True or false: (x−6) is a factor of 4x3−18x2+3x−13.

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

Answer:

beesechurger

Step-by-step explanation:

Answer:

C=550 pounds

Step-by-step explanation:

Given the formula: C=p(t+30)

and with p=2 and t=245 known.

We can plug our values of p and t into our formula. Once we do this, the only unsolved variable will be C.

C=2(245+30)

Add 245+30 first because they are in parentheses and we must abide by the order of operations.

C=2(275)

Now we just multiply 2(275) because this is all that's left in the formula.

C= 2*275 = 550

We now know that C=550 when p=2 and t=245, but we need to apply units to finalize the answer. We are told that C represents the total cost in "POUNDS", so pounds is our units for variable C.

Our final answer is...

C=550 pounds

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]

at x₁ = a,

[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]

at x₂ = a+h,

[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      [tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]

as a+h-a = h, so    

                      [tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

Thus, the everarge rate of chnage:  [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

We can further simplify such as:

[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]

Cancel the common factor h

[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]            

Answer:

42 degrees and 48 degrees

Step-by-step explanation:

If they are complementary, that means they add up to 90 degrees, so

4x + 5x - 18 = 90,

Solving,

9x - 18 = 90

add 18 to both sides

9x = 108

divide both sides by 9

x = 12

Now, to find the angle measures of each you have to substitute x = 12 into both angles.

4x --> 4 * 12 = 48 degrees

5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees

Answer:

3) 21/60= 0.35

4) 5/4= 1.25

5) 9/15= 0.6 or 2/3

6) 378/15= 25.2 or 25 and 1/5

7) 1 1/2/ 2/3= 2.5

8) 28 1/3 / 3 1/3= 8.5

Step-by-step explanation:

hope this helps!

mark me brainliest please!

Answer:

its option A

Step-by-step explanation:

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Answer:

80 gallons and a leaking problem.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.

Answer:

No lol

Step-by-step explanation:

I actually hate maths..

Answer:

The equation for line k is [tex]y = -2x + 6[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

When two lines are perpendicular, the multiplication of their slopes is -1.

The equation for line j can be written as y =1/2x-1

Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:

[tex]\frac{1}{2}m = -1[/tex]

[tex]m = -2[/tex]

So

[tex]y = -2x + b[/tex]

It passes through the point (6,-6).

This means that when [tex]x = 6, y = -6[/tex]. So

[tex]y = -2x + b[/tex]

[tex]-6 = -2(6) + b[/tex]

[tex]b = 6[/tex]

So

[tex]y = -2x + 6[/tex]

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Know more about trigonometry here:

brainly.com/question/26719838

SPJ2

Answer:

45

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

Answer:

FGCG

Step-by-step explanation:

Answer:   72 dollars

Step-by-step explanation:

each=1

1 record cost 9$

8 record costs (9)(8)$

I did multiplication here

(9)(8)=72 $

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/9046022.

#SPJ2

Yes the are simailer because of SSS

Answer:

The greatest number of rows is 10.

To find this you can do 32 plus 28 which equals 60 then you know 60 divided by 10 is 6 so you could have six rows and six columns or 10 rows and six columns and 10 is greater than six.

So, the greatest number of rows you can have is 10.

Answer:

x = -2

Step-by-step explanation:

[tex]3[- x + (2x + 1)] = x - 1[/tex]

[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]

[tex] = > 3[x + 1] = x - 1[/tex]

[tex] = > 3x + 3 = x - 1[/tex]

[tex] = > 3x - x = - 1 - 3[/tex]

[tex] = > 2x = - 4[/tex]

[tex] = > x = \frac{ - 4}{2} = - 2[/tex]

Answer:

a) 4:6= 2:3 or 2/3 or .666666

b) 10:4= 5:2 or 5/2 or 2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Step-by-step explanation:

parallel

8g - 3 = 25

8g = 25 + 3

8g = 28

g = 28/8

g = 14/4

f + 30 + 72 = 180 (straight angle = 180°)

f = 180 - 30 - 72

= 78

Answer:

Part A - 17 full weeks

Part B - 8 hours and 30 minutes

Step-by-step explanation:

Key skills needed: Rate of change, Equation Creating & Solving

PART A

1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00

Since he saves the rest, the amount of money he saves each week is

---> $6.00 - $2.00 = $6 - $2 = $4

2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"

Since the game costs $68 we can make the equation

--> [tex]4w = 68[/tex]

4 is the money he saves each week.

w is the number of weeks he saves

68 is the cost of the game

3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]

(68 divided by 4 is equal to 17)

Therefore 17 full weeks is your answer.

Part B

1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.

30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)

2)  So if we say the number of hours is "[tex]h[/tex]", the equation we can make is

---> [tex]8h = 68[/tex]

8 is the money he makes per hour

h is the number of hours he mows the lawns

68 is the cost of the game he wants to buy for his friend

3) Divide both sides by 8 and you will get

--> [tex]h = 8.5[/tex]

(68 divided by 8 is 8.5 (8 and a half))

This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.

8.5 hours is the same as 8 hours and 30 minutes, which is the answer.

Hope you understand and have a nice day!! :D

Answer:

Answer: It is C

Step-by-step explanation:

Good luck on your test or homework