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2 years ago

6. There are 3 consecutive positive integers. The product of the smaller two integers is two more than ten times

Mathematics

2 answers:

frutty [35]2 years ago

7 0

The answer is letter B

Elanso [62]2 years ago

7 0

The answer is letter C!! 11x12=132 13x10=130. 132 is 2 more than 130

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

5 0

2 years ago

What is 47 minutes before 6:57

Schach [20]

6:10 is 47 mins before 6:57!!

6 0

2 years ago

Read 2 more answers

Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of

horsena [70]

Answer:

A. $3246.74

Step-by-step explanation:

The monthly payment can be found from the amortization formula.

A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual rate compounded n times per year for t years.

Filling in the values, we compute the monthly payment to be ...

A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94

The remaining balance after t years will be ...

B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)

For the given initial principal and the computed payment, after 18 years, the balance will be ...

B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)

B = $111,054.71

The prepayment penalty appears to be ...

(r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38

The closest listed answer choice is ...

A. $3246.74

_____

Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.

8 0

3 years ago

Find the equation of the line that is perpendicular to x - y = -5 and passes through (4, 7).

Ivanshal [37]

X - y = -5
-y = -x - 5
y = x + 5...slope here is 1. A perpendicular line will have a negative reciprocal slope. All that means is flip ur slope and change the sign. So our perpendicular line will have a slope of -1.

y = mx + b
slope(m) = -1
(4,7)...x = 4 and y = 7
now we sub and find b, the y int
7 = -1(4) + b
7 = -4 + b
7 + 4 = b
11 = b

so ur perpendicular equation is : y = -x + 11 <==

8 0

3 years ago

I don’t know how much she need to make

Ivanshal [37]

Answer:

Step-by-step explanation:

She can make 4. Have an amazing day

7 0

3 years ago