Answers
Answer:
The value of x will be:
[tex]x=-5[/tex]Step-by-step explanation:
Given the equation
[tex]4-2(x+7)=3(x+5)[/tex]
Multiply (or distribute) each term in parenthesis on L.H.S by -2, and multiply (or distribute) each term in parenthesis on R.H.S by 3.
[tex]4-2x-14=3x+15[/tex]
simplifying the equation by subtracting 14 from the L.H.S
[tex]-10-2x=3x+15[/tex]
Subtracting 15 from both sides
[tex]-10-2x-15=3x+15-15[/tex]
[tex]-25-2x=3x[/tex]
combining the like terms
[tex]-25=3x+2x[/tex]
[tex]-25=5x[/tex]
dividing both sides of the equation by 5
[tex]\frac{-25}{5}\:=\:\frac{5x}{5}[/tex]
[tex]-5=x[/tex]
Therefore, the value of x will be:
[tex]x=-5[/tex]Related Questions
In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.
Answers
Answer:
The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).
ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])
iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])
iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
The other options are “both” or “neither”
Answers
Answer:
Step-by-step explanation:
ΔABC ~ ΔWXY
What is 602,000,000 written in scientific notation
Answers
Answer:
6.02x10^8
Step-by-step explanation:
does a vertical line have zero slope?
Answers
Answer:
he slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
Answer: yes it’s undefined
Step-by-step explanation:
plz help me or i will literly start cying cuz i dont rly understand
Answers
Answer: Its very simple to solve slopes
Step-by-step explanation:
All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
Which of the following objects is considered to be two-dimensional because
it has length and width only?
A. Sphere
B. Rectangle
C. Ray
D. Point
Answers
(GIVING BRAINLIEST) During a snowstorm the temperature drops from 0 F to - 7 in 7 hours on average by how many degrees is the temperature changing per hour
Answers
Answer: A. 1*F
Step-by-step explanation:A-P-E-X
In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?
Answers
Answer:
.51
Step-by-step explanation:
Answer:
33/65
Step-by-step explanation:
(-2g + 7) - (g+11) =
Answers
The mean absolute deviation tells you how spread out or how clustered around the mean a set of data is. This is the variation in the data. To compare sets, a higher mean absolute deviation indicates that the data points are more spread out from the mean. A lower mean absolute deviation indicates dat
Answers
Answer:
data points or values are nearer to the mean
Step-by-step explanation:
Given that mean absolute deviation tells you how to spread out or how clustered around the mean a set of data is.
Hence, in a comparison of sets, a higher mean absolute deviation indicates that the data points are more spread out from the mean.
On the other hand, a lower mean absolute deviation indicates that the data points are nearer to the mean than a data set with a higher mean absolute deviation
Answer:
hes right ↑
Step-by-step explanation:
BLAHHH ANSWER PLEASEEE TYYYYYYYYYY
Answers
Answer:
is c
Step-by-step explanation: because its answer for the line
What is the slope of the line below
Answers
Answer:-1/2
Step-by-step explanation:
Look at the points
Please help I have no idea what the answer is
Answers
Answer:
x= 35 degrees
Step-by-step explanation:
The sum of the angles in a triangle are 180 degrees.
102+43=145
180-145=35
Answer:
35
Step-by-step explanation:
Remember
a triangles angles must sum up to 180 for it to be identified as a triangle.
no more no less
So add the other angles up and subtract from 180 to find your answer which is 35 :)
Find the unit rate.
297 words in 5.5 minutes
The unit rate is
words per minute.
yo please do it right. ill mark brainliest only if its correct
Answers
Answer:
Unit rate is 54 words per minute
Step-by-step explanation:
297 / 5.5
297 ÷ 5.5 = 54
Please help ASAP!!!!!!!!!!!
Answers
Answer:
5 and 4
Step-by-step explanation:
Which of the following is a true statement?
9/12 • 12/9 = 0
3/10 ÷ 7/9 = 3/10 • 9/7
4/5 • 4/5 = 1
1/2 ÷ 1/2 = 1/4
Answers
Answer:
3/10 ÷ 7/9 = 3/10 • 9/7
Step-by-step explanation:
KCF for division.
7/9= 9/7
÷=x
Answer:
3/10 ÷ 7/9 = 3/10 * 9/7
Step-by-step explanation:
Evaluate both sides you get 27/70 = 27/70
3/10 * 9/7 = 27/70
3/10 * 9/7 = 27/70
Wright a paragraph to prove that the measure of angle 1 is equal to the measure of angle 3?
Answers
40 pages read in 20 minutes. what is the unit rate?
Answers
Answer:
2 pages per minute.
Step-by-step explanation:
40 pages / 20 minutes
= 40 / 20 = 4 / 2 = 2
Therefore, you read 2 pages per minute.
If (m+n)^2=m^2+n^2, what is (3^m)^n?
Answers
Answer:
[tex](3^m)^n=1[/tex]
Step-by-step explanation:
[tex](m+n)^2=m^2+n^2\\m^2+2mn+n^2=m^2+n^2\\(m^2+n^2)-(m^2+n^2)+2mn=0\\2mn=0\\This\ equation\ has\ two\ solutions\ : m=0,n=0\\\\But\ either\ way\ will\ result\ in\ the\ same\ answer.\\If\ m=0\ then,\\(3^0)^n\\=1^n\\=1\\\\If\ n=0 \ then,\\(3^m)^0\\=1[/tex]
if f(x) = 245
Find f^-1(x) (the inverse)
Answers
9514 1404 393
Answer:
does not exist
Step-by-step explanation:
The notation f^-1(x) usually refers to the inverse function. That is, if we have the functional relation
y = f(x)
Then the inverse function f^-1(x) will give you ...
x = f^-1(y)
__
In order for an inverse function to exist, the original function must pass the "horizontal line test." That is, any horizontal line can intersect the function's graph in, at most, one point.
Here, the function f(x) = 245 is a horizontal line, so the horizontal line test fails. The horizontal line at y=245 will intersect f(x) in an infinite number of points.
So, f(x) = 245 does not have an inverse function. f^-1(x) does not exist.
_____
Alternate interpretation of the question
Sometimes, an exponent is applied to a function name when the intended operation is application of the exponent to the function value. For example, you may see sin²(x) when the intended meaning is sin(x)². The application of an exponent to the function name could be confused with multiple applications of the function: sin²(x) = sin(sin(x)), as the notation is sometimes used for this purpose, too.
If what you intend by f^-1(x) is really f(x)^-1, then you can say ...
f(x)^-1 = 1/245
Wednesday morning, the temperature was −12 ∘F. By the afternoon, the temperature was 23 ∘F. Write and then evaluate a subtraction expression to determine the number of degrees of change in temperature between the morning and the afternoon
Answers
Answer:
-12-(-23)
Step-by-step explanation:
2 subtraction signs will turn into addition
Shaq invested $900 into a savings account that pays annual simple interest. At the end of 9 years, he earned $461.70 in interest. What is the interest rate on the savings account? Round to the nearest tenth of a percent.
Answers
Answer:
0.051
Step-by-step explanation:
name the line of intersection of planes of GABH and FEHG
Answers
Answer: line HG
Step-by-step explanation:
The line which is intersecting the planes of GABH and FEHG will be line GH.
What is a geometrical figure?A collection of continuous, non-empty points that together form inextensible, non-deformable shapes are known as geometric figures.
A figure or region with a defined border that is formed by combining a specific number of curves, points, and lines is referred to as a geometric shape.
Another meaning of the geometrical figure is the figure which is in 2D and becomes by intersections of lines.
Given two plans GABH and FEHG
It is clearly visible that both plans are intersecting and separated by a line GH.
To learn more about the geometrical figure,
https://brainly.com/question/2778048
#SPJ2
Line A: y = 1 2 x + 2 Line B: y = − 1 2 x + 7 Line C: y = −2x + 4 Line D: y = 1 2 x + 5 4 Which lines are perpendicular? A) A and B B) A and C C) B and C D) A and D
Answers
Answer:
Check the explanation.
Step-by-step explanation:
The slope-intercept form of the equation is
[tex]y=mx + b[/tex]
where m is the slopeb is the y-interceptLine A:
[tex]y = 1 2 x + 2[/tex]
The slope of line A:
[tex]m_A=12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line B:
[tex]y = -1 2 x + 7[/tex]
[tex]m_B=-12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line C:
[tex]y = -2x + 4[/tex]
[tex]m_C=-2[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line D:
[tex]y = 12x + 5 4[/tex]
[tex]m_D=12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
As we know that the product of the slopes of perpendicular lines is -1.
i.e. their slopes are opposite of the reciprocal of each other.
Now, let us check the OPTIONS:
Option A) A and B
Check:
[tex]m_A=12[/tex]
[tex]m_B=-12[/tex]
As the product of the slopes A and B is NOT -1, so the lines A and B are not perpendicular. Hence, option A is NOT true.
Option B) A and C
[tex]m_A=12[/tex]
[tex]m_C=-2[/tex]
As the product of the slopes A and C is NOT -1, so the lines A and C are not perpendicular. Hence, option B is NOT true.
Option C) B and C
[tex]m_B=-12[/tex]
[tex]m_C=-2[/tex]
As the product of the slopes B and C is NOT -1, so the lines B and C are not perpendicular. Hence, option C is NOT true.
Option D) A and D
[tex]m_A=12[/tex]
[tex]m_D=12[/tex]
As the product of the slopes A and D is NOT -1, so the lines A and D are not perpendicular. Hence, option D is NOT true.
Therefore, NO OPTION is correct.
Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari's age and Natalie's age is the same as the sum of Courtney's age and Andre's age. The equation below represents their ages.
Answers
The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.
Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:
C = 2A
C = N + 3
C = S/2
S - N = C + A
S = 2C, N = C - 3 and A = C/2, therefore we have
2C - (C - 3) = C + C/2
C + 3 = C + C/2
C/2 = 3 and C = 6
A = C/2
A= 6/2
A = 3
N = C - 3
N = 6 - 3
N = 3
S = 2C
S = 2 x 6
S = 12.
C = 6, A = 3, N = 3 and S = 12
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?
A. Find the 4th term when the first term is 7 and the common difference is -2.
B.Find the 7th term when the first term is -1 and the common difference is 10.
C.Find the 106th term when the first term is 2 and the common difference is 5.
D.Find the 11th term when the first term is -3 and the common difference is 4.
Answers
9514 1404 393
Answer:
all of them, possibly excepting the 4th term
Step-by-step explanation:
The recursive formula is good if you have terms near the one of interest. It might be used for the 4th term, but that would require that you compute the three previous terms:
7, 5, 3, 1 . . . . requires 3 subtractions
It can be about as easy to calculate ...
a4 = 7 -2(3) = 1 . . . . requires two* subtractions and a multiplication
__
However, for the 7th, 11th, and 106th terms, it is impractical to list all previous terms. The explicit formula is a better choice.
A. a4 = 7 -2(3) = 1
B. a7 = -1 +10(6) = 59
C. a106 = 2 +5(105) = 527
D. a11 = -3 +4(10) = 37
_____
* The explicit formula is ...
an = a1 +d(n -1)
The operations identified in this formula (in the order required by the Order of Operations) are subtraction, multiplication, and addition. For a negative common difference, that amounts to two subtractions and a multiplication.
For manual evaluation, the work involved in using the recursive or explicit formulas for the 4th term is about the same, if the arithmetic is easily done mentally (as here).
by 8:00 a.m., the snack bar had made $3,256 in sales. By noon, the snack bar's total sales were $8,821. On average how much money did the snack bar take in each hour between 8:00 a.m. and noon?
Answers
Answer:
$1,391.25
Step-by-step explanation:
Noon would be 12:00 PM which would be 4 hours ahead of 8:00 AM
We subtract $8,821 by $3,256 to get the amount earned between 8:00 AM and 12:00 PM
$8,821 - $3,256
= $5,565
The find the average taken in within those 4 hours we will have to divide the money earned by the hours
$5,565/4
= $1,391.25
Is this correct if not what’s the answer
Answers
Answer:
They are congruent by SSS.
Step-by-step explanation:
9514 1404 393
Answer:
≅reflexiveQRcongruentStep-by-step explanation:
A geometrical object is congruent to itself by the reflexive property of congruence.
RT ≅ RT by the reflexive property
__
Your other choices are correct.
Write a system of equations with the solution of (4,2,0)
Answers
Answer:
x=4, y=2, z=0
Step-by-step explanation:
The most symple is x=4, y=2, z=0 b/c the coordinate pairs equate to (x, y, z,)
What is the value of the expression below?
3.5 x 3 over 10
Answers
1.05.......................
Answer:
1.05 or 21/20 or 1 1/20
Step-by-step explanation:
I'm just a genius