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3 years ago

Which statement describe the relationships between expression and equation

Mathematics

1 answer:

ch4aika [34]3 years ago

8 0

Answer:

An equation has a equal sign, and it can be solved. A expression can only be simplified.

Step-by-step explanation:

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Write in the form p(x+q)²+r<br><br><br>2x²-5x+1

Eva8 [605]

$\text{Let}\ f(x)=ax^2+bx+c,\ \text{then}\ f(x)=a(x-p)^2+k,\ \text{where}\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\-----------------\\\\\text{We have}\ f(x)=2x^2-5x+1\to a=2,\ b=-5,\ c=1.\\\\\text{Substitute:}\\\\h=\dfrac{-(-5)}{2(2)}=\dfrac{5}{4}\\\\k=f\left(\dfrac{5}{4}\right)=2\left(\dfrac{5}{4}\right)^2-5\left(\dfrac{5}{4}\right)+1=2\left(\dfrac{25}{16}\right)-\dfrac{25}{4}+1\\\\=\dfrac{25}{8}-\dfrac{25\cdot2}{4\cdot2}+\dfrac{8}{8}=\dfrac{25-50+8}{8}=-\dfrac{17}{8}\\\\\text{Therefore we have}$

$f(x)=2\left(x-\dfrac{5}{4}\right)-\dfrac{17}{8}=\boxed{2\left(x+\left(-\dfrac{5}{4}\right)\right)^2+\left(-\dfrac{17}{8}\right)}$

$q=-\dfrac{5}{4},\ k=-\dfrac{17}{8}$

4 0

3 years ago

The marginal cost function of producing q mountain bikes is Upper C Superscript prime Baseline left-parenthesis q right-parenthe

damaskus [11]

MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit)
So we coordinate to get Cost work
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining.
We add that to settle cost 2059.23+2200=4259.24
So 4259.24 is the cost.
Income from offering the bicycle is 205*30=6150
and Profit=Revenue-Cost
6150 - 4259.24=1890.76
Presently Marginal Profit
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation.
Marginal Profit=Marginal Revenue-Marginal Cost
Marginal Cost=600/0.3q+5.
We should connect to 31 to get 41.958
Revenue= 205q

Marginal rev=205
Marginal Profit = 205-41.958=163.042

3 0

3 years ago

a bicycle store costs 3000$ per month to operate, the store pays an average of $60 per bike. the average selling price of each b

lara31 [8.8K]

Answer:

they must sell 75 bikes each month to pay the $3000 they would need to sell 76 bikes to get over $3000. so... 76 x 40= $3040

Step-by-step explanation:

$100 - $60 = $40

$3000/40 = 75

6 0

3 years ago

Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.

ale4655 [162]

Answer:

c = - 2

Step-by-step explanation:

Given inverse function

$f^{-1}$ (5) = - 1 , then

f(- 1) = 5 , that is

- 2c + c(- 1) - (- 1)² = 5

- 2c - c - 1 = 5

- 3c - 1 = 5 ( add 1 to both sides )

- 3c = 6 ( divide both sides by - 3 )

c = - 2

6 0

3 years ago

Write an equation in slope intercept form for the line that passes through (5, -8) and (11, 10)

Bess [88]

$\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-8})\qquad
(\stackrel{x_2}{11}~,~\stackrel{y_2}{10})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-(-8)}{11-5}\implies \cfrac{10+8}{11-5}\implies \cfrac{18}{16}\implies \cfrac{9}{8}$

$\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-(-8)=\cfrac{9}{8}(x-5)\implies y+8=\cfrac{9}{8}(x-5)
\\\\\\
y+8=\cfrac{9}{8}x-\cfrac{45}{8}\implies y=\cfrac{9}{8}x-\cfrac{45}{8}-8\implies y=\cfrac{9}{8}x-\cfrac{109}{8}$

7 0

4 years ago

Which statement describe the relationships between expression and equation​

Which statement describe the relationships between expression and equation