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Ray Of Light [21]
3 years ago
6

Scarborough High School ordered several replacement books for the mathematics department. When the box of books arrived at the h

igh school, it contained Algebra I, Geometry, and Algebra II textbooks. A label on the box reads: “Contents: 23 books, Weight: 93 lbs.” An Algebra I book weighs 4 pounds, a Geometry book weighs 3 pounds, and an Algebra II book weighs 5 pounds. The number of Geometry books and Algebra II books combined is one less than the number of Algebra I books.
Formulate a system of equations to represent the problem situation.
Solve the system of equations to determine the number of Algebra I textbooks, the number of Geometry textbooks, and the number of Algebra II textbooks that are in the box.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

Let us represent the number of books as:

Algebra 1 = A1

Algebra 2 = A2

Geometry = G

A1 + A2 + G = 23........Equation 1

An Algebra I book weighs 4 pounds, a Geometry book weighs 3 pounds, and an Algebra II book weighs 5 pounds.

4A1 + 5A2 + 3G = 93

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Answer:

Solution. The domain of g(x) consists of all real numbers except x = 32, since that input value would cause us to divide by 0. Likewise, the domain of f consists of all real numbers except 1. So we need to exclude from the domain of g(x) that value of x for which g(x) = 1.

Step-by-step explanation:

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2 years ago
If f(x) = x ² +1 and g(x) =3x+ 1,find [f(4)] ²
guajiro [1.7K]

Answer:

289

Step-by-step explanation:

We don't need g at all for this.

We will need to know f(4) before continuing...

f(4) can be found by replacing x in f(x)=x^2+1 with 4:

f(4)=4^2+1

f(4)=16+1

f(4)=17

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

Now let's find [f(4)]^2:

[f(4)]^2

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3 0
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Read 2 more answers
Can someone help me with these questions I want to make sure I got them right ​
Andrej [43]

9514 1404 393

Answer:

  1. 14/9
  2. -3.6
  3. 5/4
  4. 11/2, 7/8, 5/18

Step-by-step explanation:

1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9

__

2. x = (9.82 -28.18)/5.1 = -3.6

__

3. y = 3/2 -1/4 = 5/4

__

4a. t = 2(3 -1/4) = 11/2

4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8

4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18

3 0
2 years ago
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