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Ivahew [28]
3 years ago
6

Write 124 as a product of prime factors. Express your answer in

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer:

Ask Siri

Step-by-step explanation:

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What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2 ​ x−5g, left parenthesis, x, right parenthesis, equals, minu
Semenov [28]

Answer:

g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}

Step-by-step explanation:

Given function,

g(x) = -\frac{2}{3}x-5

Step 1 : Replace g(x) by y:

y = -\frac{2}{3}x-5

Step 2 : Swap x and y:

x = -\frac{2}{3}y-5

Step 3 : Solve the equation for y ( isolate y in the left side ):

x +\frac{2}{3}y=-5

     \frac{2}{3}y=-5-x

      y=\frac{3}{2}(-5-x)

      y=-\frac{15}{2}-\frac{3}{2}x

      y=-\frac{3}{2}x-\frac{15}{2}

Step 4: Replace y by g^{-1}(x):

g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}

Hence, the inverse of the function g(x) is g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}.

8 0
3 years ago
Eric has 1 5/9 cups of yogurt to make smoothies.Each smoothie uses 1/3 of a cup of yogurt.What is the maximum number of smoothie
Vedmedyk [2.9K]

Maximum number of smoothies that Erica can make with the yogurt is 5

<h3><u>Solution:</u></h3>

Given that Eric has 1\frac{5}{9} cups of yogurt to make smoothie

Each smoothie uses \frac{1}{3} of a cup of yogurt

To find: maximum number of smoothies that Erica can make with the yogurt

Let 'n' be the number of smoothies that Erica can make with the available yogurt

number of smoothies that Erica can make with the yogurt is calculated by divinding the total available cups of  yogurt by cups of yogurt needed for one smoothie

<em><u>Therefore we get:</u></em>

$n=\frac{\text { total available cups of yogurt }}{\text { cups of yogurt needed for one smoothie }}$

total available cups of yogurt = 1\frac{5}{9} = \frac{9 \times 1 +5}{9} = \frac{14}{9}

cups of yogurt needed for one smoothie = \frac{1}{3}

Substituting the values in above formula we get,

\begin{aligned}&n=\frac{\frac{14}{9}}{\frac{1}{3}}\\\\&n=\frac{14}{9} \times \frac{3}{1}=\frac{14}{3}=4.66 \approx 5\end{aligned}

Thus maximum number of smoothies that Erica can make with the yogurt is 5

4 0
3 years ago
Which of the following are accepted without proof on a logical system?
Salsk061 [2.6K]

Answer:

•Axioms

•Definitions

•Postulate

7 0
3 years ago
Tickets to a concert cost $24 before a 5% fee is added.How much are the tickets with the fee?
vagabundo [1.1K]

Answer:

$25.20

Step-by-step explanation:

10%= 2.4 because you divide 24 by 10

So 5%= half 2.4= 1.2

24+1.2=25.20

5 0
3 years ago
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PLZZZZZZZZZZZZZZ HELP ME
ANTONII [103]

Answer:

316.41

Step-by-step explanation:

Because if you mutiply to find both volumes then add the volumes together you would get 316.41

3 0
3 years ago
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