The path of a ball in flight is given by h(x) = -0.23(x – 3.4)^2 + 4.2 where x is
a. find h(2) and give a real-world meaning for this value
b. find the x values for h(2)= 2, and describe the real-world meaning of these values
c. how high was the ball when it was released
d. how far will the ball go before it hits the ground

Compound interest formula:

Total = principal( 1 + interest rate/number of compounds per year)^ (compounds x years)

Total = 1500(1 + 0.06/12) ^ (12 x 10)

Answer: $2,729.10

Answer:

Simplifying

-5 + -1(3a + b) + (2a + -7b) = 0

-5 + (3a * -1 + b * -1) + (2a + -7b) = 0

-5 + (-3a + -1b) + (2a + -7b) = 0

Remove parenthesis around (2a + -7b)

-5 + -3a + -1b + 2a + -7b = 0

Reorder the terms:

-5 + -3a + 2a + -1b + -7b = 0

Combine like terms: -3a + 2a = -1a

-5 + -1a + -1b + -7b = 0

Combine like terms: -1b + -7b = -8b

-5 + -1a + -8b = 0

Solving

-5 + -1a + -8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1a + 5 + -8b = 0 + 5

Reorder the terms:

-5 + 5 + -1a + -8b = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1a + -8b = 0 + 5

-1a + -8b = 0 + 5

Combine like terms: 0 + 5 = 5

-1a + -8b = 5

Add '8b' to each side of the equation.

-1a + -8b + 8b = 5 + 8b

Combine like terms: -8b + 8b = 0

-1a + 0 = 5 + 8b

-1a = 5 + 8b

Divide each side by '-1'.

a = -5 + -8b

Simplifying

a = -5 + -8b

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

reminder that the absolute value function always gives a positive result.

3 | - d + 2 | + 1 ( substitute d = 4 )

3 | - 4 + 2 | + 1

= 3 | - 2 | + 1

= 3 × 2 + 1

= 6 + 1

= 7

Slope Formula: (y2 - y1) / (x2 - x1)

Line 1: 3

Point 1 = (-5, -8)

Point 2 = (-1, 4)

Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3

Line 2: 3

Point 1 = (0, 1)

Point 2 = (2, 7)

Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3

Line 3: -1/3

Point 1 = (6, -7)

Point 2 = (-6, -3)

Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1 and Line 2 are parallel because they have the same slope.

Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.

Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.

Hope this helps!! :)

Answer:

3

3

-1/3

Parallel

Perpendicular

Perpendicular

Step-by-step explanation:

You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.

The formula for slope is y2-y1   divided by x2-x1

y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).

y1 is a point from the first pair like (-5, -8), or (0, 1).

You can plug in the values for example:

4 - (-8)  / -1 - (-5)

Two negatives equals a positive in math, so

12 / 4

= 3.

The slope for line 1 is 3.

You extend this to the other two lines.

For lines to be parallel, they must have the same slope.

1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.

Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.

For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)

A reciprocal slope of 19348 is -1/19348.

Following are calculation to the given eqution:

Given:

[tex]\bold{(-m^2+6)+(-4m^2+7m+2)}[/tex]

To find:

Solve the equation.

Solution:

[tex]\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\[/tex]

Therefore, the final solution is "[tex]-1(5 m^2-7m-8)[/tex]".

Learn more:

brainly.com/question/12685776

Answer:

12.6

Step-by-step explanation:

sorry only first one

Answer:

X = [tex]\sqrt{21}[/tex] or 4.5825756...

Step-by-step explanation:

[tex]A^{2} + B^{2} = C^{2}[/tex]

[tex]10^{2} + x^{2} = 11^{2}[/tex]

[tex]x^{2} = 11^{2} - 10^{2}[/tex]

[tex]x^{2} =121-100[/tex]

[tex]x^{2} =21[/tex]

x = [tex]\sqrt{21}[/tex]

Hope this helps!

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (11)² - (10)²

x² = 121 - 100

x² = 21

x = 4,6✔

Answer:

36 and 45

Step-by-step explanation:

Answer:

0.93

Step-by-step explanation:

Answer:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

Answer:

107r³

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

[tex]\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\[/tex]

lim x->4   plug in x=4

1/(x+1) = 1/(4+1) = 1/5

Answer:

K = 4

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can i pls have brainlist (crown)☺️)

Answer:

The answer is 4 or N100. Have an good day.

Answer:

24

Step-by-step explanation:

Answer:24

explanation

Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

Answer:

a)  and e)

Step-by-step explanation:

7 * 1/2 = 3.5

3.5 / 2 = 1.75

? = 1.75

a) 2 * 1.75 = 7 * 1/2 (correct!)

b) 7 * 1/2 * 1.75 = 2 (wrong!)

c) 2 * 7 * 1/2 = 1.75 (wrong!)

d) 1.75 * 7 * 1/2 = 2 (wrong! this is the b) backwards)

e) 1.75 * 2 = 7 * 1/2 (correct! this is the a) backwards)

'X' is the input while the 'C' is the output. Because the value of 'C' depends on the value of 'x', then C would be the dependent variable, and 'C' the independent variable.

Answer:

7

Step-by-step explanation:

jh

Answer:

7+32/77

Step-by-step explanation:

Step-by-step explanation:

3,4 i think....... mmmmmmmmm

Answer:

(4 , 25)

Step-by-step explanation:

y = 10*f(x) + 5   .... a = 10

a*f(x): vertical stretch with factor a, if | a | > 1 then (x , y) -> (x , ay)

(4 , 2) ==> (4 , 20)

f'(x) + b : vertical translation UP b units  y = 10*f(x) + 5 , (x,y) -> (x, y+5)

(4 , 20) ==> (4 , 25)

Answer:

-7/15

Step-by-step explanation:

To get the sum of two fractions, you need to make their denominators the same, ideally the least common denominator, or LCD.

So, first off, substitute x + y with the values of the variables to get -4/5 + 1/3. Next, find the LCD of the fractions. In this case, the denominators are both prime, so the LCD is the product of the denominators. Because 3 * 5 = 15), both denominators should end up being 15. Next, multiply both parts of both fractions by the number needed to get to that LCD. In this case, you're multiplying -4/5 by 3 on the top and bottom, and 1/3 by 5 on the top and bottom. This should get you an expression of -12/15 + 5/15. Next, add away! (-12 + 5)/15 = -7/15, and you're done!

Answer:

[tex]9\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]6\frac{1}{2} + 2\frac{5}{8} =\\\\ \\6+2 = 8\\\\\\8 \frac{1}{2} + \frac{5}{8} \\[/tex]

lcm of 2 and 8 is 8

[tex]8\frac{4+5}{8} = 8\frac{9}{8} = 9\frac{1}{8}\\[/tex]

Answer:

12x + 15 = 15

Step-by-step explanation:

step 2

9x + 3x + 15 = 15 ( collect like terms on left side )

step 3

12x + 15 = 15

1: 12 * [tex]10^{9}[/tex]

         We can easily tell this is the answer here as 12 is larger than 4. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

2: 3 * [tex]10^{12}[/tex]

         Same here, we can easily tell this is the answer here as 3 is larger than 1.5. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

3: 6 * [tex]10^{5}[/tex]

         This one is slightly more complicated than the other two, but still not to difficult when you know what you're doing.

          A tip: 10 to the fourth power ([tex]10^{4}[/tex]) is 10,000. Aka, a 1 with four zeros!

For the first one, 20 has a zero, so we can take it and put it onto the 10th power. We know have:

2 * [tex]10^{5}[/tex] and 6 * [tex]10^{5}[/tex]

         Using the same method as #1 and #2, we can tell that 6 * [tex]10^{5}[/tex]  is the answer here!

I hope this helps, have a nice day :D

Answer:

2x + 2 is your using distributive property

Step-by-step explanation:

Answer:

2x +1 =))))

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