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hoa [83]
3 years ago
8

Solve the following word problem by using an equation and factoring. The sum of a positive number and its square is 20. What is

the number?
A. 1
B. 2
C. 3
D. 4
E. 5
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0
Number:  n
square of number:  n^2
sum of n and n^2 is n+n^2=20
Rewriting this equation, we get n^2+n-20=0 = (n+5)(n-4) = 0

Then n+5=0 and n-4=0, so n = -5 and n = 4.

You must check both results.  It could happen that both are correct, or that only one is correct.

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A group of students organized a car wash for a fundraiser. The students that rate how much money they could earn from washing ca
Sonja [21]
Number 3: need more info

Number 4: is 337.5.
- first we need i\to find how much one case costs. $45/2 = $22.5
- next multiply $22.5 x 15 which gets you $337.50

Number 5: is 65%
- 100% divided by 3,100 is .03225806
- then multiply .023225806 by 1085 which gets you 35%
- but because it is asking for the remaining it is 100% - 35% which is 65%
8 0
3 years ago
A line goes through the point (–4,–2) and has an x-intercept of –1.
Keith_Richards [23]

Answer:

y = - x - 6

Step-by-step explanation:

y = mx + b

m = - 1

y = - x + b

(- 4, - 2)

- 2 = - (-4) + b

-2 = 4 + b

b = - 6

y = - x - 6

5 0
3 years ago
Nicole deposits $2,136 in a savings account paying 5.36% interest. To the nearest dollar, how much money does Nicole have in tot
jeka57 [31]

we know that


The simple interest formula is equal to


A=P(1+rt)


where


A is the Final Investment Value


P is the Principal amount of money to be invested


r is the rate of interest  

t is Number of Time Periods


in this problem we have


t=9\ years\\ P=\$2,136\\ A=?\\r=0.0536


substitute in the formula above


A=2,136(1+0.0536*9)


A=2,136(1.4824)

A=\$3,166.41  

Round to the nearest dollar

A=\$3,166  

therefore

<u>the answer is the option D</u>

\$3,166  

5 0
3 years ago
Read 2 more answers
Please Help!<br><br><br><br> B belongs to AC D belongs to lineAF
Anvisha [2.4K]

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

5 0
3 years ago
The expression 2x + 50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing. What
vova2212 [387]
We let y equal to the elevation above sea level so that the elevation of the rock climber after x minutes of climbing would be:

y = 2x + 50

His initial height can be calculated when x is equal to zero it is when the climber is not yet climbing. Therefore, the rock climber'sinitial height above sea level would be 50 meters.
7 0
3 years ago
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