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2 years ago

Evaluate y = 2x + 1 when x= -1

Mathematics

2 answers:

PolarNik [594]2 years ago

8 0

Answer:

y = -1

Step-by-step explanation:

We Know:

y = 2x + 1, and x= -1.

Substitute:

y = 2(-1) + 1

Multiply:

2 * -1 = -2

y = -2 + 1

Add:

-2 + 1 = -1

So,

y = -1.

Stolb23 [73]2 years ago

5 0

Y = 2x + 1
y = 2(-1) + 1
y= -2 + 1
y= -1

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Answer:

$18.73ft^3$

Step-by-step explanation:

Let

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Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

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Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

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$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

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$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

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Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

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