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4 years ago

The square of a number is equal to two less than three times the number. What are two possible values of the number?

Mathematics

1 answer:

ycow [4]4 years ago

4 0

Answer:

A, 1,2

Step-by-step explanation:

we translate it first into language of math

we use n for the number

n² = 3n - 2

then, do some algebra things

n² - 3n + 2 = 0

then factorize it

(n - 2)(n - 1) = 0

first n

n - 2 = 0

n = 2

2nd n

n - 1 = 0

n = 1

so n can be 1 or 2

You might be interested in

Given JKMN is a square and NM= 4x and KM = 6x - 16, find all missing angle measures and side lengths.

kirza4 [7]

Answer:

The side lengths are 32 units each

Step-by-step explanation:

Given

$NM= 4x$

$KM = 6x - 16$

Required

The side lengths and missing angles

Since JKMN is as square, then:

$NM = KM$ -- all sides are equal

$4x = 6x - 16$

Collect like terms

$4x - 6x = - 16$

$-2 x = - 16$

Divide by -2

$x = 8$

Substitute $x = 8$ in $NM= 4x$

$NM = 4 * 8$

$NM = 32$

The missing angles can't be solved without an attachment.

However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)

3 0

3 years ago

Midpoint of (2,4) and (2, -7)

slega [8]

Step-by-step explanation:

soln:

let,

(x1,y1) =(2,4)

(x2,y2)=2,-7)

Now,

By midpoint formula,

×= x1+x2

= 2+2

=4

=2,,

And,

Y=y1+y2

=4-7

= -3

Hence ,

The mispoint between points (2,4) and (2,-7) is (2,-3 )

6 0

2 years ago

The low temperature on Monday was 16°F. On Tuesday, the low was 18°F cooler. On Wednesday, the low temperature was –4 times Tues

drek231 [11]

Answer:

$-4(16-18)$ , $[16 + (-18)](-4)$

Step-by-step explanation:

Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.

To find: expression that can be used to describe the low temperature on Wednesday

Solution:

Temperature on Monday = 16°F

So,

Temperature on Tuesday = $(16-18)\°F$

Temperature on Wednesday = $-4(16-18)\°F$

So, expression $-4(16-18)=(16-18)(-4)$ can be used to describe the low temperature on Wednesday.

Also,

$(16-18)(-4)=[16 + (-18)](-4)\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}$

So, expression $[16 + (-18)](-4)$ also represent temperature on Wednesday.

3 0

3 years ago

Read 2 more answers

HELPPP

Ber [7]

Answer:

tan

Step-by-step explanation:

take 19 degree as reference angle

using tan rule

tan 19=opposite/adjacent

0.34=14/x

x=14/0.34

x=41.17

x=41.2

3 0

3 years ago

A family has a $93,411, 20-year mortgage at 5.4% compounded monthly. Find the monthly payment. Also find the unpaid balance afte

Mademuasel [1]

Answer:

payment: $637.30
5-year balance: $78,505.48
10-year balance: $58,991.59

Step-by-step explanation:

1. The relevant formula for computing the monthly payment A from principal P and interest rate r for loan of t years is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

Filling in the numbers and doing the arithmetic, we get ...

A = $93,411(0.054/12)/(1 -(1 +0.054.12)^-(12·20)) ≈ $637.30

2. The relevant formula for computing the remaining balance after n payments of amount p on principal P at interest rate r is ...

A = P(1 +r/12)^n -p((1 +r/12)^n -1)/(r/12)

Filling in the given values and doing the arithmetic, we get ...

A = $93,411(1.0045^60) -637.30(1.0045^60 -1)/(0.0045) ≈ $78,505.48

3. The same formula with n=120 gives ...

A = $93,411(1.0045^120) -637.30(1.0045^120 -1)/(0.0045) ≈ $58,991.59

7 0

3 years ago