Data Set [ 146, 161, 114, 178, 150, 134, 172, 131, 128]. Find the Range

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

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Answer:

i do not know

Step-by-step explanation:

Answer:

Step-by-step explanation:

The circumference:

If the circumference is doubled, it means the radius is doubled.

The area:

And the new area:

Correct choice is D

Answer:

Solution given:

area of a circle[A]=πr²

circumference of circle [C]=2πr

when circumference of circle is doubled

it becomes :4πr

Step-by-step explanation:

area directly proportional to circumference

πr²=2πr

when circumference is doubled

πr²=2(2πr)

so area

C. The area is 2 times the original circle

Answer:

x = 26

Step-by-step explanation:

[tex] {(x - 21)}^{2} = 25 \\ x - 21 = \sqrt{25} \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26[/tex]

Answer:

x = 26, x = 16.

Step-by-step explanation:

(x - 21)² = 25

Expand the factor.

(x - 21)(x - 21) = 25

Multiply using FOIL.

x² - 42x + 441 = 25

Subtract 25 from both sides.

x² - 42x + 416 = 0

Factor.

(x - 26)(x - 16) = 0.

Set both expressions to 0 and solve.

x - 26 = 0

Add 26 to both sides.

x = 26

x - 16 = 0

Add 16 to both sides.

x = 16

Answer:

$55.20

Step-by-step explanation:

19x2=38

21x2=42

42+38=80

80x.69=55.2

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

Answer:

23

Step-by-step explanation:

the coefficient is the number attached to the variable

Answer:

23

coefficient-23

variable-y

constant-5

Answer:

Circumference= 50.27

Area= 201.06

The quotient of the fractions 2/3 divided by 5/4 is 8/20

A fraction can be simply described as the part of a whole variable, number or element.

There are several types of fractions in mathematics, which includes;

Quotient can simply be described as the product of division of two numbers or variables,

From the information given, we have;

2/3 ÷ 5/4

take the inverse of the divisor and multiply

2/3 × 4/5

Multiply the values

8/20

Hence, the value is 8/20

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Answer:

Dfrew

Step-by-step explanation:

Answer:

Picture #1

Triangles ΔJKL and ΔXYZ have:

∠X is corresponding to ∠J, since they are different (90° vs 38°), the triangles can't be similar

Picture #2

Perimeter is the sum of the sides each has same ratio.

The ratio of the perimeters will be same as the ratio of each corresponding pair.

Correct choice is C. 3:5

Picture #3

Use ratios of corresponding sides:

Correct choice is B

Answer:

20ft.

Step-by-step explanation:

The perimeter is 40ft. You are starting at the perimeter of the pool swimming inward, you will have to swim half of that distance to reach the center.

Answer:

40

Step-by-step explanation:

14/35 = f/100

35f = 14 x 100

f = 14 x 100 /35

f = 40

Answer:

40

Step-by-step explanation:

Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.

14/.35

There.

Answer:

17.5

Step-by-step explanation:

[tex]15^{2}+9^{2}= 306\\[/tex]

[tex]\sqrt{306} = 17.5[/tex]

Answer:

x ≈ 17.5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 9² + 15² = 81 + 225 = 306 ( take the square root of both sides )

x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )

Answer:

C

Step-by-step explanation:

since the employee earns 3 points for every renewal and he renews 4 you must multiply those together. then you need to add the loss of points (-2) times the number of nonrenewal customers (7).

Answer:

see below

Step-by-step explanation:

2:

# of sides = 3

# of vertices = 3

name of shape: triangle

3.

# of sides = 4

# of vertices = 4

name of shape: quadrilateral

4.

# of sides = 5

# of vertices = 5

name of shape: pentagon

5.

# of sides = 6

# of vertices = 6

name of shape: hexagon

6.

# of sides = 8

# of vertices = 8

name of shape: octagon

Answer:

6 pizzas

Step-by-step explanation:

divide 4.5 by 3/4

Answer:

The measure of the side [tex]QR[/tex] is 8.8.

Step-by-step explanation:

Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:

[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio.

If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:

[tex]k = \frac{OL}{SP}[/tex] (1b)

[tex]k = \frac{55}{13}[/tex]

[tex]k = \frac{MN}{QR}[/tex]

[tex]QR = \frac{MN}{k}[/tex] (1c)

[tex]QR = \frac{37}{\frac{55}{13} }[/tex]

[tex]QR = 8.745[/tex]

The measure of the side [tex]QR[/tex] is 8.8.

Answer:

The rectangle that we could use to find the area of the yellow triangle, is a rectangle of length = 12cm and a width = 8 cm. (A image of this can be seen below).

Remember that:

The area of a rectangle of length L and width W is:

A = W*L

The area of a triangle rectangle with catheti a and b is:

A = a*b/2

Then the area of the rectangle of length = 12cm and width = 8cm is:

A = 12cm*8cm = 96 cm^2

Now we need to subtract twice the area of a triangle rectangle of catheti a = 8cm and  b = 6cm

(one cathetus is 6cm because is exactly half of the length of the rectangle)

The area of each one of these triangle rectangles is:

A' = 8cm*6cm/2 = 24cm^2

The area of the yellow triangle will be:

A = A - A' = 96cm^2 - 2*24cm^2 = 48cm^2

Answer:

It would be:

[tex]2.11 \times {10}^{8} [/tex]

Step-by-step explanation:

You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.

Answer:

32 ft

Step-by-step explanation:

s = number of sides

Area of a square = s²

64 = s²

[tex]\sqrt{64}[/tex] = s²

8 = s

P = 4s

P = 4(8)

P = 32

Answer:

P = 64

Step-by-step explanation:

Area ÷ 4 = One side length = 16

16 x 4 = 64

Answer:

44398.84

Step-by-step explanation:

17,000e^(0.06)(16)

it helps to use a desmos scientific calculator

Answer:

60

Step-by-step explanation:

calculated it with scientific calculator

Answer:

mean:54.857142857143

Range:44

median:56

mode:46

Answer:

Mean: 54

Median: 56

Range: 44

Mode: 46

If you need any help revolving around this topic,feel free to ask and I will be happy to help. Good luck!