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Alexeev081 [22]
3 years ago
13

Which set of data is correct for the quadratic relation f(x) = 5(x -

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is x=27.

Step-by-step explanation:

Note: Option sets are not correct.  

The vertex form of a parabola is

y=a(x-h)^2+k    ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

f(x)=5(x-27)^2-9     ...(2)

On comparing (1) and (2), we get

a=5>0, so direction parabola opens upward.

h=27,k=-9, so vertex of parabola is (27,-9).

So, axis of symmetry is x=27.

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Solve for x.<br><br> x - 4.225 = 15.1
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Answer:

x = 19.325

Step-by-step explanation:

You have: x - 4.225 = 15.1

Isolate x by adding 4.225 to both sides

x - 4.225 + 4.225 = 15.1 + 4.225

x = 15.1 + 4.225 = 19.325

x = 19.325

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3 years ago
BIG IDEAS MATH
sveticcg [70]

Answer:

The required expression is \frac{y}{4}-3.

The value of the expression when y=20 is 2.

Step-by-step explanation:

Consider the provided phase.

3 less than the quotient of a number y and 4

The quotient of a number y and 4 can be written as: \frac{y}{4}

Now 3 less than the quotient of a number y and 4  can be written as:

\frac{y}{4}-3

Hence, the required expression is \frac{y}{4}-3.

Now evaluate when y=20.

Substitute y=20 in above expression.

\frac{20}{4}-3

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2

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3 0
3 years ago
QUESTION
garri49 [273]

Answer:

45

Step-by step

What do we already know about the equation?

We know that they EACH bought a hockey puck($17) and 2 shirts

Half of 214 is 107. So they had to have spent 107 separately

So we make the equation and let s represent shirts

2s + 17 = 107

    - 17            -17

2s= 90.    DIVIDE by 2

s = 45

3 0
4 years ago
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Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.<br><br> ax + bx - c = 0
klemol [59]
The answer to the selected problem is: that is a linear equation. 
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3 years ago
Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the grou
Morgarella [4.7K]

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and  the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

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a = \sqrt{45} or \sqrt{9} · \sqrt{5} which simplifies to be 3\sqrt{5} or approx. 8.9 meters

7 0
3 years ago
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