Final answer:
Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.
Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.
Step-by-step explanation:
Step 1
It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.
Step 2
This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.
Which steps would prove the circles similar?
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
The steps needed is :Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
What is dilation?Dilation is a transformation, which is used to resize the object.
As the radius of big circle is 6 then the dilation should be scale factor 3.
As well as they should share the same center.
The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
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evaluate the expression when a= -7 and b=4 for 3b-a
Step-by-step explanation:
By putting value of a and b in 3b-a
The value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 3b - a
Plug a = -7 and b = 4
= 3(4) - (-7)
= 12+7
= 19
Thus, the value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.
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Write the logarithmic expression as a single logarithm.
Answer:
[tex]\log_48[/tex]
Step-by-step explanation:
[tex]\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48[/tex]
Which relation below represents a one-to-one function?
A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197.
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5.
A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11.
The relation that represents a one-to-one function is
A. x with entries 5, 14, 7, 13, 12.
f(x) with entries 26, 197, 50, 170, 197.
Option A is the correct answer.
We have,
A one-to-one function is a function that has one output for one input.
Now,
A.
x with entries 5, 14, 7, 13, 12.
f x) with entries 26, 197, 50, 170, 197.
This is a one-to-one function.
B.
x with entries -2, -1, 0, 1, 2.
f(x) with entries 5, 2, 1, 2, 5.
This is not a one-to-one function.
The x values -1 and 1 have the same f(x) value 2.
C.
x with entries 7.25, 7.5, 7.75, 8, 8.5.
f(x) with entries 11, 13, 15, 13, 11.
This is not a one-to-one function.
The x values 7.25 and 8.5 have the same f(x) value 11.
Thus,
The relation that represents a one-to-one function is
A. x with entries 5, 14, 7, 13, 12.
f(x) with entries 26, 197, 50, 170, 197.
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Which point corresponds to the real zero of the graph of y = log2 (x + 2) - 1?
Answer:
(0, 0)
Step-by-step explanation:
Ok so you have the equation: [tex]y = log_2{(x+2)}-1[/tex]. To find the zero you simply set the y equal to zero and then solve for x
[tex]0 = log_2{(x+2)}-1[/tex]
Add 1 to both sides
[tex]1 = log_2{x+2}[/tex]
Rewrite the equation in exponential form:
[tex]2^1=x+2[/tex]
Subtract 2 from both sides
[tex]0 = x[/tex]
So the zero of the function is at the origin (0, 0)
Simplify the expression 3-8 × 34.
Answer:
3-8x 34= -5x 34 = -170
Step-by-step explanation:
Look at the figure. How many different labeled rays are shown?
A.)2
B.)10
C.)20
D.)8
approximate the value of 3^3x when x+1 using the first six terms of the Maclaurin expansion
Answer:
x could be anything but might be 3<4 or 5?8 u really never kno
Property taxes are based on the value of the property
Based on the calculations, the average selling price for these properties is equal to $127,865.
How to determine the average selling price?Mathematically, the average selling price for these properties would be calculated by using the following formula:
Average price = [F(x)]/n
Note: The total number of properties is equal to 5.
Substituting the given parameters into the formula, we have;
Average price = [118,450 + 126,500 + 128,000 + 130,425 + 135,950]/5
Average price = 639,325/5
Average price = $127,865.
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Complete Question:
Property taxes are based on the value of the property. city officials use the average selling price of similar properties to estimate the value. the selling prices of similar properties are listed below. $118,450 $126,500 $128,000 $130,425 $135,950. What is the average selling price?
what is the value of the expression below when x= 2? for y²-2y+10
Answer:
I think its y = 2.
Then, your answer will be 10.
Step-by-step explanation:
y²- 2y + 10
=2² - 2.2 + 10
=4 - 4 + 10
=10 ans.
Hope its helpful!
Answer:
If y = 2.
Your answer is 10.
Step-by-step explanation:
y²- 2y + 10
=2² - 2.2 + 10
=4 - 4 + 10
=10 ans.
Hope its helpful!
You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair.
How many legs are on the ground?
Answer:
28
Step-by-step explanation:
1 dog = 4 legs, 2 dogs = 8 legs
1 horse = 4 legs, 4 horses = 16 legs
1 giraffe = 4 legs.
So we need to add "2 dogs = 8 legs", "4 horses = 16 legs", and 1 giraffe = 4 legs.
(8 + 16 + 4)
We get the final answer: 28
Which function is the inverse of if the domain of f(x) is x ≥ 0?
The question was incomplete. Please find full content below.
Which function is the inverse of
[tex]f(x)=x^2-16[/tex]
if the domain of f(x) is x ≥ 0?
The inverse funtion of the given function is given by
[tex]\mathbf{f(x)=\sqrt{x+16}}[/tex]
where the domain is x ≥ -16.
Given the function is,
[tex]f(x) =x^2-16[/tex]
Let, y = f(x)
[tex]y = x^2-16[/tex]
Adding 16 to both sides we get,
[tex]y + 16 = {x}^{2} - 16 + 16[/tex]
[tex] {x}^{2} = y + 16[/tex]
Now, square rooting to both sides we get, since x ≥ 0
[tex]\sqrt{x^2}=\sqrt{y+16}[/tex]
[tex]x=\sqrt{y+16}[/tex]
[tex]f^{-1}(y)=\sqrt{y+16}[/tex]
Hence substituting x in place of y,
[tex]f^{-1}(x)=\sqrt{x+16}[/tex]
Above function is the required inverse function where the domain of that is given by, x ≥ -16.
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Eight more than seven times a number is equal to four more than five times the number. What is the number?
Answer: -2
Step-by-step explanation:
convert it to a equation:
7x+8=5x+4
move x's to a side and numbers to the other
2x=-4
divide by 2
x=-2
Let us consider the number to be 'n'.
Given condition :
7n + 8 = 5n + 4Subtract '5n' from each side :
7n + 8 - 5n = 5n + 4 - 5n2n + 8 = 4Subtract '8' from each side :
2n + 8 - 8 = 4 - 82n = -4Divide '2' from each side :
2n/2 = -4/2[tex]\fbox {n = -2}[/tex]∴ The number is -2.
Linda needs to buy pencils brands has a pack of 28 pencils for 5.29 brand b has a pack of 48 pencils for 8.47 find the unit price for each brand.
Answer:
Brand A is the best buy.
Step-by-step explanation:
Brand A has a pack of 28 pencils for 5.29 dollars. This means that the unit cost of one pencil in Brand A would be 5.29/28 = 0.2$ per pencil rounded up to the nearest tenth.Brand B has a pack of 48 pencils for 8.47 dollars. This means that the unit cost of one pencil in Brand B would be 8.47/48 = $0.8 per pencil rounded up to the nearest tenth.Since $0.2 is lesser than $0.8, it means that Brand A is the best buy.
Cost of a computer game: $32.00
Markup: 20%
Answer:
38.4
Step-by-step explanation:
32×%20=6.4
32+6.4=38.4 new price
What is the inverse of function f?
F(x) =3-x/7
Answer:
the answer is (D) F-1 (X) = 7x - 3
Step-by-step explanation:
11
24
1
4
I’m very lost with this one can anyone answer this for me please
Answer:
So let start with 1/4 simplest form of that would be 9/4 and for 11/24 simplest would be just that so now we got 11/24 - 9/4 = 1/72
Step-by-step explanation:
11/24
4/9
now we do 11 x 9 equals 99 so now 4 x 24 = 96
now we take the two new denominators2 24 and 9
and we do 24 x 9 = 216 so now we got
99/216
96/216
now 99 - 96 is 3 so we got a new fraction
3/216 now we just simplify that so we get 1/72
Find the value of b.
Answer: [tex]230^{\circ[/tex]
Step-by-step explanation:
For convenience, I labeled some points as shown in the attached picture.
Also, I assume [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] are tangents to the circle.
[tex]\overline{BO} \cong \overline{BO}[/tex] (reflexive property)[tex]\overline{AB} \cong \overline{BC}[/tex] (tangents drawn from a common external point are congruent)[tex]\angle BAO \cong \angle BCO[/tex] (right angles are congruent)Therefore, we know [tex]\triangle ABO \cong \triangle CBO[/tex] by HL.
Thus, by CPCTC,
[tex]\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}[/tex]
This means the measure of minor arc AC is [tex]130^{\circ}[/tex], and thus [tex]b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}[/tex]
You are buying a used car which costs $10,200. You plan to sell the car after keeping it for 5 years. Research shows that this car will lose value at a rate of 8% per year. How much will the car be worth after 5 years?
Answer:
$6,722.63
Step-by-step explanation:
Now: $10,200
In 1 year: 0.92 × $10,200 = $9,384
In 2 years: 0.92 × $9,384 = $8,633.28
In 3 years: 0.92 × $8,633.28 = $7,942.6176
In 4 years: 0.92 × $7,942.6176 = $7,307.208192
In 5 years: 0.92 × $7,307.208192 = $6,722.63
Answer: $6,722.63
Answer:
$6,722.63
Step-by-step explanation:
Using this formula A=P(1-d/100)^n where
A = Amount
P = Principal
d = percent
n = number of year
A=P(1-d/100)^n
A = 10,200(1-8/100)⁵
A = 10,200(1-0.08)⁵
A = 10,200(0.92)⁵
A = 10,200(0.6591)
A= $6,722.63
7.
At the metal-casting company where you work, you must
set up a conveyor system to move castings from the furnace
to the heat treatment area 55 yards away. The castings cool
at the rate of 0.3°F (degrees Fahrenheit) per second and
must not be allowed to cool more than 7°F before being
heat treated. What is the minimum speed, in feet per
second, that the conveyor must move?
Answer:
xxfdjdjwkoq9w Woow Kike sosl
Joe piad $5 for a burger. He has more than $25 left. How much money did he have before buying the burger?
Answer:
More than 30 dollars
Step-by-step explanation:
This situation can be described with the inequality:
x - 5 > 25
1. Add 5 to both sides
2. X > 30
When using three letters to name an angle, the middle letter represents the ____.
Answer:
Vertex
Step-by-step explanation:
Vertex is the 'point' of an angle
11. Name a pair of complementary angles in this figure.
angles DEF and DEH
angles DEH and HEJ
angles DEH and DEK
angles DEH and DEJ
Answer:
DEH & DEJ
Step-by-step explanation:
It a acute and angle so it equal complementary
Solve each inequality Exercises 65-70 and graph the solution set on a real number line.
Answer:
Where are the exercizes.
What is the value of h(2)?
-2
-1
0
3
Answer:
0
Step-by-step explanation:
all the question is asking is
if x is 2 then what is y
the line on the left is downward facing line which ends at
(2,0) <- where is x is 2 and y is 0
the upward facing line on the right does start at (2,3)
but the dot there is a
hollow dot
hollow dot represents excluded value
Which statement best describes the relationship between lines m& n
The relationship between lines m & n is (a) the lines M and N have positive slope
How to describe the relationship?The points are given as:
Line M: (1, 4) and (2, 7)Line N: (1, 3) and (, 5)From the above points, we can see that:
As x increases, the y values of both lines increase
This is an illustration of positive slope
Hence, the lines M and N have positive slope
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A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to make a mix that contains 120 pounds of soil?
144
230.4
9
0.06
A ratio shows us the number of times a number contains another number. The correct option is A.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of fertilizer to soil is,
Fertilizer/Soil = 12 ounces / 10 pounds
The amount of fertilizer that the farmer need to mix for 120 pounds of soil is,
Fertilizer/120 pounds = 12 ounces / 10 pounds
Fertilizer = (12 ounces × 120 pounds)/10pounds
Fertilizer = 144 ounces
Hence, the correct option is A.
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Find the lengh of AB
Write the equation of the line with a slope of 2/3 and y-intercept of 1. Write your answer in slope-intercept form
B = y - mx = 1 - (2/3)(0) = 1
y = (2/3)x + 1
what is the answer to
√a³-7 + -4
Answer:
√a^3−7-4
Step-by-step explanation:
Replace all occurrences of + − with a single −. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅ −1= −1