How to factor 3x^2-10x-8?

Answer:

1) A.

2) C.

Step-by-step explanation:

1) 1 pint = 1/2 quarts

15 pints = 15 × 1/2 quarts

15 pints = 15/2 quarts

15 pints = 7 1/2 quarts

2) 1 quarts = 0.95 liters

4 quarts = 0.95 × 4 liters

4 quarts = 3.8 liters

Answer:

[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]

[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define the problem

Given:

Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.

Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).

Task:

Lorrie wants to determine the distance she may have traveled.

Key point:

The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:

[tex]d = s[/tex] x [tex]t[/tex]

Step 2: Substitute given data into the main relation

with: [tex]s > 8[/tex] and [tex]t = 2[/tex]

=>     [tex]d = s[/tex] x [tex]t[/tex]

=>     [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]

Simplify:

        [tex]d > 16[/tex]

Step 3: Verify Lorrie's inequality

Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].

Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].

=> Lorrie's conclusion is incorrect.

Hope this helps!

:)

Answer:

Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.

Step-by-step explanation:

took the test

Answer:

1/2

Step-by-step explanation:

The results of the roll can be

1,2,3,4,5,6

The rolls that are less than 4 are 1,2,3

P( less than 4) = number of rolls less than 4 / total

                        = 3/6

                         =1/2

Answer:

Option B

Step-by-step explanation:

First we would identify the coordinates of the points before they are rotated.

A(2, 0), B(4, 0), C(5, -2), D(1, -2)

Plot a graph with the coordinates.

We find that the figure appears in the fourth quadrant.

Find attached the diagram.

To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.

That is positive sign becomes negative and vice versa:

A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)

This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.

Plotting the new coordinates on a graph would give option B.

Step-by-step explanation:

first minute = 24 wildebeest

by 20 min = (20 × 3) + 24 = 84 wildebeest

Answer:

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

[tex]m= \frac{-2-0}{1-(-3)}[/tex]

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

[tex]m = \frac{4-1}{1-(-1)}[/tex]

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

[tex](\frac{-3+4}{2}, \frac{2-1}{2})[/tex]

Simplify:

Midpoint = (1/2, 1/2)

Answer:

a = 0

Step-by-step explanation:

=> 3(a+4)-5(a-2) = 22

Opening Brackets

=> 3a+12-5a+10 = 22

=> 3a-5a+12+10 = 22

=> -2a+22 = 22

Subtracting 22 to both sides

=> -2a = 0

Dividing both sides by -2

We get,

=> a = 0

Answer:

a = 0

Step-by-step explanation:

3(a+4)-5(a-2)=22

3a+12-5a+10=22

-2a+22=22

Subtract 22 from both sides

-2a=0

Multiply both sides by -1

2a= -0

2a=0

Divide both sides by 2

a=0

Hey I just realized my answer is really similar to Ujalakhan01's so sorry if it seems like I copied them.

Answer:

√24

Step-by-step explanation:

4.89897948 will be the answer. Which is a number in between 4 and 5. Hope this helps :)

Answer:

The answer is 2 different angles, 53° and 127°.

Explanation:

As you subtract 180° from the given angle to find the other angle, you will get only 2 angles either 53° or 127°.

Answer:

-2/3

Step-by-step explanation:

Perpendicular slopes have lines that multiply to -1

m* 3/2 = -1

Multiply each side by 2/3

m* 3/2 * 2/3 = -1 * 2/3

m = -2/3

The slope of the perpendicular line is -2/3

Answer:

The answer is B

I use an online graphing calculator called Desmos. You should check it out some time :)

Answer:

$14

Step-by-step explanation:

35% is the same as multiplying by .35

40 * .35 = 14

Answer:

We need to subtract both equations. 2x3+30x-130-2x3+3x+520

that gives

30x-130+3x + 520

33x+390

D is answer

Answer:

D. 33x + 390

Step-by-step explanation:

Profit is the difference between revenue and cost so subtract the given polynomials:

2x³ + 30x – 130 - (2x³ – 3x – 520) = 2x³ + 30x – 130 -2x³+3x+520

combine like terms: 33x +390

Answer:

B

Step-by-step explanation:

When you finish solving an equation and find the answer to be that two numbers are equal to each other when they are in fact, this means that the equation has no solutions because not values could make it true. Hpope this helps!

Answer:

I think it is B

Step-by-step explanation:

Answer:

Options A, E

Step-by-step explanation:

If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;

[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]

Refer to Solution below;

A. Check!

E. Check!

Answer:

option c is correct

Step-by-step explanation:

please mark me brainlest

please thanks

Answer:

Step-by-step explanation:

Answer is C.  0.132

Answer:

Step-by-step explanation:

Take you ruler and draw a horizontal line from point (0,-2)

When you do, the point where y = -2 is when x = - 3

Answer:

x = -3

Step-by-step explanation:

the question asks for what x the function = -2

if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0

Answer:

A

Step-by-step explanation:

It is a 90-degree rotation counterclockwise 2 units left and 3 units down.

Answer:

7A - 42

Step-by-step explanation:

7(A-6)

Distribute

7*A - 7*6

7A - 42

Answer:

y = 1 + x/2

x = -2 + y

Step-by-step explanation:

Theres no question here so i just solved for x and y.

Step-by-step explanation:

y=1x/2+1

Answer:

see below

Step-by-step explanation:

g(x) = (x² - 2 * 1/2 x) - 6

      = (x - 0.5)² - 0.25 - 6

      = 1(x - 0.5)² - 6.25

Answer:

9/22

Step-by-step explanation:

They are 30 25-fils coins, 25 10-fils coins, 40  5-fils coins and 15 1-fils coins.

The total number of fils coins = 30 + 25 + 40 + 15 = 110 coins

The probability of picking n-fils coin = number of n fils coin /  total number of fils coins.

Therefore:

The probability of picking 25-fils coin = number of 25 fils coin /  total number of fils coins = 30/110 = 3/11

The probability of picking 10-fils coin = number of 10 fils coin /  total number of fils coins = 25/110 = 5/22

The probability of picking 5-fils coin = number of 5 fils coin /  total number of fils coins = 40/110 = 4/11

The probability of picking 1-fils coin = number of 1 fils coin /  total number of fils coins = 15/110 = 3/22

The probability that the first coin  he picks is a 25-fils coin or a 1-fils coin = The probability of picking 25-fils coin + The probability of picking 1-fils coin = 3/11 + 3/22 = 9/22

Answer:

6/13

Step-by-step explanation:

There are 13 marbles total in the bag.

The chance of picking a green marble is 6/13. This fraction cannot be simplified.

[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]

Answer: 24 m^3

Step-by-step explanation:

Given that you have a base with an area of 6 square meters, it has already calculated the product of length and width. In the Volume Formula Length x Width x Height, you're pretty much multiplying that given area by a height of 4, since you already have that length and width in the form of 6 square meters. The result you'll have is 24 Meters Cubed.

Answer:

The trip is 45 and 1/2 miles long

Step-by-step explanation:

Answer:

slope= y²-y¹

x²-x¹

0-6

3-0

-6

3

= -2

Answer:

D

Step-by-step explanation:

A. The domain of this function is infinite, since x can be any number.

B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).

C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.

D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.

Hope this helps!

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)

[tex]V^{2}[/tex] = 196 - 41.202

[tex]V^{2}[/tex] = 154.8

v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as

a = -9.81 m/s^2

0 = [tex]14^{2}[/tex] + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]

7.49 = (0 x t) +  [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )

7.49 = 0 + 4.9[tex]t^{2}[/tex]

[tex]t^{2}[/tex]  = 7.49/4.9 = 1.53

t = [tex]\sqrt{1.53}[/tex] = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

Answer:

First one

Step-by-step explanation: