Please help! My test is timed and im having trouble
Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.

A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.64 per pound. If cashews cost $5.80 per pound and peanuts cost $2.20 per pound, how many pounds of each must he mix?

The function \(f(x) = x^2-6x+1\) is an order 2 function. To make it to the perfect square, 8 units of tiles are added to the function.

Option C is correct.

The function can be defined as an expression that defines a relationship between one independent variable with another dependent variable.

The given function is \(f(x) = x^2-6x+1\).

The function needed more unit tiles to add so that it becomes a complete square.

The given function is an order 2 function, the side of the square will be order 1. Let's consider an order 1 function ax+b to be the side of the square. Also, consider that t number of tiles added to the order 2 function so that it can become the perfect square.

\(f(x) + t = (ax+b)^2\)

\(x^2 -6x + 1 + t = a^2x^2 + 2abx + b^2\)

By comparing the integers of both sides of orders, we get

\(a^2=1, \;2ab = -6, \; b^2 = 1+t\)

Putting the value of a to get the value of b,

\(2\times 1 \times b = -6\\b=-3\)

The value of t can be found out as,

\((-3)^2 = 1+t\\9 = 1+t\\t=8\)

Hence we can conclude that 8 units of tiles are added to make the function, a perfect square.

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Answer:

C

Please enjoy the sweet taste of victory!

:D

Answer:

-32

Step-by-step explanation:

To find w(-7) we have to substitute x with -7

w(x)=4x-4

w(x = -7) = 4(-7) -4

w(-7) = -28-4

w(-7) = -32

Answer: The purpose of this research is to explore the potential relationship between traditional religious beliefs and authoritarian tendencies. We are administering a questionnaire that will measure your views on various topics and ask about your religious beliefs. It is important to note that this research is not intended to judge or stereotype individuals based on their religious beliefs, but rather to gain a better understanding of how these beliefs may be related to certain personality traits. Your participation in this study is completely voluntary and your responses will be kept confidential. We understand that some of the questions may be sensitive in nature, and we want to assure you that your personal beliefs will not be used in any negative way. Your participation in this research will help us to better understand the relationship between religious beliefs and personality traits, and will contribute to the field of psychology.

Answer:

the answer is D

Step-by-step explanation:

the average score was 87%

Answer:

555

Step-by-step explanation:

two ways.

25/10=2.5 so 222x2.5=555

or

(222/10)x25=555

Answer:

555 pesos

Explain:

222+222 (20$)

222:2= 111

444+111= 555 pesos

Answer:

Step-by-step explanation:

A negative number raised to an even exponent gives a positive result so it is the same as 3 raised to 6. That is 3 x 3 x 3 x 3 x 3 x 3 = 729

The (-3) to the sixth power, (-3)⁶, is equal to 729.

To express (-3) to the sixth power in exponential form, we write it as (-3)⁶.

Now, let's calculate (-3)⁶ properly:

(-3)⁶ = (-3) * (-3) * (-3) * (-3) * (-3) * (-3)

Multiplying -3 by itself six times:

(-3) * (-3) * (-3) * (-3) * (-3) * (-3) = 729

Therefore, (-3) to the sixth power, (-3)⁶, is equal to 729.

By raising -3 to the power of 6, we obtain the result of 729.

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Answer:

what are the answer

Step-by-step explanation:

The equivalent expression is (2x - 1)(3x - 5)

From the information given, we have the quadratic equation written as;

6x² - 13x + 5

Using factorization, we have that;

Find the product of the coefficient of x squared and the constant.

Then, find the pair factor of the product that add up to -13

We have;

6x² - 10x - 3x + 5

Group the expression in pairs, we get;

2x(3x - 5) - 1(3x - 5)

Then, we have the expression, we have;

(2x - 1)(3x - 5)

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Answer:

6

Step-by-step explanation:

Since the  x coordinate is the same, we only have to look at the y coordinate

3 - -3 = 3 +3 = 6

The distance is 6

Answer:

6

Step-by-step explanation:

Notice that x does not change.  We do go from y = -3 to y = 3, so the distance between these two y-values is 3 - (-3) = 6

Answer:

66 67/100

Step-by-step explanation:

Answer:

Mix Number form: 66 2/3

Simplest Form: 6.66

Hope this helps.

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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Answer:

B

Step-by-step explanation:

He is multiplying both sides by 1/10

Answer:

324 people

Step-by-step explanation:

We can take 54% of 600 to find the answer to our problem.

54% becomes 0.54

600 * 0.54 = 324 people

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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Answer:

336

Step-by-step explanation:

12+12=24 the base

18+10=28 the height

1/2 * 28 * 24 =336

Answer:

Area is 336.

Step-by-step explanation:

A=1/2bh

A=1/2 * 12+12 * 10+18

A=1/2 *672

A=336

Step-by-step explanation:

To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.

The equation of the quadratic function, given the vertex V (4, 3) and point P (-4, 131), is:

f(x) = 2x² - 16x + 35 in standard form.

The equation of a quadratic function given the vertex V and a point P on the function we can use the vertex form of the quadratic equation:

f(x) = a(x - h)² + k

(h, k) represents the coordinates of the vertex.

Given:

Vertex V: (4, 3)

Point P: (-4, 131)

Using the vertex V (4, 3), we can substitute the values into the vertex form equation:

f(x) = a(x - 4)² + 3

Now, we can substitute the coordinates of the point P (-4, 131) into the equation:

131 = a(-4 - 4)² + 3

Let's solve this equation to find the value of 'a':

131 = a(-8)² + 3

131 = 64a + 3

128 = 64a

a = 128/64

a = 2

Substituting the value of 'a' into the equation:

f(x) = 2(x - 4)² + 3

Expanding and simplifying:

f(x) = 2(x² - 8x + 16) + 3

f(x) = 2x² - 16x + 32 + 3

f(x) = 2x² - 16x + 35

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Answer: 3 (C-7)+2(3c+4)​

Step-by-step explanation: Given

3(c - 7) + 2(3c + 4) ← distribute both parenthesis

= 3c - 21 + 6c + 8 ← collect like terms

= 9c - 13

 Total volume of the salt shaker is 56.52+706.5=763.02 cm³

The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.

Given here: The volume of a salt shaker  

The radius of the salt shaker which is 5 cm

Thus the volume of the cylinderical salt shaker is = π×3²×5²

                                                                                  =706.5 cm³

and the volume of the hemisphere at the top is=  (2/3)πr³

                                                                               =56.52 cm³

Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³

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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm

Answer:

The value of x = 0    

Step-by-step explanation:

Given

To determine

The value of x = ?

If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).

i.e. y → 5×4 =20

It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.

Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.

i.e. x → 4×0 = 0

Thus, the rule of dilation is:

P(x, y) = P'(4x, 4y)

Hence,

B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)

Thus,

The value of x = 0           ∵ 0×4 = 0

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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Let's use the variables x and y to represent the cost of a hot dog meal and a hamburger meal, respectively.

Then, we can write the following system of equations to describe the situation:

2x + 3y = 33 (Mrs. Dotson's purchases)

1x + 3y = 27 (Mr. Kent's purchases)

To solve this system of equations using elimination, we can multiply the second equation by 2 and subtract it from the first equation:

2x + 3y = 33

-2x - 6y = -54

0x - 3y = -21

Simplifying the equation, we get:

y = 7

Substituting this value of y into either equation, we can solve for x:

2x + 3(7) = 33

2x + 21 = 33

2x = 12

x = 6

Therefore, hot dog meals cost $6 each, and hamburger meals cost $7 each.

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Answer:

x=0

Step-by-step explanation:

We can first add 49 to both sides to get (x+7)^2=49

We can then take the square root of both sides and get x+7=7

Subtract 7 to both sides and you get x=0

Answer:

\(x=-14\text{ and } x=0\)

Step-by-step explanation:

We are given:

\((x+7)^2-49=0\)

And we want to solve for x.

First, we can add 49 to both sides:

\((x+7)^2=49\)

Now, we can take the square root of both sides. Since we are taking an even root, we will need plus-minus. Hence:

\(x+7=\pm\sqrt{49}\)

Evaluate:

\(x+7=\pm7\)

Subtract 7 from both sides:

\(x=-7\pm7\)

So, we have two solutions:

\(x=-7+7\text{ and } x=-7-7\)

Evaluate:

\(x=0\text{ and } x=-14\)

So, from least to greatest, our solutions are:

\(x=-14\text{ and } x=0\)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:

y - x = 3 (Expression that represents age difference between Fatimah and Nadia)

x + 3 = y, where x, y > 0 and y > x. (1)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

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Option D is the correct answer. all angles in a triangle are acute

A triangle in which all three internal angles of the triangle are acute is also called an acute-angled triangle.

Properties are Acute angles:

We have the formula to calculate the area of the acute angle triangle = (½) × b × h square units.

Where,

“b” is the base of the triangle.

“h” is to be the height of a triangle.

If the sides are given, then we have to apply Heron’s formula:

The area of the acute triangle:

A=√S(S-a)(S-b)(S-c)

square units

Where S defines the semi-perimeter of a triangle

The S can be solved by using the formula:

S = (a + b + c)/2

The perimeter of an acute triangle is equal to the sum of the length of the sides of a triangle,

The perimeter  is given as:

Perimeter = a + b + c

It is measured in units.

a, b, and c are the sides of the triangle.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Answer: M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)

Step-by-step explanation:

The slope is already given in the equation, which is 2

M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)