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2 years ago

The outdoor temperature is 4 degrees below 0, or

Mathematics

1 answer:

sleet_krkn [62]2 years ago

3 0

Hi Chloe!

Answer:

The outdoor temperature is -4 degrees.

The indoor temperature is 72 degrees.

Explanation:

We use negative integer to represent loss, below , or withdrawal etc. On the other hand we use positive integers to show gain , above , deposit etc.

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Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

3 0

3 years ago

Consider the following system of equations:

monitta

Answer:

Step-by-step explanation:

8 0

2 years ago

Math homework help exponents

Len [333]

Answer + Step-by-step explanation:

$\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5$

$\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}$

_______________________

$(4^8)^3 = a^{8 \times 3}=a^{24}$

$\text{used property :} \ \ \ (a^n)^m = a^{n \times m}$

_______________________

$10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}$

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0 ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0 ⇒ (6⁸)⁰ = 1

6 0

1 year ago

Easiest question in the world no joke this time

Volgvan

Question #25:

One way to solve this is by multiplying the number of packages per serving by the number of guests.

1/4 * 16 = 4 packages to serve 16 guests. This means he doesn't have enough.

A second way to solve this is by diving the number of packages by the number of packages it takes to make on serving.

3 1/2 ÷ 1/4 = 14 guests he can serve. This means he doesn't have enough.

Question #26:

First, find common denominators.

2/3 = 8/12

1/4 = 3/12

Second, subtract.

8/12 - 3/12 = 5/12

Therefore, the tank is 5/12 full at the end of the trip.

Question #27:

1/2 is cut off then 1/3 is cut off. This means 3/6 was cut off to bundle newspapers, then 1/6 was cut off to make parcel. In all, 4/6 was cut off the original string. Afterwards, 2/6 was left over. So, just multiply; 2 * 3 = 6.

Therefore, the original string was as a total of 6 meters.

Best of Luck!

3 0

3 years ago

Which of the following points is a solution of y ≤ -|x| - 1? (-1, -3) (0, 0) (1, -1)

alexdok [17]

Y + 1 $\leq$ -|x|
-y - 1 $\geq$ |x|
-(-y - 1) $\leq$ x $\leq$ -y - 1
(0, 0)

Answer: B).

3 0

3 years ago

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