3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.

Answer:

Undefined

Step-by-step explanation:

I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:

[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]

And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.

Hopefully that's helpful! :)

Answer:

undefined

Step-by-step explanation:

(-5, 1) and (-5, 4) lie on the same vertical line.

A vertical line has undefined slope.

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

Answer:

The system has no solutions.

Step-by-step explanation:

Let's write it in a more traditional form

[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]

Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.

Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd

Answer:

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

Answer:

12/11

Step-by-step explanation:

just turn it around

Answer:

5 = k2

k = 2.5

happy learning

Answer:

3b

Step-by-step explanation:

Answer:

(x - 2) / (x - 1)

Step-by-step explanation:

(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom

(x - 2) / (x - 1) <-- cancel out x + 3

Refer the attachment please

Hope it helps

Best of luck

Answer:

Step-by-step explanation:

Use the proportion we have to find the horizontal length:

When y = 10, the value of x is:

[tex]\\ \sf\longmapsto y=2x[/tex]

Put y=10 in equation

[tex]\\ \sf\longmapsto 10=2x{/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]

[tex]\\ \sf\longmapsto x=5units[/tex]

Answer:

37.162

Step-by-step explanation:

We know that 10 to the third power is 10³ = 1000. When a number is divided by 1000, the decimal point is moved 3 digits to the left. Therefore, we can get 37,162/1000 = 37.162

Answer:

16) 16/3

17.) ength of PM = 20/3

18.) 60

19.) 30

20.) true

Step-by-step explanation:

4/6 = x/8

32/6=x

16/3=x

4/6 = x/10

20/3 = x

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

Answer:

5

Step-by-step explanation:

h(w)=2(1)+3

h(w)=2+3

h(w)=5

please give me brainliest think took some thinking

Answer:

6:

x=  6(y−2)/5

8:a=−(b+c+4)

b=−(a+c+4)

Step-by-step explanation:

Answer:

Train A: 238    Train B: 194

Step-by-step explanation:

436-242=194-436=-238

Flip the sign for 238 and you get your answer.

(This might not be correct)

Answer:

add

subtract

multiply

Step-by-step explanation:

Answer:

254 in the first blank

Step-by-step explanation:

There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Given that

There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.

There are actually 254 counties.

The amount of error in Pedro's estimate is 4.

Now we need to find percent error in Pedro's estimate.

4/254×100

=0.0157×100

=1.574%

Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

To learn more on Percentage click:

#SPJ5

Answer:

x=1

Step-by-step explanation:

Answer:

33/2 or

Step-by-step explanation:

2x−7

4

=

x+3

3

(2x−7)*(3)=(x+3)*(4)

6x−21=4x+12

Step 2: Subtract 4x from both sides.

6x−21−4x=4x+12−4x

2x−21=12

Step 3: Add 21 to both sides.

2x−21+21=12+21

2x=33

Step 4: Divide both sides by 2.

2x/2

=

33/2

x=

33/2

Answer:

  x = 33/2 = 16 1/2

Step-by-step explanation:

You can clear fractions first, or you can work with the fractions as is.

  (2x -7)/4 = (x +3)/3

  2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses

  (1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x

  1/6x = 11/4 . . . . . . . . . . . simplify

  x = 66/4 = 33/2  . . . . . multiply by 6, reduce the fraction

Answer:

Yes,

[tex]y^{6} x[/tex]

Step-by-step explanation:

[tex]y^{5} xy = y^{5} *y*x = y^{6} x[/tex]

Answer:

If we assume that everyone in the group is an owner, we would have

[tex]20*2=40[/tex] legs.

[tex]64-40=24[/tex] legs

Therefore, we need 24 more legs.

These 24 additional legs can be made from the difference of legs between the owners and dogs.

In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.

24 ÷ 2 = 12.

There are 12 dogs in the group.

Answer:

x = ± 8

Step-by-step explanation:

[tex]\dfrac{1}{2}x^{2}=32[/tex]

Multiply the equation by 2

x² = 32*2

x² = 64 = 8²

x = 8

Answer:

(3a+2) (a+2)

Step-by-step explanation:

3a²+8a+4

ur sum is 8

ur product is 12

6x2 = 12

6+2=8

3a²+6a+2a+4

3a(a+2)+2(a+2)

(3a+2) (a+2)

Step-by-step explanation:

you really need help with that ?

250g = 0.250kg = 0.25kg

comparing 0.25kg with 1.25kg : how many times of 0.25 is 1.25 ?

it is the same as with 25 to 125.

5 times !

so, you need to multiply the price also by 5 to get the price per 1.25kg :

0.88 × 5 = £4.40 = 440 pence per 1.25kg

Answer:

15n - 12

Step-by-step explanation:

18 ----> 3 = 15

3 -15 = -12

Answer:

I only know the second one sooorrry

if you say its classification so that type of traingle is obtuse triangle

Step-by-step explanation:

Answer:

15 boys

Step-by-step explanation:

Step 1: Set up the equation.

Step 2: Combine like terms.

Step 3: Divide both sides by 7.

Step 4: Plug in the value of 5 for x in 3x.

Therefore, the answer is 15 boys.