I dont get this.. Can anyone help on this... I appreciate it.

Answers

Answer 1

Answer: 7. $(f(4 + h) - f(4))/(h) = 8$
   $h((f(4 + h) - f(4))/(h)) = h(8) \nf(4 + h) - f(4) = 8h$
   $(h + 4)^(2) + (4)^(2) = 8h \n(h + 4)(h + 4) + 16 = 8h \nh(h + 4) + 4(h + 4) + 16 = 8h$
   $h(h) + h(4) + 4(h) + 4(4) + 16 = 8h \nh^(2) + 4h + 4h + 16 + 16 = 8h$
   $h^(2) + 8h + 32 = 8h \nh^(2) + 32 = 0$
   $h = \frac{-(0) \± \sqrt{(0)^(2) - 4(1)(32)}}{2(1)}$
   $h = \frac{0 \± \sqrt{(0)^(2) - 4(1)(32)}}{2}$
   $h = (0 \± √(-128))/(2)$
   $h = (0 \± 8i√(2))/(2)$
   $h =(8i√(2))/(2)$
   $h = 4i√(2)$

8. $f(x) = (x^(2) + 4x - 32)/(x - 4) \nf(x) = (x^(2) + 8x - 4x - 32)/(x - 4) \nf(x) = (x(x) + x(8) - 4(x) - 4(8))/(x - 4) \nf(x) = (x(x + 8) - 4(x + 8))/(x - 4) \nf(x) = ((x - 4)(x + 8))/(x - 4) \nf(x) = x + 8$

$g(x) = x(2x - 5) - 2(x^(2) - 3x - 4) \ng(x) = x(2x) - x(5) - 2(x^(2)) + 2(3x) + 2(4) \ng(x) = 2x^(2) - 5x - 2x^(2) + 6x + 8 \ng(x) = 2x^(2) - 2x^(2) - 5x + 6x + 8 \ng(x) = x + 8$

The functions are equivalent.

9. $Slope: 3 \nDerivative: -8x + 11 \n3 = -8x = x + 11 \n-9x = 11 \n(-9x)/(-9) = (11)/(-9) \nx = -1(2)/(9) \nf(x) = -4x^(2) + 11x - 2 \n f(x) = -4(-1(2)/(9)) + 11(-1(2)/(9)) - 2 \nf(x) = 4(8)/(9) - 13(4)/(9) - 2 \nf(x) = -8(5)/(9) - 2 \nf(x) = -10(5)/(9) \ny - y_(1) = m(x - x_(1)) \ny - (-11(4)/(9)) = 3(x - (-1(2)/(9)) \ny + 11(4)/(9) = 3(x + 1(2)/(9)) \ny + 10(5)/(9) = 3(x) + 3(1(2)/(9)) \ny + 10(5)/(9) = 3x + 3(2)/(3) \ny = 3x - 6(8)/(9)$

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the maximum height of a vehicle that can safely pass under a bridge is 12 feet and 5 inches a truck measures 160 inches into height. which best explains whether or not the truck can pass safely under the bridge
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A model rocket is launched straight into the air from platform 3 feet above the ground with an intial velocity of 192 feet per second

Answers

Answer:

Step-by-step explanation:

the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.

sam has 3 cookies jars all three jars contain the same number of cookies if sam gets 7 more he will have 73 cookies

Answers

Answer

21 cookies

Step-by-step explanation

FIND THE MISSING SIDE LENGTH MATH HELP!!

Answers

Answer:

n = 12

Step-by-step explanation:

4/6 = 8/n

4n = 48

n = 12

The arithmetic mean (A) of two numbers (a and b) is given by the formula A=a b2, and their geometric mean (G) is given by G=ab−−√. Their harmonic mean (H) is given by the formula G=AH−−−√. Which formula correctly gives H in terms of a and b?

Answers

Answer:

$H = (2ab)/(a+b)$

Step-by-step explanation:

As per the given statement:

The arithmetic mean (A) of two numbers (a and b) is given by the formula:

$A = (a+b)/(2)$ .....[1]

and

their geometric mean (G) is given by :

$G = √(ab)$ .....[2]

Their harmonic mean (H) is given by the formula:

$G = √(AH)$

Squaring both sides we get;

$G^2 = AH$

Substitute the given values we have;

$(√(ab))^2 =(a+b)/(2) \cdot H$

⇒ $ab = (a+b)/(2) \cdot H$

Multiply by 2 both sides we have;

$2ab = a+b \cdot H$

Divide both sides by a+b we have;

$(2ab)/(a+b) =H$

$H = (2ab)/(a+b)$

Therefore, the formula correctly gives H in terms of a and b is, $H = (2ab)/(a+b)$

$G=√(AH) \n G^2=(√(AH))^2 \nG^2=AH \nH=(G^2)/(A) \n \n A=(a+b)/(2) \hbox{ and } G=√(ab) \n \Downarrow \nH=(G^2)/(A)=((√(ab))^2)/((a+b)/(2))=(ab)/((a+b)/(2))=ab * (2)/(a+b)=(2ab)/(a+b) \n \n\boxed{H=(2ab)/(a+b)}$

You are told that a bank investment can be modeled by a linear equation. The slope of the linear equation is positive and the value for b in the equation is 30,000. What can be said about the initial investment, and is the money increasing or decreasing, based on the information given?

Answers

If the investment can be modeled by a linear equation, the slope positive, and the value for the y-intercept is at 30,000, the equation of the line is
y = mx + 30,000
where m > 0

The initial investment is when x is 0 or the y-intercept. Therefore, the initial investment is $30,000

Since the slope of the line is positive, this means that the investment will increase through time.

If y = 3 when X = -9 find X when y =5

Answers

We don't have enough information to answer that question.

You haven't told us anything about how 'y' depends on 'x',
or how 'y' reacts to a change in 'x'.

If we think about it in terms of a graph, you've given us one point
on the graph . . . the point (-9, 3). In order to answer the question,
we need to know something about the line that goes through the
point. But you haven't told us anything about that, and there are
an infinite number of different lines that can go through one point.

Other Questions

`. Select all the pairs of equivalent expressions.a. (43)3 and 43 ⋅ 43b. (34)4 and 38 ⋅ 38c. 64 ⋅ 34 and 188d. 43 ⋅ 53 and 203e. (43)3 and 43 ⋅ 43 ⋅ 432. Choose an equivalent expression for 123 • 129 • 124 • 122.a. 12^4b. 12^18c. 12^35d. 12^2163. Choose an equivalent expression for 106 ÷ 104.a. 10^2b. 10^3c. 10^10d. 10^244. Select all the expressions that are equivalent to 78 • 7.a. 73 • 73b. 7^18/7^9c. (73)3d. 74 + 75e. 74 • 755. Is this equation correct?63 ⋅ 73 = 423A. Yes; 63 • 73 is equal to (6 • 7)3 or 423.B. Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).D. No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.

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