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dezoksy [38]
3 years ago
15

F(x)=x^2+6 and g(x)=2x-1 G[f(x)]= A.4x^2-4x+7 B.2x^2+11 C.2x^2+5

Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

g( f(x) ) = 2x^2 + 11 (Answer choice B)

Step-by-step explanation:

g( f(x) ) involves using the function f(x) = x^2 + 6 as the input to g(x).

Here, g(x) = 2x - 1.  Replace the x in g(x) by "f(x)" and the x in 2x - 1 by x^2 + 6.  Then we have g( f(x) ) = 2[x^2 + 6] -1.  This can be simplified, as follows:

                                     = 2x^2 + 12 - 1, or 2x^2 + 11.  This is answer choice B.

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Factorise 14x2 – X-3
Blizzard [7]

Answer:

From quadratic formula:

Q=1+168=169

X1,2=1±13/28=>

X1=14/28=1/2

X2=12/28=3/7

(X-X1) (X-X2) =0=>

(X-1/2)(X-3/7)=0

8 0
2 years ago
Henry places £6000 in an account which pays 4.6% compound interest each year
aivan3 [116]

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

7 0
3 years ago
I need help! Please! Geometry! I don't know what I'm doing! ​
Ber [7]
Hi! collinear means on the same line, while coplanar means on the same plane! here’s what i got for these questions:

2 - false

4 - i’m not too sure on this one, but i believe it’s true!

6 - false

7 - true

try to check the answers and make sure they’re true before submitting! hope this helped!:)
8 0
3 years ago
Find the area and perimeter.<br> The area is ... and the perimeter is ...
Schach [20]

Answer:

Area: 6a^2

Perimeter: 12a^2

Step-by-step explanation:

To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.

A= 1/2 (3a^2)(4a^2)

A = 1/2 (12a^4)

A = 6a^4

To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

a^2+b^2=c^2\\(3a^2)^2+(4a^2)^2 = c^2\\(9a^4)+(16a^4)=c^2\\25a^4=c^2\\5a^2=c

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2

7 0
4 years ago
A line passes through point (-2, 5) and has a slope of 3. Points A(x 3) and B(-2, y lie on the line.
il63 [147K]

Answer:

x = -8/3

y = 5

Step-by-step explanation:

Finding the equation of the line:

y = 3x +c

Substituting (-2,5) into 'y=3x+c':

5 = -6 + c

c = 11

Hence,

y = 3x + 11

For finding x:

Substituting (x, 3) into 'y = 3x +11':

3 = 3x + 11

3x = -8

x = -8/3

For finding y:

Substituting (-2, y) into 'y = 3x + 11':

y = -6 + 11

y = 5

<em>Hope this helps and be sure to have a wonderful time at Brainly! :D</em>

4 0
2 years ago
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