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
luda_lava [24]
3 years ago
15

Hi. Please help me with these questions See image for question.Answer no 6 and 7

Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

  • 6. See solution
  • 7. k = 2, k = -6

Step-by-step explanation:

6.

<u>Given equation:</u>

  • 2(x + 2)² + p(x + 1) = 0
  • The sum of the roots is q1 and the product of the roots is q2

Need to show that q1+q2 = 0

<h3>Solution</h3>

<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>

  • 2(x + 2)² + p(x + 1) = 0
  • 2x² + 8x + 8 + px + p = 0
  • 2x² + (p + 8)x + (p + 8) = 0

<u>Sum of the roots: </u>

  • q1 = - b/a = -(p + 8)/2

<u>Product of the roots:</u>

  • q2 = c/a = (p + 8)/2

<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>

  • q1 + q2 = -(p + 8)/2 +  (p + 8)/2 = 0

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

7.

<u>Given quadratic equation:</u>

  • x² - (k + 2)x + 4 = 0
  • It has equal roots

Need to find the possible values of k

<h3>Solution</h3>

<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>

  • D = 0
  • √b² - 4ac = 0
  • √(-k -2)² - 4*1*4 = 0
  • √k² + 4k + 4 - 16 = 0
  • √k² + 4k - 12 = 0
  • k² + 4k - 12 = 0
  • k = {-4 ± √4² -4*1*(-12)}/2
  • k = (-4 ± √16 + 48)/2
  • k = (-4±√64)/2
  • k = -2 ± 4
  • k = 2, k = -6
You might be interested in
40 POINTS!!!!! LOOK AT ATTACHMENTS<br><br> AND NO BS ANSWERS EITHER JUST TO GET POINTS
Sever21 [200]
8*1/2=4.
2*4=8
The numerator is 4+8 which is 12
the denominator is 2
So, you have 12/2, which is 6
7 0
3 years ago
Read 2 more answers
One of the goats on Diane's farm is sick and has a high fever. Over the course of 4 hours, its
Effectus [21]

Answer:

-2.8 / 4

Step-by-step explanation:

4 0
2 years ago
Need help on problem 10
Shkiper50 [21]
The Perimeter of Triangle ABC would be 60.
You can solve this by setting up proportions.

3 0
3 years ago
Find the value of this expression if x = 3<br> and y = -1.<br> xy²<br> 5
kap26 [50]

Answer:

<h2><em><u>0.6 = 6/10 = 3/5 is the answer.</u></em></h2>

Step-by-step explanation:

0.6 = 6/10 = 3/5

is the answer

This is because you have to substitute.

Given:

x = 3

y = -1

Unknown:

Final Answer

(x*y^2)/5

((3)(-1*-1)/5

= (3*1)/5

<h2><em><u>= 3/5</u></em></h2><h2><em><u>= 6/10</u></em></h2><h2><em><u>= 0.6</u></em></h2><h2><em><u></u></em></h2>

Hope this helped,

Kavitha

6 0
3 years ago
Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7
natka813 [3]
<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

6 0
3 years ago
Other questions:
  • The owner of the pizza chain wants to monitor the total weight of pepperoni. Suppose that for pizzas in this population, the wei
    12·1 answer
  • Why help me!!!!!!!!!!
    7·1 answer
  • Ray picked 30 apples and put them equally into 3 baskets. Then he ate two of the apples in a basket
    12·2 answers
  • Name the property shown by each statement : 3+(x+4) = (x+4)+3
    14·2 answers
  • What is 5 dived by312 for 5th
    5·1 answer
  • 3(4a+7)=5(2a+4)+1 What is it?
    9·1 answer
  • In a regular deck of cards (52)<br>p(ace | face card)=​
    6·2 answers
  • PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
    5·1 answer
  • Sally's age is 2 plus 3 times John's age. Together, Sally and John's age equals 30. How old is Sally?
    9·1 answer
  • PLEASE HELP ASAP!!! Normal people- me- I WILL MARK FIRST ANSWER BRAINLIEST BUT IT HAS TO BE AN ACTUAL ANSWER (the question is in
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!