Factor the trinomial below.
x² + 5x – 24
O A. (x-8)(x+3)
O B. (x-3)(x+8)
O C. (x - 4)(x+6)
O D. (x-6)(x+4)

Answers

Answer 1

Answer:

B.(x-3)(x+8)

Step-by-step explanation:

product of -3 and 8 is -24 and sum of -3+8 is +5

Answer 2

Answer:

(x+8) (x-3)

Step-by-step explanation:

x² + 5x – 24

What 2 numbers multiply to -24 and add to 5

8*-3 = -24

8+-3 = 5

(x+8) (x-3)


Related Questions

The formula for the area of a triangle is, 1 А A= bh Calculate the height of a triangle when A= 24 m2 and b = 8 m.​

Answers

I hope this helps you

A=1/2.b.h

given Area is 24 and base is 8

24=1/2.8.h

24=4.h (divide 4 both of sides)

h=6 (height)

Find the slope of the line containing the points (-5,-4) and (-3,-6)

Answers

Use the slope formula y2 - y1/x2 - x1
-6 - (-4)/-3 - (-5)
You get -2/2, which is -1.

Hailey divided 92 ÷ 5. Her work is shown below.


92 divided by 5. 5 goes into 9 1 time. 9 minus 5 = 4. 5 goes into 42 8 times. 42 minus 40 = 2. The answer is 18 R 2. There are 5 groups of 1 ten plus 8 ones.
Which statements are true about Hailey’s work? Check all that apply.

Hailey found the correct quotient.
The “1” in the quotient represents the number of tens in each of the 5 groups.
Hailey placed the dividend and divisor in the wrong places in the problem.
The “R2” represents the number of ones in each of the 5 groups.
Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.

Answers

Answer:

The “1” in the quotient represents the number of tens in each of the 5 groups.

Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.

Step-by-step explanation:

Given:

92÷5

Hailey's workings:

92 divided by 5.

5 goes into 9 1 time.

9 minus 5 = 4.

5 goes into 42 8 times.

42 minus 40 = 2.

The answer is 18 R 2.

The true statements about Hailey's work are:

The “1” in the quotient represents the number of tens in each of the 5 groups.

Since only 5 tens could be divided evenly among the groups, Hailey subtracted 5 from 9 to find out how many tens were left over.

Michael, Nate, Ben, and Andrew are running a relay race. In order to complete the race, they must run exactly 4 laps. Since Michael is the fastest of the four, he runs 1 1/3 laps. Nate then runs 1/2 lap, followed by Ben running 3/4 lap. How many laps must Andrew run to complete the race? Express your answer as a mixed number.

Answers

Answer:

Andrew must run 1 5/12 Laps to complete the race.

Step-by-step explanation:

Total lap run by Michael, Nate, Ben, and Andrew = 4 laps

laps run by Michael = 1 1/3 laps =(3+1)/3 =  4/3 laps

laps run by Nate =1/2 laps

laps run by ben =3/4 laps

Let laps run by Andrew = x

therefore

laps run by Michael + laps run by Nate + laps run by ben + laps run by Andrew = 4 laps

4/3 + 1/2 + 3/4 + x = 4

LCM of 3,2 and 4 is 12

=> (4*4 + 6*1 + 3*3+12x)/12 = 4

=> (16+6+9+12x)/12 = 4

=> 31+12x = 12*4 = 48

=> 12x = 48-31= 17

=> x = 17/12 = 1 5/12

Thus, Andrew must run 1 5/12 Laps to complete the race.

there is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group

Answers

the answer is (10,17)

Answer:

(2,4) (4,6) (6,9) (8,12)

First bracket : Add 2

Second bracket : Add 2

Third bracket : Add 3

Fourth bracket: Add 4

This is all I know

rose had $1000 in her bank account when she was 8 year old. each birthfay her grandma gave rose $20 until she turned 21

Answers

Answer:

1260

Step-by-step explanation:

Subtract 21 from 8,to get 13.Multiply 13 to the 20 dollars,when you do that you get 260.You add the 260 and the 1000 dollars together.


Q1. Helen can collect 240 flowers in 20 minutes. How many flowers can
she collect in 35 minutes?​

Answers

Answer:

420 flowers

Step-by-step explanation:

20 minutes = 240 flowers

1 minute =240/20 flowers

35 minutes = (240*35)/20 flowers

          The answer is 420 flowers.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Helen can collect 240 flowers in 20 minutes.

You need to find the number of flowers she can collect in 35 minutes.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

1: Find the unit rate of Helen collecting flowers. To find the unit rate, just divide 240 by 20, to see how many flowers she can collect per minute.

2: Multiply the number of flowers Helen can collect in 1 minute by 35 (since 1 times 35 is 35).

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

1: 240 divided by 20 is 12. Helen can collect 12 flowers per minute. The unit rate of Helen collecting flowers is 12 flowers per minute.

2: Since Helen can collect 12 flowers per minute, you need to find out how many she can collect in 35 minutes. To get from 1 minute to 35 minutes, you multiply 1 by 35. So you need to multiply 12 by 35 as well. 12 times 35 is 420. So Helen can collect 420 flowers in 35 minutes.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Need help Only 5 questions

Answers

Answer:

for question no 5

answer is 1/10

7(6+5n) + 5(7 + n) = 37
I need help please

Answers

Answer:

or, 42+35n+35+5n=37

or, 77+40n=37

or, 40n=40

so, n=1

Step-by-step explanation:

hope it helps you

n=-1. as the other person said, but you’re supposed to subtract and not combine like terms from the last step

1/3 + a + 5/4. what is A

Answers

Answer:

a = -1.58

Step-by-step explanation:

1/3 +a+5/4 =0

1/3+5/4= -a

4+15/12 = -a

19/12 = -a

1.58= -a

1.58/-1 = -a/-1

-1.58 = a

4. Bill Watson is the Swanton Village computer technician. He earns $22.22 per hour. What is his straight-time pay for a 36-hour week?​

Answers

Answer:

$799.92

Step-by-step explanation:

To find his pay, multiply the number of hours he worked by his pay per hour:

22.22(36)

= 799.92

So, his pay was $799.92

Explain how you can use absolute value to tell wether the sum of two integers is positive or negative

Answers

Step-by-step explanation:

Using absolute value to tell wether the sum of two integers is positive or negative.

Suppose we have a positive integer,

x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.

For any integer x, x + (-x) = 0

I NEED HELP FAST PLEASE

Answers

Answer:

The sum is

[tex]6 \sqrt{5} [/tex]

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

[tex] = 4 \sqrt{5} + 2 \sqrt{5} [/tex]

As their bases are same, simply add them like,

[tex] = (4 + 2) \sqrt{5} [/tex]

[tex] = 6 \sqrt{5} [/tex]

Hope it helps...

Answer: 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

first collect like terms:     4[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] equals to (4+2)[tex]\sqrt{5}[/tex] , then just add 4 and 2 which equals to 6[tex]\sqrt{5}[/tex]

This year,a farm planted 400,000corn stalks.Last year,the farm planted 275,650cornstalks. How many more cornstalks did the farm plants this year than last year?

Answers

Answer:

The farm planted 124,350 more cornstalks

Step-by-step explanation:

Here in this question, we want to know how much more corn stalks did a farm plant this year compared to last year.

Let’s picture it this way;

Possibly due to expansion purposes, the farm planted more cornstalks this year than last year. So to find the difference in the cornstalks planter between the two years, what needs to be done is simply to subtract the number of corn stalks planted last year from the number of corn stalks planted this year.

From the question, the number of cornstalks planted last year was 275,650 while the number of cornstalks planted this year was 400,000; So the difference between the two will be ;

400,000 - 275,650 = 124,350 cornstalks

If (1,-1) is a point on the line 2x-(2a+5)y=5 then find the value of a​

Answers

Answer:

a = - 1

Step-by-step explanation:

Since ( 1 , -1) is a point on the line 2x-(2a+5)y=5 we can substitute it into the equation to find a

We have

2(1) - (-1)(2a + 5) = 5

Multiplying two negatives make a positive

That's

2 + 2a + 5 = 5

2a + 7 = 5

Group like terms

Send the constants to the right side of the equation

That's

2a = 5 - 7

2a = - 2

Divide both sides by 2

That's

[tex] \frac{2a}{2} = \frac{ - 2}{2} [/tex]

We have the final answer as

a = - 1

Hope this helps you

Why is
[tex] \sqrt{2x} [/tex]
is not a polynomial but
[tex] \sqrt{2}x [/tex]
is a polynomial?​

Answers

Answer:

Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.

Step-by-step explanation:

The exponent of variables in a polynomial should be natural numbers ([tex]0[/tex], [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]\dots[/tex].)

[tex]\sqrt{2\, x}[/tex] is equal to [tex]\sqrt{2}\, x^{1/2}[/tex]. In this expression, [tex]x[/tex] is the variable. Its exponent is [tex]1/2[/tex], which isn't a natural number. On the other hand, [tex]\sqrt{2}\, x[/tex] is equivalent to [tex]\sqrt{2}\, x^{1}[/tex]. The exponent of variable [tex]x[/tex] is [tex]1[/tex], which is indeed a natural number.

[tex]\sqrt{2\, x}[/tex] isn't a polynomial because the exponent of variable [tex]x[/tex] isn't a natural number. On the other hand, [tex]\sqrt{2}\, x[/tex] is indeed a polynomial over the set of real numbers.

Simplifying Square Roots of Negative Numbers √-100 = + i

Answers

Answer:

10i.

Step-by-step explanation:

We can rewrite sqrt(-100) as sqrt(-1) multiplied by sqrt(100).

sqrt(-1) is i and sqrt(100) is 10, so sqrt(-100) is 10i.

Answer:

0 + 10i

Step-by-step explanation:

for edge

Jane is saving to buy a cell phone

$35 a month from her allowance

Does it make sense to represent to

and the number of months with a

your answer.

She is given a $100 gift to start and saves

after 1 month, Jane has saved $135.Does it make sense to represent the relationship between the amount saved

ne constant rate? Why or why not? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Since it is mentioned that Jane saved $35 in a month from her allowance  also the starting amount is $100 and she saved $135 after month

So based on the above information, yes it makes the sense as it represents the relation between the saving amount and number of months considering one constant rate as it she saves the similar money amount for every month

Therefore, it is linear

Solve the equation x/2-6=y for x

Answers

answer: x=2y+12

x/2-6=y
multiply both sides by 2
2(x/2-6)=2(y)
2x/2-12=2y
x-12=2y
add 12 to the both sides
x=2y+12

hope this helps <3

Answer:

            x = 2y + 12

Step-by-step explanation:

x/2 - 6 = y

     +6     +6

  x/2 = y + 6

    ×2     ×2

   x = 2(y + 6)    x = 2y + 12

Cora started her math homework at 3:39 P.M. She finished all the problems at 4:12 P.M. How long did Cora spend doing her math homework?

Answers

Answer:

She spent 33 minutes on her homework

Step-by-step explanation:

Answer:

33 minutes

Step-by-step explanation:

An hour is 60 minutes.

Taking 39 away from 60...

39 - 60 = 21

and adding 12 to it.

21 + 12 = 33

We have our answer:

33 minutesI'm always happy to help :)

5. There are 2 green blocks, 3 blue blocks, and 5 yellow blocks in a bag. What is the
likelihood that if one block is randomly chosen it will be either green or blue?
A. Unlikely
B. Likely
C. Certain
D. Equally Likely or Unlikely​

Answers

Answer:

D

Step-by-step explanation:

equally likely or unlikely because it is 50%

Answer:

It is D hope this helps bud :)

Step-by-step explanation:

4 1/2 + 5 1/2= what ​

Answers

Answer:

10

Step-by-step explanation:

4 1/2 + 5 1/2= 4+5+1/2+1/2=4+5+1=10

Answer:

10

Step-by-step explanation:

[tex]4\frac{1}{2}+5\frac{1}{2}\\\\\mathrm{Add\:whole\:numbers}\:4+5:\\\quad 9\\\\\mathrm{Combine\:fractions}\:\frac{1}{2}+\frac{1}{2}:\\\quad 1\\\\=9+1\\\\=10[/tex]

the hypothenus of a right angle triangle is 13cm. if one other side of the triangle is 1cm shorter than the hypothenus, calculate the third side of the triangle

Answers

Answer:

5 cm.

Step-by-step explanation:

Let the lengths of the other 2 sides be 13-1 = 12  and x cm.

Then by Pythagoras:

13^2 = 12^2 + x^2

x^2 = 13^2 - 12^2

x^2 = 169 - 144 = 25

x = √25

x = 5 cm.

Step-by-step explanation:

Hey, there!!

As per your question,

There is a Right angled triangle, whose hypotenuse is 13 cm, one side is (13-1)=12 cm.

another side = ?

Let ABC be a Right angled triangle, taking angle "theta" as a refrence angle.

Hypotenuse (h)= 13 cm.

base ( b) = x

perpendicular (p)= 12cm.

By Pythagoras relation we get,

[tex]b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]

[tex]b = \sqrt{ {13}^{2} - {12}^{2} } [/tex]

[tex]b = \sqrt{169 - 144} [/tex]

Therefore, base is 5 cm. Or the third side is 5 cm.

Hope it helps...

y
A
B
4
Analyze the pre-image ABCD. What are the vertices of
the final image if T_1,-2y = x is applied to figure
ABCD?
A"
B"(3, 2)
C"
D"
2
D
с
<
*
-2
-2

Answers

Answer:

A"(3, 0), B"(3, 2), C"(1, 1), D"(1, -1)

Step-by-step explanation:

Coordinates of A,B,C and D are,

A(2, 4), B(4, 4), C(3, 2) and D(1, 2)

Rule for the reflection over a line y = x,

(x, y) → (y, x)

Therefore, new image of ABCD will be,

A(2, 4) → A'(4, 2)

B(4, 4) → B'(4, 4)

C(3, 2) → C'(2, 3)

D(1, 2) → D'(2, 1)

Rule for translation [tex]T_{-1, -2}[/tex],

(x, y) → (x - 1, y - 2)

By this rule image of A'B'C'D' will be,

A'(4, 2) → A"(3, 0)

B'(4, 4) → B"(3, 2)

C'(2, 3) → C"(1, 1)

D'(2, 1) → D"(1, -1)

Is 5 1/
25 rational or irrational? Explain

Answers

Answer:

rational

Step-by-step explanation:

Hello!

A rational number can be expressed as a ratio of two numbers in p/q form

A irration number cannot be expressed this way

5 1/25 is a rational number since it can be expressed as a ratio of two numbers which is 126/25.

Hope this helps!

[tex]\frac{51}{25}[/tex] is a rational number.

Rational numbers is a mathematical term that refers to the set of numbers that is expressed in a common fraction a / b. It can also be characterized because the denominator is not zero. For example

[tex]\frac{2}{8}[/tex], [tex]\frac{5}{10}[/tex], [tex]\frac{3}{9}[/tex]

On the other hand, irrational numbers are a set of numbers that cannot be expressed as a fraction. For example

π = 3.14159265358979323846…

According to the above, it can be inferred that the number [tex]\frac{51}{25}[/tex] is rational because it is expressed as a fraction.

Learn more in: https://brainly.com/question/17450097

A delivery driver reported that he was 280 miles away from headquarters.
The driver can expect to travel 50 miles per hour. How long will it take
to return?

Answers

Answer:

5.6 hours

Step-by-step explanation:

Using the formula for calculating speed expressed as shown;

Speed = Distance/Time

Given parameters

Distance = 280miles

Speed = 50miles/hour

Required

Time it will take t return

From the formula above, Time = Distance/ Speed

Substituting the given parameters

Time = 280/50

Time = 5.6 hours

Hence the time it will take the driver to return is 5.6hours

Does anyone know this?

Answers

Answer:

[tex]\Huge \boxed{-2}[/tex]

Step-by-step explanation:

[tex]f(x)=-2x^2-2x+10[/tex]

For f(2), the input of the function is 2.

Let x = 2.

[tex]f(2)=-2(2)^2-2(2)+10[/tex]

Evaluate.

[tex]f(2)=-2(4)-2(2)+10[/tex]

[tex]f(2)=-8-4+10[/tex]

[tex]f(2)=-2[/tex]

Answer:

[tex]f(x) = - 2 {x}^{2} - 2x + 10[/tex]

put the value of x = 2

[tex]f(2) = - 2( {2}^{2} ) - 2(2) + 10[/tex]

[tex] f(2) = - 8 - 4 + 10[/tex]

[tex]f(2) = - 12 + 10[/tex]

[tex]f(2) = - 2[/tex]

hope it helps u

Solve for x: the quantity of x plus 20 over 2 = 3x

Answers

Answer:

x = 4

Step-by-step explanation:

For this problem, we simply need to convert the words into the left hand side of the equation and solve for x:

The quantity of implies a grouping

x plus 20 is the quantity

And we want the quantity over 2 all equal to 3x:

( x + 20 ) / 2  = 3x

( x + 20 )  = 6x

20 = 5x

4 = x

And now we can check to see if x is correct by plugging back into the equation:

( x + 20 ) / 2 = 3x

( (4) + 20 ) / 2 ?= 3(4)

( 24 ) / 2 ?= 12

12 == 12

Therefore, we have shown the value of x to be equal to 4.

Cheers.

Answer:

x+20/2=3x.

6x=x+20.

6x-x=20.

5x=20.

x=4.

HELPPPP please !!!!!,!!?

Answers

Mercury has the greater density than that of Venus .

Answer:

mercury has higher density than venus

Write an English phrase that would translate into the following mathematical expression. 7z-4

Answers

Answer: Four is less than seven times z

Step-by-step explanation:

Other Questions
|-15-7|= simply the expression Help please Arrange four 2's to produce 5 A cement walk 3 ft wide is placed around the outside of a circular pond with radius 17 ft. What is the total cost of the walk if the cost per square foot is $1.66 ? A. $582.73 B. $581.15 C. $579.90 D. $583.38 E. $578.87 To mix a particular shade of purple paint, red paint and blue paint are mixed in the ratio 5:3. To make 20 gallons of this shade of purple paint, how many gallons of red and blue paint should be used? In A Oil Spill why Does the Oil not mix with the Sea Water A.Lipids are hydrophobic. A.Lipids are hydrophilic. A.Lipids are saturated. A.Lipids are unsaturated. You hear that a man is suing the local restaurant because he claims the food that he was served contained spices that permanently damaged his taste receptors. Do you think his suit has merit? I litre = ? cubic centimeter Please help! I need details for all the transformation(s). (Translation, reflection, rotation.) Evaluate the function.[tex]f(x) = - x^{2} - 7x - 5[/tex] Find[tex]f( - 5)[/tex] Can you help me I am stuck on it What are the odds against choosing a green or red marble from a bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles? Explain why the average temperature on Earth would be 0 degrees FahrenheitWithout the layer of greenhouse gases. A jar contains 6 aqua beads and 4 black beads. If two beads are selected at random, what is the probability that both beads will be aqua? Round to the nearest hundredth if needed. can someone help me out Select ALL the correct answers.Select all of the equations with a solution A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as the square pyramid, what is its height? A particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams. The heaviest 5% of fruits weigh more than how many grams? Zhao Co. has fixed costs of $286,200. Its single product sells for $163 per unit, and variable costs are $110 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $106,000. Fill in the blank to correctly complete the statement below.The invention of the pendulum-driven ____ ao in the 1600s paved the way for a new industrial era. 5 students participated in a push-up competition.The amount of push-ups each student completed is listed: 12, 7, 10, 11,5What was the mean number of push-ups?