Solve the inequality 4(x+1)<4x+3

Answer

I think A or c

Step-by-step explanation:

Your answer to this would be A, The table and equation of the same slope.

To find this, just divide Y by X. For ex, this could look something like 12 divided 4, 15 divided by 5, or 18 divided by 6.

To figure this out too, you can plug in the X and Y components into the equation to see if it checks out.

If you need any further help, please do not hesitate to ask or message me!!

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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The answer of the given question based on the expression have a quotient of 6.

A expression is combination of numbers, variables, and mathematical operations, In which may include addition, subtraction, multiplication, division, exponents, and root.

There are many expressions that have quotient of 6, they are ,

18 ÷ 3 = 6

36 ÷ 6 = 6

54 ÷ 9 = 6

12 ÷ 2 = 6

30 ÷ 5 = 6

42 ÷ 7 = 6

And the second answer is ,The princess' reaction to the pea serves as the inciting incident of the story and sets the plot in motion. In the original fairy tale "The Princess and the Pea," the queen places a pea under twenty mattresses and twenty feather beds to test whether the princess is truly a delicate and sensitive person, as she claims to be. The princess is unable to sleep due to the discomfort caused by the pea, and the next morning, she tells the queen about her sleepless night. This leads to her being recognized as a true princess, and she marries the prince.

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Answer:

I will give you the explanation, figure out the answer.

Step-by-step explanation:

For this expression, you need to distribute 27 into the expression inside the parantheses.

Distributing will look like this:

(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)

Now to get the simplified version of this expression, you just need to multiply and combine like terms!

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer: 2. They are congruent angles.

Step-by-step explanation:

      Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.

     Vertical angle pairs are congruent angles, meaning the answer to this question is;

              2. They are congruent angles.

Answer: They are congruent angles.

Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)

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If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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The radius of the circle is r=10 in.

The circumference of the circle is,

Thus, the exact value of circumference is 20pi inches and the approximate value is 62.83 in.

Answer:

Step-by-step explanation:

x + ab = p

x = p - ab

The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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Find the sum of (x + 1)² - 4 when x = 7

60

Please look at the attached picture :)

We are given with a expression (x + 1)² - 4 and we need to find it's value when x = 7 . So , Let's name this polynomial first, let's say that p(x) = (x + 1)² - 4 . Now ;

\({:\implies \quad \sf p(x)=(x+1)^{2}-4}\)

Now , substitute x = 7 ,

\({:\implies \quad \sf p(7)=(7+1)^{2}-4}\)

\({:\implies \quad \sf p(7)=(8)^{2}-4}\)

\({:\implies \quad \sf p(7)=64-4}\)

\({:\implies \quad \bf \therefore \quad p(7)=60}\)

Hence , The Required answer is 60

Remember that

The incenter is the point where three bisectors of the interior angles of a triangle intersect and it is the center of the inscribed circle

therefore

The value of x in the equation -4x = 76 is 19.

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

-4x = 76,

-x = 76 / 4,

x = -19

Therefore, the value of x in the equation -4x = 76 is 19.

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Answer: -12

Step-by-step explanation:

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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The interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].

Option D) is the correct answer.

To determine whether the average rate of change is positive, f(max) - f(min) must be greater than zero.

Given the function; f(x) = x³ - 9x

We determine f(max) - f(min)

At interval [ -2, 1 ]

(x³ - 9x) - ( x³ - 9x )

( (1)³ - 9(1) ) - ((-2)³ - 9(-2))= -8 - 10 = -18 NOT POSITIVE

At interval [ -2, 3 ]

(x³ - 9x) - ( x³ - 9x )

( (3)³ - 9(3) ) - ((-3)³ - 9(-3))= 0 - 0 = 0 NOT POSITIVE

At interval [ -1, 2 ]

(x³ - 9x) - ( x³ - 9x )

( (2)³ - 9(2) ) - ((-1)³ - 9(-1))= -10 - 8 = -18 NOT POSITIVE

At interval [ -4, -1 ]

(x³ - 9x) - ( x³ - 9x )

( (-1)³ - 9(-1) ) - ((-4)³ - 9(-4))= 8 - (-28) = 36 POSITIVE

Therefore, the interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].

Option D) is the correct answer.

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The y-coordinate of point P is 1.To find the y-coordinate of the point P on the parabola y = 3x^2 - 11x + 10 where the slope is 7, we can differentiate the equation to find the derivative. The derivative of y = 3x^2 - 11x + 10 is y' = 6x - 11.

To find the x-coordinate of point P, we can set the derivative equal to the given slope: 6x - 11 = 7. Solving for x, we get x = 3.

To find the y-coordinate of point P, we substitute the x-coordinate back into the original equation: y = 3(3^2) - 11(3) + 10. Simplifying, we find y = 1.

Therefore, the y-coordinate of point P is 1.

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The equation if a=4 represents the number of people who can go to the park is 8.75 + 26.50a = C.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

a formula that expresses the connection between two expressions on each side of a sign.

Typically, it has a single variable and an equal sign.

Like this: 2x - 4 = 2.

In the above example, the variable x exists.

So, the equation represents the number of people who can go to the park:

The total budget is $114.75.

Parking costs $8.75.

The cost of a ticket per person is $26.50.

So form the equation:

Let, a be the number of people and C be the total cost.

8.75 + 26.50a = C

Now, let a be 4.

8.75 + 26.50a = C

8.75 + 26.50(4) = C

8.75 + 106 = C

114.75 = C

Therefore, the equation if a=4 represents the number of people who can go to the park is 8.75 + 26.50a = C.

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Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

Answer: 64%

Step-by-step explanation:

Given: Size of photo = 7-by-5-inch

Area of photo = 7 x 5 = 35 sq. inches   [ Area = Length x width]

Required size = 4.2 inches by 3 inches

Area of required size = 4.2 x 3 =12.6 sq. inches

Area reduced =Area of photo  - Area of required size = 35-12.6 =22.4 sq. inches

Percentage of the photo need to be reduced to in order for it to fit in the allotted space

\(=\dfrac{22.4}{35}\times100=64\%\)

Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%

H

Answer:

576 pi cm3

Step-by-step explanation:

Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.

To convert the fraction 11/4 to a mixed numeral, we need to determine the whole number part and the fractional part.

Divide the numerator (11) by the denominator (4).

11 ÷ 4 = 2 remainder 3

The quotient 2 represents the whole number part, and the remainder 3 represents the fractional part.

Write the mixed numeral using the whole number part and the fractional part.

The mixed numeral for 11/4 is:

2 and 3/4

Therefore, Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.

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We have to find the composition of functions g(f(x)).

We have the definitions of f(x) and g(x) as:

Then, we can find the composition as;

Answer: g(f(x)) = 128x² - 160x +58

Answer:

0.9^10

Step-by-step explanation:

The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9

There are 10 questions  that are independent from each other .

The probability to be answered correctly is 0.9  each.  So the probability to answer correctly to all of them is

P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10

The number of minutes of talk time used each month is approximately 92 minutes.

What is Equation ?

In mathematics, an equation is a statement that asserts the equality of two expressions, which are usually denoted by variables. An equation typically contains one or more variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.

Let's break down the equation provided to understand how it was derived:

The cost for each month includes three components: the base cost of $29.70, the cost for any minutes over 600, and the cost for email access (which is 30% of the price for 600 minutes of talk time).

The cost for any minutes over 600 is $0.08 per minute.

The total cost for all months is $267.66.

We want to find the number of minutes of talk time used each month, represented by "m".

Putting this all together, we get the equation:

Total cost for 6 months = 6 x (cost per month)

$267.66 = 6 x ($29.70 + $0.08 x (m - 600) + 0.3 x $29.70)

Simplifying this equation, we get:

$267.66 = $178.20 + $1.44m - $43.47

$1.44m = $132.93

m = 92.24 (rounded to the nearest minute)

Therefore, the number of minutes of talk time used each month is approximately 92 minutes.

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