help me on this easy problem for 15 points

The quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c  ,9/2= a + b + c  and 11/2 = -a - b + c    .

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given:

The given points are

(1/2, 9/16) (1,9/2) (-1, 11/2)

According to given question we have

We know the basic quadratic equation are

[tex]y = ax^{2} + bx + c[/tex]

We have 3 points we can plug in for (x, y) to create 3 simultaneous equations

The equation are at the points

1. (1/2, 9/16)

1/2 = 81 a/256 - 9b/16 + c  

The equation are at the points

2. (1,9/2)

9/2= a + b + c  

The equation are at the points

3.  (-1, 11/2)

11/2 = -a - b + c      

Therefore, the quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c  ,9/2= a + b + c  and 11/2 = -a - b + c    .

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Answer:

x + [tex]x^{2}[/tex] = yz

Step-by-step explanation:

System of equations is represented by the matrix below is 2x + 3y = 2 and 12x  = -24

[2 3     2]

[12 0   -24]

This means 2x + 3y = 2 and 12x  = -24

How matrix is used to solve system of equation?

The matrix can be used to solve system of equation. it can be 3 by 3 matrix or 2 by 2 matrices.

The first rows of the matrix above represent the coefficient of the first equation and second row represents the second equation of the system of equations.

Matrices is the plural form of matrix, which is a rectangular array or table with rows and columns of numbers or elements. They can have as many columns and rows as they want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.

Matrices, the plural form of matrix, are the arrangements of numbers, variables, symbols, or expressions in a rectangular table with varying rows and columns. They are rectangular arrays with defined operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, while the vertical entries are referred to as columns.

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The  predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000

A. The predetermined overhead calculation

The formula = manufacturing overhead / direct labor

= 90000 / 120000

= 0.75

b. The balance in work sheet

Direct materials used 75,000 + Direct labor 120,000 + Balance, August 1 $ 41,000 + Manufacturing overhead applied (based on direct labor cost) 90,000

= $326,000

58,000 +  65,000 + 74,500 +  67,500 = 265000

The balance at the end of August = 326000 - 265000

= 61000 dollars

c. Applied overload = 0.75 x 24000

= 180000

direct material cost = 61000 - 24000 - 18000

= $19000

The summary of the solution is that the  predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000

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The force needed to lift an object that is 365 kg​ is calculated as; 3577 N

We are given the ratio as;

49N : 5 kg

This ratio means that 49 newtons of force represents 5 kg of mass. Now, we want to find the force required to lift an object with a mass of 365 kg.

Using the given ratio, we can say that the force that can lift a mass of 365 kg is calculated as;

(365 * 49)/5 = 3577 N

Thus, we conclude that the force needed to lift an object that is 365 kg​ is calculated as 3577 N.

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Step-by-step explanation:

She has 4 bookshelves and each one has 9 which makes

4x9 = 36

If she has two friends and they both take 3

2x3=6

how many books left?

36-6=30

which is

30/36 simplified is 5/6. Hope this helped you! :)

Answer:

The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).

Step-by-step explanation:

hopes this helps

answer 2

π

times as large as its radius.

The algebraic expression is x + y = -17

Given,

The sum of two numbers = -17

One number = x

We have to write an algebraic expression for the above condition:

Algebraic expression

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.

So, let’s find the algebraic expression:

Given that one number is x. We can take other number as y.

So, the expression will be like:

x + y = -17

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Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

Answer:

Incomplete question

Forgot to add how many tables

Step-by-step explanation:

Let's solve the equation step by step,

Step: Let's make an equation to find how many four person table are there

Let x represent for four person table and y for 8 person table,

4x + 8y = 56,

x+y=z

Answer:(0,-3)

Step-by-step explanation:

It's quite simple once you understand. First plug in values

if x=0 then y= -3, if x =1 then y=2. Plug in values based on the equation.

Since my first substitution is 0,-3, that is the one I will plot on a graph.

Hope it helps!!

Answer:

y = 5x - 3

Points: (0, -3) and (1, 2)

Step-by-step explanation:

y - 5x = -3

  +5x    +5x

y = 5x - 3

The starting point is at (0, -3)

Count up five then right 1

rise

-------

run

I hope this helps!

Answer: 4 People were at the dinner.

              Equation: 2x + 4 = 12

Step-by-step explanation: We know that there are 4 pieces left. So we can just take away 4 from 12. When that's done, we're left with 8 eaten slices. Then divide the 8 slices by the number of pieces per person. Therefore, 8/2 gives us 4.

I took algebra last year and loved it! I hope this helps!

The cost for using 40 HCF of water is $67.72

To solve this question, we use the following representations

Using the above representations, we have the following points

(x, y) = (14, 32.62), (48, 78.52)

For 40 HCF of water, we have

(x, y) = (40, y)

The slope of a linear equation is calculated using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (78.52 - 32.62)/(48 - 14) = 1.35

m = (78.52 - y)/(48 - 40)

Substitute m = 1.35 in m = (78.52 - y)/(48 - 40)

So, we have:

1.35 = (78.52 - y)/(48 - 40)

Evaluate the difference

1.35 = (78.52 - y)/8

Multiply both sides by 8

10.8 = 78.52 - y

This gives

y = 78.52 - 10.8

Evaluate the difference

y = 67.72

Hence, the cost for using 40 HCF of water is $67.72

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The length of KL with the given ratio is 25 units

The given parameters are:

IJ : JK : KL is equal to 2 : 5 : 5

IL = 60

Rewrite properly as:

IJ : JK : KL = 2 : 5 : 5

This means that the length of KL

KL = KL ratio/Sum of ratios * IL

So, we have

KL = 5/(2 + 5 + 5) * 60

Evaluate the sum

KL = 5/12* 60

Divide 60 by 12

So, we have

KL = 5 * 5

Evaluate the product

KL = 25

Hence, the length of KL with the given ratio is 25 units

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The present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02

The present value represents the discounted value of future cash flows over a period.

The present value can be computed using the PV table, formula, or an online finance calculator, as follows:

N (# of periods) = 7 years

I/Y (Interest per year) = 8.75%

PMT (Periodic Payment) = $71,000

FV (Future Value) = $633,642.98 ($497,000 + $136,642.98)

Results:

Present Value (PV) = $360,357.02

Sum of all periodic payments = $497,000 ($71,000 x 7)

Total Interest $136,642.98

Thus, the present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02

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There are 340.5g of protein in 1,362 gram box of pasta

12 gram serving of pasta contains 3g of protein

The number of protein in 1362 gram box of pasta can be calculated as follows

3/12 = x/1362

cross multiply

12x= 3×1362

12x= 4086

x= 4086/12

= 340.5

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Answer: -21

Step-by-step explanation: abs(-5) and abs (-15) just makes it positive, so the equation becomes -11 + (5) - (15), which equals -21.

Answer:

See explanation

Step-by-step explanation:

Yes

-7(3)(-10) + (-4) =

-7(-30) + (-4)=         ==> multiply 3 and -10

210 - 4=206

-7(3)(-10) + (-4) =

-21(-10) + (-4)=      ==> multiply -7 and 3

210 - 4=206

206=206 √

The value of ab = 1 in the two given equations with no solutions.

So, it is said that the two equations (ax - y = 0) and (x - by = 1) have no solutions.

Then,

Cross multiply:

Therefore, the value of ab = 1 in the two given equations with no solutions.

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The equation that models the balance y after x​ months is given by y = 1500 -150x,

Apparently, we have to assume that the balance is a linear function of the number of months that the payment is boing made.

We are given 3 points:

 (0, 1500), (6, 600) and (8, 300)

Any two of these can be used to write the equation of the line :

 y = (y₂  - y₁) / (x₂ - x₁) (x - x₁) + y₁

 y = (600 - 1500) / (6 - 0) (x - 0) + 1500

 y = - 900 / 6 x + 1500

 y = 1500 - 150 x

where x is the number of months.

Therefore, the equation that models the balance y after x​ months is given by y = 1500 -150x,

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Answer:

Step-by-step explanation:

Vertical opposite angles are equal to each other so

2x = 130

x = 65  (divide both sides by 2)

If checking account has $17,532,car (paid off) is $12,225,retirement savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.

Given that checking account has $17,532,car (paid off) is $12,225, retirement savings are $43,675,Credit Card Debt is $7,876,Home Loan Balance has $65,225.

We are required to find the net worth of the Tanner family.

Net worth is basically the value of the assets a person or corporation owns, minus the liabilities they owe.

Net worth=Checking account+Car +Retirement savings-credit card debt-Home loan balance

=17532+12225+43675-7876-65225

=$331

Hence if checking account has $17,532,Car (paid off) is $12,225 ,retirement Savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.

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The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

(1/4)(12x - 5.6) = 0.5(3x + 0.7)

Opening the bracket gives:

3x - 1.4 = 1.5x + 0.35

x = 7/6

The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6

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Answer: 75°

Step-by-step explanation:

Solution;

Here:. let, one angle be x

From the question ,

x+15=90(Being sum of complementary angle)

x=90-15

x=75

the one you highlighted is right!

Answer:

The highlighted one is correct!

Answer:

[tex]{ \tt{f(x) = - 10x - 18}} \\ { \tt{g(x) = - 3x}} \\ \\ { \tt{(f - g)(x) = ( - 10x - 18) -( - 3x) }} \\ \\ { \tt{(f - g)(x) = ( - 10x + 3) - 18}} \\ \\ { \tt{(f - g)(x) = - 7x + (3 - 18)}} \\ \\ { \tt{(f - g)(x) = - 7x - 15}}[/tex]

The height of the building is 99 meters.

The pole is 3.5m tall and cast a shadow of 1.26 metres long.

At the same time a nearby building casts a shadow that is 35.75m long.

Therefore, this will form a ratio.

The height of the building can be found as follows:

Establishing the ratio,

where

x = height of the building

3.5 / x =  1.26 / 35.75

cross multiply

35.75 × 3.5 = 1.26 × x

125.125 = 1.26x

divide both sides by 1.26

125.125 / 1.26 = 1.26x / 1.26

x = 125.125 / 1.26

x = 99.3055555556

x = 99 meters

Therefore, the height of the building is 99 meters.

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