Answer:
B
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]
And we want to find:
[tex]h(f(-1))[/tex]
So, find f(-1) first. Substitute -1 into f(x):
[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]
Square:
[tex]f(-1)=-2(1)-5(-1)+1[/tex]
Multiply:
[tex]f(-1)=-2+5+1[/tex]
Add:
[tex]f(-1)=4[/tex]
Now, substitute this into h(f(-1)):
[tex]h(f(-1))=h(4)[/tex]
So, substitute 4 into h(x):
[tex]h(4)=3(4+3)^2-11[/tex]
Add:
[tex]h(4)=3(7)^2-11[/tex]
Square:
[tex]h(4)=3(49)-11[/tex]
Multiply:
[tex]h(4)=147-11[/tex]
Subtract:
[tex]h(4)=136[/tex]
So, our answer is B.
And we're done!
13. To enter the play area, children must be more than 4 feet tall.
Answer:
Is this full qn ?. I don't think sooo.
1936
1937
1944
1945
1946
19
23
30
33
?
Answer:
44?
Step-by-step explanation:
List the first 4 terms of the sequence. f(1) = 7, f(n) = f(n-1)+4
Answer:
7, 11, 15, 19
Step-by-step explanation:
Using the recursive rule with f(1) = 7 , then
f(2) = f(1) + 4 = 7 + 4 = 11
f(3) = f(2) + 4 = 11 + 4 = 15
f(4) = f(3) + 4 = 15 + 4 = 19
The first 4 terms are 7, 11, 15, 19
Solve for x: 3x−2=8x+8
Answer:
-2 =x
Step-by-step explanation:
3x−2=8x+8
Subtract 3x from each side
3x-3x−2=8x-3x+8
-2 = 5x+8
Subtract 8 from each side
-2-8 = 5x+8-8
-10 = 5x
Divide each side by 5
-10/5 = 5x/5
-2 =x
Answer:
-2
Step-by-step explanation:
Subtract 8x from both sides.
3x−2−8x=8x+8−8x
−5x−2=8
Step 2: Add 2 to both sides.
−5x−2+2=8+2
−5x=10
Step 3: Divide both sides by -5.
−5x
−5
=
10
−5
x=−2
a brunette Hall is preparing to serve a party of 432 guests if each table seats 8 people how many tables are needed
Answer:
54
Step-by-step explanation:
432/8=54
Which equation below would be perpendicular to the line x = 5 and goes through the point (2, 6)?
Answer:
this also I do not know plz tell answer is will also practice
Order the numbers below from least to greatest √5,3.7,1/2,-4,-9/4
Answer:
-4 , -9/4 , .5 , √5 , 3.7
Step-by-step explanation:
-9/4= -2.25
sqr 5= 2.23
1/2= .5
A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m
Answer:
c on edge
Step-by-step explanation:
i just did it
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.
What is a line segment?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).
The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,
The two lines w and n are parallel to each other.The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°. The two lines k and line n are also parallel to each other.Further, if all the options are observed.
A.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
B.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
C.) w Parallel to n and n Perpendicular to m
Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.
D.) w Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
Learn more about Line Segment:
https://brainly.com/question/25727583
#SPJ2
What is the solution set for 5(1−p)>−3p−5?
3p-1=5(p-1)-2(7-2p)
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
Reorder the terms:
-1 + 3p = -5 + -14 + 5p + 4p
Combine like terms: -5 + -14 = -19
-1 + 3p = -19 + 5p + 4p
Combine like terms: 5p + 4p = 9p
-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9
Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
what is 1 1/3 divided by 3/5
Answer:
6.11
Step-by-step explanation:
First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5
Haruki has $20 in his savings account. Each
week he will add $5 to it. He wants to draw
a graph that shows how much money is in
his savings account over time, starting with
$20. What is the equation of the line?
Answer:
y=5x+20
Step-by-step explanation:
It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.
Answer:
y=5x+20
Step-by-step explanation:
!!!!PLEASE HELP!!!!! 20 points
The local ice cream parlor bought 100 half gallons of gelato for $2.40 per half gallon and stored it in two freezers . One freezer broke, ruining 14 half gallons. If the remaining gelato is sold for $3.96 per half gallon, how much profit will the parlor make? Remember to include a dollar sign in your answer .
Answer:
The profit is $100.56
Step-by-step explanation:
The total cost for the ice cream was 100 * 2.40 = 240
14 1/2 gallons were ruined so there were 100 -14 = 86 half gallons left
They sold these at 3.96 each
86 * 3.96 =340.56
The profit is the money made minus the cost
340.56-240 = 100.56
The profit is $100.56
What is 1 5/6 + 1/2?
A) 14/6
B) 17/12
C) 17/6
D) 25/12
Answer:
A) 14/6
Step-by-step explanation:
1 5/6 = 1 + 5/6 = 6/6 + 5/6 = 11/6
1/2 = 3/6
then:
1 5/6 + 1/2 = 11/6 + 3/6 = 14/6
What's more selfish? Committing Death or forcing someone to stay in a world where they are so unhappy?
Answer:forcing someone to stay in the world they dont wanna be in
Step-by-step explanation:
A square has an area of 9 cm what is it's side length
Answer:
A=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
itttttttttttttt isssssssssss =3
help
i need H - G answered
Answer:
See below.
Step-by-step explanation:
H.
f = 3x + 31
c = 12x - 1
3x + 31 + 12x - 1 = 180
15x + 30 = 180
15x = 150
x = 10
same-side interior, supplementary
R.
b = x - 10
g = 4x + 60
x - 10 + 4x + 60 = 180
5x + 50 = 180
5x = 130
x = 26
same-side exterior, supplementary
E.
d = 2x + 13
e = 7x + 5
2x + 13 + 7x + 5 = 180
9x + 18 = 180
9x = 162
x = 18
same-side interior, supplementary
I.
a = 10x - 30
e = 8x + 20
10x - 30 = 8x + 20
2x = 50
x = 25
corresponding, congruent
G.
b = x + 30
h = 5x - 14
5x - 14 = x + 30
4x = 44
x = 11
alternate exterior, congruent
Please Help! 7+b=b+7
Answer:
Yes, 7+b=b+7
Step-by-step explanation:
It is correct because the both are the same equation; however, the numbers and variables are just switched around. Therefore, that doesn't change the value of the equation.
Hope this helps!
Answer:all real numbers are solutions
Step-by-step explanation:
C is between B and D
BC = 8x +13
CD= 12x -73
BD =320
find the value of x
Answer:
..
...
Step-by-step explanation:
..
Answer:
x = 19
Step-by-step explanation:
Since C is between B and D , then
BC + CD = BD , substitute values
8x + 13 + 12x - 73 = 320 , that is
20x - 60 = 320 ( add 60 to both sides )
20x = 380 ( divide both sides by 20 )
x = 19
Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175. 75 + ?m = 175
Answer:
2 months for $175
Step-by-step explanation:
2x5 is 10 so 2x50 = 100 and since 75 was already in the bank when he started doing deposits, it took him 2 month to deposit 100
Answer:
50
Step-by-step explanation:
i got this one wrong 175 isnt correct
Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations
Answer:
Fred has saved $115 while Wilma had saved $230
Step-by-step explanation:
Let the amount saved by Fred be F while the amount saved by Wilma be W
Together, they have saved $345
Mathematically;
F + W = 345 •••••••(i)
We are also told that Wilma has have twice as much money as Fred;
Hence; W = 2F ••••••••(ii)
To get the amount of money they both have, we need to solve the equations simultaneously
Substitute ii into i
F + 2F = 345
3F = 345
F = 345/3
F = 115
But W = 2F
W = 2 * 115
W = 230
what does 5/8 x 30 1/2 = in mixed number form
Answer:
19 1/16
Step-by-step explanation:
Answer:
305/16
Step-by-step explanation:
Simplify the following:
(5 (30 + 1/2))/8
Hint: | Express (5 (30 + 1/2))/8 as a single fraction.
(5 (30 + 1/2))/8 = (5 (30 + 1/2))/8:
(5 (30 + 1/2))/8
Hint: | Put the fractions in 30 + 1/2 over a common denominator.
Put 30 + 1/2 over the common denominator 2. 30 + 1/2 = (2×30)/2 + 1/2:
(5 (2×30)/2 + 1/2)/8
Hint: | Multiply 2 and 30 together.
2×30 = 60:
(5 (60/2 + 1/2))/8
Hint: | Add the fractions over a common denominator to a single fraction.
60/2 + 1/2 = (60 + 1)/2:
(5 (60 + 1)/2)/8
Hint: | Evaluate 60 + 1.
60 + 1 = 61:
(5×61/2)/8
Hint: | Express 5×61/2 as a single fraction.
5×61/2 = (5×61)/2:
((5×61)/2)/8
Hint: | Express ((5×61)/2)/8 as a single fraction.
((5×61)/2)/8 = (5×61)/(2×8):
(5×61)/(2×8)
Hint: | Multiply 2 and 8 together.
2×8 = 16:
(5×61)/16
Hint: | Multiply 5 and 61 together.
5×61 = 305:
Answer: 305/16
My answer is B im sure im wrong ;-;
Answer:
12.56
Step-by-step explanation:
find the circumference of the circle : 2πr
C=2(12)(3.14)
C=75.36
the length of the arc is: arc length will be (60/360) one 1/6 of the total circumference.
(60/360)(75.36)= 12.56
find the values of x and y respectively A. 40, 80 B. 40,70 C. 110,30
Answer:
B. 40, 70
Step-by-step explanation:
[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]
Help please!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4x=2(x+6)
4x=2x+6
2x=6
x=3
Need help ASAP!! Convert this rational number
to its decimal form and round
to the nearest thousandth.
Answer:
0.167
Step-by-step explanation:
Converting it to decimal form would be :0.16666667
Rounding it to the nearest thousands would be the 3rd decimal place. Round it up to be 0.167
Can someone help me with this please
===========================================
Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
--------
Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
--------
Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
simplify the expression by combining like terms; 5c+3+1-c
Answer:
4c+4
Step-by-step explanation:
5c+3+1-c
-c
4c+3+1
4c+4
i feel so stupid right now it makes me mad
how do you describe a correlation
Answer:
Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.
Step-by-step explanation:
Solve.
2(7y - 5) = 4
Answer:
y=1
Step-by-step explanation
So basically 2 *7y is 14y and 2*5 equals 10
bring the 10 to the 4 and you have 14y=14
y=1