PLEASE HELP QUESTION IN PICTURE

Question 16:

[tex]\alpha[/tex] and [tex]\beta[/tex] are the roots of the equation.

That means [tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\[/tex]

[tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0[/tex]

          [tex]2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0[/tex]

          [tex](x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta[/tex]

So,

[tex]x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}[/tex]

Compare coefficient

[tex]\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}[/tex]

Consider [tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta }[/tex]

[tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }[/tex]

[tex]= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}[/tex]

Ans: 8/5

Question 19:

[tex]f(x+2) = 2x^{2} +5x-3\\[/tex]

Substitute x with -1

So,

[tex]f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6[/tex]

Ans: -6

Answer:

Step-by-step explanation:

Part A

The first thing you have to do is develop a formula for the line.

It goes through (-2,3)

It has a y intercept of (0,-1)

So far what you know is

y = mx - 1

x = - 2

y = 3

3 = m(-2) - 1                  Add 1 to both sides

3 + 1 = (-2)*m

4 = - 2*m                      Divide by - 2

4/-2 = m

m = - 2

The equation of the line is y = -2x - 1

Instead of y, we can use f(x)

f(x) = -2x - 1

Finally we can solve this part of the question.

f(1) = - 2(1) - 1

f(1) = -2 - 1

f(1) = - 3

Part B

f(x) = 5

y = 5

5 = -2x - 1           Add 1 to both sides

5+1 = - 2x           Divide by - 2

6 / -2 = -2x/-2

-3 = x

Answer:

2√14m

Step-by-step explanation:

Hypothenus = 9m

Second side = x

third side = 5m

Using Pythagoras theorem

9² = x² + 5²

81 = x² + 25

x² = 81 - 25

x² = 56

x = √56

= √4 × √ 14

= 2√14m

The slope of B'C' is 1 and it can be determined by using formula of scale factor.

Given that,

ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

We have to determine,

What is the slope of B'C'?

According to the question,

ABC is an isosceles right triangle in which,

Slope of AB = -1

And AB is perpendicular to BC.

When the two lines are perpendicular to each other then,

[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

Length of Line segment A'B'= 1.8 × AB

So, the slope of the two-line Segment that is AB and A'B' are the same.

Slope of A'B'= -1

Length of Line segment C'B'= 1.8 × CB

So, the slope of the two lines that is CB and C'B' are the same.

The slope of B'C' is 1.

Hence, The required slope of B'C' is 1.

For more details Slope refer to the link given below.

https://brainly.com/question/8102490

Answer:

Slope of 1

Step-by-step explanation:

C.  1

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b

That's all i know- rip TvT

Answer:

1,1,1,1

Step-by-step explanation:

I believe this is right

Answer:

ur right!!

Step-by-step explanation:

Answer:

20 meters

Step-by-step explanation:

..................

Answer:

1

3  maybe

Step-by-step explanation:

[tex] \: \: \: [/tex]

[tex] \pink{100000}[/tex]

step-by-step explanation

[tex] {10}^{5} [/tex]

[tex]10 \times 10 \times 10 \times 10 \times 10[/tex]

[tex] = \pink{100000}[/tex]

Answer:

The solution is 100.000

Step-by-step explanation:

10⁵

= 10×10×10×10×10

= 100×10×10×10

= 1.000×10×10

= 10.000×10

= 100.000

Answer:

798 Apple Pies 57x14

532 Cherry Pies 38x14

Step-by-step explanation:

Answer:

1422cm²

Step-by-step explanation:

Triangle:

First; 24 x 14 = 336

second: since there is 2 triangle u x 2

so its 672

-------------------------------------------------------------------------------------------------------

Rectangle:

third; 25 x 10 = 250

forth; since there is 3 rectangle u x3

so its 750

last u add all ur answer for triangle and rectangle and u get

-------------------------------------------------------------------------------------------------------------

672 + 750 =

1422cm²

If correct please give brainliest

Stay safe and healthy

Thank You

Answer:

u=−4w+9

Step-by-step explanation:

u−5=−4(w−1)

u=−4(w−1)+5

u=−4w+4+5

u=−4w+9

​

Step-by-step explanation:

Solution

(s) = 100m

(t) = 72.54s

(v) = ??

We have,

v = s÷t

v = 100 ÷ 72.54

v = 1.37 m/s

Hence, the velocity of the swimmer is 1.37 m/s

[this is how I personally have to do it but not sure about you]

[tex] \bold{answer \: \: \to} \\ 1\frac{1}{2} \times \frac{2}{6} \times \frac{6}{1} + 4 = \\ = \frac{3}{2} \times \frac{1}{3} \times \frac{6}{1} + 4 \\ = \frac{3}{6} \times \frac{6}{1} + 4 \\ \ = \frac{18}{6} + 4 \\ = 3 + 4 \\ = \boxed{ \bold{7}}[/tex]

Answer:

The correct answer is C) 0.58

Step-by-step explanation:

All this is from USATESTPREP:

The function normCdf(x0, x1, , ) gives the probability that a value drawn from a normal distribution with mean and standard deviation lies in the interval [x0, x1].As the normal distribution is symmetric, the probability that a value is less than the mean is exactly 0.5P(x ≤ 100) = P(x < 99) + P(99 ≤ x ≤ 100)= 0.5 + normCdf(99,100,99,5) = 0.5793Rounded to the nearest hundredth, the probability that a container is filed with less than 100 ml is 0.58.

11000 litre of water is needed to fill the tank.

Answer:

solution given:

radius [r]=1.05m

Total height[H]=3.5m

height of cylinder[h]=2.45m

Now

The volume of the cylindrical part of tank=[tex]\pi r^2h=3.14*1.05^2 *2.45=8.4815m^3[/tex]

again

the volume of semi-spherical part of tank=[tex]\frac{2}{3} \pi r^{3} =\frac{2}{3}*3.14*1.05^3=2.4233m^3[/tex]

now

total volume=volume of the cylindrical part of tank + volume of semi-spherical part of tank

=8.4815+2.4233=10.9048 [tex]m^{3}[/tex]

we have

[tex]1m^3=1000litre[/tex]

[tex]10.9048m^3=1000*10.9048=10904.8\:litre[/tex]

Step-by-step explanation:

Answer:

674.667 feet per second

Answer:

19

Step-by-step explanation:

You had 6 dollars and your mom gave you 5. 6 + 5 = 11.

You dad gave you 8 dollars.

11 + 8 = 19

Answer:

19 dollars

Step-by-step explanation:

5+6+8=19

If you started off with 6 dollars and your mom gave you 5 you now have 11. If your dad gave you another 8 on top of the 11 you already had you now have 19.

Step-by-step explanation:

a)

clearly, A and B are mirrored images of each other around the x-axis.

and the equation of the x-axis is simply

y = 0

b)

this is trickier.

first of all, the mirror line is now vertical and not horizontal.

and where is it ? of course, in the middle between A and B.

how many units are there between A and B ?

I am counting 5. so, the middle between them is 2.5 units.

so, let's go e.g. from A 2.5 units to the right (in the direction of B).

where do we end up ? at x = 0.5

and that is also the equation of the vertical line there.

again

x = 0.5

Answer:

$32.41

Step-by-step explanation:

Given that:

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5  3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5  5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5  4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

Answer:

10.5 dollars

Step-by-step explanation:

42÷4=10.5

Answer:

Step-by-step explanation:

Army DA administrative publications and forms by the Army Publishing Directorate APD. The latest technologies high quality electronic pubs and forms view ...

Answer:

Step-by-step explanation:

The answer would be 6 because you would count the distance like it says!

Answer:

  (x, y) ⇒ (-x +5, -y +2)

Step-by-step explanation:

Rotation 180° is described by ...

  (x, y) ⇒ (-x, -y)

Translation right 5 and up 2 is described by ...

  (x, y) ⇒ (x +5, y +2)

The two transformations together that map P to R are described by ...

  (x, y) ⇒ (-x +5, -y +2)

Answer:

c

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

3(0) - (-4) = 4

0 + 4 = 4