What is the qoutient of 6 and -1/2?

Answer:

8x-34=74

Explanation-

Answer:

-4 ; 2

Step-by-step explanation:

x = largest  ; y= smaller

2y + 3x = -2

4y - 3x = -22

Best method = elimination

sum the the two equations and replace one by the equation found

6y = -24

2y + 3x =-2

solve the first equation for y by dividing the two members by 6

y = -4

substutue -4 at the y of the second equation and solve for x

-8 + 3x = -2

3x = 6

x = 2

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

[tex] \displaystyle h = 29.4t - 4.9 {t}^{2} [/tex]

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

[tex] \displaystyle \rm t= \frac{ - b}{ 2a} [/tex]

[tex]\displaystyle H_{\text{max}}=f(t)[/tex]

notice that, our given function is not in standard form i.e

[tex] \displaystyle f(x) = a {x}^{2} + bx + c[/tex]

let's make it so

[tex] \displaystyle h = - 4.9 {t}^{2} + 29.4t[/tex]

therefore we got

our a is -4.9 and b is 29.4

so substitute:

[tex] \displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9} [/tex]

remove parentheses and change its sign:

[tex] \displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9} [/tex]

simplify multiplication:

[tex] \displaystyle\rm t= \frac{ -29.4}{ - 9.8} [/tex]

simplify division:

[tex] \displaystyle \: t = 3[/tex]

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2[/tex]

simplify square:

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9[/tex]

simplify mutilation:

[tex]\displaystyle H_{\text{max}}=88.2-44.1[/tex]

simplify substraction:

[tex]\displaystyle H_{\text{max}}=44.1[/tex]

hence,

the maximum height of the baseball is 44.1 metres

Answer:

Solution given:

height

h=29.4t – 4.9t²

differentiating each term with respect to time (t)

[tex] \frac{d'(h)}{d(t)} [/tex]=[tex] \frac{d(29.4t – 4.9t²)}{d(t)} [/tex]

[tex] \frac{d'(h)}{d'(t)} [/tex]=29.4-9.8t

again second derivative

[tex] \frac{d''(h)}{d"(t)} [/tex]=-9.8

for maximum, minimum

first derivative =0

29.4-9.8t=0

t=[tex] \frac{29.4}{9.8} [/tex]=3

So it attains maximum height at t=3

so

maximum height=29.4×3-4.9×3² =44.1meters

So.

maximum height of the basketball is 44.1meters

Answer: (a)- [tex]0.99\ \text{units}[/tex]

Step-by-step explanation:

Given

Central angle is [tex]57^{\circ}[/tex]

The radius of the unit circle is [tex]1\ \text{unit}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r[/tex]

Put the values

[tex]\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}[/tex]

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

Answer:

y=3(x-2)²+49

Step-by-step explanation:

vertex-form is given as y=a(x-h)²+k, where (h,k) is the coordinate of the vertex

we are given the function in standard form, which is:

y=ax²+bx+c

our function is:

3x²-12x+61

the value of a is given as the value of the coefficient in front of the squared term (in this case, it's 3)

here's the function so far in vertex form:

y=3(x-h)²-k

now, we need to find the vertex

to find h, we can use the formula (-b/2a)

the value of b is given as the value of the coefficient in front of the linear term (in this case, it's -12)

and we know from above that a=3

substitute what we know into the formula:

h=-b/2a

h=12/2(3)

h=12/6

h=2

so h is 2

*Please note that when we substitute it into the function, it's -2

so here is our function so far:

y=3(x-2)²-k

now to find k, which is given in the formula c-(b²/4a)

we know from above that a=3, b=-12

c is the value of the constant (term without a variable). In this case, it's 61

once again, substitute what we know into the equation:

k=61-((-12)²/4(3))

k=61-(144/12)

k=61-12

k=49

therefore the function will be:

y=3(x-2)²+49

Hope this helps!

Answer:

12

Step-by-step explanation:

Answer:

11 songs

Step-by-step explanation:

11 songs would leave him with $10.30 left

Answer:

$11343.13

Step-by-step explanation:

From the given information:

Principal = 3000

rate = 7% = 0.07

time = 19 years.

The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:

[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]

Answer:

10 degrees celsius

Step-by-step explanation:

Answer:

y < x

Step-by-step explanation:

equation of line can be derived by finding slope and y-intercept

in this case the slope is 1 and the y-intercept is 0

equation is y = x

however, this is an inequality so answer is one of the following:

y > x  or  y < x

pick a point in the shaded region (these are the 'solutions'), let's pick (1, -1)

x = 1 and y = -1

which one is true?  -1 > 1  or  -1 < 1

-1 < 1 is the true one so inequality is y < x

Answer:

2.57

The mean variation in the number of pieces of fruits eaten by the classmates is 2.57

Step-by-step explanation:

Given the data:

X = 9, 4, 6, 2, 11, 10,7

The mean absolute deviation = Σ|x - xbar| / n

Xbar = mean value = Σx / n

n = sample size

The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7

Xbar = 49 / 7 = 7

Take the sum of the absolute value of the difference between the mean and x ;

Σ|x - xbar| / n =

= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7

= 2.57

Answer:

[tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Step-by-step explanation:-

The equation used to find the equation of circle is :-

[tex](x-a)^{2} + (y-b)^{2} = radius^{2}[/tex]

'a' means the x coordinate of the circle, 'b' means y coordinate of the circle.

In the question, it's given that the coordinates of the circle are (5, -8) and radius is 8cm.

So, 'a' will be 5 and 'b' will be -8

So,

[tex](x-5)^{2} + (y--8)^{2} = 8^{2}[/tex]

[tex](x-5)^{2} + (y+8)^{2} = 64[/tex]

[tex]x^{2} - 10x + 25 + y^{2} - 16y + 64[/tex]

[tex]x^{2} + y^{2} -10x -16y + 64 - 25[/tex]

= [tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Answer:

1) hypotenuse = 5

2) leg = 2.65

Step-by-step explanation:

1) x² = 3² + 4² = 9 + 16 = 25

x = √25 = 5

2) x² = 4² - 3² = 16 - 9 = 7

x = √7 = 2.65

Answer:

hi!!! the answer is x = weight in pounds of bananas in the basket!

hope that helped

Step-by-step explanation:

so we have the total of the apple in the basket so we already know the apple but we need to know the bananas weight in the basket!

Answer:

B. 28

Step-by-step explanation:  

Answer:

B. 28

Step-by-step explanation:

for every 4 boys there is 3 girls

so,

from 4 to 16 you multiply by 4,

4 x 4 = 16 (what you do to one you do to the other:

4 x 3 = 12

It's asking for the total amount

if there is 16 boys there is 12 girls with the ration of 16:12

add them up,

16 + 12 = 28 (That's your answer).

Answer: heres an example

Step-by-step explanation:Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

Answer:

SAS, SSS

Step-by-step explanation:

You're A>A>S

Answer:

$4.80

Step-by-step explanation:

Answer:

$4.80

Step-by-step explanation:

To get the price of one can, we divide 3 by 5

After doing this, we find one can costs $0.60

0.6 · 8 = $4.80

Answer:

1,485

Step-by-step explanation:

The formula for area is A=bH (base x height) so you multiply 45 x 33

Answer:

D, I think

Step-by-step explanation:

Answer:

z = 68, x = 9

Step-by-step explanation:

z must equal 68 since they're vertical angles.

-----------------------------

180 - 68 = 112

12x + 4 = 112

---> x = 9

Answer:

z = 68 degrees

x = 9

Step-by-step explanation:

z = 68 degrees because of the vertex angle theorem

x is a little more complicated

First you set 68 + (12x + 4) equal to 180 becuase a straight line is 180 degrees.

68 + (12x + 4) = 180

-68 -68

12x + 4 = 112

-4 -4

12x = 108

/12 /12

x = 9

Answer:

r = 8.28

Step-by-step explanation:

Circumference of a circle:

C = 2πr

52 = 2(3.14)r

52 = 6.28r

r = 52/6.28

r = 8.28

Answer:

98 bracelets are in the box

Answer:

112

Step-by-step explanation:

Answer:

I think D cause it has an exponent

Answer:

your answer is d because it is havinf power 2

Step-by-step explanation:

x - 3y = 2

x=2+3y.....(1)

2x - 6y = 6

2(2+3y)-6y=6

it is not measurable.

Answer:

Step-by-step explanation:

Answer:

30000

Step-by-step explanation:

discount (d)= 5%of M.p

=5/100 * 600000

=30000