whats the x and y-intercepts? y=5x−13,
Step-by-step explanation:
So in a linear function, it follows the form of y=mx+b where m is the slope of the graph (rise/run) and b is the y-intercept.
Since b is (-13) that is the y-intercept.
This can also be confirmed by making x=0 since that is where the y-intercept occurs.
y=5x-13
y=5(0)-13
y=-13
To find the x-intercept, we need to make y equal zero since that is where x-intercepts are found.
0=5x-13
(now solve using algebra to isolate x)
(add 13 to both sides)
13=5x
(divide 5 from both sides)
13/5 = x
2.6=x
Your y-intercept is -13 and the x-intercept is 13/5.
Hope this Helps :D
Answer:
x-intercept: (2.6, 0) or [tex](\frac{13}{5},0)[/tex]
y-intercept: (0, -13)
Step-by-step explanation:
Because the equation is written in slope-intercept form using the formula
[tex]y=mx+b[/tex]
b = y-intercept
y-intercept will be (0, -13)
To find x-intercept basically substitute 0 for y and solve for x
so x-intercept will be [tex](\frac{13}{5},0)[/tex] or simplified (2.6, 0)
Community planners are planning to build a new community garden. They agree that the garden will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the length would remain at 15.8 yards but that the width would increase by 5.2 yards. So, the garden would now cover an area of 327.65 square yards.
Which equation can be used to determine the original width of the garden, w?
1: 327.65 = 5.2 (w + 15.8)
2: 327.65 = 15.8(w +5.2)
3: 327.65 = 2 (w +21)
Answer:
2)
Step-by-step explanation:
To find the original width, multiply 15.8 by w, and by 5.2.
You'll get 327.65 = 15.8w + 82.16.
Next, do the opposite of the symbol from both sides, 327.65 - 82.16 = 15.8w + 82.16.
The constant is 82.16, and the symbol is +, the opposite of plus is -, and thus subtract the constant from both sides.
You'll get 245.49 = 15.8w.
Now do the opposite of the symbol (a number next to a variable is multiplication, so do division, and divide 15.8 on both sides.
245.49/15.8 = 15.8w/15.8, which equals 15.5373417722.
when you have an inequality with a variable on both sides what would you use to put all variables on one side and all constants on the other?
Answer:
Properties of Inequality
Addition Property of Inequality[tex]x - 3 = 9\\x-3 +3 = 9 + 3\\x= 9 + 3[/tex]
Subtraction Property of Inequality[tex]x+3<9\\x+3-3<9-3\\x<9-3[/tex]
Multiplication Property of Inequality[tex]\frac{1}{2}x<4\\\frac{2}{1} * \frac{1}{2}x < 4 * \frac{2}{1}\\x < 8[/tex]
Division Property of Inequality[tex]2x < 4\\\frac{2x}{2} < \frac{4}{2}\\x < 2[/tex]
Note: When you multiply or divide with a negative number. Flip the sign.
Step-by-step explanation:
search it up
2. Which of the following shows a translation of f(x) two units to the left?
f(x - 2)
f(x)-
f(x + 2)
f(x) + 2
Answer:
f(x + 2)
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the left of a units
Here f(x) is translated 2 units to the left , then f(x + 2)
need help plssss!!!!
should I call 911 !!!!!!!!!!!!!!
What is the slope I need the answer fast
gradient=∆ in y values /∆ in x values
Step-by-step explanation:
pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹
answer and please show the work.
Answer:
[tex]y=\displaystyle\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in 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 on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (4,-1) and (0,3)
[tex]m=\displaystyle\frac{-1-(-3)}{4-0}\\\\m=\displaystyle\frac{2}{4}\\\\m=\displaystyle\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex] :
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
The y-intercept occurs when x=0. Because we're given that (0,-3), the y-intercept is therefore -3.
[tex]y=\displaystyle\frac{1}{2} x-3[/tex]
I hope this helps!
Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.
The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.
Flat costs and Variable costThe total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.
Total cost = flat cost + variable cost
Determination of the equation required to solve for the gigabytes neededThe flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.
$43.60 = $37 + $3x
The gigabytes neededIn order to determine the value of x, combine similar terms together
$43.60 - $37 = $3x
6.6 = $3x
Divide both sides by 3
6.6/3 = x
x = 2.2 gigabytes
To learn more about flat costs, please check: https://brainly.com/question/25879561
what is the value of x?
Answer:
so x = 80
Step-by-step explanation:
Any triangle, no matter what type will add up to a total of 180, so 70+30= 100, and you now subtract that 100 from 180 and you 80
kimi is running for student body president. her friend, sarah, already helped by posting 12 of her campaign signs around the school. now kimi id posting the rest at a rate og 1.5 signs per minute. write an equation that shows the total number of signs posted, y, depends on the number of minutes
what is the slope of (-1,6) and (2,3)?
Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:
[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]
Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:
[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]
[tex] \implies \mathsf{ - 1 }[/tex]
Hence, the slope of the line joining the given points is -1.
Answer:
-1
Step-by-step explanation:
What is -12 3/4 + -5 1/2? Write your answer as a mixed number in simplest terms.
what type of graph is used to display categorical data?
Answer:
bar chart..
Step-by-step explanation:
Mrs. Ashton buys journals for the students in her language arts class. She pays $64.48 for all of the journals. If there are 26 students in her class, how much does each journal cost?
Answer:
Each journal costs $2.48
Step-by-step explanation:
Let X be the cost of a single journal.
You can write this equation to represent the problem:
26x = 64.48
(26 times the cost of the journal is $64.48)
Then just solve for x by dividing both sides by 26:
[tex]26x=64.48\\\frac{26x}{26} =\frac{64.48}{26}\\x=2.48[/tex]
Each journal costs $2.48
What is equivalent to 1/3 P +15
Answer:
1/3(p + 45)
Step-by-step explanation:
1/3 p + 15 is the same as 1/3(p + 45)
-Chetan K
Solve for r.
-27 = r/10 - 36
r =
cho tâp m của 120 số tự nhiên mà mỗi số thì chia hết cho 5 hoặc chia hết cho 7 hoặc chia hết cho 5 và 7 . Biết rằng số ấy có 71 số chia hết cho 5 và 63 chia hết cho 7. Hỏi tập M có bao nhiêu số chia hết cho 35?
Answer:
I don't understand you
Step-by-step explanation:
plss translate to English
Five students sold lemonade and earned a total of $21.30. If they equally split their earnings, how much would each student receive?
Answer:
$4.26 each
Step-by-step explanation:
21.30 divided by 5 equals 4.26
(had to do it in words because I only have + - = )
Find the GCF of the set of numbers.
8 and 12
Enter the correct answer in the box.
Answer:
4
Step-by-step explanation:
prime factorization of 8 is 2x2x2
prime factorization of 12 is 2x2x3
2x2 are the only common factors, therefore GCF is 4
Answer:
4 is the GCF
Step-by-step explanation:
12/4 = 3
8/4 = 2
What is one geometrical fact explained in the lecture that reflects the mathematical technique da Vinci used in The Last Supper? a. He doesn?t use mathematics in the painting. B. He uses trigonometry to find the exact place where each thing should be located and create the picture plane. C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.
Answer:
C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.
Step-by-step explanation:
See attached. We can see that this option is the best as it reflects what we can see in the painting.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
c
Step-by-step explanation:
-2r+11=13 2r=2 r= I need help
Answer:
-2r = 2 - Subtract 11 from both sides
r = -1
I’ll give brainliest, thanks and 5 stars
the diameter of a pool is 28 m. the circumference of the deck is 101 m. what is the area of the pool and deck?
Answer:
ok
Step-by-step explanation:
soln,
d=28m
r=d/2=28/2
=14m
now,
[tex]\pi {r}^{2} [/tex]
22/7×(14×14)
22/7×196
=616m^2
I'm confused on if it's 3 or 2
Answer:
it's 3 cause if u do 1 2 3 there are 3 hearts and they are broke up in half so 6
Help me with this question please!! Show all work
Answer:
439
Step-by-step explanation:
The denominator simplifies to 106/15
The question becomes
3+1/(106/15)=3+15/106=333/106
Therefore m+n=439
Please Help Me :) I'm giving brainliest to correct answers only and No LiNkS.
Answer:
c
Step-by-step explanation:
it makes the most sense
if a system of linear equations has infinitely many solutions
If 2x-3y=3 find 16^x/64^y
a. 4
b. 8
c. 16
d. 64
Answer:
D. 64
Step-by-step explanation:
Did you mean: if 2x−3y=3 what is 16x64y? That fraction equals 42x−3y, so the answer would be 43, which is 64.
What is the solution to -4(8 - 3x) >_6x -8?
O x >_-4/3
O x<_-4/3
O x>_4
Ox<_4
1 4/7 divided by 3 2/3
[tex] \frac{3}{7} \\ \\ in \: \: alternate \: \: form \\ \\ 0.428571[/tex]
hope it helpssee the attachment for explanation
The sum of two consecutive even numbers is 214. What are the numbers?
Step-by-step explanation:
since they are consecutive even numbers, one is bigger by 2 than the other number.
so,
x + (x + 2) = 214
2x + 2 = 214
x + 1 = 107
x = 106
so, the 2 numbers are 106 and 108.