Answer:
Step-by-step explanation:
Given the algebraic equation of a line, we are able to graph it in a number of ways. In this section, we will be given a geometric description of a line and be asked to find the algebraic equation. Finding the equation of a line can be accomplished in a number of ways, the first of which makes use of slope-intercept form,
y
=
m
x
+
b
. If we know the slope, m, and the y-intercept, (0, b), we can construct the equation.
Example 1: Find the equation of a line with slope
m
=
−
5
8
and y-intercept (0, 1).
Solution: The given y-intercept implies that
b
=
1
. Substitute the slope m and the y-value of the y-intercept b into the equation
y
=
m
x
+
b
.
Answer:
y
=
−
5
8
x
+
1
Factor completely. (x^2 – 4)(x^2 + 6x + 9)
This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.
===============================================
Explanation:
x^2-4 factors to (x-2)(x+2) after using the difference of squares rule
x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule
So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)
We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2
-------------------
Side notes:
Difference of squares rule is a^2 - b^2 = (a-b)(a+b)The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2Michael has five different stocks that he watches on a daily basis the table shows the change in each stock price in dollars at the end of a trading day
Answer:
a
Step-by-step explanation:
An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?
Answer:
80 miles.
Step-by-step explanation:
If it is traveling at 320 miles per hour, and its asking how much its traveled in 15 minutes you do this:
Since 15 minutes is 1/4 of an hour, you take 1/4 of how fast they are traveling at mph, which in this case is 320 mph.
320/4=80
The airplane will travel 80 miles in 15 minutes.
What is Distance?The length along a line or line segment between two points on the line or line segment.
we need to use the formula of distance.
distance = speed × time
Since the speed of the airplane is 320 miles per hour, we need to convert 15 minutes to hours:
15 minutes = 15/60 = 0.25 hours
Now we can substitute the values into the formula:
distance = speed × time
distance = 320 × 0.25
distance = 80
Therefore, the airplane will travel 80 miles in 15 minutes.
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ2
Write a linear function f with f(5)=7 and F(-2)=0.
Answer:
f(x)=x+2
Step-by-step explanation:
Slope= (7-0)/(5-(-2)) = 7/7 = 1
Y-intercept= 2
substitute the slope, 1, for m and the y-intercept, 2, for b to get:
f(x)=x+2
hope this helps!
The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2
f(5) = 7
This means when x = 5 , y = 7
(5, 7)
f(-2) = 0
(-2, 0)
This implies when x = -2 , y = 0
Using the linear function formula,
y = mx + b
where
m = slope
b = y-intercept
Therefore, the function can be represented as follows:
m = 0 - 7 / -2 - 5 = -7 / -7 = 1
Therefore,
y = x + b
0 = -2 + b
b = 2
The function in relation to x can be represented as follows:
f(x) = x + 2
read more: https://brainly.com/question/13578480?referrer=searchResults
1)
Bill and John competed in the “Shot Put" event in their school's track
meet. Bill threw the shot 21 feet and 6 inches, while John threw the
shot 17 feet and 4 inches. How much greater was Bill's throw than
John's?
Answer:
4 feet and 2 inches
Step-by-step explanation:
First, find the difference between the number of feet in their throws:
21 - 17
= 4 feet
Since Bill's throw had 6 inches while John had 4 inches, subtract 2 inches from the 4 feet that we calculated earlier.
This gets us 4 feet and 2 inches, since there are 12 inches in a foot.
So, Bill's throw was 4 feet and 2 inches greater than John's.
Town A has 14,700 residents and covers 42 square miles. Town B has 58,000 residents and covers 116 square miles. Which comparison is accurate?
Town A has 150 more residents per square mile than town B.
Town B has 150 more residents per square mile than town A.
Town A has 585 more residents per square mile than town B.
Town B has 585 more residents per square mile than town A.
Answer: b town b has 150 more residents per square mile than town A
Step-by-step explanation:
Answer:
Town B has 150 more residents per square mile than town A.
Step-by-step explanation:
I got it right on edge 2021 :) I hope its right and that you have an amazing day you amazing person :DD
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
A man spend 2500 per month for four months and runs into debts. He then reduces his expenses 1750 per month and just clears of his debts after eight months Find his income per month?
Answer:
Step-by-step explanation:
Let the income per month be S
Total income in 8 months = 8 S .
Total expenses in four months = 2500 x 4 = 10000
Total expenses in next four months = 1750 x 4 = 7000
Total expenses = 17000
According to question
Total income in 8 months = Total expenses
8 S = 17000
S = 2125 per month .
What is the image point of (1,0) after a translation right 1 unit and up 4 units?
Answer:
(2,4)
Step-by-step explanation:
hope this helps :)
Answer:
(1,0) + 4 up and + 1 right
The answer is (2,4)
what is the value of (3/4)³
Answer:
27/64 or 0.421875
Step-by-step explanation:
= 3^3 / 4^3
= 27 / 64
I hope this helps
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
We cube the 3 (3^3),which makes 27 and cube the 4(4^3), which makes 64
If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent
Answer:
[tex]\large\boxed{\textsf{True.}}[/tex]
Step-by-step explanation:
[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]
[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]
[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]
[tex]\textsf{the same, straight lines.}[/tex]
[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]
[tex]\textsf{angles are congruent to each other.}[/tex]
[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]
3. Which relation is a function?
−5x−4y=−8 whats the formula
Answer:
standard form
Step-by-step explanation:
standard form
would this be correct?
Answer:
Yes it is absolutely right.
The sales tax in Texas is 8.25% and an item costs $400. How much is
the tax?
Answer:
Step-by-step explanation:
400*8.25%= $33 tax
CLICK ON PHOTO FOR QUESTION. ALOT OF POINTS GIVEN :)
Answer:
I'll answer ur next Question for sure =D
Step-by-step explanation:
ive been reposting this question forever i really need help if u answer correctly i will mark brainliest look at the image i uploaded that is the question and it shows what answers i need
Answer:
I believe it would be 64:80 you can report me if I'm wrong just trying to help
(–6)² – (–7)²
I need a step by step process.
Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.
HELP PLS EJDHWJDHJ
Answers:
c=0.25p
p=4c
c=.25p
c=1/4p
Hope I' not too late -w-'
What fraction of 34 it will take to make 23?
Answer:
34 = 2 × 17
Step-by-step explanation:
To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF
What is 5(x+8)=7x+38
Simplify your answer as much as possible
Answer:
5*(x+8)-(7*x+38)=0
5 • (x + 8) - (7x + 38) = 0
2 - 2x = -2 • (x - 1)
-2 • (x - 1) = 0
-2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
x-1 = 0
x = 1
Find the slope between (-1, 3) and (5,-2)
What is the y-value of point A?
Answer: 1
The full term is (6,1)
Answer:
1
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
k/0.5 =4:11 dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
answer
can u make the question clearly s
Answer:
2/11
Step-by-step explanation:
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answer: 0.43
Step-by-step explanation: divide
greatest common factor.
32+44
Answer:
I'm pretty sure its 76
hope this helps
does anyone know this? I dont get it
Answer:
1st one
Step-by-step explanation:
A new brand of refrigerators and air conditioners saves 15% on power use. Your present monthly power bill averages $200. What would be your monthly savings by using this new brand?
Answer:
$170
Step-by-step explanation:
15 percent of 200 is 30 and 30 minus 200 would be 170
the slope of the line represented by 3x-5y=-15
Answer:
i think its 3/5
sorry if im wrong:(
Step-by-step explanation:
Answer:
Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).
Step-by-step explanation:
Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).
If y varies directly with x and y= 12 when x= 16, what is the value of x when y= 5?
Answer:
[tex]x = 6 \frac{2}{3} [/tex]
Step-by-step explanation:
Since y varies directly with x,
y= kx, where k is a constant.
① Find the value of the constant k.
When y=12, x= 16,
12= k(16)
16k= 12
[tex]k = \frac{12}{16} \\ k = \frac{3}{4} [/tex]
②Substitute the value of k back into the equation:
[tex]y = \frac{3}{4} x[/tex]
③ Find value of x when y=5.
When y=5,
[tex]5 = \frac{3}{4} x \\ x = 5 \div \frac{3}{4} \\ x = 5 \times \frac{4}{3} \\ x = \frac{20}{3} \\ x = 6 \frac{2}{3}[/tex]
