Answer:
see explanation
Step-by-step explanation:
Given
6 - 4x - x²
Since the coefficient of the x² term < 0 then parabola has a maximum vertex.
To find the x- coordinate of the vertex
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
with a = - 1 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2
The corresponding y- coordinate is found by substituting x = - 2 , that is
6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10
vertex = (- 2, 10 )
The maximum value of the function is the y- coordinate of the vertex
Then maximum value is 10
Thus 6 - 4x - x² is never greater than 10
i need help on this problem:(
Answer:
see image
Step-by-step explanation:
find the exact value without a calculator cos π\8= cos π/4/2
Answer:
Step-by-step explanation:
1+cos 2a=2cos^2a
cos a=√[(1+cos 2a)/2]
[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
is a=3 b=4 c=2 and d=-2 find the value of 3b²c-2ad
And ac-bd/7
Step-by-step explanation:
remember : calculations are usually done from left to right, but multiplications and divisions come before + and -.
and exponents come before multiplications and divisions.
and minus a negative number always turns into plus a positive number.
so,
3b²c - 2ad = 3×4²×2 - 2×3×-2 = 96 - -12 = 96 + 12 = 108
and
ac - bd/7 = 3×2 - 4×-2/7 = 6 - -8/7 = 6 + 8/7 = 7 1/7 ≈ 7.143
Consider the points (5,0) and (0,3). Plot the points and find the distance between them. Give your answer both in exact form and as a decimal approximation.
Answer:
(5;3)
Step-by-step explanation:
Give your answer both.
The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.
To find the distance between two points, we can use the distance formula:
Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Given the points (5, 0) and (0, 3), we have:
[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]
Substituting these values into the formula:
Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]
Distance = √[tex]((-5)^2 + (3)^2)[/tex]
Distance = √(25 + 9)
Distance = √34
The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.
So, the distance between the points is approximately 5.83095 units.
To know more about distance, refer here:
https://brainly.com/question/24485622
#SPJ3
Sameer had $600 in his savings account. He wants to have at least $100 in the account
by the end of the year. He withdraws $20 a week for expenses. How many weeks can
Sameer withdraw money? Important! When you multiply or divide by a negative
number, the inequality sign reverses.>+<
amounts in savings - amount per week x number of weeks 2 amount of money at the
end of the year
30 weeks
25 weeks
O
5 weeks
20 weeks
Answer:
The answer is 25 weeks
Step-by-step explanation:
Let, Number of weeks = x
Now, the required expression is
∴[tex]600-20x\geq 100\\=>-20x\geq -500\\=>20x\leq 500\\x\leq 25[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
22) solve for x
A) 7
B) -9
C) -10
D) 10
B
Step-by-step explanation:
AM on total = 1/2
so (x+19)/(x+29)=1/2
2x +38 =x + 29
x=-9
To divide 5472 by 81 using the shortened form of the division algorithm, what should be your first thought? Select from the drop-down menus to correctly complete the thought. "How many times does 81 divides into Choose... ?"
5
54
547
5472
Answer:
"How many times does 81 divide into 547?"
Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.
3. Square with side length 40 ft
Answer:
Area of the square:
A = a² = 40² = 1600 ft²Area of the circle:
A = πr² = 3.14*(40/2)² = 1256 ft²Probability of landing in the shaded region:
P = 1256/1600 = 0.785 or 78.5%Answer:
78.5%
Step-by-step explanation:
We can find the area of both shapes then divide to find the probability.
Square area:
40 * 40 = 1600ft²
Circle area with diameter [ 1/4πd² ]:
1/4π(40)²
1/4π(1600)
0.785(1600)
1,256
Now divide both areas to find the probability.
1256/1600 = 0.785
0.785 * 100% = 78.5%
Best of Luck!
help me with this ixl pleaseeeeeeeeee
Step-by-step explanation:
J(-3,9)
k(-10,9)
L(-10,4)
M(-3,4)
300 divided by 6 times to the 2nd power divided by 3.14, i need help.
Answer:
Step-by-step explanation:
300÷6x²÷3.14=2.6539278131634819533
What is the square root of 1 to the second power
Answer:
1
Step-by-step explanation:
The second power and square root cancel each other (second power means squared by the way)
Find the mean, median, mode, and range of the data set.
9, 3, 15, 7, 2, 4, 3
If necessary, round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
Mean = Sum of data ÷ number of data set
[tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]
Median:
Arrange the data in ascending order:
2 , 3 , 3 , 4 , 7 , 9 , 15
Middle term is the median of the data set
Median = 4th term = 4
Mode:
Mode is the data whose is frequency is more.
So, mode = 3
Range = Maximum - minimum
= 15 - 2
= 13
What is answer to 3+2•5•8
Help!!! Please i need helppppoo
Hey there! I'm happy to help!
Our goal here is to write the function (equation) that represents what Carlos has graphed. This is a line, so we can use the slope-intercept equation to represent it.
Our slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept.
If we look at the graph, we see that the the line intersects the y-axis at the point (0,0), also known as the origin, so our y-intercept is 0.
To find our slope, we need to first find two points on the line. Well, we already have (0,0). The next point on the line that seems to have integers is (7,5). This means that from (0,0) our rise is 5 and our run is 7, and since slope is rise over run, that means that our slope is 5/7 (for every one unit we go over, the line goes up 5/7).
Now, we just throw these numbers into the equation.
y=5/7x
or
f(x)=5/7x (if it needs to be in that function format)
Have a wonderful day and keep on learning! :D
c = 8 π a b will give brainliest and 30 points
Answer:
2nd option
Step-by-step explanation:
Given
c = 8πab ( isolate a by dividing both sides by 8πb
[tex]\frac{c}{8\pi b}[/tex] = a
Combine the like terms to create an equivalent expression for −5j+(−2j)+3
Answer:
-7j + 3
Step-by-step explanation:
Combine like terms:
-5j + (-2j) = -7j
-7j + 3
Answer and Step-by-step explanation:
Simply combine the values together.
-5j - 2j + 3
-7j + 3 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Which of the following is the equation for the line of symmetry in this figure?
the marked price of a watch is rs 2700.If allowing 2V% discount on the marked price and adding V% vat, the value of the watch will be rs 2376.Find the rate of vat.
−1/3−(−1/2)
3 1/3 - 5
−1 4/5−(−2 7/8)
−3 3/8−7/8
4 3/4−(−1 1/12)
I WILL GIVE YOU 20 POINTES IF YOU FINISH THIS BY THE END OF THE DAY
Hi ;-)
[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]
3(y+2)-5=22
Solution of the equation?
Answer:
[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]
Answer: 7
Step-by-step explanation:
3y+6-5=22
3y+1=22
3y=22-1
y=21/3
y=7
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Answer:
please help me my friend
Please help!!!!!!!!!!!
Answer:
y is larger.
Step-by-step explanation:
Along the same vertical line, 2 points have the same x value. So x=2 and y=4.
The cost of renting the Party Barn is $150 flat fee plus an additional $50 per hour. Manny can spend up to $325 to rent
the Party Barn for his birthday party. What are the possible hours that Manny could rent the Party Barn?
50 m + 4 % please help
Answer:
52 meters
Step-by-step explanation:
each percent is 1, so 50m plus 4 percent equals 52
I tried it many time but not got the correct answer , anyone could plz help me
Aayush got Rs1881 intrest of certain sum for 2 year at 9% compounded yearly . find the sum.
Answer:
C.I=P(1+r/100)^n-1
1881=p(109/100)^2-1
1881=p(11881-10000/10000)
1881=p×1881/10000
1881/1881×10000=p
P=10,000
give an example of a true statement that has a false converse?
it’s for geometry math.
There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".
The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.
------------------------
Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.
Find f(-3) if f(x) = -2x^2 + x + 3 and g(x) = -2x + 1
HELP please explain how to do it
Since you're trying to find f(-3), your function that you have to plug -3 into will be f(x).
f(-3) = -2(-3)^2+(-3)+3
f(-3) = -2(9)+(-3)+3
f(-3) = -18-3+3
f(-3) = -18 is your final answer
How many pumps will it take to fill the giant soccer ball.
Find the exact solution of -x^2+3x+7=0 by using the Quadratic Formula?
There are 20 identical solid hemispheres. The curved surface and the flat surface of each hemisphereare are to be painted red and yellow respectively. Find the ratio of the amount of red paint needed to the amount of yellow paint needed.
Answer:
2:1.
Step-by-step explanation:
The area of a red curved surface = 2πr^2.
The area of the yellow flat surface = πr^2.
This is the case for all the hemispheres.
Therefore the required ratio = 2πr^2 : πr^2
= 2:1.
