Factor (x^2-1x)(-4x+4), with work shown

Answer:

Option D is the correct option.

Explanation:

Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.

Hope this helps...

Good luck on your assignment...

Answer:

1- %50

0.2008

Step-by-step explanation:

0.0008 1/5

(0.0008*5)+1=0.004+1=1.004/5

0.2008

→Answer:

1) 50%

7) 5.02

→Step-by-step explanation:

1)

Even if a coin is tossed many times and its still heads there is still 50% it is tails. It doesn't change.

7)

.0008 1/5 as a fraction.

So first we need to put .0008 into 1/5.

To do that we do .0008*5 which is .004.

So the fraction is now 1.004/5

To make that a decimal we do 1.004 divided by 5 which is 5.02

Answer:

f = -5/3

Step-by-step explanation:

-3/4f = 5/4

Multiply both sides by -4/3.

-3/4f × -4/3 = 5/4 × -4/3

f = -20/12

f = -5/3

Answer:

Step-by-step explanation:

No of people using both gym and pool that is N( gup ) = 25

No of people using both track and pool that is N( tup ) = 30

No of people using both track and gym that is N( tug ) = 17

No of people using all that is N( gutup) = 6

No of people  using two or three facilities

= 25+30+17- 2 x 6

= 60

Total no of people = 125

No of people using only one facility

= 125 - 60

= 65 .

Ratio of people using only one facility

= 65 / 125

.52

Required probability

= .52 .

probability that the person uses exactly one of the facilities

= .52

Complete question:

Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?

Answer:

Here,

Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)

We are also told only 10 participants are available.

All 10 participants are being exposed to all five levels of the color variable in the same order.

Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.

Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.

But using counterbalancing technique, Dr. Lyte can avoid such an error.

Answer:

[tex]l = 88 cm[/tex]

Step-by-step explanation:

Volume of Cube = [tex]l*l*l[/tex]

Volume of Cube = [tex](Length)^3[/tex]

Where volume = 681472 cubic cm

=> [tex]l^3 = 681472[/tex]

Taking square root on both sides

=> [tex]l = \sqrt{681472}[/tex]

=> [tex]l = 88 cm[/tex]

Answer:

see below

Step-by-step explanation:

sqrt(20)

sqrt(4*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(4) sqrt(5)

2 sqrt(5)

Answer:

We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

[tex]-x^{2} +4x+12[/tex]

Let us rewrite by letting it equal to [tex]y[/tex].

[tex]y=-x^{2} +4x+12[/tex]

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

[tex]y=ax^{2} +bx+c[/tex]

we get:

[tex]a = -1\\b = 4\\c = 12[/tex]

Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

[tex]x = -\dfrac{b}{2a}[/tex]

[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

Answer:

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

Answer:

Divide by 2 or -2

Step-by-step explanation:

The edges lengths have decreased:

4/2=2

2/2=1

6/2=3

Transformation involves changing the position and size of a shape.

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

So, the scale of dilation from shape A to B is:

[tex]\mathbf{Scale = \frac{1}{2}}[/tex]

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

Read more about transformations at:

https://brainly.com/question/11707700

Answer:

Gym A and B offers the same price

Step-by-step explanation:

[tex]\huge\bold\color{steelblue}{\colorbox{white}{Answer:}}[/tex]

Both of them has the same price

━═━═━═━═━═━═━═━━═━═━━═━═━━═━═━═━═━═━═━═━

If you have any questions, feel free to ask me <33

#CarryOnLearning

#HelpBrainlyCommunityGreat

Answer:

[tex]4^m[/tex]

Step-by-step explanation:

When you exponent an exponent, you multiply the powers together.

When you divide exponents, you subtract the powers.

Step 1: Convert to same base

log₄64 = 3

Step 2: Rewrite equation

[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]

Step 3: Simplify

[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]

Step 4: Simplify

[tex]4^m[/tex]

Answer:  No the banner is not square.

Step-by-step explanation:

If it were square, the diagonal would be about 35.36 inches.

Pythagorean Theorem: a² + b² + = c²

?25² + 25² = 48² ?

625 + 625 ?=? 2304

1250 ≠ 2304

√1250 ≈ 35.3553

Answer:

The second option

Step-by-step explanation:

Source: trust me bro

Answer:

the answer you are looking for is the letter B. 33

Answer: 16.991°

Step-by-step explanation:

Used a triangle calculator hope this helped!

Answer:

Below.

Step-by-step explanation:

This is a parabola.

As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').

If we convert to vertex form we can find the line of symmetry  and the coordinates of the vertex:

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

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

f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1

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

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

So the line of symmetry is  x = 1/3 and

the vertex ( the minimum of the curve) is at (1/3, 2/3).

Answer:

The coordinates of r' are x = 10 and y = 12.

Step-by-step explanation:

The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:

Dilation with respect to origin

[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]

Translation

[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]

If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:

1) [tex](2,4)[/tex] Given.

2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.

3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.

4) [tex](6+4,12)[/tex] Translation.

5) [tex](10,12)[/tex] Vectorial sum. Result.

The coordinates of r' are x = 10 and y = 12.

Answer:

10,12 is the answer

Step-by-step explanation:

I just did it on a p e x

Answer:

54.88 square cm

Step-by-step explanation:

If d1 and d2 are the diagonal of parallelogram and [tex]\alpha[/tex] is the angle between then

then its area is given by

area = d1*d2 sin [tex]\alpha[/tex]

given

in the problem

for one diagonal one part is 7cm

we know that diagonal intersects each other to divide each part of same diagonal equally.

hence if one part is of length 7 then other part is also of 7cm length

hence full length of this diagonal is 7+7 = 14cm

similarly  full length of other diagonal is 4+4 = 8cm

now area of this parallelogram

area = d1*d2 sin [tex]\alpha[/tex]  = 14*4 sin100

we know sin100 = 0.98

area = 56*0.98

area = 54.88

Thus, area of given parallelogram is 54.88 square cm.

Answer:

Los valores entre los cuales oscila la distancia del automóvil después de 5 horas es entre 300 metros y 400 metros.

Step-by-step explanation:

Dado que la velocidad mínima del taxi = 60 km / h, la velocidad máxima del taxi = 80 km / h

Por lo tanto, tenemos la distancia mínima cubierta después de una hora = 60 km / h × 5 h = 300 m

La distancia máxima recorrida después de una hora = 80 km / h × 5 h = 400 m, lo que da el rango de variación de la distancia recorrida entre 300 my 400 metros.

Donde, la distancia cubierta = x, tenemos

300 metros ≤ x ≤ 400 metros.

Answer:

Step-by-step explanation:

Q1: <B = 150 °

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

8x-10 = 3x+90

5x=100 (subtract 3 from both sides)

x=20   (divide both sides by 5)

x = 20

<B= 3x +90

<B = 3 (20) +90

<B = 60 + 90

<B = 150

Q2: 62

An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.

An angle is 34 more than its complement.

Let x represent the angle.

Let y represent its complement.

x= 34 +(90-x)

y= (90-x)

x + y = 90

34 + (90-x) + (90-x) =90

x= 62

Check the answer.

x= 34 more than complement.

62-34=28

62+28=90

Checked!

Words of encouragement:

Good luck!

Answer:

Given :

length offshore = CS=√(1+X^2)

Cable charged = 5000√(1+X^2)

onshore length = 4-X

laying cost = 3000(4-X)

total cost:

C=5000√(1+X^2) +3000(4-X)

DC/DX

= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum

5000X=3000√(1+X^2)

25X^2=3+3X^2

22X^2=3

X=√(3/22)

= 0.3693 miles

So, it would be laid offshore to S in a manner that

BS=X=0.3693 miles

Onshore=4-0.3693

=3.6307 miles

Answer:   5s -3 = s -3 + 24    5s -3 = s + 21

Step-by-step explanation:

Father   f

Son   s .   present:  f = 5s  use this equation to substitute the equal value

3 years ago .  f-3 = s-3 + 24  

Substitute 5s for f in the second equation

5s -3 = s-3 + 24

works out as  5s -s = - 3  +3 + 24

4s = 24  

4s/4 = 24/4  

s = 6

The son's age is 6, The father is 30

Answer:

(- 1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 1 → (1)

3x - y = - 6 → (2)

Adding the 2 equations term by term eliminates the y- term, that is

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

2(- 1) + y = 1

- 2 + y = 1 ( add 2 to both sides )

y = 3

Solution is (- 1, 3 )

Answer: (-1,-3) or A on the quiz

Got it right

Have a nice day

Answer:

144mn + 32m - 64

:)

Step-by-step explanation:

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

Answer:

[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]

Step-by-step explanation:

[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]

[tex]\sf Remove \ brackets.[/tex]

[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]6n^4- 10n^2 + 10n[/tex]

Answer:

55°

Step-by-step explanation:

x°+35° is a right angle

so x°+35°= 90°

then : x° = 90°-35° = 55°

Answer: x = 20

Step-by-step explanation:

This problem makes use of Supplementary Angles.  Supplementary Angles states that all angles that makes up a straight line are equal to 180.  Thus, 125+35+x=180

First add

160+x=180

Then subtract

x=20

Hope it helps <3

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

Answer:

72 rocks.

Step-by-step explanation:

A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.

Divide 12 with 8:

12/8 = 1.5

Next, multiply the number you got (1.5) with 48:

48 x 1.5 = 72

Jessica can paint 72 rocks in 48 minutes.

~

Answer:

72 rocks

Step-by-step explanation:

So let’s create the following ratio 12:8

The 12 is the amount of rocks and the 8 is the time in minutes.

So we have to find how many rocks she can paint in 48 minutes.

So we make the following ratio x:48.

So we need to find x the amount of rocks she can paint in 48 minutes.

So to find x we have to divide 48 by 8 = 6.

So if the ratio is x6 we can just do 12 * 6 which is 72.

So she can  paint 72 rocks in48 minutes.

Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".

Answer:

La parte del total que aún está disponible es [tex] \\ \frac{11}{30}[/tex].

Step-by-step explanation:

El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, [tex] \\ \frac{1}{5}[/tex], de la fracción del total que compró Carlos, [tex] \\ \frac{1}{10}[/tex], y de la fracción del total que compró Francisca, [tex] \\ \frac{1}{3}[/tex].

Numericamente hablando, Rodrigo, Carlos y Francisca compraron:

[tex] \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}[/tex] [1]

Del total de los pasteles que vende la Señora Carmen.

La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:

Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:

Fracciones con denominadores diferentes

Fracciones con iguales denominadores

De esta forma:

[tex] \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}[/tex]

Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:

[tex] \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}[/tex]

[tex] \\ (\frac{10+5}{50})+\frac{1}{3}[/tex]

[tex] \\ \frac{15}{50} + \frac{1}{3}[/tex]

Se divide el numerador y el denominador de la fracción [tex] \\ \frac{15}{50}[/tex] entre cinco (5):

[tex] \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}[/tex]

Resultando:

[tex] \\ (\frac{3}{10})+\frac{1}{3}[/tex]

Esta fracción se suma a la siguiente y se procede de igual manera:

[tex] \\ \frac{3}{10}+\frac{1}{3}[/tex]

[tex] \\ \frac{3*3+10*1}{10*3}[/tex]

[tex] \\ \frac{9+10}{30}[/tex]

[tex] \\ \frac{19}{30}[/tex]

Tenemos entonces que:

De esta manera, la parte que aún está disponible es:

[tex] \\ 1 - \frac{19}{30}[/tex]

Podemos hacer [tex] \\ 1 = \frac{30}{30} = 1[/tex] (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):

[tex] \\ \frac{30}{30} - \frac{19}{30}[/tex]

[tex] \\ \frac{30 - 19}{30}[/tex]

[tex] \\ \frac{11}{30}[/tex]

El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.

Por lo tanto, la parte que aún está disponible es la fracción [tex] \\ \frac{11}{30}[/tex], la cual podría interpretarse como once (11) partes de las treinta (30), [tex] \\ \frac{11}{30}[/tex],  que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.