Is y=x a proportional linear equation

Answer:

1.8333

Step-by-step explanation:

12x-2=20

Add 2 to both sides:

12x=22

Divide both sides by 12:

[tex]x=\frac{22}{12}\approx 1.8333[/tex]

Hope this helps!

Answer & Step-by-step explanation:

[tex]K(5,4)[/tex]

Remember this:

[tex](x,y)[/tex]

[tex](5_{x},4_{y})[/tex]

When you are going to graph a point, you always start along the x-axis (the horizontal), then you move on to the y-axis (vertical). Both of the numbers in K are positive, so we will stay in Quadrant I.

For x, starting at (0,0) move to the right to point 5. From here, move up to the line that has value 4. Mark this spot with a dot and label if needed.

*If the x value is positive, you move to the right. If it is negative, you move to the left.

If the y value is positive, you move up. If it is negative, you move down.

Final answer:

To graph point K at (5,4), draw axes, locate 5 on the x-axis, 4 on the y-axis, and mark the point at the intersection.

Explanation:

To graph point K at (5,4), you start by drawing a set of perpendicular lines representing the x-axis (horizontal) and y-axis (vertical), usually with arrows on each end to indicate that they extend infinitely.

Each axis should be marked with evenly spaced intervals. Locate the number 5 on the x-axis (the horizontal axis) and then move vertically until you're level with the number 4 on the y-axis (the vertical axis).

Plot point K at the intersection of these two points.

This gives you the coordinates of point K where the first number in the parentheses is the position on the x-axis and the second number is the position on the y-axis.

Answer:

6.75 dm²

Step-by-step explanation:

All the side edges in the regular triangular prism are 3 dm long. Then, the base of the triangular plate is 3 dm long, and the other two sides are: √[3² + 3²] = 4.24 dm long (a right triangle is made and Pythagorean theorem is applied).

The height of the triangular plate is: √[4.24² + 1.5²] = 4.5 dm long (again Pythagorean theorem is applied)

Area of the triangular plate is: base*height/2 = 3*4.5/2 = 6.75 dm²

Answer:

what is the question

Step-by-step explanation:

plsss give brainliest

The correct answer is  Calvin is correct because he correctly applied the quotient of powers rule.

The correct option is (D).

Calvin is correct because he correctly applied the quotient of powers rule.

According to the quotient of powers rule, [tex]\( \frac{a^m}{a^n} = a^{m - n} \).[/tex]

So, in this case:

[tex]\[ \frac{r^{-5}s^{-3}}{r^8s^{-2}} = r^{-5 - 8}s^{-3 - (-2)} = r^{-13}s^{-1} \][/tex]

Then, when you raise this expression to the power of -4:

[tex]\[ (r^{-13}s^{-1})^{-4} = r^{-13 \times -4}s^{-1 \times -4} = r^{52}s^4 \][/tex]

Nadine's approach would result in:

[tex]\[ \left( \frac{r^{-5}s^{-3}}{r^8s^{-2}} \right)^{-4} = \left( \frac{e^{-20}s^{-12}}{r^{32}s^8} \right) \][/tex]

Which is incorrect.

So, the correct answer is D. Calvin is correct because he correctly applied the quotient of powers rule.

complete question given below:

Nadine and Calvin are simplifying the expression ( (r^(-5)s^(-3))/r^8s^(-2) ). Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power (e^(-20)s^(-12))/r^(32)s^8 . Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r^(-13)s^(-1))^-4.

Who is correct and why?

A.Nadine is incorrect because she should have applied the quotient of powers rule first.

B.Nadine is correct because she correctly applied the power of a product rule.

C.Calvin is incorrect because he should have applied the power of a product rule first.

D.Calvin is correct because he correctly applied the quotient of powers rule

Answer:

Step-by-step explanation:

This is a Compound interest problem with a decreasing rate. It is given by the formula:

A = P(1 +/- R)^T

Where A = amount after time T

P = principal or initial amount

R = rate of increase or decrease

T = time elapsed

There's +/- because + is used in the case when the amount is increasing at a particular rate and - is used whe the amiunt is decreasing.

In 2000 there were 5,400 birds and the number of birds is decreasing by 3% (0.03) every year.

The number of birds, y, that will be there x years after 2000 will be:

y = 5400( 1 - 0.03)ˣ

2025 is 25 years ahead of 2000, so x = 25

Therefore, the number of birds in 2025 will be:

y = 5400(1 - 0.03)^25

y = 5400(0.97)^25

y = 5400 * 0.467

y = 2522 birds

There will be 2522 birds in 2025.

The equation to represent the number of birds after x years is y = 5,400(1 - 0.03)^x. To find the number of birds in 2025, we use x = 25 in the equation to get y ≈ 3,295 birds.

To write an equation that represents the number, y, of birds x years after 2000 with a yearly decrease of 3%, we use the formula for exponential decay, which is y = a(1 - r)^x. Here, a is the initial amount, r is the rate of decrease, and x is the number of years since 2000.

In this case, the initial number of birds in 2000 was 5,400, so a = 5,400, and the rate of decrease is 3%, meaning r = 0.03. The equation becomes y = 5,400(1 - 0.03)^x.

To find out the number of birds in 2025, we calculate x as the number of years from 2000 to 2025, which is 25 years. Thus, the calculation results in y = 5,400(1 - 0.03)^25. After solving, we round the result to the nearest whole number.

Performing the calculation, y ≈ 3,295 birds.

Step-by-step explanation:

Hope it helps.

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Answer:

I'm not sure

Step-by-step explanation:

sorry

Answer:

(-4y,+12y), (z,19z)

Step-by-step explanation:

i got the same question.

Answer:

x= -12

Step-by-step explanation:

Assuming this is a direct variation

y = kx

When y = -16 x =4  we can find k

-16 = k*4

Divide each side by 4

-16/4 = 4k/4

-4 =k

So

y = -4k

Y = 48

48 = -4x

Divide each side by -4

48/-4 = -4x/-4

-12 =x

Answer: B

Step-by-step explanation:

The answer is 32.2102.

In June, Cory begins to save money for a video game and a TV he wants to buy in December.

He starts with $22. Each month he plans to save 10% more than the previous month.

How to find how much money will he have at the end of December?

the given scenario is an application of a geometric sequence with

a1=$20 and  r= 22/2 *100 = 1.1

. Since December is 6 months from June, then to find out the 6th term.

As, a2 = a1 * r = 20 × 1.1 = 22

a3= a2 *r = 22 * 1.1 = 24.2

a4= a3 * r = 24.2 * 1.1 = 26.62

a5=a3 * r = 26.62 *1.1 = 29.282

a6= a4*r = 29.282 * 1.1 = 32.2102.

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Answer:

Answer is x = 100 degrees.

Step-by-step explanation:

Vertically opposite angles are equal.

Then value of x is 100 degrees.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Step-by-step explanation:

[tex]x = 100 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

80 inches

Step-by-step explanation:

Pythagorean theorem

Answer:

k  =  y/x

as a fraction for both

Answer:

View answer in the photo.

Step-by-step explanation:

Answer:

  (b)  $880

Step-by-step explanation:

You want the cost of an 8-inch by 11-inch ad at the rate of $10 per square inch.

The area of the ad is the product of its dimensions:

  A = LW

  A = (11 in)(8 in) = 88 in²

The cost is $10 for each of those square inches:

  ($10/in²)×(88 in²) = $880

The cost of the full-page ad is $880, choice B.

Answer:

(a)Time taken to reach the ground, x=6 seconds

(b)Maximum height of the arrow during its flight =101.25 feet

Step-by-step explanation:

Given the quadratic function which models the flight of the arrow:

[tex]y=-5x^2+15x+90[/tex]

Where:

(a)Positive Zero

[tex]-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6[/tex]

In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.

(b)

[tex]y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25[/tex]

Comparing with the vertex form:

[tex]y=a(x-h)^2+k[/tex]

Our vertex, (h,k)=(1.5, 101.25)

Maximum Value of y=101.25

The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.

Answer: B

Step-by-step explanation:

Answer:

The answer would be 13.3.

Step-by-step explanation:

Use the Pythagorean theorem to find the other distances in the 5, 3, x triangle and the 7, 3, y triangle and add those two answers together plus 3 to get your answer.

Answer:

13.3 kilometers

Step-by-step explanation:

You need to use Pythagorean theorem for x+3+y.

The distance you would be looking for is 4+3+6.3=13.3

Answer:

y = 5x - 18

Step-by-step explanation:

Points:

Equation of the line:

y = ax + b

(5; 7) and (8; 22)

(5; 7)

7 = 5a + b

(8; 22)

22 = 8a + b

a and b are the same values:

{- 5a - b = - 7

{8a + b = 22

3a = 15

a = 5

5a + b = 7

5.5 + b = 7

25 + b = 7

b = 7 - 25

b = - 18

Equation:

y = 5x - 18

I Hope I've helped you.

Final answer:

The slope-intercept form equation of the line that passes through the points (5, 7) and (8, 22) is y = 5x + 18, found by first calculating the slope and then using the point-slope form to solve for y.

Explanation:

To find the slope-intercept form of the equation of the line that passes through the points (5, 7) and (8, 22), we first need to calculate the slope (m). The slope is given by the formula:

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

Using our points, this becomes:

m = (22 - 7) / (8 - 5) = 15 / 3 = 5

Now, we use one point and the slope in the point-slope form of the equation, y - y1 = m(x - x1), which becomes:

y - 7 = 5(x - 5) => y - 7 = 5x - 25

Solving for y to get the slope-intercept form, y = mx + b:

y = 5x + (25 - 7) = 5x + 18

So, the correct slope-intercept form equation of the line is y = 5x + 18.

Answer:I'm not sure how euros work but I'm almost certain there are 18 20p coins

Step-by-step explanation:

Answer:

What does that P suppose to mean and where are your answer choices?

Step-by-step explanation:

Answer:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0.

Step-by-step explanation:

x^2-3x-7=0. x2−3x−7=0 x 2 - 3 x - 7 = 0. Use the quadratic formula to find the solutions. −b±√b2−4(ac)2a - b ± b 2 - 4 ( a c ) 2 ...

Answer:

x=3/2 ±  √37/2

Step-by-step explanation: the answer

Answer:

Hope this answers the question.

Step-by-step explanation:

Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.

Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.

Final answer:

Factoring a number involves breaking it down into its prime factors, a straightforward process within the real number system. Factoring a trinomial, particularly in algebra, requires finding binomials that, when multiplied, return the original trinomial and can extend to complex numbers, guided by the fundamental theorem of algebra.

Explanation:

Factoring a trinomial and factoring a number are two very different processes within the realm of mathematics. When we talk about factoring a number, we refer to breaking it down into its prime factors, which are the prime numbers that multiply together to give the original number. For instance, factoring the number 10 would give us 2 and 5, since 2 x 5 = 10. This process is straightforward and applies to the number system.

On the other hand, factoring a trinomial involves finding two binomials that, when multiplied together, result in the original trinomial. This is more commonly encountered in algebra, especially when dealing with second-order polynomials (quadratics). For example, factoring the trinomial x² + 5x + 6 involves finding two binomials (x + 2) and (x + 3), since (x + 2)(x + 3) = x² + 5x + 6. Furthermore, factoring trinomials can extend into complex numbers where every nth-order polynomial can be factored into n linear factors in the complex number system, according to the fundamental theorem of algebra.

In summary, factoring a number focuses on prime factorization within the real number system, while factoring a trinomial involves algebraic manipulation that can extend into handling complex numbers and requires an understanding of both real and complex number systems.

Answer:

[tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}\\[/tex] ,  ([tex]x_1,x_2,[/tex] zeros of the polynomial)

Step-by-step explanation:

Given the zeros of a polynomial, [tex]x_1\: and \:x_2[/tex], to determine the vertex, follow these steps.

Find the equation of symmetry x=h where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

Substitute the value of h into the quadratic function f(x) to find the maximum of minimum point.

Therefore, the coordinate of the vertex will be:

 [tex]\text{(h, f(h)) where h=} \dfrac{x_1+x_2}{2}[/tex]

Answer:

B

Step-by-step explanation:

You have to evaluate the power and calculate the sum or difference in order to get the answer

A probability close to 1 indicates a chance event is very likely to occur. The probability of such an occurrence is a number. The correct option is option A.

The probability of such an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it really is represented by a value between 0 and 1, or between 0% and 100%.

The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1. outcomes are complimentary, the likelihood of "heads" is equal to the likelihood of "tails," and the likelihood of any one of the two possible outcomes is equal to half. A probability close to 1 indicates a chance event is very likely to occur.

Therefore, a probability close to 1 indicates a chance event is very likely to occur. The correct option is option A.

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Answer:

48π or 150.72

Step-by-step explanation:

The radius of the big circle is 8.

We can use that to find the area of the big circle.

Area is πr^2

π(8)^2

64π

Now, we can find the area of the small circle.

The diameter of that is 8, meaning the radius is 4.

πr^2

π(4)^2

16π

Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.

64π-16π=48π

As a decimal: 48*3.14=150.72

Answer:

180.48[tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle = bh

Area of a circle = π[tex]r^{2}[/tex]

Rectangle = 8 x 10 = 80

Circle = 3.14([tex]8^{2}[/tex]) = 200.96

But because it's a hlaf circle, divide the number by 2

100.48

Now add the numbers together

180.48[tex]ft^{2}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

i took the test