given the quadratic equation f(x) = -0.5x squared what is the value of f(35)

Answer:

b = 15.2 m

h = 13.2 m

Step-by-step explanation:

The area of a right triangle is given by:

[tex] A = \frac{bh}{2} [/tex]    (1)

Where:

b: is the base

h: is the height

If the base is 2 meters greater than the height we have:

[tex]b = h + 2[/tex]   (2)

And if the area of the triangle is 100 m², the dimensions of the base can be found by entering equation (2) into (1):

[tex]100 m^{2} = \frac{(h + 2)*h}{2}[/tex]

[tex] 200 m^{2} = h^{2} + 2h [/tex]      

[tex] h^{2} + 2h - 200 m^{2} = 0 [/tex]  

By solving the above quadratic equation we have:

[tex] h = 13.2 m [/tex]

And by entering the above value into equation (2) we have:

[tex]b = 13.2 + 2 m = 15.2 m[/tex]

Therefore, the dimensions of the base and the height are 15.2 m and 13.2 m respectively.

I hope it helps you!                            

Answer:

1. true

2. true

3. false

4. true

5. true

Answer: $22

Step-by-step explanation:

The wall is 23 ft by 8 ft, so if you multiply both sides of the rectangle together, you get the area.

23 * 8 = 184 ft^2

Since the wall requires 2 coats of paint, that means you'll just need to double the area you need to cover (since you're covering it twice).

184 * 2 = 368 ft^2

Now that we know how much square feet of area we need to cover, we can try and figure out how many gallons of paint we need to cover said area.

One gallon of paint covers 320 ft^2, so we can divide the area we need to cover (368) by the area a single gallon can cover (320) to get the amount of gallons we need to cover the wall.

368 / 320 = 1.15 gallons

To cover the wall twice, we need 1.15 gallons of paint. Assuming we can't buy 0.15 of a gallon, we will just need to buy two full gallons. Each gallon is $11, so two gallons each costing $11 is:

2 * 11 = $22

Side note: IF you can buy 0.15 of a gallon, then just multiply 1.15 * 11 = $12.65

Answer:

A. 26

Step-by-step explanation:

We can just put in the value of x into the equation.

x(15 - x) = 15x - x²

            = 15 × 2 - 2²

            = 30 - 4

            = 26

Answer:

x

=

1

and

y

=

−

2

Explanation:

Here ,

3

x

−

2

y

=

7

...

.

→

(

1

)

5

x

+

y

=

3

...

...

→

(

2

)

Multiplying eqn.

(

2

)

by

2

and adding:

i

.

e

.

(

1

)

+

2

×

(

2

)

we get

3

x

−

2

y

=

7

10

x

+

2

y

=

6

−−−−−−−−−−−−−

13

x

+

0

=

13

∴

x

=

1

Subst.

x

=

1

into

e

q

n

.

(

2

)

we get

5

(

1

)

+

y

=

3

∴

5

+

y

=

3

∴

y

=

3

−

5

∴

y

=

−

2

Hence,

x

=

1

and

y

=

−

2

Answer:

[tex]y=\frac{3}{2}x+\frac{-7}{2}[/tex]

Or, for a more simplified version:

[tex]y=\frac{3x}{2}-\frac{7}{2}[/tex]

Or, for an EVEN MORE simplified version:

[tex]y=\frac{3x-7}{2}[/tex]

Step-by-step explanation:

There are three different forms of answers that I put for you, but they are all still equivalent answers, it’s just that one is more simplified than the other. If I were you, I would pick the most simplified version.

Also, the image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

the function is represented by linear because the units are the same

Answer: No Solution

Step-by-step explanation: In picture

Answer:

B

Step-by-step explanation:

I hope this helps you out!

Answer:

yes it is b

Step-by-step explanation:

Answer:

130 a year, so it would be $520 interest for 4 years in the bank.

Answer:

x = -4

Step-by-step explanation:

-4x + 1 > 9

-4 * -4 + 1 = 13

13 > 9

Answer:

we know

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

Answer:

7 calls in a day

Step-by-step explanation:

You divide 252 by 36 which equals 7

Answer:7 calls in a day

Step-by-step explanation:

Answer:

3:4, 30:24, 60:48

Step-by-step explanation:

Answer:

30:24

45:36

60:48

75:60

90:72

105:84

120:96

135:108

150:120

Step-by-step explanation:

hope it helps

Answer:

Binomial distribution = 0.1026

Normal approximation = 0.1066

Step-by-step explanation:

Given that :

p = 100% - 7% = 0.93

n = 300

1 - p = 0.07

Probability of atleast 285 rooms getting booked :

P(x = x) = nCx * p^x * (1-p)^(n-x)

To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :

P(x ≥ 285) = 0.1026

Using Normal approximation :

Mean (m) = np = 300 * 0.93 = 279

Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42

Using :

Z = (x - m) / s

P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5

Z = (284.5 - 279) / 4.42

= 1.2443

P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)

Answer:

The answer is m=2/3

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

In order to find the answer you need to use the formula for slope and solve, simplifying if needed.

[tex]Slope=\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex](y^2,y^1)=(-2,4)[/tex]

[tex](x^2,x^1)=(0,3)[/tex]

Substitute:

[tex]\frac{-2-4}{0-3}[/tex]

Solve:

[tex]-2-4=-2+-4=-6[/tex]

[tex]0-3=-3[/tex]

[tex]=\frac{-6}{-3}[/tex]

Simplify:

[tex]-6\div3=-2[/tex]

[tex]-3\div3=-1[/tex]

[tex]=\frac{-2}{-1}[/tex]

[tex]\frac{-2}{-1} =-2[/tex]

[tex]=-2[/tex]

Hope this helps.

Answer:

no its not a right triangle.

Answer:

The three numbers will therefore be close to 21.98. So, I'd say they'd be

21,22,23 whose product is 10626

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

carlos got 25 and Jonathan got 15.

Step-by-step explanation:

5+3=8 40/8=5

5×5=25. 5×3=15

Answer:

200$ equals 170 euros so he will have 170 euros

Answer:

132 m

Step-by-step explanation:

distance= speed*time

d=0.4*330

=132

The distance between the director and the drum will be; 132 m.

Speed can be calculated as the ratio of distance traveled to the time taken.

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.

Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.

The formula of the sound in correlation with time of hear and distance is ;

time of hear = speed of sound : distance.

As per data given, time of hear = 0.40s;

speed of sound = 330 m/s.

The distance will be:

Distance= speed  x time

d = 0.4 x 330

d = 132

Learn more about speed here;

https://brainly.com/question/7359669

#SPJ6

Answer:

11

Step-by-step explanation:

Since 4 is not 5 or higher you round down so it is just 11

Answer:

11.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

both of those equations that are in the system are lines

first line it has a y-intercept at (0, -4) and a slope -1/2 so you can use that to

find another point ( 2 ,-5)

Since the equation has ≥ DRAW a solid line trough points (0, -4) and (2,-5)

Now highligt above the line since (0,0) cheks for the equation

second line goes troughh the points  (0,1) because of y-intercept and point (1,2) because the slope is m=1

draw a solid line trough those points and highlight under the line

the intersection of the 2 highlighted ares is your solution

Answer:

rate of 6

Step-by-step explanation:

Answer:

g(1) = -3

Step-by-step explanation:

g(x) = 4x-7

Let x=1

g(1) = 4*1 -7

     = 4 -7

     = -3

Answer:

-3

Step-by-step explanation:

Answer: the answer is A.

Step-by-step explanation:

I took the test

Answer:

48sq^2

Step-by-step explanation:

(12*8)/2

96/2

48