Simplify.

38√




3√4

6√8

24√8

6√4

Answer:

[tex]\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are 3 and -4

Step-by-step explanation:

To simplify the expression multiply to create a common denominator.

Multiply the first fraction by (x-3) and the second fraction by (x+4).

[tex]\frac{3}{x+4} + \frac{4}{x-3}\\\\\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)}[/tex]

[tex]\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)} \\\\\frac{3(x-3) + 4(x+4)}{(x-3)(x+4)}\\\\\frac{3x - 9 + 4x + 16}{(x-3)(x+4)}\\\\\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.

what does precal mean I don't understand

Answer: Third option.

Step-by-step explanation:

A ⊂ B this means that A is subset of B.

If A is subset of B (A ⊂ B), then all the elements of A belong to the subset B.

For example, the set of the Natural numbers is a subset of the Real Numbers.

Then, A ∩ B are all the elements that belong to AB at the same time.

A ∪ B are all the elements of A and all the elements of B.

But if we already said that A is inside of B, then:

 A ∩ B = A ≠ A ∪ B

A ∩ B = A ∪ B only happen when the set A=set B.

Therefore, the answer is: NEVER.

After evaluating the given information about the algebraic and graphed functions, we can conclude that the algebraic function f(x) = -5x^2 - 8x, which is a downward-opening parabola, has a greater maximum value than the graphed function in question. Therefore, the correct answer is option A.

To compare the algebraically expressed function f(x) = -5x^2 - 8x with a given graphed function, we need to look at their respective shapes and key features. Since f(x) is a quadratic function with a negative coefficient for the x^2 term, it is a downward-opening parabola that will have a maximum value. Without more information about the graphed function, we can still analyze the given description to ascertain its nature.

Based on the given statements, let's identify which function has a greater maximum or a lower minimum value:

In conclusion, given that f(x) = -5x^2 - 8x is a downward-opening parabola with a definite maximum value, and none of the provided statements about the graphed function suggest it has a maximum value higher than a constant value or a parabola, we can conclude that:

The algebraic function has a greater maximum value, so the correct answer would be option A.

The graphed function has a greater maximum value. The algebraic function's downward-opening parabola indicates a maximum value, and the graphed function's characteristics suggest it may have a higher maximum (option c).

To determine the maximum values of the algebraic function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] and the graphed function, we need to analyze the coefficient of the quadratic term in the algebraic expression. The quadratic term is [tex]\(-\frac{5}{2}x^2\)[/tex], and since the leading coefficient is negative, the parabola opens downwards. This means that the algebraic function has a maximum value, and the coefficient [tex]\(-\frac{5}{2}\)[/tex] determines the concavity.

Comparatively, the graphed function on the graph may have a different leading coefficient, affecting the concavity. If the graphed function has a positive leading coefficient, it opens upwards, suggesting a minimum value. Conversely, if it has a negative leading coefficient, it opens downwards, indicating a maximum value (option c).

In the case of the given options, statement C is correct. The graphed function has a greater maximum value because the leading coefficient of the quadratic term in the algebraic function is negative, resulting in a downward-opening parabola with a maximum point. Therefore, the graphed function, depending on its characteristics, may exhibit a greater maximum value.

The complete question of the given answer is:

Compare the algebraically expressed function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] to the function shown in the graph to determine which statement is true.

A) The algebraic function has a greater maximum value.

B) The algebraic function has a lower minimum value.

C) The graphed function has a greater maximum value.

D) The graphed function has a lower minimum value."

Answer:

32/5 = 6 2/5

19/3 = 6 1/3

15/4 = 3 3/4

51/10 = 5 1/10

Step-by-step explanation:

Divide the top number and the bottom number. Example: 32 divided by 5 = 6 R2. Put the 5 under the 2. 2/5. So the total is 6 2/5.

Answer:

The Answer is 8

Step-by-step explanation:

1) C2-B2=A2

C2=100 because 10 squared is 100 or 10x10= 100

B2=36 because 6 squared is 36 or 6x6=36

2) Subtract

100-36=64

√(64)=8

Your answer is 8.

Answer:

The Answer is 8

I think the answer is B and C

Answer: fr and nr, rc and ro, no and nm

Step-by-step explanation: you just have to look at each of the lines and see if they are equal or not i hope this helps :))

that's too easy question anyway thanks for giving me points.

it's x+x+x

Answer:

B. [tex]x+x+x[/tex]

Step-by-step explanation:

We are asked to find the equivalent expression to [tex]3x[/tex].

Our given expression stands for 3 times x. This means x is multiplied by 3 or we can say that x is added to itself 3 times.

We can rewrite [tex]3x[/tex] as [tex]x+x+x[/tex].

Upon looking at our given choices, we can see that only option B is the correct choice.

❣ R̾e̾f̾e̾r̾ t̾h̾e̾ a̾t̾t̾a̾c̾h̾m̾e̾n̾t̾.... ❣

☺.. h̾o̾p̾e̾ i̾t̾ h̾e̾l̾p̾s̾ y̾o̾u̾.. ☺

first change them into improper fractions

(2×3)+1/2 -->7/2

(3×1)+1/2--> 7/3

7/2-7/3 now find the least common denominator (lcd) it is 6

2 goes into 6, 3 times,7×3 =21--> 21/6

3 goes into 6, 2 times, 7×2=14 --> 14/6

21/6-14/6=7/6

Answer:

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at [tex]x=3(+/-)\sqrt{2}[/tex]

Step-by-step explanation:

we know that

The zeros of the function are the values of x when the value of y is equal to zero

In this problem

The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero

we have

[tex]y=-2(x-3)^{2}+4[/tex]

Find the zeros

equate the equation to zero

[tex]0=-2(x-3)^{2}+4[/tex]

[tex]2(x-3)^{2}=4[/tex]

[tex](x-3)^{2}=2[/tex]

square root both sides

[tex]x-3=(+/-)\sqrt{2}[/tex]

[tex]x=3(+/-)\sqrt{2}[/tex]

Answer:

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at

Step-by-step explanation:

Answer:

22°

Step-by-step explanation:

If the mean is m and the standard deviation is s, then we can say that the temperatures that fall within 1 standard deviation of the mean will be:

m - s < temperatures < m + s

To we take the sum of mean and standard deviation: 24 + 4 = 28

and, the different of mean and standard deviation: 24 - 4 = 20

So, the temperature that is in between 20 and 28 is the temperature within 1 standard deviation of the mean.

This is the third answer, 22°

Answer:

The answer is C, 22

Step-by-step explanation:

I just took the test

The answer is they are perpendicular

simplify √3(2)√2

=2√6(

Answer:

2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{3}[/tex] × 2[tex]\sqrt{2}[/tex]

= 2 × [tex]\sqrt{3(2)}[/tex] = 2[tex]\sqrt{6}[/tex]

Answer:The symbol means greater than

Step-by-step explanation:

Answer:

The symbol '>' is always read from left to right, and it means greater than.

Step-by-step explanation:

In mathematics, such relationships between the two expressions which are not equal to one another are said to be inequalities.

To express these inequalities, certain symbols are used which include the following ones:

<, >, ≤, ≥ and ≠

All these symbol are always read from the left side towards the right side and the symbol '>' means greater than.

Step-by-step explanation:

[tex]\dfrac{5}{3}=\dfrac{3+2}{3}=\dfrac{3}{3}+\dfrac{2}{3}=1\dfrac{2}{3}[/tex]

Julie can type 3 pages in x minutes; to find the time to type 11 pages, set up a proportion and solve, resulting in 11x/3 minutes.

Since Julie can type 3 pages in x minutes, the rate at which Julie types is 3 pages per x minutes. If we want to find out how many minutes it will take her to type 11 pages, we simply set up a proportion based on her typing rate:

3 pages / x minutes = 11 pages / y minutes

To solve for y, which is the time it will take to type 11 pages, we cross-multiply and get:

3y = 11x

Then, we divide both sides of the equation by 3, yielding:

y = 11x / 3

The answer is option (e): 11x / 3.

Answer:

28.4

Step-by-step explanation:

Translate the statement into an equation, and then solve the equation.

Let x be the number we are looking for.

155% of what number is 44?

155% of x is 44

In math "of" usually means multiplication.

155% * x = 44

To change a percent to a decimal, divide by 100 which means move the decimal point 2 places left. 155% = 155/100 = 1.55

1.55x = 44

Divide both sides by 1.55 to solve for x.

1.55x/1.55 = 44/1.55

x = 28.4

Answer: 28.4 (rounded to the nearest tenth)

Answer

B=36.

Explanation

L.s.f=linear scale factor.

A.s.f=area scale factor.

L.s.f=length of prism 1/length of prism 2

L.s.f=3/8.

let area or prism 1=x

A.s.f=(L.s.f)^2

A.s.f=(3/8)^2

=9/64

9/64=x/256

x=(9×256)÷64

=36.

➷ Writing it out like this will help:

7 : 3 : 2

? : 3.75 : ?

So, 3.75 is 3 parts as per this ratio

Divide this amount by 3 to get 1 part in the ratio

3.75 / 3 = 1.25

Now simply multiply all the other ratios by this value to find how much the others get:

1.25 x 7 = 8.75

1.25 x 2 = 2.5

Paula gets £8.75 and Henry gets £2.50

The amount altogether would be their individual amounts added together:

8.75 + 2.50 + 3.75 = 15

The total amount of money is £15.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

I believe your answer is 7

Step-by-step explanation:

When dividing numbers with exponents, you subtract the exponents.

11 - ? = 4

The missing exponent is 7.

Answer:

serious??? D-180

Step-by-step explanation:

the perimeter of the triangle shown on the coordinate plane to the nearest tenth of a unit is 21 units. Therefore, option c is the correct answer.

To find the perimeter of the triangle shown on the coordinate plane, we need to calculate the lengths of each side and then add them together.

Step 1: Calculate the length of the first side.

Using the distance formula, the length of the side connecting (-3, 3) and (3, -3) is:

√[(3 - (-3))^2 + (-3 - 3)^2] = √[6^2 + (-6)^2] = √[36 + 36] = √72.

Step 2: Calculate the length of the second side.

Using the distance formula, the length of the side connecting (3, -3) and (3, 3.5) is:

√[(3 - 3)^2 + (3.5 - (-3))^2] = √[0^2 + 6.5^2] = √[0 + 42.25] = √42.25.

Step 3: Calculate the length of the third side.

Using the distance formula, the length of the side connecting (3, 3.5) and (-3, 3) is:

√[(-3 - 3)^2 + (3 - 3.5)^2] = √[-6^2 + (-0.5)^2] = √[36 + 0.25] = √36.25.

Step 4: Calculate the perimeter by adding the lengths of the sides.

Perimeter = √72 + √42.25 + √36.25.

Now we can simplify the answer to the nearest tenth:

Perimeter ≈ 8.5 + 6.5 + 6 = 21.

Therefore, the perimeter of the triangle shown on the coordinate plane to the nearest tenth of a unit is 21 units.

Therefore, option c is the correct answer.

Answer:

C

Step-by-step explanation:

y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.

Answer:

if X =3 then X would be equal to 12

Step-by-step explanation:

x3+x

put x=3

(3)3+3

9+3

12

Answer:

Step-by-step explanation:

[tex]x=3 \\3(x)+x\\3(3)+3\\9 +3\\= 12\\ X= - 3 \\ 3(x)+x\\3(-3)+(-3)\\-9-3\\= -12[/tex]

1/5 this shows that each can be picked up at Least 1/5 or 2/10

P(A and B) =

1

2

·

1

2

Two events A and B are independent if the probability of A and B occurring together is the product of their probabilities,

P(A and B) =

1

2

·

1

2

P(red, blue) =

1

2

·

1

2

1

4

=

1

2

·

1

2

-5,5,-5,5,-5,5,-5,5,-5

ANSWER

3. 18, 5.5, –7, –19.5, –32, …

and

5. 16, 32, 48, 64, 80

EXPLANATION

An arithmetic sequence has a constant difference.

1. –5, 5, –5, 5, –5, … is not an arithmetic sequence because 5--5≠ -5-5

2. 96, 48, 24, 12, 6 is not an arithmetic sequence because 48-96≠ 24-48

3. 18, 5.5, –7, –19.5, –32, … is an arithmetic sequence because there is a constant difference of

[tex]5.5 - 18 = - 12.5[/tex]

4. –1, –3, –9, –27, –81, … is not an arithmetic sequence because

[tex] - 3 - - 1 = - 9 - - 3[/tex]

5. 16, 32, 48, 64, 80 is also an arithmetic sequence because

[tex]32 - 16 = 48 - 32[/tex]

Final answer:

0.600 written in word form is 'six hundred thousandths'. This is based on identifying the place value of the last digit and expressing the number as a fraction of that place value.

Explanation:

The number 0.600 written in word form is six hundred thousandths.

Here's a step-by-step guide on how to express the decimal in words:

Answer: [tex]x=\±2\sqrt{10}[/tex]

Step-by-step explanation:

To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:

- Subtract 40 from both sides of the equation.

- Multiply both sides of the equation by -1

- Apply square root to both sides of the equation.

Therefore, by applyin the steps above, you obtain:

[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]

Answer:

answer=a edg 2020

Step-by-step explanation:

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (y^6)^{-2}\implies y^{-2\cdot 6}\implies y^{-12}\implies \cfrac{1}{y^{12}}[/tex]