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PtichkaEL [24]
3 years ago
15

Justin drove at a steady speed of 60 miles/hour. Write an equation to represent the relationship between the total distance Just

in drove, 'd', in a certain amount of time, 't'. Which value is the dependent variable? Which is the dependent variable? Which is the independent variable? Explain.
Mathematics
2 answers:
Basile [38]3 years ago
6 0

Answer:

60d+t=

Step-by-step explanation:

what the answer

Valentin [98]3 years ago
5 0
60t=d

The dependent variable is t because it has a coefficient (number next to it)
The independent variable is d because it does not have a coefficient and it is the product/answer.

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Write 314,207 in expanded form
Otrada [13]
314,207                                                                                        300,000+10,000+4,000+200+7 
i hope it work

3 0
3 years ago
Read 2 more answers
What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4?
ale4655 [162]

Answer:

Either:  1 neg, 3 pos, 0 imaginary; 1 neg, 1 pos, 2 imaginary

Step-by-step explanation:

Look for the positive possibilities first.  Count the numbe of sign changes then subtract 2, if possible, as many times as you can.

There are 3 sign changes.  So the possible positive roots are either 3 or 1.

Now look for the negative possibilities.  Replace each x with a -x and then count the sign changes.  Replacing with -x's gives you this polynomial:

f(-x)=-3x^4-5x^3-x^2-8x+4

There is only one sign change here, so the possible negative roots is 1.  Start with the negative roots to find the possible combinations of positive, negative, and imaginary, since there is only 1.

-     1       1

+    3       1

i     0       2

Since this is a 4th degree, the number of roots we have has to add up to equal 4.

8 0
3 years ago
Find the difference.<br> (3ab+9a-2) - (-5ab+4)
JulsSmile [24]

Answer:

3ab+9a-2+5ab-4

8ab+9a-6

8 0
3 years ago
PLZ DO EXACTLY AS STATED, WILL GIVE BRAILIEST AND 30 POINTS!!
dsp73

Answer:

bro just did this on a TGA

Step-by-step explanation:

A. no solutions and a contradiction

B. infinate solutions and an identity

C. one solution and niether

3 0
3 years ago
Use the method of lagrange multipliers to find
Yanka [14]

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

6 0
3 years ago
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