Answer:
[tex]g(x) = -(x - 2)^2[/tex]
[tex]k(x) = -\frac{x}{2} - 1[/tex]
[tex]h(x) = 2^x - 7[/tex]
[tex]f(x) =\sqrt{x}[/tex]
Step-by-step explanation:
Given
Input = 6
Expected Output = 11
Process:
[tex]f(x) =\sqrt{x}[/tex]
[tex]g(x) = -(x - 2)^2[/tex]
[tex]h(x) = 2^x - 7[/tex]
[tex]k(x) = -\frac{x}{2} - 1[/tex]
Required
Arrange the processes to give an output of 11
To answer this question, I'll make use of trial by error methods.
After some attempts, the following is the order of the processes;
Set x = 6
Substitute 6 for x in g(x)
[tex]g(x) = -(x - 2)^2[/tex]
[tex]g(6) = -(6 - 2)^2[/tex]
[tex]g(6) = -(4)^2[/tex]
[tex]g(6) = -16[/tex]
Substitute -16 for x in k(x)
[tex]k(-16) = -\frac{-16}{2} - 1[/tex]
[tex]k(-16) = -(-8) - 1[/tex]
[tex]k(-16) = 8 - 1[/tex]
[tex]k(-16) = 7[/tex]
Substitute 7 for x in h(x)
[tex]h(x) = 2^x - 7[/tex]
[tex]h(7) = 2^7 - 7[/tex]
[tex]h(7) = 128 - 7[/tex]
[tex]h(7) = 121[/tex]
Substitute 121 for x in f(x)
[tex]f(x) =\sqrt{x}[/tex]
[tex]f(121) = \sqrt{121}[/tex]
[tex]f(121) = 11[/tex]
Hence, the processes is:
[tex]g(x) = -(x - 2)^2[/tex]
[tex]k(x) = -\frac{x}{2} - 1[/tex]
[tex]h(x) = 2^x - 7[/tex]
[tex]f(x) =\sqrt{x}[/tex]
what is -4x+3=-16j-5
Answer:
1/4x + -1/2
Step-by-step explanation:
Step 1 :
-4x - 3 = -16j -5
Step 2:
-16j − 5=−4x+3
Step 3:
−16j−5+5=−4x+3+5
−16j=−4x+8
Step 3:
-16j/-16 = -4x + 8/-16
Answer:
j = 1/4x + -1/2
olivia can run 100 yards in 15 seconds. what is her speed in miles per hour? round to the nearest whole nimber
14 mph
Step-by-step explanation:
13.636364
is what you get by doing
100/15 then you get 6.6666......7
after that you multiply that by 3600 because thats how many seconds in that hour.
Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph
PLEASE MARK MY ANSWER BRAINLIEST
A new neighborhood activity complex is being built in oak valley. The perimeter of the rectangular playing field is 332 yards. The length of the field is 2 yards less than double the width. What are the dimensions of the playing field?
Answer:
200k
Step-by-step explanation:
i get 200 uh a cationnn
f(2) =
f(3)=
f( -1) +g( 4)=
g(3)=
g(2)=
g(-4) + f(-2) =
Answer:
2f
3f
−f+4g
3g
2g
−2f−4g
Step-by-step explanation:
Hope this helps!
Math
Deon paid $15.60 for 19.5 centimeters of wire.
Find the unit price in dollars per centimeter.
Answer:
unit price = $0.80 per cm
Step-by-step explanation:
to find the unit price per cm is to find how much 1 cm of wire costs:
given that :
19.5 cm ----> costs $15.60
1 cm -----> will cost $15.60 ÷ 19.5 cm = $0.80 (this is the unit price)
1/4 + 1/2 + x = - 3/4
solve for x
Answer:
X=-3/2
Step-by-step explanation:
1/4+1/2+X=-3/4
X=-3/4-1/4-1/2
X=-3/2
What is cube root ?
Answer:
the number which produces a given number when cubed
Need help with question
Answer:
option a
Step-by-step explanation:
in figure 1: 2n-1 so 2×1=2-1=1 so in figure 1 there is 1 block
in figure 2: 2-n-1= (2×2)-1=4-1=3 so there are 3 blocks this pattern continues
The sum of 2 consecutive odd integers is 204. What are the two odd integers?
101 and 104 i think is the most easy answer
Answer:
101, 103
Step-by-step explanation:
Say n is the first odd integer. The sum of n and its consecutive integer can be written as n + (n + 2). Doing some simple algebra:
n + (n+2) =204
2n + 2 = 204
2n = 202
n = 101
n is 101, and its consecutive integer, (n+2), is 103.
Josie says that (-15) XX(-15) = -156. Is she correct? How do you know?
6 times
Can someone help me with this?
Practice writing equations from sentences. Assignment Which sentences describe the relationship between an expression and an equation? Select all that apply.
An equation contains variables; an expression never does.
An equation contains an equal sign; an expression does not.
Both expressions and equations contain numbers and/or variables.
An expression has addition and subtraction; an equation never does.
An expression involves multiplication, but equations only use addition.
Answer:
An equation contains an equal sign; an expression does not.
Both expressions and equations contain numbers and/or variables
Step-by-step explanation:
Answer:
B,C
Step-by-step explanation:
Help me please i really need it
Answer:
so whats the question
Step-by-step explanation:
in the set of numbers from 1 to 12 which elements are in both the subset of even numbers and the subsets of the multiples of 4?
The answers are 4,8, and 12.
I WILL MARK BRAINLIES If √ x has a decimal approximation of 3.4, then x is between which two integers? In your final answer, include all calculations.
5e = e + 10 Please help with this
Five e minus one e equal to ten
Four e equal to ten
e equal to ten over four
e equal to 2.5
can someone help me with this 2?
Consider
the linear function f(x) = mx + b, where m = 0, on the interval [3, 7). Explain
why the maximum value of the function over this interval must occur at one
of the endpoints of the interval.
Answer:
Assuming that m does not = 0, then the function has a non horizontal slope, so the value will increase as the position moves away from zero in either the negative or positive direction depending on whether the slope (m) is negative or positive. The furthest that the position can be from 0 is at one of the endpoints of the interval [3, 7), therefore, the maximum value of the function on the same interval must be at one of the endpoints.
Which of the following statements is the most precise and correct to define
an angle?
A. The space between two intersecting lines.
B. The exact degree of a rotation of a geometric figure in a coordinate plane.
C. A figure formed by two rays, called the sides of the angle that share a
common endpoint, called the vertex of the angle.
Answer:c
Step-by-step explanation:
Statement C is the most precise and correct to define an angle.
What is an Angle?An angle is made when two rays, called as the arms of the angle meet at a common point, the common point is called the vertex of the angle.
The exact definition is what can explain in brief, the exact detail of the topic defined.
The definition that the space between two intersecting lines is simple to understand but is not completely explaining the technicality.
The angle is explained to the point in the Option C.
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Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is Line segment A C and measures 24 centimeters. What is the measure of Line segment A B? 12 cm 36 cm 48 cm 72 cm
Answer: 36cm
Step-by-step explanation:
An isosceles triangle has 2 sides equal and one different from the other 2. Let's take the segment A C which measures 24cm as the base of our triangle, that means we'll have two equal unknown segments A B and B C. The perimeter of a shape is in simpler terms the distance right round it, therefore, if we add the length of all the three sides of the triangle we should get 96cm.
A C + A B + B C = 96cm
A B = B C
A C = 24cm
96cm - 24cm = 72cm
A B + B C = 72cm
72cm ÷ 2 = 36cm
The length of AB is 36 cm.
An Isosceles triangle ABC has two equal sides.
Let us consider that equal sides AB and CB are x.
Given that, AC = 24cm
Perimeter = AB + CB + AC
[tex]x+x+24=96\\\\2x=96-24=72\\\\x=72/2=36cm[/tex]
Therefore, the length of AB is 36 cm.
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26 ft 10 ft , what is the height of the flagpole ?
The height of the flagpole is: 12 ft.
What is pythagorous theorem?A theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
Let the height of the flagpole be: x ft.
Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet
and one of the leg of the right triangle is: 16 feet
Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.
[tex]20^2=x^2+16^2\\\\\\400=x^2+256\\\\\\x^2=400-256\\\\\\x^2=144\\\\\\x=\pm12[/tex]
i.e.
But the height can't be negative.
Hence, we get: x=12
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Answer:
18
Step-by-step explanation:
7. Ella and her family normally pay $165 per
month for electricity. The utility company is
adding a 5% tax to help fund research for
eco-friendly energy sources. How much tax
will Ella's family pay for an entire year?
Answer:
$99
Step-by-step explanation:
Cost of electricity per year= $165
Tax per month= 5%
Amount of tax paid per month= 5% of $165
= 0.05 × 165
= $8.25
Ella's family pays $8.25 tax per month
There are 12 months in 1 year
Ella's family will pay Ina year = $8.25 × 12
= $99
Ella's family will pay $99 tax for an entire year
Is an equivalent ratio proportional?
Answer:
Yes
Step-by-step explanation:
If two ratios are equivalent they form a proportion. If ratios are not equivalent they do not form a proportion.
Hope This Helps :)
Answer:
2 equivalent ratios set equal to each other are a proportion
Step-by-step explanation:
A proportion is a statement of equality of two ratios. When you set two ratios equal to each other, you have a proportion. Two equivalent ratios are equal, so when you set two equivalent ratios equal to each other, you have a proportion.
Answer: 2 equivalent ratios set equal to each other are a proportion
WILL GIVE BRAINLET
5/6 + 7 1/3
Answer:
It would be 8 1/6 im 90% sure
Step-by-step explanation:
The equation 3.5x + 1.5y = 21 represents the cost for a family to
attend a play where x is the number of adults and y is the number of
children. Find the intercepts and interpret the meaning of each one.
PLEASE HELP ASAP
Answer:
Hey there!
The x-intercept is (6,0) meaning that if no children attend, 6 adults will attend.
The y-intercept is (0,14) meaning that if no adults attend, 14 children will attend.
Let me know if this helps :)
The x-intercept is (6,0) and y-intercept is (0,14).
What is x-intercept?x-intercept for "any curve is the value of x-coordinate at the point where the graph cuts the x-axis".
What is y-intercept?
y-intercept for "any any curve is the value of y-coordinate at the point where the graph cuts the y-axis".
According to the question,
3.5x + 1.5y =21
Let 'x' is the number of adults and 'y' is the number of children.
To find x-intercept put y=0.
3.5x + 1.5(0) = 21
3.5x = 21
x = 21/3.5 =6.
To find y-intercept put x=0
3.5(0) + 1.5(y) = 21
y = 21/1.5 = 14.
x-intercept (6,0) if no children attend the play then 6 adult attend the play. y - intercept (0,14) if no adult attend the play then 14 children attend the play.
Hence, The x-intercept is (6,0) and y-intercept is (0,14).
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A-Irrational Number
B-Whole number
C-Not an integer
Please help quickly i am in a rush
Answer:
B whole number
Step-by-step explanation:
You can't have part of a student, you have whole students.
Answer:
B
Step-by-step explanation:
it's a whole number
Given the line segment with C as the midpoint, find the length of the unknown segment.
Answer: 4 is 12 and 5 is 18
Step-by-step explanation: The midpoint of a line is the exact middle of the line. In other words, it splits the line into two equal parts.
From a formulaic standpoint, this looks like
AC = CB
And if we plug in the values it looks like this
AC = 12, so 12 = CB.
For the next problem,
AC + CB = AB
AC = 9, and since AC = CB, CB = 9 also.
So, once again just put the numbers in for the letters and you get
9 + 9 = 18
The endpoints of a diameter of a circle are A(1,2) and (7.10). Find the area of the circle in terms of pi
Answer:
25pi
Step-by-step explanation:
To solve this, create a right triangle between the two points. We know the distance of one leg is 6, and the distance of the other leg is 8. Use the Pythagorean theorem to solve for the diameter. You substitute 6 and 8 into the values of A and B. Once you get this, you get (6^2)+(8^2)=c^2. Once you further simplify this, you get 36 + 64 = c^2, which is 100 = c^2. Take the square roots of both sides to get the diameter as 10. Divide the diameter by 2 to get the radius. Square the radius and multiply it by pi to get the area. Doing this will get the result of 25 pi.
simplify 9 - 8b + 6b
Answer:
9-2b should be your answer.
Subtract.
-3 - (-1) = 1
Answer:
the answer is -2
Step-by-step explanation:
3-(-1)
= -3--1
= -3+1
= -2
what is the quotient of
[tex]2 \frac{2}{7} \div \frac{4}{7} [/tex]
[tex]2 \frac{2}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]
First, let's turn the first fraction into an improper fraction.
[tex]\frac{16}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]
Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.
16 ÷ 4 = 4
The quotient = 4