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3 years ago

The line passes through the point (-2,-5) and has a slope of -3.

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

Answer:

y = - 3x -11

Step-by-step explanation:

(x₁ , y₁) = (-2 , -5) & m = -3

y - y₁ = m (x - x₁)

y - [-5] = (-3)(x -[-2])

y + 5 = (-3)(x + 2)

y + 5 = -3x - 6

y = -3x - 6 - 5

y = - 3x -11

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At a motorbike store, 20% of the motorbikes are Honda products and 1/9 of them are Vespa’s. If the store had exactly 270 motorbi

scoray [572]

Answer:

84.

Step-by-step explanation:

We have been given that at a motorbike store, 20% of the motorbikes are Honda products and 1/9 of them are Vespa's. The store had exactly 270 motorbikes.

Let us find 20% 270 to find number of Honda bikes.

$\text{Honda bikes}=270\times \frac{20}{100}$

$\text{Honda bikes}=270\times \frac{1}{5}$

$\text{Honda bikes}=54$

Therefore, there are 54 Honda bikes at the store.

Let us find 1/9 of 270 to find number of Vespa bikes.

$\text{Vespa bikes}=270\times \frac{1}{9}$

$\text{Vespa bikes}=30$

Therefore, there are 30 Vespa bikes at the store.

The number of either Honda or Vespa bikes would be sum of both type bikes.

$\text{Number of either Honda or Vespa bikes}=54+30$

$\text{Number of either Honda or Vespa bikes}=84$

Therefore, 84 of the total bikes are either Honda or Vespa made.

5 0

4 years ago

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

vampirchik [111]

<h2>Question:-</h2>

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

<h2>Solution:-</h2>

The age of Sita = (x + 5) years.

And, the age of Gautam = x years.

Now,

5 years ago, the ratio of their ages was 3 : 2

$\therefore$ $\bf \frac{3}{2} \: = \frac{x \: + \: 5}{x}$

Now by cross multiplying, we get,

3x = 2(x + 5)

3x = 2x + 10

3x - 2x = 10

Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.

And, the age of Gautam = x = 10 years.

Now,

The present age of Sita = 15 + 5 = 20 years. (Answer)

And, the present age of Gautam = 10 + 5 = 15 years. (Answer)

4 0

3 years ago

The equation x power 3 - 6x=72 has a solution between 4 and 5.

Klio2033 [76]

Answer:

x power 3(x cube)- 6x -72=0 there it has change to quadratic equation x power 3(x cube)-12x+6x-72=0

3 0

3 years ago

Pls help me before I have another mental breakdown

Lyrx [107]

Answer:

a) fog(x) = (x-2)⁴ +4

b) (g o f) (x) = x⁴ + 2

c) hog(x) = $\sqrt{x-2}$

Step-by-step explanation:

Step(i):-

Given that the function

f(x) = x⁴+4 , g(x) = x-2 , h(x) = √x

f o g (x) = f(g(x))

= f(x-2)

= (x-2)⁴ +4 (∵ f(x) = x⁴ +4))

fog(x) = (x-2)⁴ +4

Step(ii):-

(g o f) (x) = g(f(x))

= g(x⁴ +4)

= x⁴ +4 -2 ( ∵ g(x) = x-2)

= x⁴ + 2

(g o f) (x) = x⁴ + 2

Step(iii):-

hog(x) = h(g(x))

= h(x-2)

= $\sqrt{x-2}$

hog(x) = $\sqrt{x-2}$

3 0

3 years ago

A certain population of bacteria has an average growth rate of 2%. The formula for the growth of the bacteria's population is A=

andre [41]

1448.93 bacteria

First, set up the equation.

A=200(1+.02)^100

Next, put this in the calculator.

And boom, you have the answer.

6 0

3 years ago