Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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Answer(may be wrong but I tried):

mFG=195 and mEG=195

Step-by-step explanation:

If mEF=80 That means to find G we need to solve 195-80, which is 115 so G=115. I am assuming that since mEF=80 both are 40, so mFG is 40+115=195

mEG= 40+115 which is also 195

Answer:

78

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

The paint cans and the spaces serve as examples of equivalent ratios. 5.5 cans of paint will be required to cover 2200 sq. unit.

Two ratios that have the same values are said to be equivalent. The same number can be used to multiply or divide both sums to get an equivalent ratio. The method is the same as determining equivalent fractions. When two or more ratios are reduced to their most basic form, they have the same value. Examples of equivalent ratios are 1:2, 2:4, and 4:8. In their most basic form, all three ratios have the same value, which is 1:2. They are in proportion if two ratios are equal. Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same.

To paint a 2200 square unit space, 5.5 cans are required.

The given parameter is:

Cans: Area\(=1:400\)

Express as fraction

Cans/Area\(=1/400\)

Multiply both sides by Area

Cans\(=\frac{1}{400}*Area\)

When the area is 2200, we have:

Cans\(=\frac{1}{400}*2200\)

Cans\(=5.5\)

5.5 cans are therefore required to paint a 2200 units square space.

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The half-life of tritium is approximately 16.03 hours.

We can use the formula for exponential decay: A = A0 * e^(-kt)

where: A0 = initial amount,A = final amount,k = decay constant,t = time

Since we know that after 4 hours, the amount of tritium left is 80 mg, we have: 80 = 100 * e^(-k*4)

Dividing both sides by 100, we get: 0.8 = e^(-4k)

Taking the natural logarithm of both sides, we get: ln(0.8) = -4k

Solving for k, we have:

k = -ln(0.8)/4 = 0.0432

the half-life of tritium is approximately 16.03 hours.Let's call the half-life t1/2. Then we have: 0.5A0 = A0 * e^(-kt1/2)

Dividing both sides by A0, we get:

0.5 = e^(-kt1/2)

Taking the natural logarithmic of both sides, we get:mln(0.5) = -kt1/2

Substituting the value of k we found earlier, we have:

ln(0.5) = -0.0432t1/2

Solving for t1/2, we get:

t1/2 = -ln(0.5)/0.0432 = 16.03 hours

Therefore, the half-life of tritium is approximately 16.03 hours.

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This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.

Answer:

295.2 cm³

Step-by-step explanation:

A Rectangular Prism is a 3 dimensional geometric shape.

The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height

Length = 15cm

Height = 4.8cm

Width = 4.1cm

Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm

= 295.2 cm³

Answer:

295.2

Step-by-step explanation:

Got it right on the test. Your welcome and have a great day and God bless you all.

Answer:

true

Step-by-step explanation:

3rd quadrant sine is (-)

4th quadrant sine is (-)

The values for "Y" correspond to the chosen "X" values are \(-0.0625,-0.25,-1,-0.25,-0.0625\)

A function, also known as the domain and the range, is a fundamental idea in mathematics that represents the relationship between two sets of elements. Each element in the domain is paired with a different element in the range.

A function is, more precisely, a rule or a correspondence that links every input value from the domain to precisely one output value from the range. The variable x normally represents the input values, and the variable y or f(x) typically represents the corresponding output values.

A function can be envisioned as a device that accepts an input and outputs a particular result in accordance with the rule or operation specified by the function. Only the input value influences the output, and each

Calculating the corresponding values of "X" and "Y" for each row is necessary to finish the table for the function \(h(x) = -(1/4)x\). I am not able to choose the missing values because the table is not provided. But I can explain to you how to figure out the function's values.

A function that depicts an exponential function is \(h(x) = -(1/4)x\). You can use the provided function to find the values by selecting a range of "X" values and determining the corresponding "Y" values.

Let's pick a range of "X" values from \(-2 to 2\), for illustration:

when \(x = -2:\)

\(h(-2) = -(1/4)^(-2) = -(1/4)^2 = -(1/16) = -0.0625\)

when \(x = -1:\)

\(h(-1) = -(1/4)^{-1} = -(1/4)^1 = -1/4 = -0.25\)

when \(x = 0:\)

\(h(0) = -(1/4)^0 = -1^0 = -1\)

when \(x = 1:\)

\(h(1) = -(1/4)^1 = -1/4 = -0.25\)

when \(x=2:\)

\(h(2) = -(1/4)^2 = -1/16 = -0.0625\)

These are the values for "Y" corresponding to the chosen "X" values. Depending on the table, you can select the appropriate values to complete it.

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A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.

A type of statistical hypothesis known as a null hypothesis claims that a particular collection of findings has no significance in statistics. The viability of theories is evaluated using sample data. an an an a The assumption made by researchers is that there is some connection between the factors. The null hypothesis, on the other hand, asserts that such a relationship does not exist. Although it might not seem significant, the null hypothesis is an important part of study.

"h1: 1 > 2" denotes the direction of the study. Indicating that one variable (1) will have a higher impact or value than the other variable (2), this hypothesis forecasts the direction of a connection between the variables under study. (2). A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.

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Answer:

If I am not mistaken the number is 54,810.

Hope I helped.

The other three sides of the patio will be represented by one line with a slope of 2/3 and two lines with a slope of  -3/2.

The general equation of a straight line is -

y = mx + c

Given in the question is a equation that describes the one side of a rectangular patio. From the question, we can write -

Equation representing a side of Patio - y = 2/3x + 5/3

If we compare the equation representing a side of Patio with the general equation of line, we get -

y = 2/3 x + 5/3      

[y] = [m] x + [c]

From this we can conclude that -

m = 2/3 = slope of line

c = 5/3 = y - intercept

The patio is in the shape of a rectangle. Therefore, the side opposite to the line of slope → 2/3 will be equal in length and parallel to it. We know, that the slope of two parallel lines are same. So, the slope of line parallel to  y = 2/3x + 5/3  will be 2/3.

The remaining two sides are perpendicular to both the side of slope → 2/3. The remaining sides are also parallel to each other, indicating they both have same slope. The slope of a line perpendicular to a given line (L) is given by -

m [p] x m [L] = -1

m [p] = - 1 / m [L]

m [p] = - 3/2

Therefore, the remaining two sides will have slope of  -3/2.

Therefore, the other three sides of the patio will be represented by one line with a slope of 2/3 and two lines with a slope of  -3/2.

[Refer to the graph attached]

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Answer:

\(\sqrt{41}\)

Step-by-step explanation:

Answer:

\(y=-2x+6\)

Step-by-step explanation:

Equation of the line

First, we find the slope of the line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The two points are (1,4) and (2,2), thus:

\(\displaystyle m=\frac{2-4}{2-1}=\frac{-2}{1}\)

\(m=-2\)

The equation of a line passing through (h,k) and slope m is:

\(y-k=m(x-h)\)

\(y-4=-2(x-1)\)

Note we used the point (1,4). If we used the other point, the result would have been the same. Operating the equation:

\(y-4=-2x+2\)

Adding 4:

\(y=-2x+6\)

The slope-intercept form of the line is

\(\boxed{y=-2x+6}\)

Answer:

0, 16, and 2

Step-by-step explanation:

if tou find the zeros that are on the x-axis then y =f(x) =0

5x*(x-16)²(x-2)² =0

use de zero product rule and make each term = to 0 and find x

5x=0 so x=0/5 = 0

(x-16)² = 0 is x-16 = 0 so x=16

(x-2)²=0 is x-2=0 so x=2

Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

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

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Answer:

1. Identify problem 2. Identify plan 3. what might happen... 4.work the strategy

5.Measure can i have brainiest

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9*4 = 36

9*9 = 81

divide both by 9 and you get 4:9

The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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The interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.

Given

Data represented as a number of hours spent studying by Group A Students:

1, 2, 1, 1, 3, 3, 2, 2, 3

Arranging it in ascending order: 1, 1, 1 ,2, 2, 2, 3, 3, 3,

As a number of terms are odd,

The median will be the middle value of observation.

Which is 2.

The interquartile range (IQR) is the range of values that resides in the middle of the scores.

The Data arranged in ascending order are; (1,1,1,2,2,2,3,3,3).

Median of (1, 1, 1, 2) = 1 \(\rm Q_1=1\)

Median of (2, 3, 3, 3) =3 \(\rm Q_3=3\)

Interquartile Range = \(\rm Q_3-Q_1\) = 3- 1 =2

For Data Set 2,

The Data for group B students are:  3   2 3 2 2 2 1 1 2

Arranging in ascending order: 1,1,2,2,2,2,2,3,3

The total number of observation = 9

Median = 2

Arranging the data as : (1,1,2,2) 2,(2,2,3,3)

Median of (1,1,2,2)= Number of observations is 4 which is even;

\(\rm Median = \dfrac{1+2}{2}\\\\Median = \dfrac{3}{2}\)

Median of (2,2,3,3) = \(\rm Q_3=\dfrac{3+2}{2} = \dfrac{5}{2}\)

S = Interquartile Range = \(\rm Q_3-Q_1=\dfrac{5}{2}-\dfrac{3}{2}= \dfrac{2}{2}=1\)

\(\rm D_1=S+1\)

The interquartile range for Group A Students =Interquartile range for Group B students + 1.

Hence, the interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.

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Answer:

Step-by-step explanation:

You'll need to learn the formula for the circumference of a circle.  If the radius is r, the circumference C is C = 2πr.  It appears that your teacher is using pi for the exact circumference and 3.14 for the approximate circumference.

The radius of the first circle is 5 in.  Thus, the exact circumference is

C = 2πr = 2π(5 in) = 10π in, and the approximate circumference is

C = 2(3.14)(5 in) = 31.4 in

Answer:

see explanation

Step-by-step explanation:

assuming the equation is

T = 2π\(\sqrt{\frac{a}{b} }\)  ( divide both sides by 2π )

\(\frac{T}{2\pi }\) = \(\sqrt{\frac{a}{b} }\) ( square both sides to clear the radical )

( \(\frac{T}{2\pi }\) )² = \(\frac{a}{b}\) , that is

\(\frac{T^2}{4\pi ^2}\) = \(\frac{a}{b}\) ( cross- multiply )

b T² = 4aπ² ( divide both sides by T² )

b = \(\frac{4a\pi ^2}{T^2}\)

Answer:

About 9 sq yd

Step-by-step explanation:

First, you know that 3ft. = 1 yd. That means each square is 1 sq yd. The length of the herb garden is 6 squares, while the width is about 1.5 squares. If you multiply those two to find the area, then you get about 9 square yards.

Answer:

Hi, I'm getting confused as what you're trying to imply here. But I'll assume that it's 90% of 45. In this case.

Step-by-step explanation:

90% * 45 = 40.5

Therefore: 40.5 (final answer)

Cheers! :)

a) The test statistic is t = 3.43.

b) The p-value is: 0.0014.

The equation for the test statistic is given as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{x} = 109, \mu = 0, s = 201, n = 40\)

Hence the test statistic is given as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{109 - 0}{\frac{201}{\sqrt{40}}}\)

t = 3.43.

Using a two-tailed test, as we are testing if the mean is different of a value, with 40 - 1 = 39 df and t = 3.43, using a t-distribution calculator, the p-value is given as follows:

0.0014.

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Answer:

m=86 degrees

x=98 degrees

Step-by-step explanation:

1:

the angles of a triangle are 180

180-71-23=86

m=86

2:

the angles of a triangle are 180

180-52-30=98

x=98

hope this helps and is right!

The apple mean weight's 95% confidence interval is;

CI = (119.14, 125.86) (119.14, 125.86)

The confidence interval above should be understood as;

We have a 95% confidence that each apple's average weight, across all of the apples they send, falls between 119.14 and 125.86 grams.

Ours is given;

12 for the standard deviation.

Sample size: 49; n

x = 122.5 is the indicated mean weight.

The current confidence interval formula is;

CI = x⁻ ± z(σ/√n)

Tables indicate that z = 1.96 at a 95% confidence level.

Thus;

CI = 122.5 ± 1.96(12/√49)

CI = 122.5 ± 3.36

CI = (122.5 - 3.36), (122.5 + 3.36)

CI = (119.14, 125.86)

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We can factorize the quadratic as

\(3x^2 + 4x - 12 = 3 (x - r) (x - s)\)

and expand the right side to get

\(3x^2 + 4x - 12 = 3x^2 - 3(r + s) x + 3rs\)

\(\implies r + s = -\dfrac43 \text{ and } rs = -4\)

Then we find

\((r + s)^2 = r^2 + 2rs + s^2 \implies r^2 + s^2 = \left(-\dfrac43\right)^2 - 2(-4) = \boxed{\dfrac{88}9}\)

take the 7% and make it into a Decimal which would be 0.07 and then subtract 0.07 twice from 1500 the answer is $1499.86