(4x – 1) + (–6x + 3)

Mathematics

2 answers:

statuscvo [17]3 years ago

7 0

Answer-2x+2 hope I helped you sorry if I didn’t

jek_recluse [69]3 years ago

7 0

Answer:

-2 • (x - 1)

Step-by-step explanation:

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If c – 8 is an odd integer, which of the following could be the value of c?

bazaltina [42]

The value of c could be any odd integer because and odd integer subtracted by an even integer is an odd integer.

4 0

3 years ago

Solve the system by substitution. y = -4x 23 - 5y = 44

spin [16.1K]

<h3>Explanation</h3>

Given the system of equations.

$\begin{cases} y = - 4x \\ 23 - 5y = 44 \end{cases}$

Substitute y = -4x in the second equation.

$23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x = \frac{21}{20}$

Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

$y = - 4x \Longrightarrow y = - 4( \frac{21}{20} ) \\ y = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y = - \frac{21}{5} \\ y = - \frac{21}{5}$

Answer Check by substituting both values in two equations.

First Equation

$y = - 4x \Longrightarrow - \frac{21}{5} = - 4( \frac{21}{20} ) \\ - \frac{21}{5} = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\ - \frac{21}{5} = - \frac{21}{5} \: \: \: \checkmark$

Second Equation

$23 - 5y = 44 \\ 23 - 5( - \frac{21}{5} ) = 44 \\23 - \cancel{5}( - \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \: \: \: \: \checkmark$

Both equations are true for the value of x and value of y.

<h3>Answer</h3>

 $\begin{cases} x = \frac{21}{20} \\ y = - \frac{21}{5} \end{cases}$ 

Coordinate Point form

$( \frac{21}{20} , - \frac{21}{5} )$

5 0

3 years ago

The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about

Y_Kistochka [10]

Answer:

A: H0: p = 0.27; Ha: p > 0.27

Step-by-step explanation:

The parameter is the population proportion.

According to the survey conducted by the American Academy of Periodontology, the proportion of of US adults who admit they lie to their dentist about how often they floss their teeth is 27%.

This means the null hypothesis is :

$H_0: p=0.27$