Answer:
x = -3
Step-by-step explanation:
5 + 3(x - 1) = 3x + 14 - (x +15)
5 + ( 3x - 3 ) = 3x + 14 - x -15
3x + 2 = 2x - 1
x + 3 = 0
x = -3
Answer:
x = -3
Step-by-step explanation:
To find the solution to the equation, we would have to find a value of x that would satisfy the equation.
5 + 3(x - 1) = 3x + 14 - (x + 15)
Distribute the 3 on the left side and the - on the right side.
5 + 3x - 3 = 3x + 14 - x - 15
Combine like terms.
2 + 3x = 2x - 1
Subtract 2 from both sides.
3x = 2x - 3
Subtract 2x from both sides.
x = -3
So the solution to the equation would be x = -3.
I hope you find my answer and explanation to be helpful. Happy studying.
a sequence of transformations maps angleABC to A'B'C'. the sequence of transformations that maps ABC to A'B'C' is a reflection across the ____ followed by a transformation ____
first drop down
y-axis
x-axis
line y=x
line y=-x
second drop down
4 units to the right and 10 units up
8 units to the right and 4 units up
10 units to the right and 2 units up
10 units to the right and 4 units up
Stacy and Neil painted 280 square feet of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint?
Answer:
280 square feet can be painted with .8 gallons and (280 / .8) or 350 square feet can be painted with 1 gallon and with 3 gallons you could paint 1,050 square feet.
Step-by-step explanation:
Kyle Charges $75 plus $65 per hour for tractor work. How many hours does he work to earn at least $335?
Answer:
Hi there!
Your answer is
Kyle must work at LEAST 4 hours to earn 335$
Step-by-step explanation:
kyles charge:
75+65H>=335
-75
65H>=260
/65
H>=4
Plug back in!
75+65(4) >= 335?
335>=335 YES!
Hope this helps
find the measure of the missing angle
a=
- 4u + 7 = - 10u + 37
Solve for u
Answer:
5
Step-by-step explanation:
Write an equation for the parabola that passes through (-2, 7) , (1, 10) , and (2, 27) .
Answer:y=4x^2+5x+1
Step-by-step explanation:
Just did the quiz on big ideas math
The equation of the parabola which passes through the points (-2, 7) , (1, 10) , and (2, 27) is y = (25/6)x² -(17/6)b + (1/3)c.
What is a parabola?A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
We know equation of a parabola is y = ax² + bx + c.
Given are three points (-2, 7) , (1, 10) , and (2, 27).
If these points lie on the parabola it must verify that [tex]y_o = ax^2_o + bx_o + c.[/tex]
Therefore,
7 = a(-2)² + b(-2) + c = 0
7 = 4a - 2b + c ...(i)
10 = a(1)² + b(1) + c = 0
10 = a + b + c ...(ii)
27 = a(2)² + b(2) + c
27 = 4a + 2b + c...(iii)
Now adding eqn(i) and eqn(ii) we get 8a + 2c = 34...(iv)
Now multiplying eq(ii) by 2 and adding it to eq(i) we get 6a + 3c = 27...(v).
Now multiplying eqn(iv) by 3 and (v) by 2 and subtracting them we get a = 25/6.
Putting the value of an in eqn(iv) we get c = 1/3.
Similarly substituting the value of a and c in eqn(ii) we get b = -17/6.
∴ The equation of the parabola is y = (25/6)x² -(17/6)b + (1/3)c.
learn more about parabola here :
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A map scale reads: 2 inches = 25 miles. Which distance does 6 inches represent? 200 miles 75 miles 150 miles 100 miles Bene
Answer:
75 miles
Step-by-step explanation:
2x3=6
so you multiply 25x3 which will give you 75
Tony and Ralph both work for a construction company. Tony gets paid $30 plus 8 per hour (h). How much will the company have to pay if they both work 5 hours that day
Answer:
ur quedo is kind of confusing
Sally, Sue and Joe were measured in gym class. Sally was 65 3/4 inches. Sue was 65 7/8 inches. Joe was 65 1/2 inches. Who was the tallest?
Answer:
Sue was the tallest.
Step-by-step explanation:
Sally = 65 3/4 --> 65 6/8
Sue = 65 7/8Joe = 65 1/2 --> 65 4/8
can you guy help me with
Answer:
no
Step-by-step explanation:
Help me please ..........
Answer:
The answer is that angle T is 41 degrees.
Step-by-step explanation:
Line USP is a 180 angle. Knowing this, you can subtract 104 from 180.
You get 76. Then, you add 76 to 63.
The sum is 139. Then, to find the answer, you subtract 139 from 180. You know to use 180 because EVERY TRIANGLE'S ANGLES always add up to 180.
180 minus 139 is 41. This is your answer: Angle T is 41 degrees in measure.
A grocery store owner is planning a display by stacking cans of soup in a pyramid. The top row of the stack will have 1 can, the row underneath it will have 3 cans, the row underneath it will have 5 cans, and so on. If the owner wants the display to have a total of 12 rows, then how many cans will he need? Show your work. Explain how you know your answer is correct.
Answer:
144 cans
Step-by-step explanation:
Number of cans in the top row = 1
Number of cans in the second row = 3
Number of cans in the third row = 5
Here, the sequence obtained is [tex]1,3,5,...[/tex]
This forms an arithmetic progression with common difference as [tex]3-1=5-3=2[/tex]
Let d denotes the common difference and n denotes number of terms.
[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]
Here, [tex]S_n[/tex] denotes sum of n terms.
Put [tex]a=1,d=2,n=12[/tex]
[tex]S_{12}=\frac{12}{2}[2(1)+(12-1)2]\\=6[2+(11)2]\\=6(2+22)\\=6(24)\\=144[/tex]
Find the distance between
4 + 3i
and
6 – 2i
Answer:
The distance is 5i
Step-by-step explanation:
Subtract the six and the four then find the distance between the numbers paired with the variables.
I need Urgent Help!! Can you please show me how you solve this step by step? 4-7x>-5(4+x)
Answer:
The answer of this inequality is: x < 12
Step-by-step explanation:
1) First, place out what is given:
[tex]4 - 7x>-5(4+x)[/tex]
2) Distribute -5 to (4 + x)
[tex]4 - 7x > -20-5x[/tex]
3) We want to get x by itself, so we need to move each term to their own side(s):
4 - 7x > - 20 - 5x
+20 + 7x > +20 +7x
---------------------------
24 > 2x
5) Divide both sides by 2
[tex]\frac{24}{2} > \frac{2x}{2}[/tex]
6) Now that you have x alone, your answer is:
[tex]x < 12[/tex]
(I changed the position of x which is why the sign turned around)
In solving an equation, if you eliminate the variable and obtain a true statement such as 6 = 6, the equation is a/an
equation.
Answer:
butt
Step-by-step explanation:
hahahaha hahahaha
Which list correctly orders A, B, and C from least to greatest when A= -8, B = 1-8), and C = 111?
A, B, C
C,AB
B, A, C
CBA
Answer:
A, B, C
Hope this helps
Find an equivalent system of equations for the following system:
x + 2y = 2
−4x + 4y = −8
a) x + 2y = 2
−4x − 2y = 10
b) x + 2y = 2
5x + 4y = 8
c) x + 2y = 2
5x − 2y = 10
d) x + 2y = 2
5x − 2y = −8
Answer:
Option C
Step-by-step explanation:
we have
x+2y=2 ------> equation A
-4x+4y=-8 ------> equation B
Multiply equation B by -1 both sides
-1(-4x+4y)=-8*(-1)
4x-4y=8 -----> equation C
Adds equation A and equation C
x+2y=2
4x-4y=8
--------------
5x-2y=10 ----> equation D
An equivalent system of equations is equation A and equation D
so
x+2y=2 ------> equation A
5x-2y=10 ----> equation D
Answer:
C
Step-by-step explanation:
i took the test
5.6+ 2.2x> 65.6- 1.8x show you work
Answer:
No
Step-by-step explanation:
cuz i dont feel like it thx for pts
The solution to the inequality 5.6 + 2.2x > 65.6 - 1.8x is x > 15.
What is the solution to the inequality?Given the inequality in the question:
5.6 + 2.2x > 65.6 - 1.8x
To solve the inequality 5.6 + 2.2x > 65.6 - 1.8, first, collect and combine the like terms on both sides of the inequality:
5.6 + 2.2x > 65.6 - 1.8x
Add 1.8x to both sides:
5.6 + 2.2x + 1.8x > 65.6 - 1.8x + 1.8x
5.6 + 2.2x + 1.8x > 65.6
5.6 + 4x > 65.6
Subtract 5.6 from both sides of the inequality:
5.6 - 5.6 + 4x > 65.6 - 5.6
4x > 60
Divide both sides by 4 to isolate the variable x:
x > 60/4
x > 15
Therefore, x is greater than 15.
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What is the value of the slope of a line that passes through points (2,5) and (4,2)
Answer:
-3/2
Step-by-step explanation:
Using the slope formula leaves you with this
Answer:
-3/2
Step-by-step explanation:
We can find the slope of the line using
m = ( y2-y1)/(x2-x1)
= ( 2-5)/(4-2)
= -3/2
Can you please tell me the answer
Answer:D 45
Step-by-step explanation:I haven't done this in a long time but from my knowledge it is 45 because the triangle has to add up to 180 and you do 45+45 which will get you 90 leaving you with 2x and x would 45 as well and you would do 2 x 45= 90 and that is how you solve 2x.
But the answer to the question is 45 or D
please help ! asapppppppp
Answer:
4/243, 4/729
Step-by-step explanation:
The pattern shows that it is multiplied by 1/3
Select True or False for each statement about equilateral triangles.
A. An equilateral triangle has 3 equal angle measures.
A True B False
B. An equilateral triangle has 3 equal side measures.
A True B False
C. An equilateral triangle has 3 lines of symmetry.
A True B False
Answer:
A. true
B True
C True
hope this helps
Find the least number which must be added to 1272 to make it a perfect
square. Also find its square root.
Step-by-step explanation:
Adding 24 to 1272?
becomes 1296
36^2 = 1296
its square root's 36.
hope its correct^^
Question 10 multiple choice
Answer: Choice B
(x-1)(x^3+x^2+5x+6)
==========================================
Explanation:
The 1 in the upper left box means that x = 1 is a root of the original polynomial.
So this means x-1 is a factor of the original polynomial.
This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.
-----------------
The 0 in the last position of the bottom row shows we got a remainder of 0.
Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.
The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6
-------------------
So we know that (x-1) and (x^3+x^2+5x+6) are factors
Meaning that,
x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)
You can confirm this by expanding out the right hand side (distribution rule).
BROO PLZZ TRY TO ANSWER FAST
Answer:
1/9(x+4)
Step-by-step explanation:
Same as the first one
What are the x and y intercepts for 3x-6y=-48
Answer:
x- intercept = - 16, y- intercept = 8
Step-by-step explanation:
Given
3x - 6y = - 48
To find the x- intercept, let y = 0 in the equation and solve for x
3x - 6(0) = - 48 , that is
3x - 0 = - 48 ( divide both sides by 3 )
x = - 16 ← x- intercept or (- 16, 0 )
To find the y- intercept, let x = 0 in the equation and solve for y
3(0) - 6y = - 48 , that is
0 - 6y = - 48 ( divide both sides by - 6 )
y = 8 ← y- intercept or (0, 8 )
What is the midpoint of -5.8 and -3.5 on a number line??!
Answer:
-4.65
Step-by-step explanation:
5.8-3.5=2.3
2.3 divided by 2=1.15
3.5+1.15=4.65
Answer: -4.65
Kim drove from Mathtown at (-2, 5) to Geometryville at (3, -1) to Algebra Springs at (-6, -5), and then back to Mathtown. Find the total distance Kim traveled to the nearest hundredth.
Answer:
Option (3)
Step-by-step explanation:
To solve this question we will use the formula,
Distance (d) between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between Mathtown (-2, 5) to Geometryville (3, -1)
[tex]d_1=\sqrt{(3+2)^2+(-1-5)^2}[/tex]
[tex]=\sqrt{25+36}[/tex]
[tex]=\sqrt{61}[/tex]
[tex]=7.81[/tex]
Distance between Geometryville (3, -1) and Algebra Springs (-6, -5)
[tex]d_2=\sqrt{(3+6)^2+(-1+5)^2}[/tex]
[tex]=\sqrt{81+16}[/tex]
[tex]=\sqrt{97}[/tex]
[tex]=9.85[/tex]
Distance between Algebra Springs (-6, -5) and Mathtown (-2, 5)
[tex]d_3=\sqrt{(6-2)^2+(5+5)^2}[/tex]
[tex]=\sqrt{16+100}[/tex]
[tex]=\sqrt{116}[/tex]
[tex]=10.77[/tex]
Now total distance traveled by Kim = [tex]d_1+d_2+d_3[/tex]
= 7.81 + 9.85 + 10.77
= 28.43
Therefore, Option (3) will be the answer.
What is 941 divided by 24
two thirds x one fourth .
Answer:
One sixth (1/6)
Step-by-step explanation: