Hi! I'm happy to help!
Point slope form states that y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]). m represents your slope (rise/run) and [tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent your first y and x points, and y and x represent your second y and x points. We already have our equation here:
y - 4 = 1/4(x- 8)
Now, let's dive into what slope-intercept form is. Slope intercept form states that y=mx+b. m represents our slope, b represents our y intercept, y represents a y point, and x represents the corresponding x point.
Since we know our m, we can solve for b, by using our other numbers. Let's use our first set of coordinates.
4=1/4(8)+b
4=2+b
2=b
Now our second set to double check:
2=1/4(0)+b
2=0+b
2=b
We know that b must equal 2, so our equation must be y=1/4x+2, which is option 3.
You should pick option 3.
(y-intercept is where the line hits the y-axis(when x=0). We could've used our second coordinates (0,2), where x equals 0 to know that 2 is the y-intercept (b). This shortcut only works on specific problems though.)
I hope this was helpful, keep learning! :D
Olivia bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 4-pack of juice bottles. The total cost before tax was $7.43. Which tape diagram
could be used to represent the context if x represents how much each bottle of juice
costs?
The required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.
Given that,
She bought a bag of popcorn for $3.39 and a 4-pack of juice bottles. The total cost before tax was $7.43.
To determine the diagram could be used to represent the context if x represents how much each bottle of juice costs.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the cost of each juice bottle be x.
Now,
accoding to the question,
4x = 7.43 - 3.39
Thus, the required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
A car uses 8 litres of gasoline to travel 160 km. How much gasoline will the car use to travel 400 km?
Answer:
20 liters of gasoline
Step-by-step explanation:
Create a proportion where x is the amount of gasoline needed to travel 400 km:
[tex]\frac{8}{160}[/tex] = [tex]\frac{x}{400}[/tex]
Cross multiply and solve for x:
160x = 3200
x = 20
So, the car will use 20 liters of gasoline to travel 400 km.
Answer:
The car will use 20 liters of gas
Step-by-step explanation:
160KM/8L = 20KM per liter
400/20 = 20
Write the equation of the line in fully simplified slope-intercept form.
Answer:
[tex]y=-6x+2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Given the graph, we determine which points we could use. For example, we could use the two points [tex](0,2)[/tex] and [tex](1,-4)[/tex]:
[tex]m=\displaystyle \frac{-4-2}{1-0}\\\\m=\displaystyle \frac{-6}{1}\\\\m=-6[/tex]
Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-6x+b[/tex]
2) Determine the y-intercept (b)
Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into [tex]y=-6x+b[/tex]:
[tex]y=-6x+2[/tex]
I hope this helps!
an odd interger can be represented by the expression n+ 2 where n is any odd integer find three consecutive odd intergerss that have a sum of - 51
Answer:
-15,-13,-11
n + (n+2) + (n+4) = -51
3n + 6 = -51
3n = -57
n = -19
-19,-17,-15
Step-by-step explanation:
2/5 as a decimal show how you got the answer
Answer:
0.4
Step-by-step explanation:
To convert a fraction into a decimal, simply divide the numerator by the denominator.
2 ÷ 5= 0.4
I hope this helps you.
Answer:
.4
Step-by-step explanation:
2/5
Multiply by 2/2
2/5 *2/2
4/10
.4
Slove 3(t-3)=5(2t-1)
Answer:
t = 7/-4 OR -1 3/4
Step-by-step explanation:
3(t - 3) = 5(2t - 1)
3t - 9 = 10t - 5
(3t - 3t) - 9 = (10t - 3t) - 5
-9 = 7t - 5
-9 + 5 = 7t (- 5 + 5)
-4 = 7t
-4/-4 = 7t/-4
t = 7/-4 OR -1 3/4
a right triangle has a non hypotenuse side length of 45" and the hypotenuse measures 53". What is the length of the other non-hypotenuse side?
Answer:
28"
Step-by-step explanation:
the length of the other non-hypotenuse side =
√(53² - 45²) =√(2809-2025) =√784 = 28"
Using Pythagorean theorem
[tex]\\ \rm\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \rm\longmapsto P^2=53^2-45^2[/tex]
[tex]\\ \rm\longmapsto P^2=2809-2025[/tex]
[tex]\\ \rm\longmapsto P^2=784[/tex]
[tex]\\ \rm\longmapsto P=\sqrt{784}[/tex]
[tex]\\ \rm\longmapsto P=28[/tex]
Solve the equation 7 (x+3) = 72-4 how may solutions does it have
Answer:
x = 47/7 or 6.714
Step-by-step explanation:
7 (x+3) = 72-4
7x + 21 = 68
7x = 68 - 21
7x = 47
x = 47/7 or 6.714
15 lbs of meat will be divided into portions of 1/4 lb each. How many portions can be made?
PLZZ ANSWER
hey please help i’ll give brain
Answer:
7
Step-by-step explanation:
Using the commutative property of addition
a+b = b+a
6+7=7+6
What is the length of YZ?
Select the best answer from the choices provided.
A.4
B.4.58
C. 5.29
D.10
Answer: C
Hello,
Step-by-step explanation:
WZ=7-3=4
YW²=XW*WZ=3*4=12 ==> WY=2√3
In the right triangle YWZ, using the Pythagorean's theorem:
YZ²=WY²+WZ²=12+4²=28
YZ=2√7≅5.29150....
Answer C
Find the supplement of 122 degrees 45'
Answer:
Step-by-step explanation:
Supplement angle is 57degree 15'
"You are growing like a weed!” D’rek's grandmother said to him when she saw him for the
first time in a year. If D’rek grew 8 inches over the last year, and an average dandelion (a
common weed) grows 0.1 inches in one day, is D’rek growing like a weed? Justify your
answer.
growth rate:
[tex]=\frac{8}{365}[/tex]Derek is not growing like a weed because the weed grows at 0.1 inch per day, while he grows at a rate of 0.022 inch per day.
The number of days in a year = 365
The question says that D'rek grew at the rate of 8 inches in the last year'
D'reks growth rate:
[tex]=\frac{8}{365}[/tex]
= 0.022 inch per day
From the calculation above, Derek is growing at the rate of 0.022 inch per day. But the question says that the weed grows at the rate of 0.1 inch per day
In conclusion, Derek is not growing like a weed, his growth rate differs from that of the weed.
Here is a similar question and solution https://brainly.com/question/1806491?referrer=searchResults
Use function notation to write y=-.2x-1 and build a table to find f(-1), f(0), f(10)
Cavenger of 92 miles in 2 2/3 hours if he drove a constant rate how far did he travel in one hour enter your answer as a whole number proper fraction or mixed number in simplest form
Answer:
34 1/2 miles
Step-by-step explanation:
92 miles = 2 2/3 hours
x miles = 1 hour
92 ÷ 2 2/3 = 34.5
34.5 x 1 = 34.5
34.5 miles = 1 hour
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Pablo works as a tutor and gets paid 6 an hour complete the table and graph to showthis relationship
Answer: Total Pay = 6X
Step-by-step explanation: This assunes the question wants to know how to calculate Pablo's earning for a given tutoring time.
Pablo's rate is $6/hr. Set X to the number of hours of tutoring. Pablo's total pay would be:
Total Pay = 6X
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. The college professor tells you he will give you a 33% to 67% split on grades between tests and homework where which ever average is higher will be the 67%. What was your final grade be if your homework average is 52 and your test average is 71?
Using weighed mean, it is found that the final grade is 64.73.
--------------------------
To find the weighed average, we multiply each grade by it's weight.
--------------------------
Since we want to find the weighed average, we have to identify in the text the grades, and it's respective weighs.
Grade of 71, with a weight of 67%(as it states in the text, the higher grade has a weight of 67%).Grade of 52, with a weight of 33%(as it states in the text, the lower grade has a weight of 33%).Thus, the final grade is:
[tex]F = 71\times0.67 + 52\times0.33 = 64.73[/tex]
The final grade was of 64.73.
A similar problem is given at https://brainly.com/question/23731238
Please Help!!!
write the expression as the sine or cosine of an angle.
sin 3x cos x - cos 3x sin x
In other words, you'll type "sin" without quotes in the green box.
Also, you'll type "2" in the gray box, which also won't have quotes.
===========================================================
Explanation:
We'll use the first hint. Note the pattern of sin cos +- cos sin which matches (somewhat) with the original expression.
Specifically, we'll use this identity
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
In this case, A = 3x and B = x
So,
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
sin(A)cos(B) - cos(A)sin(B) = sin(A - B)
sin(3x)cos(x) - cos(3x)sin(x) = sin(3x - x)
sin(3x)cos(x) - cos(3x)sin(x) = sin(2x)
24)
12
21
X
84
91
28
Answer:
13
Step-by-step explanation:
12×7 = 84,
so the scale ratio is 1/7
now 91×1/7
= 91/7
= 13
plzz solve the question
Answer:
a.8x^2+18x+9
8x^2+(9+2)x+9
8x^2+2x+9x+9
2x(4x+1)+9(x+1)
(2X+9)+(4x+1)+(x+1)
__________________________________________________________________________________
__________________________________________________________________________________
_________________________________________________________________________________
Answer:
wow
Step-by-step explanation:
very interesting
Sonia finished the 200-meter dash in 26.12 seconds. Gladys finished the 200-meter dash 1.08 seconds
faster than Sonia. How long did it take Gladys to run the 200-meter dash?
O 25.04 seconds
O 26.20 seconds
O 27.04 seconds
O 27.20 seconds
Answer:
25.04
Step-by-step explanation:
26.12-1.08
=25.04
Answer:
25.04
Step-by-step explanation:
For this problem we have to use subtraction
If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time
So we get 25.04
Hope this helps! :D
1.) 0.66666666667 is a natural, whole, integer, rational or irrational number
Answer:
irrational i think
Step-by-step explanation:
I need help with this one
if tanA=1/3, tanB=-1/2, find the value of A+B
hope it helps you.........
A car at a red light accelerates for 5 seconds and is now travelling 25 m/s. What was the car’s acceleration?
Answer:
5 m/s²
Step-by-step explanation:
t (time) = 5 s
u (initial velocity) = 0m/s
v (final velocity) = 25m/s
a = (v-u)/t
a = (25-0)/5
a = 25/5
a = 5 m/s²
Eexperts can you in step by step none is helping me plz
Answer:
hope this help you
God bless you
If Greg can do a job in 6 hours, and pepper can do that same job in 5 hours, how long will it take to complete the job if they work together
5 hours and 30 minutes ya que ambos trabajaran la mitad del trabajo
Determine what fraction of the square is shaded
Explain your reason
Answer:
is the picture moving or am I tripping
Step-by-step explanation:
I think 1/4
What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C. –3/4 D.4/3
C.-3/4................