3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 + 3 D) 0 = 2(x + 5)(x + 3)

Answers

Answer 1

Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

10x = 50

x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.


Related Questions

The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly. 370 ÷ 2.5 ÷ 1.6 = 925

Answers

Answer:

92.5

Step-by-step explanation:

When you would look at this you would just see that there are if you divide 370 by 2 and 2 again you will not get a small number so the only logical answer is 92.5

The number would be 92.5

First, we have to convert decimal to fraction

  370/(25/10 * 16/10)

now, reduce the expression to the lowest term

  370/4

reduce the fraction

185/2

=92.5

What are Decimals?

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator

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Short Response 16. Parallel lines p and q are cut by transversal t to form angles 1-8. If 22 and 27 are alter- nate exterior angles, 27 and 26 are vertical angles, and 26 and 24 are consecutive interior angles, what can you conclude about the relationship between the angle measures of 22 and 24? Explain.

I don’t understand how to solve this, please help!!​

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.

The area of a rectangle is 560 cm^2. The length is 3 more than twice the width. Find the dimensions of the rectangle.

Answers

Let the width be x.

Then,length = 2x + 3

Area of rectangle = 560 [ Given ]

⇒ l × b = 560

⇒ ( 2x + 3 ) x = 560

⇒ 2x² + 3x - 560 = 0

⇒ 2x² + 35x - 32x - 560 = 0

⇒ x ( 2x + 35 ) - 16 ( 2x + 35 ) = 0

⇒ ( x - 16 ) = 0 and ( 2x + 35 ) = 0

⇒ x = 16 and x = -35/2 [ Ignore negative number ]

★ Width = x = 16 cm

★ Length = 2x + 3 = 2 × 16 + 3 = 32 + 3 = 35 cm

Determine the value of
x isosceles triangle?

Answers

Answer:

x = 13ft

Step-by-step explanation:

The isosceles triangle is a polygon with three sides, two being equal and the other unequal.

The angles P and N will also be equal  and the M other different.

PM ≅ MN

∠P ≅ ∠N

PN = 2x

because the line starting at M divides the triangle into two sections

26 = 2x

2x = 26

x = 26 /2

x = 13ft

What is the difference between law and scientific law.

Answers

Answer:

A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.

Step-by-step explanation:

Answer:

law is federal

Step-by-step explanation:

ik

5x+7+3x=-8+3x please solve it before 8:30

Answers

Answer:

x=-3

Step-by-step explanation:

5x+7+3x=-8+3x

Combine like terms

8x+7 = 3x-8

Subtract 3x from each side

8x+7-3x = 3x-8-3x

5x+7 = -8

Subtract 7 from each side

5x+7-7 = -8-7

5x = -15

Divide each side by 5

5x/5 = -15/5

x = -3

Please help me on this question

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

11 students 26 students that 2 small divisions =1 unit =1 student

domain and range of a function

Answers

Answer:

The domain of a function is the set of all possible inputs for the function.  The range of a function is the set of all possible outputs for the function.

Step-by-step explanation:

Austin prepared 20 kilograms of dough after working 5 hours. How many hours did Austin work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.

Answers

Answer: 9 hours

If austin prepared 20 kg of dough in 5 hours, this means he can prepare 4kg of dough an hour. This is because 20/5=4. Knowing this information, it would only make sense that Austin worked for 9 hours to prepare 36 kg of dough.

This is because 36/4=9.

Please mark brainliest and rate! Thank youu

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Austin prepared 20 kg of dough in 5 hours. Now you see he made 4 kg of dough in a hour, wanna know how? divide 20 to 5 = 4

Now thats done, ill show you the steps of how i got the answer 9.

So we will use that 4 we got from 20 divided by 5 and divide 36 by that 4 and we will get our answer!

--> 20÷5 = 4

    36÷4= 9

Which expression is equivalent to (3^4 • 5^4)^-3

A. 1/15^3
B. 15^-48
C. 1/15^12
D. 15^5

Tania chose B as the correct answer, How did she get that?

Answers

3^4*5^4 = (3*5)^4 = 15^4

Raise this to the exponent -3 and we get

(3^4*5^4)^(-3) = (15^4)^(-3) = 15^(4*(-3)) = 15^(-12)

The last step is to use the rule

x^(-k) = 1/( x^k )

So,

15^(-12) = 1/( 15^12 )

The answer is actually choice C

It seems like Tania multiplied all the exponents to get 4*4*(-3) = 16*(-3) = -48, but you only multiply the inner and outer exponents together as I did when I went from (15^4)^(-3) to 15^(-12)

a process used to convert units and rates using a conversion factor and multiplication

Answers

Dimensional Analysis


The area of a triangle is 150 cm- and its sides are in the ratio 3: 4:5. What is its perimeter?
(A) 10 cm
(B) 30 cm (C) 45 cm
(D) 60 cm

Answers

hey, your answer is d) 60cm

Reemu read 1·5 pages of a book. If she read further 40 pages,she would have read 7.10 pages of the book. How many pages are left to be read?

Answers

Answer:

Let total pages be x

ATQ,

(x/5)+40=7x/10

(x+200)/5=7x/10

Cross multiply

10x+2000=35x

10x-35x=-2000

-25x=-2000

x=2000/25

x=80 pages

Therefore pages left= 3/10 of pages

=3*80/10=24 pages

Answer:

(x/5)+40=7x/10

(x+200)/5=7x/10

Cross multiply

10x+2000=35x

10x-35x=-2000

-25x=-2000

x=2000/25

x=80 pages

Therefore pages left= 3/10 of pages

=3*80/10=24 pages

ther u is good person

Solve the equation
(If possible please show work)

Answers

Answer:

x = 0

Step-by-step explanation:

First, distribute the -4 to the parentheses:

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

-4 + 3x = 2x - 4 + 12x

Then, add like terms:

-4 + 3x = 14x - 4

Solve for x:

3x = 14x

0 = 11x

0 = x

Answer:

x=0

Step-by-step explanation:

We are given the following equation and asked to solve. We must solve for x by isolating x on one side of the equation.

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

First, distribute the -4. Multiply each term inside the parentheses by -4.

-4+3x=2x + (-4*1) + (-4*-3x)

-4+3x= 2x -4 + (-4*-3x)

-4+3x= 2x-4+12x

Combine like terms on the right side of the equation. The terms 2x and 12x can be added.

-4+3x= (12x+2x)-4

-4+3x=14x-4

Next, subtract 3x to both sides of the equation.

-4+3x-3x=14x-3x-4

-4= (14x-3x)-4

-4= 11x-4

Next, add 4 to both sides of the equation.

-4+4=11x-4+4

-4+4=11x

0=11x

Finally, divide both sides of the equation by 11.

0/11= 11x/11

0/11=x

0=x

The solution to the equation -4 + 3x= 2x-4(1-3x)  is x=0

Rayée sold 3 desks at the local trade show. H paid $4.00 to rent the booth. He gave half of his revenue to the carpenter and was left with $185.50. At what price did he Rayen sell with each desk

Answers

Answer:

$125

Step-by-step explanation:

Given the following :

Number of desks sold = 3

Amount of rent paid = $4

Amount paid to carpenter = 1/2 of revenue

Amount left = $185.50

At what price did Ryan sell each desk?

If Rayee gave half of his revenue to the carpenter and then had $185.50 left,

The his revenue before paying the carpenter will be twice what he has left ($185.50 * 2) = $371

Hence, total revenue from the sale of 3 desk= ($371 + rent) = (371 + 4) = $375

Then each desk cost :

$375 / 3 = 125

$125

Kathy found a job listed on an employment web site that pays a yearly salary of $27,630. What is
the biweekly salary based on this annual salary rounded to the nearest cent?
Do not include a dollar sign in your answer.​

Answers

Answer:

1151.25

Step-by-step explanation:

You would divide $27,630 by 12 months.

You would then have her monthly salary. Since there are 4 weeks in a month, she has two pay periods. You would divide her monthly salary (2302.5) by two weeks, to get $1151.25


Calculate the total percentage of the shaded
region in both circles.

Answers

Answer:

80%

Step-by-step explanation:

Total area is the area of two circles. Each circle if accepted as a unit, in total it equals to 2 units.

Shaded area:

1 + 3/5 = 8/5

Percentage of shaded area compared to total:

8/5 ÷ 2 = 4/5 = 0.8 =80%

Answer: 80% of all region is shaded

I need help with b and d

Answers

B) -2x - 3y2 + 1 or 1 - 3y2 - 2x (rearrange)
Step-by-step:
add (-9) & (+10) to get (+1) : (-9+10 = 1)
= -4x + y2 + 1 - x + 3x - 4y2
combine (-4x) & (-x) to get (-5x) : (-4x+ (-x) = -4x-x = -5x)
= -5x + y2 + 1 + 3x - 4y2
combine (-5x) & (3x) to get (-2x) : (-5x + 3x = -2x)
= -2x + y2 + 1 - 4y2
combine (y2) & (-4y2) to get (-3y2) : (y2 + (-4y2)) = y2 - 4y2 = -3y2)
= -2x - 3y2 + 1 Or 1 - 3y2 - 2x (rearrange)

---

D) -4xy + 4y2 - y - 10 or -10 - 4xy - 4y2 (rearrange)
Step-by-step:
subtract 20 from 0 to get −20 (0-20 = -20)
= −20 − 5xy + 4y2 + 10 − y + xy
add (-20) & (10) to get (-10) : (-20+10 = -10)
= -10 -5xy + 4y2 - y + xy
combine (-5xy) & (xy) to get (-4xy) : (-5xy + xy = -4xy)
= -10 - 4xy + y2 - y or (-4xy + 4y2 - y - 10) (rearrange)

Write the expression in exponential form.
[tex] \sqrt{10} [/tex]

Answers

Answer: 10^(1/2)

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

[tex]\sqrt{x} = x^{1/2}[/tex]

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

[tex]\sqrt[3]{x} = x^{1/3}[/tex]

Many calculators don't have a button labeled [tex]\sqrt[3]{}[/tex] but they have the button [tex]x^y[/tex] to allow fractional exponents.

8. Which of the numbers in each pair is farther to the left on the number line?
a. 305 and 17
b. 187 and 900
C. 16 and 46
d. 157,019 and 149,984

Answers

a. 305
b. 900
c. 46
d. 157,019

If x * (x + 2) = 49, find x

Answers

Answer:

x = -8.07107, 6.07107

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Write out equation

x(x + 2) = 49

Step 2: Distribute

x² + 2x = 49

Step 3: Subtract 49 on both sides

x² + 2x - 49 = 0

Step 4: Quadratic Formula

a = 1

b = 2

c = -49

x = -8.07107, 6.07107

please help me on this

Answers

Answer:

Median

Step-by-step explanation:

A line that goes from the vertex of a triangle to the midpoint of the opposite side is a median.

The price of a winter coat and a 20% discount​

Answers

Hey, your question is incomplete so, plz write complete question to get the required answer

1.2.41
Yuson used her calculator to solve the equation x-
- 8 = 3. She entered the following on her screen and got an incorrect answer. How
could she use parentheses to find the correct answer? Explain. What is the correct answer?

Answers

Answer:

[tex]x - (-8) = 3[/tex]

[tex]x = -5[/tex]

Step-by-step explanation:

Equation

[tex]x - -8 = 3[/tex]

Solving (a): Using Parenthesis

The equation can be rewritten by putting -8 in a parenthesis as follows;

[tex]x - (-8) = 3[/tex]

Solving (b): The correct answer

[tex]x - (-8) = 3[/tex]

Start by opening the bracket

[tex]x + 8 = 3[/tex]

Subtract 8 from both sides

[tex]x + 8 - 8 = 3 - 8[/tex]

[tex]x = 3 - 8[/tex]

[tex]x = -5[/tex]

Hence, the correct solution is [tex]x = -5[/tex]

If ∠P measures 27°, ∠R measures 135°, and p equals 9.5, then which length can be found using the Law of Sines?

Answers

Answer:

r = 14,8

Step-by-step explanation:

Hope you can read my writing ;-)                                                                                

The length that can be found using the Law of Sine rule is

r= 14.80 units

What is the lenght?

Generally,

Generally, the equation for sin rule is  mathematically given as

[tex]\frac{p}{sinP} = \frac{q}{sinQ} = \frac{r}{sinR}[/tex]

Where

p = 9.5 units

∠P = 27°

∠R = 135°

Therefore

[tex]\frac{9.5}{sin 27^0} = \frac{q}{sin Q} = \frac{r}{sin 135^0}[/tex]

[tex]\frac{9.5}{sin 27^0} = \frac{r}{sin 135^0}[/tex]

9.5 x 0.7071 = r x 0.4540

r = 14.80 units

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Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001.

Answers

Answer: n> or equals to 3

Step-by-step explanation:

Find explanation on the attachment

For each problem, find the missing value using the Pythagorean Theorem

Answers

Answer: [tex]\sqrt{66}[/tex]

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2  where a and b are the two legs.  

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + [tex]\sqrt{50} ^2[/tex]  = C^2

16 +  50 = c^2

  66 = c^2

    c =[tex]\sqrt{66}[/tex]  

My question is 9 + 12n

Answers

Answer:

3(3 +4n)

OR

9 + 12n

Step-by-step explanation:

9 + 12n

Factorize it

3(3 +4n)

OR

The answer is the same.

Since we can't add a number with a number and letter. So in that case the answer is ;

9 + 12n.

Hope it helps!!Please mark me as the brainliest!!!

Thanks !!!!

The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the year 2000 was 10,100 foxes.
a) Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).
b) Use your function from part (a) to estimate the fox population in the year 2008.
c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.

Answers

Answer:

P(t) = I × ( 1 +g)^t

14922

2013

Step-by-step explanation:

Given the following :

Growth rate (g) = 5% = 0.05

Initial population (I) = 10,100

Time (t) = t (t = 0 in year 2000)

A) population function P(t)

P(t) = I × ( 1 +g)^t

P(t) population in t years

I = inital population

g = growth rate

t = years after year 2000

B) Population Estimate in year 2008

2008 - 2000 = 8 = t

P(8) = 10,100 × ( 1 +0.05)^8

P(8) = 10,100 × (1.05)^8

P(8) = 10,100 × 1.4774554437

P(8) = 14922.299 = 14922

C.) Nearest whole year when population will reach over 18,400

18,400 = 10,100 × ( 1 +0.05)^t

18400 = 10,100(1.05)^t

1.05^t = 18400 / 10,100

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

(0.0487901)t = 0.5998152

t = 0.5998152 / 0.0487901

t = 12.293789

To attain a population of 18400 and over, the nearest whole year = 13 years

2000 + 13 = 2013

Find the circumference given the area = 28.3 km². Use 3.14 for π as necessary. A. 18.9 km B. 20.8 km C. 21.4 km D. 37.8 km

Answers

Answer: choice A) 18.9 km

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

Work Shown:

Use the given area A = 28.3 to find the radius r

A = pi*r^2

28.3 = 3.14*r^2

3.14*r^2 = 28.3

r^2 = 28.3/3.14

r^2 = 9.01273885350319 approximately

r = sqrt(9.01273885350319)

r = 3.00212239149292

---------

Which is then used to find the circumference

C = 2*pi*r

C = 2*3.14*3.00212239149292

C = 18.8533286185756

C = 18.9

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