A box without a top is to be made from a rectangular piece of cardboard, with dimensions 12 in. by 16 in., by cutting out square corners with side length x and folding up the sides.

A) Write an equation for the volume V of the box in terms of x.
B) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume.
Please explain how you go your answer

Answer:

-7, 1

Step-by-step explanation:

The roots of an equation are the answers to the equation, where the graph of the equation intersects the x-axis. One can see that the points at which the graph intersect the x-axis are the following,

(-7, 0) and (1, 0), therefore the roots to the equation are the following;

-7, 1

Answer:

333.67

Step-by-step explanation:

trust

Answer:

4 and 5

Step-by-step explanation:

Answer: 6.6 miles

Step-by-step explanation:

Since he finished 22% of his skiing in the morning, that means he still has 78% (100% - 22%) of his skiing left.

The remaining 78% is equivalent to 23.4 miles. We need to know the total miles of the skiing. This will be:

78% of x = 23.4

0.78 × x = 23.4

0.78x = 23.4

x = 23.4 / 0.78

x = 30 miles

Since the total skiing is 30 miles and he has 23.4 miles left, the miles covered in the morning will be:

= 30 - 23.4

= 6.6 miles

Answer:

(1, 3 )

Step-by-step explanation:

Substitute x = 1 into the equation

y = [tex]\frac{1}{2}[/tex] × [tex]6^{1}[/tex] = [tex]\frac{1}{2}[/tex] × 6 = 3

(1, 3 ) ← with output value y = 3

The required output value for the exponential function at x = 1 is y = 3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Here,
[tex]y = 1/2*6^x[/tex]
at x = 1
putting the value of the x in [tex]y = 1/2*6^x[/tex]
[tex]y = 1/2*6^1[/tex]
y = 6/2
y = 3

Thus, the required output value for the exponential function at x = 1 is y = 3.

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ2

For this exponential function, what is the output value (y), when the input value (x) is 1 is determined?

Answer:

0 -> 6 in frquency

1 -> 8 in frequency

2 -> 8 in frequency

3 -> 6 in frequency

4 -> 6 in frequency

5 -> 8 in frequency

6 -> 2 in frequency

7 -> 2 in frequency

Step-by-step explanation:

brainliest plz

Answer:

27º

Step-by-step explanation:

complementary angle is equal to 90º

90 - 63 = 27

Answer:

1/100

Step-by-step explanation:

Answer:

It would take around 5 Days

answer:

it was translated 5 units to the right and 2 units up

step-by-step explanation:

Correct Answer:

It was translated 5 units to the right and 2 units up.

Answer:

750 units.

Step-by-step explanation:

30 x 30 = 900 units (total space in the classroom)

2 x 3 = 6 units (how much space each desk takes up)

25 x 6 = 150 units (number of desks for each student)

900 - 150 = 750 units

Hope this helped!

Answer:

A, D, E

Step-by-step explanation:

y=mx+b b is the y-intercept

I can see that 3 equations have -8 as a y-intercept so select those

Ex: y=3x-8

Answer:

the equation is x-6

pls mark me as brainliest

Answer:

1000 cm2

Step-by-step explanation:

Pretty sure

Answer:

Your answer is: 1000[tex]cm^{2}[/tex]

Step-by-step explanation:

Answer: 6/10

Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.

Answer:

question 1 , area= 42.02 sq meter, circumference=22.98 meter

question 2, area=481.609sq meter, lenght of BC=263.3472 meter

for convience i converted yards to meter.

Step-by-step explanation:

in first question to find area of circle by multiplying value of pi (3.14) and square of radius of circle and to find circumference just multiply 2 with value of pi(3.14) and radius of circle.

in the second question to find area of sector use formula 1/2 r^2 x72 and to find lenght of arc bc use formula length= radius x 72

Answer:

y=-1

Step-by-step explanation:

y=7-2x      x=4

plug in x : y=7-2*4

y=7-8

y=-1

Answer:

-1

Step-by-step explanation:

-2 times 4 = -8

7-8=-1

Step-by-step explanation:

A. square centimeters

B. centimeters

C. square centimeters

D. centimeters

E. cubic centimeters

Answer:

it is 0.4

Step-by-step explanation:

Answer:

You didn't add the value of the slope and y intercept. Don't think there's anything that can be done with the info you provided.

Given:

Two triangles congruent by ASA.

To find:

The the measures of x, y, angle QPR and angle QRP.

Solution:

The triangles PQR and PSR are congruent by ASA. So,

[tex]\angle QPR\cong \angle SPR[/tex]

[tex]PR\cong PR[/tex]

[tex]\angle QRP\cong \angle SRP[/tex]

Now,

[tex]m\angle QPR=m\angle SPR[/tex]

[tex]2x+1=x+18[/tex]

[tex]2x-x=18-1[/tex]

[tex]x=17[/tex]

And,

[tex]\angle QRP= \angle SRP[/tex]

[tex]8y-4=4y+28[/tex]

[tex]8y-4y=4+28[/tex]

[tex]4y=32[/tex]

Divide both sides by 4.

[tex]y=8[/tex]

The measure of angle QPR is:

[tex]m\angle QPR=(2x+1)^\circ[/tex]

[tex]m\angle QPR=(2(17)+1)^\circ[/tex]

[tex]m\angle QPR=(35+1)^\circ[/tex]

[tex]m\angle QPR=36^\circ[/tex]

And,

[tex]m\angle QRP=(8y-4)^\circ[/tex]

[tex]m\angle QRP=(8(8)-4)^\circ[/tex]

[tex]m\angle QRP=(64-4)^\circ[/tex]

[tex]m\angle QRP=60^\circ[/tex]

Therefore, the required values are [tex]x=17, y=8, m\angle QPR=36^\circ ,m\angle QRP=60^\circ[/tex].

Answer:

1020m

Step-by-step explanation:

1km=1000

2020m-1000m=1020m

Answer:

S=9

Step-by-step explanation:

First combine like terms

2s+20=38

then simplify

2s=18

S=9

9514 1404 393

Answer:

  D.  2%  

Step-by-step explanation:

The growth rate can be found by looking at the growth factor of the exponential function.

  f(x) = (initial value) × (growth factor)^x

The growth rate is related by ...

  growth factor = growth rate + 1

This means the growth rate of f(x) is 1.04 -1 = 0.04 = 4%.

__

We can write the function g(x) describing the table as ...

  g(x) = (value at x=x1) × ((value at x=x2)/(value at x=x1))^((x-x1)/(x2-x1))

So, this could be ...

  g(x) = 31.21 × (32.47/31.21)^((x-2)/2) = a·b^x

     where b = (32.47/31.21)^(1/2) ≈ 1.02 . . . . growth factor

This means the growth rate for g(x) is 1.02 -1 = 0.02 = 2%.

__

Then the difference between the growth rates of the two functions is ...

  4% - 2% = 2% . . . . . matches choice D

Answer:

x = 21

Step-by-step explanation:

21 x 3 = 63 and 63 + 67 = 130 and sense there across from eachother this is correct because vertical angles are always the same measure.

Hope this helps!

Answer:

4.5 yard width, 12 yard length

Step-by-step explanation:

Answer:

Solution given;

width [b]=1.5in=4.5yd

length[l]=4in=12yd

area =l×b=4.5×12=54yd² is actual area.

Answer:

9x3+7y3−9x−7y

Step-by-step explanation:

simplify

Answer:

9x3+7y3−9x−7y

Step-by-step explanation:

just simplify then u get this answer

Answer:

2.6

Step-by-step explanation:

it would be 2.6 because you minus 3.90 and 6.50

Answer: 19

Step-by-step explanation: It's not close to any of the other numbers, if you put it on a dot plot you can see it's farther down.