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Gnom [1K]
3 years ago
8

Combine the like terms to create an equivalent expression for -k+3k

Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

2k

Step-by-step explanation:

-k+3k

2k

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Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4 real solution(s) 10x y = -x2 2 real solution
nordsb [41]

All the given equations have 2 real solutions except for equation 4 which has only one real root.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation

y = 12x^2 - 9x+ 4

where, a = 12, b = -9 and c = 4

x = -b + \sqrt{b^2 - 4ac} /2a

x = -(-9)+ \sqrt{(-9)^2 - 4(12)(4)} /2(12)

x = 1.063 or -0.313

Second Equation

10x +y = -x^2 +2 \\y = x^{2} +10x - 2

where, a = 1, b = 10, c = -2

substitute the values into the equation

x = -b + \sqrt{b^2 - 4ac} /2a

-10 + \sqrt{10^2 - 4(1)(-2)} /2(1)

x = 0.195 or -10.195

Third Equation

4y - 7 = 5x^2 - x +2 +3y

y = 5x^{2} -x -5

where, a = 5, b = -1, c = - 5

x = -b + \sqrt{b^2 - 4ac} /2a

-(-1) + \sqrt{(-1)^2 - 4(5)(-5)} /2(5)

x = 0.905 or -0.55

Fourth Equation

y = (-x +4)^2 \\y = x^{2} -8x +16

where, a = 1, b = -8, c = 16

x = -b + \sqrt{b^2 - 4ac} /2a

x = -(-8) + \sqrt{(-8)^2 - 4(1)(16)} /2(1)

x = 4

Learn more about quadratic equations;

brainly.com/question/13197897

6 0
2 years ago
What’s the line of best fit ?
Tanzania [10]

Answer:

its the line that goes through a set of points that most accurately shows the relationship between the points.

Step-by-step explanation:

5 0
3 years ago
The function is expressed by a formula y=0.1x+5. Find the value of the function if the variable is equal to 10; 50; 120.
Aleksandr [31]

Answer:

f(x) = 10:  \large\boxed{6}

f(x) = 50:  \large\boxed{10}

f(x) = 120: \large\boxed{17}

Step-by-step explanation:

Write out the whole function using given information

f(x) = [10, 50, or 120]

Domain/y = 0.1x + 5

Substitute the possible values for x into the domain equation and solve

f(x) = 10: 0.1(10) + 5 = 1 + 5 = 6

f(x) = 50: 0.1(50) + 5 = 5 + 5 = 10

f(x) = 120: 0.1(120) + 5 = 12 + 5 = 17

Final answers:

f(x) = 10:  \large\boxed{6}

f(x) = 50:  \large\boxed{10}

f(x) = 120: \large\boxed{17}

Hope this helps :)

4 0
3 years ago
A coffee can in the shape of a cylinder has a Volume of V = 67.57 in. Find the forumla that gives the radius of the coffee can,
Reptile [31]

Answer:

r = sq rt [v/(h x Pi)]

r = 1.69

Step-by-step explanation:

v=h x Pi x r^2

r^2 = v/(h x Pi)

r = sq rt [v/(h x Pi)]

r = sq rt [67.57 / (7.5 x 3.14)]

r = sq rt 2.8692

r = 1.69

5 0
3 years ago
On a nearby pond, black and white ducks are swimming in groups of three. James wants to find the experimental probability of two
Elza [17]

Answer:

Step-by-step explanation:

8 0
3 years ago
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