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Marrrta [24]
3 years ago
14

Solve 14x^2 + 42x + 70 = 0

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

  x = -3/2 ± i(√11)/2

Step-by-step explanation:

The quadratic formula can be used directly, but I find it convenient to divide by 14 first:

  x^2 +3x +5 = 0

The solution to ...

  ax^2 +bx +c = 0

is given by the formula ...

  x = (-b ±√(b^2 -4ac))/(2a)

Here, we have a=1, b=3, c=5, so the formula gives the solutions ...

  x = (-3 ±√(3^2 -4·1·5))/(2·1) = -3/2 ± i(√11)/2 . . . . . solutions are complex

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There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
exis [7]

(1)

If there are three times as many males as females, the ratio of males to females would be 3:1.

To make this more clearer. Suppose you have 100 students. for each 4 students, 3 of them are male and 1 is a female.

We can then say there are 75 males and 25 females.

Expressing this as a ratio(fraction) is easy 3 out of 4 are males and 1 out of 4 are females. So the ratio of males would be;

r(m) =  \frac{3}{4}

(2)

Let x be the number of cola bottles

Let y be the number of smarties

Let z be the number of marshmallows

x=3y (since there are 3 times more x than y)

y=2z (since there are 2 times more y than z)

we know that marshmallows are twice as less as smarties. so for 1 marshmallow you'd have 2 smarties. But we also know that cola bottles should be 2×3=6 since we have 3 times more cola bottles than smarties.

Adding up our total sweets we get;

1+2+6=9

But how many of those are cola bottles? 6!

So the ratio of cola bottles can be expressed as,

r(c) =  \frac{6}{9}  =  \frac{2}{3}

You can simplify the numerator and denominator by 3 to get 2 over 3.

5 0
2 years ago
Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?
jarptica [38.1K]

Answer:

The answer is the option B

It is wider and shifted 3 units to the right

Step-by-step explanation:

we have

f\left(x\right)=\left|x\right|

The vertex of the function is the point (0,0)

f\left(x\right)=0.1\left|x-3\right|

The vertex of the function is the point (3,0)

The function f\left(x\right)=0.1\left|x-3\right| is wider than the function f\left(x\right)=\left|x\right|

Because it is multiplied by a number less than 1

The rule of the translation is

(0,0)-------> (3,0)

(x,y)-------> (x+3,y)

That means

The translation is 3 units to the right

see the attached figure to better understand the problem

8 0
3 years ago
Read 2 more answers
What is a large metal pot used for cooking over a fire? Hoax, Cauldron, Phantom?
asambeis [7]

Hi, it's me. A cauldron

8 0
3 years ago
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What two numbers have a product of -36 and a sum of<br> 5?
natima [27]

Answer: 9, -4

Step-by-step explanation:

We can write an equation:

xy=-36

x+y=5

Factors of -36 are: 1, -36, -1, 36, 2, -13, -2, 13, 4, -9, -9, 4, 6, -6

There are only 2 factors here that add up to -36: 9 and -4

5 0
3 years ago
Please answer this correctly without making mistakes.I want ace expert and genius people to answer this correctly without making
aniked [119]

Answer:

10v*3 =

30v

Step-by-step explanation:

That's the answer

4 0
2 years ago
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