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2 years ago

What is the value of |-7| - |3|

Mathematics

1 answer:

Rudik [331]2 years ago

3 0

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

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Which option lists am expression that is not equivalent to 4^2/3

Vesnalui [34]

remember that

$x^{\frac{a}{b}}=\sqrt[b]{x^a}$

also $x^{-a}=\frac{1}{x^a}$

and $(a^b)^c=a^{bc}$

$4^{\frac{2}{3}}$

first one, that one is clearly not equal since 0.25≠4

2nd one, 0.25=1/4, so $0.25^{\frac{-2}{3}}=(\frac{1}{4})^{\frac{-2}{3}=$ $\frac{1}{(\frac{1}{4})^{\frac{2}{3}}}=4^{\frac{2}{3}}$ , which matches

3rd one, $\sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}$ , which matches

4th one $(\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}}$ which matches

answer is $0.25^{\frac{2}{3}}$

4 0

2 years ago

32 divided by a number c

Drupady [299]

32/C would be the answer-

3 0

2 years ago

Find the inverse, please help.

igomit [66]

Replace f(x) with y

Y = 2x -5

Swap roles of x

X= 2y-5

5+x =2y

Divide by 2

5+x /2 = y

Replace y with inverse f^-1(x)

Answer= f^-1(x) = 5+x / 2

6 0

2 years ago

What is the y intercept of the quadratic function f(x)=x^2+x-6

saveliy_v [14]

Answer:

$(0,\, -6)$ .

Step-by-step explanation:

On a cartesian plane, the $y$ -intercept of a function is the point where the graph of that function intersects with the $y\!$ -axis.

The $y$ -axis of a cartesian plane is the same as the equation $x = 0$ (that is, the collection of all points with an $x$ -coordinate of $0$ .)

Construct a system of two equations, with one equation representing $y$ -axis and $y = f(x)$ to represent the graph of this function:

$\begin{aligned}\begin{cases} y = x^{2} + x - 6 & \text{for the quadratic function} \\ x = 0 & \text{for the $y$-axis}\end{cases}\end{aligned}$ .

Solve this system for $x$ and for $y$ . If a solution exists, then the $y\!$ -axis and the graph of $y = f(x)$ would indeed intersect. The point $(x,\, y)$ would be the intersection of the $y\!\!$ -axis and the graph of $y = f(x)\!$ .

Substitute the second equation of the system into the first.

$\begin{aligned}\begin{cases} x = 0 \\ y = -6\end{cases}\end{aligned}$ .

Hence, the intersection of the $y$ -axis and the graph of $y = f(x)$ would be $(0,\, -6)$ . By definition, this point would be the $y\!$ -intercept of $y = f(x)\!$ .

4 0

2 years ago

Orginal price=$86 discounted price=$64.5 discount=?

Alenkinab [10]

The answer would be $21.5 less than the original.

4 0

2 years ago