I'll focus on problem 2.
For these types of problems, I recommend graphing the functions to see how the end behavior looks.
The graph of y = x^2 has a parabola where both endpoints aim upward. So each end goes to positive infinity (regardless if x is going to positive or negative infinity).
In short, the graph rises to the left and it rises to the right.
Increasing the leading coefficient will not change this fact. We can pick any leading coefficient we want and the end behavior will stay the same. All that matters is the leading coefficient is positive.
If the leading coefficient becomes negative, then everything flips: the endpoints will aim down. The other terms we add on (such as a 3x+3) will not change the end behavior. The leading term, with the largest exponent, is what directly and solely determines the end behavior.
The graph is shown below. I used GeoGebra to make the graph. Desmos is another handy tool you could use.
9. Use the Distributive Property to simplify (-5 - c)(-1).
a 5 - C
b C
c-5 + c
d 5 + C
Answer:
D. 5 + c
Step-by-step explanation:
( - 5 - c ) ( - 1 )
use distributive property ; to multiply -5 and - c by -1.
= -1 × - 5 - ( +1 ) × - c= 5 + cWhat is the HFC of the following: 4 (x2-x+1) and 28 (x3+1)?
Your Answer is in the above image.
Somebody help me with this
Answer:
3x4 +x3+ 15x2+30x-14
Step-by-step explanation:
The slope of a line is -, and the y-intercept is 10/3. What is the equation of the line written in general form?
mary is 1 m 15 cm tall. her friend larry is 1 m 30 cm tall. who is taller and by how much?
Answer:
Mary's friend Larry is taller by 15cm.
Step-by-step explanation:
First look for the bigger number.
Then subtract the smaller number from the bigger number.
Will mark Brainlest hellpppp
[tex]h(-3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
Step-by-step explanation:
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8} [/tex]
Quick !
The perimeter of the rectangle below is 118 units. Find the length of side AD.
Answer:
24
Step-by-step explanation:
the perimeter is all sides added up
therefore to solve for "z"
3z + 3z + 4z + 3 + 4z + 3 = 118
simplify
14z + 6 = 118
isolate z by first subtracting 6 from both sides and then dividing by 14 for both sides
z=8
plug z into side CB as AD and CB are congruent
3(8)
=24
Nine subtracted from four times a number is -21 what is the number?
Answer:
-3
Step-by-step explanation:
My knowledge ;D
which elements in the following set are integers -8,3/4,-0.18,0,0.16,5,-2/7,6
Answer:
345
Step-by-step explanation:
A gardener wants to plant 875 roses in the garden. Can he plant them in rows having 7 plants each without any plants left? Justify your answer. *
Answer:
Yes
Step-by-step explanation:
875 roses / 7 plants per row
875 / 7 = 125 rows, which is a whole number, meaning nothing is left over
Can someone please please please help me? I need this to be correct or else I’m gonna be grounded for the rest of the summer…
The difference between two numbers is 28. The first number is three times the other number. What are the numbers?
A. 14 and 42
B. 26 and 42
C. 14 and 14
D. 15 and 43
No links or fake answers please
Answer:
A
Step-by-step explanation:
42-14=28
Answer:
A. 42 and 14
Step-by-step explanation:
first number = x
second number = y
x - y = 28
3x - x = 28
(y is now x because it says the second number is whatever x was, but three times less)
x = 14
3(14) - (14) = the original number, 28
PLEASE HELP
If the absolute value represents the distance from zero, can we have a negative distance?
Answer:
No, you cannot have a negative distance.
Step-by-step explanation:
No, you cannot have a negative distance.
Let's say you were asked for the absolute value of -4. How many units is -4 away from 0? The answer would be 4. There is no negative distance from 0.
Hope this helps, please mark brainliest! :)
Identify the domain of the function shown in the graph. Need heal ASAP
Answer:
D
Step-by-step explanation:
the domain of the function is the boundaries in the X condition. using the graph we see X starts at 2 and ends at 7 so the domain is
[tex]2 \leqslant x \leqslant 7[/tex]
Which expression is equivalent to -6(-⅔+2x)?
O-4-12x
O-4+ 2x
O 4-12x
O 4+ 12x
Answer:
4-12x
Step-by-step explanation:
opening the brackets;
(-6×-2/3)- 12x
-2×-2 -12x
4-12x
Answer:
4 - 12x
Step-by-step explanation:
We can find an equivalent expression by distributing
-6(-⅔+2x)
Distribute by multiplying -6 times what's inside of the parenthesis ( -2/3 and 2x )
-6 * -⅔ = 4
-6 * 2x = -12x
We would be left with 4 - 12x
How do you find the amplitude, period, and shift for f(x)=−4cos(3x−π)+1?
Answer:
(a) Amplitude = 4
(b) [tex]T = \frac{2\pi}{3}[/tex] --- Period
(c)
[tex]C = \frac{\pi}{3}[/tex] --- phase shift
[tex]D =1[/tex] --- vertical shift
Step-by-step explanation:
Given
[tex]f(x) = -4\cos(3x - \pi) + 1[/tex]
Rewrite the function as:
[tex]f(x) = -4\cos(3(x - \frac{\pi}{3}) + 1[/tex]
Solving (a): The amplitude
A cosine function is represented as:
[tex]f(x) = A\cos[B(x - C)] + D[/tex]
Where:
[tex]|A| \to Amplitude[/tex]
So, in this equation (by comparison):
[tex]|A| = |-4|[/tex]
[tex]|A| = 4[/tex]
The amplitude is 4
Solving (b): The period (T)
This is calculated as:
[tex]T = \frac{2\pi}{B}[/tex]
By comparison:
[tex]B =3[/tex]
So:
[tex]T = \frac{2\pi}{3}[/tex]
Solving (c): The shift
The phase shift is C
The vertical shift is D
By comparison:
[tex]C = \frac{\pi}{3}[/tex] --- phase shift
[tex]D =1[/tex] --- vertical shift
Helpppppppp thank u so much
Answer:
acute triangle
Step-by-step explanation:
First find the other angle
The sum of the angles is 180
x+65+60 = 180
x + 125 = 180
x = 180-125
x = 55
All three angles are different so all three side lengths are different
All the angles are less than 90 so all the angles are acute
This is an acute scalene triangle
Answer:
im is 55 so the only correct option is c
Step-by-step explanation:
hope this helps! have a great day!!
Question attached below
Answer:
s(8) = 1162
Step-by-step explanation:
We are told that the acceleration is;
a(t) = 18t + 16
Now, acceleration is the first derivative of velocity. Thus, we will integrate the acceleration function to get the velocity function.
v(t) = ∫a(t) = ∫(18t + 16)
v(t) = 9t² + 16t + c
We are told that at t = 0, v(0) = 16
Thus;
9(0)² + 16(0) + c = 16
c = 16
Thus;
v(t) = 9t² + 16t + 16
Also, the velocity is the first derivative of distance. Thus;
S = ∫v(t) = ∫9t² + 16t + 16
S = 3t³ + 8t² + 16t + c
At t = 0, s(t) = 10. Thus;
10 = 3(0³) + 8(0²) + 16(0) + c
c = 10
Thus;
s(t) = 3t³ + 8t² + 16t + 10
At t = 8;
s(8) = 3(8³) + 8(8²) + 16(8) + 10
s(8) = 1162
plzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeee
i do anything just help
1.) Create a table of x and y values that represents a proportional relationship.
a) Explain how you know the relationship is proportional.
b) What equation models the values in the table?
2) Create a table of x and y values that represents a linear, non-proportional relationship.
a) Explain how you know the relationship is non-proportional.
b) What equation models the values in the table?
Answer:
Table could be first x = 2, y = 4, then x = 4, y = 8. It is proportional because both (x,y) values equal 1/2. The equation is x = 1/2y. Last, the table could be the same, or you could do first, x = 6, y = 12, then x = 12, y = 24, because they still equal 1/2.
Step-by-step explanation:
PLEASE HELP ME
WITH STEPS
Answer:
,(i) answer is 203,918
(ii)answer is227,306.36
Which system of equations is represented by the matrix below?
54 5-167
7 -4 23
O A. x+ 5y = -16
x - 4y = 23
OB. 4x + 5y = -16
7x - 4y = 23
C. 4x + 5y = -16
7x + 4y = 23
9514 1404 393
Answer:
B
Step-by-step explanation:
In order for the matrix to represent the equations, the coefficients in the equations need to match the terms in the matrix. That is only the case for choice B.
__
Details are important in math.
Find all derivatives of y^n of the function y=√x+5
Hello,
As somebody has distroyed my question, (may be he have not understood ?)
i will reply to y=(√x)+5
[tex]\displaystyle \boxed{\dfrac{d^n y}{dx^n} =(-1)^n*n!! *\dfrac{1}{2^n} *x^{-\frac{2n+1}{2} }\\}\\y'=\dfrac{1}{2} *x^{-\frac{1}{2}} \\\\y''=-\dfrac{1}{4} *x^{-\frac{3}{2}} \\...\\[/tex]
Find the value of each shape so that they will add up to give you the specified sums in each row and each column.
How does this solving problem relate to system of equations?
Answer:
Step-by-step explanation:
ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=1). write your answer as a fraction.
Explanation:
P(T = 1) is the notation that means "The probability of getting exactly one tail". The table shows 3/8 in the bottom row, under the "1" in the top row. So that's why P(T = 1) = 3/8
Or it might make more sense to say P(one tail) = 3/8 so we don't have too many equal signs going on.
help me please if you can't don't touch it
Answer:
option B : 31.4 cm
Step-by-step explanation:
Given radius , r = 5cm
Circumference = [tex]2 \pi r[/tex]
= 2 x 3.14 x 5
=10 x 3.14
= 31.4 cm
Answer:
b. 31.4
Step-by-step explanation:
The radius of the circle can be plugged into C=(pi)2r. So 5x2= 10 and 10x(pi)= 31.4
a binomial distribution
has 30% rate of SUCCESS.
there are 6 triats. what
is probability that there
will be exactly 2 Successes
Answer:
0.324
Step-by-step explanation:
Given that :
Success rate = 30%
p = 30% = 0.3
q = 1 - p = 1 - 0.3 = 0.7
Number of trials, n = 6
Probability of having exactly 2 successes ; x = 2
P(x = 2)
Usibgbtge binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 2) = 6C2 * 0.3^2 * 0.7^4
P(x = 2) = 15 * 0.3^2 * 0.7^4
P(x = 2). = 0.324135
P(x = 2) = 0.324
The area of a triangular sign is 6x² + 24x What is the measure of the base? (View attachment)
Answer:
[tex]2x + 8[/tex]
Step-by-step explanation:
Area of triangle equal
[tex] \frac{b \times h}{2} = a[/tex]
where b is the base and h is the height.
Plug in what we know.
[tex] \frac{b \times 6x}{2} = 6 {x}^{2} + 24x[/tex]
Multiply 2 by both sides.
[tex]b \times 6x = 2(6 {x}^{2} + 24x)[/tex]
Divide 6x by both sides.
[tex]b = \frac{12 {x}^{2} + 48x }{6x} = 2x + 8[/tex]
Which of the following phrases are expressions?
Answer:
C ,D , E just follow it . thank me later if its right
Answer:
E
Step-by-step explanation:
(10+7)(50+1)
=17×51
=867
ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=1). write your answer as a fraction.
Answer:
[tex]P(T = 1) = \frac{3}{8}[/tex]
Step-by-step explanation:
The table, along with the relative frequency chart, state that the probabilities are:
[tex]P(T = 0) = \frac{1}{8}[/tex]
[tex]P(T = 1) = \frac{3}{8}[/tex]
[tex]P(T = 2) = \frac{3}{8}[/tex]
[tex]P(T = 3) = \frac{1}{8}[/tex]
Find the probability P(T=1)
As given by the table, and by the relative frequency chart, [tex]P(T = 1) = \frac{3}{8}[/tex]
22 hours. A
Silas ran 100 m race at a speed of 8 m/s. How long did it take him to com-
plete the race?
Answer:
100/8 = 12.5 (s)
Step-by-step explanation:
hmm bro
Answer:
[tex]{ \boxed{ \tt{formular : { \bf{ \green{time = \frac{distance}{speed} }}}}}} \\ time = \frac{100}{8} \\ { \boxed{time = 12.5 \: seconds}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
Calculate the unit price. Round to the nearest cent, if necessary.
0.75 lb of salami for $2.65
$4.64 per lb of salami
$2.65 per lb of salami
$3.53 per lb of salami
$1.99 lb of salami
per
Answer:
$3.53 per lb of salami
Step-by-step explanation:
0.75 lb of salami for $2.65
The price per of salami will be :
0.75 lb = $2.65
1 lb = x
Using cross multiplication :
0.75 * x = $2.65 * 1
0.75x = $2.65
Divide both sides by 0.75
0.75x / 0.75 = $2.65 / 0.75
x = $3.533
This means that :
The price per unit of salami is $3.53
Answer:
0.75 lb of salami for $2.65 is $3.53 per lb of salami.