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3 years ago

Given the equation y = 1/2 2x - 8, what is the slope and the y-intercept?

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

The slope is 2x and the y intercept is -8

ki77a [65]3 years ago

6 0

Assuming that the 1/2 is to be distributed; slope would be x or 1 and the y intercept would be -4

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A customer purchased 3 pairs of jeans (j) for $94.50. If each pair of

tamaranim1 [39]

Answer:

$31.50

Step-by-step explanation:

3j = $94.50

j = 94.50 / 3

j = $31.50

7 0

3 years ago

What is the value of 9.05

Sergeeva-Olga [200]

Nine point zero tenths and five ones

6 0

2 years ago

Read 2 more answers

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

3 years ago

Factor completely, then place the factors in the proper location on the grid. a2 - 5a - 6

horrorfan [7]

Answer:

(a-6)(a+1)

Step-by-step explanation:

factor a2-5a-6

7 0

3 years ago

Arrange the following in decreasing order. 3.8 m^2 380 cm? 0.038 km2 3,800 mm Which of the following shows the answers in decrea

Snezhnost [94]

Answer:

C. 0.038 km² > 3.8 m² > 380 cm² > 3800 mm²

Step-by-step explanation:

Convert every measurement to the same unit, say, square metres.

(a) 3.8 m²

No conversion necessary

(b) 380 cm²

$\text{Area} = \text{380 cm}^{2} \times \left (\dfrac{\text{1 m}}{\text{100 cm}} \right )^{2} = \textbf{0.038 m}^{2}$

(c) 0.038 km²

$\text{Area} = \text{0.038 km}^{2} \times \left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2} = \textbf{38 000 m}^{2}$

(d) 3800 mm²

$\text{Area} = \text{3800 mm}^{2} \times \left (\dfrac{\text{1 m}}{\text{1000 mm}} \right )^{2} = \textbf{0.0038 m}^{2}$

In decreasing order, 0.038 km² > 3.8 m² > 380 cm² > 3800 mm²

6 0

2 years ago