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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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1, 2, 3, 5

Step-by-step explanation:

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4 years ago
The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
3 years ago
Simplify and expression for the perimeter of the the rectangle shown.
erma4kov [3.2K]

Answer:

Step-by-step explanation:

l = 8.6 x + 3

b = 5.2

perimeter =

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