an inattentive driver is traveling 16.0 m/s m / s when he notices a red light ahead. his car is capable of decelerating at a rate of 3.06 m/s2 m / s 2 .

Answer:

x + (4/ x-2) + (2/ x-1)

Step-by-step explanation:

x + (6x/ x^2 + 2x - x -2)

x + (6x/ (x + 2) X (x - 1))

(6x/ (x + 2) X (x - 1))

(A/ x+2) + (B/ x-1)

(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)

6x = Ax + Bx - A + 2B

6x = (A+B)x + (-A+2b)

{0 = -A+2B

{6 = A+B

(A,B) = (4, 2)

(4/ x+2) + (2/ x-1)

x + (4/ x-2) + (2/ x-1)

Answer:

yo soy de

Step-by-step explanation:

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

m = -5/4

Step-by-step explanation:

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

the area of the curve y= f(x) = x between x = 5 and x = 10

\(A=\frac{75}{2}\)

Step-by-step explanation:

Using the Area formula

\(A=\int _a^b\:f\left(x\right)dx\)

As the area of curve lies between x = 5 and x = 10

so

so the integral expression becomes

\(A=\int _5^{10}xdx\)

\(\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1\)

\(A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5\)

    \(=\left[\frac{x^2}{2}\right]^{10}_5\)

     \(=\frac{1}{2}\left[10^2-5^2\right]\)

     \(=\frac{1}{2}\cdot \:75\)

     \(=\frac{75}{2}\)

Therefore, area of the curve y= f(x) = x between x = 5 and x = 10

\(A=\frac{75}{2}\)

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$45\\ P=\textit{original amount deposited}\dotfill & \$570\\ r=rate\to r\%\to \frac{r}{100}\\ t=months\dotfill &9 \end{cases} \\\\\\ 45 = (570)(\frac{r}{100})(9)\implies \cfrac{45}{(570)(9)}=\cfrac{r}{100}\implies \cfrac{1}{114}=\cfrac{r}{100} \\\\\\ \cfrac{100}{114}=r\implies \stackrel{\%}{0.88}\approx r\)

D 231 = 46w can be used to solve for w, the number of white eggs used last week.

The solution is: 2 real world situation that could be modeled by a quadratic function are given below:

Here, we have,

1. Consider two trees which are 5 m apart. Suppose one tree is located at a distance of 45 m from my house and another tree is located 50 m from my house. Represent , distance of two trees from my house in terms of Quadratic function.

Solution:

Let location of my house when map of planet earth is drawn or on  globe=x

⇒(x-45)(x-50)=0

⇒ x² - 45 x - 50 x +45 × 50 =0

⇒ x² - 95 x + 2250=0

2. Suppose age of me and my brother is 6 and 10 years. The Product of  difference between age of me and my mother who is x years old and my brother and mother is 780.Find my mother's age.

Solution:  Age of my mother = x years

→(x-6) × (x-10)= 780,

if you will solve it , the value of x= 36 years.

To learn more on function click:

brainly.com/question/21145944

#SPJ1

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

...

SOLUTION

Given the figure below;

The radius of the inscribed circle is DE;

The radius of the circumscribed circle is CD;

Answer:

blah blah blah blah blah blah blah blah blah

There are 4 bags left after completing one step

The number of bags left after completing one step can be calculated as follows

The amount of trail mix into the bags is 2 1/4

= 9/4

The total amount of trail mix in the bag is 2/3

The first step is to calculate the number of bags

= 9/4 ÷ 3/8

= 9/4 × 8/3

= 36/12

= 6

There are 2/3 bags of trail

= 2/3 × 6

= 4

Hence 4 bags of trail mix are left after completing one step

Read more on bags here

https://brainly.com/question/11167699

#SPJ1

Answer: A sudden debt pay off

Step-by-step explanation:

A loan in this context is a specific amount of money that is borrowed to be paid back with interest. The lender is usually an individual, financial organizations or the government.

The lender and the borrower both share the terms of agreement which includes interest rates, date of payments and other stipulated conditions.

When a borrower pays a loan quickly, it is known as Sudden Debt Payoff.

This is because the borrower pays back before the date that both parties agreed on.

height =50

base=40

area of triangle =1/2b*h

1/2*40*50

1000

Answer: 924 / 6 = 154

Step-by-step explanation: Yes, you are correct 924 / 6 =154

Answer:

Step-by-step explanation:

There is no table but I will do the equations

45000+2000t

let "t" represent the number of years

45000*1.04t

let "t" represent the number of years

The amount saved by repaying the loan early is $831.25

The amount of discount received by purchasing supplies is $3,500

The net amount saved by purchasing supplies rather than repaying loan is $2,668.75

What is ordinary interest?

Ordinary interest is the interest computation that is based on 360-day a  year count rather than 365-day year count, hence, in determining the amount saved by paying $35,000 out of the amount due to Citizens Bank, we time-apportion the interest for 90 days with respect to 360 days not 365 days.

Amount saved in interest=$35,000*9.5%*90/360

Amount saved in interest=$831.25

Using the $35,000 to purchase serving supplies, 10% discount is given off the normal cost of $35,000

Amount saved with discount=10%*$35,000

Amount saved with discount=$3,500

The difference between discount on supplies and interest saved=$3,500-$831.25

The difference between discount on supplies and interest saved=$2,668.75

The other factors to consider before making the final decisions include, the fact the loan is more important than the supplies because the loan relates to the firm's financing rather than operational needs of supplies

Secondly, the amount saved in interest may be more if another loan of $35,000 can be borrowed elsewhere with significant lower interest rates

Find out more about interest savings on:brainly.com/question/21407747

#SPJ1

Answer:

20)12

Step-by-step explanation:

Answer:

x < -8/5

Step-by-step explanation:

-9 - 5x > -1

-5x > 8

x < -8/5

Answer:

93 million

Step-by-step explanation:

93 Million

Answer:

.

Step-by-step explanation:

The populations that experienced more births than deaths over the five years is the population with a green curve.

When a population experiences more births than death, it leads ot a population explosion and rapid population growth.

As shown in the graph, the population of the in green has higher numbers / year than those in the red.

Thus, it is correct to state that by looking at the graph, the populations that experienced more births than deaths over the five years is the population with a green curve.

Learn more about population:
https://brainly.com/question/25630111

#SPJ1

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

For more questions on Value.

https://brainly.com/question/843074

#SPJ8

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.

To determine the slope of the line tangent to the graph of the given function when x = -6;

Using alternative form of the definition of derivative.

f'(a) = lim (h->0) [f(a+h) - f(a)] / h

Using this formula for the given function;

h'(a) = lim (h->0) [h(a+h) - h(a)] / h

Now, substitute a = -6 into the formula:

h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h

Next, simplify the expression by plugging in the values:

h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h

Simplifying further:

h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h

Now, let's combine the fractions with a common denominator:

h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h

Simplifying the numerator:

h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h

Canceling out the h's:

h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]

Taking the limit as h approaches 0:

h'(-6) = -1 / ((-6)(-6))

Simplifying further:

h'(-6) = -1 / 36

Learn more on slope of line tangent here;

https://brainly.com/question/6353432

#SPJ1