Answer:
(y+2)²-(x+1)²/1=1
Step-by-step explanation:
No Clue what this is so I looked it up✓
Find a polynomial f (x) of degree 5 that has the following zeros.
9, 6, -8, 7, 0
Leave your answer in factored form.
Answer:
[tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]
Step-by-step explanation:
If [tex]9=x[/tex] then [tex]x-9=0[/tex]
If [tex]6=x[/tex] then [tex]x-6=0[/tex]
etc.
So [tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]
Please help me and please dont say something thats not related to my post.
Answer:
The answer is 6 pounds Which is C
Step-by-step explanation:
If logb3=1.10, then logb27 = ____.
Step-by-step explanation:
27 = 3×3×3
logb(m×n) = logb(m) + logb(n)
logb(27) = logb(3×3×3) = logb(3)+logb(3)+logb(3) =
= 3×logb(3) = 3×1.10 = 3.30
Please help for this question what is the function and thanks
Answer:
b) local minimum at [tex]x=\frac{1}{e}[/tex]
c) Graph of the function is convex
Step-by-step explanation:
We are told that [tex]f'(\frac{1}{e})=0[/tex], which implies there is a turning/stationary point at [tex]x=\frac{1}{e}[/tex].
Substituting [tex]x=\frac{1}{e}[/tex] into [tex]f''(x)[/tex] will tell us if the turning point is a minimum or a maximum:
[tex]f''(\frac{1}{e})=\frac{1}{\frac{1}{e} } =e>0 \implies \textsf{local minimum}[/tex]
Therefore, statement a) is false and statement b) is true.
If the function has a minimum turning point, then this implies that the curve is convex. Therefore, statement c) is true.
Extremum = local min and max points.
We have already established that there is a local minimum at [tex]x=\frac{1}{e}[/tex], therefore statement d) is false.
I know this is not needed for this question, but here are the workings to detemine the equation of the function (I've also attached a graph). This supports the answers above.
[tex]\textsf{if} \ f''(x)=\frac{1}{x}\\\\\implies f'(x)=\int f''(x) \ dx \\\\\implies f'(x)=ln|x|+C\\[/tex]
[tex]\textsf{if} \ f'(\frac{1}{e})=0\\\\\implies ln|\frac{1}{e}|+C=0\\\\\implies -1+C=0\\\\\implies C=1\\\\[/tex]
[tex]\implies f'(x)=ln|x|+1\\[/tex]
[tex]\textsf{if} \ f'(x)=ln|x|+1\\\\\implies f(x)=\int f'(x) \ dx\\\\\implies f(x)=xln(x)-x+x+C\\\\\implies f(x)=xln(x)+C[/tex]
Sarah is planning to take
aerobics classes at a gym.
Non-members pay $8 per
class, while members pay $4
per class and a $20
membership fee. If Sarah
plans to take 6 aerobics
classes, should she become a
member of the gym? Explain
why or why not?
Answer:
Yes
Step-by-step explanation:
Non members - 8*6 = $48
Members - 20+(4*6) = $46
She should become a member of the gym because she will pay $2 less overall.
Answer:
Sarah should become a member. She would be paying a lot less money and be able to take more classes for cheaper
Step-by-step explanation:
Non member amount for 6 classes- $8*6= $48
Member amount for 6 classes- $4*6= 24 ($20 fee) = $44
As you can see above, the cost for 6 classes with a membership is cheaper than without a membership
You take out a car loan for $7,300 at an interest rate of 4.2% for a duration of 5 years
compounded quarterly. What is the total amount that you will pay back to the bank?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7300\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &5 \end{cases} \\\\\\ A=7300\left(1+\frac{0.042}{4}\right)^{4\cdot 5}\implies A=7300(1.0105)^{20}\implies A\approx 8996[/tex]
Please help ! I do not understand the question and do not know the answer
PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho
Step-by-step explanation:
substitute y = 7x + 3 in equation 2
9x - 2y = 14
9x - 2(7x + 3) = 14
9x - 14x + 6 = 14
-5x + 6 = 14
-5x = 14 - 6
x = 8 ÷ 5
x = 1.6
subs x = 1.6 into equation 1
y = 7x + 3
y = 7(1.6) + 3
y = 11.2 + 3
y = 14.2
thus, x = 1.6, y = 14.2
Which of the following is an example of a rational number?
The temperature was recorded at several times during the day
Answer:
This doesn't make sense?
Step-by-step explanation:
What is the question?
At a hockey game, a vender sold a combined total of 217 sodas and hot dogs. The number of sodas sold was 59 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold
Answer:
sodas sold = 138
hot dogs sold = 79
Step-by-step explanation:
let s = number of sodas sold
let h = number of hot dogs sold
equation 1: h + s = 217
equation 2: h + 59 = s
Substitute equation 2 into equation 1 and solve for h:
⇒ h + (h + 59) = 217
⇒ 2h + 59= 217
⇒ 2h =158
⇒ h = 79
Substitute found value of h into equation 2 and solve for s:
⇒ 79 + 59 = s
⇒ s = 138
answer:
number of hot dogs is 79
number of sodas is 138
explanation:
let the number of hot dogs sold be xthen number of sodas is x + 59solve:
Therefore:
x + x + 59 = 217
2x = 158
x = 79
79 hot dogs
now find [ x + 59 ], number of soda's79 + 59
138 sodas
Evaluate piecewise functions
Answer:
Step-by-step explanation:
f(t)=t²-5t , t≤-10
f(-10)=(-10)²-5(-10)=100+50=150
12. Suppose n is an integer. Select all statements below that are true: (3 points)
n?+n is always an even integer
nun is always an even integer when n is even
n+n is always an even integer when n is odd
n +n is never an even integer when nis odd
n2+ n is is never an even integer
n2 +n is sometimes an even integer
Three pens cost $1.80. How many pens can you buy for $6?
Answer: 10
Step-by-step explanation:
3 = $1.80
1 = $0.60
$6 = 10 pens
Four movie tickets cost $34.00. How much do seven movie tickets cost?
Answer:
7 movie tickets 59.5
Step-by-step explanation:
divide 34 by 4 and then you get 8.5 then multiply that by 7
solve for v. 29 = -6 + 5v
Select the expressions that are equivalent to -6c - 2c.
A. -7c + c -2c
B. c • -8
C . -c - 6c
B. -9c
Answer:
A and B both equal -6c - 2c
Complete the inequality 6 1/2 gal 22 1/4
Answer: x+7>9.
Step-by-step explanation: if that not correct im gonna beat my brother so bad cuz he told me to write that.
solve
[tex] {x}^{2} + \frac{9x}{2} = \frac{5}{2} [/tex]
pls I. need it Thx
Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x=1/2,−5
Decimal Form:
x=0.5,−5
Step-by-step explanation:
branliest
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.
(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm
Answer:
(B) 18 cm × 8 cmStep-by-step explanation:
Perimeter of a rectangle = 52 cm
2(length + width) = 52 ==> l + w = 26
Let x be the length
width = (x/3) + 2
x + (x/3) + 2 = 26
[(3x + x)/3] + 2 = 26
4x / 3 = 24
4x = 24 (3)
x = 6(3) ==> 18 cm
Width = (18/3) + 2
= 6 + 2 = 8 cm
So, the required dimension is 18 cm x 8 cm.
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Thank You!
Answered by: ms115
Answer:
B. 18 * 8.Step-by-step explanation:
Let the perimeter be:
52 cm.Find the numbers for the perimeter:
For A:
(12 cm + 4 cm) * 2 = 32.That means A is incorrect.
For B:
(18 + 8) * 2 = 52 cm.That means B is correct.
For C:
(15 + 9) * 2 = 48 cm.That means C is incorrect.
Correct choice is B.
Your dinner bill was $58.00. If you leave a 20% tip, how much will the tip be?
Answer:
Ask yourself what a percentage means. It means out of a hundred.
20 percent is basicallly 20/100
20/100 is 0.2
So 20 percent of 58 is asking-
0.2*58 = ?
Solve and you’ll get
$11.60
please helppppppppppppppppppppppp
Find the value of a in the parallelogram. (a, AB, BC, CD, AD). Pls show work
Step-by-step explanation:
Hope it will helps you..
Your photo is so unclear ..but i try my best to understand...
The 5th grade classes at Brookfield School used 5 identical buses to go on a field trip.
There were a total of 40 seats on each bus.
All of the seats on 4 buses were filled.
The fifth bus had 4/5 of the seats filled.
1/8 of all the passengers on the buses were adults.
How many adults went on the field trip with the 5th grade classes?
1/8 x 5 = 5/8
5/8 of the passengers were adults :)
Which one of the following is NOT a right triangle?
a
9, 12, 15
b
8, 15, 17
c
7, 24, 25
d
10, 16, 19
Answer:
I think its B
Step-by-step explanation:
What is an equation of the line that passes through the points (-7, -7) and (-7, 4)?
just answer
Since you requested for only the answer, here you go:
the slope is 0
The y int is none
the equation is
x=-7
PLEASE HELP I'LL GIVE BRAINLY AND POINTS
Simplify the expression
1/5 (-15w - 20) + 1/2 (3 - 4w)
Answer:
-5w - 5/2
Step-by-step explanation:
hope it helps
Which exponential function matches the table?
х
0
1
2
3
4
f(x)
27
9
3
1
1
3
A. f(x) = 27(3)*
=
OB. f(x) = 27(3)*
OC. f(x) = 3(1)
3*
O D. f(x) = 27(0)
*
C.
х
=
Answer:
Option B is the correct answer.
Step-by-step explanation:
[tex]f(x)=27\bigg(\frac{1}{3}\bigg)^x[/tex] matches the table.
• When x = 0
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^0= 27*1=27[/tex]
•When x = 1
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^1= 27*\frac{1}{3}=9[/tex]
•When x = 2
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^2= 27*\frac{1}{9}=3[/tex]
•When x = 3
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^3= 27*\frac{1}{27}=1[/tex]
•When x = 4
[tex]\implies f(x)=27\bigg(\frac{1}{3}\bigg)^4= 27*\frac{1}{81}=\frac{1}{3}[/tex]
Solve for m
bm + h = 9x
࿐αɴѕωєя࿐
m = 93 - h / b
Step-by-step explanation:
bm + h = 93
bm = 93 - h
m = 93 - h / b
Hope it helps ⚜
How can you find the perimeter of the rectangle by only knowing its area
Answer:
It's not possible to determine the perimeter of a rectangle given only the area. The area of a rectangle depends on two unknowns, the length and the width, so you must be given at least one side of the rectangle along with the area to determine the other side and, thus, the perimeter
Step-by-step explanation:
Answer:
It is not possible to determine the perimeter of a figure given its area.