Answer:
x = 3
Step-by-step explanation:
(3 • (5x - 15)) - 15 • (x - 3) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
5x - 15 = 5 • (x - 3)
Equation at the end of step
3
:
15 • (x - 3) - 15 • (x - 3) = 0
STEP
4
:
Pulling out like terms
4.1 Pull out 15
Pulling out like terms :
4.2 Pull out x-3
After pulling out, we are left with :
15 • x-3 • ( 1 * 1 +( (-1) * (-1) ))
Equation at the end of step
4
:
30 • (x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 30 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
One solution was found :
x = 3
The required value of a for which the solution of the inequality is all real numbers is a > 4.
What is inequality?
A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
a(x + 3) < 5x + 15 - x
or, a(x + 3) < 4x + 15
Now let us solve for x first,
⇒ ax + 3a < 4x + 15
Subtract 3a from both sides we get,
ax < 4x + 15 - 3a
Subtract 4x from both sides we get,
ax - 4x < 15 - 3a
or, (a - 4)x < 15 - 3a
Dividing both the side by (a - 4) we get,
x < (15 - 3a) / (a - 4)
Now for solutions to be real numbers,
a - 4 > 0
subtracting 4 both the side we get,
⇒ a > 4
this is the required value of a for which the solution of the inequality is all real numbers
Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.
To learn more about inequality :
https://brainly.com/question/13363104
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Solve the equation 1/2(16x-6)=2
Answer:
x=5/8
Step-by-step explanation:
(-90) + (-20) + 100 =
A-210
B) 10
C) -10
D) 210
Answer:
C.
Step-by-step explanation:
(-90) + (-20) + 100 = -10
Hope I Helped! :)
Answer:
The solution is C. -10
Step-by-step explanation:
Before entering the solution, remember the formula first!
Addition
• (-) + (-) = (-)
• (+) + (+) = (+)
Subtraction
• (+) - (+) = can (-) and (+)
• (+) - (-) = (+)
Multiplication
• (-) x (-) = (+)
• (+) x (-) = (-)
Division
• (-) : (-) = (+)
• (+) : (-) = (-)
Solution:
(-90) + (-20) + 100
= -90 - 20 + 100
= -110 + 100
= -10 (the minus number is greater than the positive, then the result is minus)
Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of 1.5% of the dollar amount of all sales that he makes. Write an equation for P, in terms of x, representing Cooper's total pay on a day on which he sells x dollars worth of computers.
Answer: p= 1.25x + 70
After sweeping the Baltimore Orioles at home in 2001, the Seattle Mariners had a record of 103 wins out of 143 games played. Find the Mariners’ winning rate. Write your answer as a decimal rounded to the nearest thousandth.
Item 6 Your city is represented in a coordinate plane where each unit represents 1 kilometer. The library is at (−3, −3), the post office is at (2, 2), and your house is at (−5, 2). You ride your bike from your house to the library, then the post office, and then back home. What is the minimum distance that you can ride your bike? Round your answer to the nearest tenth. km
We know, shortest distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So, distance between house and library is :
[tex]d_1=\sqrt{(-5-(-3))^2+(2-(-3))^2}\\\\d_1=5.39\ km[/tex]
Distance between library and post office :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D=\sqrt{(-3-2)^2+(-3-2)^2}\\\\D=7.07\ km[/tex]
Distance between post office and house :
[tex]D=\sqrt{(2-(-5)^2)+(2-2)^2}\\\\D=7\ km[/tex]
Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46 km.
Hence, this is the required solution.
1What is 1/7 of 21 ?
The Answer is 3
All you need to do is multiply 7 and 1 then divide.
brainliest for correct answer write 3.5 x10^-7 in standard form
Answer:
0.00000035x
Step-by-step explanation:
PLZ HELP !!!!!!
28x+36y=2520 Write this in slope intercept form or graph!!
Answer:
y= -7/9 x+70
Step-by-step explanation:
28x+36y=2520
36y=-28x+2520
y= -7/9 x+70
Please help!! I need a correct answer because it’s a test and I need a good grade. Thank you!
Answer:
Minimum = 55 F
Maximum = 71 F
Step-by-step explanation:
The temperature is changing by 8 degrees either up or down.
Because you don't know which way it is changing, you add and subtract to find the maximum and minimum, respectively.
63 + 8 = 71. Add for maximum.
63 - 8 = 55. Subtract for minimum.
63 min. 8 max. ?
answer
eternal horizons or doom crossing
Answer:
RIP AND TEAR NEW HORIZON
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Find the measure of each angle indicated.
940
94
58
77
127
What are the points for y=-3x+4 and how do I graph it
Answer:
(-3,13) (-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,5) (4,8) are your graph points.
Step-by-step explanation:
Okay so to find the points, you have to create a table graph with a set of x values.
in this case, your equation y=-3x+4 the x can be replace with a set of numbers and these will be your plots.
-3(-3)+4= 13
-3(-2)+4= 10
-3(-1)+4= 7
-3(0)+4= 4
-3(1)+4= 1
-3(2)+4= -2
-3(3)+4= -5
-3(4)+4= -8
Naturally with these points a shape will form ideally a straight line. Hopefully this helps and good luck!
Please help me estimate the answer of 7987 divided by 39
204.79
Step-by-step explanation:
Y=-x+4
Y=3x (substitution)
Answer:
x=1
Step-by-step explanation:
-x+4=3x
4=4x
x=1
please help me out
Answer:
137.5
Step-by-step explanation:
330/12=27.5 miles per gallon of gasoline so 5 times 27.5 you get 137.5 miles.
how many time does 2/3 go into 28/3
Answer:
14 i think
Step-by-step explanation:
Answer:
2/3 goes into 28/3 14 times.
Step-by-step explanation:
Multiply 2 by 14, and you will get 28. That shows you that 2/3 goes into 28/3 14 times.
If a triangle is
rotated 135 degrees
counterclockwise, is
that positive or
negative rotation?
hellllppppp me please
9514 1404 393
Answer:
positive infinitynegative infinityStep-by-step explanation:
The function has a positive leading coefficient (1/3) and is of odd degree (3). These conditions mean the sign of the end behavior of the function will match the sign of x.
x → ∞, m(x) → ∞
x → -∞, m(x) → -∞
An Apple Pie Was Cut Into 6 Pieces Of Equal Size Jake And Paula Each Ate 1 Piece Apple Pie How Much Apple Pie Was Left?
Answer:
4 slices because 6-2=4
Step-by-step explanation:
pls make me brainliest
What is the image of (4, 3) after a dilation by a scale factor of 2 centered at the origin?
31⁄32 ÷ 31⁄32 = _____. (select all that apply) *
a. 1
b. 31⁄32
c. 32⁄31
d. 992⁄992
Answer: It is A 1
Hope it helped
Step-by-step explanation:
A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend.
answers are:
A. $1.45 + $0.55x ≥ $35; x ≥ 61 miles
B. $1.45 + $0.55x ≤ $35; x ≤ 61 miles
C. $0.55 + $1.45x ≥ $35; x ≥ 23 miles
D. $0.55 + $1.45x ≤ $35; x ≤ 23 miles
9514 1404 393
Answer:
B. $1.45 + $0.55x ≤ $35; x ≤ 61 miles
Step-by-step explanation:
The mileage charge for x miles will be $0.55x, so the total charge will be $1.45+$0.55x. This must be less than or equal to $35 for Ariel to be able to pay for her travel. The appropriate inequality is ...
$1.45 +$0.55x ≤ $35 . . . . . matches choice B
__
Comment on selecting an answer
From a "reasonableness" point of view, any answer choice with "≥ $35" can be eliminated immediately. Further, any answer choice with $1.45x can be eliminated, since the mileage charge is not $1.45, it is $0.55. The leaves only the choice shown above.
I need help with geometry
9514 1404 393
Answer:
translate <-6, 0>, reflect over x
Step-by-step explanation:
Point D is at the top in the pre-image and at the bottom in the image, so a vertical reflection is indicated. Only the 1st and 3rd choices show a reflection over the x-axis.
The image is to the left of the pre-image by 6 units, so the translation is in the negative direction. Only the 3rd choice has that.
26 - x = 17
What does x equal?
Answer: x = 9
We know that 26 and 17 are in a fact family.
Let's see the fact family.
26 - 17 = 9.
So, the answer is 9.
Hope this helps you!
Answer:
x = 9
Step-by-step explanation:
-x = 17 - 26 Take the numbers to one side and leave the letters on the other side
-x = -9 Subtract the numbers
x = 9 since the x and the 9 are negative they become positive
(two negatives equals a positive only when multiplying or
dividing and in this case you are dividing the -1x to both
sides)
A family dinner check was $38.82. Estimate a 15% tip
Answer:
$5.82
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
5x2 + 20x + 15
O A. X-1
O B. X-5
O C. X+5
O D. x+1
The factor x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15
How to determine the factor of the expression?The expression is given as:
5x^2 + 20x + 15
Factor out 5 from the expression
5(x^2 + 4x + 3)
Expand
5(x^2 + x + 3x + 3)
Factorize the expression
5(x(x + 1) + 3(x + 1))
Factor out x + 1
5(x + 3)(x + 1)
The factors of the above expressions are 5, x + 3 and x + 1
Hence, x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15
Read more about binomial expressions at:
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what is the answer! i need it nowww !
2+2(6x-3)=10x+ negative4
Solve for c. abc + d = f
Which of the following statements does not represent the same value as the others?
the distance between 0 and −9
the absolute value of negative 9
the opposite of 9
the absolute value of 9
the distance between 0 and −9
the absolute value of negative 9
the opposite of 9
the absolute value of 9
What is the equation of this line
Answer:
y = 1/2x - 3
Step-by-step explanation:
Slope: Up 1 over 2
Y-Int: -3
y=mx+b
