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2 years ago

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

Mathematics

1 answer:

Verizon [17]2 years ago

7 0

Step-by-step explanation:

8x2 + 16x + 3 = 0

a is 8 b is 16 c is 3

multiply 8 and 3 = 24

what 2 numbers when multiplied make 24 and when added make 16?

use quadratic formula

a is 8 b is 16 c is 3

x= (-b +- (√b^2-4ac))/2a

x= (-16 +- (√b^2-4(8)(3)))/2(8)

x= (-16 +- (√16^2-96))/16

x= (-16 +- (√256-96))/16

x= (-16 +- (√160))/16

x= (-16 +- (4√10))/16

x= -1 +- (√10/4)

split up the + and -

x= -1 - √10/4 = -0.209431

x= -1 + √10/4 = -1.79057

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Answer:

x =6.0

The base is 6x = 35.8

The side is 3x = 17.9

Step-by-step explanation:

We can use the pythagorean theorem

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3 years ago

Read 2 more answers

You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 800 cm3. The material fo

sesenic [268]

Answer:

Step-by-step explanation:

Given

Volume of box is 800 cm^3

$V=800 cm^3$

Let the dimension of base is $L\times L$ and height of box be h

$V=L^2\times h$

cost base $c_1=L^2\times 5=5L^2$

cost of sides $c_2=(4Lh)\cdot 7$

$c_2=28Lh$

Total Cost $=c_1+c_2$

$C=5L^2+28Lh$

$C=5L^2+28L\cdot \frac{800}{L^2}$

$C=5L^2+\frac{800\times 28}{L}$

differentiate C w.r.t L to get maximum/minimum Value

$\frac{\mathrm{d} C}{\mathrm{d} L}=10L-\frac{800\times 28}{L^2}$

$L=13.05 cm$

$h=4.69 cm$

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