All categories

3 years ago

F(x) = x2 + 5x - 1 is shifted 3 units left. The result is g(x). What is g(x)?

Mathematics

1 answer:

Makovka662 [10]3 years ago

6 0

Answer:

g(x) = (x + 3)^2 + 5(x + 3) - 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation: f(x) = x^2 + 5x - 1.

Shifting the graph of this function 3 units left results in

g(x) = (x + 3)^2 + 5(x + 3) - 1

You might be interested in

Find the side length of the equilateral triangle whose area is the square root of 3 cm2

Alla [95]

Here, Given

Area of Equilateral triangle = 3cm2

therefore, we know;

Area of Equilateral triangle =( $\sqrt{3}$ ÷4)× $a^{2}$

so,

3 =( $\sqrt{3}$ ÷4)× $a^{2}$

3÷( $\sqrt{3}$ ÷4) = $a^{2}$

2.63 cm = a .

The area of an equilateral triangle is the area covered by an equilateral triangle on a two-dimensional plane. An equilateral triangle is a triangle with all sides equal and all angles at 60 degrees. The area of the shape is the number of unit squares that fit inside.

Here, "unit" refers to 1, and a unit square is a square with one side. Alternatively, the area of an equilateral triangle is the total amount of space it surrounds in a two-dimensional plane.

Learn more about Area of triangle here: brainly.com/question/17335144

#SPJ4

6 0

2 years ago

The solution of the equation 5-2x=-4x-7 is?

butalik [34]

Answer: x=-6

Step-by-step explanation:

5-2x=-4x-7

5+2x=-7

2x=-12

X=-6

8 0

3 years ago

5. A solid has a circle of radius r as its base. All sections of the solid perpendicular to the diameter along the x-axis are is

AleksandrR [38]

Answer:

$\frac{16r^3}{3}$

Step-by-step explanation:

In this cross sections problem, we can integrate from -r to +r (so that the integral covers the entire base of the solid).

$\int\limits^r_a {2(x^2+r^2 )} \, dx$

The formatting for the integral did not let me put -r on the lower bound, so i replaced it with a, just know that a represents -r here.

Evaluating the integral gives use that it is equal to;

$\frac{16r^3}{3}$

Caution: this answer may not meet your needs, but this is the answer I have come up with with the given information.

If you found this answer helpful please consider leaving 5 stars, giving it a like, or if you asked this question, mark this answer as Brainliest. Thanks!

4 0

3 years ago

Please Help image below with question

djyliett [7]

I think it’s 128 or 64

5 0

3 years ago

Read 2 more answers

What is the solution to the system of equations y=-1/3x+9 and y=2/3x+12

amm1812

Answer:

{x = -3 , y = 10

Step-by-step explanation:

Solve the following system:

{y = 9 - x/3 | (equation 1)

{y = (2 x)/3 + 12 | (equation 2)

Express the system in standard form:

{x/3 + y = 9 | (equation 1)

{-(2 x)/3 + y = 12 | (equation 2)

Swap equation 1 with equation 2:

{-(2 x)/3 + y = 12 | (equation 1)

{x/3 + y = 9 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{-(2 x)/3 + y = 12 | (equation 1)

{0 x+(3 y)/2 = 15 | (equation 2)

Multiply equation 1 by 3:

{-(2 x) + 3 y = 36 | (equation 1)

{0 x+(3 y)/2 = 15 | (equation 2)

Multiply equation 2 by 2/3:

{-(2 x) + 3 y = 36 | (equation 1)

{0 x+y = 10 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{-(2 x)+0 y = 6 | (equation 1)

{0 x+y = 10 | (equation 2)

Divide equation 1 by -2:

{x+0 y = -3 | (equation 1)

{0 x+y = 10 | (equation 2)

Collect results:

Answer: {x = -3 , y = 10

3 0

3 years ago