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3 years ago

If

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Answer:

$- {x}^{2} + x + 24$

Step-by-step explanation:

Subtract the functions:

$f - g = (36 - {x}^{2} ) - (8 - x)$

Simplify:

$(36 - {x}^{2} ) - (8 - x) \\ 36 - {x}^{2} - 8 + x \\ - {x}^{2} + x + 24$

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A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts.

Pachacha [2.7K]

Answer:

500 lbs of mixed nuts

Step-by-step explanation:

15.4% of mixed nuts = 77 lbs of pecans

Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:

77 / 15.4 = 5, so 5 lbs equals 1% of mixed nuts

Now multiply that number by 100 to get 100% of mixed nuts:

5 x 100 = 500

Therefore, there are 500 lbs of mixed nuts in a batch altogether.

To check, 15.4% = 15.4/100 = 0.514

Therefore, 15.4% of 500 = 0.514 x 500 = 77

Thereby proving that 15.4% of 500 is 77.

8 0

2 years ago

Sandra normally takes 2 hours to drive from her house to her grandparents' house driving her usual speed. However, on one partic

Rudiy27

Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

$s = \frac{d}{t}$

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

$s = \frac{d}{2}$

$d = 2s$

However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.

228 minutes is 3.8 hours. So

$0.4s + 0.6(s - 30) = \frac{d}{3.8}$

$3.8(0.4s + 0.6s - 18) = d$

$3.8s - 68.4 = 2s$

$1.8s = 68.4$

$s = 38$

Her usual driving speed is 38 miles per hour.

3 0

2 years ago

Need assistance solving for x

Mashcka [7]

Please post the question ..i'll solve for x

5 0

1 year ago

Read 2 more answers

Write the expression as a whole number with a negative exponent. Do not evaluate the expression.

WINSTONCH [101]

Answer: $\frac{1}{3^6}=3^{-6}$

Explanation: Denominators of a fraction can be equivalently written as their value to the power of negative 1. In this case the denominator expression itself has an exponent of 6, which taken to the power of negative one becomes -6:

$\frac{1}{3^6}=(3^6)^{-1}=3^{6(-1)}=3^{-6}$