Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
If we decrease the time it takes for a car to travel over the same distance, this will (2 points) increase the speed have no effect on velocity or speed decrease the speed decrease the velocity
Answer:
Increase the speed
Step-by-step explanation:
The only way to decrease the time it would take to travel over a distance would be to increase the speed.
Answer:
see below
Step-by-step explanation:
if time decreases.... the velocity will decrease.
ex.
d = v/t
100 m = v/10 sec v = 1000 m/s
100 m = v/5 sec v = 500 m/s
100 m = v/1 sec v = 100 m/s
therefore,
if we decrease the time it takes for a car to travel over the same distance,
the velocity decreases too.
How many meters are there in 48 km?
f(n+1)=f(n)-3 f(1)=15
Answer:
f(n+1) = 13
Step-by-step explanation:
We know that f(1) = 15So we can substitute this for f(n)-3With this:f(n+1) = f(1) -3 f(n+1) = 15-2f(n+1) = 13A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem.
Answer:
$27
Step-by-step explanation:
10% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
Answer:
27$
Step-by-step explanation:
0% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
Witch pair of numbers are both equivalent to 0.2?
1/5, 20%
5/100, 2%
1/5, 2%
20/100, 25%
Answer:
1/5, 20%
Step-by-step explanation:
1/5 = 0.2
20 % = 20/100 = 0.2
1/5, 20%
Which point is a solution of
y = 3x+4 ?
O (1,5)
O (2, 10)
if PQ=8 and Q lies at -13 where could P be located?
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Solve for pi please.
Answer:
2A / r^2 = pi
Step-by-step explanation:
A = 1/2 pi r^2
Multiply by 2
2A = pi r^2
Divide by r^2
2A / r^2 = pi r^2/r^2
2A / r^2 = pi
Football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many years do they need to gain on the next play to get back their original position?
I really need help please help me
what is 63,120,000 written in scientific notation
Writing a number in scientific notation involves writing the number to the appropriate power of 10. Hence, the number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]
Given the number : 63,120, 000
63,120,000 = 6312 × 10000
6312 = 6.312 × 1000
63,120,000 = 6.312 × (10000) × (1000) = 6.312 × 10000000
We can expressed the value to the power of 10 thus :
6.312 × 10000000 = 6.312 × [tex]10^{7} = 6.312 \times 10^{7} [/tex]
Therefore, the Number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]
Learn more : https://brainly.com/question/18405415
Find the sum. Write the answer in simplest form. 1/4 + 1/5
Answer:
9/20
Step-by-step explanation:
Step 1:
1/4 + 1/5
Step 2:
5/20 + 4/20
Answer:
9/20
Hope This Helps :)
Answer
9/20
Step by Step
I got this by turning the 1/4 into a 5/20 and then turned the 1/5 into a 4/20 and then added from there
5/20+4/20=9/20
You have to turn the fractions denominator into the same number by finding the lowest common denominator.
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
They should all be true because she is 56 inches tall and the minimum for the roller coasters is 54 inches. So its probably the same minimum for the drop tower.
Step-by-step explanation:
Answer:
a. True
b. True
c. True
d. True
Step-by-step explanation:
all true because the min height to ride the drop tower is 51 in
and the roller coaster is almost the same as 51 in.
if Cindy is 56 in high, then Cindy can ride both the roller coaster and the drop tower.
Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but we need to convert to monthly:
Answer:
$225
Step-by-step explanation:
A quarter is made up of 4 months,
If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225
John's teacher bought three 64 ounce bottles of soda for a class party. At the end of the party, 1/6 of the soda remained. How many ounces of soda remained?
Answer: 10
Step-by-step explanation:
64/6=10 therefore it is 10
Simplify : 15y - 10 + y(2 + 9) -8
Answer:
Simplified expression is 26y - 18
Step-by-step explanation:
15y - 10 + y(2 + 9) - 8
15y - 10 + 2y + 9y - 8
26y - 18
What is 77x38? Im really confused and cant use a calculator.
The volume of a box 4inches wide and 2 inches high and 5 inches long is
Answer:
40
Step-by-step explanation:
4x2x5=40, the formula for volume is LxWxH=V length times width times height
What is the average rate of change from X equals 0 to X equal 5
Answer:
Average rate of change = 5
Step-by-step explanation:
Solve the equation
|-9-7x|=|23-7x|.
Graph the solutions, if possible.
Answer: No Solution
Step-by-step explanation:
When there are absolute values on both sides, you simply just get rid off the signs. (Normally, it results in positive and negative on the other side)
SOLVE:
Given
|-9-7x|=|23-7x|
No absolute value sign
-9-7x=23-7x
Add 7x on both sides
-9=23
ANSWER:
This is no solution, because -9≠23
what is 210 divided by 2 1/2
Answer:
210 divided 2 1/2= 84....
The 210 divided by 2 1/2 is 84.
To calculate 210 divided by 2 1/2, first, we need to convert the mixed number 2 1/2 to an improper fraction. The improper fraction for 2 1/2 is (2 * 2 + 1) / 2 = 5/2.
Now, we can perform the division:
210 ÷ 5/2
To divide by a fraction, we multiply by its reciprocal:
210 * 2/5
Now, perform the multiplication:
(210 * 2) / 5 = 420 / 5
Next, simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 5:
420 ÷ 5 = 84
The result of 210 divided by 2 1/2 is 84. So, 210 ÷ 2 1/2 = 84.
To know more about divided:
https://brainly.com/question/15381501
#SPJ6
A florist can order roses in bunches of 12 and tulips in bunches of 8. Last month she ordered the same number of roses and tulips. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations
Answer
196
Step-by-step explanation:
12*8=96+100=196
Point E is on line segment DF. Given DE = 12 and EF = 6, determine the
length LF.
Answer: 29
Step-by-step explanation:
Answer:
DF=18
Step-by-step explanation:
25 points plz answer this ASAP plz
Answer:
Step-by-step explanation:
P jkijm
2/3x+2= 2 1/3n
A. 0
B. 1/2
C. -2
D. 2
Answer:
A
Step-by-step explanation:
Question 1 of 21
What is the greatest common factor of the polynomial below?
20x3 - 14x
O A. 2x2
O B. 2x
O C. 6x²
O D. 6x
The common factor for the given polynomial is 2x.
What is factor?A factor is a number that divides another number, leaving no remainder.
Given is a polynomial, 20x³-14x
20x³-14x
= 2x(10x²-7)
Hence, the common factor for the given polynomial is 2x.
For more references on factors, click;
https://brainly.com/question/14209188
#SPJ2
solve for y. 3[y-13]=12
Answer:
y = 17
Step-by-step explanation:
3(y-13)=13
3y-39=12
3y=51
y=17
Answer:
y = 17
Step-by-step explanation:
3[y-13] = 12
3*y + 3*-13 = 12
3y - 39 = 12
3y = 12 + 39
3y = 51
y = 51/3
y = 17
Check:
3[17-13] = 12
3*4 = 12
Factor completely
6х2 - 23х + 20
Answer:
The answer is (2x-5) (3x-4).
9.
An amusement park charges $15 for admission and $1.50 for each ride. You go to the park with $30. Write and
solve an inequality that represents the possible number of rides you can go on.
Answer: 15+1.50x ≤ 30 ; less than or equal to 10 rides
Step-by-step explanation:
Subtract 15 on both sides. 15+1.50x ≤ 30Divide 1.50 on both sides. 1.50x ≤ 15x ≤ 10Solve 19 - 81 = 14.
q=-20
q= -18
q = -16
q= -14
q= -12
9 = -10
9 = -8
9 = -6
9 = -4
9 = -2
q=0
a = 2
9 = 4
a = 6
9 = 8
9 = 10
a = 12
9 = 14
9 = 16
9 = 18
9 = 20
9 22
9 = 24
no solution
Answer:
-61
Step-by-step explanation:
why becuase when you do the math thats what you get