Which expression is equivalent to 24x2 - 22x + 5?​

 Which Expression Is Equivalent To 24x2 - 22x + 5?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given

24x² - 22x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 5 = 120 and sum = - 22

The factors are - 12 and - 10

Use these factors to split the x- term

24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )

= 12x(2x - 1) + 5(2x - 1)  ← factor out (2x - 1) from each term

= (12x - 5)(2x - 1) ← in factored form → C


Related Questions

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction
The number b varies directly with the number a. For example b= 2 when a = -2
-2. Which equation represents this
direct variation between a and b?
Obra
O b = a
Ob-a= 0
Ob(-a) = 0

Answers

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

Please answer quickly, simple geometry

Answers

OPTION C IS THE CORRECT ANSWER.

Using the graph, determine the coordinates of the vertex of the parabola.

Answers

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

What type of transformation does shape A undergo to form shape B?

Answers

the answer is a 90° clockwise rotation

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27

Answers

A) Tn= a+(n-1)d = 4 + (n-1)(-3) = 4 -3n + 3 = 7-3n

B) Tn = a+(n-1)d = -7 + (n-1)(-5) = -7 -5n + 5 = -2 -5n

[a is the first term, d is the common difference]

ASAP!!!!!! Factor the trinomial x^2 + 7x + 12

Answers

= (x + 3)(x +4) or (x + 4)(x +3)
(X+3)(x+4)
Is the answer

PLEASEEE I nEEED THE ANSWER TnT
NOTE: pls ignore another language just read the english one... ASAP​

Answers

Answer:

x     -1      1    3

y      -2    -4   2

Step-by-step explanation:

y=x^2-x-4

when x=-1

y=(-1)^2-(-1)-4

y=1+1-4

y=-2

when x=1

y=(1)^2-(1)-4

y=1-1-4

y=-4

when x=3

y=(3)2-(3)-4

y=9-3-4

y=9-7

y=2

0.16 which number is in the hundreds place​

Answers

The 6 is in the 100ths place

Answer:

A decimal is always placed in this order :

thousands, hundreds, tens, separator, tenths, hundredths, thousandths.

In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.

MATH HELP PLEASE DUE SOON

Answers

Answer:

a. Alternate exterior angles.

b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.

c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.

-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, please!

Answers

Answer:

x=12 .  x=-12

Step-by-step explanation:

ONce you do the quadratic equasion than you move on to the solving part and from ther it is easy

I kinda need help

What is the fraction 1/4 in decimal form?


I need help with this one to

Solve 3^3

Answers

Answer: easy

Step-by-step explanation: 0.25 there

how to prove sinA+sin2A/1+cosA+cos2A=tanA​

Answers

Answer:

my answer is in this picture. sorry about my handwriting.

Hope you will understand : )

which of the following is the result of the equation below after completing the square and factoring x^2+3x+8=6​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 + 3x + 8 = 6}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}[/tex]

[tex]\mathsf{8 - 6 = \boxed{\bf 2}}[/tex]

[tex]\mathsf{6 - 6 = \boxed{\bf 0}}[/tex]

[tex]\mathsf{x^2 + 3x + 2 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}[/tex]

[tex]\mathsf{(x + 1)(x + 2) = 0}[/tex]

[tex]\large\textsf{SET EACH FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}[/tex]

[tex]\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

(a) A Ship sails due north from point P to a point 0.4 km away. It then sails on a bearing
of 090° to a point R, 3 km from Q.
(1) Illustrate the information in a diagram.
Find the length PR​

Answers

Answer:

write these time in words 3:45

A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes, and the distance travelled, in kilometres. The fixed cost of a ride is $2.55 Judy's ride costs $16.75 and took eight minutes. The distance travelled was 10 km. Pat's ride cost $30.35 and took 20 minutes. The distance travelled was 18 km. Roy's ride took 10 minutes. The distance travelled was 15 km. Find the cost of Roy's ride.

Answers

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

Which expression is equivalent to f+f+8ff+f+8f?

Answers

Answer:

8f² + 11f

Step-by-step explanation:

there are no expressions listed

This is the expression simplified

8f² + 11f

Convert r=5/3sinθ−cosθ to rectangular form.


Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.

Answers

Answer:

y = 1/3 x + 5/3

Step-by-step explanation:

For rectangular to polar

x = rcosθ ... 1

y = rsinθ ... 2

Given the expression

r=5/3sinθ−cosθ

Cross multiply

r(3sinθ−cosθ) = 5

Expand

3rsinθ−rcosθ = 5 ..3

Substitute 1 and 2 into 3

3y - x = 5

Write in slope intercept form

3y = x + 5

Divide through by 3;

3y/3 = x/3 + 5/3

y = x/3 + 5/3

y = 1/3 x + 5/3

Hence the expression in slope-intercept form is y = 1/3 x + 5/3

The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?

Answers

Answer:

It b

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

I did the test

I don't get how to do this.

Answers

Answer:

426 chickens

Step-by-step explanation:

let the pigs = x

the ducks = 2×x = 2x

the chickens = 3×(2x) = 6x

x +2x +6x = 639

9x=639

x = 639/9 = 71

the chickens = 6x = 6×71 = 426

Answer:

[tex]426\:\mathrm{chickens}[/tex]

Step-by-step explanation:

Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:

[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.

Substituting, we get:

[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]

Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:

[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]

Natalie and Warren started swimming laps in the pool at 5:47. Natalie finished swimming her laps 27 minutes later. Warren finished swimming his laps 8 minutes after Natalie. What time did Warren finish his laps?

Answers

Answer:

6:22

Step-by-step explanation:

original time minutes when they both started - 47

47+ natalie's time

47+27 =74

minus 60 minutes to account for the hour (6 o'clock)

74-60=14

natalie finished at 6:14

warren finished 8 minutes after natalie's time

14+8=22

the hour did not finish so it will remain at 6

which leaves your final answer for the time that warren finished as 6:22

what is f(0) for the function f(x) =2x+3

Answers

Answer:

3

Step-by-step explanation:

f(x) =2x+3

Let x=0

f(0) =2*0+3

Multiply

f(0) =0+3

Add

f(0) =3

Answer:

3

step-by-step explanation

f ( x ) = 2 x + 3

f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )

multiply

f ( 0 ) = 0 + 3

Add the numbers

f ( 0 ) = 3

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

Answers

Answer:

$600.00

Step-by-step explanation:

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

We solve using Compound Interest formula which is given as:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 per year,

Then, solve the equation for P

P = I / ((1 + r/n)^nt - 1)

P = 30 / ((1 + 0.05/1)^(1×1) - 1)

P = 30 / ((1 + 0.05)^(1) - 1)

P = $600.00

Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?

Which of the following equations could be used to solve the problem?
n+4n=2.10
n+4n=210
5n+100n=2.10
5n+100n=210​

Answers

Answer:

the answer is the third option

Step-by-step explanation:

there are 3 method to show that 40 is the sum of two prime. among all the prime , find the difference between the two largest prime

Answers

Answer:

the difference is 39? for the answer

Step-by-step explanation:

The question is not exactly worded in such a way that one can tell how it should be answered.

If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are

17 + 23

37 + 3

11+ 29

So the difference between 37 and 29 = 8

There are no guarantees about this answer. I'm just doing it the way the question reads.

Name three deficiency diseases associated with diet and state their causes

Answers

Answer:

Iron deficiency, hypoglycemia, and scurvy.

Step-by-step explanation:

Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.

Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia.  People would have to consume more glucose or take insulin shots to get the amount back to normal.

Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.

I have five numbers, the mean is 6, and the mode is 7 what could these numbers be?

Answers

Answer:

3, 5, 7, 7, 8

Step-by-step explanation:

3, 5, 7, 7, 8

the mean = (3+5+7+7+8)/5 = 30/5= 6

the mode = 7

Help ASAP please!!!!!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

pls help my computers about to die lol ​

Answers

Answer:

Elapsed 10 hours and 50 minutes

Step-by-step explanation:

So it's 5:25 pm to 4:15 am.  

It goes by 50 mins to get from 5:25 to 6:15.

Now the hours.

It has passed 10 hours to get 6:15 pm to 4;15 am.

Help please I’ll give you the brainliest I really got to get this done

Answers

Answer:

56

Step-by-step explanation:

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