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Tanzania [10]
2 years ago
10

Determine if the following table represents a linear function. If so, what's the rate of change?

Mathematics
1 answer:
klasskru [66]2 years ago
4 0
The Answer would be C
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How do you simplify expressions with rational exponents
Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

(p^{^ {\dfrac{12}{2}}})

= (p^{ 6})

Let's take a look at another example

\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}

Here, we apply the \dfrac{5}{3} to both 27 and x^6

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)

= \Bigg (3^{5} \times x^{10} }\Bigg)

= 249x^{10}

8 0
3 years ago
If f(x) and its inverse function, f^-1(x), are both plotted on the same coordinate plane, what is their point of intersection?
Romashka-Z-Leto [24]

Answer:

(a, a)

Step-by-step explanation:

actually there are two cases, don't have intersection and have. if have intersection, then they intersect at line y = x or point (a, a) by definition of inverse function.

8 0
3 years ago
Read 2 more answers
What’s 1 + 1 and why?
MrRa [10]

Answer:

2

Step-by-step explanation:

you add 1 to 1 and that gives you 2

8 0
3 years ago
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a football team gains 8 yards in one play, loses 5 yards in the next. What is the teams total yardage for the two plays
Ann [662]
The team gained a total of 3 yards.  That is because they first gained 8 (0 + 8), then lost 3 (8 - 3).
6 0
3 years ago
If z=15, what would the expression z2 – 2z + 15 be equal to?
svet-max [94.6K]

Answer:

15

Step-by-step explanation:

z2 - 2z + 15

(15)2 - 2(15) + 15

30 - 30 + 15

0 + 15

15

5 0
2 years ago
Read 2 more answers
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