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tatuchka [14]
3 years ago
6

The difference of four times a number and six is two. Find the number

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

Step-by-step explanation:

4(x-6)=2

4x-24=2

4x=2+24

4x=28

x=7

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Using the discriminant, how many real number solutions does this equation have? 3x^2 – 2 = 5x
Anvisha [2.4K]
The discriminant of this equation is 49. The solutions for this equation are x=2 and x=-\frac{1}{3}
I hope that helps.
7 0
3 years ago
Express the function graphed on the axes below as a piecewise function.
dangina [55]

Answer:

y = 2/3x +6  for x< -3

y = 2/3x +1     for x> 3

Step-by-step explanation:

The graph is a line for  x < -3

( - 6,2) and ( -3,4)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point ( -6,2)

y -2 = 2/3(x - -6)

y -2 = 2/3(x +6)

y-2 = 2/3 x +4

y = 2/3x +6 x< -3

The graph is a line for  x > 3

(3,3) and ( 6,5)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 5-3)/(6-3) = 2/ (3) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point (6,5)

y -5 = 2/3(x - 6)

y-5 = 2/3 x -4

y = 2/3x +1   x> 3

8 0
3 years ago
Mai and Jada are both running on a treadmill. Mai travels 5 miles in 15 minutes. Jada travels 4 miles in 14 minutes. Who ran at
sasho [114]

Answer:

Mai

Step-by-step explanation:

To find the rate, you must determine who is going faster per minute. To do this, you must divide the total number of miles by the total number of minutes.

Mai: 5 miles / 15 minutes = 1/3 miles per minute

Jada: 4 miles / 14 minutes = 2/7 miles per minute

Then, use a common denominator to make calculations easier:

Mai: 1/3 * 7/7

Jada: 2/7 * 3/3

You should get:

Mai: 7/21 miles per minute

Jada: 6/21 miles per minute

By looking at this, you can see that Mai is traveling slightly faster, going more miles than Jada per minute.

3 0
3 years ago
Which rule describes the function in the graph below?
m_a_m_a [10]

The function that models the graph is given as:f(x)=\left \{ {{-\frac{1}{3}x+\frac{4}{3}  \ \ -8 < x < 2} \atop {-x^2+6\ \ -2 < x < 0}} \atop {6\ \ 0 < x < 4}, \ \ x+2\ \  4 < x < 7 \right.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation shown in the graph represents a piecewise function. Hence:

From the line through the point (-8, 4) and (-2, 2), the equation is f(x) = -(1/3)x + 4/3

From the curve through the point (-2, 2) and (0, 6), the equation is f(x) = -x² + 6

From the line through the point (0, 6) and (4, 6), the equation is f(x) = -6

From the line through the point (4, 6) and (7, 9), the equation is f(x) = x + 2

The function that models the graph is given as:f(x)=\left \{ {{-\frac{1}{3}x+\frac{4}{3}  \ \ -8 < x < 2} \atop {-x^2+6\ \ -2 < x < 0}} \atop {6\ \ 0 < x < 4}, \ \ x+2\ \  4 < x < 7 \right.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
2 years ago
Use the data to create a scatter plot\<br> forks: 2,4,6,8,10,12<br> spoons: 10,6,4,1,0,2
Len [333]

Answer:

The resulting scatter plot is attached below :

To plot the required scatter plot :

We first take forks on the x - axis and the spoons on the y - axis

Now we arrange the given data in the form of x and y coordinates

Hence, the data becomes :

(2, 10)

(4, 6)

(6, 4)

(8, 1)

(10, 0)

(12, 2)

Now, We plot these points on the graph and get the required scatter plot for the given data.

5 0
3 years ago
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