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sweet [91]
3 years ago
15

How do you solve #21?

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0
5x^3+8x^2/3x^4-16x^2=x^2(5x+8)/x^2(3x^2-16)=5x+8/3x^2-16
lim x--->0 5x+8/3x^2-16=8/-16=-1/2
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Which property is shown?<br><br> If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
otez555 [7]

ANSWER: symmetric property

hope it helps thanks

brainliest pls

6 0
2 years ago
Read 2 more answers
Let f(x)=x^2 and g(x)=(x-3)^2+7 match up the correct transormations that are needed to transform the graph of f(x) to the graph
pentagon [3]

The transformations are vertical translation 7 units up.horizontal translation 3 units to the left

We have given that the equations

let f(x)=x^2 and g(x)=(x-3)^2+7

We have to determine the correct transformation,

<h3>What is the vertical translation?</h3>

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.

Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.

Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.

To learn more about the transformation visit:

brainly.com/question/2689696

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5 0
1 year ago
Julia and Rodney decided to invest 15% of their salaries.The table shows their principal balance,interest rate,and type of inter
Masja [62]
On the account with interest compounded annually, the account balance will be
  P*(1 +r)^t
  4500*1.06³ = 5358.57
so the interest earned will be
  5358.57 -4500 = 859.57

On the account with simple interest, the interest earned will be
  I = Prt
  I = 4500*.06*3
  I = 810.00

The total interest earned on the two accounts will be
  $859.57 +810.00 = $1669.57 . . . . . . . . selection A
6 0
3 years ago
The volume of a sphere is 36 cubic inches. What is the radius of the sphere?
Serjik [45]

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

\sqrt[3]{27 \div \pi}

r= 2.048in

round off to 2.05in

<u>PROOF</u>

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= <u>2.05 inches</u>

8 0
2 years ago
Identify the axis of symmetry and vertex of f(x) = –2x2 –2x–1.
Leya [2.2K]

<span>Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal to the x-coordinate of the vertex. </span>

<span>Note that a quadratic equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5. </span>

4 0
3 years ago
Read 2 more answers
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