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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 parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?
Lapatulllka [165]

Answer:

y = - (x + 1)²

Step-by-step explanation:

Vertex form of a parabola is given by,

y = -(x - h)² + k

Where (h, k) is the ordered pair representing vertex.

(-) sign denotes that the parabola is opening downwards.

If the coordinates of the given parabola is (-1, 0)

Equation of the parabola will be,

y = - (x + 1)² + 0

y = - (x + 1)²

Therefore, equation of the parabola will be, y = - (x + 1)²

5 0
3 years ago
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pou
Juli2301 [7.4K]

Answer: He ended up with about 1 pound less grapes

Step-by-step explanation:

2 bags of grapes weighing 5 and two-thirds pounds each will give a total weight of:

= 2 × 5 2/3

= 2 × 17/3

= 34/3

= 11 1/3 pounds

3 bags weighing 4 and one-fifth pounds each, will give a weight of:

= 3 × 4 1/5

= 3 × 21/5

= 63/5

= 12 3/5

He ended up buying lesser grapes. This was about 12 3/5 - 11 1/3 = 1 4/15 less. This means that he ended up with about 1 pound less grapes

3 0
3 years ago
Read 2 more answers
Can you explain how to do this math problem?
d1i1m1o1n [39]

Since the problem is 2x^2-5xy-y^3 we first have to plug in what the x and y stands for, once you do that your problem should look like this:

2(-3)^2- 5(-3)(-2)- (-2)^3

Now take the parentheses away and when you do that your signs change.

2x3^2-5x(-3)x(-2)-(-2)^3    

do it again with -5x(-3)x(-2)

2x3^2-30-(-2)^3

now do this with (-2)^3

2x3^2-30-(-8)

Now evaluate the power

3^2 becomes 9

2x9-30-(-8)

then change -(-8) to a positive since two negatives make a positive

2x9-30+8

Now multiply the numbers 2x9

18-30+8

Then do 18-30 which equals -12 then add 8

Now you are left with your answer:

<u>-4</u>


Hope this helps! :3


6 0
3 years ago
Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?​
Annette [7]

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

=  \frac{1}{2} (AB + AD) \times AB \\  \\  525=  \frac{1}{2} (37+ AD) \times21\\  \\  525 \times 2=  (37+ AD) \times21 \\  \\ 1050 = 21 \times 37 + 21AD \\  \\ 1050  = 777+ 21AD \\  \\  21AD  = 1050 - 777 \\  \\ 21AD  = 273 \\  \\ AD  =  \frac{273}{21}  \\  \\ AD  = 13

8 0
3 years ago
Three teachers have provided you with an equation that models their salaries in million of dollars each year. teacher
Yuliya22 [10]
Teacher c makes the most money at the end of their career since the model is entirely linear. 
4 0
3 years ago
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