step 1: find the factors of ac that add up to b. ac=6(−10)=−60 b=−11 the factors of −60 that add up to −11 are and . step 2: rewrite the trinomial with the x-term expanded, using the two factors from step 1. 6x2−11x−10 (6x2− )+( −10) step 3: group the first two and second two terms together, find the gcf and factor again. (2x−5)+ (2x−5

Answers

Answer 1

Answer:

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11

.

6x2+4x−15x−10

Factor out the greatest common factor from each group.

2x(3x+2)−5(3x+2)

Factor the polynomial by factoring out the greatest common factor, 3x+2

.

(3x+2)(2x−5)


Related Questions

1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km

Answers

Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

Dave determines the meal he ordered at the restaurant contains 29% of his daily
sodium intake. If the meal contains 251 mg of sodium, how many mg of sodium are in
Dave's daily diet?

Answers

His daily meal 865.517241

There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft

Answers

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

The last number is 110

Answers

Answer:

70°

Step-by-step explanation:

90 + 20 + x = 180

110 + x = 180

x = 180 - 110

x = 70°

Answer:

60 degrees

Step-by-step explanation:

The angles are 30 and 90 degrees ( i think it was 30 degrees it wasn't a clear picture. )

A triangle it 180 degrees in total.

SO if we add 30 and 90

30 + 90 = 120

We'll get 120.

We then suptract 120 from 180

180 - 120 = 60

So the degree of x will be 60 degrees.

120 + 60 = 180

If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?

Answers

Answer:

A = 16000(1+0.14)^12 = 77086.4777

Answer:

12 22 23 24 25 26 2u 28 ug6fyd

Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?​

Answers

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

What is cost?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

How to find the cost per process?

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

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#SPJ2

Caleb wants to rent a kayak. Kayak rentals cost $70.58  for a half hour. If Caleb rents a kayak for 5.0 hours, how much will it cost him?

Answers

Answer:[tex]{ \times 2 + \times - 20} \div { \times - 4[/tex]

Step-by-step explanation:

divide each of the following: using the two methods

The length of a side of an equilateral triangle is 10 cm. Find the height of the triangle

Answers

May i see the photo? I will try to answer it

Answer:

h = 5√3

Step-by-step explanation:

h = (√3/2)a

h = 10

h = (√3/2)10

h = 5√3

A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.

Answers

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Length = 500 ftWidth = 30 ft

Recall:

Area of rectangle: A = length x width

Given:

Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470

Required:

Dimensions of the field (the length and the width).

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

Solve for l

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

Factorize

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Plug in the value of l

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Length = 500 ftWidth = 30 ft

Learn more here:

https://brainly.com/question/16410706

Simplify each expression.
(a^2b^-3/a^-2b^2)2

Answers

Answer: a^8/b^10

Step-by-step explanation:in the picture

Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)

Please I need answer ASAP!! I’ll make you brainliest!!

Answers

Answer:b

Step-by-step explanation:

Paul is shopping for laundry detergent. At the grocery store, the liquid detergent is pricedat $14.99 for 64 loads of laundry and the same brand of powder detergent is priced at$15.99 for 80 loads. Which is the better buy, the liquid or the powder detergent?

Answers

Answer:

15.99 is better

Step-by-step explanation:

because when working with dividing decimals we need to make it a whole number so we would move it over to the right till it is a whole number (which is two spaces) but first we need to put our decimal in our quotient so two spots. and 1499 divided by 64 equals 23.421875 and 1599 divided by 80 equals 19.9875 so the 15.99 dollar one is a better deal.


There is an equation that has a slope of 3 and it crosses the y-axis at (0, -1).
What is the equation of this line?

Answers

Answer: y = 3x - 1

Step-by-step explanation:

y = 3x + c

-1 = 3(0) + c

-1 = 0 + c

-1 - 0 = c

-1 = c

y = 3x - 1

Solve for x.



5x−2(x+1)=1/4 ​



Enter your answer as a fraction in simplest form in the box.

x =

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

I need the answer ASAP

Answers

Answer:

It would be 120 inches squared.

Step-by-step explanation:

12 x 8 = 96

6 x 4 = 24 / 2 = 12

12 x 2 = 24

96 + 24 = 120 inches squared

Answer: 80 in 2 cm

Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.

Plz help me fast urgent thank you :) 20 points

Answers

Answer:

C

Step-by-step explanation:

2 times 7 is 14 highest dollar per hour rate

Answer:

Point C

Step-by-step explanation:

In order to determine the price point that will provide the most revenue, you could multiply the price per taco by its corresponding quantity demanded:

A) $3.00 × 2 tacos demanded = $6

B) $2.50 × 4 tacos demanded = $10

C) $2.00 × 7 tacos demanded = $14

D) $1.50  × 8 tacos demanded = $12

E) $1.00  × 12 tacos demanded = $12

Of all the given values, it turns out that at Point C, where price per taco is $2, and the quantity demanded for that price is 7, provides the most return for Rocco's.

Therefore, the price point that providees the most return is $2.

PLEASE HELP ITS MATH THANK YOUUUU

Answers

5 hours

7.3/2 = 18.25/?

Cross multiply

18.25*2 = 7.3*?
36.5 = 7.3*?

Divide both sides by 7.3

36.5/7.3 = ? (Because 7.3/7.3 is 1 you’re just left with ?)

36.5/7.3 = 5

So 5 hours

Also need help with this question 4 x −5 =

Answers

Answer:

the equation is not completed

Answer:

-20

Step-by-step explanation:

Multiply 4x5 which is 20 but since 5 is negative then it's -20

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.


Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.


p(x) =

Answers

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

find c. 2cm 15 degrees 105 degrees C= [?]cm

Answers

Answer:

the answer is 122cm

Step-by-step explanation:

105cm+15cm+2cm=122cm

How do you evaluate -98 - 13

Answers

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

what is the mean of 22, 24, 28, 19, 27

Answers

Answer:

Mean = 24

Step-by-step explanation:

Mean = (Sum of Terms) ÷ (Total numbers of Terms)

Mean = (22 + 24 + 28 + 19 + 27) ÷ 5

Mean = 120 ÷ 5

Mean = 24

How many distinct lines of symmetry does the image have?
The image has rotational symmetry after rotating every

Answers

Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.

Answers

here you go this is the answer

On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?

Answers

Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

Read related link on:

https://brainly.com/question/25265419

help for brainliest also 30 points

Answers

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

solve pls brainliest

Answers

Answer:

17.8 is the answer

Step-by-step explanation:

89/5 (the improper fraction of 17 4/5) divided is 17.8

Answer:

first method :

⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)

17 + 0.8 = 17.8

(this is the easiest method of doing this)

second method :

(17 × 5 + 4)/5

= 89/5

and dividing this u get 17.8

(but this is a lengthy method, as it will take time to devide)

Step-by-step explanation:

brainliest plz

4
Calculate the area of the shaded region. Round to the nearest tenth, as needed.
59
1.3 m 1.7 m

Answers

Answer:

0.9m²

Step-by-step explanation:

Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:

a = πr² = π × (0.85)² = 289/400π

Find the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:

a = πr² = π × (0.65)² = 169/400π

Subtract the two area:

289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²

If f(x) is a linear function, what is the value of n?
Х
-4
f(x)
1-25
-10
-1
n
20
2
4
9

Answers

Answer:

The value of n is 5.

Step-by-step explanation:

We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.

x            f(x)

-4          -25

-1            -10

n             20

First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.

m = y2-y1/x2-x1

Upon substituting coordinates of our given points we will get,

m = -10--25/-1--4

m = -10+25/-1+4

m = 15/3

m = 5

Since we know that the equation of a line in slope-intercept form is:

y = mx + b,where, m= Slope and b= y-intercept.

Upon substituting m = 5 in slope-intercept form of equation we will get,

y = 5x + b

Now let us find y-intercept by substituting coordinates of one point in our given line.

-10 = 5(-1) + b

-10 = -5 + b

-10 + 5 = -5 + 5 + b

-5 = b

y = 5x - 5

Now let us find value of n by substituting x = n and y = 20 in our equation.

20 = 5 * n - 5

20 + 5 = 5 * n - 5 + 5

25 = 5 * n

25/5 = 5 * n/5

5 = n

Therefore, the value of n is 5.

Maya, Greg, and Austin sent a total of 81 text messages during the weekend. Austin sent 2 times as many messages as Maya. Greg sent 9 more messages than Maya. How many messages did they each send?

Answers

Maya=18 Greg =27
Austin =36
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