![buddyshaw76](/avatars/14049.jpg)
buddyshaw76
20.10.2021 •
Mathematics
Please please help me with this question please now and show your steps
Solved
Show answers
More tips
- C Computers and Internet How to Set Up Internet on iPhone? Detailed Guide with Step-by-Step Instructions...
- F Family and Home How to Teach Your Child to Speak: Tips and Recommendations...
- P Philosophy Agnosticism: Opinion or Belief?...
- S Style and Beauty How to choose the best mascara for your eyelashes...
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- S Science and Technology Why is there no gravity on other planets?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
Answers on questions: Mathematics
- M Mathematics Sonia is making a quilted wall hanging that is 38 in wide.if each quilt square is 4 3/4 inches wide, how many squares will she need to complete one row of the wall hanging?...
- M Mathematics Kayla receives a bill for $754 for a new sofa. the bill includes a 6.2% tax on the sofa selling price and a $26 delivery fee. to the nearest cent, what was the selling price...
- M Mathematics Can you show me how to solve a math problem 4 (7+9)×3to the second power -6...
- M Mathematics Solve -12=-11+n/-12 use the answer of each problem to travel through the maze from “begin” to “end”....
- M Mathematics What is the toll for the distance he travels?...
- M Mathematics Determine whether -2 is the solution of the equation. 3x-4=6(x+2)...
- M Mathematics What number completes ? /12 = 4/25...
- M Mathematics Can you me solve some math problems...
- M Mathematics What is two minus parentheses eight -5×6 parentheses?...
- M Mathematics The poll showed the incumbent mayor had the support of 12% of the voters plus or minus 3 percent points. write an inequality in absolute value...
Ответ:
a) y-intercept
The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).
b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.
0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +)(x+ )
The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)
So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0
So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7
x-1=0
x= 1
The zeroes are at the points (1, 0) and (7, 0)
C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)
y = x^2 - 8x + 7
y - 7 = x^2 - 8x
We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).
So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).
(x-4)(x-4) multiplies out to x^2 - 8 + 16.
continuing,
y - 7 = x^2 - 8x
Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16
y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.
The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.
D. The vertex is solved in C as the point (-4, -9).
Ответ:
No it doesn’t because in a function you can’t use a number twice on an input or output