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3 years ago

Help please please please

Mathematics

1 answer:

alexgriva [62]3 years ago

3 0

Answer:

$321. 25

$280. 25

$260. 25

$285. 25

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Given that f(x) = x2 – 5x – 14 and g(x) = x – 7, find (f +g)(x) and

Angelina_Jolie [31]

Answer:

$(f+g)(x)=x^2-4x-21$

Step-by-step explanation:

We are given:

$f(x)=x^2-5x-14\text{ and } g(x)=x-7$

And we want to find:

$(f+g)(x)$

This is equivalent to:

$=f(x)+g(x)$

Therefore, by substitution:

$=(x^2-5x-14)+(x-7)$

Rearranging gives:

$=(x^2)+(-5x+x)+(-14-7)$

Combine like terms:

$=x^2-4x-21$

6 0

3 years ago

Use suitable identities to find the following products (x+4)(x+10)

Anestetic [448]

Answer:

$x^2 + 14x + 40$

Step-by-step explanation:

Here we gonna use the identity -

$(x+a)(x+b) = x^2+(a+b)x + ab$

So using the identity here,

$(x+4)(x+10) \\=> x^2 +(4+10)x+4*10\\=>x^2+14x+40$

6 0

4 years ago

Read 2 more answers

Point p(a,b) is in the first quadrant on the graph of the line x+y=4. A triangular region is shown on the diagram. What is the m

Gala2k [10]

Answer:

The maximum area of the triangular region is 2 square units

Step-by-step explanation:

we know that

The area of the triangular region is equal to

$A=\frac{1}{2}(x)(y)$ -----> equation A

where

x is the x-coordinate of point P

y is the y-coordinate of point P

we have

The equation of the graph of the line is

$x+y=4$

$y=-x+4$ -----> equation B

substitute equation B in equation A

$A=\frac{1}{2}(x)(-x+4)$

$A=-\frac{1}{2}x^2+2x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The y-coordinate of the vertex represent the maximum area of the triangular region

Find the vertex

Convert the quadratic equation in vertex form

Factor -1/2

$A=-\frac{1}{2}(x^2-4x)$

Complete the square

$A=-\frac{1}{2}(x^2-4x+4)+2$

Rewrite as perfect squares

$A=-\frac{1}{2}(x-2)^2+2$

The vertex is the point (2,2)

The maximum area is the y-coordinate of the vertex

The maximum area of the triangular region is 2 square units

Find the coordinates of point P for the maximum area

x=2 (x-coordinate of the vertex)

Find the y-coordinate of point P

substitute in equation B

y=-2+4=2

The coordinates of point P for the maximum area is P(2,2)

3 0

4 years ago

Please help ASAP! Will give brainliest if CORRECT.

siniylev [52]

Answer:

Step-by-step explanation:

Plz mark brainliest :)

3 0

3 years ago

Read 2 more answers

HELP ASAP PLEASEEE!!!!!!!!!

Sergio [31]

Answer:

all the answer choices are correct

Step-by-step explanation:

reflections & rotations dont change any of the angle measures

8 0

2 years ago