Answer:
(3, 2)
Step-by-step explanation:
This is a system of equations so I'll solve it using the 'Addition method'.
3x - 2y = 5 | x + 2y = 7
Add the two equations together to get:
4x = 12
x = 3
Then we solve for y using the 2nd expression because it's easier.
3 + 2y = 7
2y = 4
y = 2
The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.
To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.
Steps to Find the Intersection
Rewrite each equation in standard form if necessary. The equations are already in standard form.Solve one of the equations for one of the variables. Let’s solve the second equation for x: x = 7 - 2y.Substitute the expression for x from step 2 into the first equation: 3(7 - 2y) - 2y = 5.Simplify and solve for y: 21 - 6y - 2y = 5, which simplifies to -8y = -16. Solving for y gives y = 2.Substitute the value of y back into one of the original equations to solve for x. Using the second equation: x + 2(2) = 7, simplifying gives x = 3.Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.
What’s 92508253 in words
92,508,253
Ninety-two million, five hundred eight thousand, two hundred fifty-three
Answer:
ninety-two million, five hundred eight thousand, two hundred fifty-three
The table shows the weights, in kilograms, of 8 polar bears.
453
553
471
358
467
262
352
364
What is the mean weight of the polar bears?
Answer:
410 kilograms
Step-by-step explanation:
The mean is another way to say average.
Add the weights of all the polar bears together
3,280 kilograms total.
Then divide by the total number of bears
3,280 / 8 = 410
Answer:
Mean=410
Step-by-step explanation:
Given that the table shows the weights, in kilograms, of 8 polar bears.
Now we need to find about what is the mean weight of the polar bears.
So we just need to add all the weights then divide the sum by 8 to get the mean weight.
[tex]Mean=\frac{453+553+471+358+467+262+352+364}{8}[/tex]
[tex]Mean=\frac{3280}{8}[/tex]
[tex]Mean=410[/tex]
Hence final answer is Mean=410.
find the geometric mean of 4 and 14
Answer:9
Step-by-step explanation: find the average
Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.) (0, -2) (5, -5) (-3, 4) (-4, 2)
Answer:
The correct answer is (0, -2) (5, -5) (-3, 4)
Step-by-step explanation:
The given inequality is x ≥ -3
To find the correct answers
1) (0, -2)
x ≥ -3
0 ≥ -3 TRUE
2) (5, -5)
x ≥ -3
0 ≥ -3 TRUE
3) (-3, 4)
x ≥ -3
0 ≥ -3 TRUE
4) (-4, -2)
x ≥ -3
5 ≥ -3 FALSE
Therefore the correct answer is (0, -2) (5, -5) (-3, 4)
Answer:
(0,-2)
(5,-5)
(-3,4)
Step-by-step explanation:
The given inequality is [tex]x\ge -3[/tex]
If any of this points is a solution, then it must satisfy the given inequality;
We substitute the first point (0,-2) to obtain;
[tex]0\ge -3[/tex]. This is true. hence (0,-2) is a solution.
We substitute the first point (5,-5) to obtain;
[tex]5\ge -3[/tex]. This is also true. Hence (5,-5) is a solution.
We substitute the first point (-3,4) to obtain;
[tex]-3\ge -3[/tex]. This is also true. Hence (-3,4) is a solution.
We substitute the first point (-4,2) to obtain;
[tex]-4\ge -3[/tex]. This is false. Hence (-4,2) is not a solution.
The first three options are correct.
i need help please thank you
Answer:
2 < x < 7
Step-by-step explanation:
2 is less than x can be written as ...
2 < x
7 is greater than x can be written as ...
7 > x
It can also be written with the expressions and symbol reversed:
x < 7
Then the two inequalities can be combined into one compound inequality:
2 < x < 7
Answer:
2-x + 7 > x
Step-by-step explanation:
A ball rolled 258 feet in 2 minutes.what was this balls average speed,in feet per second?
[tex]
d = 258ft \\
t = 2min = 2\cdot 60s = 120s \\
s = \frac{d}{t}=\frac{258ft}{120s}=\boxed{2.15\frac{ft}{s}}
[/tex]
Answer:
The balls average speed was 2.15 feet per second.
Hope this helps.
Step-by-step explanation:
There are 60 seconds in a minute, and there are 2 minutes so you add 60 and 60, which would give you 120 seconds. Then you would divide 258 by 120, which would give you 2.15
The area of the base of a rectangular prism is 18 cm2. The height of the prism is 9 1 2 cm. What is the volume of the prism? A) 27 1 2 cm3 B) 54 1 2 cm3 C) 84 3 4 cm3 D) 171 cm3 please answer quick
Multiply the area of the base by it's height.
18 x 9 1/2 = 171 cm^3
The answer is D.
Answer:
D) 171 cm3
Step-by-step explanation:
Find the surface area of this triangular prism Please help is appreciate it
Answer: 5,376in.
Step-by-step explanation:
Volume of a prism = Bh
B = 1/2bh
B = 7 x 24 = 168
168 x 32 = 5,376in.
1.
(07.04A)
Which of the sets of ordered pairs represents a function? (4 points)
A = {(1, −2), (3, −5), (5, 2), (7, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
Only A
Only B
Both A and B
Neither A nor B
Answer:
The answer is only A
happy to help
Set A represents a function because each element of its domain is paired with a unique element in the range. Set B does not represent a function because it has repeated first elements without unique corresponding second elements.
Explanation:The question asks which set of ordered pairs represents a function. A function is a special type of relation where each element of the domain (the first element in each ordered pair) is paired with a unique element in the range (the second element in each ordered pair). Analyzing option A, we see that each first element in the set A = {(1, −2), (3, −5), (5, 2), (7, 5)} is unique, which means it represents a function. However, for option B, we have repeated first elements in the set B = {(4, 2), (4, −2), (9, 3), (9, −3)}, which means it does not meet the criteria for a function as the first element, which belongs to the domain, is not mapped to a unique value in the range.
Match the terms to their definition.
Answer:
1. The number zero (0) is the additive identity for real numbers as adding it to any real number doesn't change the number.
2. a(b+c) = ab + ac or a(b-c) = ab-ac is the distributive property as a is distributed to b and then c.
3. An Equation with more than one variables is called literal equation. The variables are known in literal equations. These kind of equations are usually used to represent time, distance etc.
4. The number 1 is the multiplicative identity for real numbers as multiplying any real number with 1, other than zero, doesn't change the number.
5. The reciprocal of a number such that x is a number other than zero and 1/x is the reciprocal and the product of x and 1/x is equal to 1 then 1/x is called the multiplicative inverse of x.
Which expression is equivalent to sqrt 10 / 4 sqrt 8
Answer:
Step-by-step explanation:
Keep in mind that we want to eliminate the radical from the denominator. Note that the denominator is equal to
8^(1/4) = (2^3)^(1/4).
If we multiply the entire given expression by 2^(1/4), we get:
2^(1/4) √10
----------- * -----------------
2^(1/4) (2^3)^(1/4)
or
2^(1/4) √10 2^(1/4) · √10 2^(1/4) · 10^(2/4)
----------- * ----------------- = ---------------------- = ---------------------------
2^(1/4) (2^3)^(1/4) 2^(1/4 + 3/4) 2
2^(1/4) · 10^(2/4) 2^(1/4) · 100^(1/4) 200^(1/4)
= ------------------------------ = -------------------------- = --------------------
2 2 2
This result is the same as the first answer choice:
fourth root of 200 over 2
Answer:
A!!!!!!!
Step-by-step explanation:
The polygon angle sum theorem states that the sum of the measures of the interior angles of an n-gon is
n-2/180
(n-1) 180
180/n-1
(n-2) 180
Answer:
D.
Step-by-step explanation:
The formula is Sum(n) = (n -2) 180.
The polygon angle sum theorem states that the sum of the measures of the interior angles of an n-gon is (n-2) 180
What is a polygon or an n-gon?A polygon is a geometric figure with a finite number of sides in 2D. A polygon's sides are made up of straight-line segments. They are called as sides. The intersection of two line segments is known as the vertex and an angle is generated as result.
The term n-gon refers to polygon with n sides.
What are the interior angles of a Polygon or an n-gon?A polygon's interior angle is the angle formed between two adjacent sides of the polygon.
How to find the sum of the measures of the interior angles of an n-gon?We will take a pentagon(5 sides) and then we will try to generalize it to an n-gon(n sides) with the following steps:
In the figure let's take the vertex B and connect all the other vertices to it.Now, look there are a total of 3 triangles formed inside the pentagon.So, now we can say if we add connect all the vertices of an n-gon from a random vertex it will produce a total of (n-2) triangles in it.The sum of the interior angles of a triangle is 180°
Now, each triangle has the sum of interior angles of 180°,
so (n-2) triangles will have the sum of interior angles of (n-2)×180°.
Therefore, the sum of the measures of the interior angles of an n-gon is (n-2)×180.
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plzzz help me quick!!!
Answer:
A.) 8n - 359
Step-by-step explanation:
8(1) - 359 = -351
8(2) - 359 = -343
8(3) - 359 = -335
Please Help ASAP WILL GIVE BRAINLIEST AND 10 POINTS! THANKS
Answer:
15 pounds
Step-by-step explanation:
answers to the multiplication column
1
6
5
3
the addition will give the total number of pounds ordered which is (1+6+5+3) = 15 pounds
Probably simple math. 20 points.
ok well first you would find what the square root would be then you just see where it falls on the number line
so the sqrt of 29 is 5.38516... so it falls between 5 and 6.
so the answer is 5 and 6
it is in between 5 and 6
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w.r) (x)?
The range of (w.r)(x) is all real numbers.
Explanation:The range of (w.r)(x) can be found by substituting the value of x from w(x) into r(x). So, we have:
(w.r)(x) = r(w(x)) = 2 - (x - 2)^2 = 2 - (x^2 - 4x + 4) = 6 - x^2 + 4x.
Therefore, the range of (w.r)(x) is all real numbers.
In set builder notation Write a compound inequality to represent all of the numbers between -4 and 6. (example..... {x|2
For this case, we must represent the numbers that are included between -4 and 6. Let "x" be the variable that represents these numbers, then we have:
[tex]-4 <x <6[/tex]
If the set includes -4 and 6 then we have:
[tex]-4\leq x\leq 6[/tex]
Answer:
[tex]{x | -4 <x <6}[/tex] or
[tex]{x | -4\leq x\leq 6}[/tex]
there is a picture of Cube with the #6
Match each prism with its volume
here are the choices
36
45
60
216
250
546
Answer:
going down the picture
45
36
250
546
216
60
Step-by-step explanation:
What she said....... is what i was going to say but yes that person is correct
PLEASE HELP ASAP !!!! Drag each interval to a box to show if the function is increasing,decreasing,or neither over that interval. -9<×<-6, -6<×<-4, -4<×<-1, -13<×<-12, -12<×<-9. Increasing, Decreasing, Neither Increasing or Decreasing
Answer:
[tex]-13 <x <-12[/tex] Neither Increasing or Decreasing
[tex]-12 <x <-9[/tex] Increasing
[tex]-9 <x <-6[/tex] Decreasing
[tex]-6 <x <-4[/tex] Increasing
[tex]-4 <x <-1[/tex] Neither Increasing or Decreasing
Step-by-step explanation:
To know if the graph of a function is growing or decreasing you must use the graph to verify what happens when x increases.
If when x increases y decreases, then the function is decreasing.
If when x increases y increases, then the function is growing.
Let's look at the
First interval.
[tex]-13 <x <-12[/tex] Note that the value of y is always equal in this interval, therefore the function is not increasing or decreasing.
Second interval
[tex]-12 <x <-9[/tex]
Note that when x increases from -12 to -10, the value of y increases from y = 1 to y = 3.
Then the function is increasing in this interval
Third interval
[tex]-9 <x <-6[/tex]
Note that when x = -9 y= 8, but when x approaches -6 then y approaches 7.
Therefore in this interval the function is decreasing.
Fourth interval
[tex]-6 <x <-4[/tex]
When x = -6 y = 7 and at the end of the interval when x = -4 then y = 11
The function is increasing.
Fifth interval
[tex]-4 <x <-1[/tex]
The value of y remains constant throughout the interval. So the function is not increasing and it is not decreasing
Find the value of the expression.
Answer:
35 3/8
Step-by-step explanation:
[tex]\text{Hey there!}[/tex]
[tex]\frac{5}{(-1.5+9.5)}+\frac{0.4(7+11)}{-0.2}\\\\ \text{- 1.5 + 9.5 = 8}[/tex]
[tex]\frac{5}{8}+\frac{0.4(7+11)}{-0.2}[/tex]
[tex]\text{7 + 11 = 18}[/tex]
[tex]\frac{5}{8}+\frac{0.4(18)}{-0.2}[/tex]
[tex]\text{0.4(18) = 7.2}[/tex]
[tex]\frac{5}{8}+\frac{7.2}{-0.2}[/tex]
[tex]\frac{7.2}{-0.2}=-36[/tex]
[tex]\frac{5}{8}+(-36)=-36.375[/tex]
[tex]\boxed{\boxed{\bf{Answer:decimal\ form\rightarrow-35.375\ Fraction\ form:35\frac{3}{8}}}}[/tex] [tex]\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:}[/tex]
what is 2.8985 converted into a fraction
the answer is: (check the image the answer is on the image)
Answer:
2 1797/2000
Step-by-step explanation:
Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = - 2x² + 4x - 2
To find the y- intercept set x = 0
f(0) = 0 + 0 - 2 = - 2 ← y- intercept
The equation of the axis of symmetry is of the form x = c
where c is the value of the x- coordinate the line goes through.
Given the equation in standard form
with a = - 2, b = 4 then the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1
Equation of axis of symmetry is x = 1
Answer:
The y-intercept is -2
The equation of the axis of symmetry is x = 1
Step-by-step explanation:
* Lets revise the general form of the quadratic function
- The general form of the quadratic function is f(x) = ax² + bx + c,
where a, b , c are constant
# a is the coefficient of x²
# b is the coefficient of x
# c is the y-intercept
- The meaning of y-intercept is the graph of the function intersects
the y-axis at point (0 , c)
- The axis of symmetry of the function is a vertical line
(parallel to the y-axis) and passing through the vertex of the curve
- We can find the vertex (h , k) of the curve from a and b, where
h is the x-coordinate of the vertex and k is the y-coordinate of it
# h = -b/a and k = f(h)
- The equation of any vertical line is x = constant
- The axis of symmetry of the quadratic function passing through
the vertex then its equation is x = h
* Now lets solve the problem
∵ f(x) = -2x² + 4x - 2
∴ a = -2 , b = 4 , c = -2
∵ The y-intercept is c
∴ The y-intercept is -2
∵ h = -b/2a
∴ h = -4/2(-2) = -4/-4 = 1
∴ The equation of the axis of symmetry is x = 1
Rotate 90° clockwise about (0, 0) and translate 3 units right. Determine which rectangle was transformed to result in rectangle E.
A) rectangle A
B) rectangle B
C) rectangle C
D) rectangle D
So OK the answer is D rectangular
D rectangular hope this helps :)
Niko rides his bike 5,300 yards to his friends house. About how many miles does Niko ride?
Answer:
3.011364 miles
Step-by-step explanation:
length value divided by 1760
Answer:
3.011 miles
Step-by-step explanation:
5300 yds 3 ft 1 mi
--------------- * ----------- * ------------ = 3.011 miles
1 1 yd 5280 ft
Need answer please limited time
Answer:
x = 25
Step-by-step explanation:
4x+50 and 150 are vertical angles which means they are equal.
4x+50 =150
Subtract 50 from each side
4x+50-50 = 150-50
4x = 100
Divide each side by 4
4x/4 = 100/4
x = 25
The histogram shows the weekly attendance of participants in a school's study skills program. Student attendance numbers were the same during which two weeks of the workshop?
Student attendance numbers were the same during which two weeks of the workshop? B. weeks 2 and 4
Explanation:A histogram is the graphical display of data by using bars of different heights. Histograms provide a visual interpretation of numerical data by indicating the number of data points that lie within a range of values. Histogram was first introduced by Karl Pearson in 1891.
Some histograms presented with the independent variable along the vertical axis and dependent variable along the horizontal axis. The histogram attached below shows the weekly attendance of participants in a school's study skills program. In the histogram the x axis is number of weeks and y axis is number of students in attendance.
According to the histogram attached we can see that in week 1 the Student attendance was 8, in week 2 the Student attendance was 12, in week 3 the Student attendance was 15, in week 4 the Student attendance was 12, in week 5 the Student attendance was 18, in week 6 the Student attendance was 16. Hence the Student attendance numbers are the same during week 2 and 4 of the workshop. Therefore the correct option is B
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Student attendance numbers were the same in week 2 and 4
What is a histogram?A histogram is a graphical representation of data that uses bars of various heights. By showing how many data points fall inside a certain range of values, histograms provide numerical data a visual interpretation. Karl Pearson initially described the histogram in 1891.
In some histograms, the dependent variable is displayed along the horizontal axis and the independent variable is given along the vertical axis. Participants in a school's study skills program's weekly attendance are depicted in the histogram below. The number of weeks is on the histogram's x-axis and the number of students present is on the y-axis.
GIVEN
The histogram that is attached shows that the student attendance for the first week was 8, for the second week was 12, for the third week was 15, for the fourth week was 12, for the fifth week was 18, and for the sixth week was 16. Thus, the student attendance figures for weeks two and four of the program are identical.
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2, 6, 18, 54,....
Find the common ratio of the given sequence, and write an exponential function which represents the sequence. Use n = 1, 2, 3, ...
A) 3; f(n) = 2(3)n-1
B.) 1/3; f(x) = 2(3)n-1
C) 3; f(n) = 2(1/3)n-1
D). 1/3; f(n) = 2(1/3)n-1
Answer:i think it is c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3; f(n) = 2(3)n-1 is correct. Since each term is multiplied by 3 to get to the next term, the common ratio is 3. The common ratio is also the base of an exponential function.
A _____ angle has the same measure as its arc.
Answer:
central
Step-by-step explanation:
we know that
A central angle is an angle that forms when two radii are drawn from the center of a circle out to its circumference
so
A central angle has the same measure as its arc
0.001y^12 as a monomial
Answer:
Step-by-step explanation:
0.001y^12 has only one term and is thus a monomial. Are you sure you've shared the entire question?
Which expression is represented by the model?
A. X-3
B. X+3
C. -X-3
D.-X+3
first we know that the X is negative so we can ignore number A and B because they are positive.
Then we are left with two solutions and if you referred to the picture we know that whatever comes after has to be positive
So the correct answer is D
Answer:
D. -X + 3.
Step-by-step explanation:
There are 3 plus signs and a -x.