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Sav [38]
3 years ago
5

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles

every 2 hours. What is
the equation of a line that models the total miles traveled, y, in x hours after this point?
A
y = 100x + 3.5
ОВ.
y = 100x - 3.5
Ос.
y = 50x + 3.5
OD
y=-50x + 3.5
Mathematics
1 answer:
natka813 [3]3 years ago
3 0

Answer:

y = 50x + 3.5

Step-by-step explanation:

Given:

Distance already covered = 3.5 miles

100 miles covered in 2 hour

FInd;

Equation of given scenario

Computation:

Assume;

Total miles covered = y

Total number of hours = x

Speed of car = 100 / 2

Speed of car = 50 miles per hour

Total miles covered = Distance already covered + [Speed of car][Total number of hours]

y = 3.5 + [50][x]

y = 50x + 3.5

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What is the constant term of -3x^4-7x+2
emmasim [6.3K]

Answer:

The equation written in the standard form is written as

ax^4 + bx+c

where a and b are the coefficients of the second-order and first-order term, while c is the constant term.

The equation we have in this problem is

By comparing (1) with (2), we immediately see that

A = -3x^4

B = 7x

C = 2

Step-by-step explanation:

Hope this helps :)

3 0
3 years ago
g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
murzikaleks [220]

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

6 0
3 years ago
Work out the mean.<br> 1, 3, 3. 4. 6, 9, 9
I am Lyosha [343]
1+3+3+4+6+9+9 is 35
7 numbers so divide by 7
35/7 = 5
Mean is 5
8 0
3 years ago
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A portion of a map with cities a and b is shown.The map uses a scale of 1 inch to 30 miles. A new map has a scale of 2 inches=15
Alina [70]

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

2 inches = 15miles

1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

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2 years ago
Why is "You are a ray of sunshine" a metaphor? Start your answer with 'You are a ray of sunshine" is a metaphor because a simile
PSYCHO15rus [73]

Answer:

You are a ray of sunshine is a metaphor because a simile has to have like or as in it.

Step-by-step explanation:

7 0
3 years ago
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