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Brrunno [24]
3 years ago
15

What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

R = 118

Step-by-step explanation:

Given

Represent the polynomial with P and the divisor with D

P = 19x^2 + 15x + 12

D = x -2

Required

Determine the remainder

We start by equating the divisor to 0

i.e.

D = 0

x - 2 = 0

x = 2

Substitute 2 for x in the polynomial.

This gives remainder (R)

R = 19*2^2 + 15*2 + 12

R = 19*4 + 15*2 + 12

R = 76 + 30 + 12

R = 118

<em>Hence, the remainder is 118</em>

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Simplify using properties of operations and then factor the expressions using the GCF. (2g + 2) - (-4g - 7)
Rainbow [258]

Answer:

3(2g + 3)

Step-by-step explanation:

We start out with the expression (2g + 2) - (-4g - 7).

Firstly, let's distribute the negative:

(2g + 2) - (-4g - 7)

2g + 2 + 4g + 7

Now, combine like terms:

2g + 4g + 7 + 2

6g + 9

The GCF stands for "Greatest Common Factor." In this case, we have to find the GCF between 6 and 9. What is the GCF of 6 and 9? It would be 3. So,

6g + 9

3(2g + 3)

7 0
3 years ago
The fish tank at Matthew's house holds 468 gallons but is leaking at a rate of 4 gallons per day. Ariana's fish tank holds 624 g
user100 [1]
468 plus 624 times 7 divided by 4 and you should get the amount of water in the two tanks
6 0
3 years ago
For the function f(x) = x^2, what effect will multiplying f(x) by 1/4 have on the graph
ELEN [110]

Answer:

B. The graph will be compressed vertically.

Step-by-step explanation:

The given function is f (x) = x²

The new function is f 1 (x) = 1/4 x².

The general function of the form is f(x) = a · x²

i) If |a| < 1   the graph is compressed vertically by a factor of a.

ii)  If |a| > 1  the graph is stretched vertically by a factor of a.

Here:  a = 1/4 < 1

Answer:

B. The graph will be compressed vertically.

Hope this will helpful.

Thank you.

4 0
3 years ago
Read 2 more answers
How do i find the sides?
Anton [14]
These triangles are either 45 45 90 triangles or 30 60 90 triangles






For the 45 45 90 triangles the smaller sides are
s and the large one is s times the square root of two


For 30 60 90 the smallest side is s the hypotenuse is 2s and the last one is s root 3


For example 1. X is 7 the hypotenuse is 14

The sides on 2 are 6 Times Square root of 2


3. The sides are 3 each


7 0
4 years ago
The area of a triangular piece of stained glass is 50 square centimeters. If the height (h) of the triangle is four times the ba
lyudmila [28]

Answer:

Height = 20 ; Base = 5

Step-by-step explanation:

Triangle Area = Base x Height x 1/2

50 = 1x × 4x × 1/2

50 = 4x^2 × 1/2

50 = 2x^2

25 = x^2

x=5

Height equals to 4x -> 4 × 5 = 20

Base equals to x -> 1 × 5 = 5

4 0
2 years ago
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