The equation y = 2.391x +57.420 models the taste rating of a cereal, y, in a survey, where x is the number of grams of sugar per serving.
What does the y-intercept of the equation represent in context of the situation?
A cereal with 0 grams of sugar has a rating of about 57.
A cereal with 0 grams of sugar has a rating of about 2.391.
The average number of grams of sugar is 57.
The average number of grams of sugar is 2.
D

Answer:

[tex] \rightarrow \sf \: −31[/tex]

Step-by-step explanation:

[tex] \rightarrow \sf \frac{1}{4} (4)-5(6)-2[/tex]

[tex] \rightarrow \sf \: \frac{1}{4} \times \frac{4}{1} - 30 - 2[/tex]

[tex] \rightarrow \sf \: 1 - 30 - 2[/tex]

[tex] \rightarrow \sf \: - 31[/tex]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

y = 7x , that is y = 7x + 0 ← in slope-intercept form

with gradient 7 and y- intercept (0, 0 )

--------------------------------------------------------------

y = 6x - 8 ← is in slope- intercept form

with gradient 6 and y- intercept (0, - 8 )

After solving the equation, x = 3/2 is the value of x in 2x = 3.

⇒ 2x = 3

⇒ x = 3/2

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about linear equations

brainly.com/question/14323743

#SPJ4

The amount after 10 years is $11,842.43

In continuous compounding the number of times by which compounding occurs tends to infinity.

In order to calculate the amount use the following formula

A= Pe^rt

where P represents the initial amount, e is the mathematical constant having value 2.7182, r is the rate of interest and t is the time period

Here the principal amount is $6000, r is 6.8 and time period t is 10 years

A = $6000 x 2.718⁽¹⁰ ˣ ⁶·⁸ %⁾

A = 6000 x 2.718⁽¹⁰ ˣ ⁶·⁸÷¹⁰⁰⁾  

A = 6000 x 2.718 x 0.68

A = $ 11,842.43

Therefore the total amount calculated after 10 years is $ 11,842.43

To learn more about compound interest refer here

https://brainly.com/question/25545513

#SPJ4

Answer:20

Step-by-step explanation:

Option c is correct i.e., |81 - ( -29)|

On January 1, the high temperature was 81 F in Kona and the low temperature was - 29 F in Barrow.

We have to find the difference between the two temperatures.

So the difference between is

    = 81 - (- 29)

    = 81 + 29

    = 110

Therefore the difference the two temperatures is 110.

To know more about the Temperature refer to the link given below:

https://brainly.com/question/24746268

#SPJ1

If Colton is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 44.35 meters. the height of the tree to the nearest hundredth of a meter. is 12.85 meters.

First step is to find the distance that he is horizontally from the top of the shadow

Distance = 44.35 meters - 39 meters

Distance = 5.35 meters

Second step is to make use of equal proportion and find the height

5.35/ 1.55 = 44.35/x

5.35x = 1.55 × 44.35

x=  1.55 × 44.35 /5.35

x= 12.849

x= 12.85 meters (Approximately)

Therefore If Colton is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 44.35 meters. the height of the tree to the nearest hundredth of a meter. is 12.85 meters.

Learn more about height here: https://brainly.com/question/1739912

#SPJ1

m = [tex]\frac{4}{25}[/tex]  0r m = [tex]-\frac{16}{15}[/tex]

|2m+3/5|=|1-3m/6|

Split into two equations

⇒[tex]2m + \frac{3}{5} = 1 - \frac{3m}{6}[/tex] or

⇒[tex]2m + \frac{3}{5} =-( 1 - \frac{3m}{6})[/tex]

[tex]2m + \frac{3}{5} = 1 - \frac{3m}{6}[/tex]

multiply both side of the equation by the common denominator

⇒2m × 30 + [tex]\frac{3 * 30}{5}[/tex] = 30 - [tex]\frac{3 m * 30}{6}[/tex]

⇒2m×30 + 18 = 30 -15m

⇒60 m + 18  = 30  -15m

⇒60m  + 15m = 30 - 18

⇒75m = 12

⇒m = [tex]\frac{12}{75}[/tex]

⇒m = [tex]\frac{4}{25}[/tex]

[tex]2m + \frac{3}{5} =-( 1 - \frac{3m}{6})[/tex]

reduce the fraction

⇒[tex]2m + \frac{3}{5} =-( 1 - \frac{m}{2})[/tex]  

remove brackets

⇒[tex]2m + \frac{3}{5} = - 1 + \frac{m}{2}[/tex]

multiply both side of the equation by the common denominator

⇒2m × 10 +  [tex]\frac{3 * 10}{5}[/tex] = -10 + [tex]\frac{ m * 10}{2}[/tex]

⇒2m × 10 + 6 = -10 + 5m

⇒20 m + 6 = - 10 + 5m

⇒20m - 5m = - 10 -6

⇒15m = -16

⇒m = [tex]-\frac{16}{15}[/tex]

we get,

m = [tex]\frac{4}{25}[/tex]  0r m = [tex]-\frac{16}{15}[/tex]

Equations with fractions involve solving equations where the unknown variable is part of the numerator and/or the denominator of the fraction.  

To solve equations with fractions we need to work out what the value of the unknown variable. We solve equations by using the “balancing method” by applying the inverse operation to both sides of the equation.

The inverse operation of addition is subtraction.

The inverse operation of subtraction is addition.

The inverse operation of multiplication is division.

The inverse operation of division is multiplication.

How to solve equations with fractions

In order to solve equations with fraction:

Identify the operations that are being applied to the unknown variable.

Apply the inverse operations, one at a time, to both sides of the equation.

Write the final answer, checking that it is correct.

learn more about equation with fraction here : brainly.com/question/12240039

SPJ9

The respective prices are given below as

The price of the sandwich is 20/3 dollars.

The salad may be purchased for a price of $16/3.

There is a fee of $2 for the drinks.

Let's say that the price of the sandwich is x.

Allow the price of salad to equal y.

Allow the price of drinks to equal z.

The new total for this meal is $46. It includes three sandwiches, three beers, and two salads. Thus;

3x + 3y + 2z = 40 ——- (eq 1)

The price of $29 covers two sandwiches, two drinks, and one salad.

Thus;

2x + 2y + z = 26 ——-(eq 2)

It will cost you $54 for four sandwiches, one drinks, and three salads. Thus;

4x + y + 3z = 38 ———-(eq 3)

The following are the results of concurrently solving the three equations:

x = 20/3

y = 16/3

z = 2

Therefore, the following is how much each item costs:

There is a charge of $20/3 for the sandwich.

The salad may be purchased for a price of $ 16/3.

There is a fee of $2 for the drinks.

You may get further information on simultaneous equations at the following link:

brainly.com/question/148035

#SPJ1

Answer:

If 0.65 is a decimal, then as a fraction it would be 65/100. This can be simplified though. 65 and 100 are both divisble by 5.

100 divided by 5 is 20 and 65 divided by 5 is 13. This is as simplified as it can go, so the answer is 13/20.

For clarification the answer is

13/20

Step-by-step explanation:

Answer: 26

Step-by-step explanation:

(-4)(-2)-6(2-5)=

-(-8)-6*2-6*(-5)=

-(-8)-12-(-30)=

8-12+30=

30+8-12=

38-12=26

[tex]\displaystyle\\Answer:\ I=\sqrt{\frac{M}{7} }[/tex]

Step-by-step explanation:

Answer: 118728

Step-by-step explanation:

You can just simply find this answer using a calculator.

Answer: 78

Step-by-step explanation: multiply 44 by 2 because there are two sides on the rectangle and then you add 5 and 5 because yet again there are two sides so when you get your answer subtract 10 from the 88 and then you get 78 there is your explanation and equation

Rectangle with perimeter 44 ft has its length and breadth 13 ft and 9 ft respectively.

Dimension of rectangle : 13 × 9

Given, that perimeter of rectangle is 44 ft .

Now, perimeter of rectangle is given by:

P = 2(l + b)

l = Length of rectangle .

b = Breadth of rectangle.

Let the breadth of rectangle be 'x' m.

Then length will be (2x -5) ft.

Substitute the values in the perimeter formula,

[tex]44 = 2(x + 2x -5)\\22 = 3x -5\\x = 9[/tex]

Thus the breadth of rectangle is 9 ft .

Length of rectangle is 5 ft less than twice its breadth.

Length = 2(9) - 5

Length = 13 .

Therefore the dimensions of rectangle is 13 × 9.

Know more about rectangle,

brainly.com/question/29123947

#SPJ7

The volume of the tepee is 100.48 feet³

The formula for the volume of tepee is same as the volume of cone which is given as :

               V = 1/3 πr²h        (1)

where V = volume

           r = radius of the tepee

           h = height of the tepee

According to the question we have been given that

            radius = 4 feet

             height = 6 feet

Putting the required values in equation (1) we get

                V = 1/3 π (4)²(6)

                   = 1/3 (3.14)(96)

                   = 301.44/3

                   = 100.48 feet³

Hence the volume of the tepee is  100.48 feet³

Learn more about volume of cone here : https://brainly.com/question/13677400

#SPJ9

Answer:

-21/8

Step-by-step explanation:

3 (3/8) * -7/3

= 9/8 * -7/3

= 3/8 * -7

= -21/8

Answer: The decimal equivalent to 2/9 = 0.22

Step-by-step explanation:

Define Decimal equivalent :

The decimals with the same number of decimal places are called like decimals. Equivalent decimals are decimal numbers that have the same value. For example, 3.42, 6.05 are like decimals as they have two decimal places. For example, 0.3 and 0.30 are equivalent decimals as they present the same value.

How do you find the equivalent decimal?

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division.

Given data,

Find the decimal equivalent to 2/9.

To get a fraction into a decimal you have to divide the fraction. I was taught since the 2 is the numerator, it gets divided out of and the 9 is what you're dividing the 2.

so, we can write,

                        x = 2/9

where,          numerator = 2

                     denominator = 9

Then, x = 2/9 = 0.22

Therefor, the decimal equivalent to 2/9 = 0.22

Learn more about event correlation here: brainly.com/question/28444671

#SPJ9

The answer after simplification is 48[tex]\sqrt{2}[/tex]

We are required to simplify two values in square root form

Given values are :

4[tex]\sqrt{32}[/tex]+4[tex]\sqrt{128}[/tex]

4([tex]\sqrt{32}[/tex]+[tex]\sqrt{128)}[/tex]

Now we know that

32= [tex]2^{5}[/tex]

128=[tex]2^{7}[/tex]

Putting these values inside the square root,

we know that square root is to the power 1/2

our equation becomes

4([tex]\sqrt{2^{5} } +\sqrt{2^7[/tex])

removing the square root,
4([tex]2^{5/2}+2^{7/2}[/tex])

Now we know that 4 is 2 to the power 2 , and taking 2^5/2 as common, we get:

[tex]2^{2}*2^{5/2}(1+2^{2/2})[/tex]

16[tex]\sqrt{2}[/tex](3)

=48[tex]\sqrt{2}[/tex]

The answer after simplification is 48[tex]\sqrt{2}[/tex]

#SPJ4

Answer:

28 points

Step-by-step explanation:

Answer: 161+7n

Explanation: Let the number be n.

7(23+n)

=161+7n

Hope this helps you! Have a great day!!!!! :) :D

x=3.4

Im writing this bc the app says the answer is too short

The domain is all real numbers where x does not equal -2 and the range is all real numbers where f(x) does not equal -8

The domain of the function is the set of input values of the graph while the range of a function is the set of output values of the graph.

The given parameter is:

f(x) = (x^2 - 4x - 12)/(x + 2)

Based on the definition above, the range of a function is the set of y values of the graph while the domain is the set of x values of the graph

Set the denominator not equal to 0

So, we have

x + 2 ≠ 0

Evaluate

x ≠ -2

This means that the domain is all real numbers where x does not equal -2

For the range, we use a graphing calculator

From the graphing calculator, we have

f(x) ≠ -8

This means that the range is all real numbers where f(x) does not equal -8

Hence, the domain is all real numbers where x does not equal -2 and the range is all real numbers where f(x) does not equal -8

Read more about domain and range at

brainly.com/question/2264373

#SPJ1

Complete question

What are the domain and range of the function f(x) = (x^2 - 4x - 12)/(x + 2)

Answer:

M(-3;3/2)

Step-by-step explanation:

substitute in this formula of finding midpoint coordinate:M(x1+x2÷2;y1+y2÷2)

Answer/Step-by-step explanation:

f(6) = 3x² - 5

f(6) = 3(6)² - 5

f(6) = 3(36) - 5

f(6) = 108 - 5

f(6) = 103

(x, y) = (6, 103)

I hope this helps!

Graham drove 32.58 miles in one hour and it took 1.84 minutes to drive a mile

Miles Graham drove in 13 hours = 423 miles

Unitary method: A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. It is a technique that we employ for the majority of math calculations.

Part a:

Miles driven in one hour = Total miles driven/Total no. of hours taken

= 423/13 = 32.58 miles

Part b:

Hours took to drive a mile = Total no. of hours taken/ Total miles driven

= 13/423  = 0.030 hours or 1.84 minutes

Learn more about the unitary method:

https://brainly.com/question/28276953

#SPJ9

Answer: x  ≤ 4.5

Step-by-step explanation:

Since the inequality goes left and has a closed circle it would be x  ≤ 4.5