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3 years ago

The difference of two numbers is 5, the numbers are in the ratio 3:4. So the numbers are 15 and 20 True or False

Mathematics

2 answers:

natulia [17]3 years ago

5 0

Answer:

True

Step-by-step explanation:

We need to verify whether 15 and 20 are the correct solution to the rule of "The difference between the 2 number is 5 and the number are in the ratio 3 : 4". Let's see,

First rule → The difference between the 2 numbers is 5

20 - 15 = 5 ⇒ Correct

Second rule → The numbers are in the ratio 3 : 4

15 : 20 ( ÷ 5 to both ratio's ) 3 : 4 ⇒ Correct

Arada [10]3 years ago

5 0

Answer:

please see the attached picture for full solution

hope it helps...

Good luck on your assignment..

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What is the slope of a line that is parallel to the line whose equation is y=4/5x-3

PolarNik [594]

Answer: 4/5

Step-by-step explanation: For a line to be parallel to another line there must be two conditions true.

Condition 1: Both lines must have the same slope (i.e the same x in the form y = mx + b)

Condition 2: Both lines must have different y-intercepts (i.e different b in the form y = mx + b)

Thus, if you are looking for the slope of the line parallel to y = 4/5x - 3, we can look at condition 1, and see that the slope should also be 4/5 for the other line.

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2 years ago

What is 3x4^3/34 need ASAP!!

Anastasy [175]

Answer:

3x4^3/34

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2 years ago

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Nikolay [14]

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

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y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

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2 years ago

Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi

Temka [501]

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40 $i^{2}$ ⇒collect like terms

w × z = -4 + 28i - 40 $i^{2}$

∵ $i^{2}=-1$

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

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2 years ago

Let f (x) = 1/x and g(x) = x² – 3x. What two numbers are not in the domain of fºg?

iren [92.7K]

For this case we have the following equations:

$f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

$x ^ 2-3x = 0\\x (x-3) = 0$

So, the roots are:

$x_ {1} = 0\\x_ {2} = 3$

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

8 0

3 years ago

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