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ki77a [65]
2 years ago
10

If f(x) = 4x2 - 3 and g(x) = x+1, find (f - g)(x).​

Mathematics
1 answer:
tresset_1 [31]2 years ago
4 0

Answer:

C. 4x² - x - 4

Step-by-step explanation:

Step 1: Define functions

f(x) = 4x² - 3

g(x) = x + 1

Step 2: Subtract

(f - g)(x) = 4x² - 3 - (x + 1)

(f - g)(x) = 4x² - 3 - x - 1

(f - g)(x) = 4x² - x - 4

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A number is divided by 3. That quotient is increased by 12. The result is 46. Find the number.
anzhelika [568]

Let the number be x.

x/3 + 12 = 46

Subtract 12 from both sides and you will get:

x/3 = 34

Multiply both sides by 3:

x = 102

3 0
3 years ago
How is a square related to a rhombus
Eduardwww [97]

Answer:

A Rhombus is basically a square turned diagonally my dude

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Can someone please help me with 9 and 10!!! Thank you so much!!!
Dmitrij [34]
9 Is −4x3 and 10 is −5a2
5 0
2 years ago
What is the equation of a line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ? Enter your equation in th
ANTONII [103]
Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope

so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2

perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2

y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b

so the equation is
y=-2x-3

your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation


so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
6 0
2 years ago
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
2 years ago
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