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3 years ago

For the graphed function f(x) = 4^(x − 1) + 2, calculate the average rate of change from x = 1 to x = 2.

Mathematics

1 answer:

Elden [556K]3 years ago

8 0

f(x) = 4^(x − 1) + 2
f (1)=3 f (2)=6
avarage rate=[ f (1) - f (2)]/(2-1)
=(6-3)/1
=3//

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Triangle A C B is cut by line segment E D. Line segment E D goes from side B C to side A C. The length of B A is 4 x minus 6 and

bezimeni [28]

From the markings on the diagram, we can tell E is the midpoint of BC and <u>D</u> is the midpoint of AC. We can apply the <u>triangle midsegment theorem</u>: ED = ½BA. Substituting in the expressions for the lengths and solving for x, we get x = <u>5</u>. Now, since BE = x, then BC = <u>10</u>.

<h3>What is triangle midpoint theorem?</h3>

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

By applying the triangle midpoint theorem, we can find the value of x:

ED = ½BA

x + 2 = ½(4x - 6)

2x + 4 = 4x - 6

4x - 2x = 6 + 4

2x = 10

x = 10/2

x = 5.

BC = x + x

BC = 5 + 5

BC = 10.

Read more on triangle midpoint theorem here: brainly.com/question/16047906

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1 year ago

Two angles of a quadrilateral measure 150 degrees and 105 degrees the other two angles are in a ratio of 3:4 what are the measur

iragen [17]

Answer:

First angle is 45 and the second angle is 60

Step-by-step explanation:

150 + 105 = 255

360 - 255 = 105

the ratio is 3:4 I add the ratio so 7

105 / 7 = 15

The first angle with the ratio of 3 is 15 x 3 = 45

The second angle with the ratio of 4 is 4 x 15 = 60

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3 years ago

The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can b

viktelen [127]

Step-by-step explanation:

You have 5 digits.Youdonot say if duplication is allowed. I will assume not

For the first digit you have 5 choices. One of the 5 digits is gone.

You now have 4 digits to choose from. You pick one. Now you have but 3 left.

The total answer if 5*4*3*2*1 = 120

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3 years ago

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Lubov Fominskaja [6]

Just set up an equation comparing the two ratios and solve for the length, in this case x.

(10/19)=(6/x)
19/10=x/6
114/10=x

Answer= 11.4 feet for the length of the flower

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3 years ago

Two sides of a triangle measure 9 cm and 23 cm Which could be the measure of the

Irina-Kira [14]

Is this multiple choice?

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3 years ago