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GrogVix [38]
2 years ago
10

Put the expressions in order from least to greatest.

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
6 0

Answer:

\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2},  (11^{-3})^{-3}

Step-by-step explanation:

For this, you need to know the rules of exponents:

If the coefficient is the same, you can do things to it (which I will get into)

In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.

For the first one, you can subtract the denominator exponent by the numerator exponent like so:

11^{4} * 11^{-11} = 11^{-7}\\

(When you multiply, you add the exponents)

Also, the rule is: x^{-y} = \frac{1}{x^{y} } or \frac{1}{x^{-y} } = x^{y}

For the second one, you can use the rule mentioned before:

\frac{1}{11^{-4} } = 11^{4}

For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)

So:

(11^{-3} )^{-3} = 11^{9}

Finally, the fourth one, you can simply just add the exponents:

11^{5} * 11^{2} = 11^{7}

Then, just order them from least to greatest by their exponents value :)

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What function was used to make that pattern​
Semenov [28]

Answer:

B

Step-by-step explanation:

The differences in the terms of f(x) are + 3, + 5, + 7

Since the differences are not constant the relationship is not linear

Note the differences in the differences are + 2, + 2,

The second differences are constant indicating a quadratic relationship

Note the relationship between x and f(x)

x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)

x = 2 → 2²  = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)

x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)

x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)

Thus f(x) = x² + 5 → B

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2 years ago
A coordinate plane with a line passing through (negative 3, 2) and (0, 3)
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Let's check

\\ \sf\longmapsto Slope=m=\dfrac{3-2}{0+3}=\dfrac{1}{3}

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Now

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\\ \sf\longmapsto y=mx+b

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2 years ago
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pickupchik [31]

Answer:

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3 years ago
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The school athletic director had a budget of $703.55 to purchase 55 items for the volleyball team. He purchased uniforms for $18
ira [324]

Answer:

Variables are x, y, z

System of equations are;

2x + z = 49

31.49x + 9.75z = 625.61

Step-by-step explanation:

Let x represent uniforms, y represent volleyball, z represent a pair of knee pads.

We are told he bought 6 more balls than uniforms. Thus; y = x + 6

Since he is buying 55 items, thus equation that represents total number of items bought is;

x + y + z = 55

Since y = x + 6, then;

x + x + 6 + z = 55

2x + z = 49

We are told he purchased uniforms for $18.5 each, volleyball for $12.99 dollar each, knee pads for $9.75 dollar for each pair

Since he has a budget of $703.55.

Thus, equation that represents budget and amount for each item is;

18.5x + 12.99(x + 6) + 9.75z = 703.55

18.5x + 12.99x + 77.94 + 9.75z = 703.55

31.49x + 9.75z = 703.55 - 77.94

31.49x + 9.75z = 625.61

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2 years ago
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