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4 years ago

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]

$\bf -\cfrac{1}{6}+\cfrac{2}{3}\left( 9-\cfrac{3}{4} \right)-\cfrac{1}{2}\impliedby recall\qquad \mathbb{PEMDAS}
\\\\\\
-\cfrac{1}{6}+\cfrac{2}{3}\left( \cfrac{36-3}{4} \right)-\cfrac{1}{2}\implies -\cfrac{1}{6}+\cfrac{2}{3}\left( \cfrac{33}{4} \right)-\cfrac{1}{2}
\\\\\\
-\cfrac{1}{6}+\cfrac{2\cdot 33}{3\cdot 4} -\cfrac{1}{2}\implies -\cfrac{1}{6}+\cfrac{66}{12} -\cfrac{1}{2}\impliedby \textit{LCD of 12}
\\\\\\
\cfrac{-2+66-6}{12}\implies \cfrac{58}{12}\implies \cfrac{29}{6}\implies 4\frac{5}{6}$

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:

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