the polynomial function f(x) =-x^3 +x^2+14x-24

Answer:

Step-by-step explanation:

Use a couple of ordered pairs on the graph and get the equation of the line:

The y-intercept is 2 and the slope is 10 - 2 = 8

The line is

Solve the system of equations by substitution to find the intersection

They will work 4 hours to get same amount of saving

Answer:

4 hours

Step-by-step explanation:

First, create a linear equation for Carlos using the graph.

Two points on the line:  (0, 2) and (1, 10)

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{10-2}{1-0}=8[/tex]

Use the point-slope equation with the found slope and one of the points:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-2=8(x-0)[/tex]

[tex]\implies y=8x+2[/tex]

Now equate the equations for Mary Ann and Carlos, and solve for x:

[tex]\implies 6x+10=8x+2[/tex]

[tex]\implies 8=2x[/tex]

[tex]\implies x=4[/tex]

Therefore, Mary Ann and Carlos have saved the same amount after 4 hours work.

Step-by-step explanation:

the upper (smaller) triangle and the complete triangle are similar.

that means the angles in both triangles are the same. and the lengths of all corresponding pairs of sides correlate with the same scaling factor.

therefore,

(8x - 10) / (8x - 10 + 18) = 25 / (25 + 15)

(8x - 10) / (8x + 8) = 25 / 40 = 5/8

8(8x - 10) = 5(8x + 8)

64x - 80 = 40x + 40

24x = 120

x = 5

Answer:

160

Step-by-step explanation:

P(advance math | 7th grader) = 14/35 (sample size 35)

Estimated advance math 7th grader in school = 400 * 14/35

= 160

Answer: 160 people can be expected to be in advanced math

Step-by-step explanation:

14 ÷ 35 = 0.4

⇒ what is 40% of 400?

⇒ 0.4 × 400

⇒ 160 people

Answer:

  P(X > 8) = 5/18

  P(X mod 5 ≠ 0) = 29/36

Step-by-step explanation:

You want various probabilities related to the sum of two dice.

Please refer to the attached chart of possible outcomes. There are 4 ways to roll a 9, 3 ways to roll a 10, 2 ways to roll 11, and one way to roll 12. That means there are 4+3+2+1 = 10 ways to roll a number greater than 8.

 P(X > 8) = 10/36 = 5/18

It is easier to count results that are divisible by 5. Then the difference between that number and 36 will be the number of outcomes not divisible by 5.

5 can be rolled 4 ways, and 10 can be rolled 3 ways. A total of 4+3 = 7 of the 36 outcomes are divisible by 5. That means 36 -7 = 29 are not divisible by 5.

  P(X not divisible by 5) = 29/36

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Answer:

linear

Step-by-step explanation:

Answer:

bec97 is right it is linear

Step-by-step explanation:

y = 10 + 2x

Have a nice day! :)

Answer:

1134

Step-by-step explanation:

Formula for diameter=2 x r

(π is 3.14)

Formula for area= π x r^2

So all you basically have to do is go backwords with the first one then plug the radius into the second one normally

38/2=19

Now just plug it into your second equation

π x 19^2=1134.11494795

And lastly round that to 1134, easy! :)

Functions can be represented using equations and graphs Both f(x) and g(x) include domain values of [4, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.

The functions are given as:

[tex]F(x)=e^{-x}\\\\\\g(x)=-\sqrt{x-4}[/tex]

Using a graphing calculator:

The domain of g(x) is [4, ∞)

The range of g(x) is  [0, ∞)

The domain of f(x) is  (–∞, ∞),

The range of f(x) is  [0, ∞)

Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option 3

Read more about function domain and range at:

brainly.com/question/10197594

#SPJ1

Answer:

Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

Step-by-step explanation:

I got it right on the test.

B. X is less than or equal to -4

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

[tex]\rm 5 \sin \theta = 4\\\\\theta = 0.927 , 2.214[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\[/tex]

[tex]\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\[/tex]

On solving, we have

[tex]\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75[/tex]

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

https://brainly.com/question/24563834

#SPJ4

Answer:

The answer is 258

Step-by-step explanation:

10+15+20+25+1221= 1291

1291 divided by 5 equals 258 with a remainder of 1

Answer:

Z = 1.25

Step-by-step explanation:

[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\Z=\frac{87-82}{4}\\ \\Z=\frac{5}{4}\\ \\Z=1.25[/tex]

Hence, Michael's z-score is 1.25, which means that he scored 1.25 standard deviations above the class average.

Answer:

6

Step-by-step explanation:

1 /4 x^2 = 9     (Given)         Multiply both sides of the equation by 4

x^2 = 36               sq rt both sides

x = 6

Answer:

I believe one is the answer your looking for

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

» Concepts

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» Application

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» Solving

Step 1: Subtract q from both sides.

Step 2: Add 8 to both sides.

Step 3: Divide both sides by 3.

Step 4: Plug in the value of q for side AB.

Therefore, the answer is 8 units.

Answer:

scale factor of 1/3 from the big rectangle to the small rectangle

Step-by-step explanation:

Hope this helps! Please mark me as brainliest:)

Answer:

view explanation, please

Step-by-step explanation:

If the variable is the same and you are multiplying: add the exponents.

[tex]Z^8 * Z^6 = Z^8+^6[/tex]

8+6=14

If the variable is the same and you are dividing: subtract the exponents.

[tex]Z^1^4-^8=Z^6[/tex]

Answer:

The answer is Z⁶

Step-by-step explanation:

Cancel the common factor, Z⁸

Answer:

centre : (4;-5)

radius : 2

Answer:

I think option C is correct or it can be. B OPTION

As if we join B to C it will form a diagonal BC which will cut the shape into two right angled triangle

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

D

Step-by-step explanation:

A  no   = 1/5

B no   = 4

C  no   = 1/3

D   yes

E     no = 17/50

26/104

the correct option is 26/104 because if 26 divides 26/104 it will give 1/4 because

26÷26= 1

104÷26=4

therefore, the correct option is 26/104

Answer:

x = 2 ; y = 12

Step-by-step explanation:

2x + 3y = 40

+ -2x +2y = 20

You solve for one of the variables by cancelling out one and making one the subject.

2x + 3y = 40.

+ -2x +2y = 20

5y = 60

5y/5 = 60/5

y = 12

Next, you solve for X by replacing the value of y in any of the equations.

2x + 3y = 40

2x + 3(12) = 40

2x + 36 = 40

2x = 40 - 36

2x = 4

2x/2 = 4/2

x = 2

To prove the equations are set, replace the values of X and Y in one of the equations.

2x + 3y = 40

2(2) + 3(12) = 40

4 + 36 = 40

40 = 40

Explanation:

The x coordinates of points A and B are 2 and -2 respectively. Add them up and divide by 2 and we would get (A+B)/2 = (2+(-2))/2 = 0/2 = 0.

The x coordinate of the midpoint is 0.

The y coordinate of the midpoint follows the same idea, but we focus on the y coordinates of course. You should find the y coordinate of the midpoint is 0.

The midpoint is at (0,0) as the diagram shows.

Answer:

The original price

Step-by-step explanation:

I got it right

Answer:

(10,6)

Step-by-step explanation:

of you start at (8,6) X is left and right and Y is up and  down so yoy move left 6 unites meaning your now at (2,6) then you move right so you go back again and now you have (10,6) Hope this helps

Answer:

3+5(n-1)

Step-by-step explanation:

first term (a)=3

common difference (d)=5

they an=a+(n-1)d

=>3+(n-1)5

=>3+5(n-1)

Answer:

if u are talking about completing the table then that's easy