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barxatty [35]
3 years ago
13

Given that (5,-8) is on the graph of f(x), find the

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

The corresponding point is (3,-8)

Step-by-step explanation:

we know that

When you add a constant value (k), to the argument of a function, the graph is shifted  k units to the left.

so

In this problem

The rule of the transformation is equal to

f(x) ------> f(x+2)

(x,y) ------> (x-2,y)

(5,-8) -----> (5-2,-8)

(5,-8) -----> (3,-8)

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If Carly has 3 apples and she eats 2 of them how many apples does she have left
Alex_Xolod [135]
Carly will have one apple left, (3-2=1)
3 0
2 years ago
Read 2 more answers
Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2
Arturiano [62]

Answer:

D

Step-by-step explanation:

our basic Pythagorean identity is cos²(x) + sin²(x) = 1

we can derive the 2 other using the listed above.

1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)

1 + tan²(x) = sec²(x)

2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)

cot²(x) + 1 = csc²(x)

A. sin^2 theta -1= cos^2 theta

this is false

cos²(x) + sin²(x) = 1

isolating cos²(x)

cos²(x) = 1-sin²(x), not equal to sin²(x)-1

B. Sec^2 theta-tan^2 theta= -1

1 + tan²(x) = sec²(x)

sec²(x)-tan(x) = 1, not -1

false

C. -cos^2 theta-1= sin^2

cos²(x) + sin²(x) = 1

sin²(x) = 1-cos²(x), our 1 is positive not negative, so false

D. Cot^2 theta - csc^2 theta=-1

cot²(x) + 1 = csc²(x)

isolating 1

1 = csc²(x) - cot²(x)

multiplying both sides by -1

-1 = cot²(x) - csc²(x)

TRUE

3 0
3 years ago
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
3 years ago
Geometry, please answer question ASAP
Pepsi [2]

Answer:

Figures A,D are polygons.

Reason:

Polygon is a closed figure with atleast three strange lines and angles.

7 0
3 years ago
A pitcher of lemonade in Manny's refrigerator was full in the morning. In the afternoon, he drank two glasses of lemonade. Each
Snezhnost [94]
To find how much lemonade the pitcher can hold, you will add the amounts that he drank and remained to get a total.  This total would be the starting amount.

8 oz + 8 oz + 24 oz = 40 ounces

The pitcher originally held 40 ounces of lemonade.
5 0
3 years ago
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