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Vesnalui [34]
3 years ago
15

What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

(3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

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Nojo is 5 years older then jacob . the product of their ages is 84 . now old is noj
mixer [17]
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.

n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.

n (n - 5) = 84
n^2 - 5n = 84

Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.

<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84

The answer is C = 12
5 0
3 years ago
At a particular garage, 60% of the customers require an oil change, 20% require tire rotation, and 75% of customers require at l
ZanzabumX [31]

Answer:

a. 5%

b. 55%

c. 70%

Step-by-step explanation:

a. The probability of customer wanting both services (P(O&T)) is:

P(O)+P(T)+P(O\&T) = 0.75\\P(O)+P(O\&T) =0.60\\P(T)+P(O\&T) = 0.20\\P(O)+P(T)+P(O\&T) -[P(O)+P(T)+2P(O\&T)]=0.75 -(0.60-0.20)\\P(O\&T)=0.05=5\%

The probability is 5%

b. The probability that the customer will need an oil change, but not a tire rotation (P(O)) is :

P(O)+P(O\&T) = 0.60\\P(O\&T) = 0.05\\P(O) =0.60-0.05 = 0.55 = 55\%

The probability is 55%

c. The probability that the customer will want exactly one of these two services (P(O)+P(T)) is:

P(O)+P(T)+P(O\&T) = 0.75\\P(O\&T) = 0.05\\P(O)+P(T) =0.75-0.05 = 0.70 = 70\%

The probability is 70%

4 0
3 years ago
Read 2 more answers
The points (0 1) and (1 4) are contained in the graph of an equation with only two variables x and y
Blababa [14]

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

<h3>How to determine the equation of the points?</h3>

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

Read more about linear equations at:

brainly.com/question/1884491

7 0
2 years ago
HELPP I‘LL GIVE BRAINLIEST!
TiliK225 [7]

Answer:

so Omar approximately receives 393€

please mark brainliest!♡♡

Step-by-step explanation:

2000/5.087= 393.15903

8 0
2 years ago
Y=3x-8 in function notation
julia-pushkina [17]

To write it in function notation you'll convert it into a function, substituting y by f(x):


y = 3x - 8 = f(x) = 3x - 8



Hope it helped,



BioTeacher101

3 0
3 years ago
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