Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5

Answer:

B

Step-by-step explanation:

slope is negative

point slope formula is : (y-[tex]y_{1}[/tex]) = m(x-[tex]x_{2}[/tex])

the formula has minus signs that change the coordinates to the opposite value .

Answer:

4.2

Step-by-step explanation:

It would be 8/2 which gets 4 and put the .2 4.2

Length of the arc of each slice of cake is equals to 5.024inches.

" Length of the arc is defined as the distance between any two points as a part  of the circumference of the circle."

Formula used

Length of the arc =  radius × central angle of the arc

l = r × θ

According to the question,

Number of friends = 5

Diameter of the cake = 8inches

Shape of the cake is circular.

Therefore angle formed = 360°

Angle for each piece of cake = [tex]\frac{360}{5}[/tex]

                                                 = 72°

Radius of the cake = [tex]\frac{diameter }{2}[/tex]

                               = [tex]\frac{8}{2}[/tex]

                               = 4 inches

Substitute the value in the formula to get the length of the arc we get,

L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]

  = 5.024inches

Hence, length of the arc of each slice of cake is equals to 5.024inches.

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Let the base of the rectangle be of length 2x, so its vertices on the parabola are (−x, 49 − x²) and (x, 49 − x²).

The area A of the rectangle is given by A = 2x(49 − x²), which simplifies to A = 98x − 2x³.

A rectangle is a four-sided polygon with opposite sides being congruent and parallel to each other, and all interior angles measuring 90 degrees.

To find the maximum possible area, we need to find the value of x that maximizes A. To do this, we take the derivative of A with respect to x and set it equal to zero:

dA/dx = 98 - 6x² = 0

Solving for x, we get x = ±√(98/6) ≈ ±4.1

Since the rectangle is symmetric about the y-axis, we only need to consider positive values of x. Therefore, the length of the base of the rectangle is 2x ≈ 8.2.

The height of the rectangle is 49 − x² ≈ 47.9.

The maximum area of the rectangle is then A ≈ 392.18 square units.

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Answer:

-3(2x-4)+2<8

-3(2x-4)<6

-6x+12<6

-6x<-6

x=1

-3(2-4)+2<8

Answer:

⅓

Step-by-step explanation:

I solved it in the picture above

Answer:

w = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation representing the situation is

3w + 7 = 8 ( subtract 7 from both sides )

w = 1 ( divide both sides by 3 )

w = [tex]\frac{1}{3}[/tex]

Answer:

— Ang salitang entrepreneur ay hango sa salitang French na entrepende na nangangahulugang?

9514 1404 393

Answer:

  it depends on the accuracy and resolution required of the answer

Step-by-step explanation:

The shaded portion appears to be about half the length of the unshaded portion, suggesting the shaded amount is 1/3.

__

Using a pair of dividers, one could determine the number of times the shaded portion fits into the whole bar. Depending on how much is left over, the process could repeat to determine the approximate size of the remaining fraction relative to the bar or to the shaded portion. (Alternatively, one could replicate the length of the bar to see what integer number of shaded lengths fit into what integer number of whole lengths.)

One could measure the shaded part and the whole bar with a ruler, then determine the relative size of the shaded part by dividing the first measurement by the second. The finer the divisions on the ruler, the better the approximation will be.

Step-by-step explanation:

I cannot really identify and read the provided answer options.

the solution to the sequence 2, 6, 10, 14, 18, ... is

an = 4×(n-1) + 2

recursive that is

a1 = 2

an = an-1 + 4

please pick the right option in your original problem definition that fits to this solution.

The recursive formula that represents the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed constant value to the previous term.

This fixed value is called the common difference, and it is the same for all terms in the sequence.

We have,

The given sequence has a common difference of 4 between its consecutive terms.

To represent this sequence using a recursive formula, we can start with the first term and use the common difference of 4 to find each subsequent term.

Let's assume that the first term of the sequence is a1. Then, we can represent the second term [tex]a_2[/tex] as:

[tex]a_2 = a_1 + 4[/tex]

Similarly, we can represent the third term (a3) as:

[tex]a_3 = a_2 + 4[/tex]

Substituting the value of a2 from the above equation, we get:

[tex]a_3 = (a_1 + 4) + 4 = a_1 + 8[/tex]

We can continue this pattern to find the recursive formula for the nth term of the sequence:

[tex]a_n = a_{n-1} + 4[/tex]

where [tex]a_1[/tex]= 2

Thus,

The recursive formula for the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

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Answer:

an = - [2^(n+1)]

Step-by-step explanation:

-4,-8,-16,-32

a1 = -4

r = -8/-4 = 2

the formula :

an = -4. 2^(n-1) = - [2^(n+1)]

Answer:

Shelter from a tornado should be sought:

in any of the above

in a room in the center of the first floor

in a basement

under a staircase in the center of the house

Shelter from a tornado should be sought:

in any of the above

in a room in the center of the first floor

in a basement

under a staircase in the center of the house

Answer:

90km² only if it is parallelogram

Step-by-step explanation:

base = 9km

height=10km

area of parallelogram = b x h

=9km x 10km

=90km²

Answer:

A = 90km2

Step-by-step explanation:

Area of a rhombus is:

1. A = s x h (if given side and height)

2. A = 1/2 a x b (if given lengths of diagonals)

3. A = s^2 sin A (if given side and length)

Therefore from your problem, height and side is given thus, you'll use number 1

A = s x h

A = 9km x 10km = 90km2

Answer: $34

Hope this helps +

Answer:

21

Step-by-step explanation:

21

21

21

Answer:

Simple addition the answer is 21.

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 - x

f(-3) = 2*(-3)^2 - (-3)

=2*9 +3

=18 +3

=21

Answer: 21

Step-by-step explanation: To find f(-3) or the value of the function when x = -3, we plug in a -3 for the x in our function and we have 2(-3)² - (-3).

Start by simplifying the exponent to get 9.

So we have 2(9) - (-3) or 18 + 3 which is 21.

Answer: 11

Step-by-step explanation:

8 + (10 - 7)

first you would solve the parenthesis, to support the order of operations.

8 + ( 3)

ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"

next you add the eight and the three together

8 + 3 = 11

the total is eleven :)

Hey there!

Do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (10 - 7)

10 - 7 = 3

8 + 3

= 11

Or

8 + (10 - 7 )

8 + 10 - 7

8 + 10 = 18

18 - 7

= 11

Answer: 11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

closer to, shorter, longer.  (T=A^1.5

just took the assigniment.

Answer:

So, their orbital periods are than Earth's orbit. The further a planet is from the sun, the its orbit is.

Step-by-step explanation:

Even though Venus is farther from the sun than mercury, Venus's surface is hotter than Mercury's because Venus has a carbon dioxide atmosphere that traps the sun's heat.

Answer:

[tex]{ \tt{simple \: interest = p \times r \times t}} \\ = 10000 \times 15\% \times 5 \\ = £7500[/tex]

Answer:

18

Step-by-step explanation:

360÷20=18

twentycharactersignorethis

the building has 16 exterior walls

Divide total distance of the race by the length each runner runs:

8 miles / 4/5

When dividing by a fraction flip the fraction over and multiply:

8 miles x 5/4 = (8x5)/4 = 40/4 = 10

There are 10 runners

Answer:

10 runners

Step-by-step explanation:

Is 8 Miles which equals to 40/5 miles. 40/5 miles divided by 4/5 = 10 so 10 runners.

Answer:

8[tex]\sqrt{30}[/tex]

Step-by-step explanation:

AB^2 = AD * AC

we got the answer

Step-by-step explanation:

find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0

Answer:

a) 0.40

b) 0.10

c) 0.60

Step-by-step explanation:

Helena has 80% chance of getting A ,

                                                         [tex]P(A_H) = \frac{80}{100} = 0.80[/tex]  

Rodriquez has 50% chance of getting A ,

                                                         [tex]P(A_R) = \frac{50}{100} = 0.50[/tex]

a)

[tex]P(A_H A_R) = P(A_H) \times P(A_R) = 0.80 \times 0.50 = 0.40[/tex]

b)

[tex]Probability \ Helena \ will \ not \ get \ A\ , \ P(A_H^{'} ) = 1 - P(A_H) = 1 - 0.80 = 0.20[/tex]

Probability Rodriquez will get A and Helena will not

                                                           [tex]P(A_RA_H^{'})[/tex] = 0.50 x 0.20 = 0.10

c) Probability neither will obtain A = 1 - Probability both will get A

                                                    = 1 - 0.40

                                                    = 0.60

Answer:

D or A im leaning towards d but test your luck or not ur choice

Step-by-step explanation:

Answer:

Explained below

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, if there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and it is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data is positively skewed.

Answer:

Number one: x

Number two:8x

Number three: x+ 100

They added together equal to 1090:

x + 8x + x+ 100 = 1090

10x= 1090-100

10x=990

x=99

Number one: 99

Number two: 792

Number three: 199

Sum: 1090

Answer:

A

Step-by-step explanation:

That is the procedure above

Answer:

(3,2)

(6,4)

(9,6)

(12,8)

Step-by-step explanation:

Constant of proportionality is 2/3

This means that:

[tex]y = \frac{2}{3}x[/tex]

Thus, y should be less than x, which removes option A.

B) (3,2)

x = 3, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}3 = 2[/tex]

So (3,2) is on the line

C) (6,4)

x = 6, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}6 = 4[/tex]

So (6,4) is on the line

D) (9,6)

x = 9, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}9 = 6[/tex]

So (9,6) is on the line

E) (12,8)

x = 12, so:

[tex]y = \frac{2}{3}x = \frac{2}{3}12 = 8[/tex]

So (12,8) is on the line

Answer:

f(3) = 6

Step-by-step explanation:

Using the recursive rule and f(1) = 10 , then

f(2) = f(1) - 2 = 10 - 2 = 8

f(3) = f(2) - 2 = 8 - 2 = 6

Given :-

To Find :-

Solution :-

As per Question ,

→ f(n + 1) = f(n) - 2

→ f(n + 1 ) - f(n ) = -2

Therefore , the second term of the sequence is ,

→ f(2) - f(1) = -2

→ f(2) - 10 = -2

→ f(2) = 10 -2

→ f(2) = 8

Similarly,

→ f(3) - f(2) = -2

→ f(3) = 8 -2

→ f(3) = 6

Answer:

[tex]\$32[/tex]

Step-by-step explanation:

Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:

[tex]\frac{1}{4}x=8[/tex]

Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:

[tex]x=8\cdot 4=\boxed{\$32}[/tex]