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nordsb [41]
3 years ago
7

The product of two consecutive odd integers is 143. If x is the smallest of the integers, write an equation in terms of x that d

escribes the situation, and then find all such pairs of integers.
The equation that describes the situation is _________________


The positive set of integers is _______________________


The negative set of integers is _______________________
Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

Step-by-step explanation:

x(x+2) = 143

:::::

x² + 2x - 143 = 0

x = [-2 ±√(2²-4(1)(-143))]/[2(1)] = 11, -13

:::::

11 and 13

:::::

-13, -11

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in 1990, the value of a home is $170,000. Since then, its value has increased 5% per year. what is the approximate value of a ho
Gwar [14]

value of home in 1991= 105% of 170000

value of home in 1992= 105%×105% of 170000

value of home in 1993= 105%×105%×105% of 170000

=$196,796.25

3 0
4 years ago
8(s+3)=72 i need help it is due tomorrow
Montano1993 [528]

Answer:

s = 6

Step-by-step explanation:

8(s+3) = 72

Expand the brackets out:

(8 x s) + (8 x 3) = 72

8s + 24 = 72

Now you get rid of 24 on the left, by taking away 24. But you also have to do the same on the right side so that both sides are equal:

8s + 24 = 72

left(-24) = right (-24)

So that leaves you with:

8s = 48

Now divide both sides by 8 to make them equal and to get s on its own:

8s = 72

left(/8) = right (/8)

Therfore:

s = 6


3 0
3 years ago
Determine the number of ways she can arrange her daily schedule.
natita [175]

Answer:

This can be found by using the permutations and combinations formuals.

Combinations being the C equation and Permutations being the P equation.

P(n,r)=\frac{6!}{(6-6)!}=720

Explanation:

A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn't matter).

3 0
2 years ago
Please help! struggling a lot.
bazaltina [42]

Answer:

x=2<br/>y=1

Step-by-step explanation:

\left\{ \begin{array} { l } { 4 x + y = 9 } \\ { 3 x - 2 y = 4 } \end{array} \right.

4x+y=9,3x-2y=4

4x+y=9

4x=-y+9

x=\frac{1}{4}\left(-y+9\right)

x=-\frac{1}{4}y+\frac{9}{4}

3\left(-\frac{1}{4}y+\frac{9}{4}\right)-2y=4

-\frac{3}{4}y+\frac{27}{4}-2y=4

-\frac{11}{4}y+\frac{27}{4}=4

-\frac{11}{4}y=-\frac{11}{4}

y=1

x=\frac{-1+9}{4}

x=2

x=2,y=1

6 0
3 years ago
Find sin q if q is an angle in standard position and the point with coordinates (3, –4) lies on the terminal side of the angle.
guapka [62]
 \sqrt{3^{2} 4 ^{2} } =5
sin p=4/5=0.8

4 0
3 years ago
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