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Bezzdna [24]
2 years ago
7

Hey everybody! Not a super hard question here! Anybody think they can help me out?

Mathematics
1 answer:
kkurt [141]2 years ago
7 0

Answer

B, the second choice

Step-by-step explanation:

the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.

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(x+1)(2x-4)(1/x+1) = (x+1)(2x-4)(1-5/2x-4)
Sunny_sXe [5.5K]

Solution:

(x+1)(2x-4)(\frac{1}{x}+1)=(x+1)(2x-4)(1-\frac{5}{2x}-4)\\(x+1)(2x-4)(\frac{1}{x}+1)-(x+1)(2x-4)(1-\frac{5}{2x}-4) = 0\\(x+1)(2x-4)(\frac{1}{x}+1-(1-\frac{5}{2x}-4))=0\\(x+1)(2x-4)(\frac{1}{x}+1-(-3\frac{5}{2x}))=0\\(x+1)(2x-4)(\frac{1}{x}+1+3+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{1}{x}+4+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{5x^{2}+8x+2}{2x} )=0\\

x+1=0\\x=-1\\\\2x-4=0\\x=2\\\\\frac{5x^{2}+8x+2}{2x}=0\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}

Answer:

x=-1\\x=2\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}

<em>Hope this was helpful.</em>

8 0
3 years ago
Assume that you live in a simple economy in which only three goods are produced and traded: Cashews, pecans and almonds. Suppose
oee [108]

Answer:

Step-by-step explanation:

The information given in the question can be represent in a table format for better understanding with the additional columns as follows:

Items          Weights Q₀         Prices P₀      Prices P₁        P₀Q₀        P₁Q₀

Cashew        1                        $12.50           $17.00        $12.50      $17.00

Pecans         1                         $4.00            $4.00         $4.00        $4.00

Almonds       1                         $5.50           $3.00          $5.50        $3.00

Total                                                                                 $22           $24

Can you say what happened to the overall "price level"?

The changes in overall price level can be a result of a condition termed as inflation rate

How might you construct a measure of the "change in price level"?

To construct a measure of the change in price level; we need to determine the consumer price index (CPI).

The consumer price index can be determined by using the relation:

=\mathbf{\dfrac{Sum \ of \ P_1Q_0}{Sum \ of  \ P_oQ_o}*100    }

= \mathbf{\dfrac{24}{22}*100    }

= 109.0%

consumer price index (CPI) is 109.0% ; This implies that there is a 9.9% inflation in the economy.

7 0
3 years ago
What is the value of t?
frutty [35]

Answer:

-39 2/3

Step-by-step explanation:

t - 122= 2t - 3

subtract 't' from each side to get:

-122 = 3t - 3

add 3 to each side to get:

-119 = 3t

divide each side by 3 to get:

t = -39 2/3

5 0
3 years ago
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9
aleksklad [387]

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

8 0
3 years ago
4x+11&lt;23 solve for x
jarptica [38.1K]
Let's solve your inequality step-by-step.
<span><span><span>4x</span>+11</span><23
</span>Step 1: Subtract 11 from both sides.
<span><span><span><span>4x</span>+11</span>−11</span><<span>23−11</span></span><span><span>4x</span><12
</span>Step 2: Divide both sides by 4.<span><span><span>4x</span>4</span><<span>124</span></span><span>x<3
</span><u>Answer:
</u><span>   x<<span>3</span></span>
8 0
4 years ago
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