Factor the trinomial 3x2 + 13x − 10 by grouping.

Answers

Answer 1

Answer:

(3x - 2) (x+5)

Step-by-step explanation:

3x^2 + 13 - 10

15× - 2 = -30

15+-2 = 13.....substitute 15x - 2x in place of 13x

3x^2+15x-2x-10

Factorise the first two values, thrn the second two

3x (x+5) - 2 (x+5)

Gathering the like terms together you eill be left with the following

(3x - 2) (x+5)

Answer 2

The factors of the trinomial 3x² + 13x - 10 is (3x-2)(x+5).

What is Factorization?

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

we have,

Trinomial= 3x² + 13x - 10

Now, factories using splitting the middle term we get

3x² + 13x - 10

= 3x² + 15x - 2x - 10

= 3x( x +5) - 2(x+ 5)

= (3x - 2) (x+ 5)

So, the factors are (3x- 2(x+5)

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Related Questions

whats12 divided by 1/3 (infractions)

Answers

12 divided by 1/3 is also equal to 12 times 3.

12x3=36

To double check, you could use a calculator, but the answer would still be 36.

sorry if this doesn't help

Answer:

36/1

36

Step-by-step explanation:

Can someone help me please????

Answers

i think it would be the last one sorry if i’m wrong

Please help me solve 8n+2-6n-13=9+2n-13

Answers

no solution since the 2n on both sides cross out

Answer:

It has no solution, unless there's a specific way it needs to be solved

Step-by-step explanation:

Please help


1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the

viewing platform as 37º. How far up the tower is the viewing platform?

Answers

Answer:

41.4feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform

What is the greatest common factor of 46 and 16?

Answers

Answer: The greatest common factor is 2
the greatest common factor is 2

What would be the best estimate for the height of a front door?

Answers

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)

Graph two : (0,3) (4,-5)


Help

Answers

Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

Find the dimensions of the square or circle.

Answers

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?

Answers

Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer: 60 gallons of diesel fuel

Steps:
720/144 = 5
5 * 12 = 60
60 gallons for 720 miles


Which of the following numbers makes the inequality -2 A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is

Answers

Answer:

opposite word of disperse

what is 3 (2х-5) 2х+3=1

Answers

3(2x-5)+2x+3=1

6x-15+2x+3=1

8x-12=1

    +12 +12

8x=13

/8   /8

x=1.625

---

sorry if this doesn't help

A right rectangular prism has a square base and a volume of 225 cubic centimeters. The height, h, of the prism is 9 centimeters. Find the area of the base, B. A. B. C. D.

Answers

Answer:

Area of base = 25cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

Volume = length × width × height = lwh

for a square base, length = width

∴ volume = l × l × h = l²h

where:

l = length

h = height = 9cm

volume = 225 cm³

∴ 225 = l² × 9

l² = 225 ÷ 9

l² =  25

∴ length = √ 25 = 5cm

Area of base = Length × Length = 5 × 5 = 25cm

Solve for XSolve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X

Answers

Answer:

Step-by-step explanation:

Because the angles are opposite each other they are equal so we can say

4x-25=75

4x=100

x=25

x= 25

4x -25 = 75 ( vertically opposit angle)

4x = 100

x = 100/4

x= 25

angle = 75

hope it helps

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)
2 9.00
5 22.50
7 31.50

Answers

there’s no question....

The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of games be represented as x

Let the cost for the total number of games be y

And , the values of x = { 2 , 5 , 7 }

Now , the values of y = { 9.00 , 22.50 , 31.50 }

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

On simplifying , we get

9 = k ( 2 )

Divide by 2 on both sides , we get

k = 4.5

And , 22.50 = k ( 5 )

Divide by 2 on both sides , we get

k = 4.5

Therefore , the proportionality constant is k = 4.5

Hence , the proportion is y = 4.5x

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The complete question is :

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)

2 9.00

5 22.50

7 31.50

Do the Number of the games and price form a proportional relationship? choose correct response

1. Yes there is a constant of proportionality of 11.25.

2. Yes there is a constant of proportionality of 4.50.

3. No there is not a constant of proportionality.

4. No the Slope is 4.5

Can somone please help me and explain very much appreciated and this is 7th grade math btw

Answers

Answer:

4 8.95h + 10 < 115

Step-by-step explanation:

Answer: 4) 8.95h + 10 < 115

Step-by-step explanation:

We know the inequality will be equal to less than 115 since it states that the order was less than $115.

The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115

8.95h + 10 < 115

(h in the given equation is the amount of shin guards)

help please i’ll give points !!

Answers

Answer: C :)

Step-by-step explanation:

It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.

Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.

A. The rate of change is 1/2

B. The rate of change is 2

C. The rate of change is constant

D. The rate of change is increasing

Answers

The answer is going to be C

what is the mixed number: 1 and 3/4 as a percent​

Answers

Answer:

175%

Step-by-step explanation:

1 would be 100%

3/4 would be 75%

100%+75%=175%

Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)

Answers

Step-by-step explanation:

<c =90 °

So, Pythagoras theorem can be used,

Hypotenuse ² = base ² + altitude ²

AB²=AC²+BC²

11²=AC²+4²

11²-4²=AC²

121-16=AC²

Root 105=AC

AC=10.2 cm

The length of AC is 10.25 cm

What is pythagorean theorem ?

If ΔABC is a right angle triangle, then

AB² = BC²+AC²

where AB = Hypotenuse, BC & AC are adjacent sides of the right angle

What is the required length of the side ?

Given, hypotenuse = AB = 11 cm

One of adjacent sides = BC = 4 cm

We have to find the length of AC.

Using pythagorean theorem,

AB² = BC²+AC²

⇒ AC² = AB² - BC²

⇒ AC² = 11²-4²

⇒ AC² = 121-16

⇒ AC = √105

⇒ AC = 10.25

So the length of AC = 10.25 cm

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3a²b3(-4b3 + 2b2a - 7) =

Answers

Answer:

the answer is =6a^3b^5−12a^2b^6−21a^2b^3

Step-by-step explanation:

hoped I helped:)

Please help! Thank you! :))

Answers

The percent increase is a 30% increase.
Explaination: if you take 195-150 and get 45, you get close to 30% so it’s pretty close to the answer.

25% of what number is 20

Answers

Answer:

100

Step-by-step explanation:

What is 2x+7y=28 in slope intercept form

Answers

Answer:

y = -2/7x + 4

What is the equation of a circle whose center is at the origin and whose radius is 16?

x 2 + y 2 = 4
x 2 + y 2 = 16
x 2 + y 2 = 256

Answers

X2 + Y2 = 256

Best luck with your studying

Answer:

x^2 + y^2 = 256

good luck and have an awesome Day/Night

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Answers

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

Solve each equation.

d(d+3)-d(d-4)=9d-16

Answers

Answer:

2d+3d-2d+4d= 9d-16

2d is cancelled

3d+4d=9d-16

7d=9d-16

16=9d-7d

16=2

16/2

d=8

I need this answer ASAP! Please help!
A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.

Answers

Answer:

Step-by-step explanation:

sin77=h/8

h=8sin77

h=8(0.9744)

h=7.7952ft

In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24

Answers

Answer:

Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

The diameter of a circle is 4 units.
What is the radius of the circle?
units

Answers

Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

What is the value of x? Round to the nearest tenths place.

Answers

Answer:

39^2-15^2=1296

/

put this number in a square root and it will give you=36

×=36

Step-by-step explanation:

hypotenuse minus short side it gives another short side

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