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Luba_88 [7]
2 years ago
7

Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent th

is situation, where x represents Oscar’s age.
Mathematics
2 answers:
densk [106]2 years ago
7 0

Answer:

let Oscar's years be x

• Oscar → x

• Lois → (x + 3)

{ \rm{x + (x + 3) \leqslant 20}} \\  \\ { \boxed{ \rm{2x + 3 \leqslant 20}} }

scoundrel [369]2 years ago
5 0
  • Let Oscar be x years old
  • Lois is x+3 years old

ATQ

\\ \sf\longmapsto x+x+3\leqslant 20

\\ \sf\longmapsto 2x+3\leqslant 20

\\ \sf\longmapsto 2x\leqslant=17

\\ \sf\longmapsto x\leqslant \dfrac{17}{2}

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Lorico [155]
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3 years ago
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Jimmy goes for a run with his friends on the weekend. They run 11km in 5 hours. How long
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7 0
2 years ago
1.What are the zeros of the polynomial function?
Lorico [155]
Let's to the first example:

f(x) = x^2 + 9x + 20

Ussing the formula of basckara

a = 1
b = 9
c = 20

Delta = b^2 - 4ac

Delta = 9^2 - 4.(1).(20)

Delta = 81 - 80

Delta = 1

x = [ -b +/- √(Delta) ]/2a

Replacing the data:

x = [ -9 +/- √1 ]/2

x' = (-9 -1)/2 <=> - 5

Or

x" = (-9+1)/2 <=> - 4
_______________

Already the second example:

f(x) = x^2 -4x -60

Ussing the formula of basckara again

a = 1
b = -4
c = -60

Delta = b^2 -4ac

Delta = (-4)^2 -4.(1).(-60)

Delta = 16 + 240

Delta = 256

Then, following:

x = [ -b +/- √(Delta)]/2a

Replacing the information

x = [ -(-4) +/- √256 ]/2

x = [ 4 +/- 16]/2

x' = (4-16)/2 <=> -6

Or

x" = (4+16)/2 <=> 10
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Now we are going to the 3 example

x^2 + 24 = 14x

Isolating 14x , but changing the sinal positive to negative

x^2 - 14x + 24 = 0

Now we can to apply the formula of basckara

a = 1
b = -14
c = 24

Delta = b^2 -4ac

Delta = (-14)^2 -4.(1).(24)

Delta = 196 - 96

Delta = 100

Then we stayed with:

x = [ -b +/- √Delta ]/2a

x = [ -(-14) +/- √100 ]/2

We wiil have two possibilities

x' = ( 14 -10)/2 <=> 2

Or

x" = (14 +10)/2 <=> 12
________________


To the last example will be the same thing.

f(x) = x^2 - x -72

a = 1
b = -1
c = -72

Delta = b^2 -4ac

Delta = (-1)^2 -4(1).(-72)

Delta = 1 + 288

Delta = 289

Then we are going to stay:

x = [ -b +/- √Delta]/2a

x = [ -(-1) +/- √289]/2

x = ( 1 +/- 17)/2

We will have two roots

That's :

x = (1 - 17)/2 <=> -8

Or

x = (1+17)/2 <=> 9


Well, this would be your answers.


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Which statement best describes Marcos equation
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Calculate the percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt h
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The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

<h3>What is percentage change?</h3>

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

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Hence, percentage change be 45.122% decrease.

Learn more about percentage change here:

brainly.com/question/14656289

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