What is the vertex and x-intercepts of -6x^2-50x+3085. 25

Answer:v = 9

Step-by-step explanation:

Simplifying

2(3v + 8) = 70

Reorder the terms:

2(8 + 3v) = 70

(8 * 2 + 3v * 2) = 70

(16 + 6v) = 70

Solving

16 + 6v = 70

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 6v = 70 + -16

Combine like terms: 16 + -16 = 0

0 + 6v = 70 + -16

6v = 70 + -16

Combine like terms: 70 + -16 = 54

6v = 54

Divide each side by '6'.

v = 9

Answer: the answer is 9

Step-by-step explanation:

1. open the bracket by multiplying: 2(3v+8)=70

6v+16=70

2. take the 16 over the equals sign.  note:(the plus sign in front of the 16 changes to a minus sign.)

6v=70-16

6v=54

3. divide both sides by 6

6v/6=54/6

final answer: v=9

The probability that the card that Olga turns over has a rose on it would be 4/5.

Since, Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that;

There are 5 cards with a picture of a rose and 1 card with a picture of a daisy.

Olga keeps all the cards face down on the table with the pictures hidden and mixes them up.

Then , Total number of cars after Olga removed one rose card from the table is,

4 rose cards + 1 Daisy card

= 5

Therefore, the probability divide the number of rose cards left by the total number of cards left is,

= 4/5

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Step-by-step explanation:

So in order to find out how much he needs to sell, let's find out what the target is. We do that by working options A.

$19 for 40 hours

\(40 \times 19 = 760\)

Now that we have 760, we know this amount is 8%. Next we setup a ratio

\( \frac{760}{x} = \frac{8\%}{100\%} \)

We cross multiply

\(8x = (760)(100)\)

\(8x = 76000\)

Last but not least, we divide by 8 on both sides

\(x = 9500\)

Let's translate the argument into symbolic form using the following symbols:

B: Brazil has a huge foreign debt.

A: Argentina has a huge foreign debt.

The argument can be represented as follows:

B → (B ∨ A)

To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.

The truth table for the argument is as follows:

B A B ∨ A B → (B ∨ A)

T T T T

T F T T

F T T T

F F F T

As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.

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Step-by-step explanation:

the answer is 2y=16x+14

The equations that could be the other equation are y = 8x - 7 and y = -8x + 7.

If the system of equations has no solution, then the other equation must not have the same slope-intercept form as the first equation.

The slope-intercept form of the equation y = 8x + 7 is y = mx + b, where m is the slope and b is the y-intercept. Thus, the slope of the first equation is 8 and the y-intercept is 7.

Now let's check each of the given equations to see which one could be the other equation.

2y = 16x + 14

Rewriting this equation in slope-intercept form, we get y = 8x + 7, which is the same as the first equation. Therefore, this equation cannot be the other equation.

y = 8x – 7

This equation has the same slope as the first equation but a different y-intercept. Therefore, it represents a different line and could be the other equation.

y = –8x + 7

This equation has a slope that is the negative of the slope of the first equation, so it represents a different line. Therefore, it could be the other equation.

2y = −16x − 14

Rewriting this equation in slope-intercept form, we get y = -8x - 7, which has the same slope as the first equation but a different y-intercept. Therefore, it represents a different line and could be the other equation.

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Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

The volume of the water bottle in quarts is approximately 0.39625 quarts, rounding to two decimal places, the volume of the water bottle in quarts is approximately 0.40 quarts.

To convert milliliters to quarts, we need to use a conversion factor.

One quart is equal to 946.3529 milliliters, so we can write this as:

1 quart = 946.3529 ml

To convert from milliliters to quarts, we can use the following formula:

volume in quarts = volume in milliliters / 946.3529

In this case, the volume of the water bottle is given as 375 ml.

To convert this to quarts, we can substitute into the formula:

volume in quarts = 375 ml / 946.3529 = 0.39625 quarts

Rounding to two decimal places, we get:

volume in quarts ≈ 0.40 quarts

Therefore, the volume of the water bottle in quarts is approximately 0.40 quarts. This conversion is useful for comparing volumes in different units or for using recipes that require measurements in quarts.

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The square numbers are 9x10^4, 9x10^3 .

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Answer:

a: y = -2x   b: y = 2x - 1

Step-by-step explanation:

a: because -2=m= a negative slope. because b=0, the y-intercept=0=origin

b: 2x=positive slope= upwards from left to right. because the y-inter. = -1, -1 is less than 0=below x-axis

Answer:

5(y+7)

Step-by-step explanation:

Answer:

5(y + 7)

Step-by-step explanation:

Answer:

x ≈ -7.73 , - 4.27

Step-by-step explanation:

x² + 12x + 33 = 0 ( subtract 33 from both sides )

x² + 12x = - 33

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(6)x + 36 = - 33 + 36

(x + 6)² = 3 ← take square root of both sides )

x + 6 = ± \(\sqrt{3}\) ( subtract 6 from both sides )

x = - 6 ± \(\sqrt{3}\)

Then

x = - 6 - \(\sqrt{3}\) ≈ - 7.73 ( to the nearest hundredth )

x = - 6 + \(\sqrt{3}\) ≈ - 4.27 ( to the nearest hundredth )

For given Squares, The area of Shaded region will be 16-x².

What are squares?

In geometry, a square is a two-dimensional shape that has four sides of equal length and four right angles (90-degree angles). Each side of a square is parallel to its opposite side, and the diagonals of a square bisect each other at right angles. The formula for the area of a square is A = s², where A is the area and s is the length of one side.

Now,

As Area of Square= side²

Area of shaded region=Area of Bigger square - Area of White Square

and Side of bigger square=4

Side of White Square = x

Then

A (Area of shaded region) = 4²-x²

A=16 - x²

Hence,

          The area of Shaded region will be 16-x².

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The digit most likely to be the unit digit of the sum is 2.

The minimum sum of two dice is 2 (when both dice show 1), and the maximum sum is 12 (when both dice show 6). To find the digit most likely to be the unit digit of the sum, we can create a table of all possible sums and count the frequency of each unit digit:

Sum Unit Digit

2                                    

3 3

4 4

5 5

6 6

7 7

8 8

9 9

10 0

11 1

12 2

From the table, we can see that the unit digit 2 appears the most frequently, with three possible ways to obtain it (sums of 2, 12, and 20). Therefore, the digit most likely to be the unit digit of the sum is 2.

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Based on the given time; the number the second hand points at are;

There are a total of 12 numbers on a clock starting from 1 and ending at 12

There are 60 strokes or lines with equal spaces on a clock

Each stroke or line represents a second

60 seconds = 1 minutes

1. 15 seconds after 1:00.

= The seconds hand points at 3

2. 30 seconds after 1:00.

The seconds hand points at 6

3. 1 minute after 1:00.

1 minutes = 60 seconds

The seconds hand points at 12

4. 5 minutes after 1:00

5 minutes = 300 seconds

The seconds hand points at 12

Therefore, the seconds hand of the given time points at 3, 6, 12 and 12 respectively.

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The rate of change of the function given by the table is 1.

The rate of change is the change in the output variable (Y) divided by the change in the input variable (X).  Rate of change is also called slope.

Mathematically:

rate of change = ΔY/ΔX = (y₂-y₁)/(x₂-x₁)

We can use the values in the table to calculate the rate of change of the function by picking any two points from the table. That is:

x₁ = 5, y₁ = 3

x₂ = 6, y₂ = 4

Substituting:

rate of change = (4-3)/(6-5) =

                        = 1/1

                        = 1

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The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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27/50

Step-by-step explanation:

You would have to subtract 50 and 23 to find out how many adult tickets there was

The radius of the cylinder is 3. 95 cm

The formula for calculating the volume of a cylinder is expressed with the equation;

V = πr²h

Such that the parameters are;

From the information given, we have;

Substitute the values

1225 = 3.14× r² × 25

Multiply the values, we get;

1225 = 78.5r²

Divide by the coefficient

r² = 15. 60

Find the square root of both sides

r = 3. 95 cm

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The doubling time or half-life and understanding the properties of  functions, you can graphically represent the behavior of the quantity over time.

To graph an exponential function using the doubling time or half-life, follow these steps:

Understand the exponential function: An exponential function is of the form f(x) = a * bx, where 'a' is the initial value, 'b' is the base, and 'x' is the independent variable.

Doubling time: If you know the doubling time, which is the time it takes for the quantity to double, you can use it to determine the value of 'b'. The formula to calculate 'b' is b = 2(1/doubling time).

Half-life: If you know the half-life, which is the time it takes for the quantity to reduce to half its initial value, you can use it to determine the value of 'b'. The formula to calculate 'b' is b = 0.5^(1/half-life).

Determine the initial value 'a' based on the given information or observation.

Use the values of 'a' and 'b' to create ordered pairs (x, y), where 'x' represents time and 'y' represents the quantity. Choose several values of 'x' to calculate 'y' using the exponential function formula.

Plot the ordered pairs on a graph, with 'x' on the horizontal axis and 'y' on the vertical axis.

Connect the plotted points with a smooth curve to represent the exponential growth or decay. By using the doubling time or half-life and understanding the properties of exponential functions, you can graphically represent the behavior of the quantity over time.

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Answer:

use distance formula

Step-by-step explanation:

enter each set of points into distance formula, find distance then sum all sides

Answer:

A sequence is a list of numbers in a certain order. Each number in a sequence is called a term . Each term in a sequence has a position.

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

\(P(A|B)=\frac{P(A \cap B)}{P(B)}\)

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

\(P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80\)

The surface area of the Earth facing the Sun is approximately 127,400,000 square kilometers.

The surface area of the Earth facing the Sun is a measurement of the total area of the part of the Earth that receives sunlight. It is estimated to be approximately 127,400,000 square kilometers. This area changes as the Earth rotates on its axis and as it moves in its orbit around the Sun.

To arrive at this estimate, we must first understand that the Earth is approximately a sphere with a radius of about 6,371 kilometers. Therefore, the total surface area of the Earth is 4πr² or about 510,072,000 square kilometers.

To calculate the surface area of the Earth facing the Sun, we need to consider that the sunlight falls on only one-half of the Earth at any given time. Therefore, the surface area of the Earth facing the Sun is approximately half of the total surface area of the Earth, or 255,036,000 square kilometers. However, since the Earth is not perfectly flat and has some curvature, the sunlight does not fall evenly on every point. Hence, the actual surface area of the Earth facing the Sun is estimated to be around 127,400,000 square kilometers.

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Hello!

2x - 3 > 11 - 5x

2x + 5x > 11 + 3

7x > 11 + 3

7x > 14

x > 14 : 7

x > 2

x = 4 → the solution

Good luck! :)

The truth value of the given proposition is "false".

The truth value of the given proposition can be evaluated using the following steps:

Convert the binary representation of the numbers to decimal:

0 = 0

~1 = -1 (invert the bits of 1 to get -2 in two's complement representation and add 1)

10 = 2

Apply the comparison operator "=" between the left and right sides of the equation:

(0 = -1) = 2

Evaluate the left side of the equation, which is false, because 0 is not equal to -1.

Evaluate the right side of the equation, which is true, because 2 is a nonzero value.

Apply the comparison operator "=" between the results of step 3 and step 4, which yields:

false = true

Therefore, the truth value of the given proposition is "false".

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The answer is given as follows : The simplified expression for g(z+5) is -5z - 25. To find g(z+5), we substitute (z+5) into the function rule g(z) = -5z.

g(z+5) = -5(z+5). Now, we can simplify the expression by distributing the -5 to both terms inside the parentheses: g(z+5) = -5z - 5(5). Simplifying further: g(z+5) = -5z - 25. Therefore, the simplified expression for g(z+5) is -5z - 25.

In the given function rule g(x+3), there seems to be a typo or a missing part of the equation. If you provide the correct function rule for g(x+3), I can help you further with its simplification.

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Answer:

put the value of x yourself .Then it will be easy for you.

Answer:

y=3x+11

Step-by-step explanation:

hope this helps!!!