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3 years ago

For what values of x is the trinomial 2x^2-x+55 equal to the square of binomial x+5

Mathematics

2 answers:

jeka943 years ago

7 0

Answer:

x = 6 , 5. For these values of x they are equal.

Step-by-step explanation:

2x² - x + 55 =(x +5)²

2x² - x + 55 = x² + 2*x*5 + 5²

2x² - x + 55 = x² + 10x + 25

2x² - x + 55 - x² - 10x - 25 = 0

2x² - x² - x - 10x + 55 - 25 = 0

x² - 11x + 30 = 0

x² -6x - 5x + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x - 6 = 0 ; x - 5 = 0

x = 6 ; x = 5

enyata [817]3 years ago

4 0

Answer:

Step-by-step explanation:

$\displaystyle 2x^2-x+55=(x+5)^2 \\\\ 2x^2-x+55=x^2+10x+25 \\\\ 2x^2-x^2-x-10x+55-25=0 \\\\x^2-11x+30=0 \\\\ \left \{ {{x_1+x_2=11} \atop {x_1x_2=30 }} \right. => x_1=6 \ \ ; \ \ x_2=5$

$\huge \boldsymbol{ \mathfrak {Answe}r :} x_1=6 \ \ ; \ \ x_2=5 }$

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Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the la

iren [92.7K]

Answer:

The larger angle is 143

Step-by-step explanation:

x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)

4x - 5 = y

x + (4x - 5) = 180 Remove the brackets.

x + 4x - 5 = 180

5x - 5 = 180 Add 5 to both sides

5x - 5 +5 = 180 + 5 Combine

5x = 185 Divide by 5

5x/5=185/5

x = 37

y = 4*37 - 5

y = 148 - 5

y = 143

4 0

3 years ago

There are approximately 113 million TVs in the United States. Each uses, on average, 76 W of power and is turned on for 6.3 hour

ioda

Answer:

$76 W *\frac{1kW}{1000 W}= 0.076 kW$

$0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}$

$113x10^6 people * \frac{0.4788 kWh}{people}= 54104400 kWh$

And finally we can convert this into money like this:

$54104400 kWh *\frac{0.089 dollars}{1 kWh}= 4815291.6$

So they spent every day approximately in total $ 4815291.6 dollars

Step-by-step explanation:

For this case we can convert the average power into Kw like this:

$76 W *\frac{1kW}{1000 W}= 0.076 kW$

Now on average we know that one person use on average this power over 6.3 hours per day so then we have the following consumption rate:

$0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}$

And now we know the total population so then the total consumption per day would be:

$113x10^6 people * \frac{0.4788 kWh}{people}= 54104400 kWh$

And finally we can convert this into money like this:

$54104400 kWh *\frac{0.089 dollars}{1 kWh}= 4815291.6$

So they spent every day approximately in total $ 4815291.6 dollars

6 0

3 years ago

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The pie chart shows the information about the favourite ice creme flavour of each student in a schcool.There are 720 students at

Novay_Z [31]

Answer:

there would be many diffrent answers

Step-by-step explanation:

provide the full question, i can deduct that there are many ice cream flavors.

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3 years ago

Find three points that solve the equation x-3y = -7

serg [7]

$x-3y=-7\qquad|-x\\\\-3y=-x-7\qquad|:(-3)\\\\y=\dfrac{x+7}{3}$

<em>We choose any values of x and calculate the value of y</em>

$for\ x=-4\to y=\dfrac{-4+7}{3}=\dfrac{3}{3}=1\to(-4,\ 1)\\\\for\ x=-1\to y=\dfrac{-1+7}{3}=\dfrac{6}{3}=2\to(-1,\ 2)\\\\for\ x=2\to y=\dfrac{2+7}{3}=\dfrac{9}{3}=3\to(2,\ 3)$

<h3>Answer: (-4, 1), (-1, 2), (2, 3).</h3>

6 0

3 years ago

PLEASE HELP!!

Len [333]

C, 125. Hope I helped.
btw, u gotta do 35+30+25+20+15

7 0

3 years ago

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