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Lera25 [3.4K]
3 years ago
8

Blain is two years older than three times Jillians age. Jillian is also 16 years younger than Blain. How old is Blain?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

The age of Blain is 23 years old

<h3><u>Solution:</u></h3>

Let the age of Blain be "a" and age of Jillian be "b"

Given that Blain is two years older than three times Jillians age

So we can frame a equation as:

age of blain = 2 + 3(age of Jillian)

a = 2 + 3b ----- eqn 1

Also given that Jillian is also 16 years younger than Blain

Age of Jillain = Age of Blain - 16

b = a - 16 ---- eqn 2

Substitute eqn 2 in eqn 1

a = 2 + 3(a - 16)

a = 2 + 3a - 48

a - 3a = -46

-2a = -46

a = 23

Thus the age of Blain is 23 years old

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Let f (x, y) = x3 + y3 x2 + y2 . (a) Show that |x3|≤|x|(x2 + y2), |y3|≤|y|(x2 + y2) (b) Show that |f (x, y)|≤|x|+|y|. (c) Use th
GarryVolchara [31]

Answer and Step-by-step explanation:

a.)x^2 and y^2 are always greater than zero.(assuming real x and y).

=>x^2<=x^2+y^2

=>|x|(x^2)<=|x|(x^2+y^2)

=>|x^3|<=|x|(x^2+y^2)

b. similarly, |y^3|<=|y|(x^2+y^2)

=>|f(x,y)|=|x^3+y^3|/(x^2+y^2)=|x|+|y|

c. let h is very small number (close to zero but positive)

lim (x,y)-> (0,0) f(x,y)=(x^3+y^3)/(x^2+y^2)

putting x=h and y=h and approaching h->0

lim h->0 f(h)=2h=0

There is another explanation attached below

4 0
3 years ago
Find x and y please
Alexandra [31]

Answer:

Answer:

  • x → 4.24
  • y → 4.24

Step-by-step explanation:

» x and y can only be got through using trigonometric ratios:

✍ <u> </u><u>For</u><u> </u><u>x</u><u> </u>:

{ \tt{ \sin( \theta)  =  \frac{opposite}{hypotenuse} }} \\  \\ { \tt{ \sin(45 \degree)  =  \frac{x}{6} }} \\  \\ { \tt{x = 6 \times  \sin(45 \degree) }} \\ { \tt{x = 4.24}}

✍ <u> </u><u>F</u><u>o</u><u>r</u><u> </u><u>y</u><u> </u>:

{ \tt{ \cos( \theta)  =  \frac{adjacent}{hypotenuse} }} \\  \\ { \tt{ \cos( 45  \degree)  =  \frac{y}{6} }} \\  \\ { \tt{y = 6 \times  \cos(45 \degree) }} \\ { \tt{y = 4.24}}

6 0
2 years ago
Read 2 more answers
How do you solve 24=x•30
ollegr [7]
I Tired To Explain It As Best As I Could.

Isolate the variable by dividing each side by factors that don’t contain the variable.

24 = x • 30

Use The Commutative Property To Reorder The Terms

24 = 30x

Swap The Sides Of The Equations

30x = 24

Divide Both Sides Of The Equations By 30

30x ÷ 30 = 24 ÷ 30

Any Expression Divided By Itself Equals 1

x= 24 ÷ 30 or x =24/30

Reduce The Fraction With 6

x = 4/5

Exact Form:

x = 4/5


Decimal Form:

x = 0.8
5 0
3 years ago
What is the missing numerator?
den301095 [7]

Answer:

It is 2/7 please mark me brainliest

Step-by-step explanation:

7 0
2 years ago
Please help I would appreciate it
zimovet [89]
I believ it’s 6. I’m not sure
5 0
3 years ago
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