solve the quadratic equation 8x^2-5x-4=0

Answer:

The largest possible number is 28.

Step-by-step explanation:

Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).

We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.

Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]

So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).

Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.

Answer:

1. 10.64

2. 6.45

Step-by-step explanation:

Hope this helps and can u mark me brainliest?

Answer:

30

Step-by-step explanation:

The LCM of 2,3,5 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 2,3,5 is 2⋅3⋅5 = 30

Answer:

30

Step-by-step explanation:

Its that easy. I got the answer from online.

Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.

Select all the true statements about the situation.

Options:

1. The domain of function h only contains values greater than or equal to 0.

2. The orange is at the same height 1 second after launch and 2 seconds after launch.

3. After 3 seconds, the orange has hit the ground.

4. The orange is 15 feet above the ground when it is launched.

5. The value t = 10 does not belong to the domain of h.

Answer:

Option 1 - True

Option 2 - False

Option 3 - False

Option 4 - True

Option 5 - True

Step-by-step explanation:

Looking at the options,

-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.

- At t = 1 second;

h = 15 + 60(1) - 16(1)²

h = 15 + 60 - 16 = 59 ft

Also, at t = 2 seconds;

h = 15 + 60(2) - 16(2)²

h = 15 + 120 - 64 = 71 ft

So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.

- The orange will hit the ground when h(t) = 0.

However, at t = 3;

h(t) = 15 + 60(3) - 16(3)²

h(t) = 51 ft

h(t) is not equal to zero at t = 3, so option 3 is false

- when the orange is launched it is at time t = 0.

Thus,

h(0) = 15 + 60(0) - 16(0)²

h(0) = 15 ft

So option 4 is true.

- At t=10, h(t) = 15 + 60(10) - 16(10)²

h(10) = -985

This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.

Answer:

1 true 4 true and 5 true the rest are false

Step-by-step explanation:

Answer:

[tex] \boxed{Length \: of \: each \: side \: of \: cube = 5.2 \: mm} [/tex]

Given:

Volume of cube = 140.608 cubic millimetres

Step-by-step explanation:

Let the length of each side of cube = a

[tex] = > Volume \: of \: cube = {a}^{3} \\ \\ = > 140.608 = {a}^{3} \\ \\ = > {a}^{3} = 140.608 \\ \\ = > {a}^{ \cancel{3}} = {5.2}^{ \cancel{3}} \\ \\ = > a = 5.2[/tex]

Therefore length of each side of cube = 5.2 mm

Answer: Claire made 42 muffins by closing time

Step-by-step explanation:

Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.

Answer:

33.165

Step-by-step explanation:

Answer:

33.165

Step-by-step explanation:

4.95*6.7= 33.165

hope this helps

Answer:

V = pi r^2 h

Step-by-step explanation:

The formula for the volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

Answer:

pi × r² × h

Step-by-step explanation:

Formulae for volume of a cylinder is:

V = pi × r² × h

Where,

r is the radius

h is the height

For pi, either use the value on the calculator or an approximate value of 3.14

Answer:

(x - 4)

Step-by-step explanation:

Given

x² + 2x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)

The factors are + 6 and - 4, since

6 × - 4 = - 24 and 6 - 4 = + 2, thus

x² + 2x - 24 = (x + 6)(x - 4) ← in factored form

Thus the other factor is (x - 4)

The solution is Option D.

The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 2x - 24 = 0   equation (1)

The equation can be factorized as

x² + 6x - 4x - 24 = 0

Taking x as the common factor , we get

x ( x + 6 ) - 4 ( x + 6 ) = 0

So , the equation will be

( x + 6 ) ( x - 4 ) = 0

Therefore , the factors of x are -6 and 4

Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )

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Answer:

Multiplication Property of Equality

Step-by-step explanation:

Answer:

Division Property of Equality..

Step-by-step explanation:

Answer:

(0, 5)

Step-by-step explanation:

To solve for the y-intercept, plug in 0 for all x values and solve.

First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.

Answer:

Step-by-step explanation:

6 - 2x = 5x - 9x + 10  {add the like terms}

6 - 2x = - 4x + 10        {add (-6) to both side}

6 - 2x - 6 = - 4x + 10 - 6

-2x = - 4x + 4         {add 4x to both sides}

-2x + 4x = -4x + 4 + 4x

2x = 4           {divide both sides by 2}

2x/2x = 4/2

x = 2

Answer:

The answer is (-$200) to the left

Step-by-step explanation:

Solution

It is assumed that when a number is positive,  it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as  deposit to a bank account, then a negative number is a withdrawal from that bank account.

So, If a positive number means addition, then a negative number would also mean subtraction.

The amount that represents a withdrawal of less than $200 would be (-$200)

Answer:

"I think there are a whole bunch of points that are 3 units away from (-5, 0)". Lin's statement is correct.

Step-by-step explanation:

from the question, the point has a coordinate (-5, 0) which can be plotted on a Cartesian plane to show its location or position. A Cartesian coordinate is a system that consists of two perpendicularly intersecting axis used for plotting of the locations or positions of given points.

There are a whole bunch of points that are 3 units away from (-5, 0) because real numbers that are 3 units away are more than 4. Real numbers consists of all rational numbers, fractions and irrational numbers. So if all real numbers that are 3 units away from (-5, 0) are plotted, then the points would be more than 4.

Therefore, Lin's statement is correct.

Answer:

A =78.5

Step-by-step explanation:

We need the radius to find the area of a circle

r = d/2 = 10/2 =5

The area of a circle is given by

A = pi r^2

A = 3.14 (5)^2

A =3.14 (25)

A =78.5

Answer:

57

Step-by-step explanation:

Firstly, we will need to calculate what x is.

To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.

This means A and B are supplementary while B and C are also supplementary

what we are trying to say is that they add up to be 180

Thus,

5x + 18 + 3x -6 = 180

8x +12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57

Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57

Answer:

The height of this cylinder = 9.55 ins

Step-by-step explanation:

Volume cylinder = pi * r² * h = 30 ins

r=1

pi * r² * h = 30

pi * 1² * h = 30 ins

h = 30/pi

h = 9.55 ins

Answer:

= 99/32

Step-by-step explanation:

2 3/4 1 1/8

= 11/4 * 9/8

= 99/32

Answer:

cost

Step-by-step explanation:

Answer:

It is the cost

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

A. 4

Step-by-step explanation:

leading zeros not included and the sig figs start from the first 1 so 4 sig figs

Answer:

4

Step-by-step explanation:

Answer:

10125

from 10:30 to 11:15 is 45 mins so 225*45=10125

If Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am then she can talk 2025 words.

Two or more expressions with an equal sign is called as equation

Given that,

Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, we need to find number of words she can talk 10:30 am to 11:15 am.

We know that in 1 hour we have 60 minutes.

From 10:30 am to 11:15 am we have 45 minutes.

Now we can formulate an equation

225/5=x/45

Apply cross multiplication

225×45=5x

10125=5x

Divide both sides by 5.

x=2025.

Hence 2025 words she can talk from 10:30am to 11:15am.

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Answer: 1.83712

Step-by-step explanation:

Answer:

[tex]\sqrt{3.375}[/tex] = ~1.837

Answer:

On this picture, it is b, but for edge, it is c

Step-by-step explanation:

Answer:

c but b in the pic

Step-by-step explanation:

Answer:

The first choice is correct

Answer:

A which is the top left answer

Step-by-step explanation:

Answer:

116.6

Step-by-step explanation:

100^2 + 60^2 = c^2

1360 = c^2

square root of 1360 is 116.6

Answer:

Shortcut = 116.62

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]

Answer:

1000/10x12= answer

Step-by-step explanation:

Part A:

Divide the number of lightning strikes to the number of seconds to find the average rate.

1000 / 10 = 100 strikes per second

Now, multiply by 12 to find the number of strikes that occurred.

100 * 12 = 1200 strikes in 12 seconds

Part B:

Divide the number of seconds to the number of lightning strikes to find the average rate.

10 / 1000 = 0.1 seconds per strike

Now, multiply by 7250 to find the number of seconds that passed.

0.1 * 7250 = 72.5 seconds in 7250 strikes

Best of Luck!