Answer:
y = - [tex]\frac{1}{4}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line
m = [tex]\frac{-4+3}{4-0}[/tex] = - [tex]\frac{1}{4}[/tex]
Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = - [tex]\frac{1}{4}[/tex] x - 3 ← equation of line
Eleana and her grandfather both had birthdays last week.
• The sum of their ages is 100 years.
• Her grandfather's age is 4 times Eleana's age.
How old is Eleana and her grandfather?
Answer:
Eleana is 20 years old and her grandfather is 80 years old.
Step-by-step explanation:
So first off, we want to make variables to represent Eleana and her grandfather.
Let x represent Eleana's age.
Since her grandfather is four times older than Eleana,
The expression should be 4x+x=100
Step One
Add the x's together and you get 5x=100.
Step Two
Divide both numbers by 5 to solve for x.
x=20
points and brainliest!
is this a function?
true or false
Answer:
false
Step-by-step explanation:
it fails the vertical line test, (x cannot be equal to 2 or more y values or its not a function)
To check if a graph is a function, we use the vertical line test. If your run a vertical line over the function, are there any places where the line intersects the graph more than once? If so, it's not a function.
In this case, if we have a line at x = 0, the line will go through more than one point - (0, 0) and (0, 3.1) [exact value doesn't matter, what matters is that there's a point there]. That means that this is not a function, so the statement is false.
pls help thankssssssssssssssssssssssssssssss
Answer: The answer is 525.
Step-by-step explanation:
7*(5)^2*(3)= 525
can someone please help me i would be very grateful
Questions 4,5,6,7,8,9
HELP
is the sequence 1,0,-1,0 geometric
Answer:
no
Step-by-step explanation:
there has to be a common value that they are all multiplied by
wo lengths of a triangle are shown. wo lengths of a triangle are shown. Triangle J K L. Side J K is 5 inches and side J L is 10 inches. Which could be the length of Side K L? 4 in. 9 in. 16 in. 19 in.Triangle J K L. Side J K is 5 inches and side J L is 10 inches. Which could be the length of Side K L? 4 in. 9 in. 16 in. 19 in.
Answer:
B/2: 9 inches
Simplify:
(18)2(3)2(4)3
(6)2(2)3
A) 81
B) 124
C) 140
D) 648
Answer:
The value of a = 4 and b = 3 make the equation true, the correct option is D.
Step-by-step explanation:
Square root
The square root is defined as the value given the original value.
Given information
Equation;
The values of a and b are;
On comparing with the equation both sides;
The value of a is 4 and b is 3.
Hence, The value of a = 4 and b = 3 make the equation true, the correct option is D.
Patel is solving 8x? + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options,
Answer:
8x+16x+3=0
24x+3=0
24x=3
x=24÷3
x=8
x- 8.75 = 7.63 helppppp
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------
Answer: X = 16.38
To see what X equals, you need to do the inverse of the operation use.
For example, this equation uses subtraction, so to solve it we use addition.
||
\/
8.75 + 7.63 = 16.38.
So, 16.38 - 8.75 = 7.63.
can someone please help
Answer:
Step-by-step explanation:
1)
[tex]\frac{5}{24}+\frac{2}{3-x}=\frac{1}{4}\\\\\frac{5}{24}-\frac{1}{4}=\frac{-2}{3-x}\\\\\frac{5}{24}-\frac{1*6}{4*6}=\frac{-2}{3-x}\\\\\frac{5-6}{24}}=\frac{-2}{3-x}\\\\\frac{-1}{24}}=\frac{-2}{3-x}\\\\\\(-1)*(3-x)=(-2)*24\\\\-1*3-(-1)*x = -48\\\\-3 + x = -48\\\\x = -48 + 3\\\\x = -45[/tex]
x = -45
2)
Can you explain it and help me out please
Answer:
D. two real solutions
Step-by-step explanation:
p²+5 = 6p
p² - 6p +5 =0
D = b² - 4ac = (-6)² - 4*(1)*5 = 36 - 20 = 16
D > 0, so this equation has 2 real solutions
a 3rd grade teacher has 55 students everyday if those 55 students turned into 100 students how many students would it be.
Answer:
45 because you have to subtract 100-55 which would equal 45
Answer:
Yeah it would be 45
Step-by-step explanation:
Because:
100 - 55 = 45
What is the volume of this cylinder?
Use n = 3.14 and round your answer to the nearest hundredth.
Answer:
12762.72 cubic meters
Step-by-step explanation:
The volume of a cylinder is denoted by the formula: [tex]V=\pi r^{2} h[/tex], where r is the radius and h is the height.
Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.
Now substitute these values into the equation:
[tex]V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72[/tex] cubic meters
Hope this helps!
Answer:
[tex]12769.19m^{3}[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]\pi r^{2}[/tex]
To work this out you would first have to find the area of the circle. To do this you would first divide 37.6 by 2, which gives you 18.8. Then to find the area you would multiply pi by 18.8 squared, which gives you [tex]1110.36m^{2}[/tex]. Then To find the volume you would multiply 1110.36 by 11.5, which gives you [tex]12769.19m^{3}[/tex].
To find the volume of a prism you would find the area of the main face and multiply it by the height.
1) Divide 37.6 by 2.
[tex]37.6/2=18.8[/tex]
2) Multiply [tex]\pi[/tex] by 18.8 squared.
[tex]\pi *18.8^{2}=1110.36m^{2}[/tex]
3) Multiply 1110.34 by 11.5.
[tex]1110.36*11.5=12769.19m^{3}[/tex]
Remember when finding the area, thee answer is always going to be squared.
Remember when finding the volume the answer is always going to be cubed.
help meeeeeeeeeeeeeeee
Answer:
2 years
Step-by-step explanation:
My nephew was playing with a book and tore out the pages 7, 8, 100, 101, 222 and 223.
How many sheets did he tear out?
Answer:
Step-by-step explanation:
A sheet has 2 pages
6 pages are torn. So 6 ÷ 2 = 3 sheets
Answer:
3 pages
Step-by-step explanation:
7 and 8 are one page
100 and 101 are one page
222 and 223 are one page
He tore out 3 pages
Which of these is not a Pythagorean Triple?
Select one:
a. 5,12,13
b. 3,4,5
c. 1,2,3
d. 7,24,25
Answer:
C because the rest are pythagoreaum theroems 1 squared plus 2 squared does not equal 3 squared.
Step-by-step explanation:
Find the exact volume of the cylinder.
A) 14π m3
B) 28π m3
C) 56π m3
D) 112π m3
(the height is 7 and the radius is 2)
Answer:
Option B) [tex]28\pi\text{ m}^3[/tex]
Step-by-step explanation:
We are given the following in the question:
Radius of cylinder, r = 2 m
Height of cylinder, h = 7 m
We have to find the volume of the cylinder.
Volume of cylinder =
[tex]V = \pi r^2 h[/tex]
where r is the radius and h is the height of the cylinder.
Putting values, we get,
[tex]V = \pi (2)^2(7)\\V = 28\pi\text{ cubic meter}[/tex]
Thus, the volume of cylinder is
Option B) [tex]28\pi\text{ m}^3[/tex]
Hi, love!!
The correct answer is listed below:
A) 14π m3
B) 28π m3
C) 56π m3
D) 112π m3
Find the vertex and the axis of symmetry of the graph f(x) = 3(x + 1)2.
Answer:
Step-by-step explanation:
hello :
the vertex is (-1 ;0)
the axis of symmetry is : x= -1
Mathematics VI
Which property is represented by the following equation?
5 x 13 x 2 = 5x 2 x 13
Answer:
commutative
Step-by-step explanation:
-The ability to change the order to terms in a addition or multiplication problem.
i need this answered asap !
Answer:
Week 16
Step-by-step explanation:
Week 1: 3.5 miles => 22.5 miles left
22.5/1.5 increments = 15 weeks
15 weeks + week 1 = 16th week
Answer:
week 16
Step-by-step explanation:
If a florist uses her credit card to pay for a new window display that costs $1,242 and does not pay it on until the Second month, what will the 1.25% monthly interest charge be at the end of the first month?
A.$12.83
B.15.53
C.16.00
D.$17.17
Answer:
$15.53
Step-by-step explanation:
Please refer to the attached image for explanations
2 Points
Multiply the polynomials.
(х- 7)(х2 + 3х – 3)
ОА. 3 – 4х2 – 24
21
О
В. x — 7х2 — 24х + 21
ооо
Ос. 3 – 72 - 3x+21
O
D. х3 – 4х2 – 3х+21
SUBM
Answer:
213
Step-by-step explanation:
the nth term of a number sequence is 2n+5
Answer:
Step-by-step explanation:
hello you idiot
Write a system of equations that matches the graph
shown.
Answer:
no te pases de bago
ednenjnjnjnnjnjnjnjnenjdnjendjen
Step-by-step explanation:
The system of equations that matches the graph is
x + y = 2
3x - y = 1
What is the system of equations
From the question, we are to write a system of equations for the two straight lines shown
To do this, we will pick two points on each line
Red line:
(0, 2) and (2, 0)
Using the formula,
y - y1 / x - x1 = y2 - y1 / x2 - x1
(y - 2) / (x - 0) = (0 - 2) / (2 - 0)
Simplifying
(y - 2) / x = -2 / 2
(y - 2) / x = -1
y - 2 = -x
Thus,
x + y = 2
Blue line:
(1, 1) and (0, -2)
Using the formula,
y - y1 / x - x1 = y2 - y1 / x2 - x1
(y - 1) / (x - 1) = (-2 - 1) / (0 - 1)
Simplifying
(y - 2) / (x - 1) = -3/ -1
(y - 2) / (x - 1) = 3
y - 2 = 3(x - 1)
y - 2 = 3x - 3
Thus,
3x - y = -2 + 3
3x - y = 1
Hence,
The system of equations is
x + y = 2
3x - y = 1
Order the numbers from greatest to least.
2.34, 234, 94
Answer:
234, 94, 2.34
Step-by-step explanation:
In a classroom, there are 7 groups of desks, and each group has the same
number of desks. The math teacher distributes one calculator to each desk. If
out of 37 calculators all but 2 are distributed, how many desks are in each
group?
Help me!! Pleaseee
Answer:
5 groups
Step-by-step explanation:
because you subtract two from 37 calculators that gives you 35 divide it by 7 and you get 5
Answer:
It' s was 77
Step-by-step explanation:
compare the two groups of data. which statement is true?
Answer:
a) both have the same spread
Step-by-step explanation:
Mean of Brand A > Mean of Brand B
Median of A > Median of B
Spread of:
A: 22 - 18 = 4
B: 18 - 14 = 4
The spread of the data which is obtained by calculating the Interquartile range of each distribution since the distributions are skewed is 2 for brand A and brand B. Hence, the spread is the same.
The distribution of BRAND A chips :
18, 19, 19, 19, 19, 19, 19, 20,20,20,20,20,20,21,21,21,21,21,21,22
The Upper quartile, Q3 ;
Q3 = 0.75 × (n + 1)th term
Q3 = 0.75 × 21 = 15.75 th term = 21
The Lower quartile, Q1 ;
Q1 = 0.25 × (n + 1)th term
Q1 = 0.25 × 21 = 5.25 th term = 19
The IQR = Q3 - Q1 = (21 - 19) = 2
The distribution of BRAND B chips :
14,14,14,14,14,14,14,14,15,15,15,15,15,15,16,16,16,16,16,18
The Upper quartile, Q3 ;
Q3 = 0.75 × (n + 1)th term
Q3 = 0.75 × 21 = 15.75 th term = 16
The Lower quartile, Q1 ;
Q1 = 0.25 × (n + 1)th term
Q1 = 0.25 × 21 = 5.25 th term = 14
The IQR = Q3 - Q1 = (16 - 14) = 2
Therefore, the spread of distribution of BRAND A and B are the same.
Learn more :https://brainly.com/question/15191516
What is the effect on the graph of the function f(x) =^8x when f(x) is replaced with f(x − 2)?
Answer:
f(x - 2) = 8x - 16
Step-by-step explanation:
f(x) = 8x
f(x - 2) = 8(x - 2)
f(x - 2) = 8x - 16
In the equation z/6 = 36, what is the next step in the equation solving sequence
Answer:
The answer to your solution is z = 36
Step-by-step explanation:
36 divided by 6 = 6
An envelope is 3 inches wide, and it measures 7 inches along the diagonal. What is the envelope’s length? If necessary, round to the nearest tenth.
The length of the envelope is 6.3 inches
Step-by-step explanation:
Width of the envelope = 3 inches
Diagonal of the envelope = 7 inches
To find:
The length of the envelope.
Let the length of the envelope be 'l'
We can use pythogoras theorem to calculate the length.
l = √(49-9)
l = √(40)
l = 6.3 inches
The length of the envelope is 6.3 inches