what is the x-intercept of the line with this equation 8x - 1/3y = 15?

Hey there!!

The question states that a sum is invested which is $3000 and hence, this would be counted as the principle amount or the principle sum.

The term given is 3 years, which gives us the idea that this interest is being counted or being active for 3 years.

She ( Diana ) earned the sum $450 at the end of three years. This means, the simple interest is $450.

Never get confused with the principle amount, principle sum and interest.

Principle amount = Principle sum + The interest.

Formula given :

I = prt

'p' is denoted as the principle sum, r is the rate and the t is the term or the number of years.

Now, plugging in all the values :

... 450 = 3000×r×3

... 450 = 9000×r

... r = 450 / 9000

... r = 0.05

... r = 5%

As we need the answer in the decimal form, the answer would be 0.05

Hope my answer helps!!

180° rotation about the origin changes the signs of the coordinates.

(x, y) → (-x, -y)

It is a reflection over the y-axis and a reflection over the x-axis (in either order).

You did not provide the options so hopefully you can figure out the answer based on the information I provided.

Answer:

The transformation of the triangle MNO will be first a reflection respect to the x-axis and second a reflection over the y-axis.

Step-by-step explanation:

By definition a coordinate transformation from 180° rotation round the origen can be expressed as:

(x,y) ---> (-x,-y)

On the other hand, the coordinate transformation of the reflection over x- axis is:

(x,y) ---> (x,-y)

And the reflection over the y-axis of the this transformation is:

(x,-y) ---> (-x,-y)

That result the same transformation than the 180° rotation.

Afaik you just plug these into y=mx+b (slope intercept form)

I would think the answer to be y = (-3/5)x + 4

Answer:

y=-3/5x+4

Step-by-step explanation:

y=mx+b

The regular price of the jeans was $50. We know this because he saved $20 when the pants were 40% off so for every 10% percent it is $5, so 100% is $50 if that makes sense, if you need more thorough explanation let me know. :)

We are given statement:  "In order to earn credit for your Algebra 1A course, you must earn at least 70%."

We need to define a variable and write an inequality for the given situation.

Let us assume variable for now for earn credit = c.

Now, we can repharse the given statement as " earn credit c must be atleast 70%".

Therefore, we can write the inequality for above rephared statement as :

c ≥ 70 : Read as c is greater than 70.

Answer:

The answer is A) When you want to change cars frequently.

Step-by-step explanation:

Answer with explanation:

Car lease means you don't want to buy the car , you want to use it for various Purposes or you love riding or driving different cars.

⇒Changing cars completely ,means you are interested in distinct brand of cars that is in leasing.

⇒When you want to keep a car for several years , it means you love that thing and either you don't have enough money to buy or you are in two minds ,so either you lease it or take a loan for that thing.

⇒When you like the idea of owning a car, it means you take loan for it,not to lease it.

¬Option A  is most appropriate.

   When you want to change cars frequently

The Equation ( x= 11): 3x + 3 = 2(x + 7) and 6(x + 2) - x = 4(x + 4) + 7

The Equation ( x= 3): 0.8x + 5 = 0.2(40 - x), 2(x - 5) + 7 = x and

                                    ½(x + 8) + 3/2x = 10

The Equation ( x= 1/2): 5(x - 1) - 6x = -11x and ½x + 1/4 = x

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1.  0.8x + 5 = 0.2(40 - x)

Solving for x, we get

0.8x + 5 = 0.2(40 - x)

0.8x + 5 = 8 - 0.2x

x + 5 = 8

x = 3

2. 2(x - 5) + 7 = x

Solving for x, we get

2(x - 5) + 7 = x

2x - 10 + 7 = x

2x - 3 = x

-3 = -x

3 = x

3. 3x + 3 = 2(x + 7)

Solving for x, we get

3x + 3 = 2(x + 7)

3x + 3 = 2x + 14

3x = 2x + 11

x = 11

4.  5(x - 1) - 6x = -11x

Solving for x, we get

5(x - 1) - 6x = -11x

5x - 5 - 6x = -11x

5x - 6x = -11x + 5

5x - 6x + 11x = 5

10x = 5

x = 1/2

5.  6(x + 2) - x = 4(x + 4) + 7

Solving for x, we get

6(x + 2) - x = 4(x + 4) + 7

6x + 12 - x = 4x + 16 + 7

5x + 12 = 4x + 23

5x = 4x + 11

x = 11

6.  ½(x + 8) + 3/2x = 10

Solving for x, we get

½(x + 8) + 3/2x = 10

½x + 4 + 3/2x = 10

½x + 3/2x = 6

2x = 6

x = 3

7.  ½x + 1/4 = x

Solving for x, we get

½x + 1/4 = x

1/4 = ½x

½ = x

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7 squared is 49, and 9 squared is 81. 49+81=130   7,9 are your answers

The correct answer is coplanar

EXPLANATION

Coplanar means the three points A , B and Q are on the same plane.

They are not colinear, because they are not in a straight line. It is only A and Q that are on the same straight line. If B had fallen in line with them, the three points would have been collinear as well.

Answer:

the answer is coplanar

Step-by-step explanation:

I’m pretty sure the answer is B. Add 15 to 73. Divide 88 by 8 to get 11. A>11

Answer:

For four days it would be $19.8. For seven days it would be $24.9

Step-by-step explanation:

4 days:

$4.70 x 4 + 1= 19.8

7 days:

$4.70 x 7 = $24.9

I took away 1 from the 4 day equation because the question said you get a dollar off if you return the dvd before 5 days.

Hope this helps!

~Starr

662.46 is your answer

The required Kendall's monthly mortgage payment is $662.14.

Simple interest is defined as the percentage of earnings on the lending for a period of time.

Here,
Kendall's down payment is 12% of $119,000, which is:

0.12 * $119,000 = $14,280

So the amount she is financing is:

$119,000 - $14,280 = $104,720

To calculate her monthly mortgage payment, we can use the formula for a fixed-payment loan:

[tex]M = P * (r / (1 - (1 + r)^{-n}))[/tex]

First, we need to calculate the monthly interest rate. The annual interest rate is 4.5%, so the monthly interest rate is:

4.5% / 12 = 0.375%

Next, we need to calculate the total number of monthly payments. Kendall has a 20-year loan, which is:

20 years * 12 months/year = 240 months

Now we can plug in the values and solve for M:

[tex]M = $104,720 * (0.00375 / (1 - (1 + 0.00375)^{-240}))[/tex]

M = $662.14

So Kendall's monthly mortgage payment is $662.14.

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Answer : C

[tex]f(x)= \sqrt{x}[/tex]

[tex]g(x)= \sqrt{x-5}[/tex]

Parent function is f(x). In g(x) 5 is subtracted from x

If any number is added or subtracted from x, then we move left or right

When a number 'a' is added with x  then we shift 'a' units to the left

When a number 'a' is subtracted from x  then we shift 'a' units to the right

f(x) is our parent function. Here 5 is subtracted from x to get g(x)

For -5, the graph of g(x) is the graph of f(x) shifted right 5 units

the first answer would be C

the next 3 questions are ACB

To complete the square for the equation x²-7x = 5, you need to add 12.25 to both sides of the equation, leading to the equation (x - 3.5)² = 17.25.

To complete the square in the equation x²-7x = 5, we will need to find a term (b) to add to both sides where b is one-half of the number being subtracted from x² (-7), squared.

First, we will take half of 7 which equals 3.5. Squaring 3.5, we get 12.25. Therefore, we add 12.25 on either side to complete the square.

The equation then becomes x² - 7x + 12.25 = 5 + 12.25, which simplifies to (x - 3.5)² = 17.25. This represents a completed square.

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To complete the square for the equation [tex]x^2-7x=5[/tex], you need to add 12.25 to both sides. This forms a perfect square trinomial (x - 3.5)² on the left side of the equation and results in the number 17.25 on the right side.

The provided equation is a quadratic equation (it's in the form of ax² + bx + c = 0), and you're asked to complete the square.

In order to complete the square, you take half of the coefficient of the 'x' term (which is -7 in this case), square it and add it to both sides of the equation. So, half of -7 is -3.5, and -3.5² equals 12.25.

Therefore, adding 12.25 to both sides of the equation completes the square and forms a perfect square trinomial on the left:

[tex]x^2 - 7x + 12.25 = 5 + 12.25[/tex]

Which simplifies to:

[tex](x - 3.5)^2 = 17.25[/tex]

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Answer:

a) The slope is : 3.333

b) [tex](y-92)=3.333(x-4)[/tex]

c) [tex]y=3.333x+78.66[/tex]

Step-by-step explanation:

a) - The formula to calculate the slope is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

- Use the given points to calculate the slope:

[tex]y_{2}=82\\y_{1}=92\\x_{2}=1\\x_{1}=4[/tex]

[tex]m=\frac{82-92}{1-4}\\m=\frac{10}{3}\\m=3.333[/tex]

b) - The equation of the linear model in point-slope form is:

[tex](y-y_{1})=m(x-x_{1})[/tex]

Where [tex]m[/tex] is the slope and [tex]x_{1},y_{1}[/tex] are the coordinates of a point.

- Substitute values:

[tex](y-92)=3.333(x-4)[/tex]

c) - The equation of the linear model in slope-intercept form is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

- Let's find [tex]b[/tex]. Use one of the points given in the problem to solve for [tex]b[/tex]:

[tex]92=3.333(4)+b\\b=92-13.332\\b=78.66[/tex]

- Therefore, the equation is:

[tex]y=3.333x+78.66[/tex]

The slope-intercept form of a line: y = mx + b

m - slope, b - y-intercept

We have:

y-intercept = -8. Substitute:

y = mx - 8

x-intercept = -6 for y = 0. Substitute:

0 = m(-6) - 8

0 = -6m - 8      |+6m

6m = -8    |:6

m = - 8/6

m = - 4/3

Answer; y = - 4/3 x - 8

According to picture Jennifer’s grandmother buys = 28 kg of carrots.

Total number of grandchildren = 3.

Number of kilograms of carrots are distributed equally.

In order to find the Number of kilograms of carrots are distributed, we need to divide total Kgs of carrots by total number of grandchildrens.

Therefore ,

28 ÷ 3 .

On dividing 28 by 3, we get 7.

Therefore, Jennifer will get 7 kilograms of carrots.

Answer:

hours worked; amount of money earned; 0 to 30; $0 to $330

Step-by-step explanation:

Let

y ----> the amount earned per week

x ----> the number of hours worked by week

In this problem

the amount earned per week (variable y) represent the dependent quantity

the number of hours worked by week (variable x) represent the independent quantity

therefore

The domain is the interval -----> [0,30] (the maximum number of hours per week is 30)

The range is the interval -----> [0,11*30] ----> [0,330] (the maximum amount earned per week is $330)

therefore

independent quantity is hours worked

dependent quantity is amount of money earned

domain is 0 to 30

range is $0 to $330

Final answer:

The independent quantity is hours worked and the dependent quantity is the amount of money earned, with a domain of 0 to 30 hours and a range of $0 to $330.

Explanation:

In the given scenario where Uan earns $11 per hour and works at most 30 hours per week, the independent quantity is the hours worked, and the dependent quantity is the amount of money earned. This is because the money earned depends on the number of hours worked.

The domain represents the possible values of the independent variable, which is the hours worked. In this case, it is reasonable to assume that Uan could work anywhere from 0 to 30 hours per week. Therefore, the domain is 0 to 30 hours.

The range represents the possible values of the dependent variable, which is the amount of money earned. Since Uan earns $11 per hour, working 0 hours would yield $0, and working the maximum of 30 hours would yield $330 (30 hours × $11 per hour). Thus, the range is $0 to $330.

The correct answer to the student's question, based on the information, would be: hours worked; amount of money earned; 0 to 30; $0 to $330.

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

[tex]\frac{x}{\frac{3}{4} }[/tex]

The quotient was a whole number

so, we get

[tex]\frac{x}{\frac{3}{4} }=n[/tex]

now, we can solve for x

[tex]\frac{3}{4}\times \frac{x}{\frac{3}{4} }=\frac{3}{4}\times n[/tex]

[tex]x=\frac{3n}{4}[/tex]

where n is whole numbers

At n=0:

[tex]x=\frac{3*0}{4}[/tex]

[tex]x=0[/tex]

here , x is not fraction

so, n=0 is not possible

At n=1:

[tex]x=\frac{3*1}{4}[/tex]

[tex]x=\frac{3}{4}[/tex]

At n=2:

[tex]x=\frac{3*2}{4}[/tex]

[tex]x=\frac{3}{2}[/tex]

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer

Answer:

Let's assume

Let's assume that fraction as 'x'

and whole number as 'n'

Olivia divided a fraction by 3/4

so, we get

The quotient was a whole number

so, we get

now, we can solve for x

where n is whole numbers

At n=0:

here , x is not fraction

so, n=0 is not possible

At n=1:

At n=2:

we know that x is dividend

and x can be equal to 3/4

and greater than 3/4

But it can not be less than 3/4..............Answer

Step-by-step explanation:

Answer is A

12+x

____. =0.70

24+x

Answer:

A

Step-by-step explanation:

Currently, Andy has a winning record of 50%.

12 /24  = 0.50

To determine a winning record of 70%: add x matches to 12, x matches to 24, and set equal to 0.70.

12 + x /24 + x  = 0.70

x = 16

Therefore, Andy would need to win 16 matches in a row.

One number is six times as large as a certain smaller number.

i.e., Y  = 6x

Answer is 6x

The larger number in terms of x is 6x.

To write the larger number in terms of x, we know that the larger number is six times as large as the smaller number. Let x represent the smaller number, so the larger number can be written as 6x.

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The sum 1 + 3 + 5 + + 7 + 9 + ... + 39 in sigma notation is represented as ∑(from n=1 to n=20)[1 + (n-1)*2]. This notation communicates the series' progression and key characteristics.

The sum 1 + 3 + 5 + + 7 + 9 + ... + 39 can be represented in sigma notation as follows: Let the general term of this arithmetic series be a_n = 1 + (n-1)*2, where n is the term number. This formula is for a sequence where the difference between each number is 2 (an arithmetic sequence). Thus, the series 1 + 3 + 5 + + 7 + 9 + ... + 39 in sigma notation can be written as ∑(from n=1 to n=20)[1 + (n-1)*2]. Here, n = 1 is the starting point, n = 20 is the end point which is calculated by (39-1)/2 + 1 because the sequence is an arithmetic sequence with common difference 2 and first term 1, and 1 + (n-1)*2 is the formula for the nth term.

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The sum 1 + 3 + 5 + ... + 39 can be written in sigma notation as Σ(1 + (i - 1)2) for i from 1 to 20.

To express the sum 1 + 3 + 5 + 7 + 9 + ... + 39 in sigma notation, we first need to realize that this is an arithmetic series where each term increases by 2. The first term a1 is 1, and the common difference d is 2. We can find the number of terms n in the series by using the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d.

Since 39 is the last term, we have 39 = 1 + (n - 1)2, which simplifies to n = 20.Now we know our series goes from the 1st term to the 20th term, and the formula for the ith term is ai = 1 + (i - 1)2. Therefore, the series in sigma notation is written as:  Σ(1 + (i - 1)2) for i from 1 to 20.

There 2 which are correct

13/3 - 4/6

= 13/3 - 2/3

=  11/3

and

3/2 - 1/6

= 9/6 - 1/6

= 8/6

= 4/3

Answer: 100

Step-by-step explanation:

[(25 - 11) + (15 - 9)] * 5

=[    14      +      6    ] * 5

=             20             * 5

=                     100