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sweet-ann [11.9K]
3 years ago
14

Product is -42 and sum is 1 What are the two numbers

Mathematics
2 answers:
Aleksandr [31]3 years ago
6 0
The answer is 7 and -6
podryga [215]3 years ago
3 0

Answer:

The numbers are 7, (-6)

Step-by-step explanation:

Let one number be x

So, other number = 1 - x  

x*(1 -x) = -42

x - x²   = -42

0 = -42 -x +x²

x² - x - 42 = 0

x² + 6x - 7x - 7*6 = 0

x(x + 6) -7 (x + 6) = 0

(x + 6)(x - 7) = 0

x + 6 = 0    ; x - 7 =0

x = -6         ; x = 7

The numbers are 7, (-6)

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The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Vanyuwa [196]

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

4 0
2 years ago
Read 2 more answers
Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 lit
Lyrx [107]

Answer:

12.5 litres of Blue paint

Step-by-step explanation:

2+7+1=10

therefore;

10=64

2=??

cross-multiply

(2×64)÷10

answer= 12.4 liters or 12.5

6 0
2 years ago
What is the value of x if gx-1 -2- 25?
natka813 [3]

Answer:

do you mean gx-1-2=25?

and what does g equal?

Step-by-step explanation:

8 0
3 years ago
8 is the difference of d and 3.75
maria [59]

Answer:

11.75

Step-by-step explanation:

From the question above 8 is the difference of d and 3.75

We are required to find the value of d

d-3.75= 8

d= 8 + 3.75

d= 11.75

Hence the value of d is 11.75

7 0
2 years ago
Jane is cooking in her recipe indicates that she should add several spices she needs to add 1/2 of a teaspoon of salt, 1 1/4 tea
polet [3.4K]

Answer: total number of teaspoons of spices in the dish =3.25 teaspoons

Step-by-step explanation:

Step 1

Listing the spices and their quantities , we have

Salt = 1/2 teaspoon

Orégano =1 1/4 teaspoon =5/4 teaspoons

Basil = 3/4 teaspoon

Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be  50% more in quantity  than salt

Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25

0.25 +  1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.

Step 2

Adding the amount of spices we have

1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices  = 3.25 teaspoons of spices .

3 0
2 years ago
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