Quadratic Equation

The sum of the ages of two friends is 13 years and the product
of their ages is 42. Find their ages.​

Answer:

Monique made an error when writing the factored expression

Step-by-step explanation:

Monique's work:

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (0 + 4 y)

Correct working:

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (1 + 4 y)

Therefore, Monique made an error when writing the factored expression

Check:

4x(1 + 4y)

Opening bracket

4x + 16xy

The answer is D the guy above me corretc

This question is incomplete

Complete Question:

The trail around Mirror Lake in Yosemite National Park is 5 miles long.

The tables below show the fraction of miles each hiked:

Hiker Fraction of miles hiked

Andrea 2/5

Jon 1/2

Callie 4/5

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

Answer:

9. 1/10

10. 3/10

Step-by-step explanation:

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked

1/2 - 2/5

= The Lowest Common Denominator is 10

= [(5 × 1) - (2 × 2)] /10

= [5 - 4] /10

= 1/10

The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

This is calculated as the number of miles Callie hiked - The number of miles Jon hiked

4/5 - 1/2

= The Lowest Common Denominator is 10

= [(4 × 2) - (1 × 5)] /10

= [8 - 5] /10

= 3/10

The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10

Answer:

D(-7,-2)

Step-by-step explanation:

A(-4,3)  B(5,-1)  C(-2,-6)    D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C:  -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

    5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes

Answer:

Should be the third one

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72 |•-•|

Answer: I think it’s the 3rd one.

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72

Hope it helps, have a great day!

Answer:

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Answer:

She went a total of 5/6 of a mile around the track

Step-by-step explanation:

Here, we want to calculate the distance around the track travelled

From the question, we are told that she ran 9/12 of a mile and skipped 1/12

So the total distance covered will be;

9/12 + 1/12 = 10/12 = 5/6

Answer:

5.8/8=0.725

Rounded number: 0.7

Step-by-step explanation:

Estimate 6/8=0.75

6 because 5.8 rounded to a whole number=6

Answer:

257.143 Euros/kg

Step-by-step explanation:

Esto se calcula como:

700 kg = 180.000 euros

1 kg = x euros

Cruz multiplicar

700 kg × x = 180.000 euros × 1

x = 180.000 euros / 700 kg

x = 257,14285714 Euros / kg

x = 257.143 Euros / kg

El precio por kilogramo de este tramo de la Torre Eiffel es de 257.143 Euros / kg

Answer:

Option C

Step-by-step explanation:

Locate the two points on the graph

Answer

ok the correct answer is c

Step-by-step explanation:

its the only answer that has points on the graph

ur welcome;)

Answer: yes it is proportional

Step-by-step explanation:

I did it on khan

Answer:

m = 12h

Step-by-step explanation:

Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.

So that;

m = 12h

Thus if Bill works for 6 hours, his amount of money would be;

m = 12 (6)

   = 72

m = $72

Bill would make $72 after working for 6 hours.

Answer:

B is the answer

Step-by-step explanation:

annapurna suppliers to sagarmatha suppliers ,

SP = (100+10)%of 497200

=110/100 * 497200

SP = RS. 546920

VAT 1 = 13% OF 546920

= RS. 71099.6

SAGARMATHA SUPPLIERS TO CONSTRUCTOR,

CP=RS.546920

TC=RS.10000

PROFIT =RS. 30000

LT =RS. 20000

SP = RS. 60000

VAT=13%

VAT 2 = 13% OF 60000

= RS. 7800

final price with VAT = 7800+ 546920+71099.6

=RS. 625819.6

Final cost is 36463.6 and VAT end profit is 3646.36.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given

Material cost = 497200

10% profit = [tex]\frac{10}{100}[/tex] × 497200

= 49720

13% VAT = [tex]\frac{13}{100}[/tex] × 49720

= 6463.6

Hence, Final cost  = 6463.6 + 10000 + 20000

= 36463.6

VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6

= 3646.36

Hence, Final cost is 36463.6 and VAT end profit is 3646.36.

Find out more information about percentage here

https://brainly.com/question/24159063

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Answer:

DEMANDE  A  TON PERE LE CHAUVE PETIT ZGUEGUE

Step-by-step explanation:

Answer:

graph c

Step-by-step explanation:

Given

| - 2x | = 4

The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is

- 2x = 4 or - (- 2x) = 4

Solving both

- 2x = 4 ( divide both sides by - 2 )

x = - 2

or

- (- 2x) = 4

2x = 4 ( divide both sides by 2 )

x = 2

The third graph indicates x = - 2 and x = 2 on the number line

Answer:

400 lira

Step-by-step explanation:

Yukarıdaki sorudan şunu söyleriz: Bir satıcı, sattığı her ürün için satış fiyatının 2 / 9'u kadar kar eder.

Dolayısıyla 1800 liraya televizyon satarsa ​​o televizyondan elde ettiği kâr şöyle hesaplanır:

2/9 × 1800 lira

= 400 lira

Answer:

188 yards

Step-by-step explanation:

Given

Length of one balloon = 12 feet

Since 1 foot = 1/3 yards

12 feet = x

Cross multiply

1 * x = 1/3 * 12

x = 12/3

x = 4 yards

Hence one balloon will be 4 yards long.

If one balloon = 4 yards long

47 balloons = y

Cross multiply;

1 * y = 4 * 47

y = 188yards

Therefore Cesar will need 188 yards of string for 47 ballooons

Answer:

Please check the explanation.

Step-by-step explanation:

a)

A sequence is defined by the term-to-term rule such as

[tex]U_{n+1}=U^3_n+2[/tex]

Given that

[tex]U_0=-3[/tex]

Substituting n = 0 to determine u₁

[tex]U_{0+1}=U^3_0+2[/tex]

[tex]U_1=U^3_0+2[/tex]

substituting [tex]U_0=-3[/tex]

[tex]U_1=\left(-3\right)^3+2[/tex]

[tex]U_1=-27+2[/tex]

[tex]U_1=-25[/tex]

Therefore,

b)

[tex]U_{n+1}=U^3_n+2[/tex]

Substituting n = 1 to determine u₂

[tex]\:U_{1+1}=U^3_1+2[/tex]

substituting [tex]U_1=-25[/tex]

[tex]U_2=\left(-25\right)^3+2[/tex]

[tex]U_2=-15625+2[/tex]

[tex]U_2=-15623[/tex]

Therefore,

[tex]U_2=-15623[/tex]

Answer:

Standard Form:

[tex]y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]

Another Form:

[tex]y = (x - 1)^{3} - 3[/tex]

Step-by-step explanation:

The type of graph or function is called Cubic Function

The type of graph is represented by the equation of y = a(x-h)³+k

Thus our equation for the graph is

[tex]y = {(x - 1)}^{ 3} - 3[/tex]

In case if you want standard form.

Simplify the expression.

[tex](x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} [/tex]

[tex]y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]

Answer:

A linear pair is a adjacent angles formed when two lines

interset.

Answer:

y = - 0.05x - 1.9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 20x ← is in slope- intercept form

with slope m = 20

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{20}[/tex] = - 0.05 , thus

y = - 0.05x + b ← is the partial equation

To find b substitute (2, - 2) into the partial equation

- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9

y = - 0.05x - 1.9 ← equation of perpendicular line

Given:

The product of a particular number is 65.

Second value is given by the sum of 8 and the original number.

To find:

The unknown number.

Solution:

Let x be the unknown number.

Then, second number = x+8

The product of a particular number is 65.

[tex]x\times (x+8)=65[/tex]

[tex]x^2+8x=65[/tex]

[tex]x^2+8x-65=0[/tex]

Splitting the middle term, we get

[tex]x^2+13x-5x-65=0[/tex]

[tex]x(x+13)-5(x+13)=0[/tex]

[tex](x-5)(x+13)=0[/tex]

Using zero product property, we get

[tex]x-5=0[/tex] and [tex]x+13=0[/tex]

[tex]x=5[/tex] and [tex]x=-13[/tex]

So, the unknown number is either 5 or -13.

Therefore, the correct option is B.

Answer:

[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]

Step-by-step explanation:

In order to solve this function, we must first start by writting the factors of the polynomial. We can do so by including the given zeros, and the leading coefficient. So we get:

[tex]f(x)=1(x-4)(x-2)(x-9)(x+5)^{3}[/tex]

and now we can expand this by multiplying the given parenthesis, so we get:

[tex]f(x)=(x^2-2x-4x+8)(x-9)(x^3+3(5)x^{2}+3(25)x+125)[/tex]

[tex]f(x)=(x^2-6x+8)(x-9)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=(x^3-9x^2-6x^2+54x+8x-72)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=(x^3-15x^2+62x-72)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=x^6+15x^5+75x^4+125x^3-15x^5-225x^4-1125x^3-1875x^2+62x^4+930x^3+4650x^2+7750x-72x^3-1080x^2-5400x-9000[/tex]

we combine like terms so we get:

[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]

Answer:

−1/2c+4

Step-by-step explanation:

Combine Like Terms:

−1/2c+26+−22=(−1/2c)+(26+−22)=

−1/2c+4

Hope this helped :)

Answer:

-21

Step-by-step explanation:

after -22 there comes-21 so successor of-22 is -21

Answer:

d = 10units

Step-by-step explanation:

The question is incomplete. Find the complete question attached

The formula for calculating the distance between two points is expressed by the formula;

d = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points (-4, 2) and (4, -4)

d = √(4-(-4))²+(-4-2)²

d = √(4+4)²+(-6)²

d = √(8)²+(-6)²

d = √64+36

d = √100

d = 10

Hence the distance between the points DE is 10units

Answer:

Oxygen gas causes a glowing splint to continue burning. If you observe a gas forming, test for its identity by inserting a glowing wood splint into the mouth of the test tube. Light the splint and then blow out the flame, leaving a glow.

Answer:

c)

Step-by-step explanation:

x - 2 ---------------> members in the band with the absentees.

So, x will give the number of members in the band