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Studentka2010 [4]
2 years ago
6

Use the given information to determine which lines if any are parallel state The postulate or theorem that justifies

Mathematics
1 answer:
Liula [17]2 years ago
4 0

Answer: 13 and 14

Step-by-step explanation: algbra

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2(3n + 7) &gt; 5n<br>Thanks​
DedPeter [7]

Answer:

n= -5/3. 3n+7>2, 3n>2-7, 3n>-5

8 0
3 years ago
lauren bikes 1 1/3 mi in 1/10 hour. what is her rate of speed in miles per hour? *Will give brainliest*
joja [24]

Answer:

13 1/3 miles per hour

Step-by-step explanation:

Take the distance and divide by the time

1 1/3 ÷ 1/10

Change to an improper fraction

4/3 ÷ 1/10

Copy dot flip

4/3 * 10/1

40/3 miles per hour

changing to a mixed number

13 1/3 miles per hour

5 0
3 years ago
The sum of two numbers is 153. if four times the smaller number is subtracted from the larger​ number, the result is 18. find th
sleet_krkn [62]
X = larger number and y = smaller number

x + y = 153....x = 153 - y
x - 4y = 18

153 - y - 4y = 18
153 - 5y = 18
-5y = 18 - 153
-5y = -135
y = -135/-5
y = 27 <=== smaller number

x - 4y = 18
x - 4(27) = 18
x - 108 = 18
x = 18 + 108
x = 126 <== larger number
4 0
4 years ago
In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the<br> function with its graph
MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

f(x)=(x-2)^{2}+1

45)

The function g(x) is given by:

g(x)=f(x-1)

using f(x) we can find f(x-1)

g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

g(x)'=2(x-3)

2(x-3)=0

x=3

Puting it on g(x) we will get y value.

y=g(3)=(3-3)^{2}+1

y=g(3)=1

<u>Then, the minimum point of this function is (3,1) and it corresponds to (A)</u>

46)

Let's use the same method here.

g(x)=f(x+2)

g(x)=((x+2)-2)^{2}+1

g(x)=(x)^{2}+1

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2x

0=2x

x=0

Evaluatinf g(x) at this value of x we have:

g(0)=(x)^{2}+1

g(0)=1

<u>Then, the minimum point of this function is (0,1) and it corresponds to (C)</u>

47)

Let's use the same method here.

g(x)=f(x)+2

g(x)=(x-2)^{2}+1+2

g(x)=(x-2)^{2}+3

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

g(2)=(2-2)^{2}+3

g(2)=3

<u>Then, the minimum point of this function is (2,3) and it corresponds to (B)</u>

48)

Let's use the same method here.

g(x)=f(x)-3

g(x)=(x-2)^{2}+1-3

g(x)=(x-2)^{2}-2

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

g(2)=(2-2)^{2}-2

g(2)=-2

<u>Then, the minimum point of this function is (2,-2) and it corresponds to (D)</u>

<u />

I hope it helps you!

<u />

8 0
3 years ago
Snow White has 30 apples . She gave 6 apples to the prince and 21 apples to her seven dwarfs. Find the percentage of apples Snow
motikmotik
She has 3 apples left
3 0
3 years ago
Read 2 more answers
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