MATHEMATICS HIGH SCHOOL

Simply the following radical expressions completely. Use the radical symbol in the equation editor to enter your response. 2✔️48

Answers

Answer 1

Answer:

Answer:

$\huge \boxed{8√(3)}$

Step-by-step explanation:

$2√(48)$

Simplify $√(48)$ .

$2√(16) √(3)$

$√(16)=4$

$2 * 4√(3)$

Apply rule : $a * b√(c) =ab√(c)$

$8√(3)$

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Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = $(sinA)/(cosA)$ , cot A = $(cosA)/(sinA)$

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - $(cos^2A)/(sinA)$ + $(sin^2A)/(cosA)$ - sinA ( collect like terms )

= $(sin^2A)/(cosA)$ - $(cos^2A)/(sinA)$

= ( sinA × $(sinA)/(cosA)$ ) - ( $(cosA)/(sinA)$ × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

QUESTION 23 Determine if the given solution is correct. If it is not, find the solution. Is -5 the solution to x+6=5-4? no; x=7 yes no; x=3 no; x=15

Answers

Answer:

yes

Step-by-step explanation:

x+6 = 1

x = -6 + 1

x = -5

1. The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. how many of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?

Answers

46 hotdogs ang 32 hamburgers

I need help for this question I’m stuck

Answers

Answer:

Step-by-step explanation:

5(3g + 2)/2 = 50 Multiply both sides by 2

5(3g + 2) = 50*2 = 100 Remove the brackets

15g + 10 = 100 Subtract 10 ***

15g+10-10 = 100 - 10 Collect like terms.

15g = 90 Divide by 15 ***

15g/15 = 90/15

g = 6

I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.

Answer:

g=6

Step-by-step explanation:

We can start by multiplying both sides by 2

5(3g+2)=100

Now we can distribute the 5 by using the distributive property

15g+10=100

Then we subtract 10 from both sides

15g=90

Divide both sides by 15

g=6

A line has a rise of 6 and a slope of 1/20. What is the run?

Answers

The slope of a line is a number that represents thedirection and the steepness of the line. Or it is commonly defined as the riseover the run. It is denoted by the letter m. Let’s say that y is the rise and xis the run. A line may be increasing or decreasing just by knowing the slope. Ifthe slope is a negative number, the line is decreasing, and if it is a positivenumber, the line is increasing. Here you have a slope of 1/20 and a rise of 6. Them is equal to 1/20 and y equals 6. So

m = y/x
1/20 = 6 /x
x = 6/(1/20)
x = 120

Could someone help please?The Sales S (in thousands of units) of a cleaning solution after X hundred dollars is spent on advertising are given:
S = 10(1 - e^(kx))
Now when $325 is spent on advertising 2300 units are sold.

(a)Complete by solving for k. (Round your answer to 4 decimal places)
k = _______

(b) What number of units that will be sold if advertising is raised up to $425
_______ Units.

Answers

$2.3=10(1-e^(3.25k)))\n2.3=10-10e^(3.25k)\n10e^(3.25k)=7.7\ne^(3.25k)=0.77\n3.25k=\ln 0.77\nk=(\ln 0.77)/(3.25)\nk\approx-0.0804$

$S=10(1-e^{(\ln 0.77)/(3.25)\cdot4.25})\n$

Calculating this is a pain in the ***, but as a result you get approximately 2.8949 which in thousands of units is 2894 (rounded down since you can't have a fraction of a unit).

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What is the graph of 3x + 5y = –15?

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