All categories

4 years ago

Factor the expression: 2x2 − 5x − 3

Mathematics

2 answers:

arlik [135]4 years ago

8 0

Please use " ^ " to denote exponentiation: 2x^2 − 5x − 3

Rather than try to factor this from scratch, test the given factors in the possible answers. Looking at the fourth possible answer (D), we see that two criteria are satisfied: (1) the product of +1 and -3 is -3, which equals the third term of the given polynomial, and (2) +1x - 6x = -5x, which equals the second term. Thus,

2x^2 − 5x − 3 = (2x + 1)(x − 3)

Igoryamba4 years ago

8 0

The answer is “D” .. hope I helped you ❤️

You might be interested in

I wanna know an answer to this math problem I need help with9(p-4)=18 answer

Solnce55 [7]

Answer: y=6

Step-by-step explanation:

First distribute... 9p-36=18

then add 36 to the 18 to help isolate the variable..

9p=54

then to get the variable by itself divide 54 by 9 and get 6

7 0

3 years ago

Read 2 more answers

At the clothing store, 1/8 of the clothes are shirts. Of the shirts 1/4 are green. What fraction of the clothing in the store ar

Rom4ik [11]

Answer:

The fraction the clothing in the store are green shirts is 1/32

Step-by-step explanation:

∵ 1/8 of the clothes are shirts

∵ 1/4 of the shirts are green

∴ The fraction of green shirts are 1/8 × 1/4 = 1/32

3 0

3 years ago

Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8

Dima020 [189]

Let $f(x,y,z)=x+y+z-8e^{xyz}$ . The tangent plane to the surface at (0, 0, 8) is

$\nabla f(0,0,8)\cdot(x,y,z-8)=0$

The gradient is

$\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)$

so the tangent plane's equation is

$(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8$

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by $t$ , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

$(1,1,1)t+(0,0,8)=(t,t,t+8)$

or $x(t)=t$ , $y(t)=t$ , and $z(t)=t+8$ .

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0

3 years ago

What is the width of a rectangle with an area of 5/8 inches and the length of 10 inches?

Nimfa-mama [501]

A = LW......W = A/L
A = 5/8
L = 10

W = (5/8) / 10
W = 5/8 * 1/10
W = 5/80 = 1/16

3 0

4 years ago

The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.

Lyrx [107]

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

7 0

3 years ago