Factors of polynomial 3xsquare +x-4

Answers

Answer 1

Answer:

(3x + 4)(x - 1)

Step-by-step explanation:

3x^2 + x - 4

use middle term break method

we need two number which gives 12 when multiplied and 1 when subtracted

3x^2 + (4 - 3)x - 4

3x^2 + 4x - 3x - 4

x(3x + 4) -1(3x + 4)

(3x + 4)(x - 1)

Answer 2

Answer:

(x - 1)(3x + 4)

Step-by-step explanation:

Given

3x² + x - 4

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

product = 3 × - 4 = -12 and sum = + 1

The factors are - 3 and + 4

Use these factors to split the x- term

3x² - 3x + 4x - 4 ( factor the first/second and third/fourth terms )

= 3x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term

= (x - 1)(3x + 4) ← in factored form


Related Questions

Write "five thousand six hundred eighty-five and twelve hundredths" in expanded form

Answers

Answer:

56851200

Step-by-step explanation:

The expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

What is number?

A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.

It is given that:

The word expression:

"five thousand six hundred eighty-five and twelve hundredths"

The number would be:

= 5685.12

In the expanded form the number can be written as:

The expanding form can be used to indicate the value of each digit in a number in arithmetic.

Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.

Expanded Form:

5685.12 = 5000 + 600+ 80 + 5 + 0.1 + 0.02

Thus, the expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

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What is 1/9 of 9?
a) 1/9
b) 0
c) 1
d) 2
e) 3

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] = \frac{1}{9} \times 9\\[/tex]

[tex] = \frac{9}{9} \\[/tex]

[tex] = \frac{1}{1} \\[/tex]

[tex] = 1\\[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

Natalie is flying a kite, holding her hands a distance of 2.5 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 30°. If the string from the kite to her hand is 95 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.

Answers

Answer:

50

Step-by-step explanation:

trust me bro

The height of the kite is 47.5 feet.

Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.

Let h represent the height of the kite. Hence, using trigonometric ratios:

sin(30) = h / 95

h = 47.5 feet

Therefore the height of the kite is 47.5 feet.

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Which expression is equivalent to

Answers

Answer:

The second one from the top

Step-by-step explanation:

x^(5/3) y^1/3)

Answer:

you can rewrite expressions, for example

[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]

so yeah, option b is correct

Please give real answers with explaination. 50 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

Step-by-step explanation:

That exterior angle is equal to the sum of the remote interiors, specifically:

2x + 3 = 45 + x + 8 and

x = 50

So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.

Please help me!! I will mark you as BRAINLIEST ANSWER!

Which data set has high consistency and low variability? Why?

Answers

Answer:

I would say Group A

Step-by-step explanation:

There is more of the latter half than the first half, meaning there is low variability but high consistency in the second half.

It takes a train 8 hours to travel a distance of 216 km. What is the average speed of the train?

Answers

(S=D/T)S=216KM, T=8HOURS : 216/8=27KM/HOUR

The average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

It takes a train 8 hours to travel a distance of 216 km.

As we know,

Average speed = distance/time

Average speed = 216/8 = 27 km/hour

Thus, the average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.

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A wooden frame is to be constructed in the form of an isosceles trapezoid, with diagonals acting as braces to strengthen the frame. The sides of the frame each measure 5.3 feet, and the longer base measure 12.7 feet. If the angles between the sides and the longer base each measure 68.4 degrees, find the length of one brace to the nearest tenth of a foot.

Answers

Answer:

11.8 ft

Step-by-step explanation:

Since the length of one side, l = 5.3 ft, the longer base b = 12.7 ft and the one brace, d form a triangle with angle between the longer base and side being the angle facing the brace is θ = 68.4°, we use the cosine rule to find the length of thee brace.

So d² = l² + b² -2lbcosθ

So, substituting the values of the variables into the equation, we have

d² = (5.3 ft)² + (12.7 ft)² -2(5.3)(12.7)cos68.4°

d² = 28.09 ft² + 161.29 ft² - 134.62(0.3681)

d² = 189.38 ft² - 49.56 ft²

d² = 139.82 ft²

taking square-root of both sides, we have

d = √139.82 ft²

d = 11.82 ft

d ≅ 11.8 ft to the nearest tenth of a foot.

PLEASE PLEASE PLEASE HELP ME
Please look at all of the questions!
Thank you in advance!!!

Answers

Angle ABC= 180-80 = 100
The angle relationship is vertical angles
I don’t know the last one sorry

PLS FIND THIS MOVIE

At the begining of the movie the female protagonist witnesses a somewhat elderly woman killing herself (jumping from a window/balcony). As she falls to the ground, she throws away a bunch of (photos/letters or journal pages, can’t remember exactly). The protagonist takes the stuff the elderly woman threw away and…as I belive, she starts to travel back in time or something. There she meets this man that she starts to have a relationship with him even though he is abusive and married and…plot twist…towards the end she finds out that he was actually her father. And she was the woman she knew, as a child, to be her fathers mistress.

Answers

Answer:

the nun I think so

actually it may be wrong ☺️

PLZZZ HELPPPP!!!!!!!!!!!!!!

Answers

Answer:

$205.60

160(1.135)+ 160(.15)

Step-by-step explanation:

what is the circumference of a circle diameter of 6 feet?use 3.14 for n

Answers

Answer:

18.84 feet.

Step-by-step explanation:

The formula for the circumference of a circle is:

2Pi*radius

The radius would be half the diameter so 3.

2*3.14*3

Kelsey is solving the inequality 17+4<9 17 + 4 x < 9 . To solve the inequality, she begins by solving the equation as shown. Which number line represents the solution to the inequality? 17 + 4 x = 9. Subtract 17 from both sides. 4 x = negative 8. Divide both sides by 4. X = negative 2. CLEAR CHECK A number line going from negative 10 to positive 10. A closed circle is at negative 2. A number line going from negative 10 to positive 10. Closed circles are at negative 4, negative 3, negative 2, negative 1, 0. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the right of the circle. A number line going from negative 10 to positive 10. An open circle is at negative 2. The line is shaded to the left of the circle.

Answers

Answer:

an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")

Step-by-step explanation:

Given the inequalities

17+4x < 9

Subtract 17 from both sides

17+4x -19 < 9 - 17

4x < -8

Divide both sides by 4

4x/4 < -8/4

x < -2

To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.

15 cm
7.5cm
10 cm
5 cm

Answers

Answer:

7.5 = OM

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side / hypotenuse

sin 30 = OM / UN

sin 30 = OM / 15

15 sin 30 = OM

7.5 = OM

which type of conic section is represented by the equation y = (x-10)^2 - 5?

Answers

Answer:

That's a parabola

explanation:

The linear scale factor of two similar shapes is in ratio 3:4 if the area of the smaller shape is 72cm, find the area of the bigger shape

Answers

Answer:

128 cm²

Step-by-step explanation:

Given linear scale factor of 2 similar shapes = a : b , then

ratio of areas = a² : b²

Here linear scale factor = 3 : 4 , then

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger shape then by proportion

[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )

9x = 1152 ( divide both sides by 9 )

x = 128

That is area of larger shape is 128 cm²

How much longer is path c than path d?

Answers

Answer:

1000

Step-by-step explanation:

the math

Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30


whoever answer this first gets 30 points​

Answers

Answer:

-3x+30

Step-by-step explanation:

[tex]4\left(x+7\right)-7x+2[/tex]

Expand [tex]4(x+7)= 4x+28[/tex]

[tex]4x+28-7x+2[/tex]

Simplify [tex]4x+28-7x+2[/tex]

[tex]-3x+30[/tex]

Identify the 3 terms by name: 5x2 - 7x + 2

Answers

Answer:

5x2-7x-1

Step-by-step explanation:

STEP1:Equation at the end of step 1

((5x2 - 7x) - 3) + 2

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  5x2-7x-1 

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -1 = -5 

Step-2 : Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -7 .

     -5   +   1   =   -4     -1   +   5   =   4



What is the distance between the bank and Hiroto's house on the map?

Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)

Answers

Answer:

The distance is 12 miles

Step-by-step explanation:

Given

See attachment for grid

Required

The distance

From the attached:

[tex]B = (-8,6)[/tex] --- Bank

[tex]H = (4,6)[/tex] --- Hiroto's house

Using distance formula, we have:

[tex]d = \sqrt{(x_1- x_2)^2 + (y_1 - y_2)^2}[/tex]

This gives:

[tex]d = \sqrt{(-8- 4)^2 + (6 - 6)^2}[/tex]

[tex]d = \sqrt{(-12)^2}[/tex]

[tex]d = \sqrt{144}[/tex]

[tex]d = 12[/tex]

Use the law of sines to find the measure of angle C.

Answers

C = 43.6 degrees (1 dp)

You cannot find C using the sine law without knowing one of the other angles.
In your previous question I showed you that A = 71.5
sin(C)/16 = sin(71.5...)/22
sin(C) = 16 x sin(71.5...)/22 = 0.68977...
C = sin^-1(0.68969) = 43.6 degrees

Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.

The measure of the angle C of the given triangle is 43.61°

What is the law of cosines?

According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write

AB² = BC² + CA² - 2(BC)(CA)cos C.

How to solve this problem?

Here, AB = 16, BC = 22, and AC = 21.

Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C

i.e. 256 = 484 + 441 - 924 * cos C

i.e. 256 - 925 = - 924 * cos C

i.e. - 669 = - 924 * cos C

i.e. cos C = 669/924 = 0.724

i.e. C = cos⁻¹(0.724) = 43.61

Therefore the measure of the angle C of the given triangle is 43.61°

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b(1)=−7
b(n)=b(n−1)+12 ​

Find the 4th term in the sequence.

Answers

Answer:

4th term = 29

to generate the terms, substitute n = 2, 3, 4 into the rule

noting that b(1) = - 7

b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5

b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17

b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29

can someone help me figure this out?

Answers

Answer:

Step-by-step explanation:

i dont know this I am sorry :(

Answer:

Tree C

Step-by-step explanation:

each of the charts/tables/paragraphs are talking about a different tree.

Tree A started with 5 inches, as it says.

Tree B started with 3 inches, as you can see under the 0 months.

Tree C, at the month 0 mark, has a height of 10 inches, so it started with 10.

10>5 and 10>4, so Tree C is the biggest

please help :))))))))

Answers

Answer C explanation: Alternate interior angles are always congruent

At the beginning of the school year, Liya's goal was to earn an A on
at least 85% of her 60 quizzes for the year. She earned an A on 35 of the first 40
quizzes. If she is to achieve her goal, on at most how many of the remaining
quizzes can she earn a grade lower than an A?

A: 1
B: 2
C: 3
D: 4
E: 5

Answers

Answer:

4

Step-by-step explanation:

If 15% of quizzes don't have to be A's, that means that its 9 quizes that can be lower than an A. She already lost 5 which means she has four left.

Answer:

D; 4

Step-by-step explanation:

Step 1:

Let us figure out exactly how many As Liya has to earn for the year. We must find 85% of 60:

[tex]85 \%\ of\ 60=\\\frac{85}{100}*\frac{60}{1}=\\\frac{85}{5} *\frac{3}{1} =\\17*3=\\51[/tex]

Liya must earn 51 As this year to reach her goal. This also means that she can earn 9 grades lower than an A to still reach her goal ([tex]60-51=9[/tex]).

Step 2:

So far, Liya has earned 35 As out of 40 tests in total. This means that so far, Liya has earned 5 test grade lower than an A:

[tex]40-35=5[/tex]

In total, Liya can only have 9 grades lower than an A. Therefore:

[tex]9-5=\fbox{4}[/tex]

Liya can only earn [tex]\fbox{4}[/tex] grades lower than an A in the remaining quizzes.

I hope this helps! Let me know if you have any questions :)

Which statement is true regarding the graphed functions?

Answers

Answer:

they intersect at 0,-2

Is -14 greater than less than or equal to -3

Answers

Answer:

less than is the correct answer

Need more help again

Answers

Answer:

QSR = 68º

Step-by-step explanation:

TSQ + QSR = TSR

15x + (10x - 2) = 173

Combine like terms

25x = 175

Divide both sides by 25

x = 7

QSR = 10x - 2

QSR = 10(7) - 2

QSR = 68º

1) The population of Leafy Lake starts at 3,000 and grows by 25% every year. What will the population be in 6 years?

how do I solve it

Answers

X/3,000 = 25/100
100x = 3,000x25
100x = 75,000
100x/100 = 75,000/100
X = 750

750x6 = 4,500
Every year the population goes up by 750, in 6 years the population would be 4,500 people.

Answer:

Step-by-step explanation:

Rate of increase = r = 25%

n = number of years = 6

P = Current population = 3000

Population after n years = [tex]P*(1 + \frac{r}{100})^{n}[/tex]

            [tex]= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=[/tex]

Find the area of this circle. Use 3 for pi. A = pi r2. radius is 15 ft so answer is [?] ft?​

Answers

Answer:

675 sq feet

Step-by-step explanation:

Radius =15ft

Area = 3(15)^2

= 3(15)(15)

= 3(225)

=675 sq ft

Answer:

675

Step-by-step explanation:

We square r first, so 15 ^ 2 = 225.

Then multiply by pi, which is 3 for this problem. 225 x 3 = 675.

Therefore, the answer is 675.

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