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Juliette [100K]
2 years ago
8

ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how o

ld is ted's sister​
Mathematics
1 answer:
Alex17521 [72]2 years ago
4 0

Answer:

teds sister is 60 years old, ted is 120 some how, and joe is 123.

Step-by-step explanation:

half of a century is 50 because a century is 100 years and plus 10 years equals 60 and 60 times 60 equals 120 and 120 plus 3 years equals 123 so that's how I got the answers. At first this answer looks complicated you just have to read the question carefully.

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Find the maximum rate of change of f(x,y) = x2y +2y
nevsk [136]

Answer:

Maximum rate of change at the point (-1,2) = √17

Direction is the direction of the gradient

Step-by-step explanation:

The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then

f( x,y ) =  x*2y  + 2y

grad    =  δ/δx i +  δ/δy j + δ/δz k

grad f(x,y)  = [ δ/δx i , δ/δy]  =  [ 2y , x+2 ]

at the point  ( -1 , 2 )

grad f(x,y)  = [4 , 1]

| grad f(x,y) |  =  √ (4)²  + (1)²   =  √17

4 0
3 years ago
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts
Irina18 [472]

we are given

y=3x^2+7x+m

To find x-intercept means we have to find zeros

and for finding zeros , we will use quadratic formula

and we have it has two x-intercepts

so, it's discriminant must be greater than 0

so, we will find discriminant

D=\sqrt{b^2-4ac}

now, we can compare with

y=ax^2+bx+c

y=3x^2+7x+m

and then we can find a , b and c

a=3,b=7,c=m

now, we can find D

D=\sqrt{7^2-4*3*m}

D=\sqrt{49-12m}

It has two x-intercepts

so,

D=\sqrt{49-12m}>0

now, we can solve for m

49-12m>0

12m

m............Answer

8 0
3 years ago
Read 2 more answers
A triangle with area 45 square inches has a height that is two less than four times the width. Find the width and height of the
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

45 = (b(4b - 2))/2

90 = 4b2 - 2b

4b2 - 2b - 90 = 0

(2b + 9)(2b - 10) = 0

 

2b + 9 = 0  

2b = -9

b = -9/2

If we were looking for zeroes, this would be an answer, but since we're looking for measurement, we don't use negative numbers.

90 = 4b2 - 2b

4b2 - 2b - 90 = 0

(2b + 9)(2b - 10) = 0

 

2b + 9 = 0  

2b = -9

b = -9/2

7 0
3 years ago
Read 2 more answers
What is the value of f(x)=2•2^x for f(-2)
Zigmanuir [339]

Answer:

The value of f(-2) is 1/2 or it can be written as 0.5.

Step-by-step explanation:

The given function is

f(x)=2\cdot 2^x

We have to find the value of f(-2).

Substitute x=-2 in the given function to find the value of f(-2).

f(-2)=2\cdot 2^(-2)

f(-2)=2\cdot \frac{1}{2^(2)}

f(-2)=\frac{1}{2}

f(-2)=0.5

Therefore the value of f(-2) is 1/2 or it can be written as 0.5.

3 0
3 years ago
Show Work<br><br> Find the slope (5,-3), (-7,0)
Alex777 [14]
You'd use the equation y2-y1/x2-x1

0-(-3)/-7-5 = 3/-12 = -1/4

So -1/4 would be the slope
m= -1/4
4 0
3 years ago
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