Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
Learn more about plotting graph of a function here
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The graph of a system of equations is shown.
What is the solution to the system of equations in the graph?
Please Help
Answer:
66
Step-by-step explanation:
because if you ad 60 and 6 it makes yes
PLEASE HELP! 80 POINTS AND BRAINLIEST TO FIRST ANSWER!
A rectangular pen is constructed with 300m of fencing against a barn wall. What dimensions give the maximum area?
Betty bought a new pair of jeans for $45 and three new sweaters for $141. How much was one sweater, if they all cost the same amount? Write and solve an equation to see how much one sweater cost.
Answer:
47
Step-by-step explanation:
You would divide 141 by 3 because there was three sweatshirts bought, so the answer from that would be the price of one.
141/3=47
sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is better and why . Due in three hours!!!
Answer:
option b
Step-by-step explanation:
could u help me please?
Answer: the answer is b but make sure
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is false. If -7,3 was an answer the equation would look like this
y+3=-2(x+7)
Have a nice day,
PumpkinSpice1
logbase2 ²/log base 2 ⁴
Answer:
Please use LaTeX I Assure you it is great
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]
What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?
Answer:
y-5=2(x+5)
Step-by-step explanation:
Compute the sum (Worth 15 Points!)
[tex]\[51 \cdot 23 + 49\cdot (-11)+49 \cdot 11 + 51 \cdot (-23).\][/tex]
Answer:
268.
Step-by-step explanation:
So we have 51*23+49+49*11*-11+51*-23
2(51+23+49+11) ( the 2 negatives cancel out)
So, 51+23+49+11 is 134.
2(134)
or 268.
Hope this answers your question!!!
Answer:
268 :)
Step-by-step explanation:
Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001.
Answer: The median is: 300
Hope this helped!
Show that x + y : x - y= 3 : 2
Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
someone travels 200 miles in 4 hours how many miles per second
Answer:
0.01
Step-by-step explanation:
Bonus (3 points)
Graph the parabola using the indicated information (you may NOT use decimals) You must show all work to
receive credit.
y = 2^2 + 17x +30
a. equation of the axis of symmetry
b. coordinates of the vertex
c. calculate the coordinates of the x-intercepts
Answer:
c
Step-by-step explanation:
Which angles are vertical angles?
I think NOQ POL.................................
Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =
Answer:
Step-by-step explanation:
(x - 3)(x + 2) (x + 4) =
x^3+3x^2-10x-24
Answer:
x^3+3x^2-10x-24
Step-by-step explanation:
(x - 3)(x + 2) (x + 4)
multiply the first two together first
(x^2+2x-3x-6)(x+4) add like terms first
(x^2-x-6)(x+4)
then multiply
x^3+4x^2-x^2-4x-6x-24
add like terms
x^3+3x^2-10x-24
3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3
Answer:
The correct answer is A or option 1
Kim ate 50% of candles in the bag if Kim ate 35 candies how many are left
Answer:
If Kim eats half of the bag, 50%, and 50% is 35 then the other 50%, the other half, is also 35. That means if Kim ate 50% of candies, 35, she has 35 candies left.
( 2 + 2i )^20=
(a) 2^20
(b) 2^30
(c) 2^20i
(d) -2^30
24
34
22i
-34
yup your welcome
Evaluate 1/6t+1/12 when t=1/2
Answer:
1/6
Step-by-step explanation:
You're welcome :)
(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118
Answer:
28.47
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
Given
[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression
= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]
= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]
= [tex]\frac{20}{\frac{17}{8} }[/tex]
= [tex]\frac{20}{2.125}[/tex]
≈ 9.4118 ( to 4 dec. places ) → F
HELP ASAP WILL GIVE BRAINLIEST
Answer:
right triangles only
Step-by-step explanation:
what does 28-8 represent?
Step-by-step explanation:
subtraction if that wut u askim
Please answer this question
Answer:
5 units right and 3 units up
Step-by-step explanation:
A shift 5 units to the right, and then a shift 3 units up.
k = +3
+k shifts function up; -k shifts function down,so 3 units up
h = -5
x+h shifts function left; x-h shifts function right, so 5 units right
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
D.) algebra rules
Step-by-step explanation:
Had it on the quiz
In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Answer:108 degrees
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
24+48= 72
180-72=108
All three angles are different meaning that the triangle must be a scalene triangle.
Find the point that is a solution for y=6x+8
Answer:
(-8/6, 0) is the answer
first is the absicca and the second is the ordinate
Which of the following is equivalent to logb sqrt 57/74
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?
Answer:
Step-by-step explanation:
21 feet below is written as -21
9 feet up is written as +9
So we have -21 + 9 = -12 or 12 feet below sea level
Question 25
2 pts
Seth's father is thinking of buying his son a summer movie pass for $30 dollars.
With the pass, matinees cost $3 each. Without the pass each movie is normally
$8. If Seth plans to go to 30 movies this summer how much money would he
save? ONLY PUT THE NUMBER, NO DOLLAR SIGN.
Answer:
120
Step-by-step explanation:
First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:
30+(3*30)=30+90=120
Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:
8*30=240
Third, you need to find the difference between both costs:
240-120=120
According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.
75 000 in standard form
Answer:
7.5×10^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helps <3
Answer: 7.5
Step-by-step explanation:
can someone please help me
Answer:
a. h(t) = 5t + 10
b. 70
c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
h(12) = 60 + 10
h(12) = 70
c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.