find the product of (2y - 1) and (4y² + 2y + 1).

help.​

Answer:

i) The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].

ii) The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].

Step-by-step explanation:

i) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 0[/tex] is graphing the following system of equations:

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 0[/tex] (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].

ii) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 2[/tex] is graphing the following system of equations:

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 2[/tex] (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].

Answer:

46°

Step-by-step explanation:

These angles are same-side supplementary, therefore they add up to 180°.

180 - 134 = 46°.

Answer:

2(29+14)

Step-by-step explanation:

Given function:

Find the GCF of 58+28:

Rewrite:

Therefore, using GCF, the new expression would be 2(29+14)..

The expression 58 + 28 can be factorized as 2 (29 + 14).

GCF which is the abbreviated form for Greatest Common Factor of two numbers, as the name implies, is the greatest common factor of both the numbers.

GCF of two numbers can be found using prime factorization.

Given the expression 58 + 28.

To find the GCF of two numbers, list the prime factors of these two numbers.

58 = 2 × 29

28 = 2 × 14 = 2 × 2 × 7

The only common factor is 2.

So the greatest common factor is 2.

58 + 28 = (2 × 29) + (2 × 14)

Taking the common factor of 2 outside the brackets,

58 + 28 = 2 (29 + 14)

Hence the expression 58 + 28 can be factorized as 2 (29 + 14) using the greatest common factor.

To learn more about GCF, click on the link given :

https://brainly.com/question/11444998

#SPJ2

Answer:

84 units

Step-by-step explanation:

14 times 6 equals 84

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]

Points are R(-1,10),S(5,4)and T (-4,-2).

Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]

Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]

Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]

Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]

Answer:

red) area = 59.2 km²

Step-by-step explanation:

area of bottom 4 x 4 = 16

area of 4 sides = 4 (1/2)(4)(5.4) = 43.2

16 + 432 = 59.2 km²

Answer:

Step-by-step explanation:

lateral area = 2(base)(slant height) = 2·4·2 = 16 km²

base area = base² = 4² = 16 km²

surface area = 16 + 16 = 32 km²

Answer:

6 2/3

Step-by-step explanation:

1 2/3 *4= 4 8/3 ---->6 2/3

Answer:

1. i^20 X (2+i^22)

2. i² X (i¹¹-1) X (i²² + i¹¹ + 1) X (i^66 + i³³ + 1)

Step-by-step explanation:

1) 2i^20 + i^42

factor out i^20

i^20 X (2 + i^22)

2) i^101 - i²

i²X(i^99-1)

i²X(i³³-1)X(i^66+i³³+1)

Using a³-b³=(a-b)(a²+ab+b²)

i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)

i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)

I almost gave up typing. Quite stressful, but its fine

Answer:

40

Step-by-step explanation:

hudson plus his friends make 8

320/8=40

they each got 40 pennies

Answer:

N

P

J

B

A

I

L

E

G

H

O

M

C

D

K

A

Step-by-step explanation:

simple addition subtraction,in terms of a alone then b them the number

Answer:

15

Step-by-step explanation:

9/6=x/10

why? they segments are similar

Answer:

110°

Step-by-step explanation:

Answer:

£9360

Step-by-step explanation:

£18000× 12 ÷100 = £2160

£2160 × 4 = £8640

£18000 - £8640 = £9360

Therefore his car will be worth £9360 after 4 years

Answer:

The slope is 0

Step-by-step explanation:

the line is straight, so the slope is 0. I hope this helps

Step-by-step explanation:

Given

5x + 2y = 16 .....i)

x + 2y = 4 .....ii)

Subtracting equation I) and ii) we get

5x + 2y = 16

x + 2y = 4

- - -

4x = 12

x = 3

Putting x = 3 in equation ii)

3 + 2y = 4

2y = 4 - 3

y = 1/2

x =3 and y = 1/2

Hope it helps :)

Answer:

1) x=2 y=3 2) x=2 y=1

Step-by-step explanation:

Answer:They both Look tangent to me, they both have a straight line

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5(-4)+3(-7)+2= -20-21+2=-39

Answer: i would say D but i have no idea, it makes the most sence to me

Answer:

(0, 4.5)

Step-by-step explanation:

*The equation can be put into Desmos, to find the point, but the work to prove it is here*

f(x)=c/1+Ae^-Bx

Y=C

C=18      A=3      -B=-0.1

*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*

f(0)=18/1+3e^-o.1(0)

= 18/1+3e^0

=18/1+3(1)

=18/1+3

=18/4

=4.5

x=0    y=4.5

Maximum growth rate = (x,y) --> (0, 4.5)

Hope this helps:))!!

Answer:

C) 18

Step-by-step explanation:

4st - 2t

4(2)(3) - 2(3)

24 - 6

18

Answer:

3) All real numbers

4) y > 3

5) C) the only choice that ends with a POSITIVE ∞

Answer:

3. All real numbers

4. B. y>3

5. C (the one with the POSITIVE infinity sign.)

I just did the exact same quiz and I got all of the right answers when I did it :)

Answer:

the slope is POSITIVE (answer A)

Step-by-step explanation:

The line goes through: (-1, -2)  and ( 2, 1)

Then the slope can be calculated as:

slope = (y2 - y1) / (x2 - x1)

in our case:

slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1

Therefore, the slope is POSITIVE (answer A)

Answer:

A. Angles M and D

Answer:

6 people

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The radius is half the diameter

Answer:

d) 10in is the answer

Step-by-step explanation:

step 1 - Radius is half of the diameter.

step 2 - 20 ÷ 2 = 10

step 3 - Hence the answer is 10in.

Hope it helps,

Please mark me as the brainliest

Thank you