Answer:
I believe the correct answer is f^-1 (x) = x - 3/2
Convert
f(x) = 2/3 (x + 3)2
to standard form.
=
Answer:
3
Step-by-step explanation:
adding subtraction multiplication and division
Giving brainliest whoever answers this question first, please help
A linear function has a y-intercept of 3 and passes through the point (3, 7). Tom compared the slope of the function to the slope of 4x - y = 5. What is the difference in the two slopes?
Answer:
mom mom mom mom mom mom b mom
Find the least common denominator (LCD) of 7/9 and 5/6
Answer: 18
Step-by-step explanation:
The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:
9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60
You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).
A line segment has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment?
Answer:
32.2 units
Step-by-step explanation:
The length of a line segment can be found from its endpoint coordinates using the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040
d ≈ 32.2
The line segment is about 32.2 units long.
The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
We have two points (2, 10) and (18, -18)
From the distance formula:
[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]
[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]
[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]
[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units or
d = 32.25 units
Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).
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Ann deposited $4000into an account with 3.6% interest, compounded annually. Assuming that no withdrawals are made, how much will she have in the account after 9 years?
Pine Bluff, Ark has been continuously declining in population at a rate of 12.5 percent due to unemployment. If
the city's current population is 100,258 then in how long before the population drops to 87,751 at this current rate?
(Round your answer to the nearest year)
a. l
b. 3
C. 4
d. 2
add (5y - 1) + (-2y + 4) =
Answer:
3(y+1)!
Step-by-step explanation:
Nihkil surveyed 20 students at his middle school and 13 of them had at least one sibling. What percent of the students surveyed have at least one
sibling?
The students surveyed have at least one sibling are 65%.
What is percentage?The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.
Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.
Given total student surveyed = 20
students had at least one sibling = 13
percent of the students surveyed have at least one sibling =
(students had at least one sibling)/(total student surveyed) x 100
percent of the students = 13/20 x 100
percent of the students = 65%
Hence 65% of students surveyed have at least one sibling.
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Which graph represents the solution to the compound inequality?
4x + 8<-16 or 4x + 824
O4+
=>
-7 -6 -5 4 -3 -2 -1 0 1
O4
-7 6 5 4 3 2 1 0
1
O
+ +
-7 -6 -5 4 -3 -2 -1 0 1
O
-7 -6 -5 4 -3 -2 -1 0 1
Answer:
We know that the slope or rate of change of the function can be:
positive
negative
zero, or
undefined
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
We know that the slope or rate of change of the function can be:
positive
negative
zero, or undefined
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is y = mx+b
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
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A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.
How many fluid ounces of milk were used during the class?
10 fl oz
23 fl oz
49 fl oz
101 fl oz
Answer
C. 49 fl oz
Step-by-step explanation:
I took the quiz.
A pick-up weighing 1.4 t is loaded with 40 bags of cement each weighing 50 kg. What in the total weight of the pick-up and its load.
Answer:
3.4 tonnes
Step-by-step explanation:
Kg --> tonnes = / 1000
50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.
Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x = −4. 41, −1. 59.
The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here, (a,b,c) are the real numbers and x is the variable.
To find the value of x, the following formula is used,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The given equation is,
[tex]2(x+ 3)^2 - 4 = 0[/tex]
To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.
[tex]2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0[/tex]
On comparing with standard equation we get,
[tex]a=1, b=6, c=7[/tex]
Put this values in the above formula,
[tex]x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59[/tex]
Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.
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Which vector best describes the translation below?
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule [tex](x,y) \to (x+9, y)[/tex]. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation [tex](x,y) \to (x+a, y+b)[/tex] is shortened to the translation vector notation [tex]< a, b >[/tex]. In this case, a = 9 and b = 0.
Geometric series mastery test
Plato/edumentum
Answer:
183
Step-by-step explanation:
it is clearly a geometric sequence.
the common ratio of multiplication factor is -3.
3 × -3 = -9
-9 × -3 = 27
27 × -3 = -81
-81 × -3 = 243
the sum of these first 5 terms is
3 - 9 + 27 - 81 + 243 = 183
FYI - there is a formula to add the first n terms of a geometric sequence :
Sn = a1(1 - r^n)/(1 - r)
if r < 1 (like in our case -3).
in our case
S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183
How do you find perimeter?
Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.
You have $10.00 and want to buy all of the items below. How much change
will you have left after you make your purchase? Do not include $ in your
answer.
ITEM
COST
Bagels
Cream Cheese
Raisins
$2.66
$1.85
$2.66
Help pls
Answer: 2.83
Step-by-step explanation:
2.66+1.85+2.66 = 7.17
10.00 - 7.17 = 2.83
is 48,200 in scientific notation?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \:48200[/tex]
[tex]\qquad \sf \dashrightarrow \:4.82 \times 10 {}^{4} [/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=21
Step-by-step explanation:
We know that the angles of a triangle has a sum of 180 degrees always. We know two sides already which are 45 and 63. Their sum is 108 degrees which means that the missing side is 180-108 which is 72.
Now we can set 72 equal to 4x-12 since the last side has to equal 72 and solve.
72=4x-12
84=4x
x=21
Hope this helps!!!
Use the volume formula to find the volume of the prism
Answer:
B. 9 cubic inches
Step-by-step explanation:
Hey there!
To find the volume of a rectangular prism, you must use the formula:
L * W * H
L is the lengthW is the widthH is the heightTo find the volume we must multiply: 1.5, 4, and 1.5
Let's start!
1.5 * 4 * 1.56 * 1.59The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)
Volume = base area × height
Volume = ( 4 × 1 ½ ) × 1 ½
[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]
[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]
[tex]v = \frac{36}{4} \\ [/tex]
[tex]v = 9[/tex]
Thus C is the correct option.
Have a great day ♡
A tv is sold for ra 10350 with 15% profit. Find the cp of tv
CP=SP*100÷100+P
so,
CP=10350*100÷100+15
CP=9000
Answer:
solution
Step-by-step explanation:
Let.the cp of TV be RS X
now,CP=SP-profit
or, CP=SP-profit% of Cp (as profit amount =profit % of Cp)
or, x=Rs 10350-15÷100× X
or, x= Rs 10350 _ 3X ÷20
or, x+3x ÷20 =Rs 10350
or, 23x ÷20 = Rs 10350
or, x = 10350×20 divided by 23
Therefore X =Rs 9000
WILL GIVE LOTS OF POINTS
Jenny has 9 cars available to rent. Let C be the number of cars she would have left after renting R of them. Write an equation relating C to R. Then graph your equation
9-R= C
hope this helps :)
Given the value of the hypotenuse c for a 30°-60°-90° triangle, write the equations to represent sides a and b in terms of c. Assume a is the shorter leg.
Answer:
a = 1/2 • c
b = (root3)/2 • c
Step-by-step explanation:
30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)
The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.
What is the center of a circle whose equation is x2 y2 4x – 8y 11 = 0?
The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).
What is a circle?
It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is x² + y² + 4x – 8y + 11 = 0
Add 9 on both sides of the equation, then we have
x² + y² + 4x – 8y + 11 + 9 = 9
x² + 4x + 4 + y² – 8y + 16 = 9
(x + 2)² + (y – 4)² = 3²
The center of the equation is (–2, 4).
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Answer:
A. (-2, 4)
Step-by-step explanation:
i did it B)
Find the diameter. dddddddddddddddddddddddddddddddddddddddd
Answer:
14
Step-by-step explanation:
To find the diameter you can just multiply the radius by 2:
7 x 2 = 14
Hope this helps :)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's we go ~
We know that diameter of a circle is two times it's radius, that's a basic relation among diameter and radius, so let's use this to find the value of diameter :
[tex]\qquad \sf \dashrightarrow \:d = 2r[/tex]
[tex]\qquad \sf \dashrightarrow \:d = 2 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:d = 14 \: cm[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?
Answer:
4 feet
Step-by-step explanation:
the 9 part of the ratio relates to 18 feet , then
18 ÷ 9 = 2 feet ← value of 1 part of the ratio , then
2 parts = 2 × 2 feet = 4 feet ← length on scale drawing
Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?
Answer:
The value of the length of the side C is 11.49.
Step-by-step explanation:
Cosine formula is applicable.
c² = a² + b² -2abcos(C)
substitute the values:
c² = (5)² + (12)² -2(5)(12)cos(72)
= 25 + 144 - 2 (60) (0.309)
= 169 - 37.08
c² = 131.92
square root both sides:
c = sqrt(131.92)
C = 11.49
Can someone please help me out with this question?
Answer:
don't get mad at is i don't get this right
i think it would be D
Step-by-step explanation:
Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. round your answer to the nearest cent. a. $938,272.00 b. $941,790.00 c. $535,528.03 d. $547,577.41
The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
The total amount to be withdrawn in a year = 15265*2 = $30530
The total amount to be withdrawn in 35 years =$1068550
What is the compound interest?Compound interest is interest on interest along with interest on the principle.
Annual Rate of interest = 4.5%
Semi-annual rate of interest r=2.25%
Amount A= $1068550
[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]
[tex]P = $225093.358[/tex]
Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
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In diagram below?FG bisects
Answer:
107 should be your answer
Step-by-step explanation:
so to simplify it, its as simple as 180-146=34 and then 73+34=107, because BGC is vertical to AGD giving you most of the line, and from more math you can figure out that FGA is equal to 73 and vertical to EGB giving you the rest that you need.