Step-by-step explanation:
there is something wrong with your problem description.
you really mean x² - 6x² + 16 ?
or is it 2x - 6x² + 16 ?
in any case this would be a squared equation, which does not have 2 turning points.
we would need an equation with x³.
for that we would create the 1st deviation, which would be then a squared equation with 2 solutions, which would be the 2 turning points of the initial equation.
9) Three times a number added to 12 gives -6. Find the number.
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
The graph of h(x) = (x - 3)2 is a translation of the
graph of f(x) ….. blank
by
…. Blank units.
Answer:
right by 3 I think
Step-by-step explanation:
Answer: Right by 3 Units
Step-by-step explanation:
Right on edge 2021
If f(x) =x/4 - 3 and g(x) = 4x2 + 2x - 4, find (f +g)(x).
A. x2-12
B. 4x2 +Zx-7
C. 4x2+2x+1
D. 4x2+x-7
Answer:
4x^2 +9x/4 -7
Step-by-step explanation:
f(x) =x/4 - 3
g(x) = 4x^2 + 2x - 4
(f +g)(x) = x/4 - 3 + 4x^2 + 2x - 4
= 4x^2 + 8x/4+x/4 -7
= 4x^2 +9x/4 -7
Please help me
A person starts walking from home and walks: 6 miles East 6 miles Southeast 3 miles South 5 miles Southwest 2 miles East This person has walked a total of 22Correct miles Find the total displacement vector for this walk: If this person walked straight home, they'd have to walk miles
Answer:
1) The total displacement vector is ((16 + √2)/2, -(6+11·√2)/2)
2) The number of miles they'd have to walk is approximately 13.856 miles
Step-by-step explanation:
1) The distance, direction, and location of the path of the walk the person takes, are listed as follows;
Start location, (0, 0)
6 miles East walk to location, (6, 0)
6 miles Southeast to location, (6 + 3·√2, -3·√2)
3 miles South to location, (6 + 3·√2, -3·√2 - 3)
5 miles Southwest to location, (6 + 3·√2 - 2.5·√2, -3·√2 - 3 - 2.5·√2)
2 miles East to location, (6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2)
(6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2) = ((16 + √2)/2, -(6+11·√2)/2)
Therefore the destination coordinates is ((16 + √2)/2, -(6+11·√2)/2)
The total displacement vector, [tex]\underset{d}{\rightarrow}[/tex] = ((16 + √2)/2, -(6+11·√2)/2)
d = (16 + √2)/2)·i - (6+11·√2)/2)·j
2) If the person walked straight home, the number of miles they'd have to walk, [tex]\left | \underset{d}{\rightarrow} \right |[/tex], is given as follows;
[tex]\left | \underset{d}{\rightarrow} \right | = \sqrt{\left(\dfrac{16 +\sqrt{2} }{2} \right)^2 + \left(-\dfrac{6 + 11 \cdot \sqrt{2} }{2} \right)^2 } = \sqrt{134 + 41 \cdot \sqrt{2} }[/tex]
Therefore;
If the person walked straight home, the number of miles they'd have to walk [tex]\left | \underset{d}{\rightarrow} \right | \approx 13.856 \ miles[/tex]
Write the equation of the line with a slope of 4 that contains the point (5, 8).
Answer:
y = 4x - 12
Step-by-step explanation:
y = 4x + b
8 = 4(5) + b
8 = 20 + b
-12 = b
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]
Given that,
A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).
So,
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]
NOW,
The equation is :
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C"?
) Con robot của bạn An được lập trình có thể đi thẳng, quay trái hoặc sang phải một góc 900. Trong cuộc thi "Phát động tài năng ", con robot của bạn An xuất phát từ điểm A đi thẳng 4m, rồi quay sang trái đi thẳng 3m, sau đó quay sang phải rồi đi thẳng 4m, rồi tiếp tục quay sang trái đi thẳng 3m đến B. Hãy tính khoảng cách AB .
Step-by-step explanation:
chắc là nó như này à :>♡♡♡
calculate the speed, in ms-¹ of vehicle A and of vehicle B
9514 1404 393
Answer:
A: 0.32 m/sB: 0.56 m/sStep-by-step explanation:
The speed is the ratio of the change in distance to the corresponding change in time.
Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...
A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s
Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...
B = (28 m)/(50 s) = 0.56 m/s
pls help my mom will literally scream at me lol . thank you sm:)
Answer:
The amount Tobie invests in a bank, P = $25
The annual compound interest rate, i = 4%
a. The principal is amount invested in the bank, P = $25
The annual interest rate, i = 4%
b. The function that represents Tobie's account balance, A, after t years is given as follows;
[tex]A(t) = P \cdot (1 + i)^t[/tex]
Where;
A(t) = The amount in the account after t years
P = The principal amount
i = The annual compound interest rate
t = The number of years
c. The values to place in the table are found as follows;
At t = 0, [tex]A(0) = 25 \times(1 + 0.04)^0[/tex] = 25
At t = 10, [tex]A(10) = 25 \times(1 + 0.04)^{10}[/tex] = 37
The given table is presented as follows;
[tex]\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}[/tex]
Step-by-step explanation:
pls answer my question from the above picture
Answer:
Step-by-step explanation:
[tex]a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}[/tex]
As bases are equal in boht sides, we can compare the exponents.
-2x + 1 = -11
Subtract 1 form both sides
-2x = -11 - 1
-2x = -12
Divide both sides by -2
x = -12/-2
x = 6
if a = 3 and b=2,find the value of a square+2ab and (a+b)square
Answer:
a^2+2ab = 21
(a+b)^2= 25
Step-by-step explanation:
(a+b)^2 = a^+2ab+b^2
sub a=3 and b=2 and simplify
Which statement can be modeled by x + 3 < 12?
Julie has 3 notebooks. Together, Mary and Julie have less than 12
notebooks
Sam sold 3 mobiles. To earn a prize, Sam must sell atleast 12 mobiles.
Frank has 3 hats. Frank and his brother Peter have more than 12 hats.
Sandy walked 3 miles yesterday. She must walk more than 12 miles.
Answer:
Step-by-step explanation: i think in my own word x+3<12 is A because it said julie only 3 notebook togerther it make itt less than 12notebook
A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?
Using Pythagoras theorem
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]
[tex]\\ \Large\sf\longmapsto P^2=225[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]
[tex]\\ \Large\sf\longmapsto P=15ft[/tex]
Answer:
Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)Step-by-step explanation:
we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)
In a right triangle, two sides are 12 and 13. Find the measure of the third side. Consider all cases.
Answer: Approximately 17.69
Step-by-step explanation:
The formula needed to find the third side of this equation is the Pythagorean theorem. Which is as follows:
[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}[/tex]
The difference between the two is that the first one after you do [tex]a^2+b^2[/tex] you still need to square root the answer you get to get the third side, aka. the hypotenuse. If you do the second method, you get the answer after you do the calculation which is a lot easier.
Below are the calculations needed to be made in both ways:
[tex]12^2+13^2=313\\\sqrt{313}= 17.69[/tex] 17.69 was rounded to the hundredths place.
[tex]\sqrt{12^2+13^2}=17.69[/tex] once again this answer was rounded to the hundredths place.
[tex]a^2+b^2[/tex] are respectively for the sides of the triangles.
[tex]c^2[/tex] is respectively for the hypothenuse, which is the longest side, and across from the right angle (located by a box).
Answer:
5 or 17.69
Step-by-step explanation:
1st case senario:
c^2=a^2+b^2
c^2=12^2+13^2
c^2=144+169
c^2=313
c^2=[tex]\sqrt{313}[/tex]
c=17.69
2nd case senario:
144+b^2=169
b^2=169-144
b^2=25
b^2=[tex]\sqrt{25}[/tex]
b+5
Simplify
Rewrite the expression in the form 9^n
(9^2)^5
Answer:
9^10
Step-by-step explanation:
(a^b)^c = a^(b×c)
hihi
State the equation, in slope-intercept form, of each of the following graphs of linear relations.
Explain how the equation was determined.
Answer: y=80/5x+80
Step-by-step explanation:
At one point graph goes from (0,400) to (25,800). So the y intercept is 400 because that’s where the line was at x=0. 0 to 25 is 25. 400 to 800 is 400. So the equation would be y=400/25x+400. But you can divide all of it by 5 to get y=80/5x+80.
solve the triangle. Round decimal places to the nearest place
Value ofc -x^2+3x+c=0
Answer:
they are the values of the 3 coefficients.
Step-by-step explanation:
I need help with this question. Pls give me an answer /steps and explanations.
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
Express your answer using positive exponent.
[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]
adding power of common term and multiply constant term:
[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]
[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
[tex]30s^5t^9u^{10}v^8[/tex]
Step-by-step explanation:
We'll be using the following exponent property to solve this problem:
[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]
This will allow us to combine terms with the same variable.
In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].
Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.
Therefore, combine using the exponent property I mentioned above:
[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]
Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].
Combine using the exponent property:
[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]
Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:
[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]
[tex]v^7\cdot v=v^{7+1}=v^8[/tex]
Finally, combine all the terms together:
[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]
In parallelogram QRST if RU=17 find UT.
please help have a lot of lessons
highest common factor of 80,90 and 120
Answer:
10
Step-by-step explanation:
The highest number in which 80, 90 and 120 can be divided by is 10.
80÷10=8
90÷10=9
120÷10=12
Answer:
10
Step-by-step explanation:
8090/10 = 809
120/ 10 = 12
find the area of triangle
i. b=6cm ,h=4cm
ii. b=5cm ,h=7cm
iii. b=8.4 cm ,h=5cm
answer
[tex]i.12cm {}^{2} [/tex]
[tex]ii.17.5cm {}^{2} [/tex]
[tex]iii.21cm {}^{2} [/tex]
Answer:
Step-by-step explanation:
What are we supposed to do? You already have the answers and they’re all correct if that’s what you wanted to know
The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP
Answer:
A. 75.40 m³
Step-by-step explanation:
Diameter of cylinder (d) = 4 m
Radius (r) = ½(d) = ½(4) = 2 m
Height (h) = 3 × r = 3 × 2 = 6 m
Volume of cylinder = πr²h
Substitute the values
Volume of cylinder = π*2²*6
Volume of cylinder = π*4*6
Volume = π*24
Volume = 75.40 m³
I need help I don't understand this.
Answer:
x=5
Step-by-step explanation:
(5x+2)/3 = 9
Multiply each side by 3
(5x+2)/3 *3 = 9*3
5x+2 = 27
Subtract 2 from each side
5x+2-2 = 27-2
5x = 25
Divide by 5
5x/5 = 25/5
x =
pls help me i really need it!
Answer:
A
Step-by-step explanation:
Find the domain of h(x) = 2x - 9 given a range of (-7,5,11)
Answer:
D = 1,7,10
Step-by-step explanation:
-7 = 2x - 9
x = 1
5 = 2x - 9
x = 7
11 = 2x - 9
x = 10
the domain of (1,7,10)
What is the surface area of a dome (a half sphere) with a radius of 12 meters?
576 pie meters squared
48 pie meters squared
288 pie meters squared
96 pie meters squared
432 π m²
Answer:
Solution given:
radius of dome[r]=12m
now
Are of dome(semi sphere)=3*πr²=3*π*12²=432πm²
The surface area of a dome (a half sphere) with a radius of 12 meters is,
⇒ 1356.48 meters²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
⇒ Radius of sphere = 12 meters
Now, We know that;
⇒ The surface area of a half sphere = 3πr²
Here, r = 12 m
Hence, The surface area of a dome (a half sphere) with a radius of 12 meters is,
⇒ 3πr²
⇒ 3 × 3.14 × 12²
⇒ 1356.48 meters²
Thus, The surface area of a dome (a half sphere) with a radius of 12 meters is,
⇒ 1356.48 meters²
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
Please help me: 1/2(6h-4) = -5h+1
Answer:
h = 3/8
Step-by-step explanation:
1/2(6h-4) = -5h+1
Distribute
3h -2 = -5h+1
Add 5h to each side
3h-2+5h = -5h+1+5h
8h-2 = 1
Add 2 to each side
8h-2 +2 = 1+2
8h = 3
Divide by 8
8h/8 = 3/8
h = 3/8
The sum of two rational numbers is 9 and one of them is − 3, then the other is_.( ) 10
Answer:
12
Step-by-step explanation:
let the rational number be x
x+(-3) = 9
x = 9+3 = 12
Answer:
12
Step-by-step explanation:
x + y = 9
x = -3
=>
-3 + y = 9
y = 12
