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Mariana [72]
1 year ago
6

Given the equation = −3/5 + 2a. State the slope__________b. State the y intercept____________c. Is the line increasing or decrea

sing? ________________
Mathematics
1 answer:
Ann [662]1 year ago
8 0

Answer

a. -3/5

b. (0,2)

c. The line is decreasing.

Explanation

In this form, the number that accompanies the x correspond to the slope and the value of the independent number to the y-intercept.

The line is decreasing because the slope is negative.

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y = x2 - 6x - 8 Complete the square in the quadratic equation in order to write the equation in vertex form.
Airida [17]

Answer:

y = (x-3)^2 - 17

Step-by-step explanation:

To complete the square, take the middle term bx and divide it in two. Then take the square.

x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.

Now to finish completing the square add 9 and subtract 9 from one side.

y = x^2 - 6x - 8

y = (x^2 - 6x +9) -9 - 8

y = (x-3)^2 - 17

8 0
3 years ago
Daria earns $17.50 per customer when she gives haircuts if she gave X haircuts on Monday and Y haircuts on Tuesday which express
fomenos

Answer:

where are the expressions??

7 0
3 years ago
Is 16x^2-36x+25^2 a perfect Square trinomial
yulyashka [42]

Answer:

No, middle term should be 40x.

Step-by-step explanation:

16 {x}^{2}  - 2 \times 4x \times 5 +  {25}^{2}  \\   =  {(4x)}^{2}  - 40x +  {5}^{2}  \\  = (4x - 5)^{2}  \\

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.

6 0
3 years ago
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Rufina [12.5K]

Answer:

B

Step-by-step explanation:

We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:

x(t)+y(t)=k,\text{ where $k$ is some constant}

The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>

<em />\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]<em />

Remember that the derivative of a constant is always 0. Therefore:

\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0

And by subtracting dy/dt from both sides, we acquire:

\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}

Hence, our answer is B.

3 0
3 years ago
Read 2 more answers
15. Simplify an expression for the area of the<br>rectangle shown below.<br>8x - 2.<br>4.<br>​
lyudmila [28]

Answer:

Area of the rectangle  A   = 32 x - 8

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the length of the rectangle(l) = 8x-2

Given that the width of the rectangle (w) = 4

Area of the rectangle = length × width

                         A   = (8x - 2) × 4

                         A   = 32 x - 8

<u><em>Final answer</em></u>:-

Area of the rectangle  A   = 32 x - 8

3 0
3 years ago
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