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dsp73
3 years ago
15

What are solutions to the equation below x^2 +3x-18=0

Mathematics
2 answers:
uysha [10]3 years ago
7 0

x^2+3x-18=0

(x+6)(x-3)


x=3,-6

zheka24 [161]3 years ago
7 0
You could plug it into a calculator to get your solutions or you could factor. Let's factor.

You need to find two numbers that when multiplied get you -18 and when added get you 3.

Let's get factors of -18:
1 × -18
2 × -9
3 × -6

The only factors that can get you that are -3 and 6.

(x-3)(x+6)=0

Set each factor equal to 0 and solve.
x-3=0
x=3

x+6=0
x=-6

Your solutions are 3 and -6.
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Solve the system of equations by substitution.<br> 3/8x + 1/3y = 17/24<br> x + 7y = 8
bixtya [17]
Using the second equation, let’s find x

x + 7y = 8
x = 8 - 7y

Substitute x in the other equation

3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8y + 1/3y = 17/24
-55/24y = -55/24
y = 1

Plug in y in any equation

x + 7(1) = 8
x + 7 = 8
x = 1

x = 1 and y = 1
3 0
3 years ago
Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no mor
kirill [66]

Answer:

A.) A person weights 80 kg can consume Haddock fish = 149 grams

B.) A person weights 80 kg can consume Swordfish fish = 8 grams

C.) A person weights 80 kg can consume Tuna fish = 23 grams

D.) A person weights 80 kg can consume Snapper fish = 50 grams

Step-by-step explanation:

Given - Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no more than 0.1 microgram for every kilogram of their weight per day. Fish generally carry high levels of mercury, although certain fish have higher mercury content than others. Fish, however, are healthy sources of many other nutrients, so nutritionists recommend keeping them in the human diet. The figure below shows the average mercury content of several types of fish.

To find - If a person weighs 82 kg, how much of each fish can they safely consume? round to the nearest gram.

A.Haddock

B.Swordfish

C.Tuna

D.Snapper​

Proof -

Firstly, determine how many micro grams of mercury a person can consume who weighs 82 kilograms.

⇒82 × 0.1 =  8.2 micro grams.

Now,

a.)

For Haddock fish-

It consumes 0.055 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.055

                                              = 149.09 ≈ 149 grams

So,

A person weights 80 kg can consume Haddock fish = 149 grams

b.)

For Swordfish fish-

It consumes 0.995 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.995

                                              = 8.24 ≈ 8 grams

So,

A person weights 80 kg can consume Swordfish fish = 8 grams

c.)

For Tuna fish-

It consumes 0.350 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.350

                                              = 23.43 ≈ 23 grams

So,

A person weights 80 kg can consume Tuna fish = 23 grams

d.)

For Snapper fish-

It consumes 0.165 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.165

                                              = 49.697 ≈ 50 grams

So,

A person weights 80 kg can consume Snapper fish = 50 grams

6 0
3 years ago
Solve 3(6b-1)-7(2b+3)=0​
babymother [125]

Answer:

24/13 or 1.8

Step-by-step explanation:

27b -3 - 14b -21 = 0

13b - 24 = 0

13b = 24

b = 24/13 or 1.8

5 0
3 years ago
Read 2 more answers
Idk how to solve this
Mnenie [13.5K]

Answer:

18.2222222222 mph

Step-by-step explanation:

82 x 4.5 = 18.222222222

3 0
3 years ago
Read 2 more answers
Cindy claims that 4x/12x= 1/3. Enter a whole number that supports Cindy's claim, and then enter a whole number that does not sup
galina1969 [7]
A whole number that would support Cindys claim would be 2 because if u do the ,math it would be 8/24 which would be .333 repeating which is simplify to 1/3 and i do not know a number that would not work.
4 0
4 years ago
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