Answer:
Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)
Step-by-step explanation:
To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.
We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]
For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]
For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]
For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]
Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].
A triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters.
Which figure represents this triangle?
709
50
O
20
50
2009
70
o
500
709
20
20
70°
50°
Answer:
Step-by-step explanation:
Given :-
Two angles in a triangle have measurements of 20° and 50 °.
To Find :-
Measurement of third angles of triangle
Solution :-
We know that the sum of all angles of triangle is 180°.
Measurement of third angles = x
20° + 50° + x = 180°
combine like terms
70° + x = 180°
subtract both sides from 70°.
70° - 70° + x = 180° - 70°
x = 110 °
Hence, the measurement of the third angie of a triangle is 110°.
Answer:
The third option is the correct answer.
The refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollar and cents?
Answer:
$31.53
31 dollars 53 cents
Step-by-step explanation:
6% is equal to 0.06.
0.06 * 525.50 = 31.53.
Hope this helps
A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?
Answer:
7.6%
Step-by-step explanation:
First the decrease
(100-12)%=88%
then the increase
(88)(1.05)=92.4%
The total decrease
(100-92.4)% = 7.6%
Hope this helps
I NEED HELP!!!!!
4. Three bags of Skittles and two bags of M&M's
weigh 3 pounds. Four bags of Skittles weigh 3
pounds. All bags of skittles weigh the same, and
all bags of M&M's weigh the same. What is the
ratio of the weight of a bag of Skittles to a bag of
M&M's?
Answer:
Step-by-step explanation:
How many Skittles is in a 4 pound bag?
Fun-size packages are perfect for parties, party favors, trick-or-treaters, gift baskets, lunch treats and on-the-go snacks. Approximately 20 individual packs per lb.
...
Skittles Fun-Size Packs, 4-Lb Box.
Find the slope of the line on the graph. Write your answer as a fraction or whole number, but a mixed number or decimal.
Answer:
-1/4
Step-by-step explanation:
Rise over run
Rises -1 runs 4
slope = -1/4
1
Renee is comparing prices from Kay's Catering and Weddings 'R' Us to serve the meals for her wedding
dinner. The catering cost, c, for each catering service Renee is considering, based on x meals served, is
shown on the coordinate grid.
Catering Cost for Wedding
2000
1800
1600
Kay's Catering
A
1400
1200
1000
C= 10m + 800
C = 15m + 400
Catering Cost ($)
800
Weddings 'R' US
B
C =
600
5m + 800
am + 800
400
200
C=
10 20 30 40 50 60 70 80 90 100
Number of Meals
с
C= 800m + 10
C = 400m + 15
Which system of equations is best represented by this graph?
D
C = 3m + 1,600
C =
M + 80
Answer:
5000
Step-by-step explanation:
Latex paint sells for $21 per gallon and will cost you $210 to paint your room. If each gallon will cover 300 square feet, how many square feet of wall space do you have in your room?
square feet
Answer: 3000 square feet
Step-by-step explanation: 21x10=210 . 300x10=3000
Angle wxz is congruent to angle zxy. Find the value of X
Answer:
x = 18
Step-by-step explanation:
Congruent angles have equal measures.
74° = (4x +2)°
72 = 4x . . . . . . divide by °, subtract 2
18 = x . . . . . . . divide by 4
I want a way to solve this question
Answer:
Step-by-step explanation:
[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]
∠L=60°
charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later what fraction of the original cake did he wrap
Answer:
He wrapped 3/4 of the cake.
Step-by-step explanation:
1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4
- Hope this helps!
5cm
10cm
Q
Q2
Q3
Referring to the diagram above.
if Q1 = 9.0 uC, Q2 = -5.0 uC and Q3 = 32.0 uc,
what is the magnitude of the electric field at Q2, due to Q1 and Q3?
Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours
Answer:
260 miles in 4 hours equals (260 / 4) = 65 miles per hour
In 10 hours she can drive 650 miles
Step-by-step explanation:
Solve the evens and I will mark you brainliest when available.
Answer:
The solution is in the photo
factorise
18p+6
please im so bad
brainless for the person who gets this right!
which expression its equivalent
Learning Task 1: Write the fraction of each shaded figure. Find the sum. Write your answer in your notebook.
Please is anyone can help me please
1. 3. 3. 1.
4. 2
2. 5. 4. 6.
9. 13
5. 3. 6. 7.
5. 9
Step by step explanation:
hopefully that's help
find the value of X in the following figures
Answer: 70
Step-by-step explanation:
Diagonals of a rhombus bisect each other at right angles, so
[tex]x+20=90\\\\x=\boxed{70}[/tex]
Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed
Answer:
Step-by-step explanation: This is the answer
1) Use the distributive property to write an expression that is equivalent to 8(a + 4).
8(a + 4) = _a + _
Solve the following equation 2x-17=-53
Step-by-step explanation:
2x - 17 = - 53
2x = - 53 + 17
2x = - 36
x = - 36/2
x = - 18
Answer:
x = -18
Step-by-step explanation:
2x - 17 = -53
+17 = + 17 Add 17 to both sides
2x = -36
x = -36 ÷ 2 Divide by 2
x = -18
The graphs below have the same shape. What is the equation of the blue graph?
G(x) =
O A. G(X) = x^2 + 1
O B. G(X) = (x - 1)^2
O C. G(X) = (x + 1)^2
O D. G(x) = x^2-1
Answer:
c) G(x) = (x + 1)**2
Step-by-step explanation:
A function left shift is x + shift and a right shift is x - shift.
Solve two eighths times four fifths
Answer:
8/40 or 1/5
Step-by-step explanation:
2x4=8
8x5=40
That gives us the answer of 8/40 but if you need simplifying just divide 8/40 by 8/8 and you will get the final answer of 1/5
if 5a+b=14 then a = what
explain how you got it pls
Answer:
[tex]a = \frac{14 - b}{5}[/tex]
Step-by-step explanation:
The rule to know and follow is:
You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;
5a + b = 14
If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;
Firstly, we subtract b from both sides:
5a + b - b = 14 - b
5a = 14 - b
Then, divide both sides by 5:
[tex]\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}[/tex]
How to find the derivative???
[tex]e^{2x} = \ln(y^3)\\\\\implies e^{2x} = 3 \ln y\\\\\implies \dfrac{d}{dx} e^{2x} = 3\dfrac{d}{dx}( \ln y)\\\\\implies 2e^{2x} = 3 \cdot \dfrac 1y \cdot \dfrac{dy}{dx}\\\\\implies 3\dfrac{dy}{dx} = 2ye^{2x}\\\\\implies \dfrac{dy}{dx} = \dfrac{2y}3 e^{2x}[/tex]
Susan loaned Marcel $19,080 at an interest rate of 17% for 5 years. How much will Marcel pay Susan at the end of 5 years? Round your answer to the nearest cent, if necessary.
Jeremiah buys 6 tacos and 8 enchiladas for 60 dollars. Kennedy buys 3 tacos and 2 enchiladas for 18 dollars.
Answer:
What's the question lol
I need help on my homework.
Answer:
[tex] \frac{3}{4} > \frac{ - 2 + 2x}{4} \\ \\ (4 \times) \frac{3}{4} > \frac{ - 2 + 2x}{4} ( \times 4) \\ \\ 3 > - 2 + 2x \\ \\ 3 + 2 > - 2 + 2 + 2x \\ \\ 5 > 2x \\ \\ 5 \div 2 > 2x \div 2 \\ \\ \frac{5}{2} > x \\ \\ x < \frac{5}{2} [/tex]
I hope I helped you^_^
A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.
Answer:
y-9=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-3)
Manny has a garden that is 12 feet long and 9 feet wide. What is the perimeter of
Manny's garden?
Use the formula for perimeter, P =
2 (1 + w).
432 feet
O 33 feet
O 42 feet
216 feet
Answer:
42 ft
Step-by-step explanation:
2(L + W ) = P
2 (12 + 9) = P
2 (21) = P
42 = P
P = 42
Hemp bell bell help math
Answer:
This is indeed a function!
Step-by-step explanation: