Find the discriminant of the following quadratic equation and indicate the nature of the solutions. Then find the solutions to the quadratic equation. Make sure solutions are simplified! 8x² + 15x = 7x - 4 ​

Answers

Answer 1

Answer:

-64

Step-by-step explanation:

Start by moving everything to the left side making the equation equal 0. Then combine like terms.


Related Questions

83.978, 78.934, 84.765 Underline the thousandths digit in each number


help meee pleaseeee

Answers

Answer:

83.978 the thousandth digit is 3, 78.934 the thousandth digit is 8,84.765 the thousandth digit is 4

Answer:

Step-by-step explanation:

Ok:

1. Identify the thousandths digit

The numbers to the left of the decimal point are the ones and hundreds digits

The first number to the right of the point is the tenths digits

The second to the right of point i s the Hundreths

The third number to the right of point is the thounsandths which is what we are looking for!

2. Apply to problem!

1. 83.978 : Thousandths digit is 8

2. 78.934 : Thousandths digit is 4

3. 84.765 : Thousandths digit it 5

Extra tips and tricks writing as fractions!Ps: Some are not simplified!

1. 83.978= 83 978/1000 as fraction

2. 78.932= 78 932/1000 as fraction

3. 84.765= 84 765/1000 as fraction

Write this ratio another way.
120/150

Answers

The ratio 120/150 represented in the simplest form is 4 : 5 .

The given ratio is 120 /150 .

Now if we write the expression in the form of the simplest ratio we have to divide the ratio by the highest common factor.

The HCF of the number is 30. Hence the ratio in simplest form will be

120÷30 : 150÷30 = 4 : 5 .

By comparing two amounts of the same unit and establishing the ratio, we can work out how much of one quantity is contained in the other. Two categories of ratios exist.

Ratio can be thought of as an ordered pair of integers, a fraction with the first number in the numerator and the second in the denominator, or as the value that this fraction represents.

Ratios of counts are rational numbers that can also be rational numbers and are occasionally expressed by (non-zero) natural numbers.

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How can I evaluate P = 3n+2r+t -1 when n=3, r=2, and t=5?

Answers

Answer:

p=17

Step-by-step explanation:

P = 3n+2r+t -1

when n=3, r=2, and t=5?

we will just substitute for the values

p=3(3)+2(2)+5-1

p=9+4+4

p=9+8

p=17

;- The value for p is 17

award as brainliest

p=3(3) + 2(2) + 5 -1
p= 9 + 4+ 5 - 1
therefore p = 17

For a ride on a rental scooter, Tom paid a 5 fee to start the scooter plus 9 cents per minute of the ride. The total bill for Tom's ride was 21.38 . For how many minutes did Tom ride the scooter?

Answers

Answer:

182 minutes

Step-by-step explanation:

0.09x+5=21.38

         -5.   -5

0.09x=16.38

/0.09.   /0.09

  X=182

182 minutes

Hopes this helps please mark brainliest

Find the domain and range of the functions represented by the graph

Answers

The domain and range of the functions represented by the graph is equal to [-2, 2]. Also, the range of the functions represented by the graph is equal to [-2, 2].

How to identify the domain and range of this graph?

The horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Similarly, the vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Note: Each interval on this graph represent -1 unit.

By critically observing the graph of this function shown, we can reasonably infer and logically deduce the following:

Domain = [-2, 2].

Range = (-2, 2).

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Please help now asap !!! Due tomorrow

Answers

Answer:

Step-by-step explanation:

it help by showinbng thta

evaluate (-3)^3 x (-5/3)^-4

Answers

Answer:

answer. {-2187x}/{625}

help
Simplify the ratio of 0,5 kg: 250 g​

Answers

Answer:

2:1

Step-by-step explanation:

.5 kg : 250g

the units must be same at both sides

500g : 250g

{as 1 kg = 1000g}

by simplifying both sides

10g : 5g

2g : 1g

2:1

the time necessary to complete an examination has a mean of 45 minutes and a standard deviation of 15 minutes. the average time necessary for 100 randomly selected students is computed. the probability the sample mean time necessary to complete the examination is less than 47.5 minutes equals approximately:

Answers

The likelihood that the sample mean time required to finish the exam will be less than 47.5 minutes is 0.566.

Given;

The average amount of time needed to finish an exam is 45 minutes, with a standard deviation of 15 minutes. The average amount of time required for 100 randomly chosen pupils is calculated.

Mean (μ) = 45

Standard deviation (σ) = 15

Here, σ/√n = 15/√100

                   = 1.5

To get the probability the sample mean time necessary to complete the examination is less than 47.5 minutes, we need;

P (x < 47.5) = P(z < (x-μ /σ/√n ) )

                  = P(z < 47.5 - 45/1.5)

                  = P(z < 17.5)

                  = 0.566

The probability the sample mean time necessary to complete the examination is less than 47.5 minutes is 0.566

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suppose i randomly assign one group of angelenos to read a book about the history of the seattle supersonics, and the other to read a book about cheese. i then give them a quiz about basketball history (including recent events such as the los angeles lakers' twelfth championship). what is the independent variable in this experiment?

Answers

Using the concepts of probability, we got that book is independent variable in the experiment in which I randomly assign one group of angelenos to read a book about the history of the Seattle supersonics, and the other to read a book about cheese.

The independent variable is the condition that you actually change in an experiment. It is the variable you control. It is known as independent because its value does not depend on the value and is not affected by the state of any other variable in the experiment.

Hence, when  i randomly assign one group of Angelenos to read a book about the history of the Seattle supersonics, and the other to read a book about cheese and  then give them a quiz about basketball history (including recent events such as the Los Angeles Lakers then  the independent variable in this experiment is the book given by me.

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Place a. Point on the number line to show the value that is 1/10 of 0.5

Answers

The value of 1/10 of 0.5 lies between 0.1 and 0.2

What is Number line?

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

Given:

Point on the number line to show the value that is 1/10 of 0.5

So, 1/10 of 0.5

= 1/10 x 0.5

= 0.05

Hence, the value of 1/10 of 0.5 lies between 0.1 and 0.2

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Mia’s family drinks a total of 10 gallons of milk every 6 weeks. How many gallons of milk do they drink per week

Answers

1.66666667 to get this you do 10/6

Sasha is studying a type of coral that grows at a constant rate. Every month, she visits two pieces of the coral and measures their heights. She made this table:
Month 1 2 3
Piece A's height (cm) 24 26 28
Piece B's height (cm) 27 29 31
When Piece A's height is 49cm, what will Piece B's height be?

Answers

Answer:

Step-by-step explanation: The constant growth for Plant A is two cm a month and the growth of Plant B is also two cm a month.


In relation, Plant B will also be 3cm taller than Plant A on any month so when Plant A is 49cm, Plant B is 52.

When Piece A's height is 49 cm then the Piece B's height will be 52 cm.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We can see that Piece A's height increases by 2 cm each month and Piece B's height increases by 2 cm each month as well.

To find out what Piece B's height will be when Piece A's height is 49 cm, we need to find how many months it will take for Piece A to reach 49 cm.

From Month 1 to Month 2, Piece A's height increased by 2 cm, and from Month 2 to Month 3, Piece A's height increased by another 2 cm. Therefore, Piece A's height increases by 2 cm per month.

To go from 28 cm (Piece A's height in Month 3) to 49 cm, it takes 21 cm ÷ 2 cm/month = 10.5 months.

So 10.5 months after Month 3 is Month 13.5.

In Month 13.5, Piece A's height will be 49 cm and Piece B's height will be:

Piece B's height in Month 3 + 2 cm/month × (13.5 - 3 months)

= 31 cm + 2 cm/month × 10.5 months

= 52 cm

Therefore, when Piece A's height is 49 cm, Piece B's height will be 52 cm.

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What is the slope of the line that contains these points?

Answers

The slope of the line that contains the the given points is 1/5 .

The slope of the line containing the two points (x₁ , y₁) and (x₂ , y₂) is calculated using the formula

slope = (y₂ - y₁)/(x₂ - x₁)

In the question ,

it is given that the

line contains the points x [tex]=[/tex] -4 , y [tex]=[/tex] -3

and x = 1 , y = -2 .

we need two points to find the slope of the line

Substituting the values in the formula for slope ,

we get

slope = (-2 -(-3))/(1-(-4))

= (-2+3)/(1+4)

= 1/5

Therefore , The slope of the line that contains the the given points is 1/5 .

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Explain how the function y=-1/3|x+2|+5 is transformed from the original function of y=-1/3|x|.

Answers

The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.

The types of transformation.

In Mathematics, there are four (4) main types of transformation and these include the following:

DilationRotationReflectionTranslation

What is a translation?

In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.

In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:

Original function (x, y)    →     New function (x + 2, y + 5)

y = -1/3|x|                         →        y = -1/3|x + 2| + 5

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neeed helppp pleaseeeeee

Answers

The possible answer is approximately 8.9442

true or false? finding a random sample with a mean this low in a population with mean 7 and standard deviation 2 is very unlikely.

Answers

It is false that " finding a random sample with a mean this low in a population with mean 7 and standard deviation 2 is very unlikely".

What is standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean. The standard deviation gauges how widely the data deviates from the mean. When comparing data sets that may have the same mean but a different range, it is helpful. The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, however, is obviously more dispersed.

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Whats the answer to question 10?

Answers

Answer:

[tex]y = |x - 3|+ 5[/tex]

y = |x| is the equation that forms the triangular shape. -3 and 5 reflect the shape to that position.

after a bride has interviewed 6 djs to play at her wedding, her fiance tells her she needs to narrow it down to 3 djs. in how many ways can she rank the 3 djs? a) 20 b) 18 c) 720 d) 3 e) 120 f) none of the above.

Answers

The number of way in which bride can rank the three Djs out of 6 is 120.

Defined the word permutation?The number of possible arrangements for a given set is determined mathematically, and so this procedure is referred to as permutation. Simply said, a permutation is a concept that refers to the wide range of possible arrangements or orders. The arrangement's order is important if using permutations.

There are several different ways we might rank the three DJs.

Therefore, we must identify the permutation P. (6,3).

Total number of DJs = 6Required number of DJs = 3

ⁿPₓ = n!/(n - x)!

⁶P₃ = 6!(6-3)!

⁶P₃ = 6×5×4

⁶P₃ = 120

Thus, the number of way in which bride can select the three Djs out of 6 is 120.

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Can you help me create a polynomial function from the diagram displayed below? My teacher never went over this in class.

Thanks!

Answers

Considering the dimensions of the rectangular prism and it's volume, it is found that:

The expression is: V(x) = 4x³ - 22x² + 30x.The degree is of 3, the number of terms is of 3, and the leading coefficient is of 4.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism is given by the multiplication of the dimensions of the prism, which are the width symbolized by w, the height symbolized by h and the length symbolized by l, that is:

V = l x w x h.

In the context of this problem, from the image, the dimensions are given as follows:

Length: l = 2x - 5.Width: w = x - 3.Height: h = 2x.

Then the polynomial expression regarding the volume of the prism is obtained as follows:

V(x) = 2x(x - 3)(2x - 5)

V(x)= 2x(2x² - 11x + 15)

V(x) = 4x³ - 22x² + 30x.

The features of the polynomial expression V(x) = 4x³ - 22x² + 30x is obtained as follows:

Degree of 3, which is the highest exponent of the function V(x).Number of terms of 3, which are 4x³, 22x² and 30x.The leading coefficient is of 3, as it is the term that multiplies the term with the highest exponent x³.

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fast pls!!!!!!!!!!!!!!!!!!! What is the product?

67 times 48 = blank
2,966
3,016
3,116
3,216

Answers

Answer:

D, 3216

Step-by-step explanation:

Calculators are great. I love calculators.

The answer is 3,216.


The attendant at a parking lot compared the number of hybrid vehicles to the total
number of vehicles in the lot over a weekend. The ratios for the three days were
equivalent. Complete the table.
Day Hybrids Total
Fri.
5
9
Sat.
63
Sun. 40
Enter your answer in each of the answer boxes.
Day
Fri.
Sat.
Sun.
Hybrids
40
Total
63

Answers

The attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend.

Day      hybrids    total

Fri           5             9

sat                         63

sun         40            

we need to find number of hybrids in sat and total in sun.

Number of hybrids in sat = 5*7 = 35(ratios are equal)

Total in sum = 9*8 = 72.

Day      hybrids    total

Fri           5             9

sat          35           63

sun         40           72

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A line passes through the points (–4, –1) and (8, 2). What is its equation in slope-intercept form?

I always get it wrong when I write it out

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-4)}}} \implies \cfrac{2 +1}{8 +4} \implies \cfrac{ 3 }{ 12 } \implies \cfrac{1 }{ 4 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ \cfrac{1 }{ 4 }}(x-\stackrel{x_1}{(-4)}) \implies y +1 = \cfrac{1 }{ 4 } ( x +4) \\\\\\ y+1=\cfrac{1 }{ 4 }x+1\implies {\Large \begin{array}{llll} y=\cfrac{1 }{ 4 }x \end{array}}[/tex]

15 ten büyük 25 den küçük tek sayılar

Answers

Answer:

Step-by-step explanation:

15 ile 25 arasında toplam 10 tam sayı var,
buna 25-15=10 şeklinde ulaşabiliriz. Ardından tek sayılar sorulduğu için ve bu 10 tam sayı içerisinde hem tek hemde çift olduğu için sayıyı ikiye böleriz
10/2=5 ve ardından en sonda bulunan 25 sayısını çıkarırız yani, 5-1=4

cevaplar: 17, 19,21,23

simplify 1/x^-5 HELP ME PLEASE FIRST ANSWER GETS BRAINLIEST

Answers

Answer:

x^5

Step-by-step explanation:

Can someone pls help me it’s do in 10 mins

Answers

The value of x is 22.5528.

Let ABC be the triangle , <A = 70, <B = 30 ,<C = 80.

Sum of angles in a triangle is 180.

70 + 30 + <C = 180

<C = 180 - 100

<C = 80.

Let sides be a = x , b = 12 and c = ?

According to sines law,

a/sin A = b/sin B = c/sin C

substitute a ,b,A,B values

a/sin A = b/sin B

x/sin 70 = 12/sin 30

x = 0.9397*12/1/2

= 11.2764*2/1

x = 22.5528.

Therefore the value of x is 22.5528.

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Finding the derivatives using The Chain Rule

Answers

a) The derivative of the composite function is F'(x) = [2 · [(1 / 3) · x³ + 7] + 6] · x².

b) The standard form of the polynomial is F'(x) = (2 / 3) · x⁵ + 7 · x².

How to determine the derivative of a function by chain rule

Chain rule is a differentiation rule use to find the derivative of a composite function of the form f(u(x)), whose operation is defined below:

df / dx = (df / du) · (du / dx)

a) Let be f(x) = x² + 6 · x - 40 and g(x) = (1 / 3) · x³ + 7, such that F(x) = f(g(x)). Then, the resulting expression for the derivative of the function is obtained below:

F'(x) = [2 · g(x) + 6] · g'(x)

F'(x) = [2 · [(1 / 3) · x³ + 7] + 6] · x²

b) Now we proceed to expand the polynomial in its standard form:

F'(x) = [(2 / 3) · x³ + 7] · x²

F'(x) = (2 / 3) · x⁵ + 7 · x²

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Use the formula for the area of a circle (A-ar) to find the area of the bull's-
eye.
12
20
100 mm 12 mm
180 mm
A. 101,736 mm2
B. 452.39 mm2
C. 22,686 mm2
D. 31,400 mm²
13

Answers

The area of a bull's eye is equal to: B. 452.39 mm².

What is the area of a circle?

The area of a circle simply refers to the region enclosed or space occupied by a circle within its boundary, and in a two-dimensional plane.

How to calculate the area of a circle?

Mathematically, the area of a bull's eye can be calculated by using this formula:

Area of bull's eye = πr²

Where:

r is the radius of a circle.

Note: The radius of the bull's eye is equal to 12 mm and π = 3.14159.

Substituting the given parameters into the formula, we have;

Area of bull's eye = π × (12)²

Area of bull's eye = 3.14159 × 144

Area of bull's eye = 452.39 mm².

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can you guys help me with these?

Answers

No





Lol just kidding
So the first one you would multiply both sides by 3 and then you would get X=18

Then the second one multiply both sides by 2, subtract 9 then divide by 5 and you get X= 3

And finally the last one multiply both sides by 4? I’m not exactly sure sorry but I think that’s what you do so you get X=36/6 then reduced you have X=6

Can somone help me with this will mark u brainliest

Answers

The simplest radical form of  √(11/(x + 4)) when x is 16 is; ¹/₁₀√55

How to simplify surds in radical form?

Surds are actually the expressions of the number, and often use radicals. Meanwhile, the radical is just the symbol used to express the square root.

We are given the expression of the surd as;

√(11/(x + 4))

We want to solve this for when x = 16. Thus, we plug in 16 for x in the surd to get;

√(11/(16 + 4))

= √(11/20)

Now, we can rewrite the fraction in the bracket to have the denominator as a perfect square by multiplying both numerator and denominator by 5 to get;

√(55/100)

Square root of 100 is 10 and as such we now have;

√(55/100) = ¹/₁₀√55

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