Graph the equation. y-4=1/4(x-1)²

Answers

Answer 1

Answer: y-4=1/4*(x-1)²
y=1/4(x-1)²+4
the parabola y=1/4x2 with vertex at the point (1;4),the branches up,x=1 is the axis of symmetry intersects the axis of the OY at the point (0;4 1/4)

Answer 2

Answer: y - 4 = ¹/₄(x - 1)²
y - 4 = ¹/₄(x - 1)(x - 1)
y - 4 = ¹/₄(x² - x - x + 1)
y - 4 = ¹/₄(x² - 2x + 1)
y - 4 = ¹/₄(x²) - ¹/₄(2x) + ¹/₄(1)
y - 4 = ¹/₄x² - ¹/₂x + ¹/₄
+ 4    + 4
   y = ¹/₄x² - ¹/₂x + 4¹/₄
¹/₄x² - ¹/₄x + 4¹/₄ = 0
x = -(-¹/₄) +/- √(-¹/₄)² - 4(¹/₄)(4¹/₄))
   2(¹/₄)
x = ¹/₄ +/- √(¹/₁₆ - 4¹/₄)
¹/₂
x = ¹/₄ +/- √(4³/₁₆)
   ¹/₂
x = ¹/₄ +/- 2.046
   ¹/₂
x = ¹/₂ + 4.092
x = ¹/₂ + 4.092 x = ¹/₂ - 4.092
x = 4.592 x = 3.592

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Is a half bigger then a third ?

Answers

1/2 plus 1/3 is 5/6.

You have to find the common denominator

Yes 1/2 is bigger than 1/3

Enter the value of p so the expression 5/6 - 1/3n equivalent to p(5-2n)

Answers

You said 5/6 - 1/3 n = p (5 - 2n)

Divide each side by (5 - 2n) :

   p = (5/6 - 1/3 n) / (5 - 2n) .

That's about all you can do with it.
As you can see, the required value for 'p'
depends on the value of 'n'.

If you want to get rid of those awkward fractions,
I guess you could multiply top and bottom by 6 .
Then you have ...

   p = (5 - 2 n) / 6·(5 - 2n) .

Oh, my goodness ! Look at that !

   p = 1/6 .

It doesn't even depend on 'n' at all. It's always true,
no matter what 'n' is.

I am surprised.

Answer:

Step-by-step explanation:

Let x

Then we have 15 (x + 9) = 420.

We can divide both side by 15, getting x + 9 = 28. Then, we can subtract both sides by 9, getting x = 28 - 9 = 19.

Since there are 15 players and he bought a basketball for each of them, he bought 15 basketballs in total.The price of a basketball costs $9.The total price of all 15 basketballs = $9 * 15 = $135.He spent $420 on uniforms and basketballs, and he spent $135 on basketballs.Thus, he spent $420 - $135 = $285 on uniforms.As he bought a uniform for each of the 15 players, he bought 15 uniforms in total.The price of 15 uniforms is $285.The price of 1 uniform is $285 ÷ 15 = $19.

hope this helps also adding more things to make it easier

John has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. there is a combined total of 820 cans and bottles in his truck. let x be the number of 14 -ounce cans in his truck. write an expression for the combined total weight

Answers

14x + 70y = 820. Where we have taken y to be the number of bottles and x to be the number of cans.

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus= $(d)/(2)=(12)/(2)=6 in$

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: $(Hypotenuse)^2=(base)^2+(perpendicular\;side)^2$

Using pythagorous theorem

$OB^2=(6)^2+(8)^2=100$

$OB=√(100)=10 in$

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

What is
3x10 squared 5 + 2x10 squared 5 + 4x10 squared 5

Answers

Answer:

900000

Step-by-step explanation:

3*10^5+2*10^5+4*10^5

we can start by adding the base numbers (3, 2 & 4) since they are all being multiplied by 10^5: 3+2+4=9

so then we have 9*10^5

then we solve for 10^5, which is 10*10*10*10*10 or 100000

so we then have 9*100000 and we get

900000

Answer:

9x^10 + 15

Step-by-step explanation:

Write an expression to represent Steve's height in inches.

Answers

Final answer:

The expression to represent Steve's height in inches can be denoted as 'H'. 'H' is a variable that represents the unknown quantity, which is Steve's height in this context.

Explanation:

We will denote Steve's height in inches as H. This letter represents a variable, a letter that stands for a number we don't know yet, which, in this case, is Steve's height. In Mathematics, we commonly use letters like this to represent unknown quantities or variables. So the expression to represent Steve's height in inches is H.

Learn more about expressions in Mathematics here:

brainly.com/question/35169284

#SPJ3

Answer:

he is as tall as a Mouse.

explanation:

we can't Write an expression to represent Steve's height inches if we don't know what his height is

So what is Steve's height?

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There are two bottles of tomato ketchup, one weighs 720 g and costs £1.79, while the other weighs 460 g and costs £1.00. Which bottle gives better value for money? (Hint: you have to use ratios)