1. How many solutions does the following equation have?
2x2 – 3x + 5 = 2x2.*- 3x + 5
no solution
- 2x -2% -2X
O
o -5% +5=0
2. Use the quadratic formula to solve the equation. If necessary, round to the nearest
hundredth.
x2 + 3 = -4x+3=- 4x
3- 4x
3. Solve the equation using the Zero-Product Property,
4p(5p+ 10) = 0
20p²+40p=0
-20p^2-20p^2
I just want to know if I got it right?

1. How Many Solutions Does The Following Equation Have?2x2 3x + 5 = 2x2.*- 3x + 5no Solution- 2x -2%

Answers

Answer 1

Answer:

1. The equation has no real solutions

2. [tex]x_1 = -1 [/tex] and [tex]x_2 = -3 [/tex]

3. p = 0 and p = -2

Step-by-step explanation:

1. Eq: x² - 3x + 5

discriminant: b² - 4(a)(c) = (-3)² - 4(1)(5) = 9 - 20 = -19 < 0

Therefore, the equation has no real solutions

2. Eq: x² + 3 = -4x

0 = x² + 4x + 3

[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4(1)(3)}}{2(1)} [/tex]

[tex]x = \frac{-4 \pm 2}{2} [/tex]

[tex]x_1 = \frac{-4 + 2}{2} [/tex]

[tex]x_1 = -1 [/tex]

[tex]x_2 = \frac{-4 - 2}{2} [/tex]

[tex]x_2 = -3 [/tex]

3. Eq: 4p(5p+ 10) = 0

Zero-Product Property states that:

4p = 0 or 5p + 10 = 0

The first solution is p = 0. The second is:

5p + 10 = 0

5p = -10

p= -10/5 = -2


Related Questions

Joshua has a rectangular vegetable garden with the dimensions shown below. If he doubles the length and width of the garden, how will the area of the new garden compare to the area of the original garden?

Answers

4500000000 and 55 thousand dollars

Write the set of real numbers x less than 6 in set builder notation

Answers

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real numberx is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

Help idk how to do it

Answers

Answer:

55

Step-by-step explanation:

The base angles of an isosceles triangle have the same measure

3x+40 = x+50

Subtract x from each side

3x+40-x = x+50-x

2x+40 = 50

Subtract 40 from each side

2x+40-40 = 50-40

2x = 10

Divide each side by 2

2x/2 = 10/2

x = 5

We want angle A

3x+40

3*5 +40

15+40

55

A physics test is normally distributed. The class average was 79.3, and the standard deviation was 7.5. What percent of students scored between a 68 and 86.8?

Answers

Answer:97.275% or 97.5%

Step-by-step explanation:

help me plz asap ill mark u brainliest

Answers

Answer:

b

Step-by-step explanation:

this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2  and she did that 5 times

this means that the final answer 5 * ( 2 + 2 )

A worker needs to create a 4-character password. The worker can use alphabet as well
as number(0-9) and 4 special characters. How many outcomes are possible?

Answers

Answer: 2560000

Step-by-step explanation:

Given, A worker needs to create a 4-character password.

Worker can use :

Alphabets, numbers and 4 special characters

Total alphabets = 26

Total digits = 10

So, total characters he can use = 26(alphabets) + 10 (digits) +4 (special characters)

= 26+10+4 = 40

Since, there is no pattern or condition is provided to choose them.

So, the total possible outcomes to create a 4-character password. = [tex](\text{Total characters})^4=40^4=2560000[/tex]

Hence, the total possible outcomes = 2560000

Verify the identity cosx cos(-x) - sinx sin(-x) =1

Answers

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

cos(x) cos(-x) - sin(x) sin(-x) = 1

Hint: | Cosine is an even function.

Use the identity cos(-x) = cos(x):

cos(x) cos(x) - sin(-x) sin(x) = ^?1

Hint: | Sine is an odd function.

Use the identity sin(-x) = -sin(x):

cos(x) cos(x) - -sin(x) sin(x) = ^?1

Hint: | Evaluate cos(x) cos(x).

cos(x) cos(x) = cos(x)^2:

cos(x)^2 - ( - sin(x) sin(x)) = ^?1

Hint: | Evaluate -(-sin(x)) sin(x).

-(-sin(x)) sin(x) = sin(x)^2:

cos(x)^2 + sin(x)^2 = ^?1

Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.

Substitute cos(x)^2 + sin(x)^2 = 1:

1 = ^?1

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer: (identity has been verified)

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?

Answers

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

Answer:

185.43 mm 2

Step-by-step explanation:

,.

.

.

.

.

.

.

.

18
What is the value of y?
10
2y + 4
10 + 2x
5

Answers

Step-by-step explanation:

8

ahhdhdvab ah a. b b b n n bk.

For this graph, Mark the statements that are true.

Answers

A is the correct answer

can someone help me on these 2 questions?

Answers

7. x=20

8. x=19

Step-by-step explanation:

7. The shape is a parallelogram and the angles that are labeled are opposite from each other, meaning that they are congruent. So, 4x-40=2x (and solve)

8. Same case as last time (parallelogram), and the angles labeled are congruent. So, 2x+19=3x (and solve)

is it possible to make a quadrilateral with any four dots as corners?

Answers

Answer:

Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.

Step-by-step explanation:

Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!

So any other 4 sided shape that is quadrilateral could be made.

The picture below shows all branches of quadrilaterals.

Answer:

No

Step-by-step explanation:

No.

For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.

Answer: No

Given a = 4, b= -2 and c= 8, evaluate a - b - C.
-14
-6
0-2

Answers

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

Given that

[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]

Let's solve now

[tex]a - b - c[/tex]

[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]

Given

a = 4

b= -2

c= 8

To find out:

Find the value of a - b - c ?

Solution:

a - b - c

Putting the value in the above

4 - ( - 2 ) - 8

4 + 2 - 8 [ - - = + ]

6 - 8

-2

What is the value of m+(6n-1) when m=3 and n=1?

Answers

Answer:

8

Step-by-step explanation:

you do the brackets first so (6n-1) would be 6-1 which equals 5

now we have m=5, m is 3 so 3+5=8

EEEEEEEEEEEEEEEEEEEEEEEEEE

The sum of three numbers is 16. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 85. The difference between 4 times the first number and the second number is negative 3. Find the three numbers.

Answers

Answer:

            1, 7, 8

Step-by-step explanation:

x, y, z   -  numbers to find

The difference between 4 times the first number and the second number is negative 3:

4x - y = -3

  - y = -3 - 4x

    y = 3 + 4x

The sum of three numbers is 16:

x + y + z = 16

x + 4x + 3 + z = 16

 5x + z = 13

  z = 13 - 5x

The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 85:

2x + 5y + 6z = 85

2x + 5(3 + 4x) + 6(13-5x) = 85

2x + 15 + 20x + 78 - 30x = 85

      -8x + 93 = 85

        -8x = -8

          x = 1

y = 3 + 4•1 = 7

z = 13 - 5•1 = 8

Veryfying:

1 + 7 + 8 = 16

2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85

will mark bianleast
Find the mean of the data in this set.



9.4

6

8.5

8

Answers

Answer:

The mean is 7.975.

Step-by-step explanation:

Answer:

The correct answer is  9.4, Hope this helps!

Step-by-step explanation:

I took the test and this was the correct answer!

What is the solution of 3square root x+8 = -4?
• x=-72
• x=-66
• x=58
• no solution

Answers

Answer:

No solution

Step-by-step explanation:

I'd suggest you try to solve this first:  3√(x + 8) = 4.  First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9.  We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function.  No solution.

If we now write 3√(x + 8) = -4   (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9.  If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.

The solution for the given equation is 16.

The given equation is 3√x+8=-4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

Now, 3√x+8=-4

⇒ 3√x=-4-8

⇒ 3√x=-12

⇒ √x=-12/3

⇒ √x=-4

Squaring both the sides, we get

x=16

Therefore, the solution for the given equation is 16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?

Answers

Answer:

A. M less than or equal to 17

Step-by-step explanation:

Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:

A)

(–1,–4)

B)

(1,–4)

C)

(–1,4)

D)

(–4,–1)

Answers

B lies on the function

Answer:

c

Step-by-step explanation:

Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
in a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?

Answers

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

Which statement about this figure is true?
a. it has rotational symmetry with an angle of rotation of 90°

b. it has no reflectional symmetry

c. it has reflectional symmetry with two lines of symmetry

d. it does not have symmetry point​

Answers

Answer:

a. it has rotational symmetry with an angle of rotation of 90°

Step-by-step explanation:

Find the first five terms of the geometric sequence a1=0.3,an=10an-1

Answers

Answer:

{0.3, 3, 30, 300, 3000}

Step-by-step explanation:

Here a(1) = 0.3, and

        a(2) = 3, and

         a(3) = 30, and

          a(4) = 300, and

          a(5) = 3000

The first term (given) is 0.3, and the common ratio is 10.

The price of gasoline increased 25% from July to August. If c = cost of gasoline in July, write two expressions that represent the price of gas in August. If you know the cost of gas in July, which expression do you think would be easier to use to calculate the cost of gas in August and why?

Answers

Answer:

Wrote it in the explanation :)

Step-by-step explanation:

Expression One: c + 25% = price of gas in august

Expression Two: c + 0.25 = price of gas in august

Expression Two would be easier to use if we knew "c" because the numbers are already in decimal form. If it were in percentage form, it would cause us an extra step to  convert it into a decimal.

Please tell me if you have any further questions...

Hope this helped!!

Which of these triangle pairs can be mapped to each other using a reflection and a translation?
OL
A
R
K
K
Q
A
P
R

Answers

Answer: The first one

Step-by-step explanation:

It is being reflected over the x axis and It is translated

Which is the graph of y?

Answers

Replace x with a number and solve for y. Plot the points out on a graph.

See the attached picture.

Rotate the image.

Select the correct answer from each drop-down menu.
Shape I is similar to shape II.​

Answers

Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

Answer:

The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2

Step-by-step explanation:

How many triangles???

Answers

Answer:

4

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

Answer:

9 triangles

Step-by-step explanation:

explain the triangle angle sum property

Answers

Answer: explanation below

Explanation: The triangle sum property states that a triangle’s angles always add up to 180 degrees. Whether or not the triangle is acute, obtuse, or right, all of its three angles always add up to 180 degrees.

Answer:

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

Step-by-step explanation:

A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)

Answers

Answer:

C. (9, 13)

Step-by-step explanation:

y = mx + b

y = (1/2)x + b

(-7, 5)

5 = (1/2)*(-7) + b

5 = - 7/2 + b

b = 5+ 7/2 = 10/2 + 7/2 = 17/2

y = (1/2)x + 17/2

C. (9, 13)

13 = (1/2)*9 + 17/2

13 = 26/2

13=13  True

Answer:

It is C (9,13)

Step-by-step explanation:

took the test on edge

The box plots show Devonte’s scores in Spanish and in French. Spanish 2 box plots. The number line goes from 50 to 100. For Spanish, the whiskers range from 55 to 95, and the box ranges from 60 to 85. A line divides the box at 70. For French, the whiskers range from 55 to 90, and the box ranges from 65 to 80. A line divides the box at 75. French Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct? Devonte is correct because the range is greater for French. Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish. Devonte is not correct because the interquartile range is less for Spanish.

Answers

Answer:it's D i took the test.

Answer:

B

Step-by-step explanation:

i took the test

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