1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gennadij [26K]
3 years ago
15

Find a quadratic polynomial whose sum and and product is -7 and -2

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0

Answer:

<h2>x²+7x-2 = 0</h2>

Step-by-step explanation:

The general form of a quadratic equation with roots a and b is expressed as shown;

x²-(sum of root) x + (product of roots) = 0

x² - (a+b)x + ab = 0 ... 1

Given the sum of roots a+b = -7

Product of roots ab = -2

Substituting this values in equation 1 above wil give;

x²-(-7)x+(-2) = 0

x²+7x-2 = 0

The resulting quadratic polynomial is x²+7x-2 = 0

You might be interested in
15. Scott and Tara were asked to find the
Dmitriy789 [7]

Answer:

Both Scott and Tara have responded correctly.

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=(1/2)[b1+b2]h

we have

b1=16 cm

b2=24 cm

h=8 cm -----> <em>Note</em> The height is 8 cm instead of 18 cm

substitute

A=(1/2)[16+24](8)

A=160 cm²

<em>Verify Scott 's work</em>

<em>Note</em> Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)

Remember that the Commutative Property establishes "The order of the addends does not alter its result"

so

(24+16)=(16+24)

A = (1/2)(24 + 16)(8)=160 cm²

<em>Verify Tara's work</em>

<em>Note</em> Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)

A = (1/2)(16+24)(8)=160 cm²

5 0
3 years ago
The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz
Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

N = \dfrac{z^2 \cdot p \cdot q}{e^2}

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

N = \dfrac{1.645^2  \times 324}{3^2} = 97.4169

Therefore the appropriate sample size, N ≈ 97 adults.

8 0
3 years ago
Please help! Will give brainliest
jekas [21]

Answer:

5/16??? I think

8 0
3 years ago
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
2 years ago
5(x+7)+2 = 4(x - 1) + 1
Nadya [2.5K]

Answer:

x = -40

Step-by-step explanation:

First we distribute

5x + 35 + 2 = 4x - 4 + 1

Collect like terms

5x + 37 = 4x - 3

Subtract 37 from both sides

5x = 4x - 40

Subtract 4x from both sides

1x = -40 OR x = -40

6 0
3 years ago
Read 2 more answers
Other questions:
  • If a snail can crawl 2/ 3 yard in 1/5 hour, how many yards can the snail crawl in 1 hour?
    7·2 answers
  • Look at the following number sequence.
    10·1 answer
  • Members of the drama club sold T shirts for their upcoming musical. Of the 80 T shirts sold, 55 % were size medium. How many of
    6·1 answer
  • Please how me choose all answers that apply
    10·2 answers
  • If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45
    7·1 answer
  • Please help! Question above
    9·1 answer
  • 2-(3x-4)=2x-9<br><br> Please give step by step answer!! Thanks!
    6·2 answers
  • Can someone help me with this​
    5·1 answer
  • Saitima could take Goku <br><br> True or false? <br><br> Be sure to explain your reasoning
    5·1 answer
  • What is the perimeter of this triangle 3x+10, x-7
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!