Answers
Answer:
We conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Step-by-step explanation:
Given
f(x) = 4x² - 1
g(x) = 1/2x + 5
h(x) = 2(x - 4)³
To determine
h(f(-1)) = ?
In order to determine h(f(-1)) first we need to determine f(-1).
substitute x = -1 in the function f(x) = 4x² - 1
f(-1) = 4(-1)² - 1
f(-1) = 4(1) - 1
f(-1) = 4-1
f(-1) = 3
so
h(f(-1)) = h(3)
now substitute h = 3 in the function h(x) = 2(x - 4)³
h(x) = 2(x - 4)³
h(3) = 2(3 - 4)³
h(3) = 2(-1)³
h(3) = 2(-1)
h(3) = -2
Thus,
h(f(-1)) = h(3) = -2
Hence, we conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Related Questions
Write an equation in slope-intercept form of the line that passes through (-2, 5) and (-4, — 5).
y =
HELPPP PLZ
Answers
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6. What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answers
Given: Two distinct number cubes, one red and one blue, are rolled together
To find: probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
Solution:
If two dices are rolled together, possible outcomes are as follows:
(1,1) (1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
So, total number of outcomes = 36
In order to find probability that the outcome of the roll is an even sum or a sum that is a multiple of 3, favourable outcomes are
(1,1) (1,2)(1,3)(1,5)
(2,1)(2,2)(2,4)(2,6)
(3,1)(3,3)(3,5)(3,6)
(4,2)(4,4)(4,5)(4,6)
(5,1)(5,3)(5,4)(5,5)
(6,2)(6,3)(6,4)(6,6)
Number of favourable outcomes = 24
Probability that the outcome of the roll is an even sum or a sum that is a multiple of 3 = Number of favourable outcomes/Total Number of outcomes = 24/36 = 2/3
what is the simple interest of a savings deposit for 1500 for 18 months at an interest rate of 6%
Answers
Step-by-step explanation:
Principal=1500
Time=18months = 18×12=216
Interest=6%
now
SI=P×T×R÷100
SI=1500×216×6÷100
SI=1944000÷100
SI=19440 is the answer
ANSWER THIS PLZ I NEED HELP
Answers
Part b is: x=6 because you multiply the 3x and x is 6.
3(6)+4=22
18+4=22
22=22
Hope this helped
Answer:
a) 3x+4
b) 6×3+4
Step-by-step explanation:
First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.
Answers
Answer:
whats the question here
Step-by-step explanation:
Answer:
The 2nd and 4th one
Step-by-step
Events A and B are such that P(A) = 3 8 , P(B) = 2 7 and P(A ∩ B) = 1 7 Work out P(A|B)
Answers
Answer:
[tex]\frac{17}{27}[/tex]
Step-by-step explanation:
Given: Events A and B are such that [tex]P(A)=38\,,\,P(B)=27[/tex] and P(A∩B) = 17
To find: [tex]P(A|B)[/tex]
Solution:
Probability refers to the chances of occurrence of any event.
An event is described as an outcome of a random experiment.
A random experiment is an experiment for which outcomes cannot be predicted.
[tex]P(A|B)=[/tex] P(A∩B) ÷ P(B) = [tex]\frac{17}{27}[/tex]
please help me. i am so confused please
Answers
Answer:
what is the question above what you are showing in the picture ?
Step-by-step explanation:
it will help a lot
PLEASSSE get this this circle bs mad wack
Answers
Answer:
x = 6
Step-by-step explanation:
The inscribed angle is half the measure of its intercepted arc, that is
3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Answer:
x = 6
Step-by-step explanation:
The inscribed angle is half the measure of its intercepted arc, that is
3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
The options for A , B , C , and D will be below:
A : 2 , 4 , 6 , 0 , 1 , 8
B: 2 , 4 , 6 , 0 , 1 , 8
C: 2 , 4 , 6 , 0 , 1 , 8
D: 2 , 4 , 6 , 0 , 1 , 8
Answers
Answer:
8 4 2 0
Step-by-step explanation:
can some one help me plz!!!
i am marking brainlyest
Answers
Answer:
its a or c
Step-by-step explanation:
The sum of three consecutive numbers is
42. Find the largest number in the set
Answers
Answer:
20
Step-by-step explanation:
Well consecutive numbers mean that the 3 numbers will follow each other in smallest to largest.
Example : 6, 7, 8 or 6,34,87
Non-Example : 7, 9, 6
As long as the number is greater than the one before it they are consecutive.
Following this rule I have come up with the numbers :
10, 12, 20
These three numbers are consecutive and equal to 42.
Now to find the largest number in this set just look at the greatest value which would be 20.
I don't have an entire explanation for this as I just did it in my head but I do hope it is correct.
I hope this helps! :)
work
Determine whether each triangle with sides of given lengths is a right
triangle. Justify your answer. (Example 3)
30 cm, 122 cm, 125 cm
5
Answers
Answer:
It is not.
Step-by-step explanation:
The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get
"[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]
SOLVE
r(s 2) (t) when r = 2, s = 3, and t = 5
pls help
Answers
Answer:
320 or 40 sorry if I´m wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
2(3*2)(5)
2*3*2=24
24*5=120
I feel like this is simple but i just forgot
Answers
Answer:
Probably d but im d u mb
Step-by-step explanation:
I need Help and I need it FAST!
Answers
Answer:
[tex] \huge a)\frac{1}{ {3}^{9}. {6}^{18} }[/tex]Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - y} < = > \frac{1}{ {x}^{y} } [/tex][tex]( {x} ^{z} )^{y} < = > {x}^{y \times z} [/tex]let's solve:[tex]( {3}^{3} . {6}^{6} {)}^{ - 3} [/tex]
[tex] \frac{1}{( {3}^{3}. {6}^{6} {)}^{3} } [/tex]
[tex] \frac{1}{ {3}^{3 \times 3}. {6}^{6 \times 3} } [/tex]
[tex] \frac{1}{ {3}^{9}. {6}^{18} }[/tex]what is the value of X?
Answers
since all sides are equal, which means all angles must also be equal to one another
all angles =60°
solving 7x-3=60
7x=63
x=9
similarly 11 y+5=60
11y=55
y=5
( 2x^3 + 4x^2 -5x + 11 ) + ( 6x^3 - 9x^2 - 6x + 21 ) - plz
Answers
Answer:
8x^3-5x^2-11x+32
Step-by-step explanation:
The regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the
regular price. The sales tax rate is 6%. What is the final cost of the stereo system, after the
discount and including the tax? *
$229.62
$318.75
$341.25
$337.88
Answers
The final cost of the stereo system after the discount and including the tax is $337.88. The correct option is D.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the regular price. The sales tax rate is 6%.
The discounted price is calculated as,
Discounted Price = 375 x 0.85
Discounted Price = 318.75
The total price after sales tax is,
Total price = 318.75 x 1.06
Total price = $337.875
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
Ms. Rios mowed
2
7
of her lawn. Her son mowed
1
4
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Answers
Answer:
Ms Rios mowed more
Step-by-step explanation:
I'm assuming that there's 100% of the lawn so if Ms Rios mowed 27% of the lawn when it was at 100% it would be at 73%
Now if her son mowed 14% and it was still at 100% it would be at 86%
So in the end Ms Rios mowed more of her lawn
What is the slope of the line that passes through the points (5, -4)(5,−4) and (7, -4) ?(7,−4)? Write your answer in simplest form.
Answers
Answer:
the slope is 0, m=0
Step-by-step explanation:
do the equation y2 - y1 over x2 - x1
Equation of a line is the y = 3x - 1 is with a slope of 3 and a passing point of (2, 5).
What is meant by slope?An angled surface, especially a hill or mountain, or the angle at which something rises: On flat terrain, students develop their directional skiing skills.A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes.The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis rise compares to its x-axis run.Here, slope of line equals 3.
Passing the buck (2, 5)
line equation
(y - y₁) = m (x - x₁)
y - 5 = 3 (x - 2) (x - 2)
y - 5 = 3x - 6
y = 3x - 6 + 5
y = 3x - 1
So, the equation of the line traversing the points (2, 5) and having a slope of 3 is y = 3x - 1.
The complete question is : A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point-slope form.
To learn more about slope refer to:
https://brainly.com/question/16949303
#SPJ2
What is the result when the number 70 is increased by 10%
Answers
Answer:
77.00
Step-by-step explanation:
please help!
explain and correct the error in this calculation
Answers
Giving Away 100 Points!!! ONLY IF YOU ANSWER THIS SPECIFIC QUESTION.
WHAT IS 9×24+42
Answers
Answer:
258
Step-by-step explanation:
9×24+42= 258
Simple: 258
And thanks for asking this questions with 100 points.
Determine where on the coordinateplane the point (8, 0) would be located. How do you know
Answers
Formúla General
a) 4x²=9x-2=0
b) X²+8x-84=0
Answers
Answer: a) [tex]x=\dfrac{-9 \pm\sqrt{113} }{8}[/tex]
b) x₁ = - 14; x₂ = 6.
Step-by-step explanation:
a) 4x² + 9x - 2 = 0
[tex]x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=4; \: \: b=9; \: \: c=-2\\x =\dfrac{-9 \pm \sqrt{9^{2}-4 \cdot 4 \cdot (-2) } }{2 \cdot 4} =\dfrac{-9 \pm\sqrt{113} }{8}[/tex]
b) x² + 8x - 84 = 0
[tex]x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x =\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1} =\dfrac{-8 \pm\sqrt{400} }{2}=\dfrac{-8 \pm 20}{2} =-4 \pm 10\\\\x_{1} =-14\\x_{2} =6[/tex]
What is (16x^3)^ 1/4 in radical form?
Answers
Answer:
4^√16x3
Step-by-step explanation:
helpppppppppppppp-------
Answers
Answer:
7/10
Step-by-step explanation:
1/10 = 2/20
1/4 = 5/20
2/5 = 8/20
11/20 = 11/20
We can see that the next term is just 11/20 + 3/20, as 3/20 is added onto each of the next terms.
11/20 + 3/20 = 14/20, which can be simplified to 7/10.
Hope this helps!
Question 1
Find the measure of each angle indicated.
Answers
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
x + 70 =120 {Exterior angle theorem}
x = 120 - 70
x = 50
y = x {Vertically opposite angles}
y = 50
z + 50 + 40 = 180 {Angle sum property}
z + 90 = 180
z = 180 - 90
z = 90
Hockey teams are often confronted with the dilemma of whether or not to pull a goalie at the end of the game when they are down a goal or two. One analyst reports that in 40% of those games in which a goalie was pulled a goal was scored with one empty net, and of those goals scored 25% were scored by the team that pulled the goaltender. Given that the goalie has been pulled by a team, what is the probability that team will score a goal?
Answers
Answer:
Step-by-step explanation:
so 30% of the total number of goals shot is 5
30% of what number is 5....turn ur percent to a decimal..." of " is multiply
let the number of shots represent x
0.30x = 5...divide borh sides by 0.30
x = 5/0.30
x = 16.66 shots
Choose the best graph that represents the linear equation: -5x - y = 0 Graph A On a coordinate plane, a line goes through (0, 0) and (1, 5). Graph B On a coordinate plane, a line goes through (0, 0) and (5, 1). Graph C On a coordinate plane, a line goes through (0, 0) and (negative 1, 5). Graph D On a coordinate plane, a line goes through (0, 0) and (1, negative 5). a. Graph A c. Graph C b. Graph B d. Graph D
Answers
Answer:
2,4 is indeed correct on edg.
Graphs that show a linear function is second option
The linear equation graphs are the equation of straight line graph with slope.
for example y = mx where (x,y) be the point on the line and m be the slope.
here the only second graph shows a straight line graph. y values changes by when x value changes. there is a slope.
when we a x value we can compute the corresponding y value.
Step-by-step explanation:
