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1 year ago

What is the rate of change in the function below? y=2x+7

Mathematics

1 answer:

Mkey [24]1 year ago

3 0

Answer:

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

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Can someone help me with this please ?

Arturiano [62]

3. (x + 1)/4 = 3 / 6
x + 1 = 3/6 x 4 = 2
x = 1

Scale factor = 6 / 4 = 1.5

Ratio of perimeters = 2 : 3

4. x / 21 = 20 / 15
x = 20 / 15 x 21 = 28

Scale factor = 20 / 15 = 4/3

Ratio of perimeters = 3 : 4

3 0

3 years ago

A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t

aniked [119]

Answer:

$18.97 \text{ and }12.65\text{ft}$

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of $240$ square feet. The fence along three sides is to be made of material that costs $6$ dollars per foot, and the material for the fourth side costs $12$ dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence $=240\text{ sq. ft}$

let the length of fence $=x$

let the width of fence $=y$

let $x$ be the smaller side

Area of rectangular fence enclosure $=xy$

$xy=240$

$y=\frac{240}{x}$

cost of fence along three sides $=6 \text{ dollars per feet}$

cost of fence along fourth side $=12 \text{ dollars per feet}$

length of fence $=2x+2y$

cost of fence building $=6(2x+y)+12y$

$=12x+18y$

putting value of $y$

$=12x+18\times\frac{240}{x}$

$=12x+4320x^{-1}$

to find minimum value differentiating the equation

$12-\frac{4320}{x^{2} }=0$

$x^{2} =\frac{4320}{12}$

$x^{2} =360$

$x=18.97\text{ft}$

$y=12.65\text{ft}$

Hence the dimensions of the enclosure that is most economical to construct are $18.97\text{ft}$ and $12.65\text{ft}$

8 0

2 years ago

Ned counts by fives . he starts at 80 . which number should he say next ?

hodyreva [135]

The next answer is 85.

Counting by five is the same as adding 5 to the number he starts with.

Therefore, 80 + 5 = 85

5 0

2 years ago

Anybody know the answer to this?

galben [10]

Answer:

Hypotenuse-Leg Theorem (HL)

Step-by-step explanation:

The HL theorem states that two right triangles are congruent if their hypotenuses are the same length and one leg is the same length. Since the diagram shows this, you can say these triangles through the HL theorem.

4 0

2 years ago

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Help me please find x for this triangle!!!!

8090 [49]

X = 29

61 + 90 = 151
180-151 = 29

3 0

2 years ago

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