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Verizon [17]
2 years ago
11

4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2 Use the substitution given

Mathematics
1 answer:
KengaRu [80]2 years ago
5 0

Answer:

x = 0, 2

Step-by-step explanation:

{4}^{x}  - 5( {2}^{x} ) + 4 = 0 \\   {({2}^{x})}^{2}    - 5( {2}^{x} ) + 4 = 0 \\  {u}^{2}  - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\  {2}^{x}  = 1 \: or \:  {2}^{x}  = 4 =  {2}^{2}  \\ x = 0 \: or \: x = 2

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segment DF is dilated from the origin to create segment D prime F prime at D′ (0, 6) and F′ (4.5, 3). What scale factor was segm
Andrei [34K]

Answer: 1.5

Step-by-step explanation:

From the attached graph:

D = (0, 4)

F = (3, 2)

After segment DF was dilated from the origin to create segment D'F'

D' = (0, 6)

F' = (4.5, 3)

Scale factor is obtained by calculating the proportion of the coordinates of the two segments. That is ;

Scale factor = value on dilated coordinate / value on original coordinate

Taking the x-coordinate of F and F':

Scale factor = coordinate 'x' of F' / coordinate 'x' of F

Scale factor = 4.5 / 3 = 1.5

Similarly,

Taking the y-coordinate of F and F':

Scale factor = coordinate 'y' of F' / coordinate 'y' of F

Scale factor = 3 / 2 = 1.5

8 0
4 years ago
Which point is not on the graph of the function y = x + 5?
Blizzard [7]
(10,5)

Explanation: 
By replacing the value of x with the x co-ordinate of the point above, we get that;
y=10+5
y=15
This does not tally with (10,5)
6 0
4 years ago
At the beginning of 2019, Milos owned 30 model cars. If he purchases and builds 2 models each month, which of the following tabl
satela [25.4K]

What are the tables? I would need to get more info

4 0
3 years ago
Read 2 more answers
Two cargo ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship Bis sailing into harbor on a cours
s344n2d4d5 [400]

Answer:

The distance of ship B from the Harbor is 32.26 miles

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Equations.

I have added a visual aid of the problem. As we can see the courses of both ship to the harbor forms a triangle with ship B being the hypotenuse. Since we are given the distance of the course for ship A and the angle between both ships, we can use this information with the <u>COSINE operator</u> to solve for the length of the course of ship B.

cos(x) = \frac{adjacent}{hypotenuse}

cos(47) = \frac{22miles}{hypotenuse} .... flip both fractions.

\frac{1}{cos(47)} = \frac{hypotenuse}{22miles} .... multiply both sides by 22

\frac{22mi}{cos(47)} = hypotenuse

32.26mi = hypotenuse = B

So the distance of ship B from the Harbor is 32.26 miles

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

3 0
3 years ago
Someone help me with this one​
frosja888 [35]

Answer:

2/3

Step-by-step explanation:

20% = 12

48

1/6 = 8

left = 40

40/60 = 4/6

4/6 = 2/3

3 0
4 years ago
Read 2 more answers
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