Answer:
No solution
Step-by-step explanation:
1.Simplify
3(x+5)-3 = 2(3x+1) -3x
3x+15-3=6x+2-3x
2.Simplify
3x+12=3x+2
3. Combine like terms
3x-3x+12-2=3x-3x+-2
10 does not equal 0
No solution
Answer:
[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]
Expand: Apply distributive property:
[tex]\sf 3(x+5)-3[/tex]
[tex]\sf 3x+15-3[/tex] [tex]\sf 3x+12[/tex][tex]\sf 2(3x+1)[/tex]
[tex]\sf 3x+2[/tex][tex]\sf 3x+12=3x+2[/tex]
Subtract 12 from both sides:
[tex]\sf 3x+12-12=3x+2-12[/tex]
[tex]\sf 3x=3x-10[/tex]
Subtract 3x from both sides:
[tex]\sf 3x-3x=3x-10-3x[/tex]
[tex]\sf 0=-10[/tex]
Sides are not equal, so therefore there is no Solution.
___________________________________________
Is the first number divisible by the second? Explain.
45 by 5
Answer:
Yes
Step-by-step explanation:
45 is divisible by 5 because 45 divided by 5 is 9
¯\_(ツ)_/¯
resolve into partial fraction. (5x+2)/3x²+4x-4
Answer:
[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]
Step-by-step explanation:
Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.
[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]
We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]
Now it's all a matter of writing down what we need:
[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]
Here comes the fun part. Two ways: the fast and loose, and the long one.
Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]
At this point we have B, let's pick a different value of x, let's say 1, to get A:
[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]
More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]
[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]
Again, [tex]A=2, B=1[/tex] is a solution.
Either way, the solution is:
[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]
Solve the given equation for x.
2x-B=10
I WILL GIVE BRAINLIEST
Answer:
3. 7
4. 22
Step-by-step explanation:
What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!
17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!
I hope that this helps!
Answer:
x = 7 and x = [tex]\frac{21}{8}[/tex]
Step-by-step explanation:
(3)
[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )
x + 3 = 10 ( subtract 3 from both sides )
x = 7
-----------------------------------------------------------
(4)
17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify
17 + 10x - 45 = - 6x + 14
10x - 28 = - 6x + 14 ( add 6x to both sides )
16x - 28 = 14 ( add 28 to both sides )
16x = 42 ( divide both sides by 16 )
x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]
3x−7= Can you Guys help
Answer:
not sure
Step-by-step explanation:
Answer:
x= 7
3
Step-by-step explanation:
find x by making the subject of formula
3x=7x = 7 3Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?
Answer:
$126 is correct
Step-by-step explanation:
Answer:
$126/month
Step-by-step explanation:
Divide the total cost ($756) by 6 (months). We get $126/month. Six months' payment (6 times $126) will produce a total savings of $756.
what is 67.18 - 82 equal
Answer:
i wish i could tell you but i suggest that you use a calculator to find your answer.
Step-by-step explanation:
i really hope this helps you!
Answer:
-14.82
Step-by-step explanation:
Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2
Answer:
2^2 + i^2 or 4 + i^2 (depending if the teacher wants it simplified or not)
Step-by-step explanation:
(2+i)^2
Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.
Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.
Answer:
£30000
Step-by-step explanation:
I used a couculator
help please i only have 20 mins left
4748
Step-by-step explanation:
I need help with this
2.67 is best classified as a ______________ number.
Fill the blank
Y
Answer:
rational
Hope this helps!
lmk if it does
help me plz hey the answer questions
Answer:
The area of the triangle is 30The triangle is a scalene triangleStep-by-step explanation:
To solve the first question write an equation of
[tex]a=\frac{1}{2} (12)(5)[/tex]
[tex]a=\frac{1}{2} 60[/tex]
[tex]a=30[/tex]
To find the answer to the second question we need to know how to classify the different triangles
Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)
Isosceles Triangle- 2 equal sides and 2 equal angles
Scalene Triangle- No equal sides and no equal angles
So this triangle has no equal sides or angles meaning that it is a scalene triangle
Answer: The area of the triangle is 30
The triangle is a scalene triangle
Step-by-step explanation:
BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment
Answer:
13. PS ≈ 28.30
14. ∠CDB ≈ 68.74°
Step-by-step explanation:
13 =========================
We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)
[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]
or x ≈ 20.74
Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.
[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]
or y ≈ 28.30
PS ≈ 28.30
14 ======================
Start from ∠A and use tan.
[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]
x ≈ 19.30
Then from ∠CDB, we'll use inverse cos.
[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]
y ≈ 68.74°
∠CDB ≈ 68.74°
=======================
I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.
i need help...Which table represents a function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negative 2, 8. The second column is labeled y with entries negative 1, 0, negative 1, 1.
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 0, negative 5, 6. The second column is labeled y with entries negative 5, 0, 5, negative 6.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 2, negative 2, 0. The second column is labeled y with entries 8, 2, 4, 2.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, 3, 1, negative 4. The second column is labeled y with entries 2, 5, 3, 0.
Explanation:
A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.
Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.
I don’t know what the answer is
PLZ!!! HELP!!!!!
What is the slope
Answer:
zero slope
Step-by-step explanation:
horizontal lines are zero slope because they are not slanted (slope)
this is a horizontal line.
A limousine cost 75,000 new but deprecates at rate of 23% per year what is the value of the limousine after five years
Answer:
$20,300.88
Step-by-step explanation:
First Year : 75,000x(1-23%)
Second Year: 75,000x(1-23%)x(1-23%)
=75,000x(1-23%)^2
Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)
=75,000x(1-23%)^3
x Year : 75,000x(1-23%)^x (Analogical Reasoning)
Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5
23%=0.23 1-23%=1-0.23=0.77
Therefore Fifth Year: 75000x(0.77)^5=$20300.88
if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?
explain
Answer: $4.29?
Step-by-step explanation:
3 pack /3 = $12.88 /3
1 pack = 4 22/75 or approx $4.29
plz .can any one help me.how we calculate this solution : 2 power2 + 6
Answer:
2² = 2*2
(2*2) + 6 = 4+6 = 10
what is 12 times the exponent of 7 squared
Answer:
13841287201
Step-by-step explanation
7×7×7×7×7×7×7×7×7×7×7×7=13841287201
Answer:
7
×
7
×
7
×
7
×
7
=
7
5
Step-by-step explanation:
Select the correct answer. The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0. 5, what is the perimeter of the resulting triangle? A. 30 units B. 20 units C. 15 units D. 7. 5 units.
Answer:
.
Step-by-step explanation:
If 11 - 3x = x, then 20x=
Answer:
20x = 55
Step-by-step explanation:
First you have to add 3x to both sides of 11-3x=x
[tex]11-3x=x\\+3x=+3x\\11=4x[/tex]
Now that you have 11 = 4x you divide 4 on both sides [tex]\frac{11}{4} =\frac{4x}{4}[/tex]
11/4 = x
But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75
so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x however both will equal the number 55
[tex]20(\frac{11}{4})=55\\20(2.75)=55[/tex]
Which of the following is equivalent to 16 3/2
Answer:
b is the answer because I don't know what to do with it and
Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.
Answer:
w + 4 ≥ -23
Step-by-step explanation:
"a number w": w
"increased by 4": + 4
"is greater than or equal to": ≥
"-23": -23
Put the parts of the equation together:
w + 4 ≥ -23
~
Answer: (x + 4) ≥ -23
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
this is my attachment answer hope it's helpful to you
What is the measure of
Answer:
∠ ABC = 108°
Step-by-step explanation:
The 2 given angles are vertically opposite and are congruent , that is
4x + 8 = 3x + 33 ( subtract 3x from both sides )
x + 8 = 33 ( subtract 8 from both sides )
x = 25
Then
∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°
How do you do 10 th grade math
[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly
What is f(-1)?
PLEASE HELP ASAP
Answer:
3
Step-by-step explanation:
y=3, you can see it when you start from ×=-1 and then follow the line in the graph
Answer:
f(-1) = 3
Step-by-step explanation:
You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.
Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.