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KonstantinChe [14]
3 years ago
8

A superhero recently asked his nemesis how many cats she has. she answered with a riddle: "seven eights" of my cats plus two" ho

w many cats does the nemesis have?
Mathematics
1 answer:
ryzh [129]3 years ago
3 0
<span>If the nemesis has "7/8 of her cats plus 2" it can be written like this: 7/8 x + 2 = x, where x is the number of the cats. After that we can solve the equation. x - 7/8 x = 2; 1/8 x = 2; x = 2 : 1/8 = 2 * 8 = 16. Answer: The nemesis has 16 cats.</span>
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Calculate the exact difference between Kaylynn and amandas weekly salaries
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Kaylynn's Salary is $328.125 or rounded to is $330

Amanda's Salary is $312.625 or rounded to is $312

The difference between them is $15.50 or your rounded answer is 18
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Which of the tables represents a function? 50 points i will give braileist
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Answer:

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Step-by-step explanation:

<u>Table P </u>

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Stella [2.4K]

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12x + 20

Step-by-step explanation:

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2 years ago
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4

f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

f(x)=-2\left(x-1.75\right)^2+10.125                ...(ii)

On comparing (i) and (ii), we get

a=-2,h=1.75,k=10.125

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : x=1.75

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is f(x)=-2\left(x-1.75\right)^2+10.125, the maximum value is 10.125, the axis of symmetry is x=1.75 and the maximum point is (1.75,10.125).

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