Which graph represents the solution to (x - 3)(x + 2) ≥ 0?

Answer:

Infinitely many solutions

Step-by-step explanation:

Both sides are same, it means regardless the value of x the equation is correct. The equation has infinitely many solutions

The Perimeter of the given figure is 20.56 feet and the area is 25.12 + 12.56 = 37.68 square feet (rounded to two decimal places).

The perimeter and area of the figure is to be determined with the given values. The figure is shown below,In the given figure, a partial circle with center A has a radius of 4 feet.

It can be observed that the given figure is not a circle, but a semi-circle and a quarter of a circle.We know that,For a circle of radius r,Perimeter = 2πrArea = πr²For the semi-circle of radius 4 feet

,Perimeter = πr + 2r= π(4) + 2(4) = 4π + 8 feet= (4 x 3.14) + 8= 12.56 + 8= 20.56 feet (rounded to two decimal places)Area = 1/2 πr²= 1/2 π(4)²= 1/2 x 3.14 x 16= 25.12 square feet (rounded to two decimal places)For the quarter of a circle of radius 4 feet, Perimeter = πr/2 + 2r= π(4)/2 + 2(4) = 2π + 8 feet= 2(3.14) + 8= 6.28 + 8= 14.28 feet (rounded to two decimal places)

Area = 1/4 πr²= 1/4 π(4)²= 1/4 x 3.14 x 16= 12.56 square feet (rounded to two decimal places)

Therefore, the perimeter of the given figure is 20.56 feet and the area is 25.12 + 12.56 = 37.68 square feet (rounded to two decimal places).

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Answer:

D: 132 ft

Step-by-step explanation:

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

Answer:

132

Step-by-step explanation:

Answer:

8800m

Step-by-step explanation:

Answer: 35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer: 35N :)))))))))))))))))))))))))))))

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Answer:

60,000 tons

Step-by-step explanation:

Answer:

f( x) = x ^2 + 1

The equation  f( x) = x² + 1 makes the table true.

Two or more expressions with an equal sign is called as equation.

The given  table is

x     y

0     1

2     5

5     26

7      50

The table value satisfy with the function f( x) = x² + 1=y

if x=0, then y=f(0)=0² + 1=1

if x=2, then y=f(2)=2² + 1=4+1=5

if x=5, then y=f(5)=5² + 1=25+1=26

if x=7, then y=f(7)=7² + 1=49+1=50

Therefore f(x)=x² + 1 is the equation of table.

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Answer:

f(g))(0) = 0

Step-by-step explanation:

assuming you mean f(g)(0)

evaluate g(0) then substitute the value obtained into f

x = 0 then g(0) = 2 ← from graph (0, 2 ) , then

x = 2 then f(2) = 0 ← from graph (2, 0 )

Answer:

i thinks its 30

Step-by-step explanation:

no exp

Answer:

Below

Step-by-step explanation:

Given the slope m = 3/7

  the PERPINDICULAR slope will be  - 1/m  = -1 / (3/7) = - 7/3

      this is just something you have to LEARN and remember....

The slope of the line passing through the point (1, 2) and (-1, -3) is 2.5

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

The slope between two points A(x₁, y₁) and B(x₂, y₂) is given as:

Slope = (y₂ - y₁) / (x₂ - x₁)

Given that the line passes through the point (1, 2) and (-1, -3):

Slope = (-3 - 2)/(-1 - 1) = 2.5

The slope is 2.5

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Ms. Martinez purchased a total of 12 Blow Pops, likely for personal consumption or distribution among others.

Let's assume Ms. Martinez bought x Blow Pops and y Snickers. According to the information given, the cost of each Blow Pop is $0.50 and the cost of each Snickers is $0.60. So, the total cost of the Blow Pops would be 0.50x, and the total cost of the Snickers would be 0.60y. The total number of candies purchased is 30, so we can write the equation:

x + y = 30 ---(1)

The total cost of the candies is $16.80, so we can write another equation:

0.50x + 0.60y = 16.80 ---(2)

Now, we can solve these two equations simultaneously to find the values of x and y.

From equation (1), we can express x in terms of y:

x = 30 - y

Substituting this value of x into equation (2), we get:

0.50(30 - y) + 0.60y = 16.80

Simplifying the equation:

15 - 0.50y + 0.60y = 16.80

0.10y = 1.80

y = 1.80 / 0.10

y = 18

So, Ms. Martinez bought 18 Snickers. Now, we can substitute this value of y back into equation (1) to find x:

x + 18 = 30

x = 30 - 18

x = 12

Ms. Martinez bought 12 Blow Pops.

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The standard form of the equation of a parabola is y = ax² + bx + c, where 'a', 'b' and 'c' are constants.

A parabola is a type of curve in mathematics, and it is defined by an equation of the form y = ax² + bx + c. Here, a, b, and c are constants and x is a variable. The graph of this equation is a U-shaped curve, which is symmetrical about the line x = -b/(2a). The curve has exactly one point of inflection, located at -b/(2a), and the curve opens either up or down depending on the value of a. The vertex of the parabola also occurs at the point -b/(2a). Parabolas are used to describe a wide range of phenomena, including projectile motion and the trajectory of satellites in space. They are also used in optics, engineering, and other sciences.

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Step-by-step explanation:

We know , \( \boxed{ \sf{Interest = Principal \times Time \times Rate}}\)

Looking at the formula of simple interest , the three factors that determine simple interest should be :

Hope I helped !♡

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Step-by-step explanation:

\(n = 3 \times 5 {}^{2} \times {x}^{3} \)

Square both sides of the equation.

\({n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )\)

\(5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )\)

Answer:

Huh?

Step-by-step explanation:

I don't understand

To determine the number of pairwise non-isomorphic 6-vertex simple graphs with the given degree sequence, we can use the Havel-Hakimi algorithm.

Arrange the degree sequence in non-increasing order: 3, 3, 3, 3, 2, 2.

Check if the degree sequence is graphical, i.e., if it is possible to construct a simple graph with the given degree sequence. To do this, we repeatedly apply the following steps:

a. Start with the first element in the sequence (3 in this case).

b. Subtract 1 from the first element and remove it.

c. For the next 3 elements (3, 3, 3), subtract 1 from each of them.

d. Remove the first 2 elements (2, 2).

e. Repeat steps a-d until either all elements become 0 or we encounter a negative number.

If all elements become 0, then the degree sequence is graphical and a simple graph can be constructed. Count it as a valid graph.

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We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply

1/12 divided by 1/6 = 1/12 * 6/1

-------

From here we multiply straight across.

The numerators multiply to get 1*6 = 6

The denominators multiply to 12*1 = 12

We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6

Answer:

$0.52 or 52 cents

Step-by-step explanation:

Ratios:

\(\frac{25}{13} =\frac{1}{x} \\\\25x=13\\x=0.52\)

The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.

The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.

a) Chance of receiving 5:

P(6) + Q(6) = 5

Q(6) = 5 - P(6)

Q(6) = 5 - 0.4

Q(6) = 4.6

The probability of obtaining 5 to 5 is 4.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 4.6

The first five numbers have an equally likely probability.

P(1) = 4.6 ÷ 5

P(1) = 0.92

b) Probability of getting 3:

P(6) + Q(6) = 3

Q(6) = 3 - P(6)

Q(6) = 3 - 0.4

Q(6) = 2.6

The probability of obtaining 3 to 5 is 2.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 2.6

The first five numbers have an equally likely probability.

P(1) = 2.6 ÷ 5

P(1) = 0.52

c) Probability of getting 2:

P(6) + Q(6) = 2

Q(6) = 2 - P(6)

Q(6) = 2 - 0.4

Q(6) = 1.6

The probability of obtaining 2 to 5 is 1.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 1.6

The first five numbers have an equally likely probability.

P(1) = 1.6 ÷ 5

P(1) = 0.32

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Answer:

2

Step-by-step explanation:

So to get the answer we need to figure out what x is

2×2=4

so x has to be 2

Answer: $4372

Step-by-step explanation:

to calculate tax on money I count by 100s. It takes 40 $100 bills to equal $4000

Multiply 40*9.3=372

add 372+4000=4372

Answer:

a) A = 105

b)

c)

Step-by-step explanation:

a) Triangle = length * Height/2

2*6/2 = 6

3* 10 = 30/2 = 15

4*12 = 48/2 = 24

6* 10 = 60

6+15+24+60 = 105

b) Does anyone know how to solve for the length of DEF?

ABNM: 8*16 = 128

AGFM(1): 7*10 = 70

AGFM(2): 16-10 = 6*7 = 42

CBDN(1): 6*

c)

ABF: 6*9 = 54/2 = 27  ABF = CDM

7*9 = 54

AED: 12+6 = 18*8 = 144/2 = 72

27+27+54+72 = 180

Answer:

111 / 190

Step-by-step explanation:

Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;

\(12 / 20 * 11 / 19 = \frac{33}{95},\\Probability of Drawing 2 Liquorice = \frac{33}{95}\)

Apply this same concept to each of the other sweets;

\(5 / 20 * 4 / 19 = \frac{1}{19},\\Probability of Drawing 2 Mint Sweets = 1 / 19\\\\3 / 20 * 2 / 19 = \frac{3}{190},\\Probability of Drawing 2 Humbugs = 3 / 190\)

Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;

\(33 / 95 + 1 / 19 + 3 / 190 = \frac{79}{190},\\1 - \frac{79}{190} = \frac{111}{190}\\\\\)

The probability that the two sweets will not be the same type of sweet =

111 / 190

Answer:

Don't worry, I gotcha.

Step-by-step explanation:

3       -6      -3

----  + ----  = ----

4         5       9

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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Answer: 4x + 2 = -10

3x - 1 = 26

x + 7 = 34

Step-by-step explanation:

The probability that the randomly selected point is in the bullseye is 0.75, or 75%.

The area of the bullseye is the difference between the areas of the larger and smaller circles:

\(A = \pi r_1^2 - \pi r_2^2\)

where \(r_1\) is the radius of the larger circle (8 cm) and \(r_2\) is the radius of the smaller circle (4 cm).

\(A = \pi(8^2 - 4^2)A = \pi(64 - 16)A = 48\pi\)

The area of the entire target (both circles) is:

\(A = \pi r_1^2\)

A = 64π

Therefore, the probability of selecting a point in the bullseye is:

P(bullseye) = A(bullseye) / A(target)

P(bullseye) = (48π) / (64π)

P(bullseye) = 3/4 or 0.75

So the probability that the randomly selected point is in the bullseye is 0.75, or 75%.

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