All categories

3 years ago

4x²-17x-42 by factor

1 answer:

5 0

4x²-17x-42
=4(x²-17/4x)-42
=4[x²-17/4 x+(-17/8)²-(-17/8)²]-42
=4(x-17/8)²-289/64-42
=4(x-17/8)²-(289+2688)/64
=4(x-17/8)²-2974/64
=[(2x-34/8)²-(√2974/8)²]
=(2x-34/8 +(√2974/8))(2x-34/8-(√2974/8)
=[2x+(√2974-34)/8][2x-(√2974+34)/8]

You might be interested in

an object of mass 300kg is observed to accelerate at the rate of 4 m/s^2. Caculate the force required to produce this accelerati

icang [17]

Answer:

1200 N

Step-by-step explanation:

Newton's second law:

F = ma

F = (300 kg) (4 m/s²)

F = 1200 N

4 0

3 years ago

I think the answer might be 2 1/3, square root of 5,2.5, and square root of 8

Marat540 [252]

Answer:

Step-by-step explanation:

We will squared each, we will find

49/9 5 6.25 8 then the correct order

Square root 5

2 1/3

2.5

Square root 8

5 0

3 years ago

Which graph shows a system of equations with no solutions?

podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

$7x - 2y = 16\\21x + 6y =24$

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

substituting the following x in 2nd equation (21x + 6y = 24) We get

$21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2$

Put y= -2 in x equation

$x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71$

Comparing these (x,y) values we can understand that they never meet at a point

4 0

3 years ago

I'm bad at math so uh yeahhh

____ [38]

Answer and Step-by-step explanation:

Since we know that lines l and m are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.

123 = 2x + 7

Subtract 7 from both sides.

116 = 2x

Now, divide both sides by 2.

58 = x

So, the value of x is 58.

#teamtrees #PAW (Plant And Water)

4 0

2 years ago

PLEASE HELP !! I'LL GIVE YOU BRAINLIEST !!

GuDViN [60]

Answer:

Step-by-step explanation:

tan45° = 10/x

=> 1 = 10/x

=> x = 10

=> y^2 = 10^2 + 10^2 = 200

=> y = 100*sqrt(2)

=> b

5 0

2 years ago