Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The number of positive solutions to this equation is _______ . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is _______ .

Answers

Answer 1

Answer:

-1 ± 3i√6

Step-by-step explanation:

Please write this quadratic equation as follows:  x^2 + 2x + 7 = 21.  The " ^ " indicates exponentiation.

The coefficients of this quadratic are 1, 2, 7.

Thus, the "discriminant" b^2 - 4(a)(c) is  (2)^2 - 4(1)(7), or 4 - 28, or -24.

Because the discriminant is negative, this quadratic has two different complex roots:

      -b ± √[ discriminant ]          -2 ± 2i√6      

x = ---------------------------------  =  -----------------  = -1 ± 3i√6

                 2a                                     2


Related Questions

+7z+12
x +4x+3
+4x+3
Multiply:

Answers

Answer:

The answer will be 7z+20x+6

First combine like terms: 7z+18+9x then you can’t really multiply it

Janitors at Strickland High School empty 25 trash cans each day. The design of

each trash can is shown below.

Height- 4.5 inches

Length- 3 inches

Width- 2 inches

What is the total volume of trash that the janitors empty each day?

Round to the nearest tenth and don't forget to include units. The tick mark

on the numbers represents inches.

Answers

Answer: 675 cubic inches of trash

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the volume of each trash can :

Volume of a rectangular prism: width x length x height

Replacing with the values given:

V = 2 x 3 x 4.5= 27 cubic inches

Since there are 25 trash cans every day, we have to multiply the volume of each one by 25.

27 x 25 =675 cubic inches of trash

Feel free to ask for more if needed or if you did not understand something.

ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯¯ ? Round to the nearest hundredth. Enter your answer in the ​

Answers

Answer:

RT = 9.200 cm

Step-by-step explanation:

[tex]RT = \sqrt{ {11}^{2} - {6}^{2} } \\ RT = \sqrt{121 - 36} \\ RT = \sqrt{85} \\ RT = 9.219 \: cm \\ RT = 9.200 \: cm[/tex]

Please answer. Question in picture.

Answers

Ans

Step-by-step explanation:

Invctyy was a great night and my friend and asked for him and I asked her if y’all

Which measurement shows how much space is inside a rectangular prism?
A.
faces
B.
area
C.
perimeter
D.
volume

Answers

Answer:

D:  volume

Step-by-step explanation:

A circle has a diameter of 12 inches.
12 in.
What is the area of the shaded sections? Use 3.14 fors and round to the nearest hundredth.

Answers

Answer:

113.04 sq. in.

Step-by-step explanation:

will make bianleast
Find the perimeter of the square.


64 ft

16 ft

8 ft

32 ft

Answers

Answer:

32 ft

Step-by-step explanation:

The perimeter is basically the area of the outside of a shape. To calculate this, you would add up all the sides together and get the answer.

8 + 8 + 8 + 8=32 or you can just do 8*4 which is also 32

So, the answer is 32

Which of the following closed sets of ordered pairs is not a function?

A
{(3, 2), (4, 6), (5, 8)}

B
{(2, 1), (3, 2), (4, 3)}

C
{(1, 2), (2, 5), (1, 3)}

D
{(2, 4), (5, 3), (4, 1)}

Answers

Answer:

C

Step-by-step explanation:

7. The original price of a bicycle is $700. It is discounted by 50%. What is the sales price of
the bike?

Answers

Answer:

$350.

Step-by-step explanation:

50% translates over to 1/2, so you take the price of $700 and multiply it by 1/2. You then get $350, which is half of $700.

700/2 = $350 (sales price)

While shopping for clothes, Daniel spent $34 less than 3 times what Jaclyn spent. Daniel spent $14. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent.

___x - ___ = ___

Jaclyn spent $____

Answers

Answer: Jaclyn spent $48

Step-by-step explanation:

3x - 34 = 14

3x = 14+34

X = 48/3 = 16

Answer:

spent 48$

Step-by-step explanation:

How many terms does the expression 7x - 2y + 5 have? A. 3 B. 2 C. 1 D. 0

Answers

Answer: A. 3

Step-by-step explanation: You can't put x and y together. There are two different variables. Then the 5, is just can't add together with another number because the numbers have a variable with it.

Please mark me brainliest bc one more to get a higher rank :)

Answer:

A. 3

Step-by-step explanation:

7x is a term

-2y is a term

5 is a term

So there are 3 terms

I hope this helps

Starting at origin. do 4 spaces down and then 2 spaces to the right

which is it

A. (-4,2) B. (-4, -2) C. (2, -4) D. (-2, -4)

Answers

Answer:

A. (-4,2)

Step-by-step explanation:

Please answer this question and i will mark you brainliest.

Answers

Answer:

4 altogether

0,1 + 1, 1 = 1 RA

0,1 + 2,1 = 1 RA

0.2 +1, 2 = 1 RA

0,2 +2,2 = 1 RA

Step-by-step explanation:

i will mark brainliesttt!

Answers

Answer:

d = 52

Step-by-step explanation:

The two angles form a straight line so they are supplementary

Supplementary angles add to 180

d+128 = 180

Subtract 128 from each side

d+128-128 = 180-128

d = 52

Answer:

52

Step-by-step explanation:

so to solve this one, you have to get the value of d.

for this you need to first subtract the given angle from 180.

180-128=52

that is the value of d :) if u need any more help post a question, ill follow you!

WILL GIVE BRAINLIEST

Answers

1. True
2. False
3. True

Joe has 1/2 of a yard of fabric that needs to be cut into thirds. What is the fractional part of each third?

Answers

Answer:

1/6 of a yard

Step-by-step explanation:

1/2 of a yard x 1/3 of a yard = 1/6

When you find the surface area of a cube, you ________ the length of the cube and multiply by 6.
A-square
B-add
C-cube
D-divide

Answers

Answer:

A-square

Step-by-step explanation:

The formula for the surface area of a cube is:

SA = 6a²

where a is the length of the cube

Janet saved $3500 in 2007. If each year after
this she saves $750 more than the year before,
how much will she save in 2012?
(A) $5750
(B) $6500
(C) $7250
(D) $8000
(E) $8750

Answers

Answer:

7250

Step-by-step explanation:

The equation would be as follows

3500+750x=y

Between 2012 and 2007, there are 5 years, thus x=5

3500+750(5)=7250

The Answer is: (C) $7250

help meeeeeee please :(

Answers

Step-by-step explanation:

As the triangle is right angled :

sin of angle = 19/24

angle = 52.3⁰

Answer:

52,3°

Step-by-step explanation:

[tex]sin( \alpha ) = \frac{19}{24} [/tex]

[tex] \alpha = 52.3[/tex]

A mother has one allele for color blindness and one allele for normal vision
What is the probability that her gamete will have the allele for color
blindness?
A. 0%
O B. 25%
C. 75%
D. 50%

Answers

Answer:

i say 50%

Step-by-step explanation:

if there is an outcome of 2

then there is a 50% chance she either has normal visions or color blindness

Answer:D

Step-by-step explanation:

The standard configuration for an Arizona license plate is 3 digits (0 - 9) followed by 3 letters (of 26). If you can not repeat digits or letters, how many plates (NO COMMAS NEEDED) can be made?

Answers

Answer:

11232000 plates

Step-by-step explanation:

To find the number of plates that can be made, we just need to check for each space filled how many possible values it can take:

We have 3 digits that can not repeat, so the first digit has 10 possible values (all digits from 0 to 9), the second digit has 9 possible values (as one is already taken) and the third digit has 8 possible values.

For the letters, the first one has 26 possible values, the second one has 25 and the third one has 24.

So the number of different plates is the product of all these possibilities for each digit and letter:

10 * 9 * 8 * 26 * 25 * 24 = 11232000 plates

Solve -4x + 2(5x - 6) + 2x = 44 for x

Answers

The value of X is 7.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

X = 7

-4x + 2(5x - 6) + 2x = 44

GROUP LIKE TERMS

-4x + 2x = -2x

-2x + 2(5x -6) = 44

-2x + 10x - 12 = 44

8x - 12 = 44

ADD 12 ON BOTH SIDES

8x = 56

DIVIDE 8 ON BOTH SIDES

x = 7

What is the volume of the cone? Cone

Answers

Answer: done is five

Step-by-step explanation:

There is five because if you can tell what is the l s what in it

Answer:

V=1/3 Bh 

Step-by-step explanation:

Which of the following is a benefit of contributing to a retirement account? ​

Answers

taxable income is reduced

Answer: taxable income is reduced

Step-by-step explanation:

25 points and brainly please help quick


Doug records how many miles and how long he rides his bike each day on a scatter plot.



Doug analyzes his data on the scatter plot and concludes that the more time he rides his bike, the slower his speed is. In two or more complete sentences, explain why or why not it is possible for Doug to make his conclusion based on his data.

Answers

Answer:

the plot shows he had a speed of 0.20 miles but the longer he travels the slower he gets, so his last speed is 0.17 miles a minute

Step-by-step explanation:


The ordered pairs (12, 32), (x, 40), (18, 48), (21, y) represent a proportional relationship. Find the values of x and y. Select the two correct answers.

x = 14

x = 15

x = 17

y = 62

y = 56

y = 78

Answers

Answer:

This is the closest thing I could get

x=15

Y=56

Step-by-step explanation:

The difference between 32 and 12 is 20

So the difference between x and 40 is 25

Between 48 and 18 its 30

And last between 21 and y is 35

Please answer CORRECTLY , Will mark brainliest !!!!!!

Answers

Answer:

answer c

Step-by-step explanation:

khan

Answer:

Step-by-step explanation:

C

Tara works at an electronics store as a salesperson. She receives a weekly salary of $375 plus she makes commission in the amount of 5% of what she sells. Which of the following represents her total earnings, E, in terms of s, the number of electronics she sells, not including any taxes?
A.
E + 5s = 375
B.
E = 375 + 5s
C.
E + 0.05s = 375
D.
E = 375 + 0.05s

Answers

Answer:

D.

E = 375 + 0.05s

Step-by-step explanation:

if 3/x=5/y then what is the value of y/x?
plss help

Answers

Answer:

Step-by-step explanation:

3/x=5/y

3y/x=5

y/x=5/3

Completed the table of values using the function y=4x-3. Graph the function on the coordinate plane.

Answers

Answer:

Step-by-step explanation:

substitue values in the table into the equation.

x = 2, then y = 4(2)-3 =>

y= 5

y = -3, then -3 = 4x-3 =>

x = 0

x = -1, then y = 4(-1) - 3 =>

y = -7

x = 3, then y = 4(3) -3 =>

y = 9

y = 1, then 1 = 4x - 3 =>

x = 4

now plot all of these points and create a line from them

Other Questions
Who are the first settlers of Russia? A jar contains 100 tickets for a drawing. Among those tickets are 7 winning tickets. What are the odds in favor of winning?A.7:93B.7:100C.93:7D.93:100 If 37 milliliters of a 2.6 M CSOH solution is needed to exactlyneutralize 74 milliliters of an HBr solution, the molarity of the HBrsolution is PLLZZZZZZZZZZZZ HELP WILL GIVE BRAINLIEST FOR GOOD ANSWERI'LL GIVE U THE TEXT OF THE STORY IF U REPLY !!!!!!!!!!!!!!!Reread lines 41-56. What are Cousteaus two main reasons for his claim that we should explore the oceans? Which angles are alternate exterior angles with angle 11?5 and 137 and 156 and 168 and 14 what was the significance of the Lincoln-Douglas debates in 1858 Phytoplankton can gain nutrients from whale poop. True False Which of the following is equal to7 1/4? According to cell theory which is made of cells Plz help I need to find one example of anecdotes, statistics and facts repetition,inclusive language,rhetorically questions,exaggeration Hyperbole, emotive language,stereotypes, alliteration, similes, metaphors and generalisation and explain what it makes the audience feel/do A mercury manometer (\rhorho= 13,600 kg/m^3) is connected to an air duct to measure the pressure inside. The difference in the manometer levels is 30 mm, and the atmospheric pressure is 100 kPa. (a) Determine if the pressure in the duct is above or below the atmospheric pressure. (b) Determine the absolute pressure in the duct. Translate this into FrenchWould you be my date to Prom tonightGoodbyeI love your outfit What are the solutions to the equation x2 + 6 x = 40 21=b/-19 solve for b Cultures in several parts of the world differ primarily between practices andA. biologyB. beliefsC. environmentD. pace of life Which sentence is correct?A.) Let's go to the mall there are 15 different sneaker shops I want to check out.B.) Let's go to the mall, there are 15 different sneaker shops I want to check out.C.) Let's go to the mall; there are 15 different sneaker shops I want to check out. Select the expression that is equivalent to 48 + 12. Which of these work together in a feedback loop?A. Insulin and glucagonB. Pancreas and large intestineC. Testes and sweat glandsD. Glucose and calcium ions submit an updated opening scene for Hamlet--i.e., the appearance of the ghost.Standards for SuccessThe scene is reproduced in a satisfactory manner, following the plot outline as much as possible, but incorporating a more modern situation.The main character is charged with exacting some form of retribution.The language used closely mirrors Shakespeare's language. ASAP pls answer all and if you are right I will mark brainiest and do a give away i