solve the simultaneous equation
3x + y = 8
x - 3y = 11

Answer:

121/144

Step-by-step explanation:

The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (x² + 3x + 2) × (2x² + 3x + 1)

Simplify the equation, then we have

⇒ (x² + 3x + 2) × (2x² + 3x - 1)

⇒ x²(2x² + 3x - 1) + 3x(2x² + 3x - 1) + 2(2x² + 3x - 1)

⇒ 2x⁴ + 3x³ - x² + 6x³ + 9x² - 3x + 4x² + 6x - 2

⇒ 2x⁴ + 9x³ - 12x² + 3x - 2

The value of the expression (x² + 3x + 2) × (2x² + 3x - 1) will be 2x⁴ + 9x³ - 12x² + 3x - 2.

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Answer:

the pitch of the roof is 24ft²

Step-by-step explanation:

Formula: 1/2(b×h)

Given: b=4, h=12

> 1/2(4×12)

> 1/2(48)

> 24

Answer:

      A ✔

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Easy as

9,4

2,4

4-4 0 Distance

9-2

7 distance

Hope this helps!

Answer: 4/10 + 1/5 = 0.6 and  4/10 - 1/5 = 0.2.

Step-by-step explanation:

1. Convert the fractions into decimals by dividing the numerator(the number to the left or top of the fraction) by the denominator(the number to the right or bottom of the fraction.

2. For the first question, add the two decimals to get your answer. For the second question, you subtract. 0.4-0.2.

Answer and Step-by-step explanation:

To find the third side, we can use the Pythagorean Theorem.

The theorem states that if a triangle is a right triangle, and we already have two sides, we are able to find the third side.

The Pythagorean Theorem Formula is the following:

[tex]A^2+B^2=C^2[/tex]

A is any of the bases

B is the other base (you can make this the height)

C is the hypotenuse (the longest side)

We are given B and C, so lets plug them into our formula and solve for A.

[tex]A^2 + (4\sqrt{3} )^2=8^2[/tex]

Subtract [tex](4\sqrt{3} )^2[/tex] from both sides of the equation.

[tex]A^2=8^2 - (4\sqrt{3} )^2[/tex]

Now take the square root of both sides of the equation.

[tex]A=\sqrt{8^2 - (4\sqrt{3} )^2}[/tex]

Now plug this into your calculator and solve.

We get the answer to be:

4

#teamtrees #PAW (Plant And Water)

I hope this helps!

________

[tex] \: [/tex]

a² = c² - b²

a² = 8² - (4√3)²

a² = 64 - 48

a² = 16

a = √16

a = 4

Answer:

y=5x-14

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

10x+1=12x-5

1+5=12x-10x

6=2x

6/2=2x/2

3=x

Answer:

y=2x+8

Step-by-step explanation:

Hope this helps! :)

Answer:

x=7

Step-by-step explanation:

Because im right

Answer:

use trial and error

Step-by-step explanation:

lma0

Answer:

d= negative 16

Step-by-step explanation:

Answer:

0.1(d-6)=0.15d+2.5-1.5+0.05d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

a + b + c = 80

Express a and c in terms of b using the ratios in fractional form, that is

[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3a = 2b ( divide both sides by 3 )

a = [tex]\frac{2}{3}[/tex] b

[tex]\frac{b}{c}[/tex] = [tex]\frac{3}{11}[/tex] ( cross- multiply )

3c = 11b ( divide both sides by 3 )

c = [tex]\frac{11}{3}[/tex] b

Substitute the values for a and c into the original equation

[tex]\frac{2}{3}[/tex] b + b + [tex]\frac{11}{3}[/tex] b = 80 ( multiply through by 3 to clear the fractions )

2b + 3b + 11b = 240 , that is

16b = 240 ( divide both sides by 16 )

b = 15 → G

9514 1404 393

Answer:

  x = 21

  y = 60

Step-by-step explanation:

We assume the marks are angle measures.

The angles of a linear pair are supplementary:

  (3x +5) +(6x -14) = 180

  9x -9 = 180 . . . . simplify

  9x = 189 . . . . . . add 9

  x = 21 . . . . . . . divide by 9

__

At parallel lines, corresponding angles are congruent.

  y +8 = 3x +5 = 3(21) +5 = 68

  y = 60 . . . . . subtract 8

x=2

Step-by-step explanation:

is a equation is simple

Answer:

Which expression is equal to “8 less than the product of y and 9"'?​

Step-by-step explanation:

Answer:

the graph does represent a function

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

By carefully observing the figure shown:

<MSR is vertically opposite to <NST

Vertically opposite angles are equal

m<NST  =  (17x  +  15)

<NST is alternative to <PTS

Alternative angles are equal

Therefore, m<NST  =  m<PTS

m<NST = 17x + 15

m<PTS  =  19x + 5

17x  +  15   =  19x  +  5

19x  -  17x =  15  -  5

2x   =  10

x   =  10/2

x   =  5

m<NST  =  17x + 15

m<NST  =  17(5)  +  15

m<NST  =  100°

Since m<MSR  =  m<NST

m<MSR   =  100°

m<PTS  =  19x + 5

m<PTS  =  19(5)  +  5

m<PTS  =  100°

m<PTS  +  m<STQ  =  180° (Sum of angles on a straight line)

100   +  m<STQ   =  180

m<STQ   =  180 - 100

m<STQ   =  80°

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

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Answer: V/D = T

Step-by-step explanation:

Answer:

every 1 candy bar sold she earned 0.65 cents

Step-by-step explanation:

Answer:

35.75$/55=0.65$

Step-by-step explanation:

Answer:

Step-by-step explanation:

This function has a minimum value at vertex (3, -1) and maximum value is infinity.

Answer:

Explanation:

The number 43 is basically 40+3

We read "43" as "forty three", in which you can think of having 40 and then an additional 3 on top of that to get 40+3 = 43 overall.

As for the decimal portion, we do the same sort of thing.

The 0.205 breaks up into 0.2 + 0.005

0.2 = 2 tenths

0.005 = 5 thousandths

So that's why 43.205 breaks down into 40+3+0.2+0+0.005; each place value digit corresponds to a term in that expanded sum.

Answer:

.

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

first you distribute the two on the left side of the equation and get 2x+10= -10x+34. Then add 10x to both sides of the equation to get 12x+10=34. Then subtract 10 from both sides of the equation to get 12x=24. finally divide both sides of the equation by 12 and get x=2

Answer:

75

Step-by-step explanation:

Let n be the unknown number

Answer:

the number is 49

Step-by-step explanation:

first, write an equation based on the words

4 increased by= 4+

three fifths of a number = [tex]3/5 * n[/tex]

is 49: =49

now, put it together: [tex]4 + 3/5*n=49[/tex]

Now, solve

4 + 3/5*n=49

4-4=0   49-4= 45

3/5*n=45

3/5*n / 3/5= n    45/ 3/5= 75

n=75

hope this helps:)

please crown me brainliest!!!

15 is 30% of 50. This is found by setting up a proportion: 15/50 = Percent/100, solving for Percent gives 30.

Let's call the part we're trying to find the percent of the "portion."

Portion = 15 (the value you want to find the percent of)

Total = 50 (the total value or whole)

Set up the proportion.

The ratio of the portion to the total as a percent, so we can set up a proportion:

Portion / Total = Percent / 100

Plug in the values.

Portion / 50 = Percent / 100

Solve for the percent:

Portion × 100 = 50 × Percent

Divide both sides by 50:

Percent = (Portion × 100) / 50

Calculate the percent:

Percent = (15 × 100) / 50

Percent = 1500 / 50

Percent = 30

Therefore, 15 is 30% of 50.

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Answer:

5 plus 15 is 20 and then subtract 10 it will become 10 then add 20 it became 30 then subtract 15 it will become 15 then add 25 to 15 answer 40

Step-by-step explanation:

the numbers are repeated again and again like we added 5 to 15 we got 20

then later we added 20 to 10 it became 30