which equation has the steepest graph

Which Equation Has The Steepest Graph

Answers

Answer 1

Answer:

Answer: A.  Y= -10x -4.

Step-by-step explanation:

Steeper line : is a line which is closed to y-axis, or closed vertically.

Since, the standard form of a line is,

y = mx + c

Where m is the slope,

If the absolute value of the slope ( that is, |m| ) is maximum then it is called it has the steepest graph.

For,  y=-2x+6,

The absolute value of slope = 2,

For, y =8x-1,

The absolute value of slope = 8,

For, y=-10x-4,

The absolute value of slope = 10,

For, Y=7x+3,

The absolute value of slope = 7,

Since, 2< 7 < 8 < 10

Hence, the line y = -10 x - 4 is closest to y-axis,

⇒ Line y = -10 x - 4 has the steepest graph.

Answer 2

A steeper line is one with a greater absolute slope value. Among the provided equations, y = -10x - 4 has the steepest graph due to its absolute slope value of 10.

The correct answer is option A.

A steeper line in the context of linear equations can be understood as a line that is closer to the y-axis or one that has a more significant vertical incline. The steepness of a line is determined by its slope, represented as 'm' in the standard linear equation form, y = mx + c. The slope 'm' quantifies the rate at which the line rises or falls as it moves horizontally along the x-axis. The greater the absolute value of the slope (|m|), the steeper the line.

To identify the steepest line among several equations, one must calculate and compare the absolute values of their slopes. Let's evaluate a few examples:

For y = -2x + 6, the absolute value of the slope is |2|.

For y = 8x - 1, the absolute value of the slope is |8|.

For y = -10x - 4, the absolute value of the slope is |10|.

For y = 7x + 3, the absolute value of the slope is |7|.

Comparing these absolute values, we find that 2 < 7 < 8 < 10. Therefore, the line with the steepest graph is y = -10x - 4. This line is closest to the y-axis, indicating the most significant vertical incline among the given equations.

Therefore, from the given options the correct one is A.

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Related Questions

Find the area of a circle with a diameter of \color{green}{6}6start color green, 6, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
start superscript, 2, end superscript

Answers

Answer:

9pi

Step-by-step explanation:

Find p(A|A^c)
A.1
B.0
C.1/2
D. Unknown

Answers

If [tex]A^C[/tex] has occurred, then [tex]A[/tex] cannot occur, so the probability is 0.

This follow directly from the definition of conditional probability:

[tex]P(A\mid A^C)=\dfrac{P(A\cap A^C)}{P(A^C)}[/tex]

but [tex]A[/tex] and [tex]A^C[/tex] are disjoint, so the probability of their intersection is 0.

Answer:

B.

Step-by-step explanation:

What’s the difference between ratio and proportion? Do they go under the same category?

Answers

Answer:

Step-by-step explanation:

Ratio is a relationship between two numbers indicating how many times the first number contains the the second.

Proportion is a part or share or number considered in comparative relation to whole.

So Ratio and Proportion wouldn't go under the same category.

 

I hope this would help you!!

what's 20 percent of 376,900​

Answers

376900x.2= 75380.......

Final answer:

To find 20 percent of 376,900, multiply it by 0.2, which equals 75,380.

Explanation:

To find 20 percent of 376,900, you can multiply 376,900 by 0.2.

20 percent, written as a decimal, is 0.2.

Multiplying 376,900 by 0.2 gives you 75,380.

Learn more about Calculating percentages here:

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GEOMETRY FIND THE VALUE OF Y Please Help ASAP!!

Answers

Answer:

32 degrees

god bless all

plz pray for my dead great grandfather

plss help will give brainliest and thx and 5star

Answers

Answer:

12. Heptagon

13. 14 cm

14. 50°

Step-by-step explanation:

12.

A polygon containing

3 sides is a triangle

4 sides is Quadrilateral

5 Sides is a Pentagon

6 sides is a Hexagon

7 sides is a Heptagon

Our polygon contains seven sides, it is hence a Heptagon

13. RST = ?

S is the mid point of RT

Hence RS = ST

ST = 7 given

Hence RS = 7

RT = RST = RS + ST

= 7 + 7

= 14 cms

14.

∠RSQ = ∠QST = 25°

∠RST=∠RSQ + ∠QST = 25°+ 25° = 50°

Help me please and explain, thanks

Answers

Answer:

15 degrees

Step-by-step explanation:

3.5 times 10 = 35

50-35=15

Answer:

29 Degrees Fahrenheit

Step-by-step explanation:

So at 4,000 ft. high, it's 50 Degrees Fahrenheit, that means we don't need the first 4,000 because 50 is our starting point. 10,000 - 4,000 = 6,000.

Every 1,000 ft. is down another 3.5 Degrees Fahrenheit, and so first we divide 6,000 by 1,000 to have 6.

Then we multiply 3.5 with 6 to get 21 Degrees Fahrenheit.

50 - 21 = 29 Degrees Fahrenheit.

Which of the following statements is true?
15+0=0
15-0=0
15 divided 0=0
0 divided 15=0

Answers

0 divided 15=0 is your answer

0 divided by 15 is 0.

Anything multiplied or divided by 0 is 0!

A fair die with sides 1, 2, 3, 4, 5, and 6 is rolled. Find the probability of showing a number less than 5. Enter your answer in decimal form, rounded to two decimal places.

Answers

Answer:

0.25

Step-by-step explanation:

there are 4 numbers that are less than 5.

1,2,3,4 make a fraction 1/4

which equals 0.25

sorry if this wasn't a good explanation..

Answer:

4/6 = 0.67

Step-by-step explanation:

If p varies directly as r and p=4,r=2,what the value of r when p=12

Answers

Answer:

r = 6

Step-by-step explanation:

Given that p varies directly as r, then the equation relating them is

p = kr ← k is the constant of variation

To find k use the condition p = 4, r = 2

k = [tex]\frac{p}{r}[/tex] = [tex]\frac{4}{2}[/tex] = 2

p = 2r ← equation of variation

When p = 12

12 = 2r ( divide both sides by 2 )

hence r = 6


Find the value of term a14 in the sequence.

6, 5, 4, 3, 2, . . .

Answers

Answer:

[tex]a_{14}=-7[/tex]

Step-by-step explanation:

The given sequence is:

6, 5, 4, 3, 2, . . .

The first term of the sequence is:

[tex]a_1=6[/tex]

The common difference is

d=5-6=-1

The nth term of the sequence:

[tex]a_n=a_1+d(n-1)[/tex]

[tex]a_n=6-1(n-1)[/tex]

[tex]a_n=6-n+1[/tex]

[tex]a_n=7-n[/tex]

When n=14

[tex]a_{14}=7-14=-7[/tex]

choose the correct expression to represent the piecewise-defined function? ​

Answers

Answer:

-3 5 2

Step-by-step explanation:

trust

Which step is part of a proof showing the opposite sides of parallelogram ABCD are congruent?
A) show that AC is congruent to BD
B) show that AD is congruent to AB
C) show that angles A and D are supplementary
D) show that triangle ADB is congruent to triangle CBD

Answers

I think it’s D. Because A) and B) are not true and im pretty sure that C) is also false

Answer:

its d

Step-by-step explanation:

Suppose h(t)= -0.2t^2+2t models the height, in feet, of a ball that is kicked into the air where t is given as time in seconds.

After how many seconds does the ball reach its maximum height?

What is the maximum height of the ball?

After how many seconds does the ball reach the ground?

Answers

Answer:

Step-by-step explanation:

Height:  h(t)= -0.2t^2+2t  =  2t(-0.1t + 1)

-0.2t^2+2t  is  a quadratic expression with a = -0.2 and b = 2.

The ball reaches its max height at t = -b/(2a).

Here, t = -2 / (2·[-0.2] ), or  t = 2/0.4 = 5 (sec)

The ball reaches its max height at at 5 sec.

The max ht. of the ball is h(5) = -0.2(5 sec)^2 + 2(5 sec) = (-5 + 10) sec, or 5 ft.

To determine after how many sec the ball reaches the ground, we set h(t) = 0 and solve for t:  

h(t)= -0.2t^2+2t = 0 = 2t(-0.1t + 1).  Thus, t = 0 sec or t = 10 sec

The ball reaches the ground again after 10 sec.

WORTH 98 POINTS

The number of horses occupying stalls at the county fairgrounds can be modeled by the following function, where x represents the number of days since the first of June.

h(x)=-3x^2+30+225

Rewrite this function in the form that reveals when there are no horses occupying stalls at the fairgrounds

Answers

Answer:

The equation is -3x^2 + 30x + 225 = 0, and the number of days is 15.

Step-by-step explanation:

I assume an x is missing, and the function is h(x) = -3x^2 + 30x + 225

You want to know the number of days in which the function value is zero.

-3x^2 + 30x + 225 = 0

Divide both sides by -3.

x^2 - 10x - 75 = 0

(x - 15)(x + 5) = 0

x - 15 = 0 or x + 5 = 0

x = 15 or x = -5

We discard the negative solution.

Answer: The equation is -3x^2 + 30x + 225 = 0, and the number of days is 15.

Answer:

h(x) = -3 (x + 5) (x - 15)

Step-by-step explanation:

h(x) = -3x^2 + 30 + 225

      = -3(x^2 - 10x - 75)

      = -3(x + 5)(x - 15)

      x = -5    x = 15

Tell whether the System has one solution infinite solution many solutions or no solutions 5x-3y=10 10x+6y=20

Answers

ANSWER

The system has one solution.

EXPLANATION

The given system is

1st: 5x-3y=10

2nd: 10x+6y=20

Make y the subject in the first equation to get:

[tex]y = \frac{5}{3} x + \frac{10}{3} [/tex]

Solve for y in the second equationquation to get;

[tex]y = - \frac{5}{3} x + \frac{10}{3} [/tex]

The slope of the two equations are not the same.

The two lines will intersect at exactly one point.

.The system has one solution.

Answer:

One solution

Step-by-step explanation:

We are given the following system of equations and we are to tell if the system has one solution, infinite solution, many solutions or no solutions:

[tex]5x-3y=10[/tex] --- (1)

[tex]10x+6y=20[/tex] --- (2)

If we take the common out from (2), we get:

[tex]2(5x+3y) = 20 [/tex]

[tex]5x+3y = 10 [/tex] --- (3)

So adding the two equations (1) and (3) gives 10x=20 ⇒ x=2.

Therefore, this system of equations has one solution.

By visual inspection, determine the best fitting regression model for the data below

Answers

Answer:

A) Quadratic

Step-by-step explanation: It has the U shape of a parabola which a quadratic equation has.

Answer:

The correct option is A.

Step-by-step explanation:

In a scatter plot the best fit curve in known as regression curve. Types of regression curves are

1. Linear regression line : If the best fit of a data is a straight line, then it is known as linear regression line.

2. Quadratic regression : If the best fit of a data is a U-shape curve, then it is known as quadratic regression.

3. Exponential regression : If the best fit of a data is an exponential curve, then it is known as exponential regression.

From the given graph it is clear that scatter data forms a U-shaped curve. Since the best fit of a data is a U-shape curve, therefore the quadratic regression model is best for the data.

Thus, option A is correct.

Match the expression 7x^2-5x+9
A. Cubic trinomial
B. Constant monomial
C. Quadratic trinomial
D. Not a polynomial

Answers

it it c becauee I had already learned this

Kathy designed a square patio. She made the sides of the patio 15 feet. What is the area of the patio?

Answers

Answer:

225 feet.

Step-by-step explanation:

15 X 15

Is the answer is b, also what is the perimeter of the rectangular!

Answers

yes B is the correct answer, the perimeter would be 16

Answer:

B and 16

Step-by-step explanation:

It's B because all the other answers would make a rectangular shape. You can find the plots on the lie by figuring out what coordinate each number is. For example, (3,1) the 3 is the x coordinate and 1 is the y coordinate. To find the perimeter you count the the boxes between the dots. 1 side is 4 and since it's the other sides are 4 you add it up to get 16 units squared.

What is the next term in -2, -5, -9, -14, -20.
And why

Answers

The next term would be -27

Lets pretend that all the negative signs went away, that way you have the data:

2, 5, 9, 14, 20

^^^In my opinion it just makes it easier because I don't like negative numbers. Keep in mind that the negatives are still there but I just made them "Invisible"

The pic below is how I found the pattern. If you can't tell by the picture from 2 to 5 it increases by 3. From 5 to 9 it increases by 4. From 9 to 14 it increases by 5. From 14 to 20 it increases by 6.

This means the pattern is to increase the number 1 more then the amount the previous number was increased (keep in mind this is the pattern for the positive version and therefore the original pattern would be decreasing (since the bigger a number that is negative is, the farther away it gets from zero, therefor getting smaller.) For the original version the rule would be: it would decrease the number 1 more then the amount the previous number was decreased) <<<Hope that makes sense

That means that 20 will be increased by 7 ( 6+ 1 = 7). Which equals 27. Make the negative sign visible again and your answer is -27.

Let me know if this made sense and if it was helpful!

Miss Clark’s farm has chickens and pigs. There are a total of 26 animal feet and 8 animal heads on her farm. If 20 feet belong to the pigs and 6 feet belong to the chickens, the ratio of the number of pigs to the number of chickens is

Answers

Answer:

5 : 3

Step-by-step explanation:

Given in the question that,

total number of animal feet = 26

number of pig's feet = 20

number of chicken's feet = 6

As we know that pig have four legs and chicken have 2 legs so,

number of pigs in the farm = 20/4 = 5

number of chickens in the farm = 6/2 = 3

Questions says that there are 8 heads so we can confirm our calculations as

5 + 3 = 8

The ratio of the number of pigs to the number of chickens is

5 : 3

e
| 2.
Solve this system of two linear equations using the
linear combination method.
2x - 5y = 18
y-x=-10

Answers

Answer:

[tex]x=\frac{32}{3}, y=\frac{2}{3}[/tex]

Step-by-step explanation:

We can multiply the second equation by 2 to eliminate.

[tex]2(y-x)=2(-10) \\ \\ 2y-2x=-20[/tex]

Let's eliminate.

[tex]2x-5y=18 \\ -2x+2y=-20 \\ -3y=-2 \\ y=\frac{2}{3}[/tex]

Now we can substitute back into the equation to find the value of [tex]x[/tex].

[tex]\frac{2}{3}-x=-10 \\ \\ \frac{2}{3}-x=-\frac{30}{3} \\ \\ -x=-\frac{32}{3} \\ \\ x=\frac{32}{3}[/tex]

The quadratic function h(t)=-16.1t^2+150 models a balls height in feet over time in seconds after it is dropped from a 15 story building

Answers

someone please answer

Answer:

A

Step-by-step explanation:

I did the same test

Madison currently has a balance of 5503.51 ina an account earning simple interest. 19 years ago she opend up an account with an intial deposit of 3196. What is the interest rate on the account o

Answers

Answer:

The simple interest is 3.80% per year.

Step-by-step explanation:

We are presented with a simple interest problem and the following information has been availed;

Accumulated amount = 5503.51

Time = 19 years

Principal = 3196

The first step is to determine the total interest earned over the entire time period;

Interest = Amount - Principal

             = 5503.51 - 3196

             = 2307.51

The simple interest formula states the total interest earned is equal to the product of the principal, the interest rate and the time;

[tex]I=\frac{P*R*T}{100}[/tex]

Making R the subject of the formula yields;

[tex]R=\frac{100*I}{P*T}[/tex]

Substituting the values we have and simplifying;

[tex]R=\frac{100*2307.51}{3196*19}=3.80[/tex]

The simple interest is thus 3.80% per year.

Find the measure of angle 2

Answers

I would say 45 degrees

The whole square is 360 degrees because each corner is a 90 degree angle

Which means each triangle section would be 90 degrees but angle 2 is cut in half, so half of 90 is 45

Hope this helps :)

Gigi makes a scale drawing of a patio. The drawing below shows the two scales use she used to plan two patios of different sizes. Which shows the correct dimensions of the rectangle in both scales?

Answers

Answer:

Scale 1 35 ft by 25 ft and Scale 2 56 ft by 40 ft

Step-by-step explanation:

step 1

Find the actual dimensions of a patio with the scale 1

The scale 1 is equal to

1 cm/5 ft

Length=7 cm=7*5=35 ft

Width=5 cm=5*5=25 ft

therefore

The dimensions are 35 ft by 25 ft

step 2

Find the actual dimensions of a patio with the scale 2

The scale 2 is equal to

1 cm/8 ft

Length=7 cm=7*8=56 ft

Width=5 cm=5*8=40 ft

therefore

The dimensions are 56 ft by 40 ft

Answer:

C

Step-by-step explanation:

If Scale 1 is 1 cm:5 ft, multiply 5 and 7 by 5 to get the correct dimensions. 7×5=35 and 5×5=25. If Scale 2 is 1 cm: 8 ft, multiply 5 and 7 by 8 to get the correct dimensions. 7×8=56 and 5×8=40. The answer is: Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft.

Hope this helps!

In 18 years time Halley will be five times as old as she was two years ago. Write this information in the form of an equation involving Halley's present age, a years How old is Halley now?

Answers

To solve any questions relating to ages, I find it easier to make a table, like in the picture below.

See picture for answer and clear diagram.

-----------------------------------------------------------------

Notes/Explanations + answer in written form

Let's say that Halley's age now is:              x

That means that her age in 18 years is:      x + 18

It also means that her age 2 years ago is:   x - 2

In the question, we are told that when Halley is 18 years older that her current age, she will be 5 times the age she was when she was 2 years younger than her current age

That means:

Halley's current age + 18 years = 5 times (Halley's current age - 2 years)

So we get this equation (which we solve to get the answer) :

x + 18 = 5 * (x -2)                       ( expand the brackets)

x + 18 = 5x - 10                           (subtract x from both sides)

18 = 4x - 10                                 (add 10 to both sides)

28 = 4x                                       (now divide both sides by 4)

7 = x

Therefore, Halley's current age is 7 years

Mrs Rivas wants to install carpet in her basement and family room. Her basement is 62/square yards and her family room is 18/square yards if carpet costs $13/per square yard ,how much will it cost to carpe these two rooms?

Answers

It will cost $1040 in the two rooms

For this case we have that the total cost will be given by:

[tex]C {t} = C {b} + C_ {f}[/tex]

Where:

[tex]C_ {b}:[/tex] Cost of installing carpet in the basement

[tex]C_ {f}:[/tex] Cost of installing carpet in the family room

So:

[tex]C_ {b} = 62 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {b} = 806 \ dollars[/tex]

Also:

[tex]C_ {f} = 18 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {f} = 234 \ dollars[/tex]

Thus, the total cost will be:

[tex]C_ {t} = 806 + 234\\C_ {t} = 1040[/tex]

ANswer:

The total cost will be 1040 dollars

The circumference of a circle is 9 pi.What is the area,in square inches,of a circle?Express your answer in terms of pi.

Answers

Answer:

20.25π

Step-by-step explanation:

The circumference (C) of a circle is calculated using the formula

C = 2πr ← r is the radius

given C = 9π, then

2πr = 9π ( divide both sides by 2π )

r = [tex]\frac{9\pi }{2\pi }[/tex] ( cancel the π on numerator/denominator )

  = 4.5

The area (A) of a circle is calculated using the formula

A = πr² = π × 4.5² = 20.25π

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