Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
[tex]x_{vertex}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Item 4
Write an equation in point-slope form of the line that passes through the point (2,−8) and has a slope of 4.
Answer:
y = 4x - 16
Step-by-step explanation:
Plug in the slope and point into y = mx + b, and solve for b:
y = mx + b
-8 = 4(2) + b
-8 = 8 + b
-16 = b
Then, plug in b and the slope into y = mx + b
y = 4x - 16 is the equation in point slope form
9514 1404 393
Answer:
y +8 = 4(x -2)
Step-by-step explanation:
Point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . line of slope m through point (h, k)
Filling in the given point and slope, you have ...
y -(-8) = 4(x -2)
y +8 = 4(x -2)
Solve the system.
x+2y=0
2x-y=4
The solution is ___
Explain your choice of method.
Answer:
x = 8/5 and y = -4/5
The method used was SUSTITUION METHOD
Step-by-step explanation:
x = -2y
2(-2y)-y = 4
-4y-y = 4
-5y = 4
y = -4/5
then
x= -2(-4/5)
x = 8/5
I WILL MARK BRAINIEST
PLEASE HELP ASAP
Answer:
2101
Step-by-step explanation:
Apply -12 to the x
-(-12)^3+3(-12)^2+5(-12)+1
Then Simplify
2101
I hope it's right
Find the product.
(4x2 + x - 5)(2x + 1)
help plss i will mark brainliest
Answer:
x = 8
Step-by-step explanation:
10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^
Answer:
x =25/2
10/8 = x/10
- Cross multiply
8x=100
- Divide both sides by 8
x=100/8
- Simplify
x=25/2
Hope This Helps!
Plz help I need to finish this now
Answer: it’s the second one
Step-by-step explanation:
24=−3(2a−14)−3a
what is A?
Answer:
a = 2
Step-by-step explanation:
Hope this helps and have a nice day :)
Answer:
a=3
Step-by-step explanation:
24=3(2a-14)-3a
distribute
24=6a-42-3a
subtract 3a from 6a
24=3a-42
add 42 to both sides
66=3a
divide 3
3=a
a=3
hope this helps :)
Can someone explain to me what she was trying to say?-
Answer:
You had to solve the equation to it's fullest (so work out the problem on paper) Apperently that is her version of explaining something and I lost 100 braincells reading that! XD
Step-by-step explanation:
Hope this helps! :)
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-5, -8): y = - 3x + 2
Given:
The equation of line is
[tex]y=-3x+2[/tex]
To find:
The equation of line parallel to given line and passes through (-5,-8).
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=-3x+2[/tex] with the slope intercept form, we get
[tex]m=-3[/tex]
Slope of given line is -3.
Slope of two parallel lines are same. So, the slope of parallel line is -3.
Equation of line passes thorough the point (-5,-8) with slope -3 is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the line.
[tex]y-(-8)=-3(x-(-5))[/tex]
[tex]y+8=-3(x+5)[/tex]
[tex]y+8=-3x-15[/tex]
Subtract 8 from both sides.
[tex]y=-3x-15-8[/tex]
[tex]y=-3x-23[/tex]
Therefore, the equation of required line is [tex]y=-3x-23[/tex].
What is the common differenec in 7, 6, 5, 4,...
Answer:
d = - 1
Step-by-step explanation:
The common difference d between consecutive terms is
6 - 7 = 5 - 6 = 4 - 5 = - 1
Answer:
Step-by-step explanation:
HELP ME PLS DUE AT 2:30
Answer: okay i will help you :)
Step-by-step explanation I think while riding is the best company because $400 you can get a lot of pencils and it's not $144 for a hundred pencils and I think that's the best answer because you get more pencils but the other one give you more pencils but it's more so I think it's this one because you can a 100 pencil fo 40.. dollars so i think it is the first answer hope this helps :)
What is the value of f -1 (12)
-1 us a answer for your questions or support
50 % of blank = 21 plz I need help with that question
Answer:
42
Step-by-step explanation:
50% of ? = 21 is saying that you need to do 21 x 2, which is 42.Answer:42
21 x2 = 42. Therefore 1/2 or 50% of 42 is 21
Step-by-step explanation:
What is the rental rate, in dollars per person, if 6 people plan to rent the houseboat?
1
Number of People (X)
Rental Rate (P dollars per person)
2
3
240
120
80
Answer: 120 i think
Step-by-step explanation:
Brielle's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80/ If Brielle has 66 nickels, write and solve a linear equation to find the number of dimes she has. I know the answer is 45 dimes, but how do I write this in standard form?
Answer:
$4.50
Step-by-step explanation:
40x10=400
400 pennies=4 dollars
5x10=50
50 pennies=1/2 dollar
What is the slope of the line?
pls help I need the answer
Answer:
the slope of a horizontal line is 0
In softball, Marissa hits the ball 40% of the time when she is up to bat. Based on this information, how many times will Marissa hit the ball if she goes to bat 30 times?
Answer:
Marissa hit the ball 12 times if she goes to bat 30 times.
Step-by-step explanation:
Given that:
Marissa hits the ball 40% of the time when she is up to bat.
Marissa gets to bat for 30 times.
Balls hit by Marissa = 40% of the times Marissa goes to bat
Balls hit by Marissa = [tex]\frac{40}{100}*30[/tex]
Balls hit by Marissa = 0.4 * 30
Balls hit by Marissa = 12
Hence,
Marissa hit the ball 12 times if she goes to bat 30 times.
7. Simplify the expression.
3[(15 – 3)2 + 4
Answer:
84
Step-by-step explanation:
Answer:
If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.
Step-by-step explanation:
3 [ ( 15-3 ) 2 ] + 4
= 3 [ ( 12 ) 2 ] + 4
= 3 [ 24 ] + 4
= 69 + 4
= 73
Which word below means ¨to make as small as possible
Answer:
Minimize
Step-by-step explanation:
Hope this helps!
Find the value of y:
8y(4y+24)
Answer:
32y² + 192y
Step-by-step explanation:
First, we need to distribute 8y. This gets us 32y²+192y. I do not believe you can simplify that. I hope this helps!
Lupe spent $6.48 on a notebook and a pack of pencils, including tax. If the notebook cost $2.00 and the pencils cost $3.99, how much was the tax?
If FGH=QRS, find the measure of
11
9
34
28
Answer:
9 degrees
Step-by-step explanation:
Set 2x+10 and 3x+1 equal to each other and solve
simplify polynomial expressions with multiplication:
(8p-7)(5p^2+7p-3)
Answer:
-2p3 • (62p2 + 72p - 143)
Step-by-step explanation:
4/5 + 3/5 add following numbers and simplify
Answer:
1 2/5 is your answer in decimal form it is 1.4
4+3/5
7/5~Simplify this fraction~
1 2/5~Is your answer after you simplify~
Answer:
7/5, or 1 2/5 if you're looking for a mixed fraction.
Step-by-step explanation:
Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5
is 1/4x -7+9/4x +2x equivalent to 4x-7
Answer:
no
Step-by-step explanation:
Answer:
I believe not
Step-by-step explanation:
Y’all I need help!!! {picture}
Answer:
first and second choice
What is the length of segment JK
A. 6
B. 8
C. 9
D. 10
-9(x + 6) = -207 and
5x-3(x-3)= -6+6x-5
Answer:
x=17,x=5
Step-by-step explanation:
uber charges a $5 pickup fee and $0.25 per mile. define variables and write an equation to model this situation.
KC yellow Cab Co. charges $1.75 for pickup and $0.75 per mile. define variables and write an equation to model this situation.
using both functions, determine which company is a better value for a 5 mile ride. show your work.
what are some real world limitations to the domain and range of both functions?
Answer:
See below
Step-by-step explanation:
Uber$5 pickup fee$0.25 per mileEquation
y = 0.25x + 5Cost of 5 miles:
y = 0.25(5) + 5 = $6.25KC yellow Cab Co.$1.75 pickup fee$0.75 per mileEquation
y = 0.75x + 1.75Cost of 5 miles:
y = 0.75(5) + 1.75 = $5.5Comparing the cost we see KC yellow Cab Co. is better value for a 5 mile ride.
Pls help I will give brainlist!
Match each inequality with the number line that represents it.
Answer:
-3 [tex]\leq[/tex] x matches with 6,
3 < x matches with 5,
x [tex]\geq[/tex] 3 could not simplify any further
x < 3 could not simplify any further
x [tex]\leq[/tex] -3 could not simplify any further
-3 > x matches with 3
Step-by-step explanation:
i used a inequality calculator