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Lena [83]
2 years ago
14

4y + 4x = -28 and x = 2y - 4

Mathematics
2 answers:
Rzqust [24]2 years ago
6 0
4y+4(2y-4)=-28
4y+8y-16=-28
12y-16=-28
12y=-12
y=-1
Norma-Jean [14]2 years ago
4 0

Answer:

answer

Step-by-step explanation:

Simplifying

4y = 4x + -28

Reorder the terms:

4y = -28 + 4x

Solving

4y = -28 + 4x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '4'.

y = -7 + x

Simplifying

y = -7 + x

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Please help 8th grade math
wariber [46]

Answer:

n \geq  -\frac{-29}{28}

Step-by-step explanation:

-3(1 - 7n) \geq  -32 - 8n\\-3 + 21n \geq  -32 -8n\\

       +8n               +8n

-3 + 28n \geq  -32\\+3                      +3\\28n  \geq  -29\\/28              /28\\n \geq \frac{-29}{28}

6 0
4 years ago
If c is the curve given by \mathbf{r} \left( t \right = \left( 1 5 \sin t \right \mathbf{i} \left( 1 3 \sin^{2} t \right \mathbf
jonny [76]
With the curve C parameterized by

C:\mathbf r(t)=\underbrace{15\sin t}_{x(t)}\,\mathbf i+\underbrace{13\sin^2t}_{y(t)}\,\mathbf j+\underbrace{12\sin^3t}_{z(t)}\,\mathbf k

with 0\le t\le\dfrac\pi2, and given the vector field

\mathbf f(x,y,z)=x\,\mathbf i+y\,\mathbf j+z\,\mathbf k

the work done by \mathbf f on a particle moving on along C is given by the line integral

\displaystyle\int_C\mathbf f\cdot\mathrm d\mathbf r=\int\limits_{t=0}^{t=\pi/2}\mathbf f(x(t),y(t),z(t))\cdot\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\,\mathrm dt

where

\mathrm d\mathbf r=(15\cos t\,\mathbf i+26\sin t\cos t\,\mathbf j+36\sin^2t\cos t\,\mathbf k)\,\mathrm dt

The integral is then

\displaystyle\int_0^{\pi/2}(15\sin t\,\mathbf i+13\sin^2t\,\mathbf j+12\sin^3t\,\mathbf k)\cdot(15\cos t\,\mathbf i+13\sin2t\,\mathbf j+18\sin t\sin2t\,\mathbf k)\,\mathrm dt
=\displaystyle\int_0^{\pi/2}(432\sin^5t\cos t+338\sin^3t\cos t+225\sin t\cos t
=269
6 0
3 years ago
elect the correct answer. graph A graph B graph C graph D A credit card company uses these rules to calculate the minimum amount
laila [671]

The graph that correctly shows the minimum amount due for a credit amount (x)  is graph B.

<h3>How to determine the graph with the minimum amount due?</h3>

First of all, we would assign a variable to the different amount of money as follows:

  • Let x be the credit amount.
  • Let y be the minimum amount due.

Translating the word problem into an algebraic expression, we have;

For a bill of less than $100, the entire amount is due:

0 ≤ x < $100, therefore, y = x

For a bill of at least $100 but less than $500, the minimum due is $100: $100 ≤ x < $500, therefore, y = 100

For a bill of at least $500 but less than $1,000, the minimum due is $300:

$500 ≤ x < $1000, therefore, y = $300

For a bill of $1,000 or more, the minimum due is $500:

Since the credit limit is equal to $2000, we have $1000 ≤ x < $2000 and y = $500

In conclusion, the graph that correctly shows the minimum amount due for a credit amount (x)  is graph B.

Read more on graphs here: brainly.com/question/16883029

#SPJ1

5 0
2 years ago
Evaluate (2 - 3)4(4) - 9 ÷ 3. -7 -2 1 2
insens350 [35]

Answer:

your answer is -8

4 0
3 years ago
Read 2 more answers
Please help me and answer correctly!
LenKa [72]
A^-b = 1/a^b
a^b / a^c = a^b-c
a^c / b^c =(a/b)^c

3 0
3 years ago
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