Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 units?

f(x) = 1.3|x| – 2
f(x) = 3|x – 2|
f(x) = |x – 2|
f(x) = |x| + 2

Answer:

x = 2

Step-by-step explanation:

The parallel lines divide the transversals into proportional segments, that is

\(\frac{x+4}{13.5}\) = \(\frac{4}{9}\) ( cross- multiply )

9(x + 4) = 54 ( divide both sides by 9 )

x + 4 = 6 ( subtract 4 from both sides )

x = 2

Step-by-step explanation:

the answer to the question is C. 64.

The length of SZ for the given circle is 55 units.

A circle is a round-shaped picture, that has no corners or edges, in geometrical figure it has the largest area for any given length or parameter.

Given that,

The tangent of circle NJ = 24 units.

Also, the length of JS = 64 units.

To find the length of ZS,

Use tangent secant property,

According to property,

If a tangent segment and a secant segment cross outside a circle, the product of the measurements of the secant segment and its external section is equal to the square of the tangent segment's measure.

After applying theorem,

(24)² = JZ x 64

24 x 24 = JZ x 64

JZ = 9 units

The length of SZ = JS - ZJ = 64 - 9 = 55 units.

The required length of SZ is 55 units.

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The probability of the person having blood type a is 0.55.

Define Probability

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Blood type 'o' = 0.30

Blood type 'a' = ?

Blood type 'b' = 0.10

Blood type 'ab' = 0.05

find, the probability of the blood type 'a'

Probability(person having blood type a) = 1 - 0.30 - 0.10 - 0.05

                                                                  = 0.55

Hence, The probability of the person having blood type a is 0.55.

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Answer:

y = 1000 or y = 1300

Step-by-step explanation:

im not really sure but i had this problem and i said that and he took it as a answer

The equation is y = 1/3 x + 10/3. The y-intercept is 10/3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the point (5,5) is on a line with slope 1/3. The y-intercept will be calculated as,

y = mx + c

5 = (5/3)) + c

c = ( 15 - 5 ) / 3

c = 10 / 3'

y = 1/3x + 10/3

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The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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Okay, here we have this:

Considering that a function is one-to-one if there are no two elements in the domain of f they correspond to the same element in the range of f.

According with this we obtain that the correct answer is one-to-one function.

Given:

Given that a graph of the function

Required:

To find the function h(x) in the graph.

Explanation:

The graph of h(x) is horizontal translate left 2 units.

Therefore,

And vertical translate upward 4 units.

So,

Final Answer:

The equation of the line in slope-intercept form is: y = 5/2x.

If the value of the slope of the line is represented by m, and y-intercept of the line is b, therefore, the equation of the line in slope-intercept form can be written as: y = mx + b.

The slope of the line (m) = rise/run = 5/2

m = 5/2

The line intercepts the y-axis at 0. The y-intercept therefore is b = 0.

To write the equation of the line, substitute m = 5/2 and b = 0 into y = mx + b:

y = 5/2x + 0

y = 5/2x

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To count the number of positive numbers from user input in C, follow these steps:

Step 1: Declare an integer variable to store the count of positive numbers entered by the user. Initialize it to 0.

`int count = 0;

Step 2: Ask the user to enter the number of elements they want to input and store it in a variable. `int n;

printf("Enter the number of elements: ");

scanf("%d", &n);`

Step 3: Ask the user to input n numbers and check if each number is positive or not. If it is positive, increment the count variable.``` int num; for (int i = 1; i <= n; i++) { printf("Enter element %d: ", i); scanf("%d", &num); if (num > 0) { count++; } } ```

Step 4: Print the count of positive numbers. `printf("Number of positive numbers: %d", count);`The entire code to count the number of positive numbers from user input in C is given below:``` #include  int main() { int count = 0; int n; printf("Enter the number of elements: "); scanf("%d", &n); int num; for (int i = 1; i <= n; i++) { printf("Enter element %d: ", i); scanf("%d", &num); if (num > 0) { count++; } } printf("Number of positive numbers: %d", count); return 0; }```

The above code will take input from the user, check if each number is positive or not, count the number of positive numbers, and finally print the count.

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Answer:

2(x+16)

Step-by-step explanation:

it says product of 2 means 2 times

then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2

so the ans is 2(x+16)

Using Cooking measurements,

The value replacement for 3/4 cup is = 36 teaspoons or 12 tablespoons.

Cooking Measurements :

Calculate and determine the specific amounts of ingredients required using standard measuring equipment.

A measuring spoon, measuring cup, or measuring utensil.

Measuring Spoons come in a variety of sizes and materials. The smallest set of spoons measure smudges, pinches and dashes. Other sets include tsp (tsp) and tsp (tbsp)

we have given 3/4 cup and we want to replace it

Using the cooking measurement chart ,

1 cup = 16 tablespoons or 48 teaspoons

1/2 cup = 8 tablespoons or 24 teaspoons

we have 3/4 cup then

3/4 cup = 1 cup - 1/4 cup

1/4 cup = 4 tablespoons or 12 teaspoons

then , 3/4 cup = 16 tablespoons - 4 tablespoons

= 12 tablespoons or

3/4 cup = 48 teaspoons - 12 teaspoons

= 36 teaspoons

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Answer:

3

Hope it helps you, tell me if im wrong pls, BE SAFE! :D

The size of B is 5×m.

If A is a 4×5 matrix and AB is a 4×3 matrix, then the number of columns of A must equal the number of rows of B.

Let's represent the size of B as m×n. Then we have:

A: 4×5

B: m×n

AB: 4×3

To multiply A and B, we need the number of columns of A to be equal to the number of rows of B. Therefore, we must have n = 5. This is because the number of columns of B must be equal to the number of rows of the product AB, which is 3.

So the size of B is 5×m.

To summarize:

A: 4×5

B: 5×m

AB: 4×3

Therefore, the size of B is 5×m.

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Answer:

\(x > - 1 \\ the \: answer \: is \: {d}\)

Answer:

2 (p - 4 z - 30)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The terms are the constants or products that are being added together. Here, there are 3 of them:

  -60, 2p, -8z

The coefficients are the multipliers in each of the terms:

  -60, 2, -8

__

Comment on the constant

Some authors (and answer keys) do not consider the constant term (-60) to be a coefficient. Others insist that it is a coefficient. Please be aware of the convention used in your curriculum materials, and the fact that others may disagree.

ANSWER

None of the above.

EXPLANATION

We want to solve the equation given for x:

First, simplify the radical:

Now, find the square of both sides of the equation:

Finally, simplify by subtracting 4 from both sides of the equation:

Hence, the correct option is "None of the above".

Answer:

you have it correct sir

Step-by-step explanation:

The second function, y = x^2 - 1, has a greater output when the input is 3.To determine which function has a greater output when the input is 3, we need to evaluate both functions at x = 3 and compare the resulting y-values.

For the first function, f(x) = 3x, substituting x = 3 gives f(3) = 3 * 3 = 9.For the second function, g(x) = x^2 - 1, substituting x = 3 gives g(3) = 3^2 - 1 = 9 - 1 = 8 Comparing the outputs, we find that f(3) = 9 and g(3) = 8. Since 9 is greater than 8, we conclude that the first function, f(x) = 3x, has a greater output when the input is 3. This can also be understood geometrically. The first function, f(x) = 3x, represents a straight line with a slope of 3. When x = 3, the corresponding y-value is 9, indicating that the line passes through the point (3, 9). On the other hand, the second function, g(x) = x^2 - 1, represents a parabola that opens upwards. When x = 3, the corresponding y-value is 8, indicating that the point (3, 8) lies on the parabola.In summary, when the input is 3, the first function f(x) = 3x has a greater output (9) compared to the second function g(x) = x^2 - 1 (8)

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\(33 \: inches \times \frac{1}{3} = 11 \: inches\)

The measure in the scale drawing would be 11 inches.

Step-by-step explanation:

a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.

b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.

Answer:

28

Step-by-step explanation:

6(2) + 7(3) - 5

12 + 21 -5

It's a good idea to get into the habit of using parenthses

when substituting numbers in for variables.

Since x = 2 and y = 3, 6x + 7y - 5 is 6(2) + 7(3) - 5.

Simplifying from here, we get 12 + 21 - 5 or 33 - 5 which is 28.

Which flaw most accurately illustrates the graphed function's domain?

The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

Domain here refers to the x change. The values of with regard to function should be the domain in this case. Additionally, we need to pay attention to the blank line that starts at -9 to 2 in x values.

Since 9 should not be filled however 2 should be.

Therefore, The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

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The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

Answer:

−16n² −4n −4

Step-by-step explanation:

=(4)(−4n²+−n+−1)

=(4)(−4n²)+(4)(−n)+(4)(−1)

=−16n² −4n −4

Answer:

y = 3, 4, or 5

Step-by-step explanation:

Step 1; Simplify the Double Inequality

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the entire inequality by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

Step 2: Identify the Integers in this Range

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is any number that is not a fraction when fully simplified (ex. …-1, 0, 1...).)

In other words, we need to find all of the integers in between 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

The solution to the system of equations by using Gaussian elimination is \(x_1 = 1, x_2 = -1,\) and \(x_3= 1.177\),  \(y_1 = 7, y_2 = 0.428\)  and \(y_3= -8.56\).

To use Gauss elimination to decompose the given system:

Write the augmented matrix of the system:

\([A|b]=\left[\begin{array}{cccc}7&2&3&-12\\2&5&3&-20\\1&-1&-6&-26\end{array}\right]\)

Perform row operations to transform the matrix into upper triangular form:

[R2 = R2 - (2/7)R1]

[R3 = R3 - (1/7)R1]

The matrix becomes:

\([A|b]=\left[\begin{array}{cccc}7&2&3&-12\\0&4.71&2.43&-18.86\\0&-1.43&-6.57&-24.57\end{array}\right]\)

Continue with row operations to eliminate the elements below the main diagonal:

[R3 = R3 + (0.303)R2]

The matrix becomes:

\([A|b]=\left[\begin{array}{cccc}7&2&3&-12\\0&4.71&2.43&-18.86\\0&0&-7.24&-16.82\end{array}\right]\)

The resulting matrix can be decomposed into the product of lower triangular matrix [L] and upper triangular matrix [U]:

\(L = \left[\begin{array}{ccc}1&0&0\\0.286&1&0\\0&-0.305&1\end{array}\right]\)

\(U=\left[\begin{array}{ccc}7&2&3\\0&4.71&2.43\\0&0&-7.24\end{array}\right]\)

Multiply [L] and [U] to obtain [A]:

[A] = [L] x [U]

A = \(\left[\begin{array}{ccc}7&2&3\\2&5&3\\1&-1&-6\end{array}\right]\)

(b) To solve the system using LU decomposition, we can proceed as follows:

Solve [L][y] = [b] for [y] using forward substitution:

\(\left[\begin{array}{ccc}1&0&0\\0.286&1&0\\0&-0.305&1\end{array}\right] \left[\begin{array}{ccc}y_1\\y_2\\y_3\end{array}\right] = \left[\begin{array}{ccc}7\\2\\-6\end{array}\right]\)

This gives the solution [y] = [7, 0.428, -8.56].

Solve [U][x] = [y] for [x] using backward substitution:

\(\left[\begin{array}{ccc}7&2&3\\0&4.71&2.43\\0&0&-7.24\end{array}\right]\left[\begin{array}{ccc}x_1\\x_2\\x_3\end{array}\right] = \left[\begin{array}{ccc}7\\0.428\\-8.56\end{array}\right]\)

This gives the solution [x] = [1, -1, 1.177].

Therefore, the solution to the system of equations by using Gaussian elimination is \(x_1 = 1, x_2 = -1,\) and \(x_3= 1.177\),  \(y_1 = 7, y_2 = 0.428\)  and \(y_3= -8.56\)

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Answer: 50

Step-by-step explanation:

5x + 55 = 2x + 100

5x = 2x + 45

3x = 45

x = 15

y equals angle 2

180 = 5(15) + 55 + y

180 = 75 + 55 + y

180 = 130 + y

50 = y

angle is 50

We know that:

Because of 180° angle formula.

First, let's solve for x. Then we will solve m∠2.

Since we have found x, it is time to find m∠2.

Therefore, the measure of m∠2 is 50°

Hoped this helped.

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