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algol [13]
3 years ago
8

What is the vertex of y=x² – 8x + 14​

Mathematics
2 answers:
stealth61 [152]3 years ago
6 0

Answer: V (4,-2)

Step-by-step explanation: The coordinate x from the vertex is

x = -(-8)/2 = 4. Replacing the value of x, we write: y = 4^2 - 8.4 +14;

y = 16 - 32 + 14 ; y = -2.

Therefore, V (4,-2).

ozzi3 years ago
4 0

Answer:

-2

Step-by-step explanation:

  1. Get the equation in the form y = ax2 + bx + c.
  2. Calculate -b / 2a. This is the x-coordinate of the vertex.
  3. To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
You might be interested in
Somebody please help me with this​
satela [25.4K]

Answer:

15/56

Step-by-step explanation:

5 people have a license

3 people don't

? = Probability that first person has a license and second does not

We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.

P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.

P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.

P1 and P2 are dependent events, thus P(1,2) = P1 * P2.

P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56

7 0
2 years ago
What is the value of n in the equation 0=18+128n^2?
lbvjy [14]

Answer:

\large\boxed{\text{no soltion in the set of real numbers}}\\\boxed{n=-\dfrac{3}{8}i\ \vee\ n=\dfrac{3}{8}i\ \text{in the set of complex numbers}}

Step-by-step explanation:

18+128n^2=0\qquad\text{subtract 18 from both sides}\\\\128n^2=-18\qquad\text{divide both sides by 128}\\\\n^2=-\dfrac{18}{128}\\\\n^2=-\dfrac{18:2}{128:2}\\\\n^2=-\dfrac{9}{64}

7 0
3 years ago
What is the slope of (5,5) and (0,1)​
irina1246 [14]

Answer:

4/5

Step-by-step explanation:

Use the formulae

y2-y1 divided by x2- x1 then you will get your slope

3 0
3 years ago
Evaluate y = 7x when x = -5
borishaifa [10]

Answer:

-35

Step-by-step explanation:

7 x -5 = -35

hope this helped!! ^^

5 0
3 years ago
Suppose an apple picker in China earns an average wage of 45 cents per hour. An apple picker can harvest about 2.0 bushels of ap
Eduardwww [97]

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

8 0
3 years ago
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