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3 years ago

A builder estimates that the

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

Answer:

158,400

Step-by-step explanation:

I did the math hope this helps

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Does this graph represent a function? Why or why not?

Morgarella [4.7K]

Answer:

Option D is the correct answer

Step-by-step explanation:

D. Yes, because it passes the vertical line test.

7 0

2 years ago

Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely

larisa [96]

$\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}$

$\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1) +2x(2x+1) + (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2$

3 0

2 years ago

Find the infinite sum of 10,5,2.5,1.25...

____ [38]

Notice this is a geometric progression since each number multiplied by some factor equals the next number in the sequence, in this case,

$10 \times r = 5 \Rightarrow r=0.5$

Then by applying the formula for sum to infinity of a geometric progression,
$S_\infty = \frac{a}{1-r} = \frac{10}{1-0.5} = 20$

3 0

3 years ago

Read 2 more answers

The price of a computer was decreased by 10% to £504. What was the price before the decrease

katovenus [111]

Answer:

Step-by-step explanation:

100-10 : 100

90 : 100

504 : x

x=540x100/90

x=50400/90

x=560

7 0

3 years ago

Help with number 6 pleaseeeeeeee

vitfil [10]

SinA=5root3/10
CosA=5/10
TanA=5root3/5=root3
SinC=5/10=1/2=0.5
CosC=5root3/10
Tanc=5/5root3=1/root3

7 0

3 years ago