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3 years ago

Write an equation of the line that passes through the given point and has the given slope.

Mathematics

1 answer:

ycow [4]3 years ago

5 0

Answer:

y = 1/2x + 1

Step-by-step explanation:

m = 1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 4)

y - 3 = 1/2x - 2

y = 1/2x + 1

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If C = x2 + 8x + 3 and B = x – 8, find an expression that equals 3C + B in<br> standard form.

oksano4ka [1.4K]

Answer: 3x^2 + 25x + 1

Step-by-step explanation:

3C + B

=> 3(x^2 + 8x + 3) + (x - 8)

=> 3x^2 + 24x + 9 + x - 8

=> 3x^2 + 25x + 1

8 0

3 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

Murrr4er [49]

Answer:

$A = 781250\,m^{2}$ , $x = 625\,m$ , $y = 1250\,m$

Step-by-step explanation:

The perimeter covered by the electric fence in meters is:

$2\cdot x + y = 2500$

The area of the rectangle is:

$A = x\cdot y$

$A = x \cdot (2500-2\cdot x)$

Let differentiate the previous equation and equates to zero:

$2500-4\cdot x = 0$

The critical point is:

$x = 625\,m$

By the Second Derivative Text, it is proved that critical point lead to a maximum:

$\frac{d^{2}A}{dx^{2}} = -4$

The other side of the rectangle is:

$y = 1250\,m$

The largest area than can be enclosed is:

$A = (625\,m)\cdot (1250\,m)$

$A = 781250\,m^{2}$

The dimensions of the triangle are:

$x = 625\,m$

$y = 1250\,m$

3 0

3 years ago

X-4 greater than or equal to 12 and x/12 <2 graph the solution on a number line

Marianna [84]

Answer:

Step-by-step explanation:

x-4>=12 ====> x>=12+4 ======> x>=16

x/12<2 ====> x<12(2) ====> x<24

4 0

2 years ago

Which solution set is graphed on the number line?-4-3-2_10123+4x 51ООX51

Rudik [331]

Explanation:

In this number line the solution set that's graphed is all numbers less than 1. It doesn't include 1 because that point is graphed with an empty circle.

Answer:

x < 1

5 0

1 year ago

Diego says the expression 14−0.6t helps him understand this situation. In this situation, what does this expression represent, a

Sonja [21]

Answer:

14-0.6t (x)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers