Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
I need help on this one. it says solve for w. and it says w-8=32. will someone help plz thx.
Answer:
w= -4
Step-by-step explanation:
First we know 8 x 4 is 32 so then we make the 8 negative
and divide -8 by 32 which is -4
You can check it by doing -4 x -8 which is 32!
Remember-
1. When you multiply two negatives it equals a positive.
2. You can check by plugging -4 where w is then solving.
3. If there is a subtraction next to a number (w-8) then whichever number the subtraction sign is in front of is negative.
4. If a variable is next to a number it means to multiply the variable by the number.
How would you graph the solution set of x + 4 > -9?
Answer:
x>-5
Step-by-step explanation:
-9 - -4 =-5
x>-5
↝ Graph from Number Line ↝
x + 4 > -9
x + 4 + 9 > 0
x + 13 > 0
x > -13
↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)
While paying a bill, a man pay RS 189.80as the amount of VAT at .13%. How much was actual bill
Answer:
RS 146189.8
Step-by-step explanation:
let the price before tax be p
hence the final amount paid (i.e the actual bill)
= price before tax + tax
= p + (0.13% of p) (convert percentage into fraction)
= p + [ (0.13/100) x p] ---------------(eq 1)
we are given that the tax (i.e VAT) = 189.80
hence,
[ (0.13/100) x p] = 189.8
0.13p = (100)(189.8)
p = (100)(189.8) / 0.13
p = 146000
hence our eq 1 above becomes:
p + [ (0.13/100) x p]
= 146000 + 189.8
= 146189.8
Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 per year. She will also spend about $100 a month commuting from her parents' house to school. How much will her education cost her in total?
Answer:
$13,400
Step-by-step explanation:
We will first have to take account of the commuting cost, years at school, and total cost of tuition and books
It would cost $5,500 per year, she is studying at the school for 2 years, we will multiply 5,500 by 2
$5,500 * 2
= $11,000
The cost of commuting per month will be multiplied by 12 to represent a year and another 2 for two years
$100 * 12 * 2
= $2400
We all these together for the total cost of her education
$11,000 + $2,400
= $13,400
Plot the image of point D under a dilation about the origin (0,0) with the scale factor of 2.
Answer:
-6,-4
Step-by-step explanation:
Multiple each point by 2
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The image of point D under a dilation about the origin (0,0) with a scale factor of 2 is at (-6, -4)
The graph is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Point D coordinates = (-3, -2)
The point is dilated with a scale factor of 2.
This means,
Multiply the coordinate with 2.
(-3, -2) becomes (-6, -4)
Thus,
The image of point D under a dilation about the origin (0,0) with a scale factor of 2 is at (-6, -4)
The graph is given below.
Learn more about coordinates here:
https://brainly.com/question/13118993
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Which of the following completes the proof?
Triangles ABC and EDC are formed from segments BD and AC, in which point C is between points B and D and point E is between points A and C.
Given: Segment AC is perpendicular to segment BD
Prove: ΔACB ~ ΔECD
Reflect ΔECD over segment AC. This establishes that ∠ACB ≅ ∠E'C'D'. Then, ________. This establishes that ________. Therefore, ΔACB ~ ΔECD by the AA similarity postulate.
translate point E' to point A; ∠E'D'C' ≅ ∠ABC
translate point D' to point A; ∠E'D'C' ≅ ∠BAC
translate point D' to point A; ∠D'E'C' ≅ ∠BAC
translate point E' to point A; ∠D'E'C' ≅ ∠BAC
From the given question, the required answer is option D. It can be deduced that: Reflect ΔECD over segment AC. This establishes that ∠ACB ≅ ∠E'C'D'. Then, (translate point E' to point A). This establishes that (∠D'E'C' ≅ ∠BAC). Therefore, ΔACB ~ ΔECD by the AA similarity postulate.
Rigid transformation is a process of resizing a given shape or figure. This can be done by either increasing or decreasing its dimensions (size) or changing its orientation. Some of the methods required in rigid transformation are: reflection, translation, rotation etc.
From the given question,
if ΔECD is first reflected over (turned about) segment AC, it would be deduced that m∠ACB ≅ m∠E'C'D' = [tex]90^{o}[/tex](right angle principle).
Then, the next process is to translate (extend) point E' to point A, so that m∠D'E'C' ≅ m∠BAC.
This would also ensure that m∠E'D'C' ≅ m∠ABC due to the translation.
This implies that ΔACB ~ ΔECD by the AA similarity postulate.
Therefore, performing reflection and translation operations on ΔECD step-wisely can be used to prove that ΔACB ~ ΔECD by the AA similarity postulate.
A sketch for more clarifications is herewith attached to this answer.
For more clarifications, visit: https://brainly.com/question/20486329
Answer:
its d, i took the test
(at the bottom of the photo it says earned 1 point meaning it right)
what would be the slope intercept form?
Answer:
[tex]y=\frac{7}{2} - 4[/tex]
Step-by-step explanation:
y = mx + b
Where M is the slope and b is the Y-intercept
The number y is equal to 5 more than 15 times .Which of the following equations could be used to find the value of y?
y=5x+15
y=5x-15
y=15x+5
y=15x-5
Answer:
Third choice.
Step-by-step explanation:
y = 15x + 5.
A triangle has sides with lengths of 72 millimeters, 90 millimeters, and 54 millimeters. Is it a right triangle?
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
a^2+b^2=c^2
The longest side is the hypotenuse so c^2 would be 90.
72^2+54^2=90^2
72 and 54 can be either a or b.
Solve for all exponents: 5184+2916=8100.
That equation is true, so the triangle is a right triangle.
A line passes through the point (10,-3) and has a slope of -1/2. Write an equation in point-slope form for this line.
Answer:
y+3 = [tex]\frac{-1}{2}[/tex] (x-10)
Step-by-step explanation:
URGENT!!! ITS DUE IN 5 MINUTES!!!!
Answer:
d
Step-by-step explanation:
I'll edit my response to tell you why later. it seems like you need this answer now.
Answer:
A?
Step-by-step explanation:
I'm pretty sure thats the answer! I,m currently learning that in class so I might be wrong!
⚠️⚠️ Find the correct for each input. Then, tell whether the function is linear or nonlinear ⚠️⚠️
Answer:
-1, -7
1, 3
3, -1
5, -5
Step-by-step explanation:
Find the argument of the complex number -3–9 in the interval 0°< ϴ < 360°,
rounding to the nearest tenth of a degree if necessary.
Answer:
[tex]\theta=251.6^\circ[/tex]
Step-by-step explanation:
Complex Numbers
They are expressed as the sum of a real part and an imaginary part:
[tex]Z = a+b\mathbf{ i}[/tex]
Complex numbers can also be expressed in polar form:
[tex]Z = r(\cos\theta+\sin\theta \mathbf{ i}) = r. cis(\theta)[/tex]
Where r is the modulus of the complex number and θ is the argument.
The argument can be calculated by:
[tex]\displaystyle \tan\theta=\frac{b}{a}[/tex]
The angle θ must be calculated in the appropriate quadrant depending on the signs of the real and imaginary parts.
The complex number is given as:
[tex]Z = -3 -9\mathbf{ i}[/tex]
Here: a=-3, b=-9
Since both components are negative, the argument lies in the third quadrant (180° < θ < 270°).
[tex]\displaystyle \tan\theta=\frac{-9}{-3}[/tex]
[tex]\displaystyle \tan\theta=3[/tex]
[tex]\theta=\arctan(3)[/tex]
The calculator gives the answer 71.6°, we need to adjust the angle to the third quadrant by adding 180°, thus
[tex]\mathbf{\theta=251.6^\circ}[/tex]
PLZZ HELP!
Calculate the Discriminant
Equation
Discriminant
Correct?
2x2 + 5x – 3 = 0
D=
Not yet
x2 + 7x + 2 = 0
D=
Not yet
3x2 - 12x + 12 = 0
D=
Not yet
5x2 – 2x – 11 = 0
D=
Not yet
x2 – 5x + 8 = 0
D=
Not yet
determine whether the relation is a function. if the relation is a function determine whether it is linear or not linear
Answer:
We conclude that the relation is a function but it is not a linear function.
Step-by-step explanation:
The given table represents a function because each input or x-value is related to exactly one output or y-value.
In other words, there is no repetition of 'x' values. This indicates that the given relation in the table represents a function.
In order to check whether the function is linear or not linear, we need to check how x and y values change.
The table indicated that x increases by 2, now we need to determine whether the y-values increases at a constant rate or not. For this, we need to find the first difference between y-values.
-3 - (-8) = 5
3 - (-3) = 6
7 - 3 = 4
As the first difference between the consecutive y-values is not constant, meaning that y-values do not increase at a constant rate as x-values increase by 2.
Thus, it is not a linear function,
Therefore, we conclude that the relation is a function but it is not a linear function.
Which identity is the result of using the pythagorean theorem to show that a triangle with side lengths x^2 - 1, 2x, and x^2 + 1 is a right triangle?
A. (x^2 - 1)^2 + (2x)^2 = -(x^2 + 1)^2
B. -(x^2 -1)^2 + (2x)^2 = (x^2 +1)^2
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
D. (x^2 - 1)^2 - (2x)^2 = (x^2 + 1)^2
9514 1404 393
Answer:
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
Step-by-step explanation:
Inexplicably, three of the four answer choices have minus signs in them. Those are all incorrect. The appropriate choice is ...
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
__
Expanded, this is ...
x^4 -2x^2 +1 +4x^2 = x^4 +2x^2 +1 . . . . the desired identity
Answer:
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
Step-by-step explanation:
Are these expressions equivalent 2(3x + 5) = 6x + 5?
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
2(3x+5)=6x+5
6x+10=6x+5
not equal
solve for x pls help me
Answer:
90
Step-by-step explanation:
circumference of total circle = 16 pi
16 pi / 4 pi = 4
1 / 4 =25%
1/4 * 360 = 90
Calculate the value of 4x2 + xy when x = 3 and y=-2.
Answer:
Step-by-step explanation:
4x squared + xy
4x(4x) + xy
12(12) + 3 x 2
144 + 6
= 150
pleaseee help me its due by tonight thanks :D
Answer:
C. NegativeB. PositiveC. NegativeC. NegativeA. ZeroExplanation:
1.) 3.2 - 5.7 = -2.5
2.) 4.25 - (-2.3) = *double negative = positive* = +6.55
3.) -0.18-2 = -2.18 *2 negatives will add numbers, but the sign remains negative*
4.) -9 + 2.5 = -6.5 *since 9 is greater, we will use its sign, then subtract the two*
5.) (-9 + 5) +4 = -4 +4 = 0
3.2-5.7=C
4.25-(-2.3)=C
-0.18-2=C
-9+2.5=C
-9+5=4=B
Which of these numbers is irrational?
A. 35
B. 5
C.
O D. -3.5
Answer:
the answer is 35
Step-by-step explanation:
it is a very messy number if your square root it
None of the given numbers are irrational numbers as they can be expressed in the form of p/q.
What are irrational numbers?An irrational number is a number that cannot be expressed as a fraction p/q for any integers {p} and {q}.
Given are the numbers in the options.
None of the given numbers are irrational numbers as they can be expressed in the form of p/q.
Therefore, None of the given numbers are irrational numbers as they can be expressed in the form of p/q.
To solve more questions on rational and irrational numbers, visit the link below -
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pls answer. the question is at the photo
Answer:
a. -17
b. 193
Step-by-step explanation:
I'm assuming that we are only using the regular operations add, sub, div, and mult.
smallest number is just 1-8-4-6 = -17
largest number is 8*4*6+1 = 193, this is what I think
What is the answer? Also can u help with the working out.
Answer:
Step-by-step explanation:
A. y= -x+2. The -x makes the line go from left to right. The points are (0,2)(2,0)
B. 3y=2x-1 points are (2,1)
help plz will bark brailiest help plzzzzzz
Answer:
4 strips
Step-by-step explanation:
There are one hundred centimeters in one meter, so you multiply 2 and 100.
2*100=200
And then you divide by 50, since the strips are 50cm long
200/50=4
4 fifty cm strips
What is 1 1/3 as a percent pls?
Answer:
133.3333333333333333%
Step-by-step explanation:
never ending 3
Answer:133.3%
Step-by-step explanation:
3(-2 - n) = -9 -4n answer
Answer:
n = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3(-2 - n) = -9 - 4n
Step 2: Solve for n
Distribute 3: -6 - 3n = -9 - 4nAdd 4n to both sides: -6 + n = -9Add 6 to both sides: n = -3Step 3: Check
Plug in n to verify it's a solution.
Substitute: 3(-2 - -3) = -9 - 4(-3)Simplify: 3(-2 + 3) = -9 - 4(-3)Add: 3(1) = -9 - 4(-3)Multiply: 3 = -9 + 12Add: 3 = 3Solve with ZPP
Equation
Solution Set
Correct?
(x-4)(x - 5) = 0
{,}
Not yet
(x + 1)(x + 7) = 0
{:}
Not yet
x(7x – 5)=0
{,}
Not yet
(3x + 1) (5x - 2) = 0
{,}
Not yet
Answer:
Step-by-step explanation:
{4, 5}
{ - 1, - 7 }
{ 0, 5/7 }
{ - 1/3 , 2/5 }
help :D i don’t understand number 8 or 9
Answer:
If the rate of change is -3, just subtract -3 from 14 (or make the equation to help you).
_________________________________________________________
The equation for the first one is:
y = -3x + 14
When you plug in the x values, you get the y values:
(-2, 20), (1, 11), (3, 5), (4, 2), (6, -4)
For the second one, the start value is 2, meaning that is is y. This means that when 2 is plugged in for y, the result is 0 (x). Now we can make the equation:
y = 0.4x + 2
When you plug the x values in, you get the y values:
(-1, 1.6), (1, 2.4), (4, 3.6), (5, 4), (10, 6)
_________________________________________________________
The local farm market sell peppers at five for $2.25
Answer:
Wait what is the question?
4y – 9 = -63
Someone, please help me find the steps of this equation!!
HELP ME PLEASE!!!
Answer:
The answer is y=-13.5
Step-by-step explanation:
4y-9=-63
add 9 from both sides because it's negative
4y=-54
divide both sides by 4 to isolate the variable
y=-13.5
Answer:
4y-9=-63
add 9 from both sides because it's negative
4y=-54
divide both sides by 4 to isolate the variable
y=-13.5