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3 years ago

Once simplified, which of the expressions below have a value greater than -20?

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

A, B, and C

Step-by-step explanation:

a). -6 ÷ 2 x 5 1/3

= -3 x 5 1/3

= -16

b). 24 ÷ (-3) + 1/2

= -8 + 1/2

= -7.5

c). 36 ÷ 4 x (-2)

= 9 x -2

= -18

d). -54 ÷ (-9) x (-3 2/3)

6 x -3 2/3

= -22

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Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

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3 years ago

Who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec

julia-pushkina [17]

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

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3 years ago

Receiving

forsale [732]

Answer: 30.8%

Step-by-step explanation:

Given

Total students receiving financial aid are 6101

Students who are graduate and receiving financial aid are 1879

Probability is the ratio of the favorable and total outcomes

So, the probability is given by

$P=\dfrac{1879}{6101}\\\\P=0.307\ \text{or}\ 30.8\%$

8 0

3 years ago

Read 2 more answers

Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.

vodomira [7]

Answer:

$\frac{1}{24} miles \\$

Step-by-step explanation:

$\frac{7}{8} - \frac{5}{6} = \frac{1}{24}$

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2 years ago

Can someone plz help me !!!!!!!!

ASHA 777 [7]

1.) It's a parallelogram
area:
3.5 x 5.8 = 20.3
perimeter:
4 + 4 + 5.8+5.8 = 19.6
2.)It's a right triangle
 area:
 (6.92 x 11) ÷ 2 = 38.06
 perimeter:
 6.92 + 11 + 13 = 30.96
3.) ...that looks like a square tbh xD
area:
4.4 x 3 = 13.2
perimeter:
2.4
4.) Trapezoid

3 0

4 years ago