Solve each quadratic inequality then test their interval of the inequality.
1. x² - x - 20 > 0
2. x² - 2x - 11 < 0
3. x²+ 9x + 14 > 0
4. r² - 10r + 16 > 0​

Answer:

I love this question ,but sorry I didn't get the answer because I don't know how to answer.

Answer: According to the diagram below, which similarity statements are true? Check all that apply.

Step-by-step explanation: ✓ Answer: A, C, and D Step-by-step explanation:3.5.3 test

The solution is,

ACDB = 3 cm²

AAMC = 6 cm²

AABD = 6 cm²

AADC = 3 cm²

AABC = 12 cm²

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

A median divides the area of a triangle into two equal parts. The first median, CM, divides triangle ABC into two equal areas, AMC and BMC. The second median, BD, divides triangle BMC into two equal areas, BMD and CDB.

We're given that ABMD = 3 cm², so ACDB is also 3 cm². The sum of those two areas is ABMC, which is also AAMC, 6 cm².

Median AD also divides ΔAMC in half, so AADC = 3 cm² and AADM = 3 cm². AABD is the sum of ABMD (3 cm²) and AADM (3 cm²) so is 6 cm².

AABC is the sum of the smaller areas, so is 12 cm².

Learn more about Triangle click here:

brainly.com/question/30256538

#SPJ7

Answer:

C

Step-by-step explanation:

[tex]Sin \ 64 = \dfrac{opposite \ side}{hypotenuse}\\\\0.8988 = \dfrac{x}{14}\\\\0.8988 * 14 = x[/tex]

x = 12.5832

x = 12.6

Answer: (3a + 2) • (4a2 - 2a + 9)

(no solution)

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

 (3a + 2) • ((22a2 -  2a) +  9)

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  4a2-2a+9

The first term is,  4a2  its coefficient is  4 .

The middle term is,  -2a  its coefficient is  -2 .

The last term, "the constant", is  +9

Step-1 : Multiply the coefficient of the first term by the constant   4 • 9 = 36

Step-2 : Find two factors of  36  whose sum equals the coefficient of the middle term, which is   -2 .

     -36    +    -1    =    -37

     -18    +    -2    =    -20

     -12    +    -3    =    -15

     -9    +    -4    =    -13

     -6    +    -6    =    -12

     -4    +    -9    =    -13

For tidiness, printing of 12 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 (3a + 2) • (4a2 - 2a + 9)

Answer : 2

Step-by-step explanation:

Slope is a ratio, Slope = rise/run. This can also be described as "the change in Y" / "The change in X"

So, using the table, find the rate of change in the y-values and the x-values.

y = mx + b

slope : m

x=-7, y=2 : -7m + b = 2 (1)

x=-6, y=4 : -6m + b = 4 (2)

(2)-(1) => m= 2

Answer:

7i and 3i

hope this helps <33

Answer:

Step-by-step explanation:

Use foil method

(10 - 3i) (2 -5i) = 10*2 + 10*(-5i)  +  (-3i)*2 + (-3i)*(-5i)

   = 20 - 50i -6i + 15i²

   = 20 - 50i - 6i + 15*(-1)             {i² = -1}

   = 20  - 50i - 6i - 15

   = 20 - 15 - 50i - 6i

   = 5 - 56i

Answer:

0.667 or 2/3

Step-by-step explanation:

Hope it helps!

Using the information given in the table, the number of weeks that would pass before more dogs would have to be washed is 16 weeks.

Given the Parameters :

Recall :

Profit made per week = $124 - $8 = $116

Total amount of profit made :

. Total profit made = $116 × 8 = $928

Total amount owned = $928 + $32 = $960

Number of weeks before total amount owned is expended can be calculated thus :

Number of weeks = ($960 ÷ $60) = 16

Hence, 16 weeks will pass before more dogs would have to be washed.

Learn more : https://brainly.com/question/25631686

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{775(1.47)(8)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{9114}{100}[/tex]

[tex]\\ \sf\longmapsto I=91.14[/tex]

Answer:

91.14  $

Step-by-step explanation:

We know,

Interest = Principle× Rate of Interest× Time

or, 775× 1.47/100× 8

or, 91.14

Therefore, Interest is 91.14 $.

Answer: 3 and a half acres.

Explanation: 7 divided by 2 is 3 and a half acres.

Answer:

y = -2/3x + 2

have a good day :3

Step-by-step explanation:

we need to bring it into the form

y = ax + b

so,

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 2

the slope is the factor of x (-2/3). the y-intercept is 2 (meaning y = 2 for x = 0).

Answer:

D

if you have absolute value of a number it is the distance from 0 to the number

Replace x and y with their given values:

(4(8) + 22(11))

4 x 8 = 32

22 x 11 = 242

32 + 242 = 274

Answer: 274

Answer: 274

Step-by-step explanation:

nszbsjbsjs

Answer:

D. 150-99

Step-by-step explanation:

Difference is defined as the result of subtracting one number from another.

if you like my answer please mark me brainliest <3 !!!

Answer:

-13

Step-by-step explanation:

divide 65 by -5

Answer:

202/29 or 6 28/28 miles

Step-by-step explanation:

58/4=29/2

2/29*101=202/29=6 28/28

8×11/4+12

2×11+12

22+12

33

Answer:

Option B. -4

Step-by-step explanation:

-12 x (1/3)

=> -12 ÷ 3

=> -4

Therefore, -4 is our answer.

Hoped this helped.

Answer:

a

Step-by-step explanation:

it goes 2,4,6,8

and then 8,6,4,2, which is the same thing backwards

Hope this helps!!!! Mark me brainiest!!!!

Answer:

500

Step-by-step explanation:

Out of every 15 people, there are 12 people who prefer eating at restaurants which means that 80% of people (12/15=.8) prefer eating out.

If 400 selected eating at restaurants in a survey, this accounts for 80% of the people that voted.

We can simplify this now to 20%=100 people because 80% is also four-fifths of 100% and the remaining one-fifth will equal 100 people. (400/4=100)

Since the remaining 20% is 100 people, we can do 400+100= 500 people that participated in the survey.

Answer:

9

Step-by-step explanation:

9>6

ex. 92>69

nine is greater than 6, meaning that if a number begins with a 9, it automatically means that it is bigger than a number beginning with a 6.

The two-digit number formed with tens place taken by 9 will be always greater than the two-digit number formed with tens place taken by 6.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Let the two of the multi-digit number be a two digit number.

Now, It is known that the left-most place in a two-digit number is always tens place. Therefore, if a two-digit number is formed by the tens place taken by 6 and the unit digit taken by any other number, then it will always be less than the two digit number formed by formed by the tens place taken by 9 and the unit digit taken by any other number.

Also, if the two numbers are 4 digit numbers, the four-digit number is formed by the thousand place taken by 6 and the other place taken by any other digit, then it will always be less than the four digit number digit number formed by formed by the thousand place taken by 9 and the other place digit taken by any other digit.

Hence, the two-digit number formed with tens place taken by 9 will be always greater than the two-digit number formed with tens place taken by 6.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

9514 1404 393

Answer:

  x = 12

  perimeter = 124

Step-by-step explanation:

The midline RS is half the length of MN, so we have ...

  2×RS = MN

  2(x +3) = 5x -30

  2x +6 = 5x -30

  36 = 3x . . . . . . . . . add 30-2x

  12 = x . . . . . . . . . . divide by 3

__

The length RS is then ...

  RS = x +3 = 15

and the perimeter of QRS is ...

  P(QRS) = QR +RS +SQ = 25 +15 +22 = 62

The perimeter of QRS is half the perimeter of MNP, so ...

  P(MNP) = 2×P(QRS) = 2×62 = 124

The perimeter of ΔMNP = 124.

Answer:

54.87

69.08

Step-by-step explanation:

Answer:

[tex] \frac{5}{3} [/tex]

or 1.6 repeating

Answer:

1) 512.628865979

2) 218.581395349

3) 231.384615385

4) 3962.53333333

5) 150.004

6) 161.161290323

7) 6107.94117647

8) 13.3191489362

9) 403.136363636

10) 59.6326530612

Hope this helps a lot! <3

Answer:

1. 512.628866

2. 218.5813953

3. 231.3846154

4. 3962.533333

5. 150.004

6. 161.1612903

7. 6107.941176

8. 13.31914894

9. 403.1363636

10. 59.63265306

Step-by-step explanation:

Answer:

y = 1/2x - 2

Step-by-step explanation:

Slope: 1/2

Point: (0, -2)

y-intercept: -2 - (1/2)(0) = -2

Answer:

-1/4(5x+3)

-(5/4x+3/4)

Step-by-step explanation:

Hope this helps!