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2 years ago

What is the 17/5 as a mixed number in simplest form

Mathematics

2 answers:

evablogger [386]2 years ago

6 0

17/5 as a mixed number is 3 2/5

I got this because 5 goes into 17 3 times, but there are 2 left over

Hope this helps

-AaronWiseIsBae

WINSTONCH [101]2 years ago

3 0

First, change 17/5 to a mixed number

Divide, and put the remainder over the divisor

17/5 = 3 2/5

3 2/5 is your simplest form for 17/5

hope this helps

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$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interes

Advocard [28]

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

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x + y = 20287

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put the system of linear equations into standard form

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x + y = 20287

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2 years ago

The plans for a rectangular deck call for the width to be 10 feet less than the length. Sam wants the deck to have an overall pe

sergeinik [125]

Length of deck is 40 feet

<h3>Solution:</h3>

Sam wants the deck to have an overall perimeter of 60 feet

Perimeter of rectangular deck = 60 feet

Let "L" be the length of rectangle and "W" be the width of rectangle

Given that plans for a rectangular deck call for the width to be 10 feet less than the length

Width = length - 10

W = L - 10 ------ eqn 1

The perimeter of rectangle is given as:

perimeter of rectangle = 2(length + width)

Substituting the known values we get,

60 = 2(L + L - 10)

60 = 2(2L - 10)

60 = 4L - 20

80 = 4L

L = 20

Thus the length of deck is 20 feet

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2 years ago

Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)

EleoNora [17]

Start by multiplying each side of the inequality by $\sqrt{x + 1}$ and simplifying:

$2 \sqrt x + \frac{1}{\sqrt{x+1}} \leq 2 \sqrt{x + 1}$
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$2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)$
$2 \sqrt{x^2 + x} + 1 \leq 2x + 2$
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From here, we can square both sides to get

$x^2 + x \leq (x + \frac{1}{2})^2$
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2 years ago

A polynomial function, f(x), has x-intercepts at (-6,0) and (2,0). What is one possible factor of f(x)? PLEASE GIVE STEPS

Mila [183]

Set
f
(
x
)
=
0
f(x)=0.
If the polynomial function is not given in factored form:
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Factor any factorable binomials or trinomials.
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8 0

3 years ago

Please help me. give 10 points

icang [17]

Answer:

x intercept: (3, 0), (7, 0)

y-intercept: (0, -21)

vertex : (5,4)

the graph points down

Step-by-step explanation:

f(x) = - (x - 3)(x - 7)

f(x) = - (x^2 - 7x - 3x + 21)

f(x) = - (x^2 - 10x + 21)

f(x) = -x^2 + 10x - 21

x-intercept when f(x) = 0 so

x - 3 = 0; x = 3

x - 7 = 0; x = 7

x intercept: (3, 0), (7, 0)

y-intercept when x = 0 so y = -21

y-intercept: (0, -21)

vertex:

x = -b/2a

x = -10/ 2(-1)

x = 5

plug in x = 5 into the equation to find y

y = -(5)^2 + 10(5) - 21

y = -25 + 50 - 21

y = 4

so vertex : (5,4)

Since a = - 1<0, the graph is going downward and has maximum

4 0

3 years ago