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3 years ago

Simplify the expression.x^5/x^9a. 1/x^4b.x^14c. 1/x^14d.x^4

1 answer:

5 0

Answer: B. 1/x^4
When you divide the coefficients of exponents you must subtract the exponents. In this cause it got to x^-4. You cannot leave it as a negative exponent so you must put it as the denominator in this cause to get rid of the exponent making the answer b. 1/x^4.

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Draw an example of a composite figure that has a volume between 750 and 900 cubic units

agasfer [191]

A rectangle that is 10 wide and 10 high and 8 units long would have 800 cubic units

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3 years ago

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Identify the type of function that models the situation below: The cost of mailing a letter is $0.37 for the first ounce and $0.

Gwar [14]

Answer:

The correct option is;

Step function

Step-by-step explanation:

The given information are;

The cost of mailing a letter for the first ounce= $0.37

The cost for each additional ounce = $0.23

Therefore, the cost of mailing a letter can be found from the relation;

y = (N-1) × $0.23 + $0.37

The step function can be represented as follows;

f(x) = a[b(x - h)] + k

Where;

(h. k) = The starting points

a = The vertical step separation

b = The horizontal step separation

Therefore, in the question, we have;

a = $0.23

b = 1

h = 1

k = $0.37

Which gives;

f(x) = $0.23 × [1(x - 1)] + $0.37 = $0.23 × (x - 1) + $0.37

f(x) = $0.23 × (x - 1) + $0.37 which is similar to y = (N-1) × $0.23 + $0.37

Therefore the function that models the situation is step function.

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3 years ago

What number is missing in this sequence? 1, 2, 4, 7, 11, ___, 22

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Answer:

Step-by-step explanation:

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galina1969 [7]

The answer is: " 11 " .
____________________________________________________
→ " x = 11 " .
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Explanation:
____________________________________________________
Set up the ratio/ proportion as a fraction:

6 cm / 48 cm = 5 cm / (3x + 7) ;

→ The "cm" units cancel out; since: "cm/cm = 1 " ;

→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) = " 1/8 " ;

→ Rewrite as: $\frac{1}{8} = \frac{5}{3x + 7}$ ;

Now, we can "cross-multiply" :
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Note: $Given: \frac{a}{b} = \frac{c}{d}$ ; $ad = bc$ ;
{b $\neq 0$ ; d $\neq 0$ } .
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As such:

1 * (3x + 7) = 8 * 5 ;

→ 3x + 7 = 40 ;

Subtract "7" from each side of the equation:

→ 3x + 7 − 7 = 40 − 7 ;

to get:

→ 3x = 33 ;

Now, divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 3x / 3 = 33 / 3 ;

to get:
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→ " x = 11 " .
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→ The answer is: " 11 " .
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Answer:

Step-by-step explanation:

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