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elena-s [515]
2 years ago
11

Fill in the blank for Remainder Therom x 3 + x 2 - 21x - 45 = (x + 3)(x - 5)(x+?)

Mathematics
2 answers:
GarryVolchara [31]2 years ago
7 0
(3x+2)(2x+5) , (x-3)(x-1), (2x-3)(5x+1), (3x-1)^2? <span>(3x+2)(2x+5) ,
(x-3)(x-1),
(2x-3)(5x+1),
(3x-1)^2
</span>
icang [17]2 years ago
5 0
Not sure about remainder theorem but I'm sure that the last terms should all multiply tho the last term


see the expanded form is -45

so the last terms of each binomial should multiply to -45

3 times -5 times ?=-45
-15 times ?=-45
divide by -15
?=3

the question mark is 3
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Marina sells candles that are in the shape of cones. she makes a yellow candle that has a diameter of 4 inches and a height of 1
Katena32 [7]

The correct statements are:

  • the volume of the yellow candle is about 46.05 inches cubed.
  • the radius of the yellow candle is 2 in
  • he base area of the yellow candle is about 6.28 inches squared.
  • the price of one yellow candle is about $16.12.

<h3>What are the correct statements?</h3>

Volume of a cone = 1/3(πr²h)

  • π = 3.14
  • r = radius = diameter / 2 = 4/2 = 2 inches
  • h = height

Volume of a cone = 1/3 x 2² x 11 x 3.14 = 46.05 inches cubed.

Base area = πr²

3.14 x 4 =  12.56 inches squared.

Price of one yellow candle = volume x price per cubic unit

46.05 x  $0.35 = $16.12

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ4

3 0
2 years ago
Jane evaluates x squared minus 3 x + 5 for x = negative 2 below. Step 1: (negative 2) squared minus 3 (negative 2) + 5 Step 2: E
rjkz [21]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question :

Jane evaluates x squared minus 3 x + 5 for x = negative 2 below. Step 1: (negative 2) squared minus 3 (negative 2) + 5 Step 2: Equals negative 4 + 6 + 5 Step 3: Equals 7 What, if any, was Jane's mistake?

Jane's evaluation :

x² - 3x + 5 for x = - 2

Step 1:

(-2)² - 3(-2) + 5

Step 2:

-4 + 6 + 5

Step 3 :

= 7

Jane's mistake was in STEP2,

evaluating (-2)² = 4 and not - 4

Hence, (-2)² - 3(-2) + 5

= 4 + 6 + 5

= 15

4 0
2 years ago
Solve the system of equations x+y= -13 and 4x + 6y = -72 by combining the<br> equations.
uranmaximum [27]

Answer:

Step-by-step explanation:

Fist you add -13 to 6y and than 4x that should be 69420

8 0
2 years ago
. A segment has a midpoint at (2, -7) and an endpoint at (8, -5). What are the coordinates of the other endpoint?
Sliva [168]
Ok, you can refer to the midpoint formula to find the endpoint.  Here goes...


MP=(2,-7) and EP=(8,-5)
Let x represent the missing endpoint.
(8+x)/2=2      NOTE: =2 represents first number of MP and the representation of number 8 is self explanatory.  You have two endpoints but need to identify the other endpoint so you divide by 2.  Then, multiply by two on both sides.
2(8+x)/2 = 2*2
16+x/2=4 do the next step (simplify) on the left side of equation 16x/2=8
Now, subtract 4-8=-4  So, the x coordinated of the missing endpoint is -4.


4 0
3 years ago
Read 2 more answers
If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2
alukav5142 [94]

Answer:

The transformed points of the triangle ABC are A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right), B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right), C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

A' (x,y) = \frac{1}{2}\cdot (1,1)

A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)

B' (x,y) = \frac{1}{2}\cdot (9,1)

B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)

C'(x,y) = \frac{1}{2}\cdot (1,9)

C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)

7 0
3 years ago
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