A gamer is observing her acore, y, as she plays a video game. She currently has 4,200 points and is gaining 250 points for every minute, x, she plays.

Which of the following equations can be used to describe this linear relationship

A. y = 250x - 4,200
B. y = 250x + 4,200
C. y = 4,200x - 250
D. y = 4,200x + 250
​

Answer:

Slope is -5 and y-intercept is 90.

Step-by-step explanation:

Use the two values that you circles (4, 70) and (6, 60) .

slope (m) = the change in y-value/ (the change in the x-values).

m = (70 - 60)/(4 - 6) = 10/-2  = -5

The y-intercept is the value of "b" in the equation y = mx + b.

 Using  y = mx + b,  substitute the value m and use point of your points (4, 70).

   y = mx + b

   70 = -5(4) + b     Now solve for "b".

  70 = -20 + b

 +20 = +20      

   90 = b

Answer:

37.68

Step-by-step explanation:

Formula for finding the circumference of a circle is C = 2πr

If you substitute the numbers in you should get 37.68.

Answer:

Option A

- x² + 2x - 6

Step-by-step explanation:

Here,

f(x) = 2x + 1

g(x) = x² - 7

Now,

(f - g)(x)

= f(x) - g(x)

= 2x + 1 - x² - 7

= 2x - x² - 7 + 1

= 2x - x² - 6

= - x² + 2x - 6

Thus, (f - g)(x) = - x² + 2x - 6

-TheUnknownScientist

Answer:

I think it's 8cm

Step-by-step explanation:

I'm not sure

The probability that the first plant is daffodil and the second plant is hyacinth is 2/21

Let the number of flowers be denoted as ,

     Number of daffodils, D = 12

     Number of hyacinths, H = 10

     Number of tulips,  T = 14

Total number of flowers = 12 + 10 + 14 = 36

The probability is given as = (Number of favorable outcomes)/(Total number of outcomes)

Thus, the probability of planting daffodils, P(D) = 12/36 = 1/3

          The probability of planting hyacinth, P(H) = 10/35 = 2/7

We have to find the probability that the first plant was daffodils and the second was hyacinth, that is,

           Probability = P(D) * P(H)

                               = 1/3 * 2/7

                                = 2/21

Hence the probability that the first plant is daffodil and the second plant is hyacinth is 2/21

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Answer:

Volume V = 18.735 m3

Step-by-step explanation:

hope this helps

Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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Answer:

Option (4)

Step-by-step explanation:

By the Angle of intersecting secants,

"If two lines intersect outside a circle, then the measure of the angle between these lines or secants will be one half of the difference between the intercepted arcs."

From the picture attached,

Angle between the secants = ∠1

Measure of intercepted arcs are a° and b°.

By this theorem,

m∠1 = \(\frac{1}{2}(a-b)\)

Option (4) will be the answer.

The substance will weigh 9 pounds after  4.5123 hours.

Here it is given that every 3 hours the weight of the substance doubles.

At 12 noon it weighed 2 pounds. Hence we will consider the initial weight to be 2.

Let the weight after x hours be w(x)

Here it doubles in 3 hours, hence the growth rate is 100%

Since the growth rate is given, the equation for the growth rate will be

w(x) = w₀.eˣ

where x = no. of 3-hour spans.

Here

w₀ = 2

and w(x) is given 9

Hence,

2eˣ = 9

or, e²ˣ = 9/2

Taking log on both sides we get

loge²ˣ = ln(9/2)

or, 2xloge = ln(9/2)

Since loge = 1 we get

2x = log(9/2)

or, x = 1.5041

Hence they will become 9 pounds after

3 X 1.5041 hours

= 4.5123 hours

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The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Therefore, the value of x in the right triangle is 24 cm.

A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and the measure of each angle depends on the lengths of the sides and the type of triangle. There are different types of triangles based on their side and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles have various properties and formulas that are used in geometry and other fields.

Here,

In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. Therefore, in this case, 25 cm is the hypotenuse of the triangle.

Using the Pythagorean Theorem, we can find the missing length x:

a² + b² = c²

where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse.

In this case, a = 7 cm, b = x, and c = 25 cm.

Substituting these values into the Pythagorean Theorem, we get:

7² + x² = 25²

49 + x² = 625

x² = 625 - 49

x² = 576

x = √576

x = 24

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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Answer:

=−2x+4y−8

Step-by-step explanation:

Let's simplify step-by-step.

2x+4y−8−4x

Chandler ended up 8 feet below sea level. The negative sign indicates that his final position is below sea level. This means that he has descended further into the lake compared to the starting point on the cliff.

Chandler started on the cliff at 32 feet above sea level. When he jumped for 40 feet, we need to determine the final position in relation to sea level.

Since Chandler jumped down, the distance below sea level will be calculated as a negative value. To find how far below sea level Chandler ended up, we subtract the jump distance (40 feet) from the starting height (32 feet above sea level):

32 feet - 40 feet = -8 feet

It's important to note that negative values are used here to represent the direction and magnitude of Chandler's descent relative to sea level

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Answer:

-8 feet

Step-by-step explanation:

The probability P (X≤2). from the probability distribution is 1/3

A continuous random variable is a type of random variable that can take on any value within a specific range, often an infinite range.

It has a probability distribution function that describes the probability of the variable taking on certain values within that range.

This means that

P (X≤2) =  the f(x) value

From the graph, we have

P (X≤2) = 1/3

Hence, teh value is 1/3

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Answer:

2 pounds of apples and 6 pounds of bananas or 4 pounds of apples and 2 pounds of bananas. 2a + b ≤ 10

Explanation:

We were given that:

Tony has $10 to buy apples and bananas for a fruit salad

Apples cost $2 per pound and bananas cost $1 per pound

Let apples be represented by "a" & bananas with "b"

We will use the information above to generate the inequality below:

For 2 pounds of apples and 13 pounds of bananas or 4 pounds of apples and 18 pounds of bananas, we have:

For 2 pounds of apples and 6 pounds of bananas or 4 pounds of apples and 2 pounds of bananas, we have:

Therefore, the correct option is:

2 pounds of apples and 6 pounds of bananas or 4 pounds of apples and 2 pounds of bananas. 2a + b ≤ 10

Answer:

see explanation below

Step-by-step explanation:

1500 × 3 × 20 ÷ 100

$900

Answer:

50ㅠ

Step-by-step explanation:

10 is the radius

area= pi x r^2

ㅠ x10x10/2

100ㅠ /2

50ㅠ

Answer:

I believe the answer is c

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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Answer:

-8(-x-5)-2 = -2 (x+1)

8x + 40 -2 = -2x -2

8x + 2x = -2 -40 +2

10x = -40

x = -40/10

x = -4

Answer:

-8,4

Step-by-step explanation:

because the slope is slightly 0n 5 and 4

Based on the image attached, the solution for GE  is approximately 22.72.

To  be able to solve the equation √129 + √129 = GE, one need to simplify the  expression and then isolate GE.

Step 1: One can add the square roots:

Note that the equation:

√129 + √129 = GE.

Step 2:  Do put together the square root terms:

2√129 = GE.

Step 3:  Then Divide by 2:

√129 = GE/2.

Step 4: The Square both sides:

129 = (GE²)/4.

Step 5: So, Multiply by 4:

516 = GE².

Lastly, Take the square root:

√516 = √(GE²)

√516 = GE

GE = 22.72. approx.

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See text below



Step 26

Solve the equation for GE:

√129+√129 = GE

GE=2/129

Show steps

Answer:

C

Step-by-step explanation:

Wolid like

Answer:

33

Step-by-step explanation:

Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.

Substitute the given value into the function and evaluate.

Answer:

33.

Step-by-step explanation:

f(x) = -x³ + x² + x.

f(-3) = -(-3)³ + (-3)² + (-3)

= -(-27) + (9) - 3

= 27 + 9 - 3

= 36 - 3

= 33.

Hope this helps!

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.