Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
-30 < x/-4 must be simplified
Answer:
120 > x
Step-by-step explanation:
multiply -4 on both sides, -30 * -4 = 120
since you multiplied by a negative you change the sign
<3
Answer:
X<120
Step-by-step explanation:
If two angles are both obtuse, the two angles are equal. What is the converse??
Answer:
If the angles are equal, then two angles are both obtuse
Step-by-step explanation:
converse flips the conclusion and hypothesis
i need help what ones represents numerical data
Select all that apply
A. 1,1.2,1.4,1.5,1.6,1.8,1.9,2,2,2.1,2.5
B. Red,Red,Yellow,Yellow,Blue,Blue,Blue
C.45,60,60,70,75,80,85,90,90,100,100,100
D. -7,-5,-3,-1,-1,-1,0
E. 98.2,98.4,98.4,98.6,98.6,98.6,98.6,98.7,98.8,98.8
F.Yes,Yes,Yes,Yes,Maybe,Maybe,No,No,No
G.A,A,A,B,B,B,C,C,C
Answer:
A and C?
Step-by-step explanation:
they have numbers innit e.g. 1.2 is a nmuber and so is 45 sooo yea
Answer:
a, c, d, e
Step-by-step explanation:
all numbers rest are words
Avery is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. Let C represent the total cost of renting the truck when the truck is driven m miles. The table below has select values showing the linear relationship between m and C. Determine the cost per mile that Avery drives.
M: 2, 4.5 ,7
C: 46, 53.5 , 61
Answer thought it was m=3 but nvm
Step-by-step explanation:
0/1 Patrick has $375 in his account. This is $90 more than his brother Ralph has in his account. Write an equation using x to find the amount of money in Ralph's account.
Answer:
x + 90 = 375
x represents the amount of money in Ralph's account.
in 1975 a four function calculator cost $125. In 1995 a 4 function calculator cost $5. Find the
rate of change in cost of a calculator in dollars per year.
HELP ASAP
Answer:
it's -6 dollars per year.
Step-by-step explanation:
the expression would be (5-125)/(1995-1975) which would give you the average rate of change.
Several Friends meet at an ice cream parlor.They order 5 ice cream cones and 3 sundaes and pay a total of $27.30.The ice cream cones cost a total of $14.25.What is the cost of one sundae?
Answer:
$4.35
Step-by-step explanation:
Answer:
the sundaes would have been $4.35 a peice! This is simple math i used a calculator! Dont waste your points! :)
Step-by-step explanation:
$27.30
- $14.25
________
13.05 Divided by 3 is = $4.35!
The sum of a number and its reciprocal is 3. Find the number
Suppose that an individual has a body fat percentage of 12.4% and weighs 158 pounds. How many pounds of his weight is made up of fat?
quadratic formula:
3x^2+2x-4=0
Answer: i hope this helps!
(PLEASE SOLVE ASAP)The container that holds the water for the football team is 2/3 full. After pouring out 4 gallons of water, is is 4/9 full. How many gallons can the container hold?
2/3 is 6/9 so 2/9 was poured out...
if 4 gallons is 2/9ths it would be
4*2+2
8+2
10gallons
Mr.Hollis determines that he gives away $800 each month if he gives away 16% of his budget, how much is his overall budget
I’ll give 15 points to who ever answers my question
Ah trust me you wont get them correct. I've done this last year when I was a sophomore and honestly if I were you just random guess it. Like real talk
simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x
Answer:
−8^4+2^3−4^2+6
Step-by-step explanation:
Distribute the - to 8x^4-5x^3+6x^2-2x:
-8x^4+5x^3-6x^2+2x
Now simplify:
-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6
Hope this helps!
ASAP what is the x and y intercept for −4x+7y=3
Answer:
x - (-3/4,0)
y - (0, 3/7)
Step-by-step explanation:
Consider the figure shown below. Find the value of BL
Answer:
BL = 2
Step-by-step explanation:
Given:
AL = 3
AC = 10
BC = 9
AL = AM = 3 (tangents drawn form am external point)
CM = AC - AM
CM = 10 - 3
CM = 7
CM = CN = 7 (tangents drawn form am external point)
BN = BC - CN
BN = 9 - 7
BN = 2
BN = BL = 2 (tangents drawn form am external point).
BL = 2
This equation has one solution.
3(x-2) + 4x = 10(x + 1)
What is the solution?
O-5
O-2
-16
3
-16
7
Intro
Based on the scatterplot, what is the best prediction of the foot length for a person who has a head diameter of 54 centimeters?
Answer:
its kinda hard to see, sorry, im guessing its 30
A study was created to test the effects of jazz on people’s sleep patterns. The hypothesis of the experiment, 2 groups of people were created.Group I was placed in a quiet room where they went to sleep and they were timed on how long they slept. The group 2 was placed in a room where jazz music played softly as they began to sleep and played throughout the night. As each group awoke,their sleep times were monitored. What is the independent Variable ? And what is the Dependent Variable?
Answer:
independent variable- Presence or absence of soft jazz music
Dependent variable - sleep time
Step-by-step explanation:
The independent variable refers to that variable that is manipulated in an experiment. The independent variable is being studied and its effect on the dependent variable is documented. Presence or absence of soft jazz music is the independent variable.
The dependent variable is the response variable. It is that factor that changes when the independent variable is manipulated. In this case, the sleep time of the participants in the study is the dependent variable.
A turtle is 20 5/6 inches below the surface of the pond. It dives to a depth of 32 1/4. What is the change of the turtles posistion. HELP ASAP PLEAS AND THEANK YOU!
Answer:
I believe it's 11
Step-by-step explanation:
Sorry if I'm wrong
(6+2i)÷3i solve this problem
Factor 7 out of 7d - 56
A)7(d - 8)
B)7(d + 8)
C)7(d + 56)
D)7(d - 56)
Answer:
A
Step-by-step explanation:
7d/7=d
-56/7=-8
7(d-8)
Find the slope of the line segment shown.
-1/2
-1
1/2
1
Answer:
slope = 1
Step-by-step explanation:
slope = (y2 - y1)/( x2-x1)
slope = -2-3/-3-2
slope = -5/-5
slope = 1
All of the following expressions have the same value, except . . .
-3/7+ -4/7
-(3/7+4/7)
-3/7- (-4/7)
-3/7- 4/7
Answer: -3/7- 4/7
Step-by-step explanation:
HELP ASAP The number of hours you study for an exam affects your grade. What is a reasonable value of the range?
A) 75
B) 1.25
C) -30
D) 1/2
6k ÷ 7 = -3
Solve for k
Answer:
k = -3.5
Step-by-step explanation:
6k ÷ 7 = -3
Multiply 7 to both sides
6k = -21
Divide both sides by 6
6k/6 = -21/6
k = -3.5
To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.
6(-3.5) ÷ 7 = -3
-21 ÷ 7 = -3
-3 = -3
-3 equals -3 so it is correct that k = -3.5
A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?
Answer:
Average speed is 15km/hStep-by-step explanation:
Step one:
given data:
total distance =7.5km
time taken= 30 min= 0.5 hours
we know that the average speed is the average distance divided by time taken
Step two:
mathematically expressed as
speed=distance/time
substituting we have
speed=7.5/0.5
speed=15km/hour
Hence the average speed is 15km/h
Which is a linear graph, and which is a nonlinear graph?
How do you know?
Orange is linear; blue is nonlinear
Blue is linear; orange is nonlinear
Both are linear
Both are nonlinear
Answer:
Blue is linear
Step-by-step explanation:
For lines to be linear on a graph, they have to follow these 2 rules:
-be a straight line
-be written in the form of y=mx+b
Therefore, blue is linear and orange is nonlinear
Renee used the values in the table to calculate simple interest.
Principal $750
Interest rate ?
Time 11 years
Interest $412.50
Which interest rate is missing from Renee’s table?
0.05%
0.5%
5%
50%
Answer:
5% hope its correct
Step-by-step explanation:
The rate of Interest is 55.
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
Principal= $750
Time = 11 years
Interest= $412.50
Using Simple Interest
SI= (PRT)/100
412.5 = (750 x R x 11) 100
41250 = 8250R
R= 5%
Hence, the rate of Interest is 55.
Learn more about Simple Interest here:
https://brainly.com/question/22621039
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can i have help i give you brainlest
Answer:
x = 12 or 12:204
Step-by-step explanation:
You have to set it up like this....
Just cross multiply.
[tex]\frac{3}{51}*\frac{x}{204}[/tex]
You'll multiply
3*204 = 612
51*x = 51x
612 = 51x (divide by 51 on both sides)
12 = x
12:204
Hope this helps!!!