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viktelen [127]
3 years ago
5

Show 63 tens in another way

Mathematics
1 answer:
kvv77 [185]3 years ago
5 0
3 tens and 6 ones is one way.
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Given f(x) = 3x^3+ kx – 11, and x – 1 is a factor of f(x), then what is the value<br> of k?
STatiana [176]

let's recall the remainder theorem.

we know that (x-1) is a factor, that means x -1 = 0 or x = 1.

since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.

f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k

7 0
2 years ago
Need help and I need to show my work ?? Can someone help
vodka [1.7K]
Answer is D.
Just plug in 2 for x and -2 for y. And solve
7 0
3 years ago
I know number 13 is right, how do I do 11 and 12?
snow_tiger [21]
11. 43 ; 137
12. 12 ; 102
8 0
2 years ago
Simplifying an Expression with the Numerator and the Denominator Raised to a Power
slamgirl [31]

Answer:

The answer to your question is    the second option     \frac{1}{x^{48}y^{36}z^{6}}

Step-by-step explanation:

Expression

                       [\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}

Process

1.- Divide the fraction in numerator and denominator

a) Numerator  

 [(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸

b) Denominator

 [(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶

2.- Simplify like terms

a) x⁻¹²x⁻³⁶ = x⁻⁴⁸

b) y⁻¹⁸y⁻¹⁸= y⁻³⁶

c) z⁻⁶

3.- Write the fraction

        \frac{1}{x^{48}y^{36}z^{6}}

6 0
3 years ago
What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe
Snezhnost [94]

Categorical data may or may not have some logical order while the values of a quantitative variable can be ordered and measured.

 

Categorical data examples are: race, sex, age group, and educational level

Quantitative data examples are: heights of players on a football team; number of cars in each row of a parking lot

 

a) Colors of phone cover - quantitative

b) Weight of different phones - quantitative

c) Types of dogs - categorical

d) Temperatures in the U.S. cities - quantitative

6 0
3 years ago
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