f(x) = 4x2 - 4x
Find f(-7)

Line plots are used to display data elements using markers

The total growth, in inches, of Isabella's plant is [tex]4\frac{1}2[/tex] inches

From the line plot, the total growth can be represented as:

[tex]Total = \frac 18 * 4 + \frac 28 * 2 + \frac 38 * 3 + \frac 48 * 1 + \frac 58 * 3[/tex]

Evaluate the products

[tex]Total = \frac 48+ \frac 48 + \frac 98 + \frac 48 + \frac {15}8[/tex]

Evaluate the sum

[tex]Total = \frac{4+4+9+4+15}8[/tex]

Evaluate the numerator

[tex]Total = \frac{36}8[/tex]

Evaluate the quotient

[tex]Total = 4\frac{1}2[/tex]

Hence, the total growth, in inches, of Isabella's plant is [tex]4\frac{1}2[/tex] inches

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Answer:

E and G

Step-by-step explanation:

The sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].

Given

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials.

Write each polynomial below their like term and then combine it.

First expression: [tex]\rm 2mn+4n^2[/tex]

Second Expression: [tex]\rm 5m^2-7mn[/tex]

Now, we will add vertically. If the variable part of the term is the same then it would be like a term.

By using the vertical format the addition is;

[tex]\rm 2mn+4n^2+0m^2[/tex]

[tex]\rm 5m^2-7mn+0n^2[/tex]

Now, combine their coefficient and write the variable as same.

[tex]\rm -5mn+4n^2+5m^2[/tex]

We can rearrange the term according to options.

[tex]\rm 5m^2+4n^2-5mn[/tex]

Hence, the sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].

To know more about Vertical format click the link given below.

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Step-by-step explanation:

to make it hopefully better visible :

(2a² + b³)(2a² - b³) = 4a² - b³

let's do the multiplication on the left side :

2a²×2a² - 2a²×b³ + 2a²×b³ - b³×b³ =

= 4a⁴ - b⁶

this is NOT the same as the right side of the original equation 4a² - b³

so, this is NOT an identity.

FYI

(a + b) × (a - b) is always a² - b²

Answer:

1/8

Step-by-step explanation:

To make any decimal into a fraction, it will need to be over 1. 0.125 needs to be put over 1.

= 0.125 / 1

Multiply the fraction by 8/8 to turn 0.125 into a whole number.

= 1 / 8

Answer:

[tex]\frac{95}{8}[/tex] or [tex]11\frac{7}{8}[/tex] or 11.875 pints of ice cream.

Step-by-step explanation:

1 guest will be served 5/8

19 guests will be served (5/8) * 19 = 95/8 pints of ice cream.

Fish = F

F + F(.2) = t

I think this is right

Answer:

B. 8X - 17 = 5x +19

Step-by-step explanation:

These are congruent so we set them equal to each other

Answer:

y = -3x + 5

Step-by-step explanation:

You want it in y = mx + b  form

-5 = -y - 3x

Add y to both sides

-5 + y = -y + y - 3x

-5 + y = -3x

Add 5 to both sides

- 5 + 5 + y = -3x + 5

y = -3x + 5

Answer:

y=3/2x+15

Step-by-step explanation:

Hi there!

We are given that a line passes through the point (-4,9) and has a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is  y=mx+b, where m is the slope and b is the y intercept

Since we are given the slope of the line already (3/2), we can plug it in as m into the equation.

y=3/2x+b

Now we must solve for b

As the equation passes through the point (-4, 9), it means that the point is a solution to the equation, meaning that it will result in a true statement when you plug its values into the equation

So let's plug the -4 as x and 9 as y into the equation

9=3/2(-4)+b
Multiply

9=-6+b
Add 6 to both sides

15=b
Substitute 15 as b into the equation

y=3/2x+15

Hope this helps!

Here is a link to a similar problem if you would like more practice: https://brainly.com/question/25508767

Answer:

-2k^2+3k-2

Step-by-step explanation:

(4k^2– 12) – (6k^2– 3k – 10)

Expanding using distributive prop.

4k^2-12-6k^2+3k+10

-2k^2+3k-2

La razón de cambio de la longitud de la sombra es [tex]\dot x = \frac{15}{7} \,\frac{ft}{s}[/tex].

Sabemos que la longitud de la sombra ([tex]x[/tex]), en pies, aumenta a medida que la niña se aleja del poste. Se puede derivar una expresión para la longitud de la sombra a partir de la semejanza entre dos triángulos rectángulos:

[tex]\frac{x}{5} = \frac{x+y}{12}[/tex]

[tex]\frac{12\cdot x}{5} = x+y[/tex]

[tex]y = \frac{7\cdot x}{5}[/tex] (1)

Donde [tex]y[/tex] es la distancia entre la niña y el poste, en pies.

Luego, obtenemos la expresión de razón de cambio por cálculo diferencial:

[tex]\dot x = \frac{5\cdot \dot y}{7}[/tex] (2)

Donde:

Si sabemos que [tex]\dot y = 3\,\frac{ft}{s}[/tex], entonces por (2) tenemos que la razón de cambio de la longitud de la sombra es [tex]\dot x = \frac{15}{7} \,\frac{ft}{s}[/tex]. [tex]\blacksquare[/tex]

Para aprender más sobre problemas de razón de cambio, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/11606037

Answer:

1 : 12

Step-by-step explanation:

[tex]\dfrac{1}{4}:3\\\\\\Multiply \ by \ 4\\\\\dfrac{1}{4}*4 : 3*4 = 1 : 12[/tex]

Answer:

1:12

Step-by-step explanation:

Multiply both sides of the ratio by 4 to remove the denominator of 1/4. (1/4x4=1; 3x4=12)

Answer:

Product of 11 and 3

Step-by-step explanation:

11 times 3 = 33.
11 is a factor of this and the other factor that is needed, is 3. The result is 33, which fits.

I hope this helped and please mark me as brainliest!

Answer:

option 1

Step-by-step explanation:

sin 60 = x/50

√3/2 = x/50

x = 25√3

Answer:

A

Step-by-step explanation:

If you solve it, for A you get -5x-10=-5x-10 which means all real numbers or infinite solutions

Answer:

b

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

its 20 because 2 times 6 is 12. 12 plus 8 equals 20

Answer:

85 adult tickets were sold.

Step-by-step explanation:

Let's let A = number of adult tickets sold and s = number of student tickets sold. Now, the number of adult tickets and student tickets sold added equal 340 tickets.

Therefore, A + s = 340

We also know that number of student tickets sold was three times the number of adult tickets sold.

Therefore, s = 3A

We can now substitute s with 3A.

A + 3A = 340

4A = 340 (Divide both sides by 4.)

A = 85

Therefore, 85 adult tickets were sold. Please mark brainliest if possible and I hope you get a good grade on your homework.

Answer:

Step-by-step explanation:

a) Pythagorean theorem,

altitude² + base² = hypotenuse²

h²  + (w² - 1)² = (w² + 1)²

                    h² = (w² + 1)² - (w² - 1)²    

{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}

                   h² = 4*w²*1

                   h² = 4w²

                   [tex]h=\sqrt{4w^{2}} = \sqrt{2*2*w*w} \\\\\\h = 2w[/tex]

b) Area of triangle = [tex]\frac{1}{2}b*h[/tex]

                               [tex]=\dfrac{1}{2}*(w^{2}-1) *2w\\\\= (w^{2}-1)*w = w^{2}*w - 1*w\\\\=w^{3}-w[/tex]

c) w =2

Area of triangle = 3w = 3*2 = 6

Answer:

45

Step-by-step explanation:

x,30,24,16

since,they are in proportion

x/30=24/16

16x=720

x=720÷16

x=45

therefore the value of x is 45.

Answer:

Step-by-step explanation:   2003160

If you add them up, you get 2003160.

So the lakes holds 2003160 LITERS of water to the current date.

Please mark Brainliest I need it

Answer:

2,003,160 liters of water

Step-by-step explanation:

We see the key word greater, we know to add.

1,620,757 + 382,403

= 2,003,160

The lake currently holds 2,003,160 liters of water.

Hope this helps, please mark brainliest if possible :)

Answer:

3,3  6,3 3,9 6,9

Step-by-step explanation:

follow the dot to the number

Answer: Make a horizontal or vertical line close to the rectangle. after you do that make a reflection. Just graph that out and that should be the answer.

Step-by-step explanation: Hope this helps

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Given to us

A + [11   17   -8    13] = [0   0   0   0]

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11   17   -8    13] = [0   0   0   0]

A = [0   0   0   0] - [11   17   -8    13]

A = [-11   -17   +8    -13]

Thus, the matrix is equal to [-11   -17   +8    -13].

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11   17   -8    13] is been added to it.

Thus, the sum of the two matrices has no solution.

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The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.