What are the factors of 2x2 + 3x - 54? Select two options.
2x - 9
2x - 6
O 2x + 6
OX-6
O x + 6

Answers

Answer 1

Step-by-step explanation:

Therefore, the factors are x + 6 and 2x − 9.

Answer 2

The factors of the polynomial are (2x-9)(x+6)

What is factor?

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

Given is a polynomial 2x²+3x-54, we need to find its factors,

So,

Factors :-

= 2x²+3x-54

= 2x²+12x-9x-54

= 2x(x+6)-9(x+6)

= (2x-9)(x+6)

Hence, the factors of the polynomial are (2x-9)(x+6)

Learn more about factors, click;

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Related Questions

Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2

Answers

y=2

PREMISES

y=the expression 19+7/2×6+1 rewritten by including two sets of brackets or parentheses to get a result of 2

CALCULATIONS

To clearly express the mathematical phrase 19+7/2×6+1 to get a result of 2 requires specific parenthetical treatment.

y=19+7/2×6+1 becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=

2

PROOF

If y=2, then the inverse of the phrase (19+7)/(2×6+1) returns

y(2×6+1)=19+7

2(2×6+1)=19+7

2(12+1)=19+7

2(13)=26 and

26=26 proves the solution y=2 to the phrase (19+7)/(2×6+1)

TO BE ANSERED ASAP
If n = 4, then 9ˆ8 ÷ 9 n is equal to__________________.

Answers

Answer:

1,195,742.25 (final answer since instructions did not include rounding up or anything)

Step-by-step explanation:

n = 4

The given expression is:

9^8 ÷ 9n

USE PEMDAS order of operations and solve:

9^8 ÷ 9n

= 43046721 ÷ 9n

Substitue n with 4 and solve:

43046721 ÷ 9(4)

= 43046721 ÷ 36

= 1,195,742.25

Answer:

9^4

Step-by-step explanation:

We know that a^b ÷ a^c = a^ (b-c)

9^8 ÷ 9^4

9^(8-4)

9^4

(2 + 6i)(8 – 9i)

Divide and simp

Answers

Answer:

70+30i

Step-by-step explanation:

Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00

Answers

Answer:

$17,000 at 14% and $9,000 at 2%

Step-by-step explanation:

Let x = amount invested at 14%.

Let y = amount invested at 2%.

x + y = 26000

0.14x + 0.02y = 2560

     -0.02x - 0.02y = -520

(+)    0.14x + 0.02y = 2560

-------------------------------------

       0.12x              = 2040

x = 17,000

x + y = 26000

17000 + y = 26000

y = 9000

Answer: $17,000 at 14% and $9,000 at 2%

Which values are solutions of the quadratic equation 0 = (x + 3)2 – 4? Check all that apply. –5 –4 –3 –1 3 5

Answers

hi

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

= ( x+5) (x +1)

so

solutions are : x+5=0 so x=-5

x+1= 0. so x= -1

solution are -5 +and -1


[tex]( - 12) \times ( - 4) + ( - 8) + ( + 3)[/tex]
could you help..​

Answers

[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]

Hope it helps.

RainbowSalt2222

Tha length of a side of equilateral traingle is give below. find the perimeter of traingles
i. l=4cm
ii. 5.5 cm​

Answers

Answer:

i. 12cm

ii. 16.5cm

Step-by-step explanation:

The side lengths on an equilateral triangle are all equal to each other. So if one side is given we can find the perimeter of the triangle by multiplying one of the sides by 3.

4*3=12

5.5*3=16.5

I don’t really understand this…
Steps:
Calculate MU/P
Compare MUx with MUy
Choose highest MU
Continue until you spend all of your money


Answers

Answer:

In the real world, a consumer may purchase more then one commodity. Let us assume that a consumer purchases two goods X and Y. How does a consumer spend his fixed money income in purchasing two goods so as to maximize his total utility? The law of equi­-marginal utility tells us the way how a consumer maximizes his total utilit

Please help hurry!


Find the lateral surface area of the instant oatmeal container. Round your answer to the nearest hundredth.


SA = in2

Answers

Answer:

≈ 145.23 in²

Step-by-step explanation:

The lateral surface area is:

SA = 2πrh = 2*3.14*2.5*9.25 ≈ 145.23 in²
radius=2.5in=rHeight=h=9.25in=h

[tex]\\ \tt\longmapsto SA=2\pi rh[[/te]

[tex]\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)[/tex]

[tex]\\ \tt\longmapsto SA=145.23in^2[/tex]

Go Which operation would be completed second in the following expression? 7² -3+9+8 dividend by two
Choices:
Subtract
Multiply
divide
Simplify the exponet

Answers

first step: simplify exponents
second step: 49 -3
but the thing is when it’s both addition and subtraction u just go from left to right
hope it helps

Answer:

Divide

Step-by-step explanation:

Using PEMDAS, the first would be parenthesis, but there are none, so we do not use P. Next is E which is exponents, which would be the first thing completed. Then is M and D which is multiplication and division. The division is used which is "dividend by two" as it's the second thing completed.

Hope this helped.

Please help its urgent:

11. A fish tank has dimensions 3 feet by
2 feet by 1.5 feet. Two feet is the
height of the aquarium. If the tank is
not filled all the way and there are
two inches of empty space at the top,
how many cubic inches of water are
in the tank? (7 points) im not sure how to show my work

Answers

I found someone who had the same question as you here’s the answer

Please help I have no idea

Answers

Answer:

38

Step-by-step explanation:

Put 2 in place of q

(34+18×2)-(5^2+7)

(34+36)-(25+7)

70-32=38

SCREAMING HELP ALERT !!

Answers

Answer: 1/3

Step-by-step explanation:

On side of the smaller quadrilateral is 8, the same side on the larger one is 24. 8 times 3 is 24. So the scale factor from the smaller to the larger is 1/3.

Answer:

1/3

Step-by-step explanation:

similar means all sides are proportinal, in this case one side is 3x bigger in the 2nd figure, so the same must be true of the other fig.

PLEASE HELP ASAP PLEASE!!!!!!!
Find the measure of GE.
A. 20
B. 14
C. 15
D. 16

Answers

The answer is C. 15 sksijahahahaiqiwkanjajakakaka

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. What assumptions are necessary for this test to be satisfied

Answers

Solution :

Given data :

x = 65, n = 300

[tex]$\hat p = \frac{x}{n}[/tex]

  [tex]$=\frac{65}{300}$[/tex]

  = 0.2167

The hypothesis are :

[tex]$H_0: p \leq 0.3$[/tex]

[tex]$H_0: p> 0.3$[/tex]

The [tex]\text{level of significance}[/tex], α = 0.05

The test is right tailed.

The standard deviation is :

[tex]$\sigma = \sqrt{\frac{0.3(1-0.3)}{300}}$[/tex]

σ = 0.0265

The test statistics is :

[tex]$z=\frac{\hat p - p}{\sigma}$[/tex]

[tex]$z=\frac{0.2167 - 0.3}{0.0265}$[/tex]

  = -3.14

The critical value is 1.645

The rejection region is : If z > 1.645, then we reject [tex]H_0[/tex]

Decision :

Since the test statistics does not lie in the rejection, so we fail to . [tex]\text{reject the null hypothesis}[/tex].

P-value : [tex]$P(z > - 3.14)$[/tex]   = 0.9992

Therefore, the p-value is not less than the level of significance so we fail to [tex]\text{reject the null hypothesis}[/tex].

(Ight ima need some help!! ) solve the following equation (2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0. solve for x and show work
(2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0

Answers

Answer:

x = [tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

I used the FOIL method

[(2x + 3) (3x + 2)] − [(3x + 2) (2x− 3)] = 0

[tex](6x^{2} +4x+9x+6) - (6x^{2} -9x+4x-6)=0[/tex]

[tex](6x^{2} +13x+6) - (6x^{2} -5x-6)=0[/tex]

[tex](6x^{2} +13x+6) - 6x^{2} +5x+6=0[/tex]

combine like terms

[tex]6x^{2} -6x^{2} = 0[/tex]

[tex]13x+5x=18x[/tex]

[tex]6+6=12[/tex]

so, [tex]18x +12 = 0[/tex]

subtract 12 on both sides

[tex]18x=-12[/tex]

divide by 18 to isolate x

[tex]x=-\frac{12}{18}[/tex]

and simplifies to

[tex]x=-\frac{2}{3}[/tex]

8 thousands÷10= ?
khan academny questions are confusing when you're doing math in the middle of the night

Answers

Step-by-step explanation:

Answer of your question is 800

Factor Z squared minus 3Z -18

Answers

Answer:

z^2-3z-18

=(z^2+3z)+(-6z-18)

=z(z+3)-6(z+3)

=(z+3)(z-6)

ans of this

fast to get 10 pts​

Answers

Answer:

2.equivalent sets is answer.

Expand.
Your answer should be a polynomial in standard form.

Answers

Answer:

-p^4 + 4p^3 - 5p^2 + 8p - 6

Step-by-step explanation:

Distribute the -p^2 to the p^2 and the 2. Then distribute the 4p to the p^2 and the 2. Then distribute the -3 to the p^2 and the 2.

When we expand:

-p^4 - 2p^2

+ 4p^3 + 8p

-3p^2 - 6

Group, ordering from highest to lowest "degree" (exponent).

-p^4 + 4p^3 - 2p^2 - 3p^2 + 8p - 6

Combine like terms.

-p^4 + 4p^3 - 5p^2 + 8p - 6

a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 gallons of gas​

Answers

The answer is 81 < < 105

Explanation: Since the car gets 27 mpg in the city and gets 35 mpg on the highway, you can set it up in the inequality 27 < < 35 and this represents the range a car can drive for 1 gallon, so to find the range for 3 gallons, you multiply this inequality by 3.

27(3)<<35(3)
27(3)=81
35(3)=105

Then you can insert the numbers into the inequality to get 81<<105.

|Large{\frac {x}{x + 3} = \frac {5}{2}}

Answers

Answer:

x=-5

Step-by-step explanation:

[tex]\frac{x}{x+3} =\frac{5}{2} \\5x+15=2x\\5x-2x=-15\\3x=-15\\x=-15/3=-5[/tex]

1.Find x,y and z in the figure. 2. find the x and y in the figure ​

Answers

[tex]\\ \sf\longmapsto x+2x+90=180[/tex]

[tex]\\ \sf\longmapsto 3x+90=180[/tex]

[tex]\\ \sf\longmapsto 3x=180-90[/tex]

[tex]\\ \sf\longmapsto 3x=90[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{90}{3}[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

Now

[tex]\\ \sf\longmapsto x=2y[/tex](Opposite interior angles)

[tex]\\ \sf\longmapsto 2y=30[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{30}{2}[/tex]

[tex]\\ \sf\longmapsto y=15[/tex]

And

[tex]\\ \sf\longmapsto x+z=180[/tex]

[tex]\\ \sf\longmapsto z+30=180[/tex]

[tex]\\ \sf\longmapsto z=180-30[/tex]

[tex]\\ \sf\longmapsto z=150[/tex]

Answer:

Figure 1

Straight angle is 180°:

2x + 90° + x = 180° ⇒ 3x = 90° ⇒ x = 30°

Alternate interior angles are congruent:

2y = x ⇒ 2y = 30° ⇒ y = 15°

Consecutive interior angles are supplementary:

x + z = 180° ⇒ z = 180° - 30° ⇒ z = 150°Figure 2

Alternate interior angles:

3x = 5x - 20° ⇒ 2x = 20° ⇒ x = 10°

Sum of interior angles of a triangle:

2y + 4y + 5x - 20 = 180° ⇒ 6y + 5*10° = 200° ⇒ 6y = 150° ⇒ y = 25°

What is the value of a?

Answers

Answer:

90

Step-by-step explanation:

Use angle-arc relation,

For a and 45, Inscribed angle's relation can be utilized

Inscribed angle=Half the arc

45=1/2a

Therefore, a=90

eexpres -25/60 as a rational number whose denominator is -12​

Answers

Answer: 5/-12

Explanation

Divide both the denominator and the numerator by -5 to obtain the denominator of -12 and the numerator of 5.

5/-12

Hope this helps :)

Determine the perimeter of the following figure
pls help! ill mark brainliest

Answers

Answer:

Step-by-step explanation:

Use Pythagorus to find the length of the unmarked length

c^2 = a^2 + b^2

a = 5

b = 17 -10 = 7

c = ?

c^2 = 5^2 + 7^2

c^2 = 25 + 49

c = sqrt(74)

c =8.602

P = 5 + 10 + 17 + 8.602

P = 40.602

Solve the problem below where X=4 3X+7=

Answers

X = 4×3 X + 7

Resultado

X = 12 X + 7

Forma alternativa

-11 X - 7 = 0

X = -7/11

Answer: 19

Explanation: 3 x 4 + 7 = 19

-6>t-(-13)
slove for the inequality

Answers

Answer:

-19>t

Step-by-step explanation:

-6>t-(-13)

-6>t +(13)

Subtract 13 from each side

-6-13 > t+13-13

-19>t

Evaluate Equation Below
Please help!

Answers

Answer:

2nd answer

Step-by-step explanation:

4x^3+2

4*(-1)^3+2

4*(-1)+2

-4+2

-2

Answer: -2

Step-by-step explanation:

Replacing x for -1 would make the equation [tex]4(-1^3)+2[/tex]. Knowing PEMDAS, we know that the parentheses goes first. [tex]-1^3[/tex] means that we need to multiply -1 by itself 3 times ([tex]-1*-1*-1[/tex],  * equals "times"). [tex]-1*-1=1[/tex] so [tex]1*-1=-1[/tex]. Now our equation is [tex]4(-1)+2[/tex].    [tex]4*-1=-1[/tex] and -4 + 2 = -2. Hope this explanation helps :)

Marry can read 22 pgs in 30mins .How long wud it take her to read a 100 page book??write your answer in hours and minutes and round it to the nearest minute??​

Answers

Step-by-step explanation:

This is a proportions problem:This is a proportions problem: This is a proportions problem: 22 pages → 30 minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/xThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x ThenThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then x = (100/22)(30) minutes = 136.4 minutes.
Divide 30 into 22 witch would give y 1.4 or 1.36. 1.4 is how much time the person takes to read a page. Now multiply 1.4 with 100 and it should give you 140mins if you divide by 60 it would give you 2.3 hours.
Other Questions
how do you give cpr? PLEASE HELP ASAPBarney was a very inventive scientist and tried to perform the same experiments as those by famous scientists from long ago. One of the most challenging experiments was to roll out a very thin film of gold and put X-ray film in a circle around it. The difficult part was to get ahold of some radioactivity that he could shoot at the thin film for gold. One day, he ran into The Great Gazoo and told him his goal. The Great Gazoo said he had the perfect substance for him that was radioactive and should work. The element was named after him and had the symbol Gz. Barney quickly went back to his lab to run the experiment. What Barney noticed is that all the radioactive particles went through the gold film and none of them ricocheted back, but all went straight through the gold. Being puzzled, he quickly went to the lab to analyze this unknown radioactive substance. He found that the atomic number was 119, the mass number was 305. After a few more tests, Barney realized what was wrong with Gz. Your task is to figure out what was wrong with Gz by answering the following questions:Whose experiment was Barney trying to imitate?Where would Gz be located on Earths periodic table, column and row?Give as many details on Gz that you could predict based on its location on the periodic table: type of chemical (metal, metalloid, or nonmetal), reactivity, ionization energy, electronegativity, and size of element.What would the elements electron configuration end in?Why did all the radioactive particles go straight through the gold film?What would the daughter product be for Gz? Give all details for the atomic number, mass number, number of protons, neutrons and electrons.If Gz had worked correctly, like Barney intended, what type of decay should Gz have had?If Gz had worked correctly, what would the daughter product be? Give all details for the atomic number, mass number, number of protons, neutrons and electrons.If Gz had worked correctly, what element would it become? Find a if ZB = 25, ZC = 48, AC = 5. You have a portfolio that is 29 percent invested in Stock R, 12 percent invested in Stock S, with the remainder in Stock T. The expected return on these stocks is 9.8 percent, 11.2 percent, and 13.5 percent, respectively. What is the expected return on the portfolio Which of the following are examples of single replacement reactions? Select all that apply. The third if may is One of the greatest testament to the ___ ever painted Emotional use of tenebrism Horrors of warGlory of warCivic dutyWILL GIVE BRAINLIEST In one of the case studies in the textbook, Jerry Harkanell worked as an administrative assistant for a large San Antonio hospital, where his clerical duties included the submission of the payroll information for his unit. He found that he could add hours to the timesheets and receive extra pay. He continued to alter his timesheets until he was finally caught. What red flag was present that should have made someone suspicious Changing which of the following can reduce anger?A)diet B) Sleeping scheduleC)Communication styleD)Stimuli causing the anger How to write this sum 24,6 in expanded notation Find the measure of the missing angles. Temperature is measured in degrees C whereas heat is measured inJmtq If theres not enough water in the place, just move people out. Is it a good idea? Explain your answer? Using examples that President Obama (the senator Obama) used in the video clip, how does the War Powers Act depict the principle of checks and balances? find the angle measures given the figure is a rhombus. Help with this Area question describe how thin layer chromatography is used in the isolation and extraction of lipids We have that 2a+1=1 and b-a=1. What is the value of b? what weight is recorded by a scale when it is placed inside a lift which is in free fall? Enplain. Two streams merge to form a river. One stream has a width of 8.3 m, depth of 3.2 m, and current speed of 2.2 m/s. The other stream is 6.8 m wide and 3.2 m deep, and flows at 2.4 m/s. If the river has width 10.4 m and speed 2.8 m/s, what is its depth? What one word best describes how you usually feel aboutschool?