Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The expression is given in the question, as follows:
(x-4)²
As we know that the sum of square identity (a-b)² = a² + b² - 2ab
So x² + (4)² - (2)(x)(4)
x² -8x + 16 or
x² + 16 -8x
This expression is equivalent to the given expression.
Hence, the correct answer would be an option (C).
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Someone please help me
Answer:
The answer is x = 4
Step-by-step explanation:
1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9
2. Next you simplify the distributed equation, 3/4x + 6 = 9
3. Now subtract 6 from both sides, 3/4x = 3
4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3
5. Simplify, x = 4
4x - 7 = -2x +12 what are the steps ?
Step-by-step explanation:
4x-7=-2x+12
Add 2x
6x-7=12
Add 7
6x=19
Divide 6
x = 19/6
19/6 = 3 1/6
x = 3 1/6
Answer:
First u have to take -7 to the other side to make it +7 which will make it 4x=-2x+12+7And then take -2x to the other side to make 4x+2x=12+7which makes it 6x=19then solve for xboth divided by 66x/6=19/6cancel both 6athen x =ans?One more question that is very similar to the last problem. I am confused on how to solve the powers in both the numerator and the denominator. Do you think you could help me?
[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Which function has a constant additive rate of change of -1/4?
4
1y
4
y
y
2
2
20
-1
-12
7
21
-1.5
-11
11
2
4
- 2
-2
-4-2
-2
22
-2
-10
14
23
-2.5
-9
17
Intro
Done
Answer:
4,20,11,2,1y
Step-by-step explanation:
The first graph has a constant additive rate of change of -1/4.
First of all, when we talk about a rate of change, that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.
Also, if you observe the linear graph, you would see that the line represents a negative rate of change, because the line is going down (the function is decreasing). In other words, as x-variable increases, y-variable decreases.
Therefore, the first graph shows a ratio of change of -1/4.
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The lowest common multiple of the prme numbers between 1 and 10 is?
Answer:
2520
Step-by-step explanation:
Describe and correct the error in finding the solution
(look at picture for problem)
Answer:
divide both sides by 2
Step-by-step explanation:
ini apa we jawabannya pelasee
Answer:
kualitas terjemahannya mungkin tidak bagus. Jadi lihat 2 baris terakhir jika Anda tidak mengerti.
Jadi jumlah derajat tidak masalah. Mereka masih akan menempuh jarak yang sama.
Karena Anda mengatakan bahwa ekspres Marina berjalan pada 40 km / jam dan kami melakukan 2 jam. 40 * 2 = 80 km. Untuk Dumai Anda melakukan hal yang sama, 48 * 2 = 96.
Marina berjalan sejauh 80 km
Dumai berjarak 96 km
Really need help it’s due tomorrow
Answer:
C) 38
Step-by-step explanation:
You are solving for m∠QSR.
Given:
m∠TSR (Total of the two angles) = 70
m∠QST = 2x
m∠QSR = 3x - 10
Set the two angles equal to the total measurement of angles:
2x + 3x - 10 = 70
Simplify. Combine like terms. Add 2x & 3x:
2x + 3x = 5x
5x - 10 = 70
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 10 to both sides:
5x - 10 = 70
5x - 10 (+10) = 70 (+10)
5x = 70 + 10
5x = 80
Next, divide 5 from both sides:
(5x)/5 = (80)/5
x = 80/5
x = 16
Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.
m∠QSR = 3x - 10
m∠QSR = 3(16) - 10
m∠QSR = 48 - 10
m∠QSR = 38
C) 38 is your answer.
~
Answer:
38
Step-by-step explanation:
the sum of two angles =70
2x+3x-10= 70
5x=80
x=80/5=16
QSR= 3x-10=3*16 -10= 48-10= 38
help me with this pls
Step-by-step explanation:
b can be used to check her score
What are the possible solutions to this system?
Answer:
x < 6.5
y < -1.5
Step-by-step explanation:
y > x - 8
Therefore x < y + 8
y < 5 - x
Therefore x < 5 - y
2x < 13
x < 6.5
6.5 < 5 - y
y < -1.5
– 4 vc2, when v = –7 and c = –2
Answer:
[tex] \boxed{112} [/tex]
Step-by-step explanation:
[tex]Evaluate - 4v {c}^{2} \: where \: v= - 7 \: and \: c= - 2 : \\ = > - 4v {c}^{2} \\ = > - 4( - 7) {( - 2)}^{2} \\ \\ {( - 2)}^{2} = 4: \\ = > - 4( - 7)4 \\ \\ - 4( - 7) = 28: \\ = > 28 \times 4 = 112[/tex]
Which table represents a linear function?
Answer: first one
Step-by-step explanation:
Which statements are true? SELECT ALL THAT APPLY
Answer:
C
Step-by-step explanation:
AC & BC are adjacent sides.
If two sides share a vertex, then they are adjacent sides
What is the largest possible value x could take given that it must be an integer? x < 5
Answer:
4
Step-by-step explanation:
No greater number than 4 can be x because otherwise it'll be equal to or more than 5
The largest possible value x could take given that it must be an integer of x < 5 is; x = 4
We first have to understand the meaning of integers.
Integers are defined as whole numbers which could be positive or negative or even zero.
Now, we want to find the highest possible integers that are less than 5 from;
x < 5
Now, the first integer lower than 5 will be the highest possible one. That integer is 4.
Thus, x = 4.
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What’s the square root of 500
Answer:
22.360679775
Step-by-step explanation:
i used a calulator on the web
Answer:
±10 sqrt(5)
Step-by-step explanation:
sqrt(500)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(100*5)
sqrt(100) sqrt(5)
±10 * sqrt(5)
1. If the original price is $75 and you get a 30% discount. What is the sale
price?
Answer:
the sale price is 52.50
Step-by-step explanation:
30% discount means that the person pays 70% of the original price
multiply 75 by 70% written as a decimal 0.70
75*0.70 = 52.50
A standard die is rolled. Find the probability that the number rolled is less than 4. Express your answer as a fraction in lowest terms or a
decimal rounded to the nearest millionth
Answer:
1/2
Step-by-step explanation:
The results of the roll can be
1,2,3,4,5,6
The rolls that are less than 4 are 1,2,3
P( less than 4) = number of rolls less than 4 / total
= 3/6
=1/2
A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?
Answer:
let x = the number of nickels
the number of pennies can be represented by (56 - x)
.05x + .01(56 - x) = 1.52
5x + (56 - x) = 152 if in the above line we multiply both sides of the equation by 100
4x + 56 = 152
4x = 96
x = 24
There are 24 nickels and 56 - 24 = 32 pennies
24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52
Step-by-step explanation:
how would i answer this?
Answer:
Option (B).
Step-by-step explanation:
Option (a). {(1, 2), (3, 4), (4, 5), (6, 7)}
Since in every ordered pair value of x corresponds a distinct value of y.
The given ordered pairs represent one-to-one function.
Option (b). {(0, 3), (1, 5), (3, 9), (1, 13)}
In the ordered pairs (1, 5) and (1, 13) value of x correspond to the two different values of y.
Therefore, its not a function.
Option (c). {(-2, 2), (-3, 3), (-4, -4), (-5, -5)}
For every value of x there is distinct value of y.
Therefore, given set of ordered pairs represent a one to one function.
Option (d). {(1, 2), (2, 2), (3, 5), (4, 8)}
Ordered pairs represent a function.
Option (B), will be the answer.
based on one of the triangle congruence postulates the two triangles shown are congruent
Answer: b) FALSE
Step-by-step explanation:
In order to show triangle congruency, you must be able to prove one of the following theorems:
SAS: Side-Angle-Side
SSS: Side-Side-Side
AAS: Angle -Angle-Side
ASA: Angle-Side-Angle
HL: Hypotenuse-Leg (can only be used for right triangles)
We are only given information about two of the sides being congruent but no information on the third side or any of the angles so we canNOT prove the triangles are congruent.
A linear sequence starts a+3b a+7b a+11b the 2nd term has value 19 the 5th term has value 67 work out the values of a and b
Answer:
[tex]a = -9[/tex]
[tex]b = 4[/tex]
Step-by-step explanation:
Given
Sequence: a+3b, a+7b, a+11b
2nd term = 19
5th term = 67
Required
Find a and b
First, the 5th term needs to be calculated;
Using formula for Arithmetic Progression (AP), the formula goes thus
[tex]T_n = T_1 + (n - 1)d[/tex]
Where n = 5
T_1 = a + 3b ------------ FIrst term
[tex]d = T_2 - T_1 or T_3 - T_2[/tex] --- Difference between two successive terms
[tex]d = a + 7b - (a + 3b)[/tex]
[tex]d = a + 7b -a - 3b[/tex]
[tex]d = a - a + 7b - 3b[/tex]
[tex]d = 4b[/tex]
So, [tex]T_n = T_1 + (n - 1)d[/tex] becomes
[tex]T_5 = a + 3b + (5 - 1)4b[/tex]
[tex]T_5 = a + 3b + (4)4b[/tex]
[tex]T_5 = a + 3b + 16b[/tex]
[tex]T_5 = a + 19b[/tex]
Now that we have values for 2nd and 5th term;
From the second, T2 = 19 and T5 = 67
This gives
[tex]a + 7b = 19[/tex] --- Equation 1
[tex]a + 19b = 67[/tex] ---- Equation 2
Make a the subject of formula in (1)
[tex]a = 19 - 7b[/tex]
Substitute these values in equation 1
[tex]a + 19b = 67[/tex] becomes
[tex]19 - 7b + 19b = 67[/tex]
[tex]19 + 12b = 67[/tex]
Collect like terms
[tex]12b= 67 - 19[/tex]
[tex]12b = 48[/tex]
Divide both sides by 12
[tex]\frac{12b}{12} = \frac{48}{12}[/tex]
[tex]b = 4[/tex]
Recall that b = 4
Substitute a = 19 - 7b and nothing will hire
[tex]a = 19 - 7(4)[/tex]
[tex]a = 19 - 28[/tex]
[tex]a = -9[/tex]
Hence, the values of a and b are -9 and 4 respectively.
Which equation represents circle C?
Answer:
The equation of the circle is
(x + 4)^2 + (y-1)^2 = 162
Step-by-step explanation:
Here, we want to give the correct equation of the circle.
The center of the circle is (-4,1)
Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.
We use the distance formula to calculate this.
So the distance we want to calculate is the distance between;
(-4,1) and (5,-8)
using the distance formula, we have
d = √(x2-x1)^2 + (y2-y1)^2
Substituting these values, we have;
d = √(5 + 4)^2 + (-8-1)^2
d = √(9^2 + 9^2)
d = √(162)
d = 9 √2 units
The formula for the equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where (h,k) are coordinates of the center which is (-4,1) in this question
The way of the circle is thus,
(x-(-4)^2 + (y-1)^2 = {9√(2)}^2
(x + 4)^2 + (y-1)^2 = 162
The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height of the fifth player is unknown. 137 cm, 150 cm, 144 cm, 149 cm Is the fifth player taller or shorter than 141 centimeters?
[tex]\frac{137+150+144+149+x}{5} =141[/tex]
[tex]x=125[/tex]
Therefore, the man is shorter than 141 centimeters.
Angel wants to distribute a certain amount of money among his children. IF you split $10 each, you have $35 left, and if you split $15 each, you still have $5 left. Indicates the amount of money distributed.
Answer:
95
Step-by-step explanation:
Let x be the number of children
10x+35 = money
15x+5 = money
Set the equations equal
10x+35 = 15x+5
Subtract 10x from each side
35 = 5x+5
Subtract 5 from each side
30 =5x
Divide by 5
30/5 =5x/5
6 =x
There are 6 children
10x+35 = money
10(6) +35
60+35
95
The amount of money is 95
Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is 0.4 if she cycles the probability that she is late is 0.1 What is the probability that she will not be late for school
Answer:
0.705
Step-by-step explanation:
Data:
walks=0.65 and is late=0.4;is not late=0.6
cycles=0.35 and is late=0.1;is not late=0.9
The probability of sheila walking and not being late:
0.65 x 0.6=0.39
AND probability of being not late and cycling:
0.35 x 0.9=0.315
therefore,the probability of sheila walking or cycling and still not being late:
0.39+0.315=0.705
Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters. In parallelogram PQSR, what is PQ
Answer:
9 cm
Step-by-step explanation:
Since PQ and RS are opposite each other, then in a parallelogram, the lengths will be congruent.
Therefore 2x+5=4x+1
2x=4
x=2
If you plug x=2 into the the original equation, you get 9 cm.
The measure of PQ is 9 centimeters.
Important information:
In parallelogram [tex]PQSR, PQ=(2x+5),RS=(4x+1)[/tex]Parallelogram:The oppositie sides of a parallelogram are equal.
[tex]PQ=RS[/tex]
[tex]2x+5=4x+1[/tex]
[tex]5-1=4x-2x[/tex]
[tex]4=2x[/tex]
Divide both sides by 2.
[tex]2=x[/tex]
Now, find the measure of PQ.
[tex]PQ=2x+5[/tex]
[tex]PQ=2(2)+5[/tex]
[tex]PQ=4+5[/tex]
[tex]PQ=9[/tex]
Therefore, the measure of PQ is 9 centimeters.
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Can someone help me solved this problem plz! I need help help ASAP! Plz help me with this problem! If you help me I will mark you as brainiest!
Step-by-step explanation:
a 6xy is the answer to question a
Answer:
(1) 6 (2) 2
Step-by-step explanation:
[tex]1)y=\frac{36}{6}\\y=62) \\[/tex]
[tex]y=\frac{36}{18}\\y=2[/tex]
Find the volume of a right circular cone that has a height of 13.8 ft and a base with a radius of 7.8 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
879.2ft^3
Step-by-step explanation:
If 2x2 - 4x + 6 = 1 then A= 2, B = -4, and C = 6 in general form.
True
False
Answer:
false
Step-by-step explanation:
A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?
show work pls tnx!
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
Answer:
⇒Pgreen or yellow=5\11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
