Step-by-step explanation:
Root of the function, where y = 0
f(x) = x² + 2x - 1
0 = x² + 2x - 1
x² + 2x - 1 = 0
x² + 2x = 1
x² + 2x + 1 = 1 + 1
(x + 1)² = 2
x + 1 = ±√2
x = -1 ± √2
Roots → x = -1 ± √2
The two interior angles that are not adjacent to an exterior angle are remote interior angles. TrueFalse
Answer:
true
Step-by-step explanation:
true
Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
I don't know sorry.
Sorry!
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
2/3 of 40
3/5 of 45
Yeah so answer that
Hi,
[tex] \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} [/tex]
[tex] \frac{2}{3} \times \frac{40}{1} = \frac{80}{3} [/tex]
2/3 of 40:
80/3
[tex] \frac{3}{5} \times \frac{45}{1} = \frac{135}{5} = 27[/tex]
3/5 of 45:
27
✅(. ❛ ᴗ ❛.)
Answer:
A= 26.67
B= 27
Step-by-step explanation:
2/3 x 40 = 26.67
(2×40= 80÷3 = 26.67)
and...
3/5 x 45 = 27
(3×45= 135÷5=27)
Hope this helped you- have a good day bro cya)
The polynomial x^3 + 8 is equal to?
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).
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:
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
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
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.
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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Look at the set of ordered pairs.
{(-8,3), (-6, 2), (-4,1),(-2, 0)}
Which of the following shows the correct
equation for the function represented by the
ordered pairs?
A: y=-0.5x-1
B: y=-2x-1
C: y=-1/4x+1
D: y=-2x-2
i put in -8,3 in each one only a and c were true
i put in -6, 2 in a and c and only a was true
answer : A
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]
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]
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
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
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
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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Does anybody know the answer or how to do this question bellow|−3+2|
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.
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.
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.
Learn more about the mathematical expression visit:
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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
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..?
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.
can someone help me with this sum please
Answer:
See below...
Step-by-step explanation:
v * 7x = 7vx
8c * 6e = 48ec
3a * 4a = 12a^2
8xw * 2w = 18xw^2
8mn * 3m^2n = 24m^3n^2
4acx * 5ax^2 * 6c = 120a^2c^2x^3
4m * 4n = 16mn
3x * 4x = 12x^2
5w * 3wx = 15w^2x
6c * 5ac^2 = 30ac^3
9wx^2 * 6w^2x = 54w^3x^3
9a^2c * 4ac^2e^3 = 36a^3c^3e^3
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.
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]
If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....
Answer:
A: 720 miles
Step-by-step explanation:
Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2
1 hour he will have driven 60 miles
Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours
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
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.