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HACTEHA [7]
4 years ago
11

How many solutions does 3(x+5)=-4x+8 have

Mathematics
1 answer:
Mashutka [201]4 years ago
4 0

Answer:

1 solution and that is that x = -1

Step-by-step explanation:

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For the linear function (x)=7x-2, which of the following is true?
Volgvan

Answer:

Correct option is : 1) It has a slope of 7 and a y-intercept of -2.

Step-by-step explanation:

The given function is :

f(x)=7x-2                    .....1

The general form of equation of a linear function is given by :

y=mx+c\\                  .....2

where, y is the dependent variable, x is the independent variable, m is the slope of the function and c is the y-intercept.

On comparing equations 1 and 2, we get:

m = 7,c = -2

Thus, we can conclude that : Slope of equation is 7 and y-intercept is -2.

Thus, only option 1 satisfies the given solution.

6 0
4 years ago
The roots of 2x^{2} + 3x = 4 are α and β. Find the simplest quadratic equation which has roots <img src="https://tex.z-dn.net/?f
elena-s [515]
2x^2+3x=4\implies2x^2+3x-4=0\implies x=\dfrac{-3\pm\sqrt{41}}4

Let \alpha be the root with the positive square root and \beta the root with the negative square root. Then

\dfrac1\alpha=\dfrac4{-3+\sqrt{41}}\quad\text{and}\quad\dfrac1\beta=\dfrac4{-3-\sqrt{41}}

The simplest quadratic with these roots can be written as

\left(x-\dfrac1\alpha\right)\left(x-\dfrac1\beta\right)=x^2-\left(\dfrac1\alpha+\dfrac1\beta\right)x+\dfrac1{\alpha\beta}=x^2-\dfrac34x-\dfrac12
4 0
3 years ago
What is the value of -1/6+2/3(9-3/4)-1/2
Yuki888 [10]
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8 0
4 years ago
What Is the Formula For The Pythagorean Theorem? Thank You and Have a Nice Day.
vodomira [7]
This is the formula c=a2+b2
4 0
3 years ago
George is twice as old as Edward, and Edward’s age exceeds Robert’s age by 4 years. If the sum of the three ages is at least 56
vova2212 [387]

Answer:

11

Step-by-step explanation:

if george is 30 than edward would be 15 as he is twice younger than george

and robert would be 11 as he is 4 year younger than edward.

4 0
3 years ago
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