y=x+2 2x-y=-4 Solve the systems of equations

Answer:

[tex]a_n= - 1( - 2)^{n-1}[/tex]

Step-by-step explanation:

The given geometric sequence is :

-1,2,-4,8,...

The first term is

[tex]a_1=-1[/tex]

The common ratio is

[tex]r = \frac{2}{ - 1} = - 2[/tex]

The nth term is given by;

[tex]a_n=a_1(r^{n-1})[/tex]

We substitute the values of the first term and common ratio to get:

[tex]a_n= - 1( - 2)^{n-1}[/tex]

This is called the explicit formula.

Answer:

D.1/64

B.1 in 12

A.64%

Step-by-step explanation:

Each dial has 4 letters and only one of them is correct; the probability to choose the correct one is then 1/4. Selecting a letter in each dial is independent, then the probability of guessing the right combination in one try is 1/4 * 1/4 * 1/4 = 1/64

8% means a probability of 8/100 or an odds of 8 in 100. Dividing each term by 8 we get 8/8 = 1 in 100/8 = 12.5, which can be rounded to 1 in 12

80% means a probability of 80/100 = 0.8. Given that the 2 free-throws are independent, the probability that he makes both is 0.8*0.8 = 0.64 or 64%

Answer:

Vertex is (2,0)

Step-by-step explanation:

The vertex of a parabola is x=-b/2a

Since a=-2 and b=8, we have:

x=-8/2(-2)

x=-8/-4

x=2

So the vertex is (2,0)

Answer:

34 in 40

Step-by-step explanation:

6 in 40 is the probability of winning, so

34 in 40 is the probability of not winning.

simply do 40 - 6.

This answer can also be written as

[tex] \frac{34}{40} [/tex]

or 85%

The probability of not winning a bottle cap is 34/40.

Probability is a field in mathematics that deals with the possibility of how an event is likely to occur or true.

The probability of not winning = 34/40

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To prove that:

[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]

LHS = [tex]\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}[/tex]

Using basic trigonometric identity, [tex]\tan (x)=\frac{\sin (x)}{\cos (x)}[/tex]

       [tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\left(\frac{\sin A}{\cos A}\right)^{2}}[/tex]

      [tex]$=\frac{1}{\sin ^{2}A}-\frac{1}{\frac{\sin^2A}{\cos^2 A}}[/tex]

      [tex]$=\frac{1}{\sin ^{2}A}-\frac{\cos^2 A}{\sin^2A}[/tex]

      [tex]$=\frac{1-{\cos^2 A}}{\sin ^{2}A}[/tex]

Using trigonometric identity: [tex]1-\cos ^{2}(x)=\sin ^{2}(x)[/tex]

      [tex]$=\frac{\sin ^{2}A}{\sin ^{2}A}[/tex]

      = 1

      = RHS

LHS = RHS

[tex]$\frac{1}{\sin ^{2}A}-\frac{1}{\tan ^{2}A}=1[/tex]

Hence proved.

Answer:

197

Step-by-step explanation:

kk here we go

find the area of each side so:

5 x 5 = 25

5 x 5 = 25

9 x 5 = 45

6.4 x 5 = 32

trapezoid = 5 + 9 = 14

and then divide that 14 by 2 which is 7. multiply by height which is 5 again

that equals 35

double that bc there are 2 trapezoids = 70

add all together

197

there ya go:)

Step-by-step explanation:

[tex]35\% \: of \: 40 \\ = \frac{35}{100} \times 40 \\ = 3.5 \times 4 \\ = 14[/tex]

Hence 14 students prefer American food.

Option B is the correct answer.

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

[tex]MP=QN[/tex]

[tex]MP=QR+RN[/tex]

Substitute the given values.

[tex]6x-5=3x+1+6[/tex]

[tex]6x-5=3x+7[/tex]

[tex]6x-3x=5+7[/tex]

[tex]3x=12[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]QN=MP=6x-5=6(4)-5=24-5=19[/tex]

Hence, the measure of QN is 19 units.

To find QN,  RN from the value of QR which is 3x - 5

The value can be found using Algebraic expressions.

To find QN, we need to find the value of QR and subtract RN from it.

Given that QR = 3x + 1 and RN = 6, we can substitute these values into the equation.

So, QN = (3x + 1) - 6.

Simplifying further, QN

= 3x + 1 - 6

= 3x - 5.

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Final answer:

An equivalent expression to 56m+21n is found by factoring out the greatest common divisor, which is 7, resulting in the simplified expression 7(8m + 3n).

Explanation:

The question asks for an equivalent expression to 56m+21n. To find an equivalent expression, we look for common factors that both terms in the expression have. In this case, both 56 and 21 are divisible by 7. Therefore, we can factor out 7 from both terms to simplify the expression.

The factored form of the expression is:

7(8m + 3n)

This shows that 7(8m + 3n) is an equivalent expression to 56m+21n, simplifying the original expression by finding common factors.

Answer: X=20-0.75(10+2)

Please mark brainliest!

Step-by-step explanation:

It would be B x=20-0.75(10+2)

because 20 is the amount of the gift card and 0.75 is the percent you will be paying so you subtract the total of 10 and 2 and subtract from 20 and thats the amount you have left!

Answer:

b. x = 20 – 0.75(10 + 2)

Step-by-step explanation:

I just know

--

Brianna Edwards

e d g e n u i t y things

Thanks and remember to always vote brainliest

Answer:

  12√2 ≈ 16.97

Step-by-step explanation:

Points A and B are on grid lines. The difference B-A is (2, 2), so the distance formula will tell you the length of that segment is ...

  √(2²+2²) = 2√2

The regular hexagon has 6 sides all the same length. The perimeter is the sum of those lengths, so is ...

  6 × 2√2 = 12√2 ≈ 16.97 . . . . units

Answer:

I guess cuz... when u have same signs u add and keep..and if different signs u subtract.. and u keep the number of the bigger number

Adding two negative fractions follows the same principle as adding two negative integers: simply add the absolute values and apply a negative sign to the result. Understanding the basic rules of addition such as 'minus a minus makes a plus' helps with this process. This principle is consistent across various types of numbers, including complex numbers and vectors.

Adding two negative fractions is similar to adding two negative integers because in both cases, the sum will also be negative. Just like adding negative integers, when adding negative fractions, one simply adds the absolute values of the numerators while keeping the common denominator and then assigns a negative sign to the result. For instance, adding −½ and −¼, first find a common denominator (let's say 4), which turns the fractions into −1/4 and −2/4, then add the numerators to get −3/4, maintaining the negative sign.

Understanding the basic rules of number operations, such as the fact that when two positive numbers add, the sum has a positive sign, and when two negative numbers add, the sum has a negative sign, assists our intuition in addressing both negative integers and negative fractions. Similarly, subtraction of fractions follows the same principle as integers: by changing the sign of the number to be subtracted and then adding as per the normal rules.

The same principles used for addition of integers apply to the addition of negative fractions, showing that basic arithmetic operations are consistent across different types of numbers. This consistency extends beyond integers and fractions, as observed in complex numbers and vector addition, which also follow similar addition rules by combining the respective parts separately.

Answer:

146.67 dollars

Step-by-step explanation:

9.36*15.67

Answer:

$146.67

Step-by-step explanation:

$9.36 per hour

15.67 hours

Multiply

$146.67

Hope this helps :)

Answer:

(1) m > 0

(2) 2m + n= 26

Step-by-step explanation:

Answer:

its 0 trust me

Step-by-step explanation:

Answer:

a,c,e

Step-by-step explanation:

Correct me if I'm wrong!

Thank you

Tisa B Sora

The possible side lengths are:

3, 14, and √205

19, 180, and 181

Options A and C are the correct answer.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

In a right triangle:

The square of the hypotenuse is equal to the sum of the other two sides.

Now,

We can apply the Pythagorean theorem in each case:

1)

3, 14, and √205

Hypotenuse² = 3² + 14²

Hypotenuse² = 9 + 169

Hypotenuse² = 205

Hypotenuse = √205

True.

2)

6, 11, and √158  

Hypotenuse² = 6² + 11²

Hypotenuse² = 36 + 121

Hypotenuse² = 157

Hypotenuse = √157

Not possible

3)

19, 180, and 181

181² = 180² + 19²

181² - 180² = 19²

32761 - 32400 = 361

361 = 361

True.

4)

3, 19, and √380

Hypotenuse² = 3² + 19²

Hypotenuse² = 9 + 361

Hypotenuse² = 370

Hypotenuse = √370

Not possible

5)
2, 9, and 85

Hypotenuse² = 2² + 9²

Hypotenuse² = 4 + 81

Hypotenuse² = 85

Hypotenuse = √85

Not possible

Thus,

3, 14, and √205

19, 180, and 181 are possible side lengths.

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Answer:

The answer is one fourth

Answer:

1/4

Step-by-step explanation:

0.25 is the same as 25/100 in simplest form that is 1/4 because you can divide both the numerator and denomenator by 25

Answer:

y= -2x + 4

Step-by-step explanation:

-2 - 4 = -6

3 - 0 = 3

-6 ÷ 3 = -2

-2x is the slope.

3 × -2 = -6

-2 - -6 = 4

4 is the y intercept

Answer:

part A) see the explanation

part B) The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)

Step-by-step explanation:

The correct equation is

[tex]P(t)=54t+350[/tex]

Part A) what are t values when it is 1985 and 1990.

we have

[tex]P(t)=54t+350[/tex]

This is the linear equation in slope intercept form

[tex]m=54\\b=350[/tex]

where

P(t) ----> is the population, in thousands

t ---->  the time, in  years, since 1970

Remember that

t = 0 for 1970

so

For the year 1985

[tex]t=1985-1970=15\ years[/tex]

For the year 1990

[tex]t=1990-1970=205\ years[/tex]

Part B) what is p(t), when t=25?

For t=25 years

substitute the value of t in the linear equation

[tex]P(t)=54(25)+350=1,700[/tex]

Remember that the population is in thousands

That means

The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)

Answer: Y= 6/7 or Y=0.86

Step-by-step explanation:

-3=7(y-9/7)

-3=7y-9

+9     +9

6=7y

divide both sides to get y by it self

6/7=y

Answer:

Y=6/7

Step-by-step explanation:

You have to isolate the variable by doing the opposite of PEMDAS to both sides of the equation.

Answer:

56h+18

Distribute the 7 inside the paranthesis

Answer:

15

Step-by-step explanation:

Mean value of the set = 4+10+14+18+22+22/6

= 15

By adding the mean value to a set, its mean wouldnt change. Therefore, 15 should be added to the set

Answer:

diagonal =  53 cm

Step-by-step explanation:

(diagonal)² = (length)²+ (width)²

                  = (45)² + 28²

                 = 2025 + 784 =2809

diagonal = √2809 =√53*53 = 53 cm

Answer:53

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

I hope this helps!

Answer:

y = 2x^2 + 16x + 11

Step-by-step explanation:

2(x + 4)^2 - 21

2(x + 4)(x + 4) - 21

2(x^2 + 8x + 16) - 21

2x^2 + 16x + 32 - 21

2x^2 + 16x + 11

Answer:

y = 2x^2 + 16x + 11

the other answer explains it much better

Answer:

The answer

x=3

y=4

Step-by-step explanation:

You use substitution to solve it:

x+1=-2x+10

3x+1=10

3x=9

x=3

y=4

plug in the solution to the equation to verify your answer.

Answer:

A/15=5

so multiply 15*5

you would get 75

therefore a=75

Step-by-step explanation:

Step-by-step explanation:

a/15=5

rearrange to find a

a=15*5

so 15*5 is 75

a=75

Answer:

you would start off with putting 520 over 100 and then you would simplify it down and it becomes 26/5

Answer:

x=-5

Step-by-step explanation:

slope=m=11/4

(x, - 7) x1 =x, y1 =-7

(-1,4) x2=-1, y2 =4

m=(y2-y1) /(x2-x1)

m=(4-(-7))/(-1-x)

11/4=(4+7)/(-1-x)

11/4=11/(-1-x)

then 4=-1-x,

-x=4+1

-x=5

x=-5

Answer:

Mrs. Rodriguez has 6 packages of pens Wednesday

Step-by-step explanation:

Answer:

The best is  f(x) = (x + 3)(x − 3)(x + 1).

Step-by-step explanation:

The coefficient of x^3 will be positive because of where the graph rises and falls.

As one of the x intercepts is negative  3 one of the factors will be (x + 3).

By the same reasoning the other 2 factors will be (x - 3) and (x + 1).

Answer:

D is correct!

Step-by-step explanation:

I am with the same program.