Please help I’ll mark you brainly!

9514 1404 393

Answer:

  A.  f(x) = (x -3)² -1

  B.  vertex: (3, -1); axis of symmetry: x=3; x-intercepts: {2, 4}; y-intercept: 8

  C.  see attached for a graph

Step-by-step explanation:

A. Put the function in vertex form by completing the square. Start by putting parentheses around the terms containing x.

  f(x) = (x² -6x) +8

Now, identify the coefficient of x (-6) and square half of that. (-6/2)² = 9. Add this value inside parentheses, and subtract this value outside parentheses.

  f(x) = (x² -6x +9) +8 -9

Rewrite the trinomial in parentheses as a square. The constant in the binomial will be the value you squared in the previous step.

  f(x) = (x -3)² -1 . . . . . vertex form; a(x -h)²+k for vertex (h, k)

__

B. The vertex and the axis of symmetry can be read from the equation. Here, the vertex is (3, -1). The axis of symmetry is the vertical line through the vertex: x = 3. The x-intercepts are found by solving f(x) = 0.

  f(x) = 0

  (x -3)² -1 = 0

  (x -3)² = 1 . . . . . add the opposite of the 'k' value

  x -3 = ±√1 . . . . take the square root. We need both signs.

  x = 3 ± 1 . . . . . add 3 to get x by itself. These are the x-intercepts.

  x = 3-1 = 2  and  x = 3+1 = 4

The x-intercepts are 2 and 4, points (2, 0) and (4, 0).

The y-intercept is the value of f(0). It is the constant in the original form of the function. f(0) = 8 . . . . y-intercept

__

C. The graph is attached. The various points above are marked, and the axis of symmetry is shown.

Which expression is equivalent to (6 * p ) + 3? *

Mike is a cashier. He works 35 hours and is paid a total of £217
What is Mike's hourly rate of pay? (2 marks)
Your answer

There are places in the world where the forests have been destroyed and trees no longer grow. What needs to take place for a forest to be a renewable resource?



what is the answer?

You are running the concession stand at a volleyball game, selling hot dogs and cans of pop. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you have made exactly $78.50. You know that you have sold exactly 87 items, but cannot remember how many of each. That mean PTA lady will never let you work the concession stand again if you don’t report the correct number of each item sold! How many of each did you sell?

Pls answer both parts clearly and fast thxs❤️

Susan wants to buy containers of paint for herself and each of her 7 friends. What is the least amount of money Susan will need?

In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?

A quantity with an initial value of 380 decays exponentially at a rate of 1% every 4 hours. What is the value of the quantity after 174 minutes,

Student tickets cost $5.75 each, and adult tickets cost $8.50 each.
Which equation can be used to find the total cost c of any number
of adult tickets t?

An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
14
11
?

Determine if the system has no solutions, one
solution, or infinitely many solutions.
y = 3x
y = 3x - 1

A bottle contains 1.6 litres of water.
750 millilitres of the water is poured into a jug.
How much water is left in the bottle

8. A square has side length 6 inches. A parallelogram has a base of 6 inches.
The area of the square is equal to the area of the parallelogram. What is the
height of the parallelogram?

How many wreaths could Diego make with the available ribbon

Please help. Need to find the equation of the tangent at point P. Give your answer in the form y=ax+b where a and b are both fractions with denominator 24. ​

Mental math Solve the equation n/10+5=12

Two friends shop for fresh fruit. Jackson buys a watermelon for $6.45 and 4 pounds of cherries. Tim buys a pineapple for $4.25 and 3 pounds of cherries. Use the variable p to represent how much more Jackson spent.

The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (5,80) and (8128) to find the number of soda bottles the machine can make each minute

Sarah is decorating her house for Christmas with lights. She wants to surround a circular window with special LED lights that makes a pattern. The window has a diameter of 18 inches. How long must the the string of lights be in order to surround the entire window?

There are 2 rectangles. One was 1.2 cm by 3.4 cm. The other was measured 2.1 cm by 1.7 cm. How much is the perimeter?

Please help me with this!!!

HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED

in a box of doughnuts, 4/7 of the doughnuts are chocolate and the rest are filled with jam. what is the ratio of chocolate doughnuts to jam doughnuts

The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?

Arthur’s dinner bill totaled $13.72, before sales tax and tip.

Sales tax at the restaurant is 5.8%.
After sales tax, he left a 15% tip.
What was Arthur’s total bill, including sales tax and tip?
A.13.84
B.14.52
C.15.78
D.16.70

What two numbers are located 3/4 of a unit from 1/10 on a number line?

On a recent day, 8 euros were worth $9 and 40 euros were worth $45. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. Let y be the value In dollars and x be the number of euros. The equation is y =​

Sarah rolled two 6-sided number cubes. Find the probability that the sum of the numbers is equal to 12.

b) Convert 280 millilitres to fluid ounces.
Use 1 fluid ounce = 28.4 millilitres
Give your answer to 1 decimal place.

EASY

You just bought a used car and are determining your monthly costs. Your monthly
car payment will be $252. Your car insurance costs $684 every 6 months.
15. Write a verbal model for the monthly
car expenses.