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brilliants [131]
3 years ago
7

Can someone please use these coordinates to write the equation of a quadratic function that models the data. The coordinates are

. (0,0) (2,5) (5,7)
Mathematics
1 answer:
Tatiana [17]3 years ago
5 0

Try this option:

1. the rule: common view of the equation of the quadratic function is 'y=ax²+bx+c', where a, b and c - numbers.

2. if to substitute the given coordinates into  common equation, it is possible to write 3 equations: (for (0;0)) c=0; (for (2;5)) 4a+2b+c=5; (for (5;7)) 25a+5b+c=7.

3. for the system of the linear equations:

\left \{ \begin{array}{ccc}c=0\\4a+2b+c=5\\25a+5b+c=7\end{array}\right => \ \left \{ \begin{array}{ccc}c=0\\b=97/30\\a=-11/30\end{array}\right

4. Answer:

y= -\frac{11x^2}{30} +\frac{97x}{30}

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Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everythin
Afina-wow [57]

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

4 0
3 years ago
Grandma bakes the world's best and favorite cookies. If grandma's cookies have a half life of 2 hours and she bakes 3 dozen cook
Alchen [17]

Answer:

The time that pass until only two cookies left is 1.89 hour

Step-by-step explanation:

Given as :

The number of cookies bakes in 2 hours = 3 dozen

∵ 1 dozen = 12 piece

So, In 3 dozen = 12 × 3 = 36 cookies

The Time required to bake 36 cookies = 2 hours

Now, Let The time required to bake 2 cookies = x hour

So, According to question

∵ The time required to bake 36 cookies = 2 hours

So, the time required to bake 1 cookies = \frac{2}{36} = \frac{1}{18} hour

∴The time required to bake 34 cookies =  \frac{1}{18} × 34

I.e The time required to bake 34 cookies = \frac{34}{18} hour = 1.89 hour

Or, the time taken is 1.89 hours

Hence The time that pass until only two cookies left is 1.89 hour Answer

5 0
2 years ago
How do you use equations to solve problems about area of Rectangles,
Stels [109]
Each shape has a different formula for area. rectangles and parallelograms share the same formula, A=bh
Trapezoids formula is A= 1/2(b1 + b2)h
Triangles formula is A = 1/2bh
In all of these formulas, A means area, and h means the height of the shape. In the formulas for triangles and rectangles/parallelograms, b stands for the length of the base of the shape. 
In the trapezoids formula, b1 means base 1 and b2 means base two, as a trapezoid has two different bases.
After finding all of the variables for the formula of the shape you're solving for, plug all the numbers into your missing variables, and solve as normal.
7 0
3 years ago
What is the quotient estimate of 713 divided by 9
Airida [17]
The answer is around 79, but if you want to round it, you could round it up to 80.
4 0
3 years ago
Read 2 more answers
Two cubes each of volume 27^3cm are joined end to end to form a solid. Find the surface area. of resulting solid.​
vichka [17]

Given :-

  • Two cubes each of volume 27cm³ are joined to make a cuboid .

To Find :-

  • The surface area of the resulting solid .

Solution :-

Given that the volume of cube is 27cm³ . We know that the volume of cube is given by (side)³ .

So , if we assume each side to be a , then ,

\longrightarrow a³ = 27cm³

\longrightarrow a = ³√{27cm³}

\longrightarrow a = ³√3³cm³

\longrightarrow a = 3 cm .

  • Hence , if we join two cubes we will get a cuboid of length 3cm + 3cm = 6cm . (l)
  • The breadth would be 3cm .( b)
  • The height would be 3cm .(h)

See attachment for figure .

And as we know that TSA of cuboid is ,

\longrightarrowTSA = 2( lb + bh + hl )

\longrightarrow TSA = 2 ( 6*3 + 3*3 + 3*6) cm²

\longrightarrowTSA = 2 ( 18 +9 +18 )cm²

\longrightarrow TSA = 2 * 45cm²

\longrightarrow TSA = 90 cm²

<u>Hence</u><u> the</u><u> </u><u>new </u><u>surface</u><u> area</u><u> of</u><u> the</u><u> </u><u>solid</u><u> </u><u>is </u><u>9</u><u>0</u><u>c</u><u>m</u><u>²</u><u> </u><u>.</u>

<em>I </em><em>hope</em><em> this</em><em> helps</em><em>.</em>

8 0
2 years ago
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