Select the correct answer.
What is the y-intercept of f(x) = 3x+2?
O A.
(9,0)
O B.
(0,9)
O C.
(0,-9)
O D. (9,-9)

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: 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

Answer:

Step-by-step explanation:

61.407

Answer:

248.3

Step-by-step explanation:

61% of 407

61% = 0.61

0.61 * 407 = 248.27

248.27 = 248.3

248.3

Answer: 72.8 and 0.21

Answer:

72.8888888889

and

0.5142857143

Since f(x) appears to admit a local minimum at the point of abscissa zero, then the tangent drawn at that point must admit a slope equal to zero.

Answer:

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

Step-by-step explanation:

[tex]{ \blue{ \tt{option(d)}}} \: { \boxed{ \red{ \sf{181.097}}}}[/tex]

Step-by-step explanation:

[tex] \: \: \: \: 235.987[/tex]

[tex] - \: \: \: 54.89[/tex]

_______________

[tex]{ \boxed{ \red{ \sf{= 181.097}}}}[/tex]

angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

What in mathematics is a parallelogram?

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

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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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Answer:

(9+b)+(10+s)

Step-by-step explanation:

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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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 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:04,6and 12

Explation:factors are numbers which divide the original number without leaving a remainder.The factors are:1,2,3,4,6,8,12,16,32,48and 96

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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the one you highlighted is right!

Answer:

The highlighted one is correct!

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 required simplified solution for the given logarithm expression is y = 3 / 2x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the given expression,
ln(3) - ln(2) + ln(1/x) = ln (y)
ln(3) + ln(1/x) =  ln(2) + ln(y)
By the property of logarithm,
3/x = 2y
y = 3 / 2x

Thus, the required simplified solution for the given logarithm expression is y = 3 / 2x

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the measure of m22 =  98°  by linear pair .

What is  linear pair?

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Given ,    mz1 = (4x + 50)°

               mz3 = (2x + 66)°.

a)  mz1  =   mz3

     (4x + 50)° =  (2x + 66)°

      4x - 2x  = 66 - 50

           2x =   16°

             x = 8°

b)     mz3 = (2x + 66)°.

      put value of x

     2x + 66 = 2 * 8 + 66

                   = 16  + 66  ⇒    82°

c)  mz2 =  ∠ 1 + ∠ 2 = 180°               { linear pair }

                4x + 50 + ∠2 = 180°

                  4 × 8 + 50 + ∠2 = 180°

                  82° + ∠2  = 180°

                        ∠2 = 180° - 82°

                         ∠2 = 98°

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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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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 probability that the customer is at least 30 but no older than 60 is o.45, that the customer is either older than 60 or younger than 40 is 0.68 and that the customer is at least 60 is 0.22.

We have the data:

  Age                 Number of Customers

 < 20                                78

20 - 30                             58

30 - 40                             53

40 - 50                             77

50 - 60                             52

 > 60                                91

The probability that the customer is at least 30 but no older than 60 will be:

P = 182 / 409

P = 0.45

The probability that the customer is either older than 60 or younger than 40 will be:

P = 280 / 409

P = 0.68

The probability that the customer is at least 60 will be:

P = 91 / 409

P = 0.22

Therefore we get the probability that the customer is at least 30 but no older than 60 is o.45, that the customer is either older than 60 or younger than 40 is 0.68 and that the customer is at least 60 is 0.22.

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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 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 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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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.

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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Answer:

Step-by-step explanation:

Vertical opposite angles are equal to each other so

2x = 130

x = 65  (divide both sides by 2)