Answers
9514 1404 393
Answer:
y = 1/2x^2 +x -15/2
Step-by-step explanation:
The vertex is the point where the graph reaches is extreme: (-1, -8). The y-intercept is (0, -7.5). The x-intercepts are (-5, 0) and (3, 0).
When the quadratic is written in the form ...
y = x^2 +bx +c
the value of b is the opposite of the sum of the x-intercepts. The value of c is their product. These facts would give ...
y = x^2 -(-5 +3)x +(-5)(3) = x^2 +2x -15
The constant in this equation is -15, which is the value y has when x=0. Our actual y-intercept is half that, so the graph we see is this equation scaled by a factor of 1/2:
y = 1/2x^2 +x -15/2
_____
Alternate solution
You can start with the vertex form.
y = a(x -h)^2 +k . . . . . . . vertical scale factor 'a' and vertex (h, k)
On the graph, the vertical scale factor is the vertical difference between the low point (vertex) and the point that is 1 unit right or left. Here, that is ...
-7.5 - (-8) = 0.5 = a
We've already said the vertex is (h, k) = (-1, -8), so the vertex form equation is ...
y = 0.5(x +1)^2 -8
We know the square of a binomial is (a+b)^2 = a^2 +2ab +b^2, so we have ...
y = 0.5(x^2 +2x +1) -8
y = 0.5x^2 +x +0.5 -8 . . . . . eliminate parentheses
y = 0.5x^2 +x -7.5
Related Questions
Write 56/1000 as a decimal.
Answers
Answer:
0.056
Step-by-step explanation:
Answer:
56/1000 = .056
Step-by-step explanation:
56/100 = .56
56/1000 = .056
56/10000 = .0056
Help me please ASAP!!!
Answers
Answer:
answer c
Step-by-step explanation:
Answer:
D. 116 square cm
Step-by-step explanation:
This is because the formula to find the area of a triangle is h(b/2). 15 divided by 2 is 7.5 and 7.5 multiplied by 4 is 30. The square's area is 16 and the parallelogram 70. 70 + 30 + 16 = 116.
Use the disributive property to finish the expression that is equivalent to 12 + 4x.
12 + 4x = ___ (3 + x)
Answers
Answer:
12 + 4x = 4(3 + x)
Step-by-step explanation:
Think about what you need to multiply (3 + x) by to get 12 + 4x.
Which of the following numbers has the most number of significant digits?
A. 1.56
B. 23.07755
C. 500.005
D. 1.005
Answers
Answer: B. 23.07755 has 7 significant digits
Step-by-step explanation:
The sum of Ryann and Lori's ages is 96. Lori's age is
seven times Ryann's age. How old is Ryann?
Answers
Answer:
R = 12
L = 84
Step-by-step explanation:
R + L =96
L = 7R
R = 1R
L = 7R
1 R + 7R = 8R
R = 12
L = 84
hope it helps,
Find the value of Sin^-1(-√3/2)
Answers
Answer:
The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .
Step-by-step explanation:
Find the volume of the rectangular prism.
11 cm
11 cm
11 cm
Volume
[?] cm
cm
Answers
Answer: 1331
Step-by-step explanation: v=lwh
The volume would be 1,331 cm cubed. I hope this helps, have a good day!
help pls at least some °ω°
Answers
2.4 x 6 = 14.4
5.3 x 7 = 37.1
7.2 x 8 = 57.6
5.1 x 9 = 45.9
i did the entire first row
Answer:
12.5
14.4
37.1
57.6
45.9
71.1
77.4
70.4
60
59.4
47.6
34.2
48.3
67.5
75.6
$775 at 6% simple interest for 3 years.
Answers
$775 at 6% simple interest for 3 years.
____________________Solution :-Given Information :-Principal ( P ) = $775Rate of Interest ( R ) = 6% p.a.Time Period ( T ) = 3 years To Find :-Simple Interest Formula Used :- [tex] \boxed{ \sf\dfrac{principal \times rate \times time}{100} }[/tex] Calculation :-Substituting the given values in the formula, We get,
[tex] \sf: \implies \dfrac{775 \times 6 \times 3}{100} [/tex]
Calculating further, We get,
[tex] \sf: \implies \dfrac{13950}{100} [/tex]
Dividing, We get,
[tex] \sf: \implies \$ 139.50[/tex]
∴ The Simple Interest is $139.50
____________________Final Answer :-The Simple Interest is $139.50____________________Find the missing value so that the line passing through the 2 points has the given slope.
(-7,-3) and (-1. y); slope: 1
Answers
Answer:
3
Step-by-step explanation:
We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,
→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )
The points here are (-7,-3) and (-1,y) . Using formula of the slope , we have ,→ m = -3 - y / -7 - (-1)
→ 1 = -(3+y)/ -7+1
→ 1 = -(3+y) / -6
→ 6 = 3 + y
→ y = 6 - 3
→ y = 3
Hence the value of y is 3 .HELPPPPPP PLEASEEEEEEEEEE
Answers
Answer:
Step-by-step explanation:
A quadrilateral has the following vertices on a coordinate plane:
Point J: (3,−6)
Point K: (−1,−6)
Point L: (−1,2)
Point M: (3,2)
Enter the length of side JK.
units
Answers
Answer:
We have to draw it!
Step-by-step explanation:
Use graph paper:
4 units i graphed it out
Find the volume. Use pi as part of the equation. Round to the nearest 10th
Answers
Answer:
301.4 ft.
Step-by-step explanation:
The radius of this circle is 4; the height of this circle is 6.
Using the formula, πr²h, we can plug-in the unknown values.
In the formula, 'r' means radius, 'h' means height, 'π' means pi. 3.14 is often a substitute for pi.
πr²h - π4² · 6 = 301.44.
301.44 rounded to the nearest tenth is 301.4.
Therefore, the volume of this cylinder is 301.4 ft.
please help me i cant get it right
Answers
Answer:
-60%
22 - 56
__________ x 100 ~ -60.7
~
56
Round 60.7
-60%
Hope this helps
-Tobie the dog <3
Answer:
61%
Step-by-step explanation:
1) We are changing the percent from 56 down to 22
2) This means that there will be a negative change in percent
3) This is because the new value (22) is smaller than the old value (56)
4) We must find the change from 56 to 22 in a percent
1) Find the difference between 56 and 22 as a number.
The difference between 56 and 22 is 34
2) Divide the result from Step 1 by the starting number 56.
34 ÷ 56 = 0.60714285714
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
0.60714285714 x 100 = 60.71
4) Round the result from step 3 to the nearest percent.
60.71 ≈ 61%
Make sure you round to the nearest whole percent. In this case it would be 61%
Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.
Answers
Hope this helps :)
Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!
Answers
Answer:
so the answer is about 8.40
Steps
--------------------------------------------------------------------------------------------------------------
find the number in the tenth place and look one place to the right for the rounding digit. Round up if the number is greater than or equal to 5 but since 2 is less than 5, stays the same
16.820⇒16.82
--------------------------------------------------------------------------------------------------------------
8.264⇒8.364
Remember round up if the number is greater than or equal to 5 and round down if the number is less than 5.
--------------------------------------------------------------------------------------------------------------
now that we have rounded everything. It is time to estimate 16.82-8.364.
16.82 is close to 16.80 and 8.364 is close to 8.40.
16.80-8.40=8.40
What is -0.032 + 6.42 ?
Answers
Answer:
6.388
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
6.38800
Step-by-step explanation:
4. The route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet).
Spectators are usually evenly distributed along both sides of the route. Along one
side of 50 feet of the route, you count 15 children. Estimate the number of children
who attended the parade.
PLEASEEE HELP
Answers
Answer:
The estimated number of children who attended the parade is 6,336.
Step-by-step explanation:
Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:
(10,560 / 50) = 211.2
211.2 x 15 x 2 = X
211.2 x 30 = X
6.336 = X
Therefore, the estimated number of children who attended the parade is 6,336.
11. Which expression is equivalent to
8x - 2y + x + x?
a. 4x
b. 8x
c. 6x - 2y
d. 10x - 2y
Answers
Answer:
[tex]10 x - 2y[/tex]
Step-by-step explanation:
[tex]8x−2y+x+x \\ 9x−2y+x \\ 10x−2y[/tex]
Hope it is helpful...Molly is making strawberry infused water. For each ounce of strawberry juice, she uses three times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 84 ounces of strawberry infused water
Answers
Answer:
21 ounces of juice.
63 ounces of water
Step-by-step explanation:
let :
x = ounces of strawberry juice to make the strawberry infused water.
3x = ounces of water needed to make the strawberry infused water.
3x + x = 84
4x = 84
divide both sides of the equation by 4
x = 21 ounces
3x = 3 x 21 = 63 ounces
the nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
please help
Answers
Step-by-step explanation:
a_n=6-n
➜a_1=6-1
➜5➜,a_2=6-2
➜4➜a_3=6-3
➜3➜a_20=6-20
➜-14There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.
Answers
He answered 16 questions correctly, and got 3 wrong answers.
==========================================================
Explanation:
Let
x = number of questions that are correct y = number of wrong answers z = number of questions left blankx,y,z are nonnegative whole numbers.
-------------------
Since there are 20 questions total, this means the first equation to set up is:
x+y+z = 20
Solving for y leads to
x+y+z = 20
y+z = 20-x
y = 20-x-z
We'll use this later.
-------------------
Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.
Let's plug the equation in which we isolated y
7x-4y = 100
7x-4(20-x-z) = 100
7x-80+4x+4z = 100
7x+4x+4z = 100+80
11x+4z = 180
-------------------
Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.
If x = 0, then,
11x+4z = 180
11(0)+4z = 180
4z = 180
z = 180/4
z = 45
So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.
If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation
So another solution is (x,z) = (4,34)
Note that
11x+4y = 180
11(4) + 4(34) = 180
But like before, z = 34 isn't possible since 20 is the max.
Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.
Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.
Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.
Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.
We can see that:
7x-4y = 7(16)-4(3) = 112-12= 100
meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.
-------------------
To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)
Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.
helllppp porfavor:,)
x/9=15/2 rounded to the nearest tenth
20/8.7=5.8/x to the nearest tenth
5/16=11/x nearest tenth
x/0.06=17/0.5 to the nearest tenth
29/x=75/44
Answers
Answer:
1. x = 67.5
2. x = 2.5
3. x = 35.2
4. x = 2.0
5. x = 17.0
Step-by-step explanation:
Question 1
The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:
2x/9 = 15
2x = 9(15)
Next solve for x:
2x = 135
x = 67.5
Question 2
The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:
20x/8.7 = 5.8
20x = 8.7(5.8)
Next, solve for x:
20x = 50.46
x = 2.523
Round to the nearest tenth:
x = 2.5
Question 3
The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:
5x/16 = 11
5x = 11(16)
Next, solve for x:
5x = 176
x = 35.2
Question 4
The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:
0.5x/0.06 = 17
0.5x = 17(0.06)
Next, solve for x:
0.5x = 1.02
x = 2.04
Round to the nearest tenth:
x = 2.0
Question 5
The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:
29(44)/x = 75
29(44) = 75x
Next, solve for x:
1276 = 75x
x = 17.0133
Round to the nearest tenth:
x = 17.0
The SOLT missionaries are throwing a birthday party. There is obviously cake. Mr. Daniel only wants 1/2 of a piece. Mr. Richie eats half of Mr. Daniel's leftover. Ms. Laura eats half of the remaining piece. Ms. Kimberly eats half of Ms. Laura's leftover. Seven more missionaries keep sharing the piece of cake following the same pattern. If Ms. Sarah is the last of the seven, how big is the piece that Ms. Sarah eats?
Answers
Answer:
1/ 112
Step-by-step explanation:
1-½ = ½ ( Mr. Daniel's leftover)
½×½= ¼ ( Mr. Richie)
½×¼= 1/8 ( Ms Laura)
½×1/8 = 1/16 ( Ms. Kimberly)
1/7 × 1/16 = 1/ 112 (the last turn)
so, Ms. Sarah eats 1/ 112 of a piece.
RIGHT ANSWER GETS BRAINLIEST!!!!!
Answers
Answer:
B and C
Step-by-step explanation:
Tahnks for the brainlt
$3 is what percent of $6
Answers
Answer:
50 percent
1/2 of 6 is 3
Answer:
50 percent
Step-by-step explanation:
3^4 + 4 ⋅ 5 = ____. (Input only whole numbers.)
Answers
Answer:
101.
Step-by-step explanation:
3^4 equals 81.
4 times 5 is 20.
81 plus 20 equals 101.
Your answer is 101.
m*n= [tex]\sqrt{x} mn-n2, then 5 *3\\[/tex]
Answers
M = 5
N = 3
The x is still present because there is no known equivalent to x.
The 15 is the mm
The minus 6 comes from n2 ( 3 x 2 )
1) lucy is playing a game where she has to roll a fair number cube with faces labeled from 1 to 6 . what is the probability that she will roll either a 3 or a 4 on her next roll?
a) 4/6
b) 2/6
c) 3/6
d) 1/6
Answers
c
Step-by-step explanation:
this is correct
Answer:
B. That's the right answer I guessPlease help me solve all of this thank you :) have a nice day <3
Answers
Answer:
I don't know how you wanted to round it
1)
SA = 8(7) + 12(7) + 10(7) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
SA = 289.3725
V = [tex]\frac{1}{4}[/tex] (7) [tex]\sqrt{-8^4+2(8x12)^2+2(8x10)2-12^4+2(12x10)^2-10^4}[/tex]
V = 277.80389
2)
SA = 8.1(13) + 8(13) + 8.1(13) + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
SA = 370.94749
V = [tex]\frac{1}{4}[/tex] (13) [tex]\sqrt{-8.1^4+2(8.1x8)^2+2(8.1x8.1)^2-8^4+2(8x8.1)^2-8.1^4}[/tex]
V = 366.2587