Which of the following functions best describes this graph?
O A. y = (x+5)(x-4)
O B. y - (x - 3)(x-6)
O c. y = x2 +9x+18
O D. y = x2 - 2x + 4
Answers
Answer:
c. y=x2+9x+18
Step-by-step explanation:
If we factor y=x2+9x+18 using the x method, the factors 3 and 6 mutliply to 18 as well as add to 9. that means y=x2+9x+18=(x+3)(x+6). From the graph, we can see that when y=0, it is at the x's -3 and -6. If we set (x+3)and(x+6) equal to zero (for ex. x+3=0), our x's are -3 and -6 which are the same zeros as the graph
The quadratic function that best describe the graph is y = x² + 9x + 18.
Solution of the graphThe solution of the given graph is determined from the intersection of the curve on the horizontal axis.
The two points of intersection of the curve are -6 and - 3.
Quadratic functionThe quadratic function is determined from the solutions of the curve.
x = -6 or x = -3
x + 6 = 0 or x + 3 = 0
(x + 6)(x + 3) = 0
expand the bracket as follows;
x² + 3x + 6x + 18 = 0
x² + 9x + 18 = 0
y = x² + 9x + 18
Thus, the quadratic function that best describe the graph is y = x² + 9x + 18.
Learn more about quadratic function here: https://brainly.com/question/1214333
Related Questions
4(x-3) = 1/2(x/2+5) one nine or infinity
Answers
9514 1404 393
Answer:
one
Step-by-step explanation:
The coefficients of x are ...
4 . . on the left
(1/2)(1/2) = 1/4 . . on the right
These values are different, so there is exactly one solution to this equation.
__
The solution is x = 3 13/15.
Evaluate the expression when x = -3
-5x -15
Show your work
Answers
-5x - 15
-5(-3) - 15
15 - 15
0
Hope this helps! :)
un vaso contiene leche hasta los 3/5 de su capacidad. si echa un 1/7 mas, es seguro que la leche
A.se derramara porque supera el 100% de la capacidad del vaso
B.no se derramara porque no supera el 50% de la capacidad del vaso
C.se derramara porque la cantidad total es equivalente a la capacidad de dos vasos
D.no se derramara porque la cantidad total esta entre el 70% y el 80% de la capacidad del vaso
Answers
Answer:
De las opciones presentadas, la correcta es la D.
Step-by-step explanation:
Suma de fracciones
Dado que un vaso contiene 3/5 de su capacidad con leche, aún tiene libre una fracción que puede ser llenada.
Si se echa 1/7 más de leche, vamos a encontrar si la suma de las dos cantidades supera al 100% o también al número 1 que es la representación del vaso completo.
Sumemos:
[tex]\displaystyle \frac{3}{5}+\frac{1}{7}=\frac{3*7+1*5}{35}=\frac{21+5}{35}=\frac{26}{35}[/tex]
Como el numerador es menor que el denominador, la fracción es menor que 1 y aún cabe más leche en el vaso. Calculando el valor aproximado:
[tex]\displaystyle \frac{26}{35}\approx 0.74[/tex]
Lo cual representa un 74% aproximadamente.
De las opciones presentadas, la correcta es la D.
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the time it took her to travel different distances at this speed. How many miles can she travel in a minute?
Answers
Answer:
4 and 1/4, 1/4 miles or quarter mile in a minute
Step-by-step explanation:
2 x 4 =8
1 × 4 =4
1/4 x 4 =1
Please help me I dont know which number goes first like 0,-5 or is it -5,0
Answers
Answer:
-5,0
Step-by-step explanation:
Answer:
-5,0
Step-by-step explanation:
What is the range of function m?
Answers
Answer: The Answer is B
What is the slope of the line which contains the ordered pairs (2, 1) and (-3, 5)?
a. -5/4
b. -4
c. -1/4
d. -4/5
Answers
Answer:
d. -4/5
Step-by-step explanation:
When using the equation m = y2 - y1 / x2 - x1, we get m = 5-1 / -3-2.
Simplified: m = 4/-5.
The negative can be placed on the numerator or denominator, it doesn't make a difference.
Solve x ^ 2 + 10x = -21.
x = 7 and x = 3
x = -7 and x = -3
x = - 7 and x = 3
x = 7 and x = -3
Answers
Answer:
X = -7, -3
(AKA B)
Answer:
x= -7 and x= -3
Step-by-step explanation:
x^2 + 10x = -21
= X^2 + 10x + 21 (Bring the -21 to the other side to make it positive)
factor the equation...
= (x+7)(x+3)
x= -7 and x= -3
if you need help on how to factor I can help
Determine which problem matches the given inequality.
c<5 1/2
1
O There are 5 fewer cups of
2.
sugar than flour.
5.1
5 1 /
O There are 5
more cups of sugar than flour.
O There are less than 5
2
cups of sugar
O There are more than 5
5.
1
2.
cups of
sugar
Answers
Answer:
There are less than 5 1/2 cups of sugar.
Step-by-step explanation:
E D G E N U I T Y
Have a good day! (◕ヮ◕ヽ)
Answer:
c
Step-by-step explanation:
if 5 pizzas cost $60, how much will 9 pizzas cost
Answers
Answer:
$108
Step-by-step explanation:
so someone ordered 5 pizzas =$60 then relized they need 9 more so they need to know how much is 9 pizzas going to cost. they did 5/60 then get 12 then they did 9 times 12 =$108
Answer:its 108 because when you divide 6/5 = 12 so 9 x 12 = 108
Step-by-step explanation:
It rained all day on Father's Day and the temperature dropped ten and seven tenth degrees. The next day the rain stopped and the temperature rose twelve and six tenths degrees. If the temperature at the beginning of Father's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Father's Day?
Answers
method: take twelve and six tenths away from sixty five and eight tenths to get fifty five and a tenth then add twelve and six tenths to fifty five and a tenth
I want to find the coordinates of each point of the face
Answers
Answer:
A) (2,5)
B) (4,4)
C) (3,2)
D) (3,-1)
E) (1,-3)
F) (-1,-3)
G) (-3,-1)
H) (-3,2)
I) (-4,4)
J) (-2,5)
K) (-1,4)
L (1,4)
Which of the following is a Pythagorean triple?
A. (5, 12, 15)
B. (8, 9, 10)
C (8, 15, 17)
D. (3, 3, 6)
Answers
Explanation: 8^2 + 15^2 = 17^2
64+225=289
Simplify the expression: 4(x+3)+3(5−x)
x + 27
x +8
2x + 15
19x + 11
Answers
Answer:
A. x + 27
Step-by-step explanation:
4(x+3)+3(5−x)
4x + 12 + 15 - 3x
x + 27
First multiply each of the brackets by the number on the outside:
4(x + 3) = 4x + 12
3(5 - x) = 15 - 3x
Then add these into the expression:
4x + 12 + 15 - 3x
Collect the like terms (the things that have the same letters):
4x - 3x = 1x (but remember we don’t write the 1, so it’d just be x)
12 + 15 = 27
Therefore:
x + 27
Your answer would be:
A) x + 27
What is the slope of a line perpendicular to the line whose equation is 12x-9y=135
Answers
Answer:
[tex]\frac{-9}{12}[/tex]
Step-by-step explanation:
First, we need to isolate y.
1. Subtract 12x from both sides.
-9y=-12x+135
2. Divide by -9 in order to isolate y.
[tex]y=\frac{12}{9} x-15[/tex]
3. Understand that perpendicular equations' slopes are opposite and reciprocal to the original equation. The slope of the original equation is [tex]\frac{12}{9}[/tex], so the reciprocal and opposite (flip and change the sign) slope would be [tex]\frac{-9}{12}[/tex].
a teacher earns 25000 a year and receives a 4% cost of living increase in salary and a $275 merit increase. His salary increased by
a. 4.5%
b. 4.9%
c. 5.0%
d. 5.1%
e. 5.2%
solve how you got it
Answers
Answer:
The asnwer is a. 4.5%
Step-by-step explanation:
.05 * 25000 + $275 = 4.5
Please help me and I’ll give you brainiest!!!!!!!!!
Have a wonderful day!!:))))))!!!!!!
Answers
There is 3 correct ones. Please helpppppp
Answers
Answer:
i dont know
Step-by-step explanation:
But i think it is 10/1 20/2 and 60/6
I dont do slopes in Math but by the power of observation I beileve I have figured it out
Answer:
1/10 2/20
Step-by-step explanation:
Those are the answers hope this helped.
I need answer to this question.
Explain why triangle ABC is congruent to triangle FED.
Answers
Answer:
The two angles of ΔABC are equal to the two respective angles of ΔFED. Also, the sum of all interior angles of a triangle is 180º. Therefore, third angle of both triangles will also be equal in measure.
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
-x + y = -2
2x - 3y = 4
A. (3, 1)
B. (4, 2)
C. (2, 0)
D. (5, 3)
Answers
Answer:
C. (2, 0)
Step-by-step explanation:
-x + y = -2
2x - 3y = 4
Multiply both sides of the first equation by 2.
Write the second equation below it and add them.
-2x + 2y = -4
(+) 2x - 3y = 4
----------------------------
-y = 0
y = 0
Start again with the original equations.
Multiply both sides of the first equation by 3. Write the second original equation below it and add them.
-3x + 3y = -6
(+) 2x - 3y = 4
-------------------------
-x = -2
x = 2
Answer: C. (2, 0)
|9x|=63 may someone help me out
Answers
The cost of Jacquie's gym membership is $20 per month. Jacquie gets a 10% discount of the monthly cost in any month in which she refers a friend who also becomes a member. How much does Jacquie save in a month when one of her friends joins the gym?
Answers
Answer: $2
We have to find 10% of 20 for this question.
10% of 20 is equal to $2.
So, the answer to the question is $2.
Jacquie spends $2 less every month when her friend joins.
is the square root of 49 a rational number
Answers
Answer:
Yes. The square root of 49 is 7, which is a rational number.
Answer:
Rational
Step-by-step explanation:
If snow falls at a rate of 5 inches every 3 hours, what is the unit rate?
Answers
Answer:
5:3
Step-by-step explanation:
X=
Y=
Z=
Pls help >^>
Answers
Step-by-step explanation:
X = 50+45 = 95 exterior angle
y =95 + 52 = 147 exterior angle
Z = 180 Straight angle
-7=-7+9x what is the answer?
Answers
Answer:
x=0
Explanation:
Add 7 to -7 ( 0 )
Bring down 9x
then divide
x= 0
8 divided by 2 4/9 plz help me now
Answers
Answer:
3.27272727273
Step-by-step explanation:
you simplify the fraction then you make 8 into 8/1 then you divide and if you want decimal its 3.27272727273
Which of the following expressions is equivalent to 50-30y?
Answers
Answer:
I need the other expressions :l
Step-by-step explanation:
:l
Which verbal expression is represented by 1/2 (n-3)
(A) One-half n decreased by 3
(B)One-half n subtracted from 3
(C)The difference of one-half n and 3
(D)One-half the difference of n and 3
Answers
Answer: (D)One-half the difference of n and 3
Step-by-step explanation:
The correct verbal expression for the function f(n) = 1/2 (n-3) is →
One-half the difference of n and 3.
What is a verbal expression in mathematics?
A mathematical expression when written using verbal statements is known as the verbal expression of that mathematical expression.
Given is the following mathematical expression -
f(n) = 1/2 (n-3)
The given expression is -
f(n) = 1/2 (n-3)
Now, Assume A = (n - 3) represents the the difference of n and 3.
1/2 (A) represents its one half.
Therefore, the correct verbal expression for the function f(n) = 1/2 (n-3) is → One-half the difference of n and 3.
To solve more questions on Verbal Expressions, visit the link below-
https://brainly.com/question/2510639
#SPJ2
Hiii!!!!!!!!!!!!!!!!!!
Answers
Answer:
Hi!
Step-by-step explanation:
How are you?
Answer:
i! lovely day isnt it?
Step-by-step explanation: