Find the gradient and y-intercept in this equation:
[tex]8x+2y+9=0[/tex]

Answers

Answer 1

Answer:

Gradient: -4

y-intercept: [tex]-\frac{9}{2}[/tex]

Step-by-step explanation:

Step 1 - Subtract 8x from both sides to isolate the 2y + 9

[tex]8x + 2y + 9 = 0\\8x + 2y + 9 - 8x = 0 - 8x\\2y + 9 = -8x\\[/tex]

Step 2 - Subtract 9 from both sides to isolate the 2y:

[tex]2y + 9 = -8x\\2y + 9 - 9 = -8x - 9\\2y = -8x - 9[/tex]

Step 3 - Divide both sides of the equation by 2:

[tex]\frac{2y}{2} = \frac{-8x}{2} - \frac{9}{2}\\y = -4x - \frac{9}{2}[/tex]

In this form, y = mx + b, the m value is the gradient with the b value being the y-intercept. This means:

[tex]y = -4x - \frac{9}{2}\\\\m = -4\\b = -\frac{9}{2} \\\\[/tex]

Resulting in the gradient being -4 and the y-intercept being [tex]-\frac{9}{2}[/tex].

Hope this helps!


Related Questions

An operation is defined as p*q=5q+p2 evaluate 7*3

Answers

Answer:

64

Step-by-step explanation:

7*3 ( with p = 7 and q = 3 )

= 5(3) + 7²

= 15 + 49

= 64

Can someone help me with math pls no links pls I lost a lot of points because someone put a link. THANK YOU

Answers

Answer:

THE ANSWER TO YOUR QUESTION IS B or 28/35 and 10/35

Step-by-step explanation:

we are going to focus on the 2/7 and the 10/35.

2 goes into 10 5 times. so 5 times 7 is 35. So that is true, the rule is what you do to the top you do to the bottom.

so basiclly 5 times 2 is 10 and 5 times 7 (from 2/7) is 35. so we then get 10/35.

now we will move onto the 25/35 and 4/5.

again 5 goes into 35 7 times. so 5 times 7 is 35. so we figured out how many times 5 goes into the denominator.

Now we have to figure out how many times 4 goes into 28. We got the four from the 4/5. so 28 divided by 4 is 7!!!

let me know if you dont get it im am always bord and eager to help others!!

THANKS FOR LETTING ME ANSWER!!

A circular tracks has a radius of 140 meters what is the diameter of track

Answers

Answer:

Hello! The answer is 280 meters :)

Step-by-step explanation:

The radius is basically just the diameter halved - in other words, the diameter is the radius multiplied by 2.

So if we multiply the radius (given, 140) by 2, we get 140 x 2, which is 280!

The diameter of the track is 280 meters.

each small square represents one square unit. Determine whether the areas of the figures form in arithmetic sequence. If so, choose a function S that represents the arithmetic sequence and find F ( 30 ).

Answers

Answer:

A. Not an arithmetic sequence

Step-by-step explanation:

Your choice is correct.

The sequence is:

4, 9, 25

The difference is not common:

9 - 4 = 525 - 9 = 165 ≠ 16

Correct choice is A

Count the squares

The sequence is 4,9,25

Lets find common difference

[tex]\\ \sf\longmapsto d=t_2-t_1[/tex]

[tex]\\ \sf\longmapsto 9-4=25-9[/tex]

[tex]\\ \sf\longmapsto 5\neq 16[/tex]

Hence it's not an arithmetic sequence

Note:-

The common formula of given sequence is

[tex]\\ \sf\longmapsto f(n)=n^2,n=\{2,3,5\}[/tex]

3 minutes to 48 seconds ratio

Answers

Answer:

1.44

Step-by-step explanation:

Answer:

15:4

Step-by-step explanation:

3min=180sec

180/48=90/24=45/12=15/4=15:4

duo makes 65% of his dumplings with vegetarian fillings What fraction of Duo's dumplings has vegetarian fillings?

Answers

Answer:

the answer should be 13/20

Step-by-step explanation:

hope this helps

What is the sum of this problem?

Answers

Step-by-step explanation:

= (3x² - 4) + (5x² + 8)

= (3 + 5)x² + (-4 + 8)

= 8x² + 4

what is the compound inequality for -6x+1>-5 and 3x+4>1

Answers

Answer:

it is 45 bc i think it is bc howugontellme

Marking brainliest

In what ways do you think tree planting is important?

Answers

Answer:

Trees contribute to their environment by providing oxygen, improving air quality, climate amelioration, conserving water, preserving soil, and supporting wildlife. During the process of photosynthesis, trees take in carbon dioxide and produce the oxygen we breathe.

Trees give off oxygen that we need to breathe. Trees reduce the amount of stormwater runoff, which reduces erosion and pollution in our waterways and may reduce the effects of flooding. Many species of wildlife depend on trees for their habitat. Trees provide food, protection, and homes for many birds and mammals.

They give us clean water to drink, air to breathe, shade, and food to humans, animals, and plants. They provide habitats for numerous species of fauna and flora, firewood for cooking and heat, materials for buildings and places of spiritual, cultural, and recreational importance.

translate the phrase into an algebraic explanation. 3 less then c. no links pls​

Answers

Answer:

3<c

Step-by-step explanation:

Is there a fast trick to convert centimeters to feet?

Answers

Answer:

Step-by-step explanation:

The only way I know is to divide the centimeters by 30.48

in 5years time reshma will be three times old as she was 9 years ago ,how old is she now?​

Answers

Question :-

In 5 years time reshma will be three times old as she was 9 years ago ,how old is she now?

Required Solution :-

Reshma is 16 years now.

Explanation :-

Let the present age of Reshma be X years.

Provided That :-

Her age after 5 years = X+5Her age 9 years ago = x-9

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow X+5 = 3(x-9)}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X+5= 3x- 27}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X-3x = -27-5}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -2x= -32}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x= 32}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X= \cancel{\dfrac{32}{2}}= 16}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ X = 16 }}}}}}[/tex]

Therefore

Reshma is 16 years now.

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How many permutations of the seven letters A, B, C, D, E, F, G do not have two consecutive vowels on the ends

Answers

The number of permutations without consecutive vowels at either end will be [tex]4560[/tex]

Let [tex]X = \{A, B, C, D, E, F, G\}[/tex]

Let [tex]Perm(X)=\{\text{All possible permutations of the elements of X}\}[/tex]

Let [tex]V = \{A, E\}[/tex]

Let [tex]Perm(\overline{V})= \{\text{All possible permutations of the consonants in X}\}[/tex]

Permutations with consecutive vowels at either end will have one of the following forms

[tex]AE\overline{v} \text{ or } EA\overline{v} \text{ or } \overline{v}AE \text{ or } \overline{v}EA\\\text{for } \overline{v} \in Perm(\overline{V})[/tex]

In all, we will have

[tex]4\times |Perm(\overline{V})|=4\times 5![/tex]  permutations

So, the number of permutations without consecutive vowels at either end will be

[tex]|Perm(X)|-4\times|Perm(\overline{V})|=7!-4\times 5!=4560[/tex]

Another solved problem on permutations can be found here: https://brainly.com/question/25642091

Find the sum of the interior angle measures of the polygon.

Answers

Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles of any polygon is:

Sum = (n - 2) * 180

Where n represents the number of vertices of the polygon

This polygon has 8 vertices so:

(8-2) * 180 = 6*180 = 1080 degrees

A scale says that 2 inches equals 50 miles.
How many inches would equal 250 miles?

Answers

Answer:

10 inches

Step-by-step explanation:

we know that 2 inches is equal to 50 miles, so:

2x = 50

x= 25, which means that 1 inch is 25 miles.

250/25 = 10, which means that it would take 10 inches to be equal to 250 miles.

10 inches

i’m not sure if your supposed to show your work but it’s 10 inches

1b. If you draw a card with a value of three or less from a standard deck of cards, I will pay you $41. If not, you pay me $11. (Aces are considered the highest card in the deck.)

Step 2 of 2: If you played this game 877 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.

Answers

Answer:

-38,588 (losing chances)

7,016 (winning chances)

Step-by-step explanation:

There are 52 cards in a standard deck.

4 suits: hearts, diamonds, clubs, and spades

Each suit has four 2's, and four 3's. That means that there are 8 chances you will win $41. and 44 chances you will lose $11.

8 × 877 = 7,016 chances you will win $41.

44 × 877 = 38,588 chances you will lose $11.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=-2/3-2

Step-by-step explanation:

PLEASE HELPPPP IMMBEGGING UUU I WILL HELP W YOUR SPANISH HOMEWORK??!!

Answers

-3 to -2 Jhajaiahseywusheuwusujwheheue

guys please help!!!!!!!!!!!!PLEASEEE
I HAVE 3 MINUTES

Answers

Answer:

[tex]4\sqrt[3]{2}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{128} = \sqrt[3]{64 (2)} = 4\sqrt[3]{2}[/tex]

Evaluate.

23+4⋅2−7


1

5

9

36

pls help im stressed cuz i have alot of math stuff to do

Answers

Answer:

24

Step-by-step explanation:

23+4⋅2−7

PEMDAS

Multiply first

23+8−7

Add and subtract from left to right

31-7

24

last one was a bot one so... someone please answer this time ill give brainliest!!

Answers

1) 180 degrees

The sum of the three angles of any triangle is equal to 180 degrees.

what is x²+2x factorise it please

Answers

[tex]x^2+2x\\\\=x(x+2)[/tex]

Answer:

x(x+2)

Step-by-step explanation:

x*2=xx

=xx+2x

=x(x+2)

If the simple interest on %900 for 3 years was $108, what was the rate of interest?
A. 3%
B. 4%
C. 12%
D. 25%

Answers

Answer:

B) 4%

Step-by-step explanation:

Interest = Principal x Rate x Time

108 = 900 x 3 x r

108 = 2700r

108/2700 = r

r = 0.04 or 4%

there is a photo I'm kinda hungry

Answers

Answer:

x=12

Step-by-step explanation:

overline AD = overline AB + overline BD

overline AD =10+10

overline AD =20

tan( angle BAC)= overline BC/overline AB

tan( angle BAC)= 6/10

angle BAC=30.964°

angle DAE= angle BAC

angle DAE=30.964°

tan( angle DAE)= overline DE/AD

tan (30.964 degrees) = x/20

x = 12

hope u understand

can you have a negative variable in algebra 1
like say
-x
the -x is by itself

Answers

Yes because there is technically a 1 in front of the x

a construction crew need to lay a total of 240 feet of underground pipes . on day one the team was able to lay 145 feet and 3 inches . how much pipe still needs to be laied? . ​

Answers

Answer:

240ft-143ft-3in= 96 feet & 9 inches

Find the next two terms. 162, 54, 18, ?, ?

Answers

Answer:

6 and 2

Step-by-step explanation:

this is a geometric sequence.

You will notice that the common ratio of this sequence is 1/3.

This means each term is 1/3 of the previous term, except for the first term.

18/3 = 6

6/3 =2

PLS Help Ill give you 20 points.

Answers

Answer:

Mia and her family went to dinner, and the bill, including tax, came to $54.65. Mia suggested giving the server a gratuity of about 20 percent of the bill.

If they give a gratuity of 20 percent, what would be the tip rounded to the nearest dollar?

✔ $11

If they give a gratuity of 20 percent, rounded to the nearest dollar, what is the total cost of the dinner, including the tip?

✔ $65.65

Step-by-step explanation:

The amount of tip was $11 and the total cost of dinner including tip was $66.

Given that, at the dinner Mia and her family get the bill including tax, of $54.65.

Mia wants to give the server a gratuity of about 20 percent of the bill.

We need to find the amount of tip given and total cost of dinner including the tip.

a) To calculate the tip, we need to find 20 percent of the bill amount, which is $54.65.

20 percent of $54.65 = 0.20 × $54.65

= $10.93.

Rounding this amount to the nearest dollar, the tip would be $11.

b) To find the total cost of the dinner, including the tip, we need to add the tip amount to the bill.

Bill amount: $54.65

Tip amount: $11

Total cost of dinner = $54.65 + $11 = $65.65.

Rounding this total cost to the nearest dollar, the total cost of the dinner, including the tip, would be $66.

Hence the total cost of the dinner, including the $11 tip, was $66.

Learn more about Percentage click;

https://brainly.com/question/32197511

#SPJ4

PLEASE HELP ME !!!!


What is the range of the function?
O all real numbers
all real numbers less than or equal to 0
O all real numbers greater than or equal to -3
O all real numbers less than or equal to -3

Answers

Answer:

all real numbers greater than or equal to −1

Step-by-step explanation:

BRAINLIEST?

How much time has elapsed in between 22:05:00 and 1:25:15?

Answers

Answer:

I got it!

Step-by-step explanation:

-20 Hours, -39 Minutes, -45 Seconds

or: -0.12 total weeks

or: -0.86 total days

or: -20.66 total hours

or: -1,239.75 total minutes

or: -74,385.00 total seconds

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