The vertex of the graph of f(x) = 2x² + 8x - 3 is (-2, -11). It lies in the third quadrant.
Therefore the answer is (-2, -11).
Simplifying the given graph to the form f(x) = a(x - h)² + k
f(x) = 2x² + 8x - 3
f(x) = 2×(x² + 4x) - 3
f(x) = 2×(x² + 4x + 4) - 3 - 2×4
f(x) = 2×(x + 2)² - 11
So f(x) = 2x² + 8x - 3 is symmetrical about the line x = -2. At x = -2, y = -11.
Therefore, the vertex of the graph is (-2, -11).
--The question is incomplete, answering to the question --
"What is the vertex of the graph of f(x) = 2x² + 8x - 3?"
To know more on vertex
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What is the measure of n?
12
4
m
n
[?]
Answer:
48
Step-by-step explanation:
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Answer: Function A= (0,8)
Function B= (0,2)
{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)
I didn’t do the last one I’m sorry
Step-by-step explanation:
Given the quadratic sequence: 2;3; 10 ; 23 ;...
2.1.1 Write down the next term of the sequence.
2.1.2 Determine the n'h term of the sequence.
2.1.3
Calculate the 20th term of the sequence.
Given the arithmetic sequence: 35; 28; 21 ;...
Calculate which term of the sequence will have a value of -140.
Step-by-step explanation:
2.1.1 ) next term is 42
2.1.2)3n^2 - 8n + 7
2.1.3)1047
the 26th term is = -140
Use point slope form to write the equation of a line slope intercept form that passes through the points 0,-5 and -3,4
Answer:
y + 5 = -3(x - 0)
Step-by-step explanation:
First, you find the slope. To do that, you subtract the second y point (in this case 4) by the first y point (in this case -5), and you get 9. Then, you subtract the second x point (in this case -3) by the first x point (in this case 0), and you get -3. Y is over X, so you get 9/-3 or 9 over -3, which can simplify to -3.
Next, you use the point slope formula: y - y1 = m(x - x1). Add in the y1, m, and x1, then solve if it asks you to put it in slope intercept form. So, for this case, it would be y + 5 = -3(x - 0)
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I need answer please
Answer:
they are integers
Step-by-step explanation:
What is the measure of x and what is the reasoning you used
Answer:
x = 108 because of supplementary angles
Step-by-step explanation:
Solving for x:
Since x and 72 are supplemenatry angles, they'll equal to 180, so:
x + 72 = 180
x = 180 - 72
x = 108
Given the function f(x) = 3x - 3, explain how to find the average rate of change between x = 0 and x = 5.
Answer:
3Step-by-step explanation:
Find f(0):
f(0) = 3*0 - 3 = - 3Find f(5):
f(5) = 3*5 - 3 = 12Average rate of change:
(12 - (-3))/(5 - 0) = 15/5 = 3Let f(x) =3x+2 and g(x)=x-3 find f(x)-g(x)
if 3x-4y+7=0 and 2y-x^2=0 for x is greater or equal to 0 then x=
(a)1.27
(b)2.07
(c)2.77
(d)4.15
(e)5.53
Tarzan split up $21 equally among 30 winners. What decimal is equivalent to the fraction of a dollar that each winner received? Round to hundredths.
Answer:
21/30 = 7/10 = 0.7
Step-by-step explanation:
spliting up 21 dollars among 30 winners, is dividing 21 by 30. When you do this you can simplify it to 21/30 = 7/10. 7/10 is equal to 0.7.
Answer:
$0.7
Step-by-step explanation:
As you may know, instead of saying divide. You can say split. So $21 split between 30 people would be $0.7 or 70 cents.
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The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
A) Use the distance formula to find the length of each side, and then add the lengths.
Sally has 8 red marbles and 16 green
marbles. She also has red bags and
green bags. She wants to put marbles in
the bags that match their color. Each
bag will have the same number of
marbles. What is the largest number of
marbles she can put into each bag?
Answer: 8
Step-by-step explanation: It's just GCF. The greatest common factor (GCF) of 8 and 16 is 8 (8 and 16 are both divisible by 8 but not by anything greater) which brings us to our answer.
i need help with a question what is 4n=12?
Answer:
n=3
Step-by-step explanation:
To solve the equation divide both sides by 4.
4n=124n/4=12/4n=3I'm assuming that you want to find n...
compute the distance between (9,-5,4) and (-10,3,4)
Answer:
~20.6155
Step-by-step explanation:
To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.
The length of a vector V is:
[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]
The vector is:
(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)
So the length is:
[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]
find the solution of the system of linear equations below
y = 5x +1
–5x + y = 1
Answer:
Infinite number of solutions.
Step-by-step explanation:
Y=5x+1
-5x+Y=1
substitute value of y in first equation (5x+1) into 2nd equation
-5x+5x+1=1
0+1=1
1=1
since answer equals on both sides of the equatio, the answer is determined to be infinite.
help please also dont put links:(
Answer: $61.50
Step-by-step explanation:
To do this you need to first find 18% of 75 which is 13.5 or $13.50 and then subtract that from the original price being $75 and you get $61.50
HOPE THIS HELPS ^^
Answer:
The answer is 61 dollars and 50 cents. So 61.5.
1/2 plus 1/8 equals.
Answer:
5/8
Step-by-step explanation:
1/2=4/8
4/8+1/8=5/8
2. What is the measure of angle AOE and angle EOD?
X+138
x + 48
Answer:
AOE = 138, EOD = 48
Step-by-step explanation:
Since AD is the diameter of the circle and goes through the middle
angle AOE + angle EOD = 180
Solving the equation (x + 138) + ( x+ 48) = 180
We get x = 0.
Identify the percent of change as an increase or a decrease. Then find the percent of change. Round to the nearest tenth of a percent, if necessary: 120 pounds to 180 pounds
Answer:
50%
Step-by-step explanation:
We need to find the percent change from 120 pounds to 180 pounds. We can find it as follows :
[tex]\%=\dfrac{180-120}{120}\times 100\\\\=\dfrac{60}{120}\times 100\\\\=50\%[/tex]
So, the percent change is equal to 50%.
hi, find the real zeros. if there are none, just say none.
Answer:
None
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
cause there isnt any zero
True or false? Please help meee
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Help please
1.1592.5in
3.2521.91mm
PLZ HELP I NEED TO TURN THIS IN TODAY
Answer:
The top one
Step-by-step explanation:
Just count how many are in each catagory
Answer:
The First One
Step-by-step explanation:
Don't Ask How Long It Took
The area of a rectangle is 12x^2 - 8x - 15. The width is (2x - 3). What is the length of the
rectangle?
Answer:
6x+5 us the length of the rectangle
Step-by-step explanation:
If A = 12x² - 8x - 15 and w = 2x - 3, then..
l = (12x² - 8x - 15)/(2x - 3)
= (2x - 3)(6x + 5)/(2x - 3)
= 6x + 5 cm
Percent increase in the price
Answer:
?
Step-by-step explanation:
help me pleseeeeeeeeee
Answer:
2/4
Step-by-step explanation:
2/4 = 4/8
They both equal 1/2
find the value of x and y
Answer:
It's hard to make out which is x and y, if x is lower right and y is at the top, then:
x = 55°
y = 70°
Step-by-step explanation:
x = 55° because it is an isosceles triangle
y = 180° - 55° - 55° = 70°
Find mHT
A) 140°
C) 145°
B) 150°
D) 120°
Answer:
A
Step-by-step explanation:
The secant- secant angle is half the difference of the intercepted arcs, then
[tex]\frac{1}{2}[/tex] (20x - 7x - 11) = 40 ( multiply both sides by 2 to clear the fraction )
13x - 11 = 80 ( add 11 to both sides )
13x = 91 ( divide both sides by 13 )
x = 7
Then
arc HD = 20x = 20 × 7 = 140° → A
-18 = 9z - 9
z =___?
Answer:
z = - 1
Step-by-step explanation:
Given
- 18 = 9z - 9 ( add 9 to both sides )
- 9 = 9z ( divide both sides by 9 )
- 1 = z
A bag contains six white marbles and four black marbles a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw polo buy a black marble on the second?
Answer:
4/15
Step-by-step explanation:
Total event: 6+4=10
First draw: 6 white out of 10 marbles 6/10
2nd draw: 4 black out of 9 marbles 4/9
probability of drawing a white marble on the first draw polo buy a black marble on the second: 6/10 x 4/9 = 4/15