=========================================================
Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
--------
Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
What is one of the solutions to the following system? Y-3=x, x2-6x+13=y
Answer:
x = 5, x = 2
Step-by-step explanation:
substitute what y equals in the second equation into the first equation.
x²-6x+13-3=x
x²-7x+10 = 0
(x-5)(x-2) = 0
x = 5, x = 2
Answer:
It's C my man
Step-by-step explanation:
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years? Express your answer rounded to the nearest cent.
Answer:
A = $ 34,162.89
Step-by-step explanation:
A = $ 34,162.89
A = P + I where
P (principal) = $ 20,000.00
I (interest) = $ 14,162.89
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Answer:
34,162.89
Step-by-step explanation:
What is the best estimate of 11% of 448?
Answer:
49.28.
Step-by-step explanation:
11% = 10% + 1%
So 11% of 448 = 44.8 + 4.48
= 49.28.
The best estimate of 11% of 448 is 49.28.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.
11% of 448 = 11 / 100 × 448 = 0.11 × 448
= 49.28
Hence, the best estimate of 11% of 448 is 49.28.
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PLZ I need help, it's URGENT!
I don't know if my answers for problems 1-3 are correct, can someone help me please. Thx
Find the area of the figure.
Answer:
First find the area of the rectangle.
length x width = area
160 x 20 = 3200 area of rectangle
150 - 20 = 130
160 - 110 = 50
length x width / 2 = area of triangle
130 x 50 = 6500 / 2 = 3250
3200+3250=6450 square meters
Hope this helps
Step-by-step explanation:
I have no idea what im doing, can someone please help me? ASAP!!!! Use the pythagorean theorem to find the missing slide.
Answer:
1. b=√56
Step-by-step explanation:
1. Pythagorean therom states a²+b²=c² and in number 1 we are given the c or the hypotenuse so plugging in the values we know 13²+b²=15²
which equals 169+b²=225 subtract 169 from both sides and we get b²=56
square root both sides and we get b=√56
how to solve x - 7 = -13
Answer:
x = -6
Step-by-step explanation:
to solve this you can just add 7 to both sides of the equation.
x -+7 = -13
+7 +7
x = -6
this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.
hope it helps!
In a certain board game, a number cube is rolled to determine the number of spaces a player gets to move. Use the table above to determine the expected value of the number of spaces a player moves. Round the answer to the nearest tenth. 1.0 1.3 2.2 13.0
Answer:
A. 1.0
B. 1.3
C. 2.2
D. 13.0
Answer:
B.
Step-by-step explanation:
if you're good at parabolas please help meeeee
Find the equation of the following parabola
Answer:
Step-by-step explanation:
it is symmetric about y-axis and its axis is x=0
and vertex is (0,2)
so parabola is y=a(x-0)²+2
(2,4) lies on it.
4=a(2)²+2
4a=2
a=1/2
so y=1/2 x²+2
Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,19.6
Answer:
19.8
Step-by-step explanation:
You have to first put the numbers into ascending order:
8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.
Because there is an even amount of numbers, you end up with 19.6 and 20.
The in between of 19.6 and 20 is 19.8.
(You can work this out by adding the two numbers together and then dividing by two if you have to.)
1.) Predict how many times you will roll a number less than 3 if you roll a standard number cube 100 times. Round to the nearest integer, if necessary.
You will roll a number less than 3 about____
times.
2.) you flip a fair coin 28 times. About how many times would you expect heads to appear?
If a fair coin is flipped 28 times then heads should appear about______
times.
Step-by-step explanation:
i dont know one. but number to is 14. hope it helps
What was the mean number of peas in a pod 2 4 5 6 6 7 8 10 14 18
Answer:
The mean is 7.5
Step-by-step explanation:
1.add all of the numbers together
2.Divide by 10 since you have 10 numbers to add
Hope this Helps!
Please answer the question stated below
Answer:
2968
Step-by-step explanation:
First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters
Answer:
725 + 579 + 696 = 2000 (What a coincidence)
112% = 112 / 100 = 1.12
Multiply the increase
2000 x 1.12 = 2240
2240 is the amount of scooters sold.
Step-by-step explanation:
4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2
Answer:
8x^4 - 28x^3 + 4x^2.
Step-by-step explanation:
4x(2x^3 - 7x^2 + x)
= 4 * 2x^3 + 4x*-7x^2 + 4x*x
= 8x^4 - 28x^3 + 4x^2.
Answer:
8[tex]x^{4}[/tex]-28x³+4x²
Step-by-step explanation:
4x(2x³-7x²+x)=
8[tex]x^{4}[/tex]-28x³+4x²
2x³ × 4x = 8[tex]x^{4}[/tex]
7x² × 4x = 28x³
x × 4x = 4x²
Need by like 10 minutes
Answer:
The final answer is [tex]n > -1[/tex], which would be the first choice.
Step-by-step explanation:
-Solve the inequality:
[tex]-6n + 5 < 11[/tex]
-Subtract both sides by [tex]5[/tex]:
[tex]-6n + 5 - 5 < 11 - 5[/tex]
[tex]-6n < 6[/tex]
-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:
[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]
[tex]n > -1[/tex]
So, the final answer would be [tex]n > -1[/tex].
Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
Pls help me to solve this
Answer:
see below
Step-by-step explanation:
19-3 will be greater
We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1
18-3 = 16
1/2 * (19-3)
Using PEMDAS
We do parentheses first
1/2 ( 16)
Then multiply
8
The point (-2, -3) is on a circle that has center (-2,6). Find the length of the diameter of the circle.
Answer:
18
Step-by-step explanation:
√(-2 - -2)² + (6 - -3)² = 9 = radius
diameter = 2r = 18
What is the product?
(5 r + 2)(3 r minus 4)
15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8
Answer:
The answer would be the last one
_________________________________
Solution
(5r+2)(3r-4)
=5r(3r-4)+2(3r-4)
=15r^2-20r+6r-8
=15r^2-14r-8
So the right answer is 15 r squared minus 14 r minus 8.
Hope it helps
Good luck on your assignment
______________________________
the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator
Answer:
11
Step-by-step explanation:
Given Fraction
Let the denominator = x
The numerator is 2x + 1
2x + 1
=====
x
The new fraction
2x + 1 + 4
=========
x + 4
Equation
2x + 5 5
====== = ====
x + 4 3
Solution
Cross Multiply
3(2x + 5) = 5(x + 4)
Remove the brackets
6x + 15 = 5x + 20
Subtract 5x from both sides
6x - 5x + 15 = 20
Subtract 15 from both sides
x = 20 - 15
x = 5
============
Answer
2(5) + 1 = 11
The original numerator is 11
Which of the following expressions can be factored by grouping? (Select all that apply.)
a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
30 points !!!please help is this right???
Answer:
-3k +10
Step-by-step explanation:
-3k - (-8) +2
Subtracting a negative is like adding
-3k +8+2
Combine like terms
-3k +10
Answer:
Its actually not. So first the -3k is already simplified. The --8 becomes +8
its -3k+8+2 =
-3k+10
At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer
"Two complementary angles are not congruent."
Answer:
40 and 50,20 and 70
Step-by-step explanation:
complementary angles are angles that added equal to an angle of 90 degrees and it says they are not congruent so the two angles are diferent
the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.
The given statement is "Two complementary angles are not congruent."
What are complementary angles?Two angles are Complementary when they add up to 90°.
Now, if we add 45°+45°=90°
Therefore, the given statement "Two complementary angles are not congruent" is not true. The counter-example is 45°+45°=90°.
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What is the range of the data
represented in the dot plot below?
2
3
0
Answer:
Range = 3
Step-by-step explanation:
First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.
Hope this helps! :D
let g(x)= -x^2+4x+4. Find g(p). g(p)=_____
Answer:
g(p)= -p^2+4p+4
Step-by-step explanation:
g(x)= -x^2+4x+4
Replace x with p
g(p)= -p^2+4p+4
NEED HELP. as soon as possible
help please very confused.
Answer:
12.
Step-by-step explanation:
Replace k in the radical by -2:
So we have √(-72*-2)
= √144
= 12.
Answer:
12
Step-by-step explanation:
[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]
There are 48 students studying a foreign language at the
community college. If the only two foreign languages offered are
French and Spanish, and 28 students are studying French, which of
the following represents the ratio of students studying Spanish to
the total number of foreign language students?
Answer:
5/12
Step-by-step explanation:
If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.
Answer:
5 to 12
Step-by-step explanation:
Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.
Hope this helped!
∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 {supplementary}
3x - 17 + 5x + 21 = 180
Add the like terms
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Answer:
x = 22
Step-by-step explanation:
Supplementary angles add to 180
<1+ <2 =180
(3x - 17) + (5x + 21) = 180
Combine like terms
8x +4 = 180
Subtract 4 from each side
8x +4-4 = 180-4
8x = 176
Divide each side by 8
8x/8 = 176/8
x = 22
The solution of the equation 10 - (x +2) = 7x is -
5
-2
0
1
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
We have the equation
[tex]10-(x+2)=7x[/tex]
The first thing we need to do is distribute the negative throughout the parenthesis
[tex]10-x-2=7x[/tex]
Now, we can combine like terms
[tex]8-x=7x[/tex]
Now we can add x to each side
[tex]8x=8[/tex]
And lastly, we can divide each side by 8
[tex]x=1[/tex]
Our last step is to check our answer
[tex]10-(1+2)=7(1)\\\\10-(3)=7\\\\7=7[/tex]
Answer:
1
Step-by-step explanation:
1) 10-x-2=7x
2) -x + 8 = 7x
3) 8x=8
4) x=1