Explain the first steps to factoring when the leading coefficient is 1.

a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.

Answers

Answer 1

Answer:

In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.


Related Questions

65°
(х + 72)
i need help with x

Answers

Answer:

65x+4680

Step-by-step explanation:

Jennifer and Ashley went to the store. Jennifer bought 1.2
pounds of apples. Ashley bought 0.75 pound of grapes. How
many pounds of fruit did they buy in all? Make sure to write your equation to receive credit.

Answers

Answer:

1.2+0.75=1.95 pounds

Step-by-step explanation:

Please answer the pictures provided

Answers

Answer:

-6-3

Step-by-step explanation:

find the binomial which is a common factor of:-
plz ans it fast...

Answers

Step-by-step explanation:

step 1. why are you in a hurry?

step 2. a binomial that is a common factor of 121 - 25x^2 and 25x^2 + 55x + 121.

step 3. the factors. of 121 - 25x^2 are (11 - 5x)(11 + 5x).

step 4. the factors of 25x^2 + 55x + 121 are (5x + 11)(5x + 11).

step 5. the common factor is 5x + 11.

Find the zeros 7x(x-11)-2(x-11)=0

Answers

(x-11)(7x-2)=0

x=11 or x=2/7

Answer:

x = [tex]\frac{2}{7}[/tex], x = 11

Step-by-step explanation:

Given

7x(x - 11) - 2(x - 11) = 0 ← factor out (x - 11) from each term

(x - 11)(7x - 2) = 0

Equate each factor to zero and solve for x

x - 11 = 0 ⇒ x = 11

7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]

On Monday ,bo saw 1/5 of birds listed in his guidebook. on Tuesday he saw 3/5 more of birds. what fraction of the birds in the guidebook did bo see in those two days ?

Answers

Answer:

4/5

Step-by-step explanation:

That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5

Another name for a cube is
A. dodecahedron
B. hexahedron
C. icosahedron
D. tetrahedron
please help

Answers

Answer:

B

Step-by-step explanation:

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

Area=[tex]\frac{(6+16)9}{2}[/tex]

       =99 yd²

One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.

Answers

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

x = 5y - 6 This is just the first sentence written as an equation.

x + y = 60 This is just the second sentence written as an equation.

5y - 6 + y = 60 Substitute x for what you know it is equal to

6y - 6 = 60 Collect like terms

6y = 66 Add 6 to each side

y = 11 Divide each side by 6

x = 5 × 11 - 6 Substitute y for what you know it is

x = 55 - 6 Simplify by working out 5 × 11 = 55

x = 49 Subtract 6 from 55 to get 49

How many solutions does this equation have?
4v = 6v − 2v

no solution
one solution
Infinitely many solutions

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

4v=6v-2v  Combine like terms.

4v=4v       These are already equal without diving, so there are infinitely many solutions.

Hope this helps and have a nice day ❤

Answer:

Infinitely many solutions

Step-by-step explanation:

4v=6v-2v

4v=4v

when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions

P.S. Please mark me Brainliest if it is correct.

How do I know if it is sss, sad, asa, or aas?

Answers

i have attached a image which may help u <3

Evaluate 10m + n²/4 when m=5 and n=4

Answers

Answer:

16.5

Step-by-step explanation:

Break down the equation:

10*5=50

4 with an exponent of 2= 16

Then you have: 50+16 / 4

You can simplify it to 66/4

Finally, divide 66 by 4 which equals 16.5

Hope this helps!

Halppppppppppppppppppp​

Answers

Answer:

Yes

Step-by-step explanation:

[tex]y\leq 3x+9\\\\8\leq 3(7)+9\\\\8\leq 21+9\\\\8\leq 30[/tex]

Yes, the given point makes the inequality true. We end up with a true statement.

Hope this helps.

5 examples of theorems in math. :")

Answers

Theorem 1. Pythagoras Theorem
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Theorem 2. Thales Theorem
If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.

Theorem 3. Euclid’s Theorem
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements.

Theorem 4. Fundamental Theorem of Arithmetic
The fundamental theorem of arithmetic states that every positive integer (except the number 1) can be represented in exactly one way apart from rearrangement as a product of one or more primes.

Theorem 5. Ceva’s Theorem
Ceva's theorem is a theorem of affine geometry, in the sense that it may be stated and proved without using the concepts of angles, areas, and lengths (except for the ratio of the lengths of two line segments that are collinear). It is therefore true for triangles in any affine plane over any field.

The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64

Answers

Answer:

C. 32

Explanation:

The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Please give Brainliest

Works Cited:

https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.

The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

What is scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

The square-cube law states that "When an object undergoes a proportional increase in size,

its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

To learn more on scale factor click:

brainly.com/question/5992872

#SPJ7

(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11

Answers

Answer:

x=9 option C

Step-by-step explanation:

explanation above

Please mark me as brainlist

Look at the arithmetic sequence below and select the correct recursive and explicit formula for the sequence.

-1, 3, 7, 11...



Recursive Formula: Response area

Explicit Formula:

Answers

Answer:

+4 each time

Step-by-step explanation:

Please help me again!

Answers

Answer:

144

Step-by-step explanation:

First subtract 180 from 20% of 180.

180 - (20/100 x 180) = 180-36 = 144

Do the ratios 20/10 and 4/2 form a proportion? Yes or no

Answers

Answer:yes

Step-by-step explanation:they are equal

Can Someone Answer this question??

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442

Find the 37th term.

Answers

Answer:

37th term = -136

Step-by-step explanation:

Given:

Series;

460, 451 ,442

First term a = 460

Common difference D = 451 - 460 = -9

Find:

37th term

Computation:

37th term = a + 36D

37th term = 460 + 36(-9)

37th term = -136

 

Answer:

136

Step-by-step explanation:

Arithmetic Sequence.

Common Difference:

451−460=−9

442−451=−9

d=−9

Explicit Formula:

a{n}=a{1}+(n-1)d

a{37}=460+(36)(-9)

a{37}=136

=136

(Got it right on DeltaMath

what is the square root of 4.84

Answers

Answer:

2.2. Hope it helps :D

2.2, sorry if i’m wrong

8 + 3n ≥ 38 do yall know??? solve please

Answers

Answer:

n ≥ 10

Step-by-step explanation:

Given

8 + 3n ≥ 38 ( subtract 8 from both sides )

3n ≥ 30 ( divide both sides by 3 )

n ≥ 10

The ages, in years, of a group of students are given in the box. Work out the mode.11 11 12 13 13 14 15 15 15 15

Answers

Answer:  Mode = 15

Explanation:

The mode is the most frequent value. We see that "15" shows up a total of 4 times, which is the most of the the unique values {11, 12, 13, 14, 15}.

Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of this time period

Answers

4000(1+1.5\100)to the power of 3

Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.

Answers

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular

The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?

Choose exactly two answers that are correct.

Question 3 options:

The ratio of large to small T-shirts is about 4 to 1.

There are more than 35 small and extra small T-shirts.

There are about twice as many large T-shirts as small T-shirts.

There are fewer than 100 T-shirts in all.

Answers

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

there are fewer then 100 t shirts
the ration of large to small tshirts is about 4 to 1
they are both correct

el conjunto solucion de la ecucacion 2x - 6=8x, es

Answers

Answer:

English translate please so i can help you?

Step-by-step explanation:

James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply.

Answers

Answer:

B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation:

P1: 12^2+15^2=20^2  144+225=400  369=400

P2: 16^2+30^2=34^2  256+900=1156  1156=1156

P3: 20^2+21^2=29^2  400+441=841  841=841

P4: 18^2+20^2=26^2  324+400=676  724=676

So the answers are B and E

Answer:

b and e

Step-by-step explanation:

Select the equivalent expression.
3-5 = ?

Answers

-2 !!!!!!!!!!!!!!!!!!!!!!!

Which group contains triangles that are similar for brainliest

Answers

Answer:

its the second one of course

Step-by-step explanation: plz mark brainliest

Answer:A

Step-by-step explanation:

Because yes

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