Identify the values of a, b, and c for the quadratic equation given:y=-x2 +9a =b =C=

ANSWER

EXPLANATION

We want to solve for c in:

To do that, we will make c the subject of the formula:

We have solved for c.

The line we want has a slope that is the negative reciprocal of the slope of the line

y = -(1/2)x - 5

The slope of this line is -1/2. So, the slope of its perpendicular lines is 2. Therefore, their equations have the form:

y = 2x + b

Now, to find b, we use the values of the coordinates of the point (6, -4) in that equation:

-4 = 2*6 + b

-4 = 12 + b

b = -4 - 12 = -16

Therefore, the equation is y = 2x - 16.

ANSWER

Degree: 4

Number of terms: 2

EXPLANATION

Answer:

65

Step-by-step explanation:

[tex]-4a + 65 = 2a + 5\\60 = 6a\\a = 10\\[/tex]

KJN = 25 degrees

MJN = 25 degrees

KJM = KJN + MJN = 25 + 25 = 50 degrees

total angles = 360 degrees

JKL = (360 - 50 - 50 )/2 = 130 degrees

LKN is half of JKL = 130/2 = 65

Let us start with the following quadratic function:

the X-intercepts are the collection of values to X which makes f(x) = 0, and it can be calculated by the Bhaskara formula:

where the values a, b, and c are given by:

Substituting the values from the proposed equation, we have:

From the above-developed solution, we are able to conclude that the solution for the first box is:

Now, the y-intercept, is just the value of y when x = 0, which can be calculated as follows:

From this, we are able to conclude that the solution for the second box is:

Now, the vertex is the value of minimum, or maximum, in the quadratic equation, and use to be calculated as follows:

substituting the values, we have:

which means that the solution for the thirst box is:

Now, the line of symmetry equation of a quadratic function is a vertical line that passes through the vertex, which was calculated to be in the point: (1/2, -49,4).

Because this is a vertical line, it is represented as follows:

The domain of a function is the set of values over the x-axis where it is defined on a coordinate plane.

From the image, notice that the given graph is defined whenever x is between -4 and 9. Therefore, the domain of the function is:

ANSWER

Elimination

EXPLANATION

We want to decide what method will be easier to solve the system of simultaneous equations.

From the equation, we see that attempting substitution will be quite difficult because there will be fractions involved thereby making simplification difficult.

On the other hand, elimination will involve multiplying the two equations by certain factors and solving.

Therefore, elimination will be more convenient.

The fractional portion of the whole graph is not represented by rent and savings? is 101/120.

From the information, there are 360° in a circle graph and 50° of the graph represents rent and 7" of the graph represents savings.

The part that isn't savings or rent will be:

= 360° - (7° + 50°)

= 360° - 57°

= 303°

Therefore, the fractional part will be:

= Part that isn't savings or rent / Entire degree

= 303/360

= 101 / 120

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First let's find the total number of gallons of the fruit punch. To do so, we just need to sum the gallons of orange juice (1 1/2) ith the gallons of pineapple juice (5/8):

Now, in order to find how many 1/8 servings can be made, we need to divide the total number of gallons of the fruit punch by the number of gallons of a serving:

So Paula can have 17 servings.

Answer:

17

Step-by-step explanation:

5/8 - 5

1 1/2 - 12

Volume of a cylinder: pi * r^2 * h

Where:

pi = 3.14

r= radius = 8km

h= heigth = 7km

Replacing:

V = 3.14 * (8)^2 * 7 = 1,406.72 km3

16 crackers are proportional to 24 grams of carbohydrates. To find the number of grams of carbohydrates in 12 animal crackers, we can use the next proportion:

Solving for x,

If I sent 4/9 of the leftover pizza home with your friends the pizza do I have left in the box is 16/45.

What is pizza?

Pizza is an Italian food consisting of a typically flat, spherical foundation composed of leavened wheat dough that is topped with cheese, tomatoes, and frequently a number of additional toppings. Following that, the pizza is baked at a high temperature, typically in a wood-fired oven. A small pizza is also known as a pizzetta. A pizza maker is referred to as a pizzaiolo.

To get the quantity of the leftover pizza, we need to subtract the pizza sent by me to home from the total pizza I had in my lunch box.

So,

Pizza I have left = Pizza in lunch box - Pizza I have sent

Pizza I have left = 4/5 - 4/9  

Pizza I have left = (4(9) - 4(5))/45

Therefore, Pizza I have left is 16/45.

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The percent error of the house of the pizza would be 2.

The difference between the estimated and actual values in comparison to the actual value is expressed as a percentage. In other words, the relative error multiplied by 100 equals the percent error.

Percent errors indicate the magnitude of our errors when measuring something in an analysis process. Lower percentage errors indicate that we are getting close to the accepted or original value.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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Answer:

Step-by-step explanation:

to solve, divide both sides by -3/2 to isolate x

you'll get x>1.5

to graph, make a ray pointing right from 1.5 with an open dot

To solve further cross multiply both sides

so that

x = 160

The probability that the first spin lands on blue and the second spin lands on gray is 15 / 56.

Probability is the likelihood that an event will happen or take place.

The spinner has eight = sections, five of which are gray and red with your blue.

Probability that the first spin lands on blue = 8

(8 - 5)/8 = 3/8

The probability of landing of gray is 5/7 for the second time.

Therefore, the probability will be:

= 3/8 × 5/7

= 15 / 56

This illustrates the concept of probability.

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Recall that

is a set that consists of all the elements that are in both A and B.

From the given sets we get that the elements that are in both A and B are:

Therefore, the intersection of the sets is the empty set.

Answer:

Solution:

Given:

From the trail lengths given,

The difference in length between the longest trail and the shortest trail:

The sum of the longest trail and the shortest trail.

From the calculations above, the conclusion can be reached that:

Tom's answer does not make sense. His mistake was he did the sum of the longest trail and the shortest trail.

nine hundred forty-two ten-thousandths:

1. Write the first part as a number: nine hundred forty-two

nine hundred: 900

forty-two: 42

900+42= 942

2. Identify the position of number above in the decimal knowing that ten-thousandths ends in 4 disgits after the decimal point (the last digit of number above needs to be in the ten-thousandths position):

The property which is used in the following calculation is referred to as Associative Property of Multiplication and is denoted as option D.

This is referred to as the process in which the the result of the multiplication of three numbers is always the same regardless of the way and manner in which they are arranged.

We were given: 4 (18) (5)

= 4 (5) (18)

= 20 (18)

= 360

The multiplication of the numbers will give the same result of 360 no matter how the numbers are arranged which is why it was chosen as the correct choice.

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SOLUTION:

Case: Circle theorems

Method:

From the given circle

Theorem: The angle at the center of the circle is twice the angle at the circumference formed by the same segment.

The implication to the circle in the question is:

Final answer

Answer: The derivative of tan(t) with respect to t is sec2(t) sec 2 ( t ) .

Step-by-step explanation:

hope this helps

-2(1 - 5x) = 4 - 4(-2x)

First, we eliminate the parentheses and solve the multiplications

-2*1 - 2*(-5x) = 4 + 8x

-2 + 10x = 4 + 8x

Now, we subtract 8x from both sides and add 2 to both sides

-2 + 10x - 8x + 2 = 4 + 8x - 8x + 2

2x = 6

Then, we divide both sides by 2

2x/2 = 6/2

x = 6/2

x = 3

SOLUTION

The questions is outside scope

The rigid transformations of the vertex of the curve are listed below:

(i) (2, 2).

(ii) (2, 3).

In this problem we find the value of a point of a curve f(x), this point (the vertex) must be transformed by using rigid transformations. There are two cases: (i) Vertical translation, (ii) Reflection about the x-axis. The formulas for each case are described below:

Vertical translation

P'(x, y) = P(x, y) + (0, k)

Reflection about the x-axis

P'(x, y) = P(x, y) + (0, - 2 · p)

Where p is the y-coordinate of point P.

If we know that P(x, y) = (2, - 3), then the coordinates for each case are, respectively:

Vertical translation

P'(x, y) = (2, - 3) + (0, 5)

P'(x, y) = (2, 2)

Reflection about the x-axis

P'(x, y) = (2, - 3) + (0, 6)

P'(x, y) = (2, 3)

The transformations of the vertex of the curve are (i) (2, 2) and (ii) (2, 3).

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The slope is 2.

The y-intercept is 5 or (0, 5)

See graph below

Given:

y = 2x + 5

To find:

the slope, y-intercept, and plot a graph

To determine the slope and y-intercept, we will use the equation of line formula:

y = mx + b

m = slope

b = y-intercept

Comparing both equations:

y = y

2x = mx

m = 2

The slope = 2

5 = b

The y-intercept = 5

To plot the graph, we will assign values to x in order to get values to y that will be plotted:

let x = -4, 0, 4

when x = -4

y = 2(-4) + 5 = -3

when x = 0

y = 2(0) + 5 = 5

when x = 4

y = 2(4) + 5 = 13

Plotting the points:

Each line on the graph represents 1 unit

The given function is

f(x) = 5x - 2

If we are given a function f(x), the x is called argument of the function.

You just have to pass argument x to get the value of f(x).

The word PAYMENT has 7 letters. They can be arranged in groups of 4 like shown below:

PYNT, TA

Solution

For this case we can use the following formula:

and for this case we have the following:

P= 12600

A= 7100

t = 9 years

And r is the value that we need to find, so we can do the following:

We can do the following:

And we got for r:

And then the rate would be:

6.37%