Find Terms and algebraic expression

4 less than the product of 3 and y

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

Answer:

Kenyan French Roast coffee x=6

Sumatran coffee y=14

Step-by-step explanation:

x+y=20     blend coffee

8x+7y=7.3(20)     selling price

x+y=20 ⇒ x=20-y

substitute in the equation:

8x+7y=7.3(20)

8(20-y)+7y=7.3(20) for 20 pound blend

160-8y+7y=146

-y=146-160

y=14 pond

x+y=20

x=20-14=6

check : 14*7+6(8)=146/7.3=20 pound

The price of the  Kenyan French Roast coffee is $6 and the price of Sumatran coffee is $14.

Two equations can be derived from the question:

8x + 7y = 20(7.3)

8x + 7y = 146 equation 1

x + y = 20 equation 2

Where: x

x = Kenyan French Roast coffee

y = Sumatran coffee.

To determine the value of y, multiply equation 2 by 8

8x + 8y = 160 equation 3

Subtract equation 1 from 3

y = 14

Substitute for y in equation 2

x + 14 = 20

x = 20 - 14

x = 6

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Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

A i believe, correct me if I'm wrong

Answer:

a. distributive

Step-by-step explanation:

Answer:

Mr Eaton 99.5, Mr. Walker is 74.5

Step-by-step explanation:

Mr Eatons = x + 25

Mr Walkers = x

x+ x + 25=174

2x=149

x=74.5 Mr Walker

x+25

74.5+25=99.5 Mr Eaton

check answer:

74.5+99.5=174

Answer:

d. none

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7+x=4(x−2)

7+x=(4)(x)+(4)(−2)(Distribute)

7+x=4x+−8

x+7=4x−8

Step 2: Subtract 4x from both sides.

x+7−4x=4x−8−4x

−3x+7=−8

Step 3: Subtract 7 from both sides.

−3x+7−7=−8−7

−3x=−15

Step 4: Divide both sides by -3.

−3x

−3

=

−15

−3

x=5

Answer:

p=6/5

Step-by-step explanation:

p=6/5 or 1.2 or (1 and 1/5)

Steps

Switch sides of equation

Divide both sides by 5

Simplify

Add 2 to both sides

The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).

In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.

In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.

According to given information:

Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):

\(f(x) = a(x- (-1))(x- (-11))\)

Simplifying, we get:

\(f(x) = a(x+1)(x+11)\)

To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:

\(-5 = (-1+(-11))/2\\-5 = -6\)

This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:

\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)

We also know that the function has a minimum at this point, so we can use this to find the value of a:

\(f(-6) = -5\\-5= -5a\\\\a = 1\)

Therefore, the quadratic function that satisfies these conditions is:

\(f(x) = (x+1) (x+11)\)

We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:

x-coordinate of vertex = \((-1 +(-11))/2 =-6\)

y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)

Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.

Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?

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The ratios are;

Sin θ =  5/6

Cos θ = √11/6

Tan θ =  5√11/11

Sec  θ =  6√11/11

Cosec  θ = 6/5

Cot θ =  √11/5

These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides

We can see that the hypotenuse is obtained from;

x =√\((10)^2 + (2\sqrt{} 11)^2\)

x = √100 + 44

x = 12

Then;

Sin θ = 10/12 = 5/6

Cos θ =  2√11/12

= √11/6

Tan θ = 10/2√11

= 20√11/44

= 5√11/11

Sec  θ =  1/Cos  θ

=  6/√11

= 6√11/11

Cosec  θ = 1/Sin

 θ = 6/5

Cot θ = 1/tan θ

= 11/ 5√11

= 55√11/275

= √11/5

Sinβ = 2√11/12

= √11/6

Cos β = 10/12

= 5/6

Tan β = 2√11/10

= √11/5

Sec β = 6/5

Cosec β = 6√11/11

Cot β = 5√11/11

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The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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The value of x in the right triangle is 10.43 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in the triangle is 180 degrees. Therefore, let's find the value of x in the right triangle.

tan 41 = opposite / adjacent

opposite side = x

adjacent side = 12

Therefore,

tan 41° = x / 12

cross multiply

x = 12 tan 41°

x = 12 × 0.86928673781

x = 10.4314408538

Therefore,

x = 10.43 units

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same needs to climb at a 12 rate

Answer:

\(\boxed{Option \ B}\)

Step-by-step explanation:

In the triangle,

Hypotenuse = 13

Opposite = Perpendicular = 5

Adjacent = Base = 12

Now,

Cos B = \(\frac{Adjacent}{Hypotenuse}\)

Cos B = 12/13

If the triangle is just like in the attached file!

Answer:

B) 12/13

Step-by-step explanation:

Step-by-step explanation:

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

The correct statements are,

⇒ m ∠x + m ∠y = 180°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angles are shown in figure.

Now, By definition of supplementary angle, we get;

⇒ m ∠x + m ∠y = 180°

Thus, The correct statements are,

⇒ m ∠x + m ∠y = 180°

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The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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the polynomial function with the stated properties is:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

what is  polynomial function ?

A polynomial function is a type of mathematical function that can be expressed as a sum of powers of a variable, multiplied by coefficients. The variable in a polynomial function is usually denoted by x, and the highest power of x that appears in the function is known as the degree of the polynomial.

In the given question,

A polynomial function of degree 3 with zeros of -4, -2, and 5 can be expressed in factored form as:

f(x) = a(x + 4)(x + 2)(x - 5)

where a is a constant coefficient that we need to determine, and (x + 4), (x + 2), and (x - 5) are the factors corresponding to the zeros -4, -2, and 5, respectively.

To find the value of the constant coefficient a, we can use the y-intercept of the function, which is given as -11. The y-intercept occurs when x = 0, so we can substitute x = 0 into the factored form of the function and set it equal to -11:

f(0) = a(0 + 4)(0 + 2)(0 - 5) = -11

Simplifying and solving for a, we get:

a = -11 / (42(-5)) = 11/40

Substituting this value of a back into the factored form of the function, we get:

f(x) = (11/40)(x + 4)(x + 2)(x - 5)

Expanding this expression, we get:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

Therefore, the polynomial function with the stated properties is:

f(x) = (11/40)x³ - (33/20)x² - (33/10)x + 55

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Answer:

C is correct

Step-by-step explanation:

The x and y axes are linear, the plot is linear. The constant rate of change is assured with those conditions.

Answer:

False

Step-by-step explanation:

The male's want sports cars more and the female's want SUV's more.

The value of N that satisfies the following equation, 5!9!= 12N!, is 10.

Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.

Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.

Given the equation 5!9!= 12N!, expand the factorial notation.

(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!

N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

N = 10

Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.

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Answer:

70%

Step-by-step explanation:

3/10 is 30%, which means 30% of children got an average score.

100-30 = 70

so the answer is 70%

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Answer:

Using the rational root theorem, we know to divide the function by (x - 1).

(7x³ + 9x² - 12x - 4) / (x - 1) = 7x^2 + 16x + 4

Now we can further factorize 7x^2 + 16x + 4 into (7x + 2) and (x + 2).

Therefore, the original function can be rewritten as (x - 1) (7x + 2) (x + 2).

Using the factorized form above, the zeros of the function are 1, -2/7, and -2.

time sheet 1:

dec 1 is 8 hours

dec 2 is 8.5 hours

dec 3, is 8.5 hours

dec 4 is 8.5 hours

dec 5 is 8. 5 hours

dec 6 is 4 hours

all together is 46 hours

so overtime is 6 hours

timesheet 2:

dec 9 is 8.5 hours

dec 10 is 8.5 hours

dec 11  is 5.5 hours

dec 12 is 9 hours

dec 13 is 10 hours

dec 14 is 7.5 hours

total hours is 49 hours

over time is 9 hours