For the following pair of functions, find (f+g)(x) and (f-g)(x).
f(x)= 4x2 + 7x-5 and g(x)= - 9x² + 4x - 13
(f+g)(x) = 0
(Simplify your answer. Type in descending order.)
(f-g)(x) =
(Simplify your answer. Type in descending order.)

Answer:

About 4.5 hours

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

7 1/2 x 4/3=10

Answer:

5.625

Step-by-step explanation:

Answer:

3f×16=36

Step-by-step explanation:

f(x)=2x×fx

(substitute

=3f×16

=36f

Answer:

Devon

Step-by-step explanation:

lets use t=1 to compare

1. -5(12t+9)

if t = 1, -5(12+9) = -5(21) = negative number

2. 2(-6t-8)

if t = 1, 2(-6-8) = 2(-14) = negative number

3. -6(-2t+18)

if t = 1, -6(-2+18) = -6(16) = negative number

4. (-4(-3t-2)

if t = 1, -4(-3-2) = -4(-5) = 20 positive number

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Answer:

568.3 into the nearest hundred

5.683

Answer:

568

Explanation:

A whole number is a number without any fractional part; in other words, it does not have any non-zero digits after the decimal point.

When you round a number to the nearest whole number, first look at the digit right after the decimal point;

• if the digit is less than 5, then the nearest whole number is the original number, but without any digit after the decimal point. [rounding down]

• if the digit is 5 or greater than 5, then the nearest whole number is the next whole number (i.e., add 1 to the original number and remove the digits after the decimal point). [rounding up]

Answer:

10p

Step-by-step explanation:

p + 2p + 3p + 4p

= 10p

Answer:

10p

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

p + 2p + 3p + 4p

Step 2: Simplify

B. If two cones have their heights in the ratio 1:3 and radii 3:1, then the ratio of their volumes is 3:1.

This can be determined by using the formula for the volume of a cone, V = (1/3)πr^2h, where r is the radius and h is the height. Since the ratio of the height is 1:3 and the ratio of the radii is 3:1, the ratio of the volumes is 3:1.

To calculate this, we can set up two equations:

V1 = (1/3)πr1^2h1 and

V2 = (1/3)πr2^2h2.

Since the ratio of the height is 1:3, we can set h1=3h2. Substituting this into the equation for V2 and solving for V2/V1, we get

V2/V1 = (r2/r1)^2*(h2/h1).

Since the ratio of the radii is 3:1, we can set r2/r1=3. Substituting this into the equation and simplifying, we get V2/V1 = 3^2*(h2/h1), which is equal to 3^2*1/3=3, which is the same as the ratio of the radii, 3:1. Therefore, the ratio of the volumes is 3:1.

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Answer: 69 and 420

Step-by-step explanation:

Answer:

I think 3 Square Units

Step-by-step explanation:  Because I counted how much square units high it was.

I am not sure though.

Answer:

3 units

am not sure if it's correct

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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Answer:

three boys shared D 10,500.00 in the ratio 6:7:8.find the largest share.

Answer: a rotation 180 degrees about Z’

Step-by-step explanation: I just took the assignment :)

Answer:

a rotation 180 degrees about Z

Step-by-step explanation:

Correct answer on Edg.

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

The absolute value inequalities for the different lengths are

1) 4.19 ≤  x ≤  4.21

2) 3.3 ≤  x ≤  3.7

What is an absolute value inequality?

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.

An expression using absolute functions and inequality signs is known as an absolute value inequality. One example of an absolute value inequality with a larger than symbol is the statement |x + 3| > 1.

1)  length x = 4.2 cm with a tolerance of 0.01 cm

Absolute value inequality is:

|x - 4.2| ≤ 0.01

This can be written as:

           x ≤ 4.21

            x ≥ 4.19

2)  length x =  3.5 cm with a tolerance of 0.2 cm

Absolute value inequality is:

|x - 3.5| ≤ 0.2

This can be written as:

           x ≤ 3.7

            x ≥ 3.3

Therefore the absolute value inequalities for the different lengths are

1) 4.19 ≤  x ≤  4.21

2) 3.3 ≤  x ≤  3.7

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The given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\)as we have multiplied 8 in both numerator and denominator.

The given expression is \(g^2/3h\).

Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:

\((g^2/3h) * (8/8)\)

Simplifying further, we get:

\((8g^2)/(24h)\)

Therefore, the expression equivalent to \(g^2/3h\) is \((8g^2)/(24h)\).

Thus, the given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\) as we have multiplied 8 in both numerator and denominator.

The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.

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The complete question is :

Which expression is equivalent to \(g^2/3h\)?

Click on the correct answer.

(A) \(g^2+5/3h+5\)

(B) \(6g^2/15h\)

(C) \(8g^2/24h\)

Answer:

-15

Step-by-step explanation:

The solution of expression for x = - 4 is,

⇒ - 15

We have to given that,

An expression is,

⇒ 2x - 7

Now, We can simplify the expression for x = - 4 as,

An expression is,

⇒ 2x - 7

Plug x = - 4;

⇒ 2 × - 4 - 7

⇒ - 8 - 7

⇒ - 15

Thus, The solution of expression for x = - 4 is,

⇒ - 15

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The function is continuous only if m = 7.

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

24°

Step-by-step explanation:

A regular 15-sided figure is 360°

Interior angle = 180°

Exterior angle = 180°

180 + 180 = 360

360° / 15 sides = 24° per side

Answer:

C. How tightly the molecules in a glass of water are packed together

Step-by-step explanation:

Volume of a substance is different according to the state of the matter.

So for a water molecule, the volume of the the water is definite and can be measured by the container which is the glass cup

So volume can be the measure of how tight the molecule of that substance ate together.

Answer:

hello your question is incomplete attached below is the complete question

answer : 2/13    6/13

               6/13    3/13

Step-by-step explanation:

Firstly we will calculate the orthogonal basis L in R^2

attached below is the detailed solution

also assuming β to be the standard ordered basis

hence the matrix A of the reflection in the Line L in R2 =

2/13    6/13

6/13    3/13

The matrix A of the reflection in line L is given by  \(\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}\)  and this can be determined by first evaluating the value of \(\rm R^2\) by using the given data.

The orthogonal basis L in \(\rm R^2\) is given by:

\(r = [u_1,u_2] =\left[\dfrac{1}{\sqrt{39} }\binom{6}{3}, \dfrac{1}{\sqrt{39} }\binom{3}{-6}\right]\)

\(\rm T(u_1)=u_1\)

\(\rm T(u_2)=0\)

\(\rm [T]_r = \begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}\)

\(\rm Q = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\)

Now, matrix A is given by the formula:

\(\rm A=Q[T]_rQ^{-1}\)

Now, substitute the value of known terms in the above equation.

\(\rm A = \dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\begin{bmatrix}1 & 0\\ 0 & 0\end{bmatrix}\dfrac{1}{\sqrt{39} }\begin{bmatrix}6 & 3\\ 3 & -6\end{bmatrix}\)

Simplify the above expression.

\(\rm A = \dfrac{1}{{39} }\begin{bmatrix}6 & 18\\ 18 & 9\end{bmatrix}\)

\(\rm A = \dfrac{3}{{39} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}\)

\(\rm A = \dfrac{1}{{13} }\begin{bmatrix}2 & 6\\ 6 & 3\end{bmatrix}\)

Multiply by 1/13 in the matrix.

\(\rm A = \begin{bmatrix}\dfrac{2}{13} & \dfrac{6}{13}\\ \dfrac{6}{13} & \dfrac{3}{13}\end{bmatrix}\)

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

-4f

Step-by-step explanation:

-8f+2f=-6f then -6f+2f (since its a positive number) = -4f

Answer:

its easy its like adding

-4f

Step-by-step explanation:

add -8f and 2f

which equals -6f+2f

and then add those two

which then gives -4f

hope it helps!

Answer:

the answer is from the given replacement is 4

Answer:

5 5/6

Step-by-step explanation:

Multiply 2 1/3 by 2 1/2.  The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).

2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7.  Place that over the denominator, 3.  So 2 1/3 = 7/3.

2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5.  Place that over the denominator, 2.  So 2 1/2 = 5/2.

Multiply 7/3 by 5/2.

\(\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}\)

Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over").  The whole number part is 5 and the left over fraction part is 5/6.

5 5/6

It is found that Nadia can make 10 different juices.

To choose two types of fruit, she needs to use a combination of 2 fruits from 4, that can be calculated using the formula:

\(n! / (k! (n - k)!)\)

where n is the total number of items, k is the number of items to choose from,

Therefore, Nadia can make 6 different juices with two types of fruit:

- Apple and Banana

- Apple and Orange

- Apple and Pear

- Banana and Orange

- Banana and Pear

- Orange and Pear

Therefore, the total number of different juices that Nadia can make could be; 4 + 6 = 10.

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