Which is a factor of: 2x^2+2x−12 ?

Answer:

2x⁴ - 20x² - 78

To factor the expression look for the LCM of the numbers

LCM of the numbers is 2

Factorize that one out

That's

2( x⁴ - 10x² - 39)

Hope this helps

Answer:

2(x² + 3)(x² - 13)

Step-by-step explanation:

2x⁴ - 20x² - 78

Factor out 2.

2(x⁴ - 10x² - 39)

Find 2 numbers that multiply to get -39 and add to get -10. Those numbers are -13 and 3.

2(x⁴ - 13x² + 3x² - 39)

2(x² + 3)(x² - 13)

Answer:

Question 1:

a. The answer is B because the graph inclined really quickly and then it inclined at a much slower pace, suggesting that the person was running and then walking.

b. The answer is C because you can see on the graph that after a while, the distance from the starting point goes back to 0, indicating that the person forgot something at home.

Question 2:

a. The dashed line reaches the bottom at 15:30 so the answer is C.

b. Siobhan travels 8 km to go from home to school so the answer is 2 * 8 = 16 which is option D.

Question 3:

The answer is C because after the distance from the starting point increased, it then decreased and came back to the original point suggesting that he walked, turned around and walked back to the starting point.

Answer:

first page : a) A because it is the shortest time with no stop

b) C the graph goes up and return to the start point after a while

second page : it is at 3:30 0r 15:30

b): 8 km going to schools and 8 coming back is 16

third page it is C because he walk up a certain distance and come back to the starting point

Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Given the following :

DETERGENT A:

48 fluid ounces

Cleans 16 loads of dishes

DETERGENT B:

76 fluid ounces

Cleans 38 loads of dishes

DETERGENT A:

Fluid ounces per load :

48 / 16 = 3 (3 fluid ounce per load)

DETERGENT B:

Fluid ounce per load :

76 / 38 = 2 ( 2 fluid ounce per load)

3 - 2 = 1 fluid ounce per load.

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Answer:

The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.

Step-by-step explanation:

In function f(5), f(5) means the value of the function at x = 5.

Answer:

The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.

Answer:

The expression h(-7) represents the output of h corresponding to the input of -7.

Step-by-step explanation:

...

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

Answer:

see explanation

Step-by-step explanation:

(b)

The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is

x = - 1 and x = 3

(c)

f(0) is the point on the y- axis where the graph crosses, that is 3, thus

f(0) = 3

Answer:

2.95x+39.95(12).

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

B. 3\sqrt(x)-2

Step-by-step explanation:

A polynomial cannot have a variable in the denominator

A constant is a polynomial

3\sqrt(x)-2 and this cannot be simplified to get rid of the variable in the denominator so it is not a polynomial

Answer:

(3.26795, 6.73205)

(6.73205, 3.26795)

Step-by-step explanation:

Easiest and fastest way to get your solutions is to graph the systems of equations and analyze the graph for where they intersect.

Answer:

169=169

Step-by-step explanation:

The pythagoras theorem states that if

[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]

Then the triangle is a right triangle

So

[tex]{5}^{2} + {12}^{2} = {13}^{2} [/tex]

[tex]25 + 144 = 169[/tex]

[tex]169 = 169[/tex]

Therefore A is a right triangle

Answer:

Step-by-step explanation:

now the longest edge is 13 cm so : 13²must be equal to 5²+12²

so this triangle must be right angled

Answer:

C. x>4

Step-by-step explanation:

3/(x-4) > 0

3>0, so

x-4 >0

x > 4

Answer:

x = 5/3 or x = -3

Step-by-step explanation:

3x² + 4x - 15 = 0

Factor left side.

(3x - 5)(x + 3) = 0

Set factors equal to 0.

3x - 5 = 0

3x = 5

x = 5/3

x + 3 = 0

x = -3

Answer:

x = -3             OR         x = 5/3

Step-by-step explanation:

=> [tex]3x^2+4x-15 = 0[/tex]

Using mid term break formula

=> [tex]3x^2+9x-5x-15 = 0[/tex]

=> 3x(x+3)-5(x+3) = 0

Taking x-3 common

=> (x+3)(3x-5) = 0

Either

x+3 = 0         OR       3x-5 = 0

x = -3             OR         x = 5/3

Answer: $27.825

Step-by-step explanation:

From the question, we are informed that Robert want to buy a sports cap that is on sale for 25% off and the original price is 35$. This means the price of the sports car will be:

= Original price - Discount

= $35 - (25% × $35)

= $35 - (0.25 × $35)

= $35 - $8.75

= $26.25

We are further told that there is a sales tax of 6%. The amount that Robert will need to pay for the cap will be:

= $26.25 + (6% × $26.25)

= $26.25 + (0.06 × $26.25)

= $26.25 + $1.575

= $27.825

Answer:

27.83

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

dashed line above the shaded area, shaded area below dashed boundary line

Answer:

a. Domain = All real numbers

Range = y ≥ 2

b. Domain = -4 < x ≤ 4

Range = 0 ≤ y < 4

Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have

[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]

We have everything we need to calculate the volume of the cone.

[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]

If we want to get the approximate volume, we must use the approximation of the number π.

[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]

[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]

Answer:

The person above me is wrong, the answer is 3

Step-by-step explanation:

I got it right on the test

Answer :

Answer

y= 12.5x + 210,000

Step-by-step explanation:

This is a linear function because it is increasing constantly by 12.5 percent so it will me written as y=mx+b

The value of function that represents the situation is,

⇒ P = 210,000 (1.125)ⁿ

Where, n is number of years.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The situation is,

⇒ A population of 210,000 increases by 12.5% each year​.

Now, Let number of years = n

Hence, The value of function that represents the situation is,

⇒ P = 210,000 (1 + 12.5%)ⁿ

⇒ P = 210,000 (1 + 0.125)ⁿ

⇒ P = 210,000 (1.125)ⁿ

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Answer:

(6,2)

Step-by-step explanation:

y=-1/2x+5

y=2x-10​

-1/2 x+5 =2x-10  to find the solution y=y ( point of intersection of two lines)

-1/2 x-2x = -10-5 solve for x

-5/2 x=-15

x=-30/-5=6

y=2x- 10 substitute  x in the equation to get y

y=2(6)-10

y=2

(2,3)

Dont put the other answer, it’s wrong I

did the math.

Answer:

[tex] \frac{105}{4} [/tex]

please see the attached picture for full solution..

hope it helps...

Good luck on your assignment..

Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

Amad had done no error. His conclusion is true.

Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.

For example,

In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.

Sides: AB = PQ, BC = QR and AC = PR;

Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.

Therefore, Δ ABC ≅ Δ PQR

The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.

As, from the given cases the prediction of congruency of two triangles is correct. There is no error he made.

Hence, Amad had not made any error.

Learn more about congruency here:

https://brainly.com/question/14011665

#SPJ2

Answer:

a) 0.3.

b) 1.

Step-by-step explanation:

Note: The scale of probability is not given properly. So, the probability of following events are given below:

It is given that,

Total number of sweets in a bag = 10

Red sweets = 4

Green sweets = 2

Yellow sweets = 3

Purple sweet = 1

a)

We need to find the probability of choosing a yellow sweet.

[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(Y)=\dfrac{3}{10}[/tex]

[tex]P(Y)=0.3[/tex]

Therefore, the probability of choosing a yellow sweet is 0.3.

b)

We need to find the probability of choosing a sweet that is not orange.

[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(O')=1-\dfrac{0}{10}[/tex]

[tex]P(O')=1[/tex]

Therefore, the probability of choosing a sweet that is not orange is 1.

Probabilities are used to determine the chances of events.

The probability scale is not given; so, I will give a general explanation.

The given parameters are:

[tex]Red = 4[/tex]

[tex]Green = 2[/tex]

[tex]Yellow= 3[/tex]

[tex]Purple = 1[/tex]

[tex]Total = 10[/tex]

(a) The probability of choosing a yellow sweet

This is calculated using:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{3}{10}[/tex]

Divide 3 by 10

[tex]P(Yellow) =0.3[/tex]

Hence, the probability of choosing a yellow sweet is 0.3

(b) The probability of choosing a sweet that is not orange

This is calculated using:

[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]

So, we have:

[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]

Divide 0 by 10

[tex]P(Not\ Orange) = 1 - 0[/tex]

[tex]P(Not\ Orange) = 1[/tex]

Hence, the probability of choosing a sweet that is not orange is 0

Read more about probabilities at:

https://brainly.com/question/251701

Answer:

For the drop down menu:

i) x + y

ii) z²

iii) ½ xy

The complete question related to this found on brainly (ID:16485977) is stated below:

Mario writes the equation (x+y)² = z² +4( 1/2 xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.

_____finds the area of the outer square by squaring its side length.

_____finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

Find attached the diagram of the question.

Step-by-step explanation:

Pythagoras theorem is a formula that shows the relationship between the sides of a right angled triangle.

Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

From the diagram of the question.

Hypotenuse = z

Opposite = y

Adjacent = x

z² = x² + y²

Area of outer square = area of inner square + 4(area of triangles)

area of inner square = length² = (x+y)²

Expanding area of the outer square:

(x+y)² = (x+y)(x+y) = x²+xy+xy+y²

(x+y)² = x²+y²+2xy

= z² + 2xy

Area of inner square = length² = z²

Area of triangle = ½ base × height

= ½ × x × y = ½ xy

Area of outer square = area of inner square + 4(area of triangles)

(x + y)² = z² + 4(½xy )

Therefore, it is a true equation.

( x + y )² finds the area of the outer square by squaring its side length.

z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

So for the drop down menu:

i) x + y

ii) z²

iii) ½ xy

Answer:

y = -31x^6 - 87^3 +46x +12

Step-by-step explanation:

Place the numbers with the highest degree first (-31 x ^ 6) and go in order until you reach the number with the lowest degree (12). When you do that, you get:

y = - 31x^6 - 87x^3 + 23x^2 - 23x^2 + 46x +12

As you can see, the numbers based on the amount of their exponent were placed in order, no matter what the coefficient is. But, there are two numbers with ^2, so we have to cancel them out. In order to do that, you have to add/ subtract the two numbers with the same exponent.

23x^2 - 23x^2 = 0

Since the answer is 0, we canceled both of the numbers out, so the final polynomial in its standard form is:

y = -31x^6 - 87^3 +46x +12

Hope this helps :)

Answer:

y = -31x^6-87^3+46x+12

Step-by-step explanation:

put the exponents in order and cancel out the 23x^2s.

Answer:

this is ur answer so memories

Answer:

c  ≥ -5

Step-by-step explanation:

-5c +2 ≤ 27

Subtract 2 from each side

-5c +2-2 ≤ 27-2

-5c ≤25

Divide by -5, remembering to flip the inequality

-5c/-5 ≥25/-5

c  ≥ -5

Answer: [tex]x\geq 5[/tex]

Step-by-step explanation:

[tex]-5x+2\leq 27\\Subtract\\-5x\leq 25\\Divide\\x\geq 5[/tex]

It's important to remember that when you divide both sides of an inequality by a negative number to flip the sign.

Hope it helps <3

Answer:

y = 5  1/4

Step-by-step explanation:

For direct or inverse variation relation

relation between two variable and y can be expresses in form of

y = kx  where k is constant of proportionality .

Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality

__________________________________

Thus, let the inverse relation be

y = kx

given

when y = 6 then x = 8

we will plug this value in y = kx

6 = k*8

=>k = 6/8 = 3/4

Thus,

relation is

y = 3/4 x

we have to find y when x = 7 ,

lets put x = 7 in y = 3/4 x

y = 3/4 *7 = 21/4 = 5 1/4

Thus, when x = 7 then y = 5 1/4