For a function f(x), you know that f(3) = -8 and f(4) = 3. One zero of f(x) would be located between x= and x=

We plug the value given to see tif the equation holds:

Since the equation holds then, 3 IS the solution.

Answer:

The speed of the boat is 9 miles/hour and the speed of the current is 3 miles/hour

Explanation:

Let's call x the speed of the boat and y the speed of the current.

The distance traveled is equal to the speed times the time, so the boat traveled 36 miles in three hours and we can write the following equation

(x + y)3 = 36

3(x + y) = 36

because when the boat traveled downstream, the total speed is the sum of x and y.

On the other hand, the boat traveled 30 miles upstream in 5 hours, so

(x - y)5 = 30

5(x - y) = 30

Therefore, the system of equations is

3(x + y) = 36

5(x - y) = 30

Solving the first equation for x, we get

Now, we can replace this expression on the second equation as follows

Then, the value of x is

x = 12 - y

x = 12 - 3

x = 9

So, the speed of the boat is 9 miles/hour and the speed of the current is 3 miles/hour

Put y = -4 into the expression below:

Hence,

Therefore, the value of the expression when y = -4 is 46

34. The equation is given as

Solving the equation by expanding and simplifying.

Use the identity,

Hence the answer is

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m = slope

c = y intercept

Considering the given line,

m = - 3 and c = - 1

By substituting these values into the slope intercept equation, the equation of the line is

y = - 3x - 1

We would substitute values of x into the equation and solve for corresponding values of y. It is shown below

For x = - 2, y = - 3 * - 2 - 1 = 6 - 1 = 5

For x = - 1, y = - 3 * - 1 - 1 = 3 - 1 = 2

For x = 0, y = - 3 * 0 - 1 = 0 - 1 = - 1

For x = 1, y = - 3 * 1 - 1 = - 3 - 1 = - 4

For x = 2, y = - 3 * 2 - 1 = - 6 - 1 = - 7

We would plot the corresponding x and y values on the horizontal and vertical axes of the graph respectively. The graph is shown below

Given in the question:

a.) Random guesses are made for six multiple-choice questions.

b.) There are five choices for each question.

c.) There are n equals six trials each with the probability of success (correct) given by P equals 0.20.

We will be using the Binomial Probability Formula:

Where,

n = Number of trials = 6

P = Probability of success = 0.20

X = Correct answers

Let's evaluate the definition of binomial probability at k = 0 since we are tasked to find the probability of no correct answers.

Therefore, the probability of no correct answers is 0.262 or 26.20%.

To calculate which is the best deal we must standardize all prices and compare them.

To do this we will divide the value by the number of ounces they have and thus choose the best one.

1.

2.

3.

4.

The price list by ounces would be as follows.

0.165

0.071

0.083

0.076

Best deal is number 2 0.071

Step-by-step explanation:

y=2x-20 is the right answer mark brainliest

Answer:

[tex]\sf Y=2X-20[/tex]

Step-by-step explanation:

Given linear equation:

[tex]\sf X=\dfrac{1}{2}(20+Y)[/tex]

To express Y in terms of X, rearrange the equation to isolate Y.

Apply the distributive property of multiplication over addition:

[tex]\implies \sf X=\dfrac{1}{2} \cdot 20+\dfrac{1}{2} \cdot Y[/tex]

[tex]\implies \sf X=\dfrac{20}{2}+\dfrac{Y}{2}[/tex]

[tex]\implies \sf X=10+\dfrac{Y}{2}[/tex]

Subtract 10 from both sides of the equation:

[tex]\implies \sf X-10=10+\dfrac{Y}{2}-10[/tex]

[tex]\implies \sf X-10=\dfrac{Y}{2}[/tex]

Multiply both sides of the equation by 2:

[tex]\implies \sf 2(X-10)=2 \cdot \dfrac{Y}{2}[/tex]

[tex]\implies \sf 2(X-10)=Y[/tex]

[tex]\implies \sf Y=2(X-10)[/tex]

Apply the distributive property of multiplication over subtraction:

[tex]\implies \sf Y=2\cdot X- 2\cdot 10[/tex]

[tex]\implies \sf Y=2X- 20[/tex]

Answer:

Explanation:

The angles 4 and 8 are equal; therefore,

Subtracting x from both sides gives

Subtracting 20 from both sides gives

Finally, dividing both sides by 2 gives

With the value of x in hand, we now find the measure of angle 8.

Hence, the measure of angle 8 is 110.

Answer:Hay 500 calorías en una Big Burger.

Step-by-step explanation:

En una semana (7 días), Mark come 7 sándwiches de huevo, que son 1750 calorías. Reste la cantidad total de calorías que consumió por la cantidad de calorías consumidas a través de sándwiches de huevo; 5250-1750=3500. 3500 es el número total de calorías que Mark consumió al comer una Big Burger todos los días durante 7 días. Divide 3500 entre 7 = 500. Hay 500 calorías en una Big Burger.

Answer:

$6370

Explanation:

The simple interest formula gives us the final amount A given the principal amount P:

where r is the interest rate and t is the time interval.

Now in our case we have

P = 2800

r = 4.25/100

t = 30 years

therefore, the above formula gives

which simplifies to give

Hence, the account balance after 30 years will be $6370.

We will have the following:

a) His parents spent:

So they spent $19.94.

b) They will spent the following in rental:

So, the hourly rate $18.75.

c) We will determine the amount spent:

So, it would be $18.04.

We are asked to write the quotient : 1/10,000,000,000,000 in a notation with powers of ten. This is called "scientific notation".

when we perform the division of 1 by that enormous number, we get:

0.0000000000001

This can be represented by a 10 to a negative exponent. Notice that we have 13 zeros in the denominator (which implies that we have to divide 13 times by ten)

so we can write the answer as: 1 * 10^(-13)

which with the appropriate equation editor becomes:

the base 10 with exponent -13 (negative 13)

1 hour = $7

Number of hours = Amount/7

Therefore, 259/7 = 37 hours

Solution: Sue worked for 37 hours last week.

Given data:

The given table is shown.

The expression for the probability of that a randomly selected injured skater was not age 12 and was not wearing roller skates is,

To obtain the value of y, we need to obtain the value of x first

Step 1: Finding x

(13x - 27) and (10x + 6) are equal (Alternate exterior angles)

so we can equate both angles

13x - 27 = 10x + 6

13x - 10x = 27 + 6

3x = 33

Divide both sides by 3

x = 33/ 3

x = 11

Step 2: Finding y

(9y + 19) and (10x + 6) are supplementary, hence they add up to 180

9y + 19 + 10x + 6 = 180

9y + 10x + 19 + 6 = 180

9y + 10x + 25 = 180

9y + 10x = 180 - 25

9y + 10x = 155

9y = 155 - 10x

substitute the value of x = 11 from step 1 into the equation

9y = 155 - 10 x 11

9y = 155 - 110

9y = 45

divide both sides by 9

y = 45/9

y = 5

To find the rate of change;

Rate of change = change in y / change in x

= 10-0/ 2-0

=10/2

=5/1

=5

This means that the increase in w

Let's begin by listing out the information given to us:

1st term = 359, 2nd term = 352, 3rd term = 345

This is an Arithmetic Progression (A.P.)

the answer for 6 5/6                                                

6.83

HJ=25

JK=25

HK=50

Explanation

Step 1

J is the midpoint, it means

Step 2

replace andsolve for x

Step 3

finally replace the valure of X to find HJ and JK

I hope this helps you

With the help of conversion units, we know that 56 inches of ribbon was used in the curtains.

So, inches of ribbon Ansi used in curtains:

1 yard = 36 inches

Now,

Now, 2.5 yards in inches:

Now, 1 foot = 12 inches.

Inches of ribbon used:

Therefore, with the help of conversion units, we know that 56 inches of ribbon was used in the curtains.

Know more about conversion units here:

https://brainly.com/question/97386

#SPJ1

For this case we can set uo an equation given by:

Where y represent the final cost. x the number of Gig used and for this case we can set up the following equation:

And solving for x we got:

And the final answer for this case woudl be 4 Gig of data used

SOLUTION:

Case: Probability

Method:

To select socks that are not black without replacement,

Since there are a total of 6 pairs that are not black (NB)

Final answer:

5/26

Step 1

Given;

Step 2

Answer:

Given data:

The length of the first commercial break is,

The length of the second commercial break is,

The expression for the diffrence compared to the first channel is,

The Trapezoidal rule formula is given to be:

The question gives:

Therefore, divide the interval into n = 3 subintervals of length 1/3 with the following endpoints:

Evaluate the function at the endpoints:

Sum up the calculated values and multiply by Δx/2:

Therefore, the answer will be:

Using the formula:

We get:

162°C is equal to 323.6 F

Answer:

Table 3

Explanation:

A linear function has a constant slope.

To determine if the table represents a linear function, find the slope for two different pairs of points.

Table 1

Using the points (1,-2), (2,-6)

Using the points (2,-6), (3,-2)

The slopes are not the same, thus, the function is not linear.

Table 3

Using the points (1,-2), (2,-10)

Using the points (2,-10), (3,-18)

The slopes are the same, thus, the function is linear.

Table 3 is the correct option.