4x2 divided by 3 please help thanks you

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

1. 2

2. 0

3. 7

4. 4

5. 1

6. 2

7. 6

8. 4

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Answer:  y-4 = 3(x - 5)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Given coordinate points: ​(4​,4​) and ​(5​,7​)   \(m=\frac{y-y_{1} } {x-x_{1 }}\) substitute values:

m= 7-4/5-4  becomes  m= 3/1   so the slope m = 3

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (5,7)

y - 7 = 3(x - 5)

The attachment shows the graph of this equation.

(The equivalent slope-intercept form for this is y = 3x - 8 )

Answer:

Y - 4 = 3(X - 4)

Step-by-step explanation:

Y2 - Y1 / X2 - X1 = M, 7 - 4 / 5 - 4 = M, 3 / 1 = M, M = 3

Y - Y1 = M(X - X1),  

Y - 4 = 3(X - 4),

Y - 4 = 3X - 12,

+4   +4

Y = 3X - 8

Answer:

y=mx+b

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Work backwards:

5 + x = 6 (minus 5 from both sides)

6-5 = x

x =1

Sub in to check

Answer:

5 + x = 6

X = 6 -5

X = 1

Value of X is 1

The distance it will take to drive from Toronto to buffalo (distance between Toronto and buffalo is 154km) is 1.75 hours.

We are given that;

distance = 154 km speed = 88 km/hr

Now,

we need to use the formula:

time = distance / speed

where time is in hours, distance is in kilometers, and speed is in kilometers per hour.

Plugging these values into the formula, we get:

time = 154 / 88 time ≈ 1.75

Therefore, by speed the answer will be 1.75 hours.

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Solving for a variable is an illustration of changing the subject of formula

The formula to calculate h is: \(h=\frac{3V}{\pi r^2}\)

The volume of a cone is:

\(V=\frac{1}{3}\pi r^2\)

Multiply both sides by 3

\(3*V=\frac{1}{3}\pi r^2h*3\)

\(3V=\pi r^2h\)

Divide both sides of the equation by \(\pi r^2\)

So, we have:

\(\frac{3V}{\pi r^2}=h\)

Rewrite as:

\(h=\frac{3V}{\pi r^2}\)

Hence, the formula to calculate h is:

\(h=\frac{3V}{\pi r^2}\)

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Answer: 371 / y

Step-by-step explanation: 371 is the dividend and y is the divisor

The angle between m and P (m∠P) is 124°.

In the given picture, W and P are alternate interior angles.

If two parallel lines are cut by a transversal, alternate interior angles are congruent. So, m∠P is equal to m∠W.

Therefore, m∠P is 124°.

In plane geometry, the figure formed by two rays or lines that share a common endpoint is called an angle. The word "angle" comes from the Latin word "angulus" which means "horn". The two rays are called the sides of the angle, and the common endpoint is called the vertex.

Common contact points are called corner vertices. The word angle comes from the Latin word 'angulus', which means 'horn'. Angles around us: There are many everyday examples of angles: hangers, arrowheads, scissors, partially open doors, pyramids, table edges, and ruler edges.

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Answer:

Step-by-step explanation:

Given:

∠2 and ∠4 are the vertical angles

To prove:

∠2 ≅ ∠4

Solution:

                Statements                                          Reasons

1). ∠2 and ∠4 are the vertical angles      1). Given

2). Lines m and n intersect at P.             2). Definition of vertical angles

2). ∠2 and ∠3 are the linear pairs          2). Given in the diagram

3). ∠2 + ∠3 = 180°                                    3). Linear pair theorem

4). ∠3 and ∠4 are the linear pairs          2). Given in the diagram

5). ∠3 + ∠4 = 180°                                    5). Linear pair theorem

6). ∠2 + ∠3 = ∠3 + ∠4                             6). Transitive Property

7). ∠2 ≅ ∠4                                              7). Subtraction property

Any location at which two lines converge will have the same opposing angle subtended by it. It is proved that ∠2 ≅ ∠4.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given,

∠2+∠3=180°

∠3+∠4=180°

Equating both the equation we get;

∠2=∠4

Statement;

Lines m and n intersect at p.

Reason;

If two lines intersect at any point the opposite angle subtended by the intersecting point will be the same.

Statement;

∠2 + ∠3 = 180°                        

Reason;

linear pair theorem states that the linear angle has the sum of 180°.

Statement;

∠2 + ∠3 = 180°    

Reason;

linear pair theorem states that the linear angle has the sum of 180°.

Statement;

∠3 + ∠4 = 180°    

Reason;

linear pair theorem states that the linear angle has the sum of 180°.

Statement;

∠2 + ∠3 = ∠3 + ∠4                          

Reason;

Transitive Property

Statement;

∠2 ≅ ∠4            

Reason;

Subtraction property

Hence, it is proved that ∠2 ≅ ∠4.

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Answer: You are correct! Whatever adds up to 100% is the answer! :)

The required maximum value of C is 16, and it occurs when x = 3 and y = 2.

To find the maximum value of C = 4x + 2y subject to the restraints x > 2, x < 5, y > 1, and y < 6, we can use the method of Lagrange multipliers.

First, we set up the Lagrangian function L as follows:

L = 4x + 2y - λ₁(x - 2) - λ₂(x - 5) - λ₃(y - 1) - λ₄(y - 6)

where λ1, λ2, λ3, and λ4 are Lagrange multipliers.

Next, we take the partial derivatives of L with respect to x, y, λ1, λ2, λ3, and λ4, and set them equal to zero:

∂L/∂x = 4 - λ₁ - λ₂ = 0

∂L/∂y = 2 - λ₃ - λ = 0

∂L/∂λ₁ = x - 2 = 0

∂L/∂λ₁ = 5 - x = 0

∂L/∂λ₃ = y - 1 = 0

∂L/∂λ₄ = 6 - y = 0

Solving these equations simultaneously, we get:

λ₁ = 1, λ₂ = 3, λ₃ = 1, λ₄ = 1, x = 3, y = 2

Therefore, the maximum value of C is:

C = 4x + 2y = 4(3) + 2(2) = 16

So, the maximum value of C is 16, and it occurs when x = 3 and y = 2.

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Answer: I think it would be 45° because it would capture more sunlight

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

\( {12x}^{4} + {39x}^{3} + {9x}^{2} \)

We csn pull out 3x² out of the expression.

\( {3x}^{2} (4 {x}^{2} + 13x + 3)\)

We simply pull out the x-term with lowest degree and 3 out of the expression. If another expression cannot be factored after first factoring then that's the final answer.

\( {4x}^{2} + 13x + 3 \\ (4x + 1)(x + 3)\)

\(3 {x}^{2} (4x + 1)(x + 3)\)

\( \large \boxed { {3x}^{2} (4x + 1)(x + 3)}\)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

Answer:

= -4.41666666667

Step-by-step explanation:

Answer:

    \(-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\\)

LCM (3, 2 ,4) = 12

   \(\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}\)

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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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:

$0.80 per notebook

$0.40 per pencil

Step-by-step explanation:

To find the rate, we need to determine how much each item costs. That is, the cost per item.

Given that,

4 notebooks = $3.20

The cost of 1 notebook/rate = \( \frac{3.20}{4} = 0.80 \)

Rate = $0.80 per notebook

Given that,

12 pencils = $4.80

The cost of 1 notebook/rate = \( \frac{4.80}{12} = 0.40 \)

Rate = $0.40 per pencil.

Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

The perimeter of the rectangle is 4h + 6

An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.

These expressions are also made up of arithmetic operations, such as;

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2( l + h)

Where;

l = 3 + h

Substitute the values

Perimeter = 2( 3 + h+ h)

expand the bracket

Perimeter = 2(3 + 2h)

Perimeter = 4h + 6

Hence, the expression is 4h + 6

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Explanation

Given

We will have;

The solution derived has a positive sign. Therefore;

Answer: Option A

Answer:

x = 8

y = 2

Step-by-step explanation:

Answer:

"0.0808" is the appropriate response.

Step-by-step explanation:

Given:

n = 524

\(\hat{P}\) = 41%

or,

   = 0.41

\(1-\hat{P}=1-0.41\)

         \(=0.59\)

\(\mu \hat{P}=\hat{P}\)

     \(=0.41\)

Now,

⇒ \(6 \hat{P}=\sqrt{\frac{\hat {P}(1-\hat{P})}{n} }\)

         \(=\sqrt{\frac{0.41\times 0.59}{524} }\)

         \(=0.0215\)

\(P(\hat {P}>44 \ percent)\)

or,

\(P(\hat{P}>0.44)\)

          \(=1-P(\hat{P}<0.44)\)

          \(=1-P(\frac{\hat{P}-\mu \hat{P}}{6 \hat{P}} <\frac{0.44-0.41}{0.0215} )\)

          \(=1-P(z<1.40)\)

By using the standard normal table, we get

          \(=1-0.9192\)

          \(=0.0808\)