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3 years ago

Which system of inequalities is represented by the graph?

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

Answer:

B, D

Step-by-step explanation:

1. The shaded area is below the solid line at y=1, so the solution set is partially determined by the inequality ...

y ≤ 1 . . . . . . values of y in the solution set are less than or equal to 1

The shaded area is below the line y=x, so is partially determined by ...

y -x < 0

These inequalities match the second choice.

2. The solid boundary line has a slope, rise/run, of 1/3. The shaded area is below it. So the applicable inequality is ...

y ≤ 1/3x +6 . . . . . . matches the fourth choice

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koban [17]

The reason fractions need a common denominator before adding or subtracting is so that the numbers of pieces you are adding/subtracting are all the same size. Note that the numerator of a fraction just tells you how many pieces you have of that size.

5 0

3 years ago

Simplify completely'''

r-ruslan [8.4K]

Answer:

$\displaystyle \frac{x + 2}{x - 1}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}$

Step 2: Simplify

[Fraction] Factor numerator: $\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}$
[Fraction] Factor denominator: $\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}$
[Fraction] Divide: $\displaystyle \frac{x + 2}{x - 1}$

6 0

3 years ago

What is the slope of the line shown?

MAXImum [283]

The answer is C 7/10

7 0

3 years ago

Help !? Pls, don’t understand math that much

Arlecino [84]

Day 1: $2.70 is added to the value of the share.
$43.85 + $2.70 = $46.55

Day 2: $2.70 is added to the value of the share.
$46.55 + $2.70 = $49.25

Day 3: $1.10 is subtracted from the value of the share.
$49.25 - $1.10 = $48.15

Day 4: $1.10 is subtracted from the value of the share.
$48.15 - $1.10 = $47.05

Day 5: $4.45 is subtracted from the value of the share.
$47.05 - $4.45 = $42.60

After 5 days, the value is $42.60, which is choice B.
Hope this helps!

5 0

3 years ago

Given f(x) = x − 7 and g(x) = x2 . Find g(f(4)).

Alja [10]

Answer:

-6

Step-by-step explanation:

g(f(x))= 2(x-7)

g(f(x))= 2x-14

plug in 4 for x

g(f(4))= 2×4-14

g(f(4))= 8-14

g(f(4))= -6

8 0

3 years ago