To solve the following equation for k using the quadratic formula, what value would you substitute for b?

3k2 = 4k + 7

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

It's 10.5.  I just did this problem.

Answer:

b= 23.4,. γ = 70°, c= 28.9

Step-by-step explanation:

To solve the triangle with given α = 65°, β = 45°, and a = 30, we can use the law of sines:

b/sin(β) = a/sin(α)

b/sin(45°) = 30/sin(65°)

b ≈ 23.4

Then, to find angle γ, we can use the fact that the sum of angles in a triangle is 180°:

γ = 180° - α - β

γ ≈ 70°

To find side c, we can again use the law of sines:

c/sin(γ) = a/sin(α)

c/sin(70°) = 30/sin(65°)

c ≈ 28.9

Therefore, the solution is b = 23.4, γ = 70°, and c = 28.9.

Note that there is no other possible solution, as the given angles and side lengths do not allow for multiple triangles to be formed.

Answer:

im pretty sure it is b

Step-by-step explanation:

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

Learn more about system of linear equations, click;

https://brainly.com/question/19549073

#SPJ1

Answer:

Step-by-step explanation:

Answer:

9: 9,18,25,32,40 heres some examples hope this helps have a great day.

Answer:

11 25/64 in ^3

Step-by-step explanation:

Volume of a cube is given by

V = s^3

s = 2 1/4 = 9/4

V = (9/4) ^3

  = 729/64

  =11 25/64 in ^3

Answer:

x<3/2

Step-by-step explanation:

12x+7<-11

12x<-11-7

12x<-18

x<-3/2

Answer: 186 cubic in

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

we kno that a triangle is 180 degrees so we just add the first two angles

37 + 82 = 119

then subtract that from 180

180 - 119 = 61

so x = 61 degrees

lmk if this wrong and ill fix it

hope this helps <3

Answer:61

Step-by-step explanation:

i did test on k12 it was right

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

Learn more on Volume on https://brainly.com/question/27710307

#SPJ1

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

let us begin by assigning letters to the variables here. Hence, let the City Roast Colombian be x, while the French Roast Columbian be y. If the mixture of 1 pound of City roast and 1 pound of French roast would cost $7.83 per pound (for the mixture), then we can have the expression developed into an equation as follows;

Also, to make a 20 pound blend would simply mean;

We now have a system of equations which we can solve as follows;

We can now substitute for the value of y into equation (2), as follows;

Hence, we have;

ANSWER:

Julia and her husband should buy the coffee as follows;

\( \: \: \: \: \: \)

Answer:

Graph 1. y = 5kx

Graph 2. y = 9kx

Graph 3. y = 2kx

Graph 4. y = 3kx

Step-by-step explanation:

To find the constant proportionality of each graph, first you need to search for any dot on the straight line. Then, the number on the Y and X axis of that dot, divide both of them. For example, in graph #1 on the second dot, the numbers are 80 and 16. The quotient of that is 5. The quotient of those other numbers in that graph are also 5. The instructions ask to use the formula "y = kx". Therefore, y = 5kx.

Answer:

the magnitude of a real number without regard to its sign

Step-by-step explanation:

An example would be :

-16 =[16]

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

We can use the slope formula

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

   = ( 8-2)/(3-4)

    = 6/-1

    = -6

Answer:

\( - 6\)

Step-by-step explanation:

\(slope \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 8}{4 - 3} \\ = \frac{ - 6}{1} \\ = - 6\)

Answer:

D.

Step-by-step explanation:

We can use the slope-intercept form:

\(y=mx+b\)

Where m is the slope and b is the y-intercept.

We know that the slope is -3.

And the y-intercept is 7.

Hence, we will substitute -3 for m and 7 for b. This yields:

\(y=-3x+7\)

Therefore, our answer is D.

Answer:

2,400 tons

Step-by-step explanation:

I think that's the answer

Answer: The answer is 2,050,000 Tons/US Tons.

Step-by-step explanation: Trust me i have gotten every other question i have every did correct and i have so many points and badges beacuse of it.

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

For more such information on: slope

https://brainly.com/question/16949303

#SPJ8

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Mean and IQR (Interquartile Range) give the best tools for measuring the center and spread. So, the correct option is C.

The mean is a measure of central tendency that is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is sensitive to extreme values, also known as outliers, and can be affected by skewed data.

The IQR is a measure of spread that gives the range of the middle 50% of the data. It is calculated by finding the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data. The IQR is less sensitive to outliers than the standard deviation, which is a measure of spread that gives the average distance of the data points from the mean.

The median is a measure of central tendency that is the middle value in a dataset when the values are arranged in order. It is less sensitive to extreme values than the mean and is useful when the data is skewed.

While mean and standard deviation are commonly used measures of center and spread, they may not be appropriate for all datasets, especially those that are skewed or contain outliers. Therefore, mean and IQR are often preferred for summarizing the center and spread of such data.

To learn more about center and spread click on,

https://brainly.com/question/28660799

#SPJ4

The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

Learn more about domain on

https://brainly.com/question/26098895

#SPJ1

Answer: 1/2

Step-by-step explanation:

y=1/2x-3

Using arithmetic progression, number of logs in 6th row are 33.

We can use the information that each row has 5 fewer logs than the row below it to create a sequence of the number of logs in each row. Let's call the number of logs in the first row "a" (which we know is 58 logs). Then, the number of logs in the second row will be "a - 5", the number of logs in the third row will be "(a - 5) - 5" or "a - 10", and so on.

So, we have the sequence of the number of logs in each row as:

a, a - 5, a - 10, a - 15, a - 20, ...

To find the number of logs in the 6th row, we need to find the 6th term in this sequence. We can use the formula for the nth term of an arithmetic sequence:

an = a₁ + (n - 1)d

where an is the nth term, a1 is the first term, n is the number of the term we want to find, and d is the common difference between terms (which is -5 in this case, since each row has 5 fewer logs than the row below it).

Substituting the given values, we get:

a₆ = a₁ + (6 - 1)(-5)

= a - 25

So, the number of logs in the 6th row is a - 25. Since we know that a is 58 logs, we can substitute and simplify:

a - 25 = 58 - 25 = 33

Therefore, the answer is (b) 33.

To learn more about arithmetic progression from given link

https://brainly.com/question/6561461

#SPJ1