This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.
In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.
Thus, the friend is not correct.We are given the equation;
|2x + 9| + 7 = 3
Now when dealing with absolute values, it means that the solution is either positive or negative.
For example;
|x| = 5 means that x = +5 or -5
Thus in this question, let us first of all simplify the equation to get;
|2x + 9| = 3 - 7
|2x + 9| = -4
From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.
Thus, the friend is not correct.
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What is the inverse of the function f(x) = 2x – 10?
Answer:
The inverse f-1(x) = ( x + 10)/2.
Step-by-step explanation:
f(x) = 2x - 10
Find x in terms of f(x):
2x = f(x) + 10
x = (f(x) + 10))/ 2
Replace x by the inverse f-1(x) and f(x) by x:
f-1(x) = (x + 10)/2.
Sales Tax - You go to the store and purchase a shirt for $33.99, how much will you pay
after 8.25% sales tax.
Answer:
$95.17
Step-by-step explanation:
[tex] 33.99 \times 0.0825[/tex]
[tex] = 2.80[/tex]
[tex] 33.99 + 2.80[/tex]
[tex] = $95.17[/tex]
what's the answer to 5 of the statement side , please help
Step-by-step explanation:
2x+3x=15
5x=15
x=15/5
x=3
Evaluate and simplify expressions
Pls put the solution as well
Answer:
The answer for question no 1 is 9
Step-by-step explanation:
Check out the steps as I've done in the image sent
Work 2 and 3,using the same process
Hope you understand?
Find the midpoint of (4,5) & (2,2)
Answer:
&
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf (3, \frac{7}{2}) \ or \ (3, 3.5)}}[/tex]
Step-by-step explanation:
The midpoint is the middle point of a line segment that bisects (splits into 2 equal parts) the line segment. When we calculate the midpoint, we basically find the average of the x-coordinate, then the average of the y-coordinates. The formula is:
[tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the segment.
We are given the points (4,5) and (2,2). Match the value and the corresponding variable.
x₁= 4 y₁= 5 x₂= 2 y₂=2Substitute these values into the formula.
[tex](\frac{4+2}{2} , \frac{5+2}{2})[/tex]
Solve the numerators.
X-coordinate: 4+2= 6 Y-coordinate: 5+2=7[tex](\frac{6}{2}, \frac{7}{2})[/tex]
Divide.
[tex](3, \frac{7}{2}) \ or \ (3, 3.5)[/tex]
The midpoint of the line segment is (3, 7/2) or (3, 3.5).
Find the equivalent equation that results from adding 5 to both sides first and then multiplying
both sides by 2. Show each step. You do not have to solve the equation at the end.
Answer:
5d = 30
Step-by-step explanation:
1. first you need to add 5 to both sides
d-4+5 = 2+5
2. then you need to combine like terms
d+1 = 7
3. after that you have to multiply both sides by 5
5(d+1) = 7(5)
4. simplify
5d + 5 = 35
-5 -5
5d = 30
8 - 4s = s + 13
what is s?
Answer:
-5s = 5
S= - 1
Step-by-step explanation:
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kareem made $273 for 13 hours of work. At the same rate, how much would he make for 5 hours?
Answer:
$105
[tex] \frac{273}{13} \times 5 = 105[/tex]
How do I solve this
Answer:
it's 67
Step-by-step explanation:
Step-by-step explanation:
the base is already same.
-9 + (-8) - (-7) = -10
= m^-10
In 2015, the city of Miami had a population of 441,000 people and an area of 36 square miles. What was the population density of Miami, in people per square mile, in 2015? 10,750 12,250 14,250 16,750
Answer:
12,250
by dividing the 441000 by 36, I got the answer.
The population density of Miami, in people per square mile, in 2015 was 12,250
The given parameters are:
Population = 441,000 peopleArea = 36 square milesThe population density of a place is the ratio of the population to the unit square area.
So, we have:
[tex]Density=\frac{Population}{Area}[/tex]
Substitute known values
[tex]Density=\frac{441000}{36}[/tex]
[tex]Density=12250[/tex]
Hence, the population density of Miami, in people per square mile, in 2015 was 12,250
Read more about population density at:
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A jacket costs $129.95. The sales tax rate is 8%. If prepresents the price of the jacket, and the sales tax rate, which TWO expression
represent the total cost of the jacket?
A) p+гр
B) P - 0.08
C)1.08p
D) (p-r)+p
E) 0.92p
Answer:
A and C
Step-by-step explanation:
A. P+rp would be 129.95+.08(129.95)=140.35
C 1.08p=1.08(129.95)=140.35
What is the perimeter of this rectangle?
21 units
3 units
12 units
None of the above.
Answer:
12
Step-by-step explanation:
12 units....
perimeter is the total surface area of a certain object or shape... counting only the surfaced side of each square tat makes up this rectangle.... its perimeter is 12 units
PLS HELP!!
Find the slope of the line through each pair of points.(-10, -1). (-15, -7)*
Answer:
6/5
Step-by-step explanation:
To find the slope, we use the formula
m = ( y2-y1)/(x2-x1)
= ( -7 - -1)/(-15 - -10)
= (-7+1)/(-15+10)
= -6/-5
= 6/5
What is 10x^2 times 9x^2
The length of a rectangle is twice its width.
The perimeter of the rectangle is 126 feet.
Answer: Length = 42ft Width = 21ft
Step-by-step explanation:
Let "w" be width
W = 21ft
w x 2 = L
L = 42ft
Perimeter:
42+42+21+21
=126
please help me is for my homework
Answer:
[tex]\frac{59}{100}[/tex]
Step-by-step explanation:
first divide 59 by 100
[tex]\frac{59}{100}[/tex]
now simplify
as u can see we can not simplify and it is the last stage so the answer will be
[tex]\frac{59}{100}[/tex]
Which equation represents a line which is perpendicular to the line y =
= -x - 72
6x - 5y = 30
Oby - 52 = 18
Submit Answer
O 6x + 5y = 20
O 5x + 6y = 42
PLS HELP ASAP
Answer:
[tex]5x + 6y = 42[/tex]
Step-by-step explanation:
Hope it is helpful....
21. Describe a real-life situation that can be modeled by an absolute-value equation
with the solutions x = 5 and x = 10.
Will give Brainly
The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:
"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."
Given that:
[tex]x = 5\ or\ x = 10[/tex]
An example of real life situation is as follows:
Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.
Represent the point at which the boy stays with x. So, the situation is represented as:
[tex]|x - 7.5| = 2.5[/tex]
Remove absolute brackets
[tex]x - 7.5 = 2.5\ or\ x - 7.5 = -2.5[/tex]
Solve for x
[tex]x = 7.5+2.5\ or\ x = 7.5-2.5[/tex]
[tex]x = 10\ or\ x = 5[/tex]
Hence, the value of x is 5 or 10
Read more absolute values at:
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A circle is the set of points around that are all the SAME distance from a central point inside the circle.
O True
O False
Answer:
True
Step-by-step explanation:
The statement is TRUE and is the basic definition of a circle
Solve X/3 - 2X+1/3 = X-3/5
Answer:
Answer is 3
Step-by-step explanation:
x/3-2x/1+3 =x-3/5
x/3-x/3 = x-3/5
0=x-3/5
0=x-3
3=x
sothat, x = 3 ans
Which names are other ways to name Angle
2?
Select each correct answer
Answer:
when are you going to insert file?
(3x2 – 5x + 6) + (2x2 + 7x - 9)
Answer:
Step-by-step explanation:
3x^2 + 2x^2 - 5x + 7x + 6 - 9
5x^2 + 2x - 3
#39 only show work pls hurry tysm
Let earn per hour be x
The equation will be
[tex]\\ \sf\Rrightarrow 6.5(x)=42.25[/tex]
[tex]\\ \sf\Rrightarrow 6.5x=42.25[/tex]
[tex]\\ \sf\Rrightarrow x=\dfrac{42.25}{6.5}[/tex]
Find the value of x that will make A||B.
Answer:
7
Step-by-step explanation:
By the definition of alternate interior angle:
3x-2=2x+5
3x-2x=5+2
x=7
Note:if you need to ask any question please let me know.
Answer:
x = 7
Step-by-step explanation:
since these are alternating interior angles, these two expressions will be = to each other
2x+5=3x-2
subtract the 2x from both sides
5=x-2
add the 2 to both sides
7=x
2. Quinton sold the most tickets in his school for the annual Autumn Festival. As a
reward, he gets to choose twice from a grab bag with tickets that say "free juice" or
"free notebook."
Answer:
I personally would choose the notebook
Step-by-step explanation:
How can $500 be divided between four people so that each person gets $20 more than the person before.
Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
Solve: 2 3/4 ÷ 1 4/7=
Help?
Answer:
[tex] \frac{11}{7} [/tex]
Step-by-step explanation:
[tex]2 \frac{3}{4} \div 1\frac{4}{7} [/tex]
[tex] = 2 \frac{3}{4} \times \frac{4}{7} [/tex]
[tex] = \frac{11}{4} \times \frac{4}{7} [/tex]
[tex] = 11 \times \frac{1}{7} [/tex]
[tex] = \frac{11}{1} \times \frac{1}{7} [/tex]
[tex] = \frac{11 \times 7}{1 \times 7} [/tex]
[tex] = \frac{11}{1 \times 7} [/tex]
[tex] = \frac{11}{7} [/tex]
Which of these is a factor in this expression?
624 – 4+9 (73 + 3)
O A. -4+9 (+ 3)
O B. (18+ 3)
O C. 624 – 4
O D. 9 (y2 + 3)
URGENT
Answer:
May be the ans is option C and A
Order the numbers below from least to greatest.
Answer:
I don't believe any of these are correct.
I think the real order is:
-9/4, -1, [tex]\sqrt{6}[/tex], 1/4, 3.9
But I would choose D if I were you.
Which Statement is not true based on the figures below?
A statement that is not true based on the figures would be A; CD = JK
WE are given the figure of two similar pentagon figure that are;
ABCDE and JKLMN
Similar figure are zoomed in or zoomed-out (or just no zoom) version of each other. For two similar figures, the pair-by-pair similar angles of those two similar figures are called corresponding angles tthat are of same measurement.
Thus, we can see that the sides are similar to each other.
AB = JK
CB = LK
CD = LM
DE = MN
AE = JN
Since CD = JK is not valid
Therefore, we can conclude that the first statement is incorrect.
Hence, the answer is A.
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