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Drupady [299]
3 years ago
9

F (x) = cx + 3

Mathematics
1 answer:
algol133 years ago
4 0

<em>If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1</em>

<em>So the constant c is -2 and that means the value of f(-4) is</em>

<em>f(-4)=-2(-4)+3=8+3=11</em>

<em />

<em>Thus, the value of f(-4) is 11.</em>

<em />

<em>About why does "c" have to be -2, here's the proof.</em>

 <em>Given y = f(x), therefore.</em>

<em>y=cx+3</em>

<em>Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3</em>

<em>1 - 3 = c and therefore, -2 = c #</em>

<em>So this is the proof that c = -2</em>

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Which function is equivalent to the inverse of y=sec(x)
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From the identity:

sec(x)= \frac{1}{cos(x)}


f(x)=sec(x)= \frac{1}{cos(x)}

the inverse of f is g such that f(g(x))=x,

we must find g(x), such that \frac{1}{cos[g(x)]}=x

thus, cos[g(x)]= \frac{1}{x}

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6 0
3 years ago
ASAP - 15 points
Reptile [31]

Answer:

A) 2b+24x

Step-by-step explanation:

7b+3x-5b+21x

7b-5b+3x+21x

2b+3x+21x

2b+24x

8 0
3 years ago
A store sells six cupcakes for $7. How much do 18 cupcakes cost?
ollegr [7]

Answer:

21 cupcakes

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Martin ordered a pizza with a 12-inch diameter. Ricky ordered a pizza with a 16-inch diameter. What is the approximate differenc
adell [148]

Answer:

88 in²

Step-by-step explanation:

The shape of a pizza = Circular

Area of a circle = πr²

For Martin

Martin ordered a pizza with a 12-inch diameter.

Radius = Diameter/2 = 12 inch/2 = 6 inch

Area of Martin's pizza = π × 6²

= 113.09733553 in²

≈ 113.1 in²

For Ricky

Ricky ordered a pizza with a 16-inch diameter.

Radius = Diameter/2 = 16 inch/2 = 8 inch

Area of Martin's pizza = π × 8²

= 201.06192983in²

= 201.1in²

The approximate difference in area of the two pizzas in square inches is calculated as:

201.1 in² - 113.1 in²

= 88 in²

8 0
3 years ago
the jones family paid $150 to a painting contractor to stain their 12 ft by 15 ft deck. The smith family 16 ft by 20 ft. What pr
vitfil [10]
12ft x 15ft = 180ft divided $150 = 1.2(this is how much the fts cost)
16ft x 20ft = 320ft divided by 1.2 = $266.66
8 0
3 years ago
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