Answer:
Step-by-step explanation:
b
The justification for Step 1 is the subtraction property of equality. Option B
What is the justification for step 1 in the solution process?The justification for Step 1 within the arrangement prepare, which changes the condition 15x − 8 = 14x + 13 into 15x = 14x + 21, is the subtraction property of uniformity.
The subtraction property of equality states that in the event that we subtract the same amount from both sides of an condition, the condition remains genuine. In this case, we are subtracting 14x from both sides of the condition to confine the term with x.
To clarify Step 1 utilizing the subtraction property of correspondence:
The condition 15x − 8 = 14x + 13 is given.
We need to disconnect the x term on one side of the condition. To do this, we got to dispose of the 8 on the cleared out side.
By subtracting 14x from both sides of the condition, we evacuate the 14x term from the correct side:
15x − 14x − 8 = 14x − 14x + 13
Simplifying:
x − 8 = 13
Now, the 14x term is dispensed with from the proper side of the condition.
To advance streamline the condition, we are able include 8 to both sides to dispose of the -8 term on the cleared out side:
x − 8 + 8 = 13 + 8
Simplifying:
x = 21
Now, we have effectively isolated the x term on one side of the condition.
Therefore, the justification for Step 1 is the subtraction property of equality (B).
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Complete question
What is the justification for step 1 in the solution process?
15x − 8 = 14x + 13
Step 1: 15x = 14x + 21
A.
the addition property of equality
B.
the subtraction property of equality
C.
the division property of equality
D.
the multiplication property of equality
answer question for brainliest
The table shows the listed sale price for bottled water at four stores.
Which store charges the LEAST amount per bottle of water?
Store 1 Store 2 Store 3 Store 4
Three 12 packs One 12 pack Four 6 packs One 6 pack
$10.49 $3.89 $7.99 $2.29
A
Store 1
B
Store 2
C
Store 3
D
Store 4
Answer:
I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please
Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y = total cost and x = number of months.
Answer:
y=45x+25
y = total cost and x = number of months.
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
Answer:
1/4
Step-by-step explanation:
y2-y1/x2-x1
6-5/ 0 - -4.... since it's two subtract signs facing each other you turn it into a +..... 1 /4
Answer:
1/4
Step-by-step explanation:
y2-y1/x2-x1
6-5/ 0 - -4.... since it's two subtract signs facing each other you turn it into a +..... 1 /4
2+2= HURRY I THINK ITS GOLDFISH BUT I DONT KNOW
Answer:
4
Step-by-step explanation:
Answer:
It's either 4 or fish
LM(face)OOO
PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10
K=?
Answer:
2k⋅(3k−7)⋅(k+4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((6 • (k3)) + (2•5k2)) - 56k
STEP
2
:
Equation at the end of step
2
:
((2•3k3) + (2•5k2)) - 56k
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6k3 + 10k2 - 56k = 2k • (3k2 + 5k - 28)
Trying to factor by splitting the middle term
4.2 Factoring 3k2 + 5k - 28
The first term is, 3k2 its coefficient is 3 .
The middle term is, +5k its coefficient is 5 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 3 • -28 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is 5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5
-7 + 12 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 12
3k2 - 7k + 12k - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (3k-7)
Add up the last 2 terms, pulling out common factors :
4 • (3k-7)
Step-5 : Add up the four terms of step 4 :
(k+4) • (3k-7)
Which is the desired factorization
Final result :
2k • (3k - 7) • (k + 4)
Help please it is math
help asap plssssss.
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
can someone please awnser this for me ?
Answer:
The answer is d.60 degrees
Step-by-step explanation:
When you add up all the angles in a triangle, you get the sum of 180°.
Since this is an equilateral triangle, all of the angles will be 60° because 180/3=60
HELP RIGHT AWAY
WILL MARK DOWN BRAINLIEST
Answer:
B
Step-by-step explanation:
Equation for a line is y = mx + b where m is the slope and b is the y intercept.
First, we see that the y intercept is 60.
Second, we see that for every 10 units y decreases, x increases by 5. This gives us a slope of -2 because (-10/5)=-2
If we plug our values into the equation of a line we get
y=-2x+60
i really need help please
Answer:
QR
Step-by-step explanation:
y=1/4 x y=4x-5 parallel perpendicular neither
Answer:
Neither.
Step-by-step explanation:
The slope for the first one is 1/4 and the slope for the second one is 4. These are reciprocals, but not opposite reciprocals, meaning they are not perpendicular. An opposite reciprocal means the fraction is flipped (ex. 3/1 to 1/3) and the sign is changed. The line parallel to y=1/4x would be y= -4x.
Answer:
Neither
Step-by-step explanation:
−11 − 15 Group of answer choices -26 26 -4 4
Answer:
-26
Step-by-step explanation:
-11 - 15 = -26I hope this helps!
A relation is
i don't know this answer somebody please help
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set.
The ____ is the set of inputs for a function.
Answer:
Domain
Step-by-step explanation:
The set of input values is called the domain of the function.
Hope I helped! Please mark Brainliest!
Answer: the domain is the set of inputs for a function
so domain.
the volume of a cube is 125m find it's side
Answer:
41.6666666667m ( round to nearest whole number if you need to) -> 42m
Step-by-step explanation:
To find the volume
You multiply the length, width, and height. ( V= LxWxH)
So, divide 125 by 3 and you get 41.6666666667.
To check your answer: 41.6666666667 times 3 and you get 125.
I HOPE THIS HELPS YOU!! :)
Simpfly: 9f + 10f - 12f
Answer:
7f
Step-by-step explanation:
Just add them all together keeping the f on
Then subtract keeping the f on
Answer:
7f
Step-by-step explanation:
To simplify you will need to do it the same way as in adding natural numbers the variable doesn't change the number
So it's going to be;
9f+10f-12f
(Nine plus Ten is equal to 19)
•The variable remains the same
19f-12f
•So you subtract 12 from 19 which is going to be;
7f
If Mis a centroid of triangle WOR and WM = 16, what is WX?
8
24
10
32
Answer:
WX = 24
Step-by-step explanation:
Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1
Therefore,
WM/ MX = 2/1
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
WX = WM + MX
WX = 16 + 8
WX = 24
The value of the side WX is equal to 24. The correct option is B.
What is the centroid of the triangle?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.
Here, the ratio of the two sides will be given as:-
WM/ MX = 2/1
Calculate the value of MX to get the value of WX.
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
The value of WX will be:-
WX = WM + MX
WX = 16 + 8
WX = 24
Therefore, the value of the side WX is equal to 24.
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plz answer and solve this question, I'm giving away 15 pts
Question:
x = a2 + b2/ab+1
Answer:
didg
Step-by-step explanation:
its -6
Answer:
This question is already solve in x,
No need to solve more, sir/maam
Is this the question,
24/48 as a whole number
Please help me find the area of this!!! 15 points!!
Answer:
[tex]A\approx1608.7\text{ yards}^2[/tex]
Step-by-step explanation:
We can use the alternate formula for the area of a triangle:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between the side lengths.
We know that one side length is 60 and the other is 70.
The angle between them is 50°.
So, substitute 60 for a, 70 for b, and 50° for C. This yields:
[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]
Evaluate using a calculator. Make sure you’re in Degrees Mode.
Therefore, the approximate area is:
[tex]A\approx1608.7\text{ yards}^2[/tex]
The square represents a scale model that was created by using a factor of 4. 8 ft 8 ft [Not drawn to scale] Which is true of the measures of the sides of the original square? Each side of the original square is 7 the length of each side of the scale model. O Each side of the original square is 4 times the length of each side of the scale m O Each side of the original salvare is the same length as each side of the scale ma
Answer:
B
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3)
Answer:
y= -1/2x+5
Step-by-step explanation:
u just have to use the y=mx+b form and youll be good
Hi anyone know the answer to this? Ill give brainliest immediately!!!! ^^^^^^^^
Answer:
y=x+4
Step-by-step explanation:
HTH :)
Answer:
y = x +4
Step-by-step explanation:
You know the y intecept because its on the y axis, and slop is rise over run
combine like terms:
-6s -11t -5s -3t
Answer: -11s & -14t
Step-by-step explanation:
Answer:
-11s - 14t
Step-by-step explanation:
-6s - 11t - 5s - 3t
= -11s - 14t
I NEED HELP ASAP
Answer these two questions I am confused. Number 17 and 18.
Answer:
Step-by-step explanation:
Question 17
y-y1 = m (x-x1 )
so basically you plug in the (x,y) to y1 and x1 place
Remeber always times it by -1
so answer would be
y-2 = -1/3 (x+4)
Question 18
Pretend its 3x+2y =8
you need to find x or y first im going to find y first
so
- 2y = -3x +8
divide by 2 to isolate y
y = -3/2x - 4
plug it back into the equation
3x + 2(-3/2x) - 4
the x will cancel
so y= -4
Then
plug in the -4 in place of y
SO the Answer is YES because y is horizontal there is -4 = there will be (-3, -4)!
Find the value of x in the triangle shown below
X=??
Answer:
109 degrees is the answer
Step-by-step explanation:
m<a+m<b+m<c=180 degrees
x+48+23=71
180-21=109 degrees for x.
Answer:
109
Step-by-step explanation:
So you do 48+23 which is 71 and then you do 180-71 which equals 109.
which coordinate is a solution for the system containing the equations y=x+3 and y=4x?
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = x + 3 → (1)
y = 4x → (2)
Substitute y = 4x into (1)
4x = x + 3 ( subtract x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 4x = 4 × 1 = 4
Solution is (1, 4 )
The graph of an exponential function has a y-intercept of 8 and contains the point (3,64). Find the exponential function that describes the graph.
Given:
Y-intercept of exponential function is 8.
It contains the point (3,64).
To find:
The exponential function that describes the graph.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
where, a is initial value or y-intercept and b is growth factor.
Since, y-intercept is 8, therefore, a=8.
Put a=8 in (i).
[tex]y=8b^x[/tex] ...(ii)
It contains the point (3,64). Put x=3 and y=64.
[tex]64=8b^3[/tex]
Divide both sides by 8.
[tex]\dfrac{64}{8}=b^3[/tex]
[tex]8=b^3[/tex]
[tex]2^3=b^3[/tex]
On comparing both sides, we get
[tex]b=2[/tex]
Put b=2 in (ii).
[tex]y=8(2)^x[/tex]
The functions form of this equation is
[tex]f(x)=8(2)^x[/tex]
Therefore, the required function is [tex]f(x)=8(2)^x[/tex].
Answer: Do you have a picture
Step-by-step explanation:
el área de un terreno rectangular es de 616 metros cuadrados si el largo del terreno mide 6 m más que el ancho cuáles son sus dimensiones
Answer:
length 28, width 22
Step-by-step explanation:
28 - 22 = 6, 28 x 22 = 616