Solve by factoring 3x^2-3x-60=0

Answer:

the answer is -3 ihope your happy

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

o.5 x -2= -1

Answer:

$35.64

Step-by-step explanation:

$5.78 + $19.87 + $24.99 = $50.64

$50.64 - $15 = $35.64

Answer:

35.64

Step-by-step explanation:

24.99 + 19.87 + 5.78 = 50.64

50.64 - 15= 35.64

The surface area is 392in squared

do you have a picture

answer for this question is 1/16

Answer:

The answer is option B.

Step-by-step explanation:

Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face and she has a 70% chance of rolling a four.

She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game.

She wants to determine the probability that she rolls a four on three of her next five rolls.

The simulation design that is helpful here is :

B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

Answer is 36

150 • 24= 3,600

3,600/100= 36

Answer:

3.3 inches of air in the bag.

I don't know how to get the second part. Hope this helps! :)

Answer:?

Step-by-step explanation: what am I exactly reading it would better help if you typed it.

Answer:

see explanation

Step-by-step explanation:

Given

5x² - 4 - 8x

To find the zeros equate to zero and rearrange into standard form, that is

5x² - 8x - 4 = 0 ← in standard form

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × - 4 = - 20 and sum = - 8

The factors are - 10 and + 2

Use these factors to split the x- term

5x² - 10x + 2x - 4 = 0 ( factor the first/second and third/fourth terms )

5x(x - 2) + 2(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(5x + 2) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - [tex]\frac{2}{5}[/tex]

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

The sum of the zeros = - [tex]\frac{b}{a}[/tex]

The product of the zeros = [tex]\frac{c}{a}[/tex]

with a = 5, b = - 8 and c = - 4

The sum = 2 - [tex]\frac{2}{5}[/tex] = [tex]\frac{8}{5}[/tex]

and - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{5}[/tex] = [tex]\frac{8}{5}[/tex]

Thus verified

The product = 2 × - [tex]\frac{2}{5}[/tex] = - [tex]\frac{4}{5}[/tex]

and [tex]\frac{c}{a}[/tex] = [tex]\frac{-4}{5}[/tex] = - [tex]\frac{4}{5}[/tex]

Thus verified

Answer:

D

Step-by-step explanation:

General Equation: y = mx + b

You need two pieces of data to solve this.

When x = 1, y = 8

8 = 1x + b

When x = -1, y = 3

3 = - x + b

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

8 = x + b

3 = -x + b     If we add we get b so let's add.

11 =2b          Divide by 2

11/2 = b

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

y = mx + b

y = mx + 11/2      Now we can solve for m

3 = -m + 11/2      Subtract 11/2

3 - 11/2 = - m

- 2  1/2 = -m        multiply by - 1

2  1/2 = m

m = 5/2

The answer is D

The answer to the problem is C

Answer:  [tex]\bold{B)\quad y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]

Step-by-step explanation:

A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.

[tex]y=4cos\bigg(\dfrac{3}{2}x + \dfrac{\pi}{6}\bigg)\qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{\pi}{6}+\dfrac{\pi}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{4\pi}{6}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]

Answer:

the answer is A.  1  9/16 cubic feet

Step-by-step explanation:

V = lwh

V = (5/3 ft) (5/4 ft) (3/4 ft)

V = 75/48 cu. ft.

V = 25/16 cu. ft.

V = 1  9/16 cu. ft

Answer:

We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.

The density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given the data in the question;

First, we calculate the volume of the cube wood block.

Volume of a cube v = a³

v = ( 0.3m )³

v = 0.027m³

Now, we determine the density.

p = m / v

p = 18.954kg / 0.027m³

p = 702kg/m³

Therefore, the density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.

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Answer: B Or Option 2

Step-by-step explanation: Your Answer Will Be The Second Choice Have A Great Day!

Answer:

[tex](6x^2 -5) (x^2 +2 )[/tex]

Step-by-step-explanation:

We are given the following expression and we are to factorize it by grouping:

[tex]6x^4 - 5x^2 + 12x^2 - 10[/tex]

We will group the first two terms and the last two terms to get:

[tex](6x^4 - 5x^2) + (12x^2 - 10)[/tex]

For the first group we need to factor out x^2 and for the second group we will factor out 2.

[tex]x^2(6x^2 - 5) + 2(6x^2 - 5) [/tex]

[tex](6x^2 -5) (x^2 +2 )[/tex]

Answer:

50 =x

Step-by-step explanation:

The two angles are vertical angles, so they are equal

2 (x+10) = 3x-30

Distribute the 2

2x+20 = 3x-30

Subtract 2x from each side

2x-2x+20 = 3x-2x-30

20 = x-30

Add 30 to each side

20+30 = x-30+30

50 =x

Answer:

x = 50

Step-by-step explanation:

We are given a diagram showing two vertically opposite angles and we are to find the value of x.

We know that when two lines intersect each other, vertically opposite angles are formed which are equal to each other.

Therefore, we can write them as:

[tex] 2 ( x + 1 0 ) = 3 x - 3 0 [/tex]

[tex] 2 x + 2 0 = 3 x - 3 0 [/tex]

[tex] 3 x - 2 x = 2 0 + 3 0 [/tex]

x = 50

For this case we have to define trigonometric properties of rectangular triangles that, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. So:

[tex]Sin (53) = \frac {x} {10}[/tex]

We clear x:

[tex]x = 10 * without (53)\\x = 10 * 0.79863551\\x = 7,986,351[/tex]

Rounding:

[tex]x = 8[/tex]

ANswer:

8.0

Answer:

x could be the opposite or adjacent side ( sin or cos ) but it will still give you the same answer

Step-by-step explanation:

     sin Ф = opp/hyp                    

    sin 53 = x/10

10 sin 53 = x

            x = 7.99

  cos Ф = adj/hyp

   cos 37 = x/10

10 cos 37 = x

             x = 7.99

Answer:

Option D. The maximum number of rides is 11

Step-by-step explanation:

Let

r -----> the number of rides

we have

[tex]5.00+1.00r \leq 16.00[/tex]

Solve for r

[tex]1.00r \leq 16.00-5.00[/tex]

[tex]1.00r \leq 11.00[/tex]

[tex]r \leq 11.00[/tex]

The maximum number of rides is 11

therefore

Tom can spend at most $16.00 at the carnival

The price of admission to the carnival is $5.00

Each ride costs an additional $1.00

The maximum number of rides is 11

Answer:

The answer is D

Step-by-step explanation:

Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?

The total number of pieces in the puzzle’s is 3,750 pieces.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

we have,

3 puzzle having 1250 pieces in each.

So, the total number of pieces are

= 1250 x 3

= 3,750 pieces

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Answer:

175.415

Step-by-step explanation:

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

     =  8^2 + 4^2

     = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

      =  64 + 111.41

      = 175.415

!

Answer:

(3, 2)

Step-by-step explanation:

This is a system of equations so I'll solve it using the 'Addition method'.

3x - 2y = 5 | x + 2y = 7

Add the two equations together to get:

4x = 12

x = 3

Then we solve for y using the 2nd expression because it's easier.

3 + 2y = 7

2y = 4

y = 2

The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.

To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.

Steps to Find the Intersection

Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.

Answer:

52°

Step-by-step explanation:

<D = 360 - (78+106 + 124)

<D = 360 - 308

<D = 52°

Answer:

52

Step-by-step explanation:

<106+ 78+ 124>= 308

360-308=52

HOPE THIS HELPS!!!

Answer:

400

Step-by-step explanation:

maybe

i hope that helps

72 divided by 9 = 8

Hope I helped

Answer:

2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula [tex]a_{n}[/tex] = [tex]\frac{a_{n-1} }{4}[/tex] and

[tex]a_{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex], then

[tex]\frac{a_{3} }{4}[/tex] = [tex]\frac{9}{4}[/tex] ( multiply both sides by 4 )

a₃ = 4 × [tex]\frac{9}{4}[/tex] = 9

[tex]\frac{a_{2} }{4}[/tex] = 9 ( multiply both sides by 4 )

a₂ = 36

[tex]\frac{a_{1} }{4}[/tex] = 36 ( multiply both sides by 4 )

a₁ = 144

The first 4 terms are

144, 36, 9, 2 [tex]\frac{1}{4}[/tex]

The first four terms of the recursive formula are 144, 36, 9, 9/4 .

A recursive sequence is an infinite sequence of numbers where each number in the sequence is equal to a fixed linear combination of one or more of its before or after number. In a recursive sequence, the series of the number present follows a particular sequence of logic.

Given series is an = (an-1)/4 and also a4 = 9/4

Putting n = 4 in the given recursive sequence,

⇒ a3/4 = a4

∴  a3 = a4 * 4 = 9/4 * 4 = 9

Again putting n = 3 in the given recursive sequence,

⇒ a2 = 4*a3

∴  a2 = 4 * 9 = 36

Finally putting n = 2 in the recursive sequence,

⇒ a1 = 4 * a2

∴  a1 = 4 * 36 = 144

Therefore, the first four terms of the recursive formula are 144, 36, 9, 9/4 .

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Answer:

Each side of this equilateral triangle is 12 cm.

A = (1/2)(12)(6√3) = 36√3 cm²

The equilateral triangle, with a perimeter of 36 cm, has a side length of 12 cm. Its area is [tex]\(36\sqrt{3} \, \text{cm}^2\)[/tex], calculated using the formula [tex]\(\frac{\sqrt{3}}{4} \cdot s^2\)[/tex].

For an equilateral triangle, the perimeter (P) is related to the side length (s) by the formula P = 3s. From this, you can find the side length s by dividing the perimeter by 3:

[tex]\[ s = \frac{P}{3} = \frac{36}{3} = 12 \, \text{cm} \][/tex]

Now, you can use the side length to find the area (A) of the equilateral triangle. The formula for the area of an equilateral triangle is:

[tex]\[ A = \frac{\sqrt{3}}{4} \cdot s^2 \][/tex]

Substitute the value of (s):

[tex]\[ A = \frac{\sqrt{3}}{4} \cdot 12^2 \]\[ A = \frac{\sqrt{3}}{4} \cdot 144 \]\[ A = \frac{144\sqrt{3}}{4} \]\[ A = 36\sqrt{3} \, \text{cm}^2 \][/tex]

Therefore, the area of the equilateral triangle is [tex]\(36\sqrt{3} \, \text{cm}^2\)[/tex].

The median of injured players in a match is found by arranging the number of injuries in each game in ascending order and identifying the middle value. The method slightly varies depending on whether the total number of matches is odd or even. The question lacks specifics for a detailed calculation.

To find the median of injured players, you need to arrange the number of injured players in each match in ascending order and identify the middle value. However, your question doesn't provide the specifics of the frequency table for me to proceed with a step-by-step calculation. The median is found differently depending on whether there's an odd or even number of matches. If there's an odd number of matches, the median would be the value directly in the middle of the organized list. If it's an even number, you'd average the two middle values.

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Answer:

It is possible

Step-by-step explanation:

x = 1.5990374 + π     n , for any integer  n

B: 292.5; multiply 65x4.5

Using the formula d = rt, the distance traveled by a car moving at 65 miles per hour for 4.5 hours is calculated to be 292.5 miles.

Calculating Distance Traveled

To calculate the distance traveled by a car, we can use the formula d = rt, where d represents distance, r represents average speed (rate), and t represents time.

Given: average speed r = 65 miles/hour, time t = 4.5 hours.

Find: distance d.

We use the formula to solve for d:

d = (65 miles/hour)(4.5 hours) = 292.5 miles

Therefore, the car would travel a distance of 292.5 miles at an average speed of 65 miles per hour over 4.5 hours.