Can someone help me with this math homework please!

Answer:

B

Step-by-step explanation:

f(x) = 2x^2 - 4x + 5                   Put brackets around the first 2 terms.

f(x) = (2x^2 - 4x) + 5                 Take out the common factor of 2

f(x) = 2(x^2 - 2x) + 5                 1/2 the second term and square.

f(x) = 2(x^2 -2x + (2/2)^2) + 5   Express brackets as a perfect square.

f(x) = 2(x - 1)^2 + 5                     Multiply 2 * 1 (the term without an x. Subtract.

f(x) = 2(x - 1)^2 + 5 - 2                Combine

f(x) = 2(x - 1)^2 + 3

Answer:

See below.

Step-by-step explanation:

17.)

[tex]x+100+120+100=360\\x+320=360\\x=40[/tex]

18.)

[tex]x+150+77+48=360\\x+275=360\\x=85[/tex]

19.)

[tex]x+122+92+76=360\\x+290=360\\x=70[/tex]

20.)

[tex]x+115+85+60=360\\x+260=360\\x=100[/tex]

Answer:

B. XV and XY

Step-by-step explanation:

you can eliminate the top two options because those aren't rays. XV and XY are the only ones that end in X

let breadth be X

length = 2x

height = 8m

rate of painting the four wall= 20/m^2

cost of painting=9600

Area of four wall= cost of painting / rate

= 9600/20

= 480m^2

again,

Area of four wall = 2 h(l+b)

or, 480=2×8(X+2x)

or, 480/16=3x

or, 30/3=X

or, X= 10m

again,

2x= 2×10m=20m

again,

Area of floor = length × breadth

= 20×10

=200m^2

again,

rate of carpeting the floor= 400/m^2

cost of carpeting the floor = rate × area

= 400× 200

= Rs. 80000

Part (a)

Since we want segment AT to be an altitude, this means that point A is somewhere on segment RI such that angle TAI is 90 degrees. In other words, segments AT and RI are perpendicular. Check out the diagram below.

We'll need to find the slope of line RI, so we'll need the slope formula

R = (x1,y1) = (-2,-2)

I = (x2,y2) = (4,1)

m = slope of line RI

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

m = (1-(-2))/(4-(-2))

m = (1+2)/(4+2)

m = 3/6

m = 1/2

m = 0.5

The slope of line RI is 1/2 or 0.5

Now let's use point R(-2,-2) along with that slope we just found to find the equation of line RI.

Turn to point slope form

y - y1 = m(x - x1)

y - (-2) = 0.5(x -(-2))

y + 2 = 0.5(x + 2)

y + 2 = 0.5x + 1

y = 0.5x + 1 - 2

y = 0.5x - 1

This is the equation of line RI. We'll use it later.

----------

We found that the slope of line RI was 1/2.

The negative reciprocal involves us flipping the fraction and flipping the sign to get -2/1 or simply -2.

The perpendicular slope is -2. This is the slope of altitude AT.

We want line AT to go through T(-2,4), so we'll use this point along with the perpendicular slope we just found to calculate the equation of line AT.

We'll turn to the point slope form

y - y1 = m(x - x1)

y - 4 = -2(x - (-2))

y - 4 = -2(x + 2)

y - 4 = -2x - 4

y = -2x - 4 + 4

y = -2x

The equation of the line that goes through points A and T is y = -2x.

----------

To summarize so far, we have these two equations

Apply substitution to solve for (x,y) to find the intersection point. This will determine where point A is located.

y = 0.5x - 1

-2x = 0.5x - 1

-2x-0.5x = -1

-2.5x = -1

x = -1/(-2.5)

x = 0.4

Then we can determine y like so

y = -2x

y = -2(0.4)

y = -0.8

Therefore, point A is located at (0.4, -0.8). Both coordinate values are exact. In fraction form, we can say that the point is (2/5, -4/5), but I find decimals easier to work with in this instance.

===============================================================

Part (b)

To find the length of segment AT, we can find the distance from A to T. As you can probably guess, we'll use the distance formula.

A = (x1,y1) = (0.4, -0.8) ... found back in part (a)

T = (x2,y2) = (-2, 4) ... given

[tex]d = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 - (-0.8))^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 + 0.8)^2 }\\\\d = \sqrt{ (-2.4)^2+(4.8)^2 }\\\\d = \sqrt{ 5.76+23.04 }\\\\d = \sqrt{ 28.8 }\\\\d \approx 5.36656\\\\d \approx 5.37\\\\[/tex]

The distance from point A to point T is approximately 5.37 units. This means that segment AT is roughly 5.37 units long.

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. A^2+B^2=C^2

13 is c because it is the hypotenuse and across from the right angle

a is unknown and b is 12

A^2+12^2=13^2

A^2 +144 = 169

A^2 = 169- 144

A^2= 25

now take the sq root of both side

A = 5

Answer:

17.7

Step-by-step explanation:

Answer:

No answer is possible

Step-by-step explanation:

First, we can identify what the parabola looks like.

A parabola of form ax²+bx+c opens upward if a > 0 and downward if a < 0. The a is what the x² is multiplied by, and in this case, it is positive 2. Therefore, this parabola opens upward.

Next, the vertex of a parabola is equal to -b/(2a). Here, b (what x is multiplied by) is 1 and a =2, so -b/(2a) = -1/4 = -0.25.

This means that the parabola opens upward, and is going down until it reaches the vertex of x=-0.25 and up after that point. Graphing the function confirms this.

Given these, we can then solve for when the endpoints of the interval are reached and go from there.

The first endpoint in -2 ≤ f(x) ≤ 16 is f(x) = 2. Therefore, we can solve for f(x)=-2 by saying

2x²+x-4 = -2

add 2 to both sides to put everything on one side into a quadratic formula

2x²+x-2 = 0

To factor this, we first can identify, in ax²+bx+c, that a=2, b=1, and c=-2. We must find two values that add up to b=1 and multiply to c*a = -2  * 2 = -4. As (2,-2), (4,-1), and (-1,4) are the only integer values that multiply to -4, this will not work. We must apply the quadratic formula, so

x= (-b ± √(b²-4ac))/(2a)

x = (-1 ± √(1-(-4*2*2)))/(2*2)

= (-1 ± √(1+16))/4

= (-1 ± √17) / 4

when f(x) = -2

Next, we can solve for when f(x) = 16

2x²+x-4 = 16

subtract 16 from both sides to make this a quadratic equation

2x²+x-20 = 0

To factor, we must find two values that multiply to -40 and add up to 1. Nothing seems to work here in terms of whole numbers, so we can apply the quadratic formula, so

x = (-1 ± √(1-(-20*2*4)))/(2*2)

= (-1 ± √(1+160))/4

= (-1 ± √161)/4

Our two values of f(x) = -2 are (-1 ± √17) / 4 and our two values of f(x) = 16 are (-1 ± √161)/4 . Our vertex is at x=-0.25, so all values less than that are going down and all values greater than that are going up. We can notice that

(-1 - √17)/4 ≈ -1.3 and (-1-√161)/4 ≈ -3.4 are less than that value, while (-1+√17)/4 ≈ 0.8 and (-1+√161)/4 ≈ 2.9 are greater than that value. This means that when −2 ≤ f(x) ≤ 16 , we have two ranges -- from -3.4 to -1.3 and from 0.8 to 2.9 . Between -1.3 and 0.8, the function goes down then up, with all values less than f(x)=-2. Below -3.4 and above 2.9, all values are greater than f(x) = 16. One thing we can notice is that both ranges have a difference of approximately 2.1 between its high and low x values. The question asks for a value of a where a ≤ x ≤ a+3. As the difference between the high and low values are only 2.1, it would be impossible to have a range of greater than that.

Answer:

96 flowers did not bloom and 12 did.

Explanation:

Total flower = 108

Number of flower that bloomed

= ⅑ of the total flowers

= ⅑ of 108

= ⅑ × 108

= 108/9

= 12

So, number of flowers that did not bloom

= Total flowers - Number of flowers that bloomed

= 108 - 12

= 96

So, 96 flowers did not bloom and 12 flowers did.

Answer:

Answer is option (B)......

Answer:

5

Step-by-step explanation:

It is 5 because you just have to count by using a jumping math tectechnique.

Answer:

34 + 35 + 36 = 105

Step-by-step explanation:

Answer:

Yo mean correct way??

yo can divide minute by 60 to convert minute into hour

For example

To convert 10 minute into hour. then we should divide 10 by 60. 10/60

Answer:

In any conversion you have to establish  ratios (or rates) for the different units being converted.

The process will be performed by a series of multiplications that will cancel out the "unwanted" units.

multiplication by one (1) does not change the value in an equation.

you have to multiply by a "series of ones" that take into account the units being converted..

for example  

1 minute/60 seconds   or  1 inch = 2.54 cm   or  1 day = 24 hours

in your problem you have minutes... lets say you have 100 minutes

100 minutes * 1 hour             minutes cancel and you have  100/60 = 1 [tex]\frac{2}{3}[/tex] hrs

                       60 minutes

Step-by-step explanation:

Answer:

(-1,-0.5)

Step-by-step explanation:

Find the solution to this problem by using the midpoint formula which is (x1+x2/2,y1+y2/2) plug in the values of y and x to get -11+9/2+0-1/2. simplify to get the solution of (-1,-0.5)

Answer:

Graph B

Explanation:

Answer:

427.09

Step-by-step explanation:

(2.75 x 107) + (1.23 x 108)

294.25 + 132.84 = 427.09

For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.

What is equal distribution?

The distribution of a something in a way that each will get same amount.

How 189 can be divided equally?

If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.

For this we will check that 189 is divisible by which numbers.

Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.

Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.

Learn more: https://brainly.ph/question/4734029

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Answer:

B

Step-by-step explanation:

It opens downwards, so the parabola is negative. This also means the vertex of the parabola is the highest point, therefore it is a maximum.

Answer:

24

Step-by-step explanation:

There are 6 different types of rackets and 4 different types of balls.

To determine the number of different combinations

6 rackets * 4 balls

24 combinations

Answer:

24

Step-by-step explanation:

Answer:

5+5t

Step-by-step explanation:

The answer you are looking for is t^3+3t^2+6t+4.

Solution:

(t+1)(t^2+2t+4)

t^3+2t^2+4t+t^2+2t+4

t^3+3t^2+6t+4

Answer:

: = ÷

[tex]\frac{-2}{5}*\frac{6}{-1} : \frac{5}{-2} = \frac{-12}{-5} : \frac{5}{-2} = \frac{12}{5}*\frac{-2}{5}=\frac{-24}{25}[/tex]

An equivalent fraction is -24 over 25.

Answer:

84

Step-by-step explanation:

To find the average of the data or the mean, add 75, 82, and 95 which is 252, then 252 divided by 3 = 84. Hopefully, this helps :)

Answer:

Step-by-step explanation:

Hello!

x² + 5x-2

6² + 5*6 -2 =

36 +30 -2 =

66 -2=

64

Answer: -1

Step-by-step explanation:

Look at the patter it has

Answer:

Step-by-step explanation:

Let

ATQ

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40x+50x=45000[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 90x=45000[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=\dfrac{45000}{90}[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=500[/tex]

Now

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Rita=50x=50(500)=25000[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Mina=40x=40(500)=20000[/tex]

Answer:

x = 960

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle )² = ( part of hypotenuse below it) × ( whole hypotenuse), so

x² = 576 × (576 + 1024) = 576 × 1600 = 921600 ( take square root of both sides )

x = [tex]\sqrt{921600}[/tex] = 960

Answer:

345.6 mi^2

Step-by-step explanation:

S.A = 2πrh+2πr^2

= 2π(5)(6) + 2π(5)^2

= 345.6 mi^2

Answered by G a u t h m a t h

Answer: 33

Work Shown:

Apply the pythagorean theorem to get

[tex]a^2 + b^2 = c^2\\\\x^2 + 44^2 = 55^2\\\\x^2 + 1936 = 3025\\\\x^2 = 3025 - 1936\\\\x^2 = 1089\\\\x = 33[/tex]

Answer:

45

Step-by-step explanation:

9, 13, 17, 21, 25

We are adding 4 each time

9+4 = 13

13+4 =17

17+4 = 21

The common difference =4

a1 = 9

The formula is

an = a1+d(n-1) where n is the term number

an = 9+4(n-1)

We want the 10th term

a10 = 9+4(10-1)

     = 9+4(9)

    = 9+36

   = 45