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3 years ago

A number is chosen at random from 1 to 10. Find the probability of selecting factors of 4 and factors

Mathematics

1 answer:

Lena [83]3 years ago

8 0

The ANWSER is 2/4 I hope I helped

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What is the value of y when x= -3?<br>y= -2x+9

natka813 [3]

y=15 when x=-3

Because,

y= -2x+9

= -2(-3)+9

= 6+9

=15

so,

y=15

7 0

2 years ago

Read 2 more answers

4. Builtrite D is considering the purchase of a new machine for $500,000 which would require a $5000 installation charge. Employ

Paraphin [41]

Answer:

Builtrite D should purchase the machine

Step-by-step explanation:

Cash outflow in year zero = $ 500,000 + $ 25,000 ( training cost ) + $ 30,000 ( Net working capital)

Cash outflow in year zero = $ 555,000

Terminal cash flow in year 10 = $ 150,000 + $ 30,000 ( NWC)

Terminal cash flow in year 10 = $ 180,000

Operating cash flow per year = [ Savings - expenses - depreciation ] X ( 1 - tax rate) + depreciation

Net present value = $-500,000 + \frac{116,000}{1.15^1} + \frac{116,000}{1.15^2} +...+ \frac{180,000}{1.15^{10}}$

The Net present value of purchasing the machine = $32,071.42

Builtrite D should purchase the machine

3 0

2 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

Before polishing, a steel plate was 2.342 inches thick. After polishing, it was 2.087 inches thick. How much was removed in poli

myrzilka [38]

Thickness of the plate before polishing = 2.342
Thickness of the plate after polishing. = 2.087
How much was removed = 2.342- 2.087 = 0.255
Hence , the answer 0.255 which is option B

5 0

3 years ago

Read 2 more answers

alicia cashed her paycheck and used half of her earnings to take three friends to dinner. She spent $42.15 on dinner and she bro

Svetllana [295]

X=42.15-20.00y
this is in x=y

3 0

3 years ago