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
Leni [432]
3 years ago
9

X^2+ 6x + 8 Vertex: Axis of symmetry: Y-intercept: X-intercept:

Mathematics
2 answers:
algol133 years ago
6 0

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)

To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3

To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)

To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).

Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).

Bogdan [553]3 years ago
4 0

Answer:

( + 2 ) ( + 4 )

Step-by-step explanation:

You might be interested in
If point F is the midpoint of segment DE, which statement is true?
FinnZ [79.3K]
Segment DF is 1/2 the length of Segment DE. Since the entire segment is DE and it's midpoint is at F, the segment would be broken into 2 equal segments in one. Segment DF and FE. Segment DF is congruent to Segment FE.
5 0
3 years ago
If MP=6x-5,QR=3x+1, and RN=6, what is QN
stepan [7]

Answer:

12

Step-by-step explanation:

12

7 0
3 years ago
40 points help please
JulsSmile [24]

Answer:

y+x is greater than or equal to -1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
xxTIMURxx [149]

Answer:

Q1) Final cost = y*0.85*1.05  

Q2) Perimeter = 0.1*x - 16

Q3) One over five ( m - 100)

Step-by-step explanation:

We are given three question as follows:

Q1) Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Solution:

Note: The effect of each percentage on original price is as follows, where y is the original price of the DVD:

                        Discount of 15 % = Price reduced by 0.15*y

                        Sales Tax of 5% = Price increased by 0.05*y

- The resulting prices from each percentage is:

                        Amount left after discount = y - 0.15*y = 0.85*y

                        Amount after tax = y + 0.05*y = 1.05*y

- The factors of each affect are:

                        Factor of discount = 0.85

                        Factor of Tax          = 1.05

Hence, The factors are multiplied by the original cost to get the combined effect as follows:

Answer:            Final cost = y*0.85*1.05                

Q2) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5*x + 9, 3x, and - 3.4*x - 25.

Solution:

               The perimeter of the triangle is the sum of all 3 sides given:

                        Perimeter = (0.5*x + 9) + (3x) + ( -3.4*x - 25 )

                        Perimeter = (0.5*x + 3x - 3.4x) + ( 9 - 25 )

Answer:           Perimeter = 0.1*x - 16

Q3) Which expression is equivalent to one over five*m − 20?

Solution:

- Re-write expression:

                                                   (1 / 5)*m - 20

Take LCM of the denominator:

                                                  (m - 100) / 5

Answer:                             One over five ( m - 100)

7 0
3 years ago
Read 2 more answers
How many year and months did it take to build blackpool tower england
jeka57 [31]
<span>The Blackpool Tower took 3 years to build using about 2,500 tons of steel and 5,000,000 bricks. The tower was officially opened to the public in 1894. The architects of the project, Messers Maxwell and Tuke, died before the building was completed.</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which three-dimensional figure has the greatest number of faces?
    13·2 answers
  • If z is the centroid of angle RST, RZ= 42, ST= 74, TW= 51, ZY=23 and find each measure
    6·1 answer
  • I need help please and can you explain <br> ANSWER ASAP!!!!
    7·1 answer
  • What is the scale factor of the dilation of triangle ABC to triangle DEF?
    9·2 answers
  • In which year did the population grow the fastest ? Justify your answer using the average rate of change
    13·1 answer
  • Which function is graphed here?
    11·2 answers
  • What is the area of the triangle ? <br><br> A) 64 <br> B) 56<br> C) 48<br> D) 112
    11·1 answer
  • The local dealership advertised 0% APR for 48 months on a new car with MSRP of $28,650. How much interest would you be paying af
    10·1 answer
  • Mr. Martinez wants to get a cell-phone plan.He has two deals:
    12·1 answer
  • WHAT TIME IS A QUARTER TO SIX?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!