4x + 6 = 2(2x +3) is an example of what type of equation?
Answer:
Simplifying
4x + -6 = 2(2x + 3)
Reorder the terms:
-6 + 4x = 2(2x + 3)
Reorder the terms:
-6 + 4x = 2(3 + 2x)
-6 + 4x = (3 * 2 + 2x * 2)
-6 + 4x = (6 + 4x)
Add '-4x' to each side of the equation.
-6 + 4x + -4x = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-6 + 0 = 6 + 4x + -4x
-6 = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-6 = 6 + 0
-6 = 6
Solving
-6 = 6
The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee. What is the greatest value in the range for this situation?
What is the slope of the line that passes through the points (26, 7) and (-39, 12)
Answer:
It would be $390 for the 4 hours and the cleaning fees. And the slope would be -13 if you are going from 12 to 7 but would be 13 if you are going from 7 to 12...
Step-by-step explanation:
addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum distance between the runners at any given time
The maximum distance between them is the diameter of the circle, which is of 44 units.
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The diameter is twice the radius, and is the maximum distance between two points on the same circle.
They are running on a circular path, modeled by:
[tex]x^2 + y^2 - 10x - 18y = 378[/tex]
Completing the squares, the equation is:
[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]
Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.
A similar problem is given at https://brainly.com/question/25008198
Gibson's Department Store is having a clearance sale and has decreased everything in the
store by 35%. How much will Gloria pay for a pair of earrings that were originally
$15.75?
A. $13.75
C. $12.75
B. $10.24
D. $12.24
Answer:
B. :>
Step-by-step explanation:
3/6 = n/2
proportional relationships
Answer:
1.
Step-by-step explanation:
Do cross multiplying, 3 x 2 = 6
6 divided by 6 = 1
n = 1
Answer:
n = 1
Step-by-step explanation:
3/6 = n/2 Find the greatest common factor of the numerator and denominator
1:3/2:3 = n/2 Factor out and cancel the greatest common factor
1/2 = n/2 Swap sides
n/2 = 1/2
2x7=9
Can anybody help me with this??
Answer:
2 times 7 is 14
2,4,6,8,10,12,14
Step-by-step explanation:
hope this helps
Show that the two triangles ABC and DEF are congruent by the
HL theorem.
Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.
The Hypotenuse-Leg theorem states that two right triangles are congruent if and only if their hypotenuses and any of their corresponding legs are congruent. That is to say:
[tex]\overline {AC} \cong \overline {DF}[/tex], [tex]\overline{BC} \cong \overline {EF}[/tex]
[tex]AC = DF, BC = EF[/tex]
[tex]\sqrt{AB^{2}+BC^{2}} = \sqrt{DE^{2}+EF^{2}}[/tex], [tex]BC = EF[/tex]
If we know that [tex]AB = 10[/tex], [tex]BC = 4[/tex], [tex]DE = 10[/tex] and [tex]EF = 4[/tex], then we have the following outcomes:
[tex]\sqrt{10^{2}+4^{2}} = \sqrt{10^{2}+4^{2}}[/tex]
[tex]4 = 4[/tex]
Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.
We kindly invite to check this question on triangles: https://brainly.com/question/21972776
V-5v-5v+9v pls help asap
Answer:
0
Step-by-step explanation:
V-5V = -4V
-4V-5V = -9V
-9V+9V = 0
Which graph represents the solution to the inequality? 4v - 2 < 10
Answer:
Option C.
Step-by-step explanation:
First, simplify the inequality. Add 2 to both sides:
4v - 2 < 10
4v - 2 + 2 < 10 + 2
4x < 12
Divide both sides by 4:
4x ÷ 4 < 12 ÷ 4
x < 3
As 3 will not satisfy the inequality, it is not a solution. The option that shows x being less than 3 but not including is option C.
Hope this helps!
Somebody help me please
yes it's correct............
-9 divided by 7.2 help me plz
Answer:
-1.25
Step-by-step explanation:
-9/7.2 = -1.25 or -5/4
ANSWER FOR BRAINLIEST
Given A(-6, -2) & B(-5,1)
Find AB
Find the midpoint of AB
Answer:
Question 5 options: (4, 4) (1, 1) (3, 1) (10, 4)
Step-by-step explanation:
Answer:
hope it helps.....................
A college student has $240 to use for laundry money. Each time he does laundry, he spends $7.50. Which equation represents the amount of money, M, he has after he has done laundry “x” times?
A) M= 7.50x - 240
B) M= 240 - 7.50x
C) M= 7.50 - 240x
D) M= 240x - 7.50
Answer:
B
Step-by-step explanation:
x = the number of times he does laundry.
Let's say he does the laundry 5 times then x = 5.
Each time costs $7,50.
If you want to know how much money he has spent after 5 times, you have to calculate 5 times $7,50. 7,5 times 5 = 37.5.
M stands for how much money he still has left from the 240 dollars.
If you apply the formula it would be 'M = 240 - 7.50x (7.50 times 5) = 240 - 37.5 = 202.5'
Therefore, the correct answer is B (M = 240 - 7.50x).
The formula used to convert degrees Celsius to degrees Fahrenheit is
F = C +32
Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
A. C= F-32; conversion: 68°F = 180°C
B. C = (F- 32); conversion: 68°F = 122°C
C. C= 5(F- 32); conversion: 68°F = 20°C
D. CE F-32; conversion: 68°F = 20°C
O
O
Answer:
C.
Step-by-step explanation:
The formula to convert C° to F° is C = 5(F-32)
help me please !!!!!!!!!!
Answer:
The answer is 6.
Step-by-step explanation:
If you divide 2 by 2 you get one so if you divide 12 by 2 you get 6 so the value of h is 6
Answer:
h=6 feet
Step-by-step explanation:
since the smaller figure is a ratio of 1:h and the larger one is 2:12, we can assume that the scale factor (the amount we're multiplying the sides on the smaller figure by to reach the size of the larger figure) is 2. (since 2/1 =2 and 12/2 = 6) :)
Pls help! Consider graphing the linear inequality y>2x-1 on the coordinate plane. Which statement is true?
A. The graph will have a SOLID boundary line, with shading ABOVE.
B. The graph will have a SOLID boundary line, with shading BELOW.
C. The graph will have a DASHED boundary line, with shading ABOVE.
D. The graph will have a DASHED boundary line, with shading BELOW.
Step-by-step explanation:
given the linear inequality y >2x-1 on the coordinate plane.
the true statement is:
C. The graph will have a DASHED boundary line, with shading ABOVE.
for '>' meaning dashed line
Answer:
C. The graph will have a DASHED boundary line, with shading ABOVE.
Step-by-step explanation:
When graphing inequalities:
< or > : dashed line≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the lineGiven inequality:
[tex]y > 2x-1[/tex]
Therefore, the graph will have a dashed boundary line and shading above the line.
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Help plz I need it it’s hard
Answer:
the awnser is 2
Step-by-step explanation:
Select all the points of intersection between the graphs
of the functions f(x) = (x + 5)(x - 2) and
g(x) = (2x + 1)(x - 2).
Answer:
f(x)=(x+5)(x-2)
g(x)=(2x+1)(x-2).
x=10x+2
x=3x-2
x=12×+1
x=13
A function is defined as a relation between a set of inputs having one output each.
The point of intersection between the function f(x) and g(x) is x = 4.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = ( x + 5 ) ( x - 2 )
g(x) = ( 2x + 1 ) ( x - 2 )
To find the points of intersection between the two functions we must equal the function.
f(x) = g(x)
( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )
( x - 2 ) gets canceled
x + 5 = 2x + 1
5 - 1 = 2x - x
4 = x
x = 4
This means that at x =4 the function f(x) and g(x) intersect.
we can see that at x = 4 both the functions have the same value.
f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18
g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )
= 9 x 2
= 18
Thus the point of intersection between the function f(x) and g(x) is x = 4.
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When the fraction below is written as a decimal, how many digits are in the smallest
sequence of repeating digits?
5/11
OA) 0
OB) 1
OC) 2
OD) 3
Answer:
5/11 = 0.45454545......
so, option c.
I will give the brain award thing!!!!
Line segment AB is a Translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line segment AB. Are line segment AB and CD the same? What does this mean about how the line segment changes when you translate it?
Answer:
Only the position changes with translation. Other measures, including slope and length, remain the same.
Step-by-step explanation:
Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original
2972 divided by 214 what the reminder
Answer:
Remainder=190
(13 with a remainder of 190)
Step-by-step explanation:
the remainder is the amount leftover after the division. Usually it is swapped with decimals.
Which multiplication expression is equal to
Answer: A I think
Step-by-step explanation:1/3 ÷ 2/5=1/3×5/2
help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:77
Step-by-step explanation:
What is the solution to the equation? √x+3=12
3
Step-by-step explanation:[tex] \sf \sqrt{x + 3 = 12} [/tex]
[tex] \sf = \sqrt{x = 12 - 3} [/tex]
[tex] \sf = \sqrt{x = 9} [/tex]
[tex] \sf = \sqrt{9} [/tex]
[tex] \sf = \sqrt{3 \times 3} [/tex]
= 3
The solution of the linear equation [tex]\sqrt{x+3} = 12[/tex] for the variable, x is 141.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable
The solution of the equation can be calculated as:
[tex]\sqrt{x+3} = 12[/tex]
Squaring both side,
[tex]x+3 = (12)^2[/tex]
x+3 = 144
Subtract 3 from both the sides,
x = 141
The solution of the linear equation for the variable x is 141.
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Please help me because I tried to solve it but it wasn’t correct
Answer:
irdk
Step-by-step explanation:
find median :
the hight of 10 students are given ➡ 155,160,145,149,150,147,152,184,144,148.
Here let's use python to find our median.(Console attached)
Spare way:-
Let's use statistics
Here n is even[tex]\\ \sf\longmapsto Median=\dfrac{n}{2}+\dfrac{n+1}{2}[/tex]
[tex]\\ \sf\longmapsto Median=\dfrac{10}{2}+\dfrac{10+1}{2}[/tex]
[tex]\\ \sf\longmapsto Median=5th+6th/2[/tex]
Order from largest to smallest
184,160,155,152,150,149,148,147,145,144[tex]\\ \sf\longmapsto Median=\dfrac{150+149}{2}[/tex]
[tex]\\ \sf\longmapsto 149.5[/tex]
WILL MARK BRAINLIEST!
Simplify -5a + a
Answer:
-5a+a
= -4a
Step-by-step explanation:
mark me brainlist
Determine the slope of the line in the graph below.
Answer:
Step-by-step explanation:
jnj
Answer:
I'm pretty sure it's 5
Step-by-step explanation:
It's 5 if: (please confirm before you answer it--the picture is blurry and it's hard to tell).
The line appears to intersect the origin (0,0) and (2.5,12.5).
Slope is rise over run, so if you take the difference in y value and divide it by the difference in x value, you get the slope.
the function y=-x^(3)+3x^(2)+2017 covariates in the range:
Answer:
min{-x^3 + 3 x^2 + 2017} = 2017 at x = 0
what is 25= n+20 ?????will mark brainliest
Answer:
n = 5
Step-by-step explanation:
5 + 20 = 25
therefore n = 5