Which linear function has the steepest slope?

Which Linear Function Has The Steepest Slope?

Answers

Answer 1

Answer:

[tex]y=-8x+5[/tex]

Slope-intercept form:

[tex]\implies y=mx+b[/tex] [tex](\text{m=slope};\text{b=y-intercept})[/tex]

Using the slope-intercept form, let's identify the other slopes:

Option A:

[tex]y=-8x+5[/tex]  

[tex]\text{slope}=-8[/tex]

Option B:

[tex]y-9=-2(x+1)[/tex] (This equation is in point-slope form, the slope it too the left, making it -9)

[tex]\text{slope}=-9[/tex]

Option C:

[tex]y=7x-3[/tex]

[tex]\text{slope}=7[/tex]

Option D:

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

[tex]\text{slope}=2[/tex]  (Using point-slope terms, we can find the slope.)

⇒ A 'steep'est slope is closest to almost having a vertical slope or pitch, or  relatively high gradient, as a hill, an ascent, stairs, etc.

[tex]\text{This could be a line }[/tex] ⇒ ([tex]\text{positive or negative}[/tex])

Hence, the linear function with the steepest slope is Option A: [tex]y=-8x+5[/tex].

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Related Questions

The circle below is centered at the origin and has a radius of 7. What is its
equation?
A ²+2²=7
B. x²-y²=7
C. x²-²2²=49A
D. x² + y² = 49

Answers

Answer:

x² + y² = 49

Step-by-step explanation:

The equation for a circle is: x² + y² = r²

here, we know our circle's radius (r) to be 7

So, the equation for our circle is:                  {replace "r" with value}

x² + y² = 7²

which can be simplified to:

x² + y² = 49

hope this helps!! have a lovely day :)

A quadrilateral has three congruent sides. Each of the congruent sides is 5 cm shorter than the forth side. If the quadrilateral has a perimeter of 33 cm, find the length of the longest side

Answers

The length of the three congruent sides is 7 cm and the fourth side length is 12cm.

Given quadrilateral has three congruent sides and perimeter of quadrilateral is 33 cm.

A quadrilateral can be expressed as ABCD and three congruent sides are AB, BC, CD and the fourth side is AD.

Let AD=x

then AB=BC=CD=x-5

This means if all the sides of a quadrilateral are known, we can get its perimeter by adding all its sides.

So, Perimeter = AB + BC + CD + DA.

Substitute values

(x-5)+(x-5)+(x-5)+x=33

4x-15=33

    4x= 48

     x=12

Hence the fourth side length is 12cm and the other sides are 7 cm longer.

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The quotient of 8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n?

Answers

The value of the number n as 1.5 * [tex]10^{-18}[/tex].

What is power?

A power is the product of multiplying a number by itself.

(8.4*[tex]10^{9} \\[/tex])/n = (5.6* [tex]10^{27}[/tex])

n= (5.6* [tex]10^{27}[/tex]) / (8.4*[tex]10^{9} \\[/tex])

n= 1.5 * [tex]10^{-18}[/tex]

Hence, the value of n is n= 1.5 * [tex]10^{-18}[/tex]

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Hi my name is aughhhhhhhhhhh

Answers

Answer:

Hello auggggh nice to meet you!

Step-by-step explanation:

Identify two angles that are marked
congruent to each other on the diagram
below. (Diagram is not to scale.)

Answers

Answer:

Angles G and H are congruent.

Step-by-step explanation:

a woman bought some oranges and 30% of them were bad if there were 60 bad oranges how many oranges did she buy​

Answers

Answer:

if 60 is 30%, then add up to 100%

60+60+60= 180

but we still have 10% left so divide 30% by 3 to get 10% then add

30% (or 60) /3 is 20

add 20 to 180

boom you get 200 she bought 200 oranges i wonder how shes gonna fit them in her car that's a lot of oranges

Answer:

200

Step-by-step explanation:

To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:

30 ∗ x÷100

 =  60  

To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 200. Therefore, the answer to 60 is 30 percent of what number? is:

200

C
7 cm
D
What is the sum of the areas of circle C and circle D?
O 7π units²
O 14π units²
O49π units²
O 98π units²

Answers

Answer:

[tex]98 \pi \:\: \sf units^2[/tex]

Step-by-step explanation:

[tex]\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

From inspection of the given diagram, circle C and circle D both have a radius of 7 cm.

Therefore:

[tex]\implies \textsf{Area of circle C}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]

[tex]\implies \textsf{Area of circle D}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]

Therefore, the sum of the areas of circle and circle D is:

[tex]\implies \textsf{Area of circle C}+\textsf{Area of circle D}=49 \pi + 49 \pi = 98 \pi \:\: \sf cm^2[/tex]

The sum of the areas of the circles is 98π units².

The correct option is D.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

The formula for the area of a circle is A=πr², where A is the area and r is the radius.

For circle C, the radius is 7, so its area is A_C = π(7)² = 49π units².

For circle D, the radius is also 7, so its area is A_D = π(7)² = 49π units².

The sum of the areas is therefore:

A_C + A_D = 49π + 49π = 98π units²

Therefore, the answer is (D) 98π units².

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6. Find the distance between points A = (2, 0) and B = (0, 9). Round your answer to the nearest
tenth.

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\approx 9.2 \:\: units [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex] \textsf{Using distance formula : - } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{(2 - 0) {}^{2} + (0 - 9) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{(2) {}^{2} + (- 9) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{ 4 + 81} [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{85} \: \: units[/tex]

[tex]\qquad \tt \rightarrow \: \approx 9.2 \: \: units[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The distance between points A and B is 9.2 units.

We have,

To find the distance between two points (a, b) and (c, d) in a coordinate plane, you can use the distance formula:

Distance = √[(c - a)² + (d - b)²]

In this case, point A is (2, 0) and point B is (0, 9).

Now, plug the values into the distance formula:

Distance = √[(0 - 2)² + (9 - 0)²]

Distance = √[(-2)² + 9²]

Distance = √[4 + 81]

Distance = √85

Now, round the answer to the nearest tenth:

Distance ≈ √85 ≈ 9.2 (rounded to the nearest tenth)

Thus,

The distance between points A and B is 9.2 units.

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What is the height of a triangle whose
base is 8.2 centimeters and whose area
is 173.43 square centimeters?

Answers

Answer:

42.3cm

Step-by-step explanation:

I think this is right :)

Click for the picture of the question it’s a multiple choice, I don’t even know where to begin

Answers

Answer:

b - read explanation if you are confused for future problems

Step-by-step explanation:

Inverse variation is when x*y = k whereas direct variation (may come up in future problems) is when y = x*k

Remember that k is always a set value while x and y are values that can change

In this case y*x = k so k = 18 (since y is 9 when x is 2)

So when  x = 8

8y = 18

y = 18/8 = 9/4

Answer is b! Not quite sure how to explain it tho

Juanita’s boss told her that once she has worked with the company for 10 years, her salary will be increased to 3 times what she makes now plus $2,000. If s represents her original salary, which expression represents what her salary will be after 10 years at the company?
One-third s + 2,000
StartFraction 3 Over s EndFraction + 2,000
3 s + 2,000
2,000 minus 3 s

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Juanita’s salary once she completes 10 years, her salary will be increased to 3 times what she makes now plus $2,000. Now, if her salary is represented by s, then the expression that would represent her salary after 10 years is,

Salary after 10 years = 3s + 2000

Hence, the correct option is C.

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Answer:

C

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .

Answers

Answer:-1/4

Step-by-step explanation:

Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x

A circle with the equation (x + 6)2 + (y + 3)2 = 16 is reflected over the line x = 2.

What is the equation of the image?

( x + 10) 2 + ( y + 3) 2 = 16
( x - 10) 2 + ( y + 3) 2 = 16
( x + 6) 2 + ( y + 7) 2 = 16
( x + 6) 2 + ( y - 7) 2 = 16

Answers

Answer: [tex](x-10)^{2}+(y+3)^{2}=16[/tex]

Step-by-step explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is [tex](x-10)^{2}+(y+3)^{2}=16[/tex].

Which is the equation of a line that has a slope of 1/2and passes through point (2, -3)?

Answers

Answer:

y = 1/2 x - 4

Step-by-step explanation:

point slope form would be

( y - - 3) = 1/2 (x-2)       you can re-arrange as

y = 1/2x -4

need help with work would give more points but poor​

Answers

Answer:

Step-by-step explanation:

2.5

4 quarts per gallon

8 quarts per 2 gallons

2 quarts is half a gallon since 4 quarts is a full gallon

answer: 2.5

Which of the following is the correct order of the polynomial
2y5+y+3y7-4y³ +12?

Answers

Answer:

3y⁷ + 2y⁵ - 4y³ + y + 12

Step-by-step explanation:

2y⁵ + y + 3y⁷ - 4y³ + 12

(greatest - least powers)

I hope this helps!

3(2x − 8) – 11x ......

Answers

Answer:

-5x-24

Step-by-step explanation:

3(2x-8)-11x

Use distributive property.

6x-24-11x.

Combine like terms.

6x-11x-24=-5x-24

-5x-24

Hope this helps!

If not, I am sorry.

Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3, then combine like terms.

= 6x - 24 - 11x

= -5x - 24

16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the above information in Venn diagram. b) Find the number of students who drink only one drink.​

Answers

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

A carpenter started with a board that was 31 inches long. he cut 2 pieces that were each 3 inches long. he then cut 3 pieces that were each

Answers

Answer:

i don't know

Step-by-step explanation:

i

18-(7+3)-1 simplified

Answers

Answer:

18-10-1

7

Step-by-step explanation:

please mark me as brainlest

Answer:

18-7+3-1

18-10-1

18-11

+7 or 7

Step-by-step explanation:

we have first done of bracket

then as we know minus and minus is equal to plus

then we have done our solution

thank you

A line that includes the point (0, 6) has a slope of 1/3. What is its equation in slope-intercept
form?

Answers

Answer:

y=⅓x+b

Step-by-step explanation:

So basically the formula of slope-intercept is:

y=mx+b

and m=⅓

so

y=⅓x+b and it includes the point (0, 6) so:

6=⅓(0)+b===> b=6===> y=⅓x+6

In a spelling bee $50\%$ of the students were eliminated after the first round. Only $\frac{1}{3}$ of the remaining students were still in the contest after the second round. If 24 students were still in the contest after the second round, how many students began the contest

Answers

There were 144 students when the contest began

What is Equation ?

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

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Select the correct answer.
Sammile pays $30 for a bag that she buys at a discount of 50% What is the price of the bag without the discount?
O A $30
O B. $45
O C. $60
O D. $80

Answers

If 30 is half price, then what is full price?

You can set up this problem like this:

30 = x/2

OR

30 = (1/2)x

where x is the full price.

To solve, simply multiply each half by 2:

2(30) = 2((1/2)x)

x = $60

C. $60. If 50% is 30, the other 50% is also 30. This would make 100% 60.

Which parent function is represented by the graph?

Answers

Answer:

Linear

Step-by-step explanation:

pretty self explanatory

Answer:

The linear parent function Step-by-step

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable.

Hope your having a great day!!


Put these types of angles in order, sta rting with the smallest angle size.
Smallest
Obtuse
Acute
Reflex
Right angle
Largest
<<<<
Update

Answers

Answer:

Acute, right angle, obtuse, reflex

Step-by-step explanation:

Answer:

Acute

right angle

obtuse

reflex angle

Step-by-step explanation:

Find the area for a triangle that has a base of 24 inches and a height of 4 inches. 96 in 2 48 in 2 cannot be determined 28 in 2

Answers

Answer:

48 in²

Step-by-step explanation:

triangle = bh/2

triangle = 24 x 4 / 2

triangle = 48 in²

Mixed Practice! Find the value of each variable

I need 16, 17 and 18

Answers

Answer:

Step-by-step explanation:

Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.

Answers

Answer:

2 angles are 142 degrees

2 angles are 38 degrees

Step-by-step explanation:

In any parallelogram, the opposite angles are congruent.

So,

5x - 8 = 2x + 82

3x - 8 = 82

3x = 90

x = 30

Now lets plug in x into one of the angles:

5 ( 30 ) - 8

150-8

142

So, because that angle is 142, the other angle must also be 142. However, to make sure, we should still check.

2 ( 30 ) + 82

60 +82

142

As we can see, both angles are 142.

Now we have figured out 2 angles, and they are both 142. Now lets figure out the other 2 angles.

Any 4 sided shape has 360 degrees

142 + 142 = 284 degrees

Our 2 angles have 284  degrees in total.

if we subtract 284 from 360, we get 76.

Our remaining 2 angles have a total of 76 degrees. Because these angles are also opposite, we must divide by 2. 76/2 is 38.

So,

2 angles are 142 degrees

2 angles are 38 degrees

Help me please asapp

Answers

ED and AC are congruent

Write Statement as:

AB*BC=EB*BD

8(4x+2)=9(4x)

32x+16=36x

16=4x

4=x

Hope it helps!

Given two points of a line, find its slope.
(3, 1), (7,4)

Answers

Answer:

3/4 is the slope

Step-by-step explanation:

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