What is the slope of the function, represented by the table of values below?
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 10) and (x₂, y₂ ) = (8, - 10) ← 2 ordered pairs from the table
m = [tex]\frac{-10-10}{8-(-2)}[/tex] = [tex]\frac{-20}{8+2}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2 → B
Mallika and Kishore have the same numbser o marbles. To have 100 marbles they must pool their marbles together and then gset 30 more. " which equation represents the above relationship?
Number of marbles with Mallika = x
Number of marbles with Kishore = x (same number of marbles)
To get 100 marbles = x + x + 30
=》x + x + 30 = 100
2x + 30 = 100
2x = 100 - 30
2x = 70
x = 70/2
x = 35
■ Final answer =》Mallika & Kishore both have 35 marbles each.
■ Equation =》2x + 30 = 100
■ Equation type =》Linear equation in 1 variable
______
Hope it helps ⚜
The equation for the given situation will be;
⇒ 2x + 30 = 100
Where, 'x' is represent the number of marbles.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mallika and Kishore have the same number of marbles.
And, To have 100 marbles they must pool their marbles together and then get 30 more.
Now,
Since, Mallika and Kishore have the same number of marbles.
Hence, Let the number of marbles = x
So, We can formulate;
⇒ x + x + 30 = 100
⇒ 2x + 30 = 100
⇒ 2x = 100 - 30
⇒ 2x = 70
⇒ x = 35
Thus, Number of marbles each have = 35
And, The equation for the given situation will be;
⇒ 2x + 30 = 100
Where, 'x' is represent the number of marbles.
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15. (07.05 MC)
What is the solution to the equation 5x + 2(x - 4) = 5x + X - 10?
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
→ Expand the brackets
5x + 2x - 8 = 5x + x - 10
→ Collect the x terms
7x - 8 = 6x - 10
→ Minus 6x from both sides
x - 8 = -10
→ Add -8 to both sides
x = -2
someone help me do this
Answer:
12 children
Step-by-step explanation:
For this problem we can look for the GCF
The 60's factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 60
Pretty sure you get it now
Anyways once we've done all of the Factoring we can look for the GCF
Which we would get as twelve
So the supplies can be distributed amongst 12 children equally
Sprinters who run 100 yards now often run 100 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
Enter the correct answer in the box.
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.
among 240 students it was fount three - fourth of the students preferred to play hockey and one-eighth of the students preferred to play cricket the number of students whole prefer to play hockey and cricket respectively are.
a) 180 and 30 b) 40 and 180
c) 180 and 40. d) none of these
I will give you brainliest
Which equation represents the sentence?
The sum of 10 and a number is 3 times the number.
10 + n = 3n
10 + n = 3 + n
10 + 3n = n
10(n + 3) = n
Answer:
the first one
10+n = 3n
Step-by-step explanation:
n is the number
and 3n means 3*n
Answer: the answer the first one 10+n=3n
Step-by-step explanation:
n is the number
and 3n means 3*n
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
A. northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
B. northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
C. northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
D. northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
Answer:
D Option is the correct one.
Step-by-step explanation:
As,
Distance covered = 40km = 40000m(1k=1000m)
time = 10:15-9:00 = 1:15hours = 75mins
We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.
For calculating distance for one hour,
40000/75 = 533.33m/min (means they covered 533.33m distance in one min)
for one hour:
533.33*60= 32000m = 32km
They covered 32km distance in one hour.
Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.
So for A,
Sum = 19 + 15 =34 (wrong not equal to 32)
For B,
Sum = 18 + 13 = 31 (wrong)
For C,
Sum = 16 + 10 = 26(wrong)
For D,
Sum = 18 + 14 = 32 (Right)
And second distance b/w both distance is 4km.
18-14 = 4(Right)
So, D option is the right one.
I hope it will help you.
Quadrilateral JKLM with vertices J(2, 10),
K(8,9), L(7,4), and M(3, 4):
J
k = 2, centered at (4,7)
Given:
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Please answer this question. No links :)
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex]
Initially, as X increases, Y stays constant.
Then, between x = 3 and x = 5, the graph rises by 4 and runs by 2, or rises by 2 and runs by 1, so the slope is 2.
Between x = 5 and x = 9, the graph "rises" by -1 and runs by 1, so the slope is -1.
The greatest value of y is 4 at x = 5. (5, 4)
Answer:
Initially, as x increases, y remains constant.
Afterward, the slope of the graph of the function is equal to 2 for all x between x = 3 and x = 5.
The slope of the graph is equal to -1 between x = 5 and x = 9.
The greatest value of y = 4, and it occurs when x = 5.
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex]
The rise is how much it increases by y (up or down), and the run is how much it increases by x (right or left).
From 3-5 the slope = [tex]\frac{4}{2}[/tex] = 2 → it goes up 2 units for every one unit right.
From 5-9 the slope = [tex]\frac{-4}{4}[/tex] = -1 → it goes down (-) 1 unit for every one unit right.
The two interior angles that are not adjacent to an exterior angle are remote interior angles. TrueFalse
Answer:
true
Step-by-step explanation:
true
Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(
The reflection of the triangle JKL across the line x = 4 is equivalent to
equivalent to flipping the preimage across the line x = 4.
The correct coordinates are;
[tex]\underline{J'(7, \, -1)}[/tex]
[tex]\underline{K'(6, \, 3)}[/tex]
[tex]\underline{L'(5, -2)}[/tex]
Reasons:
The given transformation is a reflection about the line x = 4
The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4
The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3
Which gives;
Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7
Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]
Similarly, we have;
Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6
The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]
Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6
The coordinate of the point L' is [tex]\underline{L'(5, -2)}[/tex]
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Find the value of X in the following 3x+4=25
The answer is 7
Step-by-step explanation:
subtract 4 from 25 which is 21 than divide by 3 getting x =7
Answer:
x=7
Step-by-step explanation:
3x+4=25
3x=25–4
3x=21
X=21÷3
X=7
What is the slope of the line below ? [ question 4/0 ]
Answer:
2/3
Step-by-step explanation:
[] Since is the line is going up from bottom-left to top-right, we know it will be positive
[] Because this graph has distinctive coordinate-points, we can use rise over run
() The other method is to use the change in y divided by the change in x
We start at (-2, 0), then count 2 up and 3 over to get to (2, 1) which gives us a slope of 2/3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
HELP!!! need answers for these questions please. Thank You for anyone who solves atleast one of them!
5. 4/9 probability
Explanation; You would do (4/13)/(9/13) and that = 4/9.
5b. I don't really get it, it sounds like its asking the same thing.
I gotta go so i will finish later hopefully
Evaluate.
(−1/3+0.3(−1/3)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer: 1.133333
Step-by-step explanation:
The value of the expression [tex]\frac{17}{15}[/tex] .
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. Fraction questions in mathematics frequently require lengthy calculations and complicated sums. Some pupils find it more challenging and require more time to solve. But don't worry—there is a solution for you in this article on math simplification. It will assist you in finding simple ways to simplify fractions. You'll discover what simplification is, how and where to simplify fractions, and the procedures involved in simplifying fractions in this article. Additionally, you'll learn the exact steps to take.
Here, do normal simplification using BODMAS rule.
Hence, the required value is [tex]\frac{17}{15}[/tex]
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Rewrite in simplest terms: -5(3u+1)+10u−5(3u+1)+10u
Answer:
-10u-10
Step-by-step explanation:
PLS HELP AMSWER ANYONE PLS ILL GIVE BRAINLKEST THANKS
Answer:
5. w ≠ 8
Step-by-step explanation:
#1 is the expression for "The amount of water is greater than eight ounces." This technically means it differs from eight ounces, but it's too specific for what the question is asking.
#2 is the expression for "The amount of water is greater than or equal to eight ounces." It doesn't necessarily differ from eight ounces.
#3 is the expression for "The amount of water is less than eight ounces." Same issue as #1.
#4 is the expression for "The amount of water is greater than eight ounces." Same issue as #2.
#5 is the expression for "The amount of water is not equal to eight ounces." This is the correct expression as the only information we know is that it's not eight ounces.
I just need help with these 3
Answer:
1) 11c
2) 9m - 14
3) 4x - 5
-----
4) x = 4
5) x = 2
Step-by-step explanation:
1)
10c + c
11c
2)
5m + 2( 2m - 7 )
5m + 4m - 14
9m - 14
3)
6x - ( 2x + 5 )
6x - 2x - 5
4x - 5
-----
4)
3x + 7 = -5
3x = 12
x = 4
5)
18 = 4x + 10
8 = 4x
2 = x
Hopefully this helps!
Brainliest please?
Answer:
Step-by-step explanation:
Write a two paragraph summary of what you are learning in your current math class.
Answer:
what are you even learning?
Answer:
what is your topic in math class..?
I need help please! It’s due tonight and I don’t know.
Answer:
i think the first question is yes and the second one is no
Step-by-step explanation:
Make n the subject of the formula
m = 5 n - 21
-----------------------------------------------------------
Can someone please help and explain!!
Incorrect or incomplete answers will be reported
Answer:
[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
Step-by-step explanation:
To make "n" the subject of the formula, rearrange the formula so it begins with " n = "
To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.
=> m = 5n - 21
there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.=> m + 21 = 5n - 21 + 21
=> m+ 21 = 5n
There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
whats the answer for this??
Step-by-step explanation:
what do you mean "what's the answer for this ?"
you only need to put 3 in place of x (that's what is meant by "x is 3" or x = 3) and then simply calculate.
you know what "squaring" ("something to the power of 2" or x²) means ? it means that you have to multiply that "something" by itself.
y = 3² + 11 = 3×3 + 11 = 9 + 11 = 20
that's all there is to this.
In AFGH, GH = FG and mZF = 10°. Find mZH.
Answer:
f(x)= 40x
Step-by-step explanation:
Hope this helps, have a nice day/night! :D
which of the following is the slope of a line perpendicular to the line defined by y-2=3x
Step-by-step explanation:
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y=mx+
lb
Where
m
is the slope and
b
is the y-intercept value.
y
=
−
4
x
+
1
Therefore, the slope of the line represented by the equation in the problem is:
m
=
−
4
Let's call the slope of a perpendicular line:
m
p
The slope of a perpendicular line is:
m
p
=
−
1
m
Substituting gives:
mp=
[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]
Select all of the equations below that are equivalent to:
m + 17 = 18
Use properties of equality.
m + 7 = 18 - 12
m + 6 = 18 - 10
m + 17 - 2 = 17
m + 13 = 18 - 4
Submit
Work it out
The equivalent expression will be;
⇒ m + 13 = 18 - 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ m + 17 = 18
Now,
Since, The expression is,
⇒ m + 17 = 18
Solve for m as;
⇒ m + 17 - 17 = 18 - 17
⇒ m = 1
For option (i);
The expression is,
⇒ m + 7 = 18 - 12
⇒ m + 7 = 6
⇒ m = - 1
For option (ii);
The expression is,
⇒ m + 6 = 18 - 10
⇒ m + 6 = 8
⇒ m = 2
For option (iii);
The expression is,
⇒ m + 17 - 2 = 17
⇒ m + 15 = 17
⇒ m = 2
For option (iv);
The expression is,
⇒ m + 13 = 18 - 4
⇒ m + 13 = 14
⇒ m = 1
Thus, The equivalent expression is,
⇒ m + 13 = 18 - 4
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The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).
What is equivalent expression?An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.
The equivalent expression is calculated as
m + 17 = 18
Solve for m as;
m + 17 - 17 = 18 - 17
m = 1
So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.
Solving for option (1)
m + 7 = 18 - 12
m = -1
Solving for option (4)
m + 13 = 18 - 4
m + 13 = 14
m = 1
Thus, the equivalent expression is m + 13 = 18 - 4
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For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5 [tex]\leq[/tex] x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.
Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer..
Answer:
Length of side of square=25ftLength of three sides=3(25)=75ft
3ft=1m75ft=15mCost per metre=15.00
Total cost:-
[tex]\\ \sf\longmapsto 15(15)=225.00[/tex]
The polynomial x^3 + 8 is equal to?
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).
Does anybody know the answer or how to do this question bellow|−3+2|