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3 years ago

−8 ≤ 2/5 (k−2) Can you please provide the step by step to get to the answer? Thanks!

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

Answer:

k ≥ -18

Step-by-step explanation:

-8 ≥ 2/5(k-2)

-8 ≥ 2/5k - 4/5

(-8 ≥ 2/5k - 4/5) 5

-40 ≥ 2k - 4

+4 +4

-36 ≥ 2k

-36 divided by 2

2 divided by 2

-18 ≥ k

flip the greater than or equal to sign to the k.

k ≥ -18

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What is the unit rate for Bill's boffo bagel?

Tema [17]

<u>Given</u>:

Given that the graph of Bill's Boffo Bagel.

We need to determine the unit rate for Bill's Boffo Bagel.

The unit rate can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us substitute any two coordinates that the line passes through the points in the graph.

Substituting the coordinates (2,7) and (4,14) in the above formula, we get;

$m=\frac{14-7}{4-2}$

Simplifying, we get;

$m=\frac{7}{2}$

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Therefore, the unit rate for Bill's Boffo Bagel is $3.5.

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3 years ago

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Answer

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3 years ago

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Sveta_85 [38]

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Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?

adell [148]

Answer:

The correct option is right-bracket squared 3 squared =x+5

Step-by-step explanation:

The equation is \log _{3}(x+5)=2

Option a: \log _{3}(x+5)=3^{2}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option a is not equivalent to \log _{3}(x+5)=2

Option b: \log _{3}(x+5)=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Option c: x+5=3^{2}

This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option c is equivalent to \log _{3}(x+5)=2

Option b: x+5=2^{3}

This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}

Hence, option b is not equivalent to \log _{3}(x+5)=2

Thus, the correct option is c: x+5=3^{2}

Hence, the equation x+5=3^{2} is equivalent to \log _{3}(x+5)=2

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