Travis buys a new deep freezer. The manual tells him the temperature will drop 12℃ every hour after he plugs it in. It is currently 70℃ in his house. He checks several hours later and the freezer reads -2℃. How many hours have passed? Write an equation and solve.

#1 p(x)=(x-3)*(x-5)*(x-1)=x3-9x2+23x-15

You try the next one...a fractional root would look like (x-3/2)

Using the Factor Theorem, it is found that an example of a polynomial of degree at least 3 where one or more of the roots are fractions is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In this problem:

Hence:

[tex]f(x) = (x - x_1)(x - x_2)(x - x_3)[/tex]

[tex]f(x) = (x - 1)(x - 2)\left(x - \frac{1}{2}\right)[/tex]

[tex]f(x) = (x^2 - 3x + 2)\left(x - \frac{1}{2}\right)[/tex]

[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]

To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382

A fraction whose numerator and denominator have the same value.

Step-by-step explanation:

I'm not sure but i believe is that one

The best definition of the term "reciprocal" is: A fraction that is the multiplicative inverse of the given fraction. The correct option is option B

The reciprocal of a fraction is obtained by swapping the numerator and the denominator of the fraction. It is a number that, when multiplied by another number, results in a product of 1. For example, the multiplicative inverse of 2 is 1/2, because 2 × 1/2 = 1. In general, if a number "a" has a multiplicative inverse "b," then a × b = 1. However, not all numbers have multiplicative inverses.

Reciprocals are also knowns as multiplicative inverse. Multiplicative inverses are essential in various mathematical operations and concepts, including fractions and solving equations involving division.

Learn more about multiplicative inverses here

https://brainly.com/question/21973802

#SPJ3

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

The value of p = 2.

Given:

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

Comparing x - 1 with x - a then

Substitute the value of x = 1, then we get

[tex]$1^3+p*1^2-1-2 = 0[/tex]

[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]

Apply rule [tex]$1^{a}=1$[/tex]

[tex]$&1^{3}=1,1^{2}=1 \\[/tex]

[tex]$&1+1 \cdot p-1-2=0[/tex]

Multiply: p-1 = p

1+p -1-2=0

Group like terms

p+1-1-2 = 0

Add/Subtract the numbers: 1-1-2 = -2

p-2 = 0

Add 2 to both sides

p-2+2 = 0+2

Simplify

p = 2

Therefore, the value of p = 2.

To learn more about polynomial function

https://brainly.com/question/11434122

#SPJ2

Answer:

x = 5

Step-by-step explanation:

2 (x + 4) = 18

x + 4 = 9

x = 5

Answer:

x=5

Step-by-step explanation:

2(x + 4) = 18

Divide each side by 2

2/2(x + 4) = 18/2

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

Answer:3.657 hope this helps

Answer:

igneous

Step-by-step explanation:

igneous rocks are made out of molten lava or magma

Answer:

sedimentary rock/igneous rock and Metamorphic rock

Step-by-step explanation:

Answer:

y= -7x -27

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.

Answer:

160 is the total

Step-by-step explanation:

Number of tables with 2 chairs: 20

Number of tables with 4 chairs:  30

40% of the tables have 2 chairs at each table. In total, there are

40  chairs at these tables.

60%  of the tables have 4 chairs at each table. In total, there are  120  chairs at these tables.

Altogether, the restaurant has a total of  160  chairs

if is wrong i'm sorry

Answer:

so x would be 3x+24

Step-by-step explanation:

see ya

Answer:

The school would need to buy 12 containers for each student to receive 1 Twizzler.

Step-by-step explanation:

1250/105 = 11.9 or 12

Answer:

B and C

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

ratio of H20 to Oil = (Amount of H20) / (Amount of Oil) = (2/3 cup)/(1/2 cup) =

(2/3) / (1/2) = (2/3) * (2/1) = 4/3 = 4:3

Answer:

8 years

Step by step guide:

100,000 x 8 = 800,000

600,000 x 8 = 4,800,000

6,900,000 + 4,800,000 = 11,700,000

12,500,000 - 800,000 = 11,700,000

Answer:

<

Step-by-step explanation:

Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is [tex]10^3[/tex] whereas the right side is [tex]10^4[/tex]. This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.

[tex]10^3 = 1000\\10^4 = 10000[/tex]

Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.

Hope this helps!

Problem 11

Answer: Not a function

Why not? Because it fails the vertical line test. It is possible to draw a single straight vertical line through more than one point on this blue curve.

Put another way: An input like x = 2 produces more than one output (y = 2 and y = 4 at the same time). If we wanted a function, we need any given input in the domain to produce exactly one and only one output.

=============================================================

Problem 15

Answers:

Explanation:

The domain is the set of allowed x values. The left-most point on the blue curve is when x = -4, which is the smallest item allowed in the domain. The largest value allowed is x = 2, as this occurs at the right-most point on the blue curve. Therefore, our domain here is [tex]-4 \le x \le 2[/tex]

The range is similar, but we focus on y values this time. The lowest the graph goes is y = 2, and the highest it goes is y = 6. So [tex]2 \le y \le 6[/tex] represents the range of possible y outputs.

For both the domain and range, both endpoints are included.

=============================================================

Problem 16

Answers:

Explanation:

We follow the same idea as before. This time however, we have open holes which means that we do not include the endpoints.

The domain is [tex]2 < x < 7[/tex] since the curve spans from x = 2 to x = 7, excluding both of those x values. The range is [tex]1 < y < 6[/tex] for similar reasoning.

Notice how both problems 15 and 16 are functions because they pass the vertical line test. It is not possible to draw a single vertical line through more than one point on either blue curve.

Answer: 5 is the answer

Use the distance formula to determine the distance between two points.

Answer:

[tex]\displaystyle d = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (1, -6)

Point (5, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Since the value of y varies directly with x, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]

Given the following data:

To find the value of x when y = 9:

This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.

First of all, we would determine the constant of proportionality (k) for the mathematical expression.

[tex]y = kx\\\\15 = 195k\\\\k = \frac{195}{15}[/tex]

k = 13

Now, we can find x:

[tex]y = kx\\\\9 = 13x\\\\x = \frac{9}{13}[/tex]

Therefore, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]

Read more: https://brainly.com/question/24828148?referrer=searchResults

Answer:

This equation is equivalent to the formula for finding the perimeter of a rectangle

Answer:

1

Step-by-step explanation:

40 x 11 = 440

440 x 4 = 1760

Answer:

181 pounds

Step-by-step explanation:

You have already got the equation and solution which is great! The next step is simply a matter of replacing "x" with "7", because you know x=7.

After doing this, you will be left with the equation 160+3*7=195-2*7. We will look at the first part of the equation first. Using the rules of BIDMAS, you can calculate 3*7=21 and then 160+21=181. 181 is your final answer.

You can check that this is right by calculating the second part of the equation, and once done you should be left with 181. Again, using BIDMAS, you need to do 2*7=14 then 195-14=181. Now we know that everything is correct.

Answer:

It contains no marks. As the name says, it is a "straight edge." A ruler can be used as a straightedge by simply ignoring the measuring marks on it. Ruler.A ruler is a geometric tool used to measure the length of a line segment.

Step-by-step explanation:

9514 1404 393

Answer:

  x = 33

Step-by-step explanation:

The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:

  11×9 = 3x

  x = 99/3 = 33

The equation of the parabola is:

[tex]y = 24x^2[/tex]

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

The equation of a parabola of vertex (h,k) and focus (0,f) is given by:

[tex]y = 4p(x - h)^2 + k^2[/tex]

Thus, the equation of the parabola is:

[tex]y = 4p(x - h)^2 + k^2[/tex]

[tex]y = 4(6)(x - 0)^2 + 0^2[/tex]

[tex]y = 24x^2[/tex]

A similar problem is given at https://brainly.com/question/15165354