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3 years ago

Can someone help me answer these two questions please.

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

Answer:

The first one is a the second one is b

Step-by-step explanation:

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Find the roots of the equation <br> x^2 +7= 2x<br> express your answer in simplest a +bi form

Fittoniya [83]

$x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\$

$\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6$

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3 years ago

Sarah wants to harvest the wheat in a 20 acre field in two days. If on the first day Sarah harvests 8 acres, what percent of the

bazaltina [42]

12 percent I hope this helped a lot

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4 years ago

11. Write the following number in word form: 0.43

malfutka [58]

Answer: zero and forty three hundreths

Step-by-step explanation:

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3 years ago

Read 2 more answers

One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o

e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

$\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}$

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

$\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}$

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

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2 years ago

Veronique found the difference of a number and 8. Which expression models the situation? n minus 8 StartFraction 8 Over n EndFra

Katyanochek1 [597]

Answer:

n-8

Step-by-step explanation:

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3 years ago