What is the simplest form of (–4v + 7)(3v – 5)?

A. −12v2−41v−35
B. −12v2−1v−35
C. −12v2+1v−35
D. −12v2+41v−35

Answer:

2x³+17x²+25x-50

Step-by-step explanation:

Standard Form: All your numbers and variables in order of the highest exponent.

(2x²+7x-10)(x+5)

We want to distribute x and 5 to every single value.

2x³+7x²-10x+10x²+35x-50

Simplify.

2x³+17x²+25x-50

This is standard form because the highest values are on the left (x³ is larger than x²).

ARITHMETIC SEQUENCE

an = a1 + (n-1)d

.

The formula above is used to get the nth term of an arithmetic sequence, but we can also use it to know the number of terms (n).

.

Given:

a1 = 4

d = a2 - a1 = 1 - 4 = -3

an = -29

n = ?

.

Solution:

an = a1 + (n-1)d

-29 = 4 + (n-1)-3

-29 = 4 + (-3n + 3)

-29 = -3n + 7

-29 - 7 = -3n

-36 = -3n

-36/-3 = -3n/-3

12 = n

.

Therefore, -29 is the 12th term of the arithmetic sequence 4, 1, -2, -5, ...

104(th) term in sequence -4, -1, 2, 5 would be 305.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is to find 104(th) term in sequence -4, -1, 2, 5.

The sequence given is a arithmetic progression. We can write the function for nth term as -

a{n} = a + (n - 1)d

a{104) = - 4 + 103 x 3

a{104} = - 4 + 309

a{104} = 305

Therefore, 104(th) term in sequence -4, -1, 2, 5 would be 305.

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JK=LM (line from any point of circumference to another pointer of circumference)

Answer:

<1=54, <2=36, <3=90, <4=36

Step-by-step explanation:

in the rhombus shown, there are 4 congruent right triangles because the disgonals of a rhombus are perpendicular and the sides of a rhombus are congruent. We already know that the larger acute angles are all 54 degrees and we can use triangle sum to find that the smaller acute angles are all 36 degrees. Obviously the right angles are 90 degrees, so we can look at the picture and find the marked angles.

The value of PM is the circle is about 11.66 cm

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

From the diagram:

PM = PQ/2 = 20 / 2 = 10 cm

Hence, using Pythagoras:

PL² = LM² + MP²

PL² = 6² + 10²

PL = 11.66 cm

The value of PM is the circle is about 11.66 cm

Find out more on Pythagoras theorem at: https://brainly.com/question/343682

Answer:

  40.4

Step-by-step explanation:

We don't have access to your drawing tools, so we have used our own. The attachment shows the triangle and the angle.

  ∠ABC ≈ 40.4°

Answer:

C

Step-by-step explanation:

150/5 would equate to 30, which would mean that the proportional relationship between the hours (x) and the amount of money per hour (y,30) would be represented as 30x

Answer:

[tex]\displaystyle \frac{3\sqrt{230}}{5}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b[/tex]

So, you have this:

[tex]\displaystyle 9,1 ≈ b[/tex]

I am joyous to assist you at any time.

Answer:

Area= [tex]\frac{1}{2}[/tex]bh

Step-by-step explanation:

so, A=  [tex]\frac{1}{2}[/tex](21)(3)= 31.5 [tex]m^{2}[/tex]

Answer:

Area = 31.5

Step-by-step explanation:

[tex]A=\frac{H_bb}{2}=\frac{3*21}{2}=31.5[/tex]

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Answer:

Carla: 65 * 0.20 = $13 Joe: 80 * 0.18 = $14.40 Joe received higher tips :) hope this helps

Answer:

(-3, -6)

explanation:

When reflected across x axis, the x value will be same and y value will become negative.

original coordinates of D: (-3, 6)

Answer:

2:00 PM

Step-by-step explanation:

time per student = 60 mins = 1 hr

number of student = 4

time of break = 10 mins

hr : mins

start: 9:30 AM

student 1: 1

break: 10

student 2: 1

break: 10

student 3: 1

break: 10

student 4: 1

[tex] - - - - - - [/tex]

13:60 --> 1 hr

= 14:00

2:00 PM (ANS)

Answer:

(5, 4)

Step-by-step explanation:

Use the formula at the top of the page:

(x, y)⇒(y, -x)

So, in this case, x = -4 and y = 5.

Use the formula, and you get:

(-4, 5)⇒(5, 4) ------ A negative number with a minus in front of it becomes a positive number.

Answer:

[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]

Step-by-step explanation:

area of sector, A:

[tex]A = \dfrac{n}{360^\circ}\pi r^2[/tex]

n = measure of the central angle of the sector in degrees

r = radius of circle

Here we have n = 240°, and r = 16 ft.

[tex]A = \dfrac{240^\circ}{360^\circ}\pi \times (16~ft)^2[/tex]

[tex] A = \dfrac{2}{3}\pi \times 256~ft^2 [/tex]

[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]

Answer:

4

Step-by-step explanation:

area of circle= pi*r^2

50.24=3.14*x^2

50.24/3.14=16

50.24/3.14= x^2

16=x^2

4=x

Check the picture below.

The perimeter of the given triangle is 73.8 inches.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

The length of the altitude is 25 inches, and the length of the base is 20 inches.

Using the Pythagoras theorem, to find the hypotenuse of the triangle :

Hypotenus = √(25² + (20/2)²)

Hypotenus = √(625+ 100) = √725= 26.9  inches

The perimeter of a triangle :

(base + side 1 + side 2) = (20 + 26.9 + 26.9 ) = 73.8 inches

Therefore, the perimeter of the triangle is 73.8 inches.

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Answer:

b 60 -4x 50 +2x=2,800 is 50 +. 2x

Answer:

Step-by-step explanation:

Comment

There is a short cut to this and we might just as well use it. Start by writing the general formulas for the volume of a cylinder and the volume of the cone

Equation

V_cylinder = pi * r^2 * h

V_Cone = (1/3) pi * r^2 * h1

Solution

The volumes are equal, so the right sides must be equal as well

pi * r^2  *  h = (1/3)*pi * r^2 * h1         Divide both sides by pi

r^2 * h = (1/3) * r^2 * h1                      Divide both sides by r^2

h = (1/3) * h1                                       Multiply both sides by 3

3*h = h1                                             h = 11 (given)

3*11 = h1

33 = h1

Answer: the cone's height = 33 meters.

Answer:

The no. of boys = 20

The no. of girls = 12

Step-by-step explanation:

Ratio of no. of boys to girls = 5 : 3

[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]

5x + 3x = 32

= 8x = 32

=x = 32÷8 = 4

5x = 5 x 4 = 20

3x = 3 x 4 = 12

boys : girls = 5 : 3 (total ratio = 8)

boys = 5/8 x 32 = 20

girls = 3/8 x 32 = 12

Answer:

_89,726

Step-by-step explanation:

This would be a negative answer in less you mean 100,000 - 10,274.

This would be negative because 10,000 per say can't subtract 100,000 in less it goes on the negative side.

But if you meant 100,0000-10,274 it is the same answer just with no nefative sign

Hope this heos have a great day

Answer:

[tex]( x + 15)(x-15)[/tex]

Step-by-step explanation:

[tex]x^2-225[/tex]

[tex]\mathrm{Rewrite\:}225\mathrm{\:as\:}15^2[/tex]

[tex]=x^2-15^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]x^2-15^2=\left(x+15\right)\left(x-15\right)[/tex]

[tex]\mathrm{\left(x+15\right)\left(x-15\right)}[/tex]

~Learn with Lenvy~

Answer:

$5.88

Step-by-step explanation:

Step 1: Multiply 6 by 98.

Step 2: Divide 588 by 100.

Therefore, the sales tax price is $5.88.

Answer:

I believe it would be $5.88

Answer:

I believe it is number 3.

Answer:

1 batch of sky blue paint:

Clare can make 2 batches of sky blue paint by multiplying the components by 2:

2 batches of sky blue paint:

So she will need 4 cups of blue paint and 2 gallons of white paint to make 2 batches of sky blue paint.

To make a mixture that is a darker shade of blue, increase the proportion of blue paint and reduce the proportion of white paint.

To make a mixture that is a lighter shade of blue, increase the proportion of white paint and reduce the proportion of blue paint.

Answer:

-.25,-0.9,-4.75,-8

Step-by-step explanation:

sorry if im wrong

Answer:

1. -0.25

2. -0.9

3. -4.75

4. -8

Step-by-step explanation:

Answer:

2) Difference of two squares

3) Perfect square trinomial

Step-by-step explanation:

Hope it helps you in your learning process.