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WITCHER [35]
2 years ago
11

Which system of linear inequalities is graphed?

Mathematics
2 answers:
mixer [17]2 years ago
7 0
The third one....,..............................
mojhsa [17]2 years ago
7 0

We will proceed to graph each case to determine the solution of the problem.

using a graphing tool

<u>case A</u>

x\leq -2

y\leq-x-3

see the attached figure N 1        

The system A is not the graphed one

<u>case B.</u>

x < -3

y < -x-2  

see the attached figure N 2        

The system B is not the graphed one      

<u>case C.</u>

x < -2

y\leq-x+2    

see the attached figure N 3                  

The system C is not the graphed one            

<u>case D.</u>

x < -2

y\leq-x-2    

see the attached figure N 4                  

The system D is the graphed one            

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Y = 7/8u + 9, solve for u
vivado [14]

Answer:

u=\frac{8y-72}{7}

Step-by-step explanation:

Flip the equation.

\frac{7}{8}u+9=y

Add -9 to both sides

\frac{7}{8}u+9(-9)=y(-9)

\frac{7}{8}u=y-9

Divide both sides by 7/8

u=\frac{8y-72}{7}

hope this helps

3 0
3 years ago
I need help with this
N76 [4]

Answer:

The x-intercepts are x = 1 , x = 2 , x = 3

The y-intercept is -6

Step-by-step explanation:

* Lets explain how to solve the problem

- To find the x-intercept of a function substitute f(x) by 0

- To find the y-intercept of a function substitute x by 0

- To find the factors of quadratic function use the long division

* Lets solve the problem

∵ f(x) = x³ - 6x² + 11x - 6

∵ (x - 3) is one of its factors

- Use the long division to find the other factors

∵ x³ - 6x² + 11x - 6 ⇒ dividend

∵ x - 3 ⇒ divisor

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ x³ ÷ x = x²

# Multiply x² by the divisor (x - 3)

∵ x²(x - 3) = x³ - 3x²

# subtract it from the dividend

∵ (x³ - 6x² + 11x - 6) - (x³ - 3x²) = (x³ - x³) + (-6x² + 3x²) +11x - 6

∴ The dividend is -3x² + 11x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ -3x² ÷ x = -3x

# Multiply -3x by the divisor (x - 3)

∴ -3x(x - 3) = -3x² + 9x

# subtract it from the dividend

∵ (-3x² + 11x - 6) - (-3x² + 9x) = (-3x² - 3x²) + (11x - 9x) - 6

∴ The dividend is 2x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ 2x ÷ x = 2

# Multiply 2 by the divisor (x - 3)

∴ 2(x - 3) = 2x - 6

# subtract it from the dividend

∴ (2x - 6) - (2x - 6) = (2x - 2x) + (-6 + 6) = 0

∴ (x³ - 6x² + 11x - 6) ÷ (x - 3) = x² - 3x + 2

∴ The factors of f(x) are (x - 3)( x² - 3x + 2)

- The factor (x² - 3x + 2) can factorize into two bracket

∵ The last term is positive and the middle term is negative than the

   two brackets have the middle sign (-)

∵ x × x = x² ⇒ 1st terms in the two brackets

∵ 2 × 1 = 2 ⇒ 2nd terms in the two brackets

∵ 2 × x = 2x

∵ 1 × x = x

∵ 2x + x = 3x

∴  (x² - 3x + 2) = (x - 2)(x - 1)

∴ f(x) = (x - 3)(x - 2)(x - 1)

- To find the x-intercept put f(x) = 0

∴ (x - 3)(x - 2)(x - 1) = 0

- That means each bracket = 0

∵ x - 3 = 0 ⇒ add 3 for both sides

∴ x = 3

∵ x - 2 = 0 ⇒ add 2 for both sides

∴ x = 2

∵ x - 1 = 0 ⇒ add 1 for both sides

∴ x = 1

∴ The x-intercepts are x = 1 , x = 2 , x = 3

- To find the y-intercept put x = 0

∵ f(x) = x³ - 6x² + 11x - 6

∵ x = 0

∴ f(0) = 0 - 0 + 0 - 6 = -6

∴ The y-intercept is -6

4 0
2 years ago
there are 8 students on the minibus. five of the students are boys. what fraction of the students are boy
meriva
Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is =  5/8
this fraction means and shows that there are 5 students are boys from 8 students.
3 0
3 years ago
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uranmaximum [27]
The answer would be 11
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3 years ago
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likoan [24]

Answer:

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Step-by-step explanation:

Just move the decimal place two places to the left when converting something to hectograms, for example 1045 grams is 10.45 hectograms just move the decimal place twice to the left for this conversion.

5 0
2 years ago
Read 2 more answers
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