Identify the range of the function shown in the graph

Help me with this math

stellarik [79]

Answer:

(x+2)(x+5) or if you were looking for the x-intercepts they would be -5, and -2

7 0

3 years ago

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To describe a specific arith-

Bezzdna [24]

Answer:

$f(x) = 7x + 30$

Step-by-step explanation:

We need at least two points to write the equation of a straight line.

The recursive formula that Elijah wrote is:

$f(0) = 30$

$f(n + 1) = f(n) + 7$

When we substitute n=0, we get:

$f(0 + 1) = f(0) + 7$

$f(1) = 30 + 7$

$f(1) = 37$

The points (0,30) and (1,37) lies on this line.

The equation of this line is of the form:

$f(x) = mx + b$

where b =30 is the y-intercept and m=7 is the slope.

We plug in these values to get:

$f(x) = 7x + 30$

Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.

You could also use the two points to find the slope:

$m = \frac{37 - 30}{1 - 0} = 7$

4 0

2 years ago

The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and the length

Helga [31]

Answer:

Step-by-step explanation:

Represent the width by W. Then, "The length of a rectangular field is 7 m less than 4 times the width" expressed symbolically is

L = 4W - 7 (dimensions in meters)

Recall that the perimeter formula in this case is P = 2L + 2W, and recognize that the perimeter value is 136 m. After substituting 4W - 7 for L, we get:

136 m = 2(4W - 7) + 2W, or

136 = 8W - 14 + 2W, or

150 = 10W These three equations are equivalent mathematical statements.

150 = 10W reduces to W = 15 (meters).

Part A: the independent variable is W, the width of the field.

Part B: The mathematical statement is 136 m = 2(4W - 7) + 2W, which after algebraic manipulation becomes 150 = 10W.

Part C: The above equation can be solved for W: W = 15 meters. This is the value of the independent variable.

6 0

2 years ago

Below is a series of steps Mel took to solve an equation. She got the wrong answer. Find Mel's mistake. Then, use order of opera

Inessa [10]

Answer: x = 9

Mel's mistake was in the last step, she multiplied by 2 instead of dividing by 2

Step-by-step explanation:

2x + 1 = 19

Subtract 1 from each side

2x = 18

Divide by 2

x = 9

3 0

2 years ago

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How to work it out logically? Question a !!!

Arturiano [62]

Answer:

Fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.

Step-by-step explanation:

Given the figure with dimensions. we have to find the area of given figure.

Area of figure=ar(1)+ar(2)+ar(3)

Area of region 1 = ar(ANGI)+ar(AIB)

$=L\times B+\frac{1}{2}\times base\times height\\\\=[1500\times (5000-2000-1500)]+\frac{1}{2}\times (3000-1500)\times (5000-2000-1500)\\\\=3375000m^2=337.5ha$

Area of region 2 = ar(DHBC)

$=2000\times1500\\\\=3000000m^2=300ha$

Area of region 3 = ar(GFEH)

$(2000+1500)\times 1000\\\\=3500000m^2=350ha$

Hence, Area of figure=ar(1)+ar(2)+ar(3)=337.5ha+300ha+350ha

=987.5 ha

Now, we have to do straight-line fencing such that area become half and cost of fencing is minimum.

Let the fencing be done through x m downward from B which divides the two into equal area.

⇒ Area of upper part above fencing=Area of lower part below fencing

⇒ $ar(ANGB)+ar(GKLB)=ar(KLCM)+ar(MDCF)\\\\337500+3000x=(3500-x)\times 1000+2000(1500-x)\\\\3375000+3000x=3500000-1000x+3000000-2000x\\\\6000x=315000\\\\x=\frac{315000}{6000}=520.8m$

Hence, fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.

7 0

2 years ago

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