Is the discriminant positive , negative, or 0 for each graph below? Explain your choices in one or two sentences for each graph

The combined total dollar amount earned by Mary this month is given by the expression "-3t + 1365".

The question asks us to find the total amount of money earned by Mary by working as a tutor and a waitress combined. We have been given that Mary earns $12 per hour as a tutor and $15 per hour as a waitress.Let the number of hours Mary worked as a tutor be t. As we know, the total number of hours worked by Mary is 91.

So, Mary must have worked (91 - t) hours as a waitress.So, the total money earned by Mary is given by: Total money earned = (Money earned per hour as a tutor × Number of hours worked as a tutor) + (Money earned per hour as a waitress × Number of hours worked as a waitress)⇒ Total money earned = (12 × t) + (15 × (91 - t))⇒ Total money earned = 12t + 1365 - 15t⇒ Total money earned = -3t + 1365.

So, the combined total dollar amount earned by Mary this month is given by the expression "-3t + 1365".Note: As the question asks for an expression, we do not need to simplify it. However, if we are required to find the actual dollar amount, we can substitute the value of t in the expression and then simplify it.

Learn more about the word expression here,

https://brainly.com/question/1859113

#SPJ11

To write the given equations in cylindrical coordinates, we need to express the variables (x, y, z) in terms of cylindrical coordinates (ρ, θ, z). In cylindrical coordinates, ρ represents the distance from the origin to the point in the xy-plane, θ represents the angle between the positive x-axis and the line segment connecting the origin to the point, and z represents the height above the xy-plane.

the equations in cylindrical coordinates are:

(a) 6ρ cos(θ) + 3ρ sin(θ) + z = 4

(b) -4ρ^2 + z^2 = 6

(a) Equation: 6x + 3y + z = 4

To express this equation in cylindrical coordinates, we substitute x = ρ cos(θ) and y = ρ sin(θ). Then the equation becomes:

6(ρ cos(θ)) + 3(ρ sin(θ)) + z = 4

Simplifying further:

6ρ cos(θ) + 3ρ sin(θ) + z = 4

(b) Equation: -4x^2 - 4y^2 + z^2 = 6

Substituting x = ρ cos(θ) and y = ρ sin(θ), and using the relationship ρ^2 = x^2 + y^2, the equation becomes:

-4(ρ cos(θ))^2 - 4(ρ sin(θ))^2 + z^2 = 6

Simplifying further:

-4ρ^2 cos^2(θ) - 4ρ^2 sin^2(θ) + z^2 = 6

Using the trigonometric identity cos^2(θ) + sin^2(θ) = 1, the equation simplifies to:

-4ρ^2 + z^2 = 6

In summary, the equations in cylindrical coordinates are:

(a) 6ρ cos(θ) + 3ρ sin(θ) + z = 4

(b) -4ρ^2 + z^2 = 6

These equations represent the given equations in terms of cylindrical coordinates.

To learn more about cylindrical coordinates : brainly.com/question/31586363

#SPJ11

Complex numbers are represented on a cartesian coordinate system with a horizontal real axis and a vertical imaginary axis.

Any number that can be expressed as a+bi, where i is the imaginary unit and a and b are the real numbers, is a complex number. The number is made up of two parts: real part (a) and imaginary part (b).

Just like we can use the number line to visualize a set of real numbers, we can use the complex plane to visualize a set of complex numbers. The complex plane consists of two number lines intersecting at a right angle at the point (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.

The horizontal number line (what we know as the xxx-axis on a Cartesian plane) is the real axis. The imaginary axis is the vertical number line (the yyy-axis on a Cartesian plane).A point in the complex plane can represent every complex number.

For example, consider the number 3-5i3−5i3, minus 5, i. This number, also expressed as 3+(-5)i, has a real part of 3 and imaginary part of -5. The location of this number on the complex plane is the point that corresponds to 3 on the real axis and -5 on the imaginary axis.

So the number 3+(-5) corresponds with the point (3,-5). In the general complex number, a+bi corresponds to the complex plane's point(a,b).

Hence, complex numbers are represented on a cartesian coordinate system with a real horizontal axis and an imaginary vertical axis.

Learn more about Cartesian plane:

https://brainly.com/question/28574364

The correct option for this question is c) approximately 68% of the students spent between $200 and $400.


Step 1: Identify the given information. The mean is $300, and the standard deviation is $50. The range is between $200 and $400.

Step 2: Calculate the number of standard deviations between the mean and each boundary. For $200, it's ($200 - $300) / $50 = -2 standard deviations. For $400, it's ($400 - $300) / $50 = 2 standard deviations.

Step 3: Since we don't have information about the shape of the distribution, we will use the Empirical Rule, which states that for a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Step 4: In this case, we are looking at 2 standard deviations from the mean (between $200 and $400). According to the Empirical Rule, approximately 95% of the data falls within this range. However, since we don't know the exact shape of the distribution, we can't say for certain that 95% of the students spent between $200 and $400. However, we do know that at least 68% of the students would fall within 1 standard deviation of the mean. Thus, we can conclude that approximately 68% of the students spent between $200 and $400.

To know more about standard deviation visit:

brainly.com/question/23907081

#SPJ11

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

To know more about triangle check the below link:

https://brainly.com/question/1058720

#SPJ4

The square has a side length of 9.

The area of the full square would be 9^2 = 9 x 9 = 81 square cm.

The area of the triangle is 1/2 x 4 x 3 = 6 square cm.

The area of the shape = 81 -6 = 75 square cm.

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Given,

Equations:

y + 2x = -1

y = x + 4

y - x = 4

Using elimination method,

y + 2x = -1

y - x = 4

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

x = 3

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

To learn more about elimination method, visit:

https://brainly.com/question/12090959

#SPJ1

Answer:

1/3 = 8

Step-by-step explanation:

1/3 of the circle is pink.. 24/3 = 8

Answer:

first we'll have to do it in order which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Step-by-step explanation:

(22÷2-2.5)+(4-6+6)

(11-2.5)+(4-6+6)

(8.5)+(4)

= 12.5

Answer:

Dilation of 1/2 and then a reflection over y=2

Answer:

reflect GHI over x= -2, and dilatate G'H'I' by a scale factor of 2 from point G

Step-by-step explanation:

EFG is turned the other way, meaning that GHI was flipped. because EFG is bigger, and having a scale factor that's a whole number means it gets bigger, then this answer is correct because its both bigger and flipped in the picture.

=36

A ) = 36

the rest are to little or much

Answer:true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The measure of each interior angle of a regular polygon is \(\frac{180(n-2)}{n}\) degrees, where n is the number of sides.

Question 1

\(144=\frac{180(n-2)}{n}\\\\144n=180(n-2)\\\\144n=180n-360\\\\-36n=-360\\\\n=10 \text{ sides}\)

Question 2

\(\frac{180(n-2)}{n}=135\\\\180(n-2)=135n\\\\180n-360=135n\\\\-360=-45n\\\\n=8 \text{ sides}\)

Step-by-step explanation:

for #1 it would be the second one.

For #2, it would be the first one

Like terms are the ones that have the SAME variable with SAME exponent. So the ones with x will be considered like terms. The ones with a will also be like terms.

For #1, you would use this fact to combine the like terms. For instance, 3a and -2a are like terms so when they are combined you are left with 1a

integral and the properties of limits. The given limit is:

lim x→1 ∫[6(x^3 – 7x)]dx

      [a,x]

where the interval of integration is (2, 8].

To express this limit as a definite integral, we first rewrite the limit using the limit properties:

00

lim x→1 ∫[6(x^3 – 7x)]dx

      [a,x]

= ∫[lim x→1 6(x^3 – 7x)]dx

      [a,x]

Next, we evaluate the limit inside the integral:

lim x→1 6(x^3 – 7x) = 6(1^3 – 7(1)) = 6(-6) = -36.

Now, we substitute the evaluated limit back into the integral:

∫[-36]dx

      [a,x]

Finally, we integrate the constant -36 over the interval (a, x):

∫[-36]dx = -36x + C.

Therefore, the limit lim x→1 ∫[6(x^3 – 7x)]dx

                  [a,x]

can be expressed as the definite integral -36x + C evaluated from a to 1:

-36(1) + C - (-36a + C) = -36 + 36a.

Please note that the value of 'a' should be specified or given in the problem in order to provide the exact result.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts

An equation is an expression that shows the relationship between two or more number and variables.

The line segment has a length of 6.4 cm. Hence:

Dividing into 4 equal parts = 6.4 / 4 = 1.6 cm

The length of each part of a the line segment is 1.6 cm if a line segment of length 6.4 cm and divided it in to 4 equal parts

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

Learn more about list() function here:

https://brainly.com/question/33326411

#SPJ11

Answer: what’s the question? :D

Step-by-step explanation:

Barbara will get $7.20 back in change.

A sales tax that is typically added to the selling price by the seller.

Without tax, the total cost of the shirt and pants is:

$15.00 + $25.00 = $40.00

The sales tax is 7% of $40.00, which is as follows:

0.07 x $40.00 = $2.80

So, with tax, the total cost of the shirt and pants is:

$40.00 + $2.80 = $42.80

If Barbara pays with a $50 bill, she will receive the following change:

$50.00 - $42.80 = $7.20

As a result, Barbara will receive $7.20 in change.

To know more about Sales Tax visit:

https://brainly.com/question/29442509

#SPJ1

Answer:

False

Step-by-step explanation:

4x4=16

16x4=64

5*5=25

64+25=89

Therefore the answer is false, because 89 is not equal to 95.

Answer:

false

Step-by-step explanation: you don't really need this part but all you need to know is that it is false :)

The exponential function that goes through the points (0,7) and (2,112) is y = 7 × 4ˣ.

To write an exponential function that goes through the points (0,7) and (2,112), we can use the general form of an exponential function:

y = abˣ

where a is the initial value, b is the base, and x is the independent variable (usually time).

Using the two points given to find the values of a and b.

Let's start with the point (0, 7):

y = a × bˣ

Plug in x = 0 and y = 7

7 = a ×  b⁰

7 = a × 1

a = 7

Next, let's use the point (2, 112):

y = a × bˣ

Plug in x = 2, y = 112 and a = 7

112 = 7 × b²

7b² = 112

Dvide both sides by 7

b² = 16

b = ±√16

b = ±4

We can eliminate the negative solution since we are looking for a function that is growing, so:

b = 4

Now, plug these values into y = a × bˣ

y = 7 × 4ˣ

Therefore, the exponential function y = 7 × 4ˣ

Learn about functions here: brainly.com/question/2541698

#SPJ1

Answer:

he is buying it for 11.25. you get this buy multiplying 15 by 25% which equals 3.75 then you subtract 15 by 3.75 and you get 11.25

hope it helps

please mark as brainliest

Step-by-step explanation:

Answer:

11.25$

Step-by-step explanation:

The set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

Looking at the box plot, we can see that the box spans from approximately 65 to 85, with the median at around 75. To find the values for the interquartile range and maximum, we need to determine the exact values for Q1, Q3, and any outliers.

From the box plot, we can estimate that Q1 is around 70 and Q3 is around 80.

The median of the lower half of the data is the middle value between the smallest value and the median, which is approximately 68.

The median of the upper half of the data is the middle value between the median and the largest value, which is approximately 83.

To find the maximum value, we look for the highest data point that is not an outlier. From the box plot, we can see that there are no outliers, so the maximum value is the highest value in the data set, which is approximately 95.

Therefore, the set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

To know more about boxplot here

https://brainly.com/question/12992903

#SPJ1

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 not equal

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 not equal

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 equal

Answer:

Calculating for a FULL SPHERE

sphere radius = cube root (.75 * sphere volume / PI)

sphere radius = cube root (.75 * 91,358 / 3.14159265)

sphere radius = 27.9395447176 inches

That's for a FULL SPHERE.  

For a HEMISPHERE we divide by two:

13.9697723588

To the nearest tenth of an inch it is

14.0 inches.

Step-by-step explanation:

Answer: a

Step-by-step explanation:

I say a because I know it’s a

Answer:

Yes

Step-by-step explanation:

The amount of interest she will earn at the end of 3 years would be = $375

The principal amount of money saved by Chantal (p)= $5000

The interest rate that the amount generates (r)= 2.5%

The total time for the savings(t) = 3 years.

The simple interest generated S.I = P×T×R/100

= 5000×3×2.5/100

= 37500/100

= $375

Therefore the amount of money she will earn as interest after three years of savings would be = $375.

Learn more about simple interest here:

https://brainly.com/question/25793394

#SPJ1

Answer:

2n+10

Step-by-step explanation:

you just distribute the -2 and you get -14+2n+4 and then add and you'll get 2n+10

if you are solving for the variable n then you would want your equation like this 2n+10=0

next you would put the 10 on the other side of the equation and have 2n=-10

finally you would divide by 2 and get n=-5