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3 years ago

What transformation is shown below?

Mathematics

1 answer:

Artist 52 [7]3 years ago

6 0

Answer:

it's a translation

Step-by-step explanation:

it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.

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19-(3-5b) ....,.......

Serjik [45]

Answer:

Step-by-step explanation:

19(-3+5b)

-57+95b

6 0

4 years ago

Plz help, I will mark brainliest

ad-work [718]

X > 10 Because if you remove the parenthesis and distribute 4 through the parentheses - 8x + 8 + 12. Then you add 8 and 12 which equals 20. Then you move the constant to the right-hand side and change its sign. You calculate 100 - 20 which give you 80 and divide then which gives you 10.

Hopefully this helps! <3

7 0

3 years ago

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:

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

7 0

3 years ago

There are 12 third-grade students and 15 fourth-grade students in the band.

ohaa [14]

Answer:

12+15=27 total students, each car can seat 4, so 27/4=6.75, you would round up to 7 bc you can't have 3/4ths of a car

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Greg had $17 more than Fred, and together they had just enough money to by their mom a present that costs $85. How much money di

babunello [35]

Define x:

Let Fred had x dollar.

Fred = x
Greg = x + 17

Solve x :

x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34

Find the amount each of them had:

Fred = x = $34
Greg = x + 17 = 34 + 17 = $51

Answer: Greg had $51

3 0

3 years ago

Read 2 more answers