Answer:
[tex]2x + 6 = 4x + -2[/tex]
[tex]\Longrightarrow2x+6-6=4x-2-6[/tex]
[tex]\Longrightarrow 2x=4x-8[/tex]
[tex]\Longrightarrow 2x-4x=4x-8-4x[/tex]
[tex]\Longrightarrow -2x=-8[/tex]
[tex]\Longrightarrow \frac{-2x}{-2}=\frac{-8}{-2}[/tex]
[tex]\hookrightarrow \underline{ANSWER: x=4}[/tex]
-------------------------
hope it helps...
have a great day!!
Which Choices are equivalent to the expression below? check all that apply. 6(x+3)-5x
A. 6x+3-5x
B. x+18-5x
C. x+18
D. 6x+18-5x
Answer:
Your answer is C and D
Step-by-step explanation:
6(x+3)-5x
6 times 3 is 18.
6x+18-5x
5x is a negative so you subtract 5x from 6x.
It's x+18
So the answer would be C and D since they'll have the same outcome.
Helppp and explain thankyouuu
We have that
x - 3y = 12 and -x + y = 4
We add the 2 equations together
x - 3y + (-x + y) = 16
-> -2y = 16
-> y = -8 (1)
We plug y = -8 into -x + y =4
-> -x - 8 = 4
-> -x = 12
-> x = - 12 (2)
From (1) and (2) we could conclude that the answer is B
if 2 is added to denominator and nemerator it becomes 9/10 and 3 is substracted from nemerator and denominator it becomes 4/5 find the fraction
Answer:
9-2 /10-2
7/8
4+3/5+3
7/8
fraction is 7/8
What is the equation of the following line?
Answer:
The equation of the line is y=7x
Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]
The answer is 3 to the 3/4 power.
[tex] {2}^{x} - 3( {2}^{x + \frac{1}{2} } ) + {2}^{2} = 0[/tex]
Can someone solve this equation?
Answer:
[tex]x = log_{2}( \frac{4+12 \sqrt{12} }{17} ) [/tex]
Step-by-step explanation:
I have attached the explanation above. hopefully this help
Answer: [tex]\Large\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]
Step-by-step explanation: [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]
52.3 X 16.0 please help me thank you so much !
Answer:
836.8
Step-by-step explanation:
Area if this figure
Answer:
156
Step-by-step explanation:
area = 4*4 + 14 * 10
= 16 + 140
=156 cm²
Help i give fre robuc and v bucc and gems
Answer:
x intercept is -7 and y intercept is 2
Step-by-step explanation:
Answer:
x intercept (-7,0)
y intercept (0,2)
the amount of snowfall in jan was 2 3/4 feet. the amount of snowfall in february was 1 2/3 feet. how much snow fall was there in january? (write answer in the simplest form)
Answer this is an example 4 you
To do this problem, you need to change the way the fractions are displayed so that you can simplify them.
The first step is to change them to improper fractions: fractions like 4/3 that represent more than 100% (parts adding to more than one whole).
For example, to change the first fraction in this way, multiply the number in front (2) by the bottom number:
2 * 3 = 6
This means the 2 can also represent 6 / 3. Remember that 1 equals 3/3 so 2 equals 6/3. Now add this to the 1/3 you started with, and you end up with 7/3.
Do the same for the other fraction.
Now that you have both fractions written in this way, you can multiply each by the other's denominator to arrive at their LCD (least common denominator). It won't always be least, but you can always simplify further. In this case, the numbers are small enough that it likely won't matter.
You will end up with a fraction of halves: some number x, over 2, meaning x number of halves.
Your other fraction is 7/3. So the common denominator is the bottom numbers multiplied together: 2 * 3 = 6.
To change 7/3 to a fraction of sixths, you multiply the whole thing by two. This gets the bottom number to be six.
7 * 2 = 14
3 * 2 = 6
So this fraction can also be written as 14/6. Once again, do the same to the other fraction (but multiply by 3, to get the other fraction into sixths also, since it is currently halves).
Now you have two fractions that are both in parts of six. A ratio (x:y) is nothing more than a fraction itself. So if you had for example the ratio
2/5 : 10/5
This ratio could also be written as 1/5 : 5/5, or 1/5 to 1. Both numerators (the top number) are divisible by 2, so you can divide them both by 2 and end up with a simplified version of the same ratio.
Whatever ratio you end up with (14/6 : some other fraction), do the same thing to it. See if any of the numbers share a common factor, and simplify where possible. If it's not possible to simplify further, you're done.
which table represents a linear function graph 1. pleasee help also giving brainliest
Answer:
2 i think it is
Step-by-step explanation:
Kyle built a tree house 4 ft. by 6 ft. What was the area of the tree house?
Please help SUMMER SCHOOL
Question
(what are the slope and the y-intercept of the line shown in the graph)
Find the measure of the missing angle using the exterior angle sum theorm
Step-by-step explanation:
the sum of angels of a triangle is 180°
130+ ? + (180-160) = 180
130+ ? +20= 180
150+ ? = 180
? = 30°
the missing angle is 30°
What is the answer to 3/4 x 1/2
What is the answer to 3/4 x 1/2?
Answer : 0.375
Answer:
3/8
Step-by-step explanation:
simplify please help me
[tex] \frac{x - 4}{x + 6} - \frac{x - 6}{x + 4} [/tex]
Answer:
[tex]\frac{20}{x^2 + 10x+24}[/tex]
Step-by-step explanation:
common denominators : (x+6)(x+4)
numerators become difference of squares
[tex]x^2 -16[/tex] and [tex]x^2-36[/tex]
[tex]x^2 -16[/tex] - [tex]x^2-36[/tex] = 20
(x+6)(x+4) = [tex]{x^2 + 10x+24}[/tex]
Answer:
i hope it will help you thank u
Please help with (ii). thank you!!!
Answer:
Exact surface area = 500+20pi square cm
=============================================================
Explanation:
A = area of the bottom face = 10*12 = 120B = area of the left face = 7*12 = 84C = area of the right face = 7*12 = 84D = area of the front face = 7*10-0.5*pi*2^2 = 70 - 2piE = area of the back face = 7*10-0.5*pi*2^2 = 70 - 2piF = area of the top face = 2*3*12+0.5*2*pi*2*12 = 72+24piAll areas mentioned are in square cm, which can be abbreviated to cm^2.
Faces A,B,C are straight forward as they are simply rectangles. The remaining 3 other faces are a bit tricky.
Faces D and E involve subtracting off the area of a semicircle of radius 2 from a 7 by 10 rectangle area. The formula pi*r^2 is the area of a full circle, while 0.5*pi*r^2 is the area of a semicircle. From there, I then plugged in r = 2.
The top face is really a combination of 3 different pieces (two flat, one curved in the middle). Each flat part is of area 3*12 = 36, so that doubles to 2*3*12 when accounting for both flat parts. The curved portion will involve the lateral surface area of a cylinder formula which is
LSA = 2*pi*r*h
but since we're only dealing with half the lateral area, we multiply that by 0.5 to get 0.5*2*pi*r*h. From there, I plugged in r = 2 and h = 12.
-----------------------
In summary we have these six areas for the faces
bottom = 120left = 84right = 84front = 70 - 2piback = 70 - 2pitop = 72 + 24piAdd up those sub areas to get the full surface area of this particular 3D solid.
120+84+84+(70-2pi)+(70-2pi)+(72+24pi)
(120+84+84+70+70+72)+(-2pi-2pi+24pi)
500+20pi
This is the exact surface area in terms of pi. If you want the approximate version of this, then you could replace pi with 3.14 and compute to get 562.8 cm^2
Use more decimal digits in pi to get a more accurate value. If you use your calculators version of pi, then you should get somewhere around 562.831853 cm^2
In this case, I think it's better to stick with the exact surface area (unless your teacher instructs otherwise).
3 of item A, 7 of item B and 1 of item C in a toy collection cost $31.50. 4 of item A, 10 item B and 1 C in the same collection cost $42. Find the price of item A+B+C.
bAnswer: the answers is most likely a because of the nomination
Step-by-step explanation:
Expand the following using the Binomial Theorem and Pascal’s triangle (2x − 3y)^4
Answer:
Step-by-step explanation:
Binomial Expansion:
[tex](2x-3y)^4 \\\\= 4C_0(2x)^4 (-3y)^0 + 4C_1(2x)^3 (-3y)^1 + 4C_2(2x)^2(-3y)^2 \\\\+ 4C_3(2x)^1 (-3y)^3 + 4C_4(2x)^0 (-3y)^4\\\\=16x^4 + 4(8x^3)(-3y) + 6(4x^2)(9y^2) + 4(2x)(-27y^3) + 81y^4\\\\=16x^4 - 96x^3y + 216x^2y^2-216xy^3 +81y^4[/tex]
Pascal's Triangle:
Zero row 1
First row 1 1
Second row 1 2 1
Third row 1 3 3 1
Fourth row 1 4 6 4 1
What is the measure of angle ABC of a circle
Answer:
the angle <ABC is equal to 65°
I have a lot of algebra problems. Someone help me even with this one please!
Answer: Choice D
The graph will be discrete because there is no such thing as a partial person to sign up, and the booth is set up once each day for sign ups.
=========================================================
Explanation:
Let's start with the independent variable d. This acts as the variable x. It's the input. The value of d only takes on positive whole numbers (eg: d = 1, d = 2, d = 3, etc). We cannot have something like d = 2.718
So this bit of evidence shows that our function is discrete. Discrete input values (d) plug into the function to produce corresponding discrete output values (m).
Furthermore, we know that m is discrete because the number of people cannot be a fractional or decimal number. We can't have half a person for instance.
---------------
A quick way to see if a set is discrete or continuous is to ask the question: "is it possible to apply the midpoint formula for ANY two values, and have the output make sense?"
So a set like {1,2,3,4,5,...} is discrete because the midpoint of 2 and 3 is 2.5, but that value is not in the set mentioned.
In other words, discrete sets have "gaps" so to speak, while continuous ones do not.
---------------
Another useful property is that let's say that a < x < b, and x is drawn from the domain set. This reduced set will be finite if we're dealing with discrete data. Eg: The set {1,2,3,4,5,...} has the subset {2,3,4} which is finite and discrete.
In contrast, the subset of real numbers x such that [tex]2 \le x \le 4[/tex] is continuous and this subset is infinitely large (has infinitely many members) because we could have things like 2.718 or 3.14 etc
Qué medida de tendencia central (llamada a menudo promedio) es la más sensible a valores extremos?
Respuesta:
Significar
Explicación paso a paso:
Las medidas del centro incluyen la media, la mediana y la moda. La media se obtiene tomando la suma de los valores dividida por el número de valores individuales (frecuencia). La mediana es el percentil 50 de la distribución y la moda es el valor que ocurre con mayor frecuencia si se trata de una distribución. De todas las medidas, la media es la más afectada por la presencia.
Dados los datos:
2,4, 5, 2, 3, 3, 3, 5
La media = Σx / N = 2.3
Modo = 3
Mediana = 2, 2, 3, 3, 3, 4, 5, 5 = 1/2 * nth = 1/2 * 8 = 4to término = 3
Si se agrega un valor extremo: digamos 80
2, 2, 3, 3, 3, 4, 5, 5, 2, 80
Nueva media = Σx / N = 11,88
Mediana = 1/2 (n + 1) th término
Mediana = 1/2 (10) término = 3
Modo = 3
Podemos ver que la inclusión de 80, que es un valor extremo, cambia significativamente el valor medio.
10. The product of two numbers is -30. The sum of the two numbers is 13. Find
the two numbers.
Answer:
1) 2 × (-15) = -30
It could be 1+12 2+11 3+10 4+9 5+8 6+7 any of those
Mrs. Khan purchased 6 sets of dress material costing Rs.1235 each and 5 shirts of Rs.1635 each. How much does she spend for dress materials?
Answer:
Rs. 6175
Step-by-step explanation:
Number of dress materials purchased = 6
Cost of each dress material = Rs.1235
Number of shirts purchased = 5
Cost of each shirt = Rs.1635
How much does she spend for dress materials?
Total cost of dress material = Number of dress materials purchased × Cost of each dress material
= 5 × Rs.1235
= Rs. 6175
Total cost of dress material = Rs. 6175
I need help with my math!!!!!!!
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Area of a square = [tex]s^{2}[/tex] (s is a side length)
24 = [tex]s^{2}[/tex]
[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]
[tex]\sqrt{24}[/tex] = s
[tex]\sqrt{(4)(6) }[/tex] = s
2[tex]\sqrt{6}[/tex] = s
If the length of a is 6, the length of b is 4, and the length of c is 7, what is the measure of angle B
Answer:
B = 34.77°
Step-by-step explanation:
For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:
[tex]b^{2} =a^{2} +c^{2} -2ac Cos(B)[/tex]
This can be rearranged to find the angle B:
[tex]b^{2} -a^{2} -c^{2} /-2ac = Cos(B)[/tex]
With lowercase letters being sides and uppercase being angles.
We simply plug in the sides and solve:
[tex]4^{2} -6^{2} -7^{2}/-2*6*7= Cos(B)[/tex]
0.8214 = Cos (B)
Then you use inverse cosine to get angle B alone.
B = 34.77°
Express 85mm as a percentage of 1metre
Answer:
Step-by-step explanation:
85/1000 because we said that 1 meter = 1000 mililiters
Divide both sides by 5 and then you have 17/200
then divide both sides by 2 (to get it over 100) =
8.5/100
.085%
Hope that helps!!
You could also just do 85/1000 you would get the same answer!!
Please help me here. I've tried this one over and over and I'm unable to get the answer that was given. How do I find the area of this triangle?
Answer:
jjdjdjdj and technology and technology and technology and technology and technology
Solve for x. Round to the nearest tenth, if necessary.
what is yhe measure of side IJ?
Answer:
Side IJ would be 15
Step-by-step explanation:
Since Triangle HIJ is dilated by a scale factor of 5, that means Triangle H'I'J' would have side measurements that are 5 times as much as Triangle HIJ.
They give you that side I'J' is 75
so you divide 75 by 5 and you'll end up with 15