Im currently in Algebra 2
This is supposed to be a substitution method problem.
2x-2y=2 and x-3y=6

Answer:

Step-by-step explanation:

A reflection over the y-axis turns (x, y) to (-x, y), so the coordinates of Q' are (4, -8).

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

45 Degrees

Step-by-step explanation:

CEA and DEB are equal and AEF and BEG are equal hence 25+20 is 45

Step-by step explanation:

             Statement                                              Reason                  

⇒ ∠AEC + ∠AEF = x

Substitute the values to find x.

Answer:

Step-by-step explanation:

1) 2x+ 4 = 10

2x = 6

x = 3 (3 is the answer)

2) we have to substitute y with 3 and z with 4

3.75*3 + 6.50*4 ≥ 50

11,25 + 26 ≥ 50

37.25 ≥ 50

so the answer is no, because the total will be $37.25

3)  12k + 2 < 12

12k < 10

k < 5/6

3/4 < 5/6  so the answer is true

4) we have to try the options

a)  3*4 + 4*2 + 6 = 26

12 + 8 + 6 = 26

26 = 26 (true)

b) 3*5 + 4*6 + 6 = 26

15 + 24 + 6 = 26

45 = 26 (false)

c) 3*4 + 4*3 + 6 = 26

12 + 12 + 6 = 26

30 = 26 (false)

d) 3*3 +4*5 + 6 = 26

9 + 20 + 6 = 26

35 = 26 (false)

so the answer is x=4 , y=2

5) 3a + 4 ≥ 13

3a ≥ 9

a ≥ 3

so the answer is {3,4.5,5}

She needs to pay N $8378.31 in two and a half years from now to meet her obligation.

What are the basic arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Let's first calculate the total interest on the loan for three and a half years:

Interest = Principal × Rate × Time

Interest = 20000 × 0.05 × 3.5

Interest = 3500

So, the total amount she needs to pay back on maturity is:

20000 + 3500 = N$23500

Now, let's subtract the amount she plans to pay in the next 10 months and 16 months:

N$23500 - N$2000 - N$5000 = N$16500

So, she needs to pay N$16500 in two and a half years from now to meet her obligation.

Alternatively, we can also calculate the present value of the remaining payments using the formula for present value of an annuity:

PV = \(PMT \times (1 - (1 + r)^{(-n)}) / r\)

where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.

Using this formula, we get:

PV = \(2000 \times (1 - (1 + 0.05/12)^{(-10})) / (0.05/12) + 5000 \times x (1 - (1 + 0.05/12)^{(-16)}) / (0.05/12)\)

PV = N$13658.80

So, the amount she needs to pay in two and a half years from now to meet her obligation is the present value of the remaining payments:

PV = \(PMT \times (1 + r)^{(-n)}\)

N$13658.80 = \(PMT \times (1 + 0.05/12)^{(-30)}\)

PMT = N$8378.31

Hence, she needs to pay N$8378.31 in two and a half years from now to meet her obligation.

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\(\\ \sf\longmapsto 5+n>2\)

\(\\ \sf\longmapsto n>2-5\)

\(\\ \sf\longmapsto n>-3\)

Answer:

28

Step-by-step explanation:

Substitute x = - 2 into the expression, that is

(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28

La ecuación cuadrática y² - 8 es una diferencia de cuadrados, cuya forma es (y + 2√2) · (y - 2√2).

Tenemos una ecuación cuadrática de la forma y² - a², donde a es un número real. Según el álgebra de los números reales, esta expresión si corresponde a una diferencia de cuadrados, definida a continuación:

y² - a² = (y + a) · (y - a)

Si tenemos a² = 8, entonces a = √8 = 2√2 y se tiene la siguiente expresión:

y² - 8 = (y + 2√2) · (y - 2√2)

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Answer:

x = 3.7

Step-by-step explanation:

15.61 + 4 = 19.61

19.61 divided by 5.3 = 3.7

Therefore, x = 3.7

Also because it syas "5.3x", it means you have to times that number and x to get the total number; so we can do the equation.

no entendí bien puedes explicar mejor la pregunta si la entendí pero el contenido si

Answer:

C. 20

Step-by-step explanation:

60 = 2x + 20  ==> solve for x

60 - 20 = 2x + 20 - 20  ==> subtract 20 on both sides to isolate x

40 = 2x  ==> simplify

x = 40/2  ==> divide both sides by 2 to isolate x

x = 20 degrees

Answer: C. 20

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

Coordinates of Steve's House are S (3,2)

The required coordinate of the Steves's house is (3,2).

The map below shows the locations of the houses of Maria Reese and Paul, coordinates of Steve's house who lives 2 miles from Paul and 1 mile from Reese is to be determined.

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
Since Steve's house lives 2 miles from Paul's, So the Y coordinate of Steve's house will raise to 2 more than the Y coordinate of Paul, So Y = 0 + 2 = 2
Now, Steve's house lives 1 mile from Reese x coordinate of Steve's house will raise to 1 more than the x coordinate of Reese, So X = 2 + 1 = 3

Thus, the required coordinate of the Steves's house is (3,2).

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(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

80 miles per hour

Step-by-step explanation:

The unit rate in this problem is 1 hour.

To find the unit rate, we have to find a factor for 1 hour and 1 \(\frac{1}{4\\}\) hours.

A common factor would be  \(\frac{1}{4\\}\)  of an hour. Since  \(\frac{1}{4\\}\)  is 1 \(\frac{1}{4\\}\) divided by 5, we also have to divide 100 miles by 5, which is 20.

So now we have that Blake's car can travel 20 miles in \(\frac{1}{4\\}\) of an hour.

We want to know how many miles it can travel in 1 hour. If we multiply \(\frac{1}{4\\}\) by 4, we get one hour. Likewise, we multiply 20 miles by 4 to get 80 miles travel in one hour.

Answer:

Step-by-step explanation:

The equation given is:

120 + 1814x = 180 - 134x

We can simplify this equation by adding 134x to both sides:

120 + 1948x = 180

Next, we can subtract 120 from both sides:

1948x = 60

Finally, we can solve for x by dividing both sides by 1948:

x = 60/1948

Therefore, the solution is:

x = 0.0308 (rounded to four decimal places)

Answer:

To solve the equation, we need to first convert the mixed numbers to improper fractions:

120 + 18 1/4 x = 180 − 1 3/4 x

120 + 73/4 x = 180 - 7/4 x (converting mixed numbers to improper fractions)

Multiplying both sides by 4 to eliminate the fractions, we get:

480 + 73x = 720 - 7x

Combining like terms, we get:

80x = 240

Dividing both sides by 80, we get:

x = 3

Therefore, the solution for x is 3.

Answer:

2,150 m

Step-by-step explanation:

The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

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If m∠A > 30, an inequality which must be true include the following: 1. m∠B < 20°

In Mathematics, the exterior angle theorem or postulate can be defined as a theorem which states that the measure of an exterior angle in a triangle is always equal in magnitude (size) to the sum of the measures of the two remote or opposite interior angles of that triangle.

By applying the exterior angle theorem, we can reasonably infer and logically deduce that the sum of the measure of the two interior remote or opposite angles in the given triangle is equal to the measure of angle C (∠C);

m∠A + m∠B = B∠C

m∠B = B∠C - m∠A

m∠B = 50° - 40°

m∠B = 10°

Therefore, m∠B < 20°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

15 -differences between gymnosperms and angiosperms:

16-

17- Uniform acceleration is a change of equal velocity in equal interval of tine.

Non- Uniform acceleration is a change of unequal velocity in equal interval of time.

18- Three equation of motion:

Answer:

Two dimensions.

Straight sides.

Congruent (equal-length) sides.

An interior and exterior.

Equal interior angles.

Equal exterior angles.

Step-by-step explanation:

Answer:

  31.8°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant trig relation:

  Sin = Opposite/Hypotenuse

Here, that means ...

  sin(A) = BC/AC

  sin(x°) = 39/74

The arcsine function is used to find the angle when its sine is known.

  x° = arcsin(39/74) ≈ 31.8°

__

Additional comment

You may be more familiar with the notation ...

  \(x^\circ=\sin^{-1}{\left(\dfrac{39}{74}\right)}\)

This is how the arcsin (inverse sine) function is identified on most calculators.

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

We have,

The angle between the tangent and the radius of a circle is 90.

So,

∠1 = 90

∠2 = 90

And,

48 + 90 + 90 + ∠3 = 360 ______(1)

Solve for ∠3 from (1).

48 + 90 + 90 + ∠3 = 360

48 + 180 + ∠3 = 360

∠3 = 360 - 228

∠3 = 132

Thus,

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

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The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

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Answer:

y = 1/3x + 8/3

Step-by-step explanation:

To find an equation use two points to gather the slope and y-intercept.

(1, 3) (-5, 1)

Slope:

y2 - y1 / x2 - x1

1 - 3 / -5 - 1 = -2 / -6

-2 / -6 = 1 /3

y = 1/3x

y intercept is 8/3

Equation: y = 1/3x + 8/3

hope this helps and is right. p.s. i really need brainliest :)

Answer:

y=1/3x+8/3

Step-by-step explanation: