State the x-intercept, y intercept and the slope for each graph. Then write an equation in slope intercept form
Answers
Answer:
1.
x-intercept = 8/5
y-intercept = -4
m = 1.5 (or 5/2)
equation: y = 1.5x - 4
2.
x-intercept = -1/2
y-intercept = -3
m = -6
equation: y = -6x - 3
Useful things to note:
Definition of a y-intercept: The y value when x = 0.
Definition of a x-intercept: The x value when y = 0.
Definition of the slope-intercept form: y = mx + b
b = the y-interceptStep-by-step explanation:
1.
We don't know the x-intercept yet, but we can easily find the y-intercept.
So on the x = 0 line, we see there's a point right at (0, -4). So, the y-intercept is at -4.
The other point that's given is (2, 1). This is useful for getting the slope-intercept form.
y = mx + b
Lets solve for m.
When solving for m in the slope-intercept form, we replace x and y with an available point. For this we'll use (2, 1). We already know that b = the y-intercept, which is -4. Combining these two facts, we get this equation:
1 = 2m - 4
Let's solve this:
1 = 2m - 4
1 + 4 = 2m -4 + 4
5 = 2m
5/2 = 2m/2
1 1/2 = m
or
1.5 = m
Now that we have m, we can easily get the equation!
b = -4
m = 1.5
replacing those in the slope-intercept formula, we get:
y = mx + b
y = (1.5)x + (-4)
equation: y = 1.5x - 4
in order to finally find the x-intercept, we find where x is when y = 0. (I'm going to use m = 5/2 for easiest convenience. All of those values work though :) )
y = 5/2x - 4
make y = 0
0 = 5/2x - 4
0 + 4 = 5/2x - 4 + 4
4 = 5/2x
4*(2/1) = 5/2x*(2/1)
8 = 5x
8/5 = 5x/5
8/5 = x
2.
We don't know the x-intercept yet, but we can easily find the y-intercept.
So on the x = 0 line, we see there's a point right at (0, -3). So, the y-intercept is at -3.
The other point that's given is (-1, 3). This is useful for getting the slope-intercept form.
y = mx + b
Lets solve for m.
When solving for m in the slope-intercept form, we replace x and y with an available point. For this we'll use (-1, 3). We already know that b = the y-intercept, which is -3. Combining these two facts, we get this equation:
3 = -1m - 3
Let's solve this:
3 = -1m - 3
3 + 3 = -1m -3 + 3
6 = -1m
6/-1 = -1m/-1
-6 = m
or
-6 = m
Now that we have m, we can easily get the equation!
b = -3
m = -6
replacing those in the slope-intercept formula, we get:
y = mx + b
y = (-6)x + (-3)
equation: y = -6x - 3
in order to finally find the x-intercept, we find where x is when y = 0.
y = -6x - 3
make y = 0
0 = -6x - 3
0 + 3 = -6x - 3 + 3
3 = -6x
3/(-6) = -6x/(-6)
-3/6 = x
simplify
-1/2 = x
Related Questions
Add: 4 1/8 + 2 1/16 PLEASE HURRY IM TIMED AND I CANT FAIL OR ELSE I WILL BE GROUNDED BECAUSE I FAILED M6 LAST ONE SO PLEASE HURRRYYYYYYY THE TEACHER MADE IT NO SINCE WHEN TEACHING IT TO MEEEE
Answers
Answer: It equals 99/16
Step-by-step explanation:
Answer:
8 3/16
Step-by-step explanation:
i think
PLEASE HELP!! i’ll give brainliest!
Answers
Find the exact value of each variable. Will Get BRAINLIEST If Questions Are Correct.
Answers
Answer:
x=12/square root is 2
y=12/square root is 3
z=24/square root is 3
Step-by-step explanation:
did the math
Answer:
x=12/square root is 2
y=12/square root is 3
z=24/square root is 3
Step-by-step explanation:
brainliest
Determine if the events are mutually exclusive.
On a visit to Fire Island, see the lighthouse. See the historical mansion.
yes, the two events are mutually exclusive
no, the two events are not mutually exclusive
Answers
Exercise 41
To measure the width of a river, you plant a stake on one side of the river, directly across from a boulder.
You then walk 100 meters to the right of the stake and measure a 79° angle between the stake and the
boulder. What is the width w of the river? Round your answer to the nearest meter.
Mattraimale
079
100 m
PUR
m
Answers
Answer:
514 m = width of the river to the nearest meter
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
You have a right triangle where the 100 m is the adjacent side to the 79° angle. You are looking for the side opposite the 79° angle. So, you need to use the tan function which is defined as opposite side/adjacent side
Let x = the length of the opposite side (width of river)
Tan 79 = x/100
100 tan 79 = x
x = 514 m = width of the river to the nearest meter
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The width of the river is 514.455 meters.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that you walk 100 meters to the right of the stake and measure a 79° angle between the stake and the boulder. Therefore, using the tangent angle the width of the river can be written as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\\\\\\\rm tan(79^o) = \dfrac{\text{Width of the river}}{100\ meter}\\\\\\\text{Width of the river} = tan(79^o) \times 100 = 514.455\ meters[/tex]
Hence, the width of the river is 514.455 meters.
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ASAP i need help with this. I will give you brainlist
Part A
Students at Sunnyside Middle School are selling tickets to the annual talent show. Below is a table showing ticket prices for students and adults.
Talent show ticket prices
Student Price $3
Adult Price $5
What amount of money would be collect if 60 students and 30 adults bought tickets? Show or explain how you got your answer.
Part B
For this part define s and a as follows:
S= number of students tickets purchased
A= number of adult tickets purchased
The total of all tickets sold was $625.00. Write an equation in items like of s and a to represent this information
Part C for this part define a and a as follows:
S= number of adult tickets purchased
A=number of adults tickets purchased
The total number of students and adults who bought tickets is 165. Write an equation in terms of a and a to represent this information.
Part D
Using the information in parts (b) and (c), determine the following:
The number of students who bought tickets
The number of adults who bought tickets
Show or explain how you got each of your answers.
Answers
5x30=150
150+180=330 sry only doing part A
Find the 6th term of the geometric sequence whose common ratio is 1/3 and whose first term is 8.
Answers
Answer:
.033
Step-by-step explanation:
6th term = 8(1/3)^7
Jack is selling holiday ornaments and boxes of candy. Each ornament is $1.50 and
each box of candy is $3.00. Jack sold a total of 15 items for $27. How many boxes of
candy did he sell?
Answers
Answer:
x = 12, y =
Step-by-step explanation:
Let x=# of Ornaments and y=# of boxes of candy. The system of equations is:
x + y = 15
1.5x + 3y = 27
And solve via elimination
1.5 x = 18
x = 12, y =3
HAVE A GOOD DAY
Stella went shopping for a new camera. Sales tax where she lives is 6%. The price of the camera is $50. Find the total price including tax. Round to the nearest cent.
Answers
Answer:
$53
........................
50$ 100%
X=106•50/100
X=53$
Cost of camera with 6% tax is $53.00
In a math class of 35 students, 17 boys and 18 are girls. On a unit test, 8 boys and 12 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a boy or an A student?
Group of answer choices
0.57
0.71
0.83
0.09
Answers
Answer:
.83
Step-by-step explanation:
In order to find the probability that either a boy or an A student is chosen, you must first identify how many boys and A students there are altogether in the class:
9 boys who are not A students + 8 boys who are A students + 12 girls who are A students = 29 students are either boys or A students
Now, you just need to turn this into a probability:
1: 29/35 (given)
2: ≈82.86/100 (multiply both the numerator and denominator by 100/35)
3: ≈83% or .83 (round to the ones place and turn into a decimal)
what is 12+ 15x please
Answers
Answer: 15x+12
Step-by-step explanation: This expression is already simplified :( You can reverse the coefficients though! Both will still be equal, but you can’t simplify anymore.
This submarine is at -3.
Select ALL the ways to move it to -5.
Answers
Dale just bought 9 bags of 13 cookies each. He already had 6 cookies in a jar. How many cookies does Dale have now?
Answers
Answer:
123
Step-by-step explanation:
1 bag = 13 cookies
9 bags x 13 cookies = 117 cookies
117 cookies + 6 cookies that he already has = 123 cookies
Dale have 123 cookies in total.
Answer:
123 cookies.
Step-by-step explanation:
Multiply the amount of bags of cookies he bought, and the amount of cookies in each back to find out the amount of cookies he bought all together.
9 x 13 = 117
He already had six cookies saved. Add that the amount he had bought
117 + 6 = 123
Dale has 123 cookies in total.
image down below plz help
Answers
Answer:
12 boys and 18 girls
Step-by-step explanation:
the ratio from boys to girls is 2 to 3
12/2=6
18/3=6
both equal 6 meaning that both are proportional meaning that A is the correct answer
Answer:
a.
Step-by-step explanation:
12 and 18 is equal to 2/3
suppose that a data set has an approximately symmetrical distribution, with one outlier. what could you do if you wanted to use the mean and standard deviation to characterize the data?
Answers
Answer:
The median is known as a measure of location; that is, it tells us where the data are. As stated in , we do not need to know all the exact values to calculate the median; if we made the smallest value even smaller or the largest value even larger, it would not change the value of the median. Thus the median does not use all the information in the data and so it can be shown to be less efficient than the mean or average, which does use all values of the data. To calculate the mean we add up the observed values and divide by the number of them. The total of the values obtained in Table 1.1 was 22.5
Missing alternative text , which was divided by their number, 15, to give a mean of 1.5. This familiar process isconveniently expressed by the following symbol\
hopefully u understand
[tex]7 + 3(x - 1) = [/tex]
Answers
Answer:
4 + 3x
Step-by-step explanation:
7 + 3 (x - 1)
7 + 3x - 3
4 + 3x
30 points!!! The polygons in each pair are similar. Find the missing side length. *
Answers
After applying the similarity concept in the given polygons the length of the missing side we get 24 units.
The similarity of two polygons refers to the property of having the same shape but possibly different sizes.
Two polygons are considered similar if their corresponding angles are equal, and the ratio of the lengths of their corresponding sides is constant.
Labeling the given figure we have:
AB = 30
EF = 25
EH = 20
Let the missing side AD = x
Applying the similarity concept we get,
[tex]\frac{AB}{AD} = \frac{EF}{EH}[/tex]
Put the values we get,
⇒ [tex]\frac{30}{x} = \frac{25}{20}[/tex]
⇒ [tex]\frac{30}{x} = \frac{5}{4}[/tex]
⇒ x = 24
Hence,
The length of a missing side AD is 24 units.
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Question 4:
b
S
You and your three friends take turns taking random samples of 10 jellybeans from a jar of
800 jellybeans. All the jellybeans are returned to the jar and mixed in, before the next sample
is taken out. The table shows the number of different coloured jellybeans in each sample.
Sample
1
2
3
4
Red
6
4
5
4
Yellow
1
3
2
4
White
3
1
2
1
Green
0
2
1
1
1
a) For each sample what is the experimental probability of picking a red jellybean?
Sample 1:
Sample 2:
Sample 3:
Sample 4:
aww
Answers
Answer:
.op
Step-by-step explanation:
IM CONFUSED. WILL GIVE BRANLIEST What is the value of x?
6
63√
12
123√
Answers
Answer:
i'd say it's x=6
Step-by-step explanation:
........
Answer:
i believe x = 123√
i hope this is the answer your looking for
Step-by-step explanation:
Please help me! How this formula transform in this formula plssss. Show me the solving steps plss
Answers
9514 1404 393
Answer:
(-A/8)(1+9i)(-A/8)(1+9i)Step-by-step explanation:
Let's start with the expression 1/(1+i). It is simplified by multiplying numerator and denominator by its conjugate.
[tex]\dfrac{1}{1+i}=\dfrac{1-i}{(1+i)(1-i)}=\dfrac{1-i}{2}[/tex]
Subtracting this from 1, as in the denominator inside parentheses, gives its conjugate.
[tex]1-\dfrac{1-i}{2}=\dfrac{1+i}{2}[/tex]
__
The 5th power can be found a couple of ways. One is to use the binomial expansion. Another is to use Euler's formula. The latter can be somewhat easier.
[tex]\dfrac{1-i}{2}=\dfrac{1}{\sqrt{2}}\angle-\!45^{\circ}\\\\\left(\dfrac{1-i}{2}\right)^5=\dfrac{1}{\sqrt{2^5}}\angle(5(-45^{\circ}))=\dfrac{1}{4\sqrt{2}}(\cos(135^{\circ})+i\sin(135^{\circ}))\\\\=\dfrac{1}{8}(-1+i)[/tex]
With these parts, we can now write the first expression as ...
[tex]\displaystyle\frac{A}{i+i}\left(\frac{1-(\frac{1}{1+i})^5}{1-(\frac{1}{1+i})}\right)=A\left(\frac{1-i}{2}\right)\left(\frac{1-\frac{-1+i}{8}}{\frac{1+i}{2}}\right)=\frac{A}{8}\cdot\frac{1-i}{1+i}\cdot(9-i)\\\\=\frac{A}{8}\cdot\frac{(1-i)^2(9-i)}{1^2-i^2}=\frac{A(-2i)(9-i)}{8\cdot2}=\boxed{-A\frac{(1+9i)}{8}}[/tex]
__
Using the same parts, we can simplify the second expression.
[tex]\displaystyle\frac{A}{i}\left(1-\left(\frac{1}{1+i}\right)^5\right)=\frac{A}{i}\cdot\frac{(9-i)}{8}=\frac{A(9-i)(i)}{8i^2}=\boxed{-A\frac{(1+9i)}{8}}[/tex]
HURRY PLEASEEEE FASTTT
find the value of x.
Answers
Jasmine enlarged a drawing she made in art class. What is the value of x
Original smaller drawing=2.5-Width 4-height / Enlarged drawing = Width - x Height- 60
Answers
5) Original: 47
New: 120
a. 39.7% increase
b. 155.32% increase
c. 39.7% decrease
d. 155.32% decrease
Answers
What would the last three be?
Answers
Answer:
2/2 = 4/4 = 8/8 = 16/16
Step-by-step explanation:
2/2 = 4/4 = 8/8 = 16/16
IF U ANSWER FIRST U GET BRAINLIEST (BUT HAS TO BE CORRECT)3/x=x/12
Answers
Answer:
Correct answer is + or - 6
3/x = x/12
cross multiply
x^2 = 36
x = root 36
x = plus or minus 6
Answer:
6
to solve this. = 3/x = x/12
=}. 3/x = x/12
by doing cross multiple
we get x^2 = 36
so, x=. √36
x=. 6
hope it helps
1. Solve the triangle.
AABC, given ZB = 57°, ZC = 720,
and b = 18 m.
Answers
Answer:
Angle A= 61°
Step-by-step explanation:
angle A+ Angle B+Angle C= 180°( Angle sum property)
∠A+57+72= 180°
∠A= 180°- 127°= 61°
i really need help asap!!
Answers
Answer:
X = 16
Step-by-step explanation:
These are supplementary angles, so they equal 180.
5x + 27 + 5x - 7 = 10x + 20
10x + 20 = 180
10x + 20 - 20 = 180 - 20
10x = 160
10x ÷ 10 = 160 ÷ 10
X = 16
Hope that helped you and have a good day!
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
What is the area of the photo that fits the frame?
Answers
area= length x width
16 x 12= 192 in
Answer: 192
Step-by-step explanation: 16*12=192
A plumber charges $18 for transportation and $27 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.
Answers
Total = price per hour x number of hours + travel fee.
Total = 27h + 18
17. A line passes through the points (0,5) and (3, 11). Which of the following is the value of y when this line passes through x = 10? (1) 16 (3) 21 (2) 19 (4) 25
Answers
Answer:
(4) 25
Step-by-step explanation:
First, find the slope using rise over run:
(y2 - y1) / (x2 - x1)
Plug in the points:
(11 - 5) / (3 - 0)
6 / 3
= 2
The y intercept, (0, 5), has already been given. Using the equation y = mx + b, plug in the slope and y intercept to create the equation:
y = mx + b
y = 2x + 5
Now, plug in 10 as x to find the value of y:
y = 2x + 5
y = 2(10) + 5
y = 20 + 5
y = 25
So, the correct answer is answer choice 4, 25.
The value of the variable 'y' at x = 10 will be 25. Then the correct option is D.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
A line passes through points (0,5) and (3, 11). Then the equation of the line is given as,
(y - 5) = [(11 - 5) / (3 - 0)](x - 0)
y = 2x + 5
If the value of the variable 'x' is 10, then the value of the variable 'y' is calculated as,
y = 2(10) + 5
y = 20 + 5
y = 25
The value of the variable 'y' at x = 10 will be 25. Then the correct option is D.
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