Answers
First we convert into slope-intercept form | y = mx + b
[tex]-3y=-3-x[/tex]
Move x to another side and subtract. (Whenever you move to another side, the sign/operator will be opposite. From plus to minus and from multiply to divide.)
Then move -3 to divide (-3-x)
[tex]y=\frac{-3-x}{-3}[/tex]
Separate - [tex]y=\frac{-3}{-3}-\frac{x}{-3}[/tex]
| Negative dividing Negative equal positive |
[tex]y=\frac{3}{3}-(-\frac{x}{3})[/tex] | When the denominator is negative, we can pull out from the denominator and convert into the middle of fraction. |
| Negative multiplying Negative equal positive |
[tex]y=1+\frac{x}{3}[/tex]
This is not fully slope-intercept form yet. We swap the position of 1 and x/3
[tex]y=\frac{x}{3}+1[/tex]
There we go. The slope-intercept form.
Now our job is to find the x-intercept and y-intercept. First, know what m and b represents in the equation y = mx + b first.
From y = mx + b | m represents slope | b represents the y-intercept. |
Our equation is [tex]y=\frac{x}{3}+1[/tex]
Our m or slope is 1/3 and our y-intercept is 1. So we don't need to find the y-intercept because we've already found it.
Now move to finding x-intercept.
Substitute y as we get -
[tex]0=\frac{x}{3}+1[/tex]
Now whenever there is a denominator, multiply the whole equation by the denominator itself. As our denominator in this equation is 3, so we multiply all whole equation by 3.
[tex]0(3)=\frac{x}{3}(3)+1(3)\\0=x+3 \\x=-3[/tex]
Our x-intercept is x = -3 and y-intercept is y = 1.
Check the graph out. Our answers can be only A and B considering the slope is positive. C and D choices have negative slope (m < 0).
However, the value of slope also affects the graph. If the slope has a lot of value, then the graph will head to y-axis.
But if the slope has a little value then the graph will head to x-axis instead.
After all, when converting to the slope-intercept form. We don't need to find the x-intercept right away, just one glance at the graph along with the equation and we are able to answer it.
Thus, the answer is B choice.
I know it is a long, boring explanation. But providing a quality answer is what I'm trying to do. I may not be able to explain that good or whatever. But with an explanation, I hope it will benefit you someday, after all. An explanation can help you in a test. Thanks for reading and I hope this helps you.
Related Questions
mr smith monthly take home pay is 2880. 22% of his gross salary is deducted for taxes and insurance to the nearest dollar what is his monthly gross salary
Answers
Answer:
$3692Step-by-step explanation:
Let the gross salary be x.
Then after deduction it becomes:
x - 22% =x(1 - 0.22) =0.78xSince the amount is known, the gross salary is:
078x = 2880x = 2880/0.78x = 3692 rounded to whole numberAnswer: $3692
maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she, in feet, from her starting location?
Answers
Answer:
132 feet
Step-by-step explanation:
22+60+70
The distance of the Maria from her starting location is 109.9 feet.
What is trigonometry?Right angle triangles are the focus of the mathematical field of trigonometry. Calculations involving specific functions of angles are the focus of trigonometry.
In trigonometry, the following six functions are frequently used: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)
Let's call the distance Maria is from her starting location "x".
The 70 degree angle forms a right triangle with the distance Maria walked initially (22 feet) and the distance she is from her starting location (x). We can use the trigonometric function tangent to find x:
tan(70°) = x/40
Multiplying both sides by 40, we get:
x = 40 tan(70°)
Using a calculator, we find that tan(70°) is approximately 2.7475. Multiplying by 40, we get:
x = 109.9
So Maria is approximately 109.9 feet from her starting location.
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Please solve
2b+ 1/2a(b-2/3)-4ab
Show all your steps please!
Answers
Answer: Distribute:
=2b+(
1
2
a)(b)+(
1
2
a)(
−2
3
)+−4ab
=2b+
1
2
ab+
−1
3
a+−4ab
Combine Like Terms:
=2b+
1
2
ab+
−1
3
a+−4ab
=(
1
2
ab+−4ab)+(
−1
3
a)+(2b)
=
−7
2
ab+
−1
3
a+2b
Answer:
=
−7
2
ab+
−1
3
a+2b
Step-by-step explanation: done
[tex] \sqrt{122} + \sqrt{160} [/tex]
plz answer in root
Answers
Please help I will give anyone brainliest
Answers
Answer:
Equation: 190 = 6 + 23p
Answer: p = 8
Step-by-step explanation:
So first we have a total of $190 and regardless of how many people go, parking is going to cost $6 so that amount will be reduced from the total money they have for the amusement park. The rest left will go towards the tickets. That means the amount they have is $190-$6 = $184. 23 x the number of tickets = $184. You need to divide the 184 by 23 to get the number of tickets. Which is p in this situation. Therefore the answer for p would be 8. For the equation, you have 190 = 6 + 23p. Therefore those two is our answers.
Subtract the following polynomials. Write answer in a-b-c-d order. From 4a+7b-12c subtract 8a-9b+12d
Answers
[tex](4a+7b-12c)-(8a-9b+12d)\\4a+7b-12c-8a+9b-12d[/tex]
Negative multiply negative = Positive
Negative multiply positive = negative
[tex]-8a+4a+9b+7b-12c-12d\\-4a+16b-12c-12d[/tex]
Thus the answer is -4a + 16b - 12c - 12d.
PLEASE HELP I WILL GIVE BRAINLIST PLEASE
Answers
Answer: D: 4.5
Step-by-step explanation:
So the Equation I used for this would be
6(2x+3) = 3(6x-3)
In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with
12x+18=18x-9
-12x +9
27=6x
Divide to get X by itself
and your left with
4.5 = x
Hope it helped.
which is the correct answer?
Answers
Answer:
The answer is C.
Step-by-step explanation:
Square root of a negative number is non real.
19,432÷x=48 Remainder 232 (Plz help its for my hw that's due tmrw)
Answers
Answer:
x = 404.83
Step-by-step explanation:
The given expression is :
19,432÷x=48 ...(1)
We need to find the value of x.
[tex]\dfrac{19,432}{x}=48[/tex]
Cross multiplying both sides,
[tex]19,432=48x[/tex]
Dividing both sides by 48
[tex]\dfrac{19,432}{48}=x\\\\x=404.83[/tex]
So, the value of x is 404.83.
Answer:
x = 400
Step-by-step explanation:
To find x, you first need to subtract the remainder from 19,432.
That equals 19,200. Then you need to do 19,200 divided by 48.
x = 400
Hope this helps! :)
Solve the formula for the specified variable
Answers
The variable k can be expressed as follows:
k = 2D / f
How to find the variable in an expression?A variable is a number represented by a letter in an equation or expression.
The variables in the given equation are D, f and k.
But we were asked to make the variable k the subject of the formula.
Therefore,
D = 1 / 2 f k
cross multiply
f k = 2D
divide both sides by f
Hence,
f k / f = 2D / f
k = 2D / f
Therefore, the variable k can be expressed as follows:
k = 2D / f
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Helpppppp PLEASEEE GIVING BRAINLIEST
Answers
Answer:
-12x + 5 > -19
-12x > -24
x < 2
Combine like terms to simplify the expression:
y + 5 − y + 4 = ______
HELP!!!!!
Answers
9
Explanation
y+5-y+4
Since two opposites add up to zero, remove them from the expression
5+4
Add the numbers
9
Find the value of X for which log X, log (X+2) and log (X+16) are three consecutive terms of an arithmetic series.
Answers
Answer:
x=-2
Step-by-step explanation:
log x, log (x+2) , log (x+16) are in A.P.
2log (x+2)=log (x+2) +log (x+16)
log (x+2)²=log [(x+2)(x+16)]
(x+2)²=(x+2)(x+16)
x²+4x+4=x²+2x+16x+32
4x-18x=32-4
-14x=28
x=28/(-14)=-2
The measures of the angles of a quadrilateral are 3:8:7:2 find the measure of each angle
Answers
Answer:
Angle 1= 54°
Angle 2= 144°
Angle 3 = 126°
Angle 4 = 36°
Step-by-step explanation:
We are given measures of the angles of a quadrilateral are 3:8:7:2
Let the common ratio = x
The angles will be:
Angle 1= 3x,
Angle 2= 8x,
Angle 3 =7x
Angle 4 =2x
We know that sum of all angles of quadrilateral = 360°
We can write as: [tex]3x+8x+7x+2x=360[/tex]
Solving to find x,
[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]
We get value of x = 18
Now, finding angles:
Angle 1= 3x = 3(18) = 54°
Angle 2= 8x = 8(18) = 144°
Angle 3 =7x = 7(18) = 126°
Angle 4 =2x = 2(18) = 36°
Write in decimal form:
7 x 100 +
6 x 10 +
5x 1 +
0 (1/10) +
3* (1/100) +
7 x (1/1000)
Answers
Answer:
765 37/100
Step-by-step explanation:
The decimal form of the expression is 765.037
What is the decimal form?The decimal form is a way of expressing fractions and numbers as decimals.
In mathematical expressions, decimals are positioned in such a way as to differentiate between the whole number part and the fractional number part.
From the given information, we have:
[tex]\mathbf{=7 \times 100 + 6 \times 10 + 5\times 1 + 0 (\dfrac{1}{10}) + 3\times (\dfrac{1}{100}) + 7 \times (\dfrac{1}{1000})}[/tex]
[tex]\mathbf{=700+60 + 5+ 0 + \dfrac{3}{100} +\dfrac{7}{1000}}[/tex]
= 765.037
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(02.06 LC)
If one foot is the same length as 12 inches, how many inches equal 3.5 feet? (Only input whole numbers.)
Answer for Blank 1
Answers
Help lads and thank yooooooooooooouuuuu
Answers
Answer:
12 weeks.
Step-by-step explanation:
On the twelfth week they will both have saved $160.
hope this helps.
Which complex number has a distance of StartRoot 17 EndRoot from the origin on the complex plane?
2 + 15i
17 + i
20 – 3i
4 – i
Answers
Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:
[tex]d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}[/tex]
So indeed the answer is 4 - i
Answer:
d) 4-i
Step-by-step explanation:
on edge
You draw three cards from a deck of 52 cards, replacing the drawn card and re-shuffling the deck between each draw. What is the probability that you will draw a spade at least once? The answer is approximated.
42%
18%
58%
83%
Answers
Answer:
42%
Step-by-step explanation:
just makes sence I think
PLEASE PLEASE HELP
simplify:
tan²a (2 cos²a + sin²a − 1)
Answers
Answer:
we can describe this by using the formulas of Trigonometric functions..........Thank u.....
estimate first..Then fi d the exact quotient 4.9÷7=?
Answers
Answer:
0.7
Step-by-step
49 divided by 7 = 7
Since there is a decimal add a 0 in front of the 7. (0.7)
Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $62 and straight leg jeans for $38. If customer’s bought 4 times more bootcut than straight leg jeans and last month’s sales totaled $7,722, how many of each pair of jeans were sold?
Answers
Answer:
I think it's 150!!
Step-by-step explanation:
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answers
Answer:
1.25
Step-by-step explanation:
45 over 36 is 1.25
.o. >_< ._. .-. .>. .,. .O. .0. :o :O ;o ;O .
14 - {7 + 4 x 3 - [(-2)²x 2 - 6]} + (2² + 6 - 5 x 3) + 3 - (5 - 2³ : 2) =
Answers
Answer:
(2x²-7)
Step-by-step explanation:
14 −1 (19 − 4x²+6) + (2² +6 - 14-1 (25-4x²) + (2² +6 −5.
anwar built with an area 256 square feet. he wants to build a railing on three aides of the deck what is rhe total length of the railing he needs ?
Answers
Answer:
48ft
Step-by-step explanation:
What are equivalent fractions for 1/3?
Answers
Answer:
Its 3/6
Step-by-step explanation:
Answer:
one eqwivelent fraction that is = to 1/3 is 2/6 if u need more just comment and i will responed back
Step-by-step explanation:
what are the possible values of x for the following functions? f(x)=2-x/x(x-1)
Answers
The possible values of x for the following functions are values on real number except 0 and 1
Domain of a functionThe domain of a function are the values of the independent variable for which it exists.
Given the function below
f(x)=2-x/x(x-1)
The function does not exist at the. point where the denominator is zero. From the function given, the function does not exist when;
x(x -1) = 0
x = 0 and x = 1
Hence the possible values of x for the following functions are values on real number except 0 and 1
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Use differences to find a pattern in the sequence.
9, 16, 29, 50, 81, 124, 181
Assuming that the pattern continues, the eighth term should be
Answers
The 8th term of the pattern is 254.
Here the sequence is 9, 16, 29, 50, 81, 124, 181
By using differences we have :
9, 16 29 50 81 124 181
|___| |___| |___| |___| |___| |____|
↓ ↓ ↓ ↓ ↓ ↓
+7 +13 +21 +31 +43 +57
|____| |___| |___| |____| |____|
↓ ↓ ↓ ↓ ↓
+6 +8 +10 +12 +14
|____| |____| |___| |_____|
↓ ↓ ↓ ↓
+2 +2 +2 +2
Therefore to find the 8th value of the pattern
We will add 2 in 14
14 + 2 = 16
Now 16 should be added to 57
57 + 16 = 73
Now we will add 73 to the 181 we get
181 + 73 = 254
Therefore the 8th term of the pattern is 254 by using the difference.
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the cost of a cell phone varies directly with the number of minutes it uses.if it costs $73.25 to talk for 180 minutes , what is the cost to talk for 320 minutes?
Answers
Answer:I believe 786.34
Step-by-step explanation:
You divide 180 by 73.25 which is 2.46, then multiply this number by your 320 minutes to get the answer
Answer:
$128
Step-by-step explanation:
73.25/180 = 7325/18000 = 0.4
0.4 * 320 = 128
Hope this helps! :3
plz mark as brainliest!
Q7: Express each of the following:
a) 4.5m2 in cm2
Answers
1m2 = 10000cm2
4.5m2 = 25000cm2