Equation f (x) = |x| represent the Absolute Value Functions.
Parent Function :Parent functions are the simplest form of a given family of functions. A family of functions is a group of functions that share the same highest degree and, consequently, the same shape for their graphs.
Absolute Value Functions :
The parent function of absolute value functions is y = |x|. Absolute value functions are expected to return V-shaped graphs.
The vertex of y = |x| is found at the origin as well. Since it extends on both ends of the x-axis, y= |x| has a domain at (-∞, ∞). Absolute values can never be negative, so the parent function has a range of [0, ∞].
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find the measure of angle C of triangle ABC if:
Answer:
∠C = 180 - 3α
Step-by-step explanation:
The interior angles of a triangle always add up to 180°
So A + B + C = 180
C = 180 - (A + B)
= 180 - (α + 2α)
= 180 - 3α
Intern
Kenny ran 2400 m on Monday.
He ran 511 m less on Tuesday than on Monday.
How many metres did he run altogether on both days?
Answer: 4289
Step-by-step explanation:
Total = 2400+(2400-511) = 4289
−2 (x + 1/3) + 9x = 4
Answer:
X= 2/3
Step-by-step explanation:
-2(x+1/3)+9x=4
Distribute: -2x-2/3+9x=4
Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3
Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1
Divide: X=2/3 ------ 14/21÷ 7/7=2/3
X=2/3 Hope This Helps :)
Answer:
[tex] \sf \large \: x = \frac{2}{3} [/tex]
Step-by-step explanation:
−2(x+1/3)+9x=4
Step 1: Simplify both sides of the equation.
−2(x+1/3)+9x=4
(−2)(x)+(−2)(1/3)+9x=4(Distribute)
−2x+−2/3+9x=4
(−2x+9x)+(−2/3)=4(Combine Like Terms)
7x+−2/3=4
7x+−2/3=4
Step 2: Add 2/3 to both sides.
7x+−2/3+2/3=4+2/3
7x=14/3
Step 3: Divide both sides by 7.
7x/7 = 14/3/7
x=2/3
Are the following inverses of each other?
f(x) = 5x - 3
g(x) = 2+3
O No, the composition resulted in f(g(x)) =
= x
O Yes, the composition resulted in f(g(x)) = x
O No, the composition resulted in f(g(x)) = 0
O Yes, the composition resulted in f(g(x)) = 0
and g(f(x)): =x
and g(f(x)) = x
and g(f(x)) = 0
and g(f(x)) = 0
Help please i need it
Answer:
25 spells
Step-by-step explanation:
each colored box is 5 spells so count by five to see how many spells Ginny casts
The number of spells is 25, that the spells Ginny casts.
Here, we have,
from the given information we get,
we have to find that number spells that the spells Ginny casts.
we have,
the tape diagram gives that,
the ratio of luna and ginny is:=> 4 : 5
so, let , Ginny casts = 5x spells
luna casts = 4x spells
now, we have,
ATQ, 4x+5x = 45
=> 9x= 45
=> x = 45/9
=> x = 5
so, we get,
Ginny casts = 5*5 spells
= 25 spells
Hence, The number of spells is 25, that the spells Ginny casts.
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Which of the following is the graph of y = |x-3l?
Answer:
You only show one answer A. Lucky for you it's the correct one.
Step-by-step explanation:
Answer this question please
The inequality for 2/3 I 4v + 6 I - 2 ≤ 10 is -6≤v≤3.
Given the inequality is 2/3 I 4v + 6 I - 2 ≤ 10
Isolate the variable by dividing each side by factors that don't contain the variable.
2/3 I 4v + 6 I ≤ 10 +2
arrange the constants on the right side.
2/3 I4v + 6I ≤ 12
multiply the terms.
8v + 12/3 ≤ 12 or -8v - 12/3 ≤ 12
8v + 12 ≤ 36 or -8v -12 ≤ 36
8v ≤ 36 -12 or -8v ≤ 36 + 12
8v ≤ 24 or -8v ≤ 48
v ≤ 24/8 or v ≤ 48/8
v ≤ 3 or v≥-6
therefore, -6 ≤ v ≤ 3.
Hence the inequality is -6 ≤ v ≤ 3.
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What is 0.0001 as a
single digit times a
power of 10.
Answer:
[tex]10^{-4}[/tex]
Step-by-step explanation:
0.0001
1/10,000
1/[tex]10^{4}[/tex]
[tex]10^{-4}[/tex]
What is the slope of the tangent line for the function f(x)=2x^2-5x+1 at the point (1,-2)
A. -1
B.-9
C. 1
D. 0
E.9
This is given by the limit
[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]
Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives
[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]
so that
[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]
(A)
which expression is equivalent to 25s^3+12s/5s
Answer:
A
Step-by-step explanation:
1 Factor out the common term ss.
\frac{s(25{s}^{2}+12)}{5s}
5s
s(25s
2
+12)
2 Cancel s.
\frac{25{s}^{2}+12}{5}
5
25s
2
+12
+
e. The ratio of walnuts to peanuts in a can of mixed nuts is 3 to 5. There are
walnuts, peanuts, and cashews in the mix. The mix has 100 nuts in total. If
there are 18 walnuts, use a proportion and additional math to determine how
many cashews there are.
$2
3
The number of cashews in the can are 52.
Here, we are given that the ratio of walnuts to peanuts in a can of mixed nuts is 3 to 5.
⇒ walnuts : peanuts = 3 : 5
The number of walnuts in the packet are = 18
⇒ 18 : peanuts = 3 : 5
18/ peanuts = 3/5
peanuts = (5/3) × 18
peanuts = 30
Now, we know that the total number of nuts = 100
⇒ cashews + walnuts + peanuts = 100
cashews + 18 + 30 = 100
cashews + 48 = 100
cashews = 100 - 48
cashews = 52
Thus, the number of cashews in the can are 52.
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Help me solve it please and include step by step.
The slope of the line AC is equal to the slope of the line CE.
We have the points:
A = ( - 3 , 6 )
C = ( - 1 , 3 )
Slope of AC will be:
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )
m₁ = - 3 / 2
m₁ = - 1.5
Now,
C = ( - 1 , 3 )
E = (3 , - 3)
Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )
m₂ = - 6 / 4
m₂ = - 3 / 2
m₂ = - 1.5
So, we get that:
m₁ = m₂
Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.
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If anyone can help me with this I'd appreciate it a ton!
Thank you so much.
Answer:
help this yuo what is yuor problem
The perimeter of a rectangular field is 356 yards. If the width of the field is 79 yards, what is its length?
Answer:
length = 99 yards
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2(l + w) ← l is the length and w the width
given P = 356 and w = 79 , then
356 = 2(l + 79) ← divide both sides by 2
178 = l + 79 ( subtract 79 from both sides )
99 = l
the length of the field is 99 yards
Ellen wanted to buy the following items: A DVD player for $49.95 A DVD holder for $19.95 Personal stereo for $21.95. Does Ellen have enough money to buy all three items if she has $90?
Answer: no she dosen't
Step-by-step explanation:
If you were to add up all three numbers
49.95+19.95+21.95=91.85
Which means she is $1.85 short to buy all of the items
Match the Statement with the property that matches. A. R=R B. 5-P C. If 3 = x and y = -2 Then the expression y = x + b can be written as -2 = 3 + b D. a=4 Then it can be said that a = b E. DEIR then DF = LR F. VW - WY - VT Substitution Property Transitive Property Symmetric Property Reflexive Property Segment Addition Postulate Segment Congruence Postulate
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. a) R=R is a reflexive property.
b) 5-P Substitution Property, c) If 3 = x and y = -2 Then the expression y = x + b can be written as -2 = 3 + b is a substitution property, d) a=4 Then it can be said that a = b e)DEIR then DF = LR Segment Addition Postulate
f)VW - WY - VT is a Transitive Property
What is Expression?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
We have match the given expression with an appropriate property.
a) R=R is a reflexive property.
b) 5-P Substitution Property
c) If 3 = x and y = -2 Then the expression y = x + b can be written as -2 = 3 + b is a substitution property
d) a=4 Then it can be said that a = b
e)DEIR then DF = LR Segment Addition Postulate
f)VW - WY - VT is a Transitive Property
Therefore .a) R=R is a reflexive property. b) 5-P Substitution Property, c) If 3 = x and y = -2 Then the expression y = x + b can be written as -2 = 3 + b is a substitution property, d) a=4 Then it can be said that a = b e)DEIR then DF = LR Segment Addition Postulate f)VW - WY - VT is a Transitive Property.
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I've managed to find the area of the shape I just need help stating the units of my answer
solve for x 3x + 6y = 9
The median home price in the United States over the period 2003-2011 can be approximated by P(t) = −5t2 + 75t − 30 thousand dollars (3 ≤ t ≤ 11), where t is time in years since the start of 2000.†
Find P'(t) and P'(7).
P'(t) =
P'(7) =
What does the answer tell you about home prices? HINT [See Example 2.]
The median price of a home was increasing at a rate of $ ___ per year in ____.
The value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.
It is given that median home price is represented by P(t) = -5t² + 75t - 30.
We have to find out the values of P'(t) and P'(7).
What is differentiation ?
Differentiation is a method in which the function's rate of change compared to the rate of change of the independent variable is calculated.
As per the question ;
The equation given is ;
P(t) = -5t² + 75t - 30
So ;
Differentiating the above equation with respect to t , we get ;
[tex]\frac{d}{dt}[/tex] (P(t)) = [tex]\frac{d}{dt}[/tex] ( -5t² + 75t - 30 )
[tex]\frac{d}{dt}[/tex] (P(t)) = P'(t) = -5 × 2 × t + 75
⇒ P'(t) = -10t + 75
And
The value of P'(7) will be ;
P'( t = 7) = -10 × 7 + 75
P'(7) = - 70 + 75
P'(7) = 5
Also ;
P(11) = 190
P(3) = 150
And
The rate of change of price will be ;
[tex]\frac{P(11) - P(3)}{11 - 3}[/tex]
= 190 - 150 / 8
= 40 / 8
= 5
Thus , the value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.
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Devon Davies earns an annual salary of
$43,112.00.
What is his biweekly salary?
$829.08
Step-by-step explanation:
43,112 ÷ 52 = 829.08
C) g(x) = (4-5x)²
If it’s even or odd
Answer:
odd
Step-by-step explanation:
the answer is odd, my dead grandma just finished this question since she failed 7th grade.
The sun of 2,5, and a number amounts to 14. Find the number
Answer:
x=is the number searched
we have to solve this equation:
(2/5)x=14
x=14*5/2=35
35
Step-by-step explanation:
the plane that is defined by a fixed z coordinate and contains the point(1,2,3)
The plane where the point is located and which has a fixed z coordinate (1,2,3) is y=2x.
Given that,
The plane where the point is located and which has a fixed z- coordinate (1,2,3).
The plane has the point (1, 2, 3) and the z-axis.
Any plane that has the z-axis is of the type that (0,0,1)
Therefore, By cross product of the two points we can find the equation.
Let take a matrix with x,y and z
We can se in the picture there is a matrix.
We now find the determination of that matrix .
determination means the scalar value calculated for a given square matrix is the determinant of a matrix. The determinant is a concept in linear algebra, and its components are square matrixes. It can be viewed as the matrix transformation's scaling factor. useful for performing calculus operations, computing the inverse of a matrix, and solving systems of linear equations.
-2x+y=0
y=2x
Therefore, The plane where the point is located and which has a fixed z coordinate (1,2,3) is y=2x.
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28/48 simplified how do you simplify????????????????????
Answer: 14/24 or 7/12
Step-by-step explanation: keep on dividing 2 or just divide by 4
help plsssssssssssssssssssssssssssssss
Answer:
The answer is D
compare -3/4 and -5/16
A. -3/4 < -5/16
B. -3/4 > -5/16
C. -3/4 = -5/16
LCM can help us to compare the two of the given fractions. The correct option is A, -(3/4) < -(5/16).
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Bring both the terms to the same denominator for easy comparison. Now, since the LCM of 4 and 16 is 16. Therefore, we can write the two of the fractions as,
-(3/4) = -(3×4)/(4×4) = -12/16
-(5/16) = -5/16
Further, we can write the comparison of the two fractions as,
-12/16 < -5/16
-(3/4) < -(5/16)
Hence, the correct option is A, -(3/4) < -(5/16).
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Can someone answer these??
Find the probability of a point chosen at random being in the shaded area of the diagram at the right
Answer:
1/2
Step-by-step explanation: because it is shaded or not
Express the ratio below in its simplest form.
15:10
Answer:
3:2
Step-by-step explanation:
Divide 15 and 10 by 5.
f(x)=3x-3. find f(4)
Answer:
f(4)=9
Step-by-step explanation:
The given function is
F(x)=3x-3
so,
f(4)=3*4-3
f(4)=12-3
f(4)=9
putting 4 in place of x we get answer of the question.