Answers
Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
Related Questions
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answers
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
Use elimination to solve the system of equations:
3x + y = 10
- 4x - 2y = 2
Work:
Answers
x
+
y
−
2
z
=
0
4
x
+
y
-
2
z
=
0
,
2
x
−
3
y
+
3
z
=
9
2
x
-
3
y
+
3
z
=
9
,
−
6
x
−
2
y
+
z
=
0
-
6
x
-
2
y
+
z
=
0
x
+
2
y
=
4
x
+
2
y
=
4
,
2
x
+
4
y
=
8
2
x
+
4
y
=
8
3
x
+
y
=
4
3
x
+
y
=
4
,
6
x
−
7
y
=
2
Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart
Answers
Answer:
1200cm
Step-by-step explanation:
Given data
We know that 1meter is equivalent to 100cm
i,.e 1*100
so, if height is 1.2meters
Height in centimeters is 1.2*100
Hence height in centimeters is 1200cm
Explain how rays AB and AC form both a line and an angle.
Answers
Answer:
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
Step-by-step explanation:
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
Step-by-step explanation:
Amelia is taking a road trip. She drove 250 miles the first day. If 250 is 40% of her total distance, how many miles is her roadtrip in all?
Answers
Answer: 625 miles
Step-by-step explanation:
100-40=60
so she has 60% for her distance so lets munis 40 from it and add 250 to 250
250+250=500
60-40=20
20 is half of 40 so whats half of 250? its 125
so she drove 625 miles for her road trip 2 and 1/2 a day
During a school event, Noah is selling pizza at the food stand for $1.25 per slice. How many slices of pizza would Noah need to sell to earn $120? Explain your reasoning.
Answers
Answer:
96
Step-by-step explanation:
120/1.25=96
Noah needs to sell 96 slices of pizza to earn $120.
Please help me it’s for a quiz
A fenced pasture has a central rectangular corral within it that measures 8m by 5m.
The total area of the fenced pasture (outside the corral) is three times the area of the central corral.
What is the area of the central corral?.
If the width of the pasture border is the same for each side of the central corral,
what is the width of the border?
Draw a labeled picture, use let statements and show your work.
Answers
Answer:
*cough**cough* Ms. Roth?
please help me and thank you.
Answers
Answer:
[tex]482.5\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.
Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]
Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]
Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]
En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?
Answers
Answer:
36
Step-by-step explanation:
6 x 6
The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there
Answers
Answer:
18
Step-by-step explanation:
Calculation to determine how many coloured paper are there
Let 3x represent the number of coloured papers
Let 8x represent the number of white papers
Given that 8x=48
Hence,
x=48/8
x=6
Now let determine how many coloured paper are there
Coloured paper=3x
Coloured paper=3(6)
Coloured paper=18
Thereffore the number of coloured paper that are there is 18
plss Pa answer po!!!!!!!!!!!!!
Answers
Equation 1: 12-x=5 (Answer is 7)
Equation 2: 60-x=25 (Answer is 35)
Answer:
ronalyn has 7 oranges
7 + 5 = 12
aurthur has Php 35.00
25.00 + 35.00 = 60.00
hope it helps u..
Using the graph, determine the value of the slope.
v
CO 3
What is the slope?
4
2
What is true about the graph?
4
-2
-2
Intro
Done
Answers
Answer:
gradient of horizontal slope is 0
Find sin
A. 3/5
B.4/5
C.1
D.5/4
Answers
Answer:
Sin < A is 4 / 5
Step-by-step explanation:
sin = Opposite side / Hypotenuse side
sin = 8 / 10
sin = 4 / 5
se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B
Answers
Answer:
i dont know spanish
Step-by-step explanation:
How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.
Answers
Answer:
it depends on the size and angles that are given
SSS means side side side
SAS means side angle side
ASA means angle side angle
AAS means angle angle side
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answers
Answer:
Step-by-step explanation:
x+y=94 degree(sum of two interior opposite angles is equal to the exterior angle formed)
let third angle be y because the base of an isosceles triangle are always equal.
y+x+y=180 degree (sum of interior angles of a triangle)
y+94=180
y=180-94
y=86 degree
for angle x
substitute the value of x
x+y=94
x+86=94
x=8 degree
What is the value of x?
Answers
Answer:
Solution given:
sin 47=opposite/hypotenuse
Sin 47=x/18
x=sin47*18
x=13.16ft
Answer:
ammaamakamamMN8181(18736
Step-by-step explanation:
88271(1(1+1+382(2(#!#
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answers
Answer:
14
Step-by-step explanation:
AB = 10+( 10/15 × 6)
= 10 + 4= 14
What is the value of x in the solution to the system of equations shown???
-7
1.6
2.4
4
Answers
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
7x + y = 14
-2x - y = 6
Step 2: Solve for x
Elimination
Combine 2 equations: 5x = 20[Division Property of Equality] Divide 5 on both sides: x = 4Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.
Answers
Answer:
<1
Step-by-step explanation:
Of the 25 students who take a standardized test, the minimum score is 98 and the maximum score is 312. The mean score is 216. Standard deviation is 52. What is the number of standard deviations that includes all the data values?
Answers
Answer:
5
Step-by-step explanation:
so we can say that 5 standard deviations include all the data values.
"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol
Answers
Answer:
Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped
Step-by-step explanation:
60-45= 15
15 times 3 is 45
If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC
Answers
Answer:
AB/ PQ = BC/QR
Step-by-step explanation:
In similar triangles, ratio of corresponding sides are equal.
So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]
My grades depend on this question! Please help! Brainliest will be given out for this!
Answers
Answer:
2006
Step-by-step explanation:
1 + 2(1027) + 6 + 7 - 8 • 9 + 10
1 + 2054 + 6 + 7 - 72 + 10
2006
MARKING BRAINLIEST
PLS HELP
Answers
Answer:
-7
Step-by-step explanation:
Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.
explanation : i got it from the guy up there^^
A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.
Answers
Answer:
3.14
Step-by-step explanation:
Because you know it's the right answer.
URGENT PLEASE HELP: Simplify
Answers
Answer:
cot (x)
Step-by-step explanation:
cot x
---------------
cos x sec x
We know that sec = 1/ cos
cot x
---------------
cos x 1/ cos x
cot x
---------------
1
cot (x)
Answer:
You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.
Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.
A. -12/5
B. -4
C. 4
Answers
Answer:
C. 4 is the right answer!
Step-by-step explanation:
A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?
Answers
hi, i know this is basic math and stuff but I still need some help
Answers
Answer:
the answer is :
20 for the first figure
12 for the second figure
30 for the last figure
Answers:
Perimeter = 22 cmPerimeter = 22 cmPerimeter = 30 cm==============================================
Explanation:
The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.
So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).
For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.
It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.
