Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the
following polynomials?
2x^3+12x-3x+54
-2x^2+15
-2x^3+13x^2+3x-54
O 2x^2-3

Answer:

The maximum height of the particle is 484 m.

Step-by-step explanation:

Given that,

A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. This can be represented by the function :

[tex]H(t) = -16t^2 + 144t + 160[/tex] ....(1)

We need to find the maximum height of the particle. For maximum height put [tex]\dfrac{dH}{dt}=0[/tex]

So,

[tex]\dfrac{d(-16t^2+144t+160)}{dt}=0\\\\-32t+144=0\\\\t=4.5\ s[/tex]

Put t = 4.5 s in equation (1) as :

[tex]H(t) = -16(4.5)^2 + 144(4.5)+ 160\\\\H(t)=484\ m[/tex]

So, the maximum height of the particle is 484 m.

Answer:

484 feet

Step-by-step explanation:

First, look at H(t) = −16t^2 + 144t + 160 as ax^2 + bx + c

Second, write out a=, b=, c=, which are a=-16, b=144, c=160

Third, plug a, b, & c into the equation for vertex which is t= -b/(2a) or t=-144/[2*(-16)], t=4.5.

Fourth, plug t=4.5 into the original equation H(t) = −16t^2 + 144t + 160, so H(4.5)=−16((4.5)^2) + 144(4.5) + 160 = -324 + 648 +160 = 484 feet

Answer:

Slope: [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1:  Use slope formula to find the slope

[tex]m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}[/tex]

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is [tex]-\frac{1}{3}[/tex]

Answer:

The first digit would go in the tens place.

Step-by-step explanation:

First we estimate the approximate numbers. For 6130 we estimate 6000 and for 153 we estimate almost 150.

So dividing 6000 by 150 would give 40 .

The four would go in the ten's place .

Now check by dividing

         40.1     So the answer is correct. The quotient is 40.12.

[tex]153\sqrt{6139}[/tex]

      612

           190

           153

             37

The first digit would go in the tens place.

The answer is justified. We can easily decide where to place the first digit.

Step-by-step explanation:

explain how you can decide where to place the first diget in the quotiont for 6,139÷135

Answer:

3.

Step-by-step explanation:

Rearrange to make it easier:  6*x+3*y-(12)=0

Find like factors and eliminate them: 6x + 3y - 12  =   3 x (2x + y - 4)

So then you get 3 = 0. So y would be 3.

11x - 55 - 5a + ax

11 (x - 5) - a ( 5 + x )

Answer:

11 (x - 5) - a ( 5 + x )

Answer:

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

Total ratio = 6

Dividing each length based on ratio

length JK = 2/6 * JM

JK = 1/3 * 24

JK = 8

length KL = 1/6 * JM

KL = 1/6 * 24

KL = 4

length KM = 3/6 * JM

KM = 1/2 * 24

KM = 12

Hence the value of KM is 12

Answer:

slope: 1/2

y-intercept: 4

Answer:

The answer is option C

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find x and y

In order to find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 4

The adjacent is x

Substitute the values into the above formula

That's

We have the answer as

In order to find y we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 4

The hypotenuse is y

So we have

We have the answer as

Hope this helps you

Answer:

17/3  or  5 2/3  or 5.6 repeating

Step-by-step explanation:

z

Answer:

5(5/6)+(-1/6)+2(2/3)+(-2)(2/3)

(35/6)-(1/6)+(8/3)-(8/3)

find the least common multiple which is 3

therefore 70-3+16-16

the answer is 67

Answer:

To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed (light speed)

Step-by-step explanation:

The average speed = (The total distance)/(The total time taken)

The given parameters are;

The required average speed of the autonomous car = 40 km/hr

The average speed of the car during the first 20 km = 40 km/hr

The  average speed of the car during the next 10 km = 20 km/hr

Therefore, we have;

The time taken = Distance/Speed

The time taken by the car during the first 20 km = 20 km/40 km/hr = 0.5 hour

The time taken by the car during the next 10 km = 10 km/20 km/hr = 0.5 hour

Therefore, the amount of time elapsed = 0.5 hour + 0.5 hour = 1 hour

The distance covered = 30 km

Which gives;

To drive the remaining distance of 10 km the car has 0 hour left,

The speed of the remaining 10 km must therefore be 10/0 =  Infinite (speed).

To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed.

Answer:

It will take 19 days from Sunday.

Step-by-step explanation:

You can use the equation 172 + 6d = 1 + 15d for this equation. 172 and 1 are how many items Jose and Biruk started with. 6d and 15d represent how many items they get a day. Here's how you can solve the equation:

172 + 6d = 1 + 15d

       -6d         -6d

        172 = 1 + 9d

           -1   -1

         171 = 9d

          ÷9    ÷9

          19 = d   (write it as d = 19)

(When you type the answer, be sure to always put the letter first.)

Answer:

4

Step-by-step explanation:

The independent variable is the variable used to explain the dependent variable.

The researcher wants to know how the seasons (independent variable) affects ice cream sales (dependent variable).

The researcher would regress ice cream sales against each season. There are four seasons, so the independent variable would be four

Answer:

The profit is 937.50$ The manager subtracted 25% from januarary's profit not march's.

Step-by-step explanation:

1000 times 25% is 1250 - 25% = 937.50

Answer:

Step-by-step explanation:

The profit is 937.50$ The manager subtracted 25% from januarary's profit, not march's.

Step-by-step explanation:

1000 times 25% is 1250 - 25% = 937.50

Step-by-step explanation:

2/3=4/6=6/9

your answer is 4/6,6/9

explanation

(2/3)×2=4/6

therefore 4/6 is a multiple of 2/3

(2/3)×3=6/9

therefore 6/9 is a multiple

if we comprise 4/6 & 6/9 we get 2/3

(b) 6/9 and (c) 4/6 are equivalent to 2/3

The fraction is given as:

[tex]\mathbf{Fraction = \frac 23}[/tex]

The equivalent fractions are 6/9 and 4/6, because they can be reduced to 2/3.

The proof is as follows

[tex]\mathbf{Fraction = \frac 69}[/tex]

Divide the numerator and the denominator by 3

[tex]\mathbf{Fraction = \frac{6/3}{9/3}}[/tex]

[tex]\mathbf{Fraction = \frac{2}{3}}[/tex]

Also, we have:

[tex]\mathbf{Fraction = \frac 46}[/tex]

Divide the numerator and the denominator by 2

[tex]\mathbf{Fraction = \frac 23}[/tex]

Hence, 6/9 and 4/6 are equivalent to 2/3

Read more about equivalent fractions at:

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Answer:

D. 180cubic cm

Step-by-step explanation:

volume=h*w*L

V=6*5*6

v=180

Answer:

The standard deviation of the critical path = 5

Step-by-step explanation:

The formula for the standard deviation of a critical path is given as:

Standard deviation of a path

=√(sum of variances of activities on path)

Variance = (Standard deviation)²

In the above question, we are given:

Standard deviation of 1, 2, 4 and 2 days

Standard deviation of a critical path

=√(sum of variances of activities on path)

= √1² + 2² + 4² + 2²

= √1 + 4 + 16 + 4

= √25

= 5

Answer:

Average Velocity= 70 miles per hour

Step-by-step explanation:

Distance= s

Time = t

s(t)=10t^2

Putting the values

s(2) = 10 (2)^2= 10&4

s= 40

s(5) = 10 (5)^2 = 10*25

S(5)= 250

The average velocity is defined as the rate of change of speed in unit time.

So

Speed= distance/time

Velocity = Speed in a definite direction

Average Velocity= Displacement/ Time

Average Velocity= Change in distance/ Change in time

s(5) - s(2)/ t(5)- t(2)

= 250-40/5-2= 210/3= 70 miles per hour

Answer:

The given equation is -2x^2 = -8x + 8

This can be rewritten as 2x^2 - 8x + 8 = 0

Here the value of a =2, b = -8 and c = 8

Discriminant = b^2 - 4ac

Now plug in the above values in the discriminant, we get

= (-8)^2 - 4*2*8

= 64 - 64

= 0

Here the discriminant is 0, so we will get one real root.

The discriminant is equal to 0, which means the equation has one real number solution.

Hope this will helpful.

Thank you.

Answer:

-5x²+13x+6

Step-by-step explanation:

(x-3)*(2x-7x-2)

(x-3)*(-5x-2)

-5x²-2x+15x+6

-5x²+13x+6

Answer:

-5/4 0 6% 2/5 25% 6

Step-by-step explanation:

converting all to decimal -

.4, .06, 6, -1.25, 0, .25

Ok so we need to turn these all into the same type of number.

I'm going to turn it into decimals.

2/5 = 4/10 = 40/100 = 0.40

6%=0.06

6=6.00

-5/4 = -125/100 = -1.25

0 = 0.0

25% = 0.25

So now we order from least to greatest.

0.4, 0.06, 6, -1.25, 0, 0.25

Since -1.25 is a negative number, it goes first.

All of them except for -1.25 and 0 are positive numbers so 0 goes next.

Now you could ignore the decimal point; 40, 6, 600, 25

From least to greatest it is; 6, 25, 40, 600

So the final order from least to greatest is; -1.25, 0, 0.06, 0.25, 0.4, 6

Or; -5/4, 0, 6%, 25%, 2/5, 6

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

He would need 3.3 gallons

Step-by-step explanation:

1 gallon = 128 ounces

35 * 5 = 420

420 / 128 = 3.28

Answer:

The Break Even point is the point at which the cost=revenue   14,980+20x=30x 14,980=10x 1,498=x   a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960   b. The profit function is P(x)=R(x)-C(x) So P(x)=30x-(14,980+20x) If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.

Hoped I helped

The profit for 90 downloads will be;

⇒ P = $223

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Your revenue for x downloads is given by,

⇒ f(x) = 3x

And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.

Now,

Since, Your revenue for x downloads is given by,

⇒ f(x) = 3x

And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.

Hence, We can formulate;

⇒ P = 90% of f (x) - 20

⇒ P = 90/100 × 3x - 20

⇒ P = 270x/100 - 20

⇒ P = 2.7x - 20

So, The profit for 90 downloads​ will be;

⇒ P = 2.7 × 90 - 20

⇒ P = $223

Thus, The profit for 90 downloads = $223

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Answer:

Brainliest!

Step-by-step explanation:

30+8

=38

16/2 = 8

Answer:

38

Step-by-step explanation:

16/2 = 8

30 + 8 = 38

Answer:

$2,702.82

Step-by-step explanation:

The formula for simple interest is

I = Prt

where

I = interest amount

P = amount invested (the principal)

r = annual rate of interest

t = time in years

11.3% = 0.113 as a decimal

Now we use the formula to find the amount of interest earned.

I = $1,205 * 0.113 * 11

I = $1,497.82

The interest amount is $1,497.82.

Now we add the earned interest to the principal amount.

$1,205 + $1,497.82 = $2,702.82

Question: In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.

Answer:

a= 3

b= 0

The value of a and be will be three and zero respectively.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

We are given the quadratic equation as;

y = x² - 1

From the given table;

At x = -2, y =  (-2)² - 1 = 3

At x = -1, y = 0

At x = 0, y = -1

At x = 1, y = 0

Now, from the values above, we can say that the first graph is the correct one that shows some values for the given equation.

Therefore, values of a and be will be three and zero respectively.

The complete question is given below:-

In the following questions, look at different ways to represent the relation given by the

equation y = x2 - 1.

The table below shows some values for the given equation. Find the values of a and b.

a =

b =

The table is attached with the answer.

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Answer:

No. of balloons left with Tarun is MORE than 10

but LESS than 15.

10 < No. of balloons left with Tarun  <15

Step-by-step explanation:

this is problem of inequality . first we will try to write the existing condition in inequality form then apply other situation as given in the problem.

___________________________________________________

let the no . of balloons with Tarun be x

Given  he has is MORE than 15 balloons

thus, in equality it can be represented as

x > 15

he has LESS than 20 balloons

x < 20

combining both we have

15   < x < 20

now he gives 5 of them to sia

so we have to subtract 5 from inequality

he has left with him x-5 , let x-5 be y

thus,

subtracting 5 from each part of inequality

15  -5 < x-5 < 20 -5

10 < x-5 < 15

10 < y <15

Thus, No. of balloons left with Tarun is MORE than 10

but LESS than 15.

Answer:

Step-by-step explanation:

A). y = |2x - 3| + 1

  Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).

  From the graph,

  Domain : (-∞, ∞)

  Range : [1, ∞)

B). Table of the input-output values of the function,

  y = x² - 2x + 1

  x         -2         -1           0         1          2

  y          9          4           1         0          1

 By graphing the function as attached,

 Domain of the function : (-∞, ∞)

 Range of the function : [0, ∞)

C). x² + y² = 3²

 Domain of the function : [-3, 3]

 Range of the function : [-3, 3]

D). x = 5

 Domain of the line : [5, 5]

 Range of the line : (-∞, ∞)

Answer:

2nd and 4th

Step-by-step explanation:

16.50÷6=2.75

So the second one is true.

12x2.75=33

So the fourth one is true.

Answer:

The first and fourth statements are true.

Step-by-step explanation:

We know that 6 pounds of blueberries costs $16.50 so 1 pound costs 16.5 / 6 = $2.75. Therefore, the first statement is true. The second statement can't be true because this is a direct proportion. In a direct proportion, when one variable increases, the other increases as well so the price of 2.75 pounds can't be less than the price of 1 pound. The cost of 5 pounds is 2.75 * 5 = 13.75 so the third statement is false. The cost of 12 pounds will be 2.75 * 12 = 33 so the fourth statement is true. The cost of 3 pounds is 2.75 * 3 = 8.25 so the fifth statement is false.

Answer:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Step-by-step explanation:

Given that the function is:

[tex]y=f(x)=-x^2+25[/tex]

It is quadratic equation, therefore we can observe that it is a parabola.

The coefficient of [tex]x^{2}[/tex] is negative, therefore it opens downwards.

That means it will have a maximum value.

This maximum value is at the vertex and where x = 0.

Also, vertex is at x intercept.

x intercept is the value of x where we have y = 0 and

y intercept is the value of y where we have x = 0

So, let us put y = 0 first.

[tex]0=-x^2+25\\ \Rightarrow x^{2} =25\\\Rightarrow x =5, -5[/tex]

Therefore x intercepts are at (5, 0) and (-5, 0)

Now, let us put x = 0,

[tex]y=0+25\\\Rightarrow y =25[/tex]

Therefore y intercept is at (0, 25).

It is the point of maximum value (which is 25) and vertex of parabola as explained above.

Kindly refer to the attached image for the graph of given function.

Therefore, correct option is:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Answer:

Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3

Step-by-step explanation: