Answer:
Step-by-step explanation:
a1=-8
a2=3
D=11
n=-8+11(n-1)
What is the solution to 0. 3(12x - 16) = 0. 4(12 - 3x)?.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]
First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.
[tex]3\left(12x-16\right)[/tex]
[tex]=3\cdot \:12x-3\cdot \:16[/tex]
[tex]=36x-48[/tex]
[tex]4\left(12-3x\right)[/tex]
[tex]=4\cdot \:12-4\cdot \:3x[/tex]
[tex]=48-12x[/tex]
Now we've simplified the expression to:
[tex]36x-48=48-12x[/tex]
[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]
[tex]36x-48+48=48-12x+48[/tex]
[tex]36x=-12x+96[/tex]
[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]
[tex]36x+12x=-12x+96+12x[/tex]
[tex]48x=96[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]
[tex]\frac{48x}{48}=\frac{96}{48}[/tex]
[tex]\bold{x=2}[/tex]
Therefore, the answer is [tex]x = 2[/tex]
The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].
Given equation,[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]
Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.
Simplified expression:Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.
On Solving the brackets, we get
[tex]3.6x-4.8=4.8-1.2x\\[/tex]
[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]
[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]
[tex]\ x= 2[/tex]
Hence, the solution of the given equation is [tex]x=2[/tex].
For more details about expressions follow the link:
https://brainly.com/question/545403
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
Answer:
Thats one heck of a whole lot nuts
Step-by-step explanation:
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆TOP and ∆ZAP
[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]
Hence
∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)
Step-by-step explanation:
Statement Reason
∠O ≅ ∠A Given
TO ≅ AZ Given
∠OPT and ∠ZPA are vertical angles Vertical angles theorem
∠OPT ≅ ∠ZPA Definition of vertical angles
ΔTOP ≅ ΔZAP Angle - angle -side AAS postulate
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
How do you rewrite 7x3+7x5
If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
Help me please just help I need help rn like rn
Answer:
i.900
j.6
k.8
l.0
Step-by-step explanation:
hope this helps you ;)
help with this graph please and thanks
Answer:
Okay, to graph this equation we need to graph the y-intercept first. This time its 7 for you, meaning 0,7. So graph (0,7) as your first point. Then we have your slope, which is -2/3`. So, from (0,7) we will do rise/run. So, our next point will be (3,5). We went down 2 and ran 3. Since its negative, we went DOWN.
-
if you want a third point, just ask!
-
Hope this helps.
-
<3
Plz help brainiest to the correct answer
1. -2 + 15 = 13
If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.
2. The temperature rose 15 degrees
-6 + 9 = 15
Answer:
1 a) 13 degrees Celsius
b) By fifteen degrees
What type of triangle is ACD?
Thank u
Answer:
equilateral triangle
Step-by-step explanation:
B. equilateral triangle
Tell whether the ordered pair (2, 6) is a solution of the system of linear equations. x+y=8 3x-y=0
Answer:
Yes, it is a solution.
Step-by-step explanation:
Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.
1st linear equation: 2+6=8, this is true.
2nd linear equation: 3x2-6=0, this is also true.
Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.
what is the sign of -5 times (-1/-2)
Answer:
-
Step-by-step explanation:
Simplify 3a(2a+7)-2a²
What is the y-intercept of the equation y = 3x - 1
Answer:
you have to go over one on the y axes then 3 up that would be your answer.
your y-intercept would be -1
i need help with this math question
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
__
Additional comment
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
HELP ME PLEASEEEE I NEED ITT !
Answer:
10
Explanation:
130 divided by 13 equals 10
10 times 13 equals 130
This is the change in kinetic energy of a system in which a 16 kg object moving at 25 m/s slows to a velocity of 20 m/s.
The change in kinetic energy of the system is 200 J
Kinetic energy is the energy that an object possesses as a result of its motion.
It is given by:
Kinetic energy = (1/2)m[v - u]²
Where m is the mass of the object, v is the final velocity and u is the initial velocity.
Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:
Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J
The change in kinetic energy of the system is 200 J
Find out more at: https://brainly.com/question/12669551
pls help meeeeeeeeeeee
Answer:
b=22/15 or 1.46 repeating
Step-by-step explanation:
I NEED HELP PLEASE!!!!!!!!!!!!!!!
Answer:
$2580
Step-by-step explanation:
$1500 dollars increased by 9%. In 8 years how much money he will have.
Ok, he has 1500 bucks in there
percents are an amount out of 100 so 9%=9/100
which, 9/100 in decimal form is .09
1500*.09 which is 135
135 dollars every year added
in 8 years, he will have earned 1080 bucks due to interest
1500+1080 which is 2580 dollars
he will have 2580
Answer:
1,616.60
Step-by-step explanation:
we know that
The compound interest formula is equal to
A=P(1+\frac{r}{n})^{nt}A=P(1+
n
r
)
nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}
t=5 years
P=$1,500
r=1.5%=1.5/100=0.015
n=4
substitute in the formula above
A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+
4
0.015
)
4∗5
A=1,500(1.00375)^{20}A=1,500(1.00375)
20
A=\$1,616.60A=$1,616.60
HeLpPPpppPpPppPpppPpPPp
crisps
normal price £1.43
three for the price of two
what is the total of 6 packets
Answer:
3 packs equal the price of two, therefore 1.43•2= 2.86
and 6 packs equal the price of 4, so 2.86•2= 5.72
Write an equation in point-slope form that has a y-intercept at (0, 12) and also contains the point (1,2)
Answer:
y-2=-10(x-1).
Step-by-step explanation:
The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).
What is the slope of the proportional relationship, and how can I graph it?
Answer:
I would say 5.2 .
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
Which is in an equation of the line through (0,0) and (-8,-5)?
O A. y = 2
O B. y= -5x
O C. y = $u
D. y=-8x
Step-by-step explanation:
Since the first coordinates are both (0,0) it implies that the line passes through the origin.
The slope of the line is therefore 5/8
The equation:
y-0=5/8(x-0)
y=5/8x
simplify the expression
3( 2x - 4) -1n
pls hurry
Answer:
(3)(2x) + 3 (-4) + - 1n
6x + -12 + - n
Answer -n + 6x - 12
i NEED help pleaseee
I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?
Answer:
(f·g)(x) = x³ -8x² +20x -16
Step-by-step explanation:
The distributive property is useful for this.
(f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)
= x(x² -6x +8) -2(x² -6x +8)
= x³ -6x² +8x -2x² +12x -16
(f·g)(x) = x³ -8x² +20x -16
_____
Additional comment
I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.
write this equation in slope intercept form
(4, -3) (2, -9)
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]
[tex]y=3x+b[/tex]
[tex]-3=3(4)+b[/tex]
[tex]-3=12+b[/tex]
[tex]-15=b[/tex]
[tex]y=3x-15[/tex]
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]
