A carpenter is cutting a 2 by 4 framing for a roof. The legenth needs to be 5 feet. He allows 0.1 foot possible variation for the length of the cut. What values of l represent the acceptable length for the board in feet?​
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Answer:

Step-by-step explanation:

If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.

Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:

          __________

2x - 3 | [tex]6x^2+x-15[/tex]

First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later).  2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:

           3x_______

2x - 3 | [tex]6x^2+x-15[/tex]

Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:

           3x________

2x - 3 | [tex]6x^2+x-15[/tex]

           6x^2-9x        

At this point we change the signs and have

            3x                

2x - 3   | 6x^2 + x - 15

          -  6x^2 +9x

And then we add and bring down the -15:

           3x                  

2x - 3 | 6x^2  + x - 15

         - 6x^2 + 9x

                       10x - 15

Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:

           3x    +   5      

2x - 3 | 6x^2 +  x - 15

        -  6x^2 + 9x

                       10x - 15

Now we wwill multiply the 5 by both the 2x and the -3 and subtract:

           3x     +  5    

2x - 3 | 6x^2 +  x - 15

         - 6x^2 + 9x

                       10x - 15

                     - 10x + 15

Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.

That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2.  :/  

Answer:

[tex]5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

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

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

Answer:

A = 0.50j + 6.......u r correct

he started with 6....and he is selling each cup (j) for 0.50

so lets say he sold 10 cups...u would sub in 10 for j

A = 0.50(10) + 6

A = 5 + 6

A = 11......and he would have $ 11

Answer:

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]

[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]

The y value achieves its minimum at x = 4/3

Answer:

X=20°

Step-by-step explanation:

SinX+16°+Cos2X+14°=90

3x+30=90

3x=60

x=20°

Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.

Answer:

500 /3 pi cm^3

Step-by-step explanation:

The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm

That means the radius is  

r =d/2 =10/2 = 5 cm

The volume of a sphere is

V = 4/3 pi r^3

  = 4/3 pi (5)^3

  = 500 /3 pi cm^3

Answer:

Your correct answer is 500/3 cm^3

I will show you how and tell you why it is 500/3 cm^3 down below:

Explanation:

The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:

r = d/2 = 10/2 = 5 cm

and right here I will show you the volume of the sphere:

v = 4/3 r^3

= 4/3 (5)^3

= 500/3 cm^3

Showing these results, you can see that the answer is 500 /3 cm^3

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

Answer:

C.

Step-by-step explanation:

x(6x - 1) – 3(6x - 1) = (6x - 1)(x - 3)

The factor of the polynomial x(6x - 1) – 3(6x - 1) is (6x -1) (x - 3).

The correct option is C.

To factor the polynomial x(6x - 1) - 3(6x - 1), we can observe that both terms have a common factor of (6x - 1). We can factor out this common factor using the distributive property.

The given expression can be rewritten as:

x(6x - 1) - 3(6x - 1)

Now, we can factor out the common factor (6x - 1):

(6x - 1)(x) - (6x - 1)(3)

Notice that we have (6x - 1) as a common factor in both terms. We can combine the two terms using this common factor:

(6x - 1)(x - 3)

Therefore, the factored form of the polynomial x(6x - 1) - 3(6x - 1) is (6x - 1)(x - 3).

Option C: (6x - 1)(x - 3) is the correct answer.

To learn more about Polynomials;

brainly.com/question/11536910

#SPJ6

Answer:

Y = 0

Step-by-step explanation:

Y = -1/2 x²

To find y-intercept, substitute X = 0

Solve the equation for y

Y = 0

Answer:

The last one

Step-by-step explanation:

Since we already know an angle and a safe are equal we just need one more pair of corresponding angles

Answer:

the fourth one.

Step-by-step explanation:

that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

Where [tex]b[/tex] is the y-intercept.

[tex]y=3x+5[/tex]

[tex]b=5[/tex]

Answer:

-3 is the slope

5 is the intercept

Answer:

  On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0)

Step-by-step explanation:

An odd function is symmetrical about the origin. It will satisfy the relation ...

  f(-x) = -f(x)

Of the given points, the set that is symmetrical about the origin is found on the 3rd graph:

  (-4, 0), (0, 0), (4, 0)

Answer:

B on edge

Step-by-step explanation:

took the test

Answer:

0.05

Step-by-step explanation:

100 windows is 1.00

95 windows is 0.95

5 = 0.05

Answer:

5

Step-by-step explanation:

The square root of a number is basically that number multiplied by itself.

for example, the square root of 4 is 2 because 2 x 2 is 4

the square root of 25 is 5 because 5 x 5 = 25

Answer:

root 25 = 5

Step-by-step explanation:

because when we will do the prime factorisation then at your left side 5x5 will come aand at right side will come so, 5x5 = 25 .

please mark my answer as a brainliest answer and follow me

Answer:

0.46 newtons

Step-by-step explanation:

For these kinds of problems, you can employ the formula

[tex]E=\dfrac{F}{q}[/tex]

where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:

[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]

[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)

Hope this helps!

Answer:

your answer is 1.50 E4 N/C

Step-by-step explanation:

Answer:

D) [tex]Y = 1.03(2.93^x)[/tex]

Step-by-step explanation:

To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.

x: 1 2 3 4 5 6

y: 3 8 27 85 240 570

A. Y = 2.93([tex]1.03^x[/tex])

Substituting x = 1 to get

Y = 2.93(1.03) ≅ 3

Substituting x = 2 to get

Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1

Option A is wrong

B. Y = 38.73x² – 168.58x + 158.1

Substituting x = 1 to get:

Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25

Therefore option B is wrong

C. Y = [tex]102.54^x - 203.4[/tex]

Substituting x = 1 to get:

Y = 102.54 – 203.4 = -100.86

D) [tex]Y = 1.03(2.93^x)[/tex]

Substituting x = 1 to get:

[tex]Y = 1.03(2.93^1)=3[/tex]

Substituting x = 2 to get:

[tex]Y = 1.03(2.93^2)=8.84[/tex]

Substituting x = 3 to get:

[tex]Y = 1.03(2.93^3)=25.9[/tex]

Option D is the closest, it is the correct option

Answer:

The Value of 9a+6b is 27. and the value of 4x+3y is 30.

Explanation

1)

3a+2b=9

multiplying both by side by 3

or, 3×( 3a+2b)=3×9

Hence, 9a+6b=27

2)

8x+6y=60

Dividing both by side by 2

or, (8x+6y)/2 = 60/2

Hence, 4x+3y=30

Answer:

Yes

Step-by-step explanation:

Yes because there is only 1 y value per x value.

Answer:

yes

Step-by-step explanation:

There is a one to one correspondence and this will pass the vertical line test

Answer:

1/3

Step-by-step explanation:

3×x=1

x= 1/3

Step-by-step explanation:

Surface area of a cylinder:

A = (2 x pi x r x h) + (2 x pi x r^2)

(2 x pi x 5 x 25) + (2 x pi x 5^2)

785.3981 + 157.0796 = 942.4777cm^2

Volume of cylinder:

V = pi x r^2 x h

pi x 5^2 x 25 = 1963.4954cm^3

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

Answer:

option c. 10.2%

Step-by-step explanation:

Number of visitors to Alec's website in February = 1,544

Number of visitors to website in March = 1,386

Number of decreasing members = 1544 - 1386 = 158 visitors

decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]

                                    = [tex]\frac{158}{1544}\times 100[/tex]

                                    = 10.233 ≈ 10.2%

percentage decrease of the number of visitors is 10.2%.

Option c. is the answer.

Answer:

secondary consumers:  foxes, owls, and snakes. Wolves, crows, and hawks

carnivores: Lion, Wolf, Leopard, Hyena, Polar Bear, Cheetah, Giant Panda.

omnivores: Bears, pigs, racoons, opossums, hedgehogs, skunks, squirrels, rats, and mice

hope this helped!

Answer:

Its 90 degrees

idk if this helps but i hope it does :)

Step-by-step explanation:

For any triangle, the three angles always add to 180

(y+10)+(2y)+(50) = 180

3y+60 = 180 ... combine like terms

3y+60-60 = 180-60 ... subtract 60 from both sides

3y = 120

3y/3 = 120/3 .... divide both sides by 3

y = 40

Answer:

so the answer is f, the last one