitive inputs because x = 1 is already present in the set.

so adding the point (1, 4)

{(-3, 7), (1, 4), (1, 5), (4, 13)}

Now, check the points (1, 4) and (1, 5).

It is clear that there are multiple outputs for x = 1. In other words, the input is no more a unique value as x=1 has been repeated multiple times.

Therefore, we conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Answer:

2557

Step-by-step explanation:

50x50+100-43

2500+100-43

2600-43

2557

Answer:

10^9 is 10 × 10^8, since 10^9= 10×10×10×10×10×10×10×10×10

THe diagonal, BD divides the rectangle into two right angle triangles.

BD represents the hypotenuse

BC represents the opposite side

DC represents the adjacent side

We would determine BD by applying the pythagorean theorem which is expressed as

The length of the diagonal, BD is 13.9m to the nearest tenth

Answer:

0

Step-by-step explanation:

Substitute x for -3 and y for -1:

= -2(-3) + 6(-1)

= 6 + -6 (or 6 - 6)

= 0

Answer:

The equation of the sphere with center (-2, 3, 7) and radius 7 is \((x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49\).

The intersection of the sphere with the yz-plane is \((y-3)^{2}+(z-7)^{2} = 49\).

Step-by-step explanation:

We know that any sphere can be represented by the following equation:

\((x-h)^{2}+(y-k)^{2}+(z-s)^{2} = r^{2}\)

Where:

\(h\), \(k\), \(s\) - Coordinates of the center of the sphere, dimensionless.

\(r\) - Radius of the sphere, dimensionless.

If \((h,k, s) = (-2,3,7)\) and \(r = 7\), we obtain this expression:

\((x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49\)

The intersection of the sphere with the yz-plane observe the following conditions:

\(x = 0\), \(y \in \mathbb {R}\), \(z\in \mathbb{R}\)

Hence, the expression above can be reduced into this:

\((y-3)^{2}+(z-7)^{2} = 49\)

Answer:

I don't understand but I believe the answer is 16y^8

Step-by-step explanation:

Answer: (4 x a x a x a x a) x (4 x a x a x a x a)

HOPE THIS HELPS

Answer:

i think 2616.6 repeating

Step-by-step explanation:

not sute

Answer:

I assume Pi is 3.14.

V = 1/3(pi)(r^2)(h)

V = 1/3(pi)(100)(h)

V = 1/3(pi)(100)(25)

V = 1/3(pi)(2500)

V = 1/3(7850)

V = 2616.6666666666...

Step-by-step explanation:

The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

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Given that,

The interest of sum of money is 6 yrs in 3/8 of the principal.

To find,

The rate of interest.

Solution,

Let P is the principal. It means interest will be :

I=3/8 P

The formula for the interest is given by :

\(I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%\)

Hence, the rate of interest is 6.25%.

Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

The number that has the same absolute as 23 is -23.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

An absolute number x is denoted by |x|

If x = -x,

|-x| = x

Now,

|23| = 23

|-23| = 23

So,

-23 has the same absolute value as 23.

Thus,

-23 is the number.

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Answer:

C

Step-by-step explanation:

Answer:

3 miles

58080 feet

Step-by-step explanation: