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elena55 [62]
3 years ago
8

HELP NOW PLEASE

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

The other number is 5 less than 3 times the other so the other number will be

3x-5

We are given that they add up to 31, so we can write

x+(3x-5) = 31

4x - 5 =31 

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assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28
melomori [17]

Given:

x and y are both differentiable functions of t.

4x^2+3y^3=28

x=-1\text{ and }\dfrac{dy}{dt}=8

To find:

The value of \dfrac{dx}{dt}.

Solution:

We have,

4x^2+3y^3=28       ...(i)

At x=-1,

4(-1)^2+3y^3=28

4+3y^3=28

3y^3=28-4

3y^3=24

Divide both sides by 3.

y^3=8

Taking cube root on both sides.

y=2

So, y=2 at x=-1.

Differentiate (i) with respect to t.

4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0

Putting x=-1, y=2 and \dfrac{dy}{dt}=8, we get

4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0

-8\dfrac{dx}{dt}+9(4)(8)=0

-8(\dfrac{dx}{dt}-9(4))=0

Divide both sides by -8.

\dfrac{dx}{dt}-36=0

\dfrac{dx}{dt}=36

Therefore, the value of 4x^2+3y^3=28 is 36.

6 0
3 years ago
What is the Slope of the line containing points Q(-4,-1) and T(0, 9)?​
goldfiish [28.3K]

Answer:

kisses -A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP ALGEBRA 2 <br> Question is on the photo below
Sedbober [7]

Answer:

The value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

Step-by-step explanation:

Given

f(x) = 3x² + x - 3

g(x) = x² - 5x + 1

To determine

f(x) - g(x)

Using the formula

f(x) - g(x) =  3x² + x - 3 - ( x² - 5x + 1)

              = 3x² + x - 3 - x² + 5x - 1

              = 2x² + 6x - 4

Therefore, the value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

6 0
3 years ago
Can someone help me find the missing height?
KiRa [710]
<h2>Solution :</h2>

Area = 30 units²

Base = 5 units

Height = ? = Let it be -> x

Area (formula) = base×height = x×5 units= 30 units²

= x= 30/5 = 6 units

<h2>Thus , the height = 6 units</h2>
3 0
3 years ago
Can someone check my answers and help with the other two. Please.
Veronika [31]

1. The pair <CAD & <ACD or the pair <DFE & <FED

2. correct

3. correct

4. correct

5. <HGF & <FGD (there are more correct answers)

6. correct

7. correct

8. correct

9. correct

10. correct

Good job on the ones you answered!

4 0
4 years ago
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