Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
A jewelry store is having a sale, and all items are 15% off. If a necklace was originally price at $85.00, what is the sale price?
1. Solve 4x – 5 > 2x + 17.
There’s a line _ under the greater sign
Answer:
X is grater than or equal to 6
Step-by-step explanation:
4x -5 > 2x + 17
+5 > 2x - 5
4x > 2x + 12
--
4
f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)
Answer:
(f*g)(x) = 3x³+12x²-7x-28
Step-by-step explanation:
What (f*g)(x) means is that we multiply f(x) by g(x):
f(x) = x+4
g(x) = 3x²-7
(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28
Consider the following, what is the summation of all solutions?
(2x+4)^2+1=5
Answer:
- 4
Step-by-step explanation:
(2x + 4)² + 1 = 5 ← expand left side using FOIL and simplify
4x² + 16x + 16 + 1 = 5
4x² + 16x + 17 = 5 ( subtract 5 from both sides )
4x² + 16x + 12 = 0 ( divide terms by common factor 4 )
x² + 4x + 3 = 0 ← in standard form
(x + 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 1 = 0 ⇒ x = - 1
Summation of solutions = - 3 + (- 1) = - 3 - 1 = - 4
Find the value of m if 2y³+my²+11y+m+3 is exadly divisible by (2y-1)
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that:
[tex]\sf p(y) = 2y^3+my^2+11y+m+3 [/tex]
We are also given that, p(y) is divisible by 2y - 1.
So, 2y - 1 is a factor of p(y).
[tex]\sf\longmapsto 2y-1=0[/tex]
[tex]\sf\longmapsto y=\dfrac{1}{2}[/tex]
So, 1/2 is a zero of p(y).
[tex]\sf\longmapsto p(1/2) =0 [/tex]
[tex]\sf\longmapsto p(y) = 2y^3+my^2+11y+m+3 [/tex]
[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{2}\right)^3+m\left(\dfrac{1}{2}\right)^2+11\left(\dfrac{1}{2}\right)+m+3 [/tex]
So,
[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{8}\right)+m\left(\dfrac{1}{4}\right)+11\left(\dfrac{1}{2}\right)+m+3 [/tex]
[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = \dfrac{1}{4}+\dfrac{m}{4}+\dfrac{11}{2}+m+3 [/tex]
[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) =\dfrac{1}{4}+\dfrac{m}{4}+\dfrac{22}{4}+\dfrac{4m}{4}+\dfrac{12}{4} [/tex]
[tex]\sf\longmapsto 0 =\dfrac{1+m+22+4m+12}{4} [/tex]
[tex]\sf\longmapsto 0 =\dfrac{5m+35}{4}[/tex]
[tex]\sf\longmapsto 5(m+7)=4\times0[/tex]
[tex]\sf\longmapsto 5(m+7)=0[/tex]
[tex]\sf\longmapsto m+7=0[/tex]
[tex]\longmapsto\bf m=-7[/tex]
Therefore, the value of m is -7.
Convert the equation − x − 2 y = 8 from standard to slope-intercept form
Answer:
y = -1/2x - 4
Step-by-step explanation:
We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.
-x - 2y = 8
-2y = x + 8
Now that we have y on one side, we can divide everything by -2.
-2y/-2 = x/-2 + 8/-2
y = -1/2x - 4
That looks like y = mx + b form.
If you have any further questions or need clarification on anything, let me know!
Ms. Reynold's sprinkler system has 4 stations that water all parts of her front and back lawn. Each station
runs for an equal amount of time. If it takes 36 minutes for the first 3 stations to water, how long does it
take to water all parts of her lawn?
It will take 46
minutes for Ms. Reynold to water her lawn.
Answer:
It will take 48 minutes to water all parts of her lawn.
Step-by-step explanation:
Each section runs for an equal amount of time
3 sections have run for 36 minutes
36 divided by 3 is 12, meaning each section runs for 12 minutes
12 times 4 is 48
What are the slope and y-intercept of the linear function?
2
-3 -2 -1.
2
оа
Oь
slope:-2: y-intercept: 2
1
slope: 2 :y-intercept: 1
Ос
1
slope: 2 :y-intercept: 2
slope: 2; y-intercept: 1
Od
HELP ME SOLVEEEE !!!!!
Answer:
y=2
Step-by-step explanation:
y+7=9(y-1)
y+7=9y-9
y-9y=-9-7
-8y=-16
y=2
_________
[tex] \: [/tex]
[tex] \frac{1}{3} (y + 7) = 3(y - 1)[/tex]
[tex] \frac{y + 7}3 = 3(y - 1) [/tex]
[tex]y + 7 = 9(y - 1)[/tex]
[tex]y + 7 = 9y - 9[/tex]
[tex]y - 9y = - 9 - 7[/tex]
[tex] - 8y = - 16[/tex]
y = 2✔
6.) The candyman spent $100 on his new costume to scare little kids and has $25 left. His
hourly pay is $5. How many hours did he work to afford his new costume, plus the $25?
Answer:
the answer is 30 or 5
Step-by-step explanation:
tvgnfjh
9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.
Answer:
11400000
Step-by-step explanation:
1 whale = 380000 lbs
30 whale weighs 380000×30
30 whales = 11400000
I will give Brainliest :)
Answer:
Step-by-step explanation:
A grocery store sells several different types of coffee beans by the pound. The grocery store has the coffee beans that are listed in the table.
Coffee Bean Type Weight (lb)
Arabica 9/10
Robusta 5/6
If the coffee beans are sold in 1/16 -pound bags, there are ? 12 , 13 , 14, 16 which one ??...
full bags of Arabica coffee beans.
i wouldnt know since i dont like coffee
A scale model of the Great Pyramid of Giza is being installed in a museum. The edges of the square base have lengths of 5.6 feet and the height of the pyramid is 7.86 feet. Using these measurements, to how many significant figures could the volume of the pyramid be reported? Please help !!!
A. 1 significant figure
B. 2 significant figures
C. 3 significant figures
D. 4 significant figures
The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.
Since in multiplication, we cannot have more significant figures than the number with the least significant figures. So, the number of significant figures in our volume of the pyramid will be 2 since, the length of side of its square base measures 5.6 feet which is one significant figure less than that of its height which is 7.86 feet.
Since volume = area of base × height
volume = 5.6 × 5.6 × 7.86 ft³
So, the answer volume of the pyramid will have 2 significant figures.
The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.
Learn more about significant figures here:
https://brainly.com/question/23396760
16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN
Answer:
Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm
The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again
3. A company that makes scarves has many
different styles and colors that people can order.
The company keeps track of the number of each
style/color combination they make and the
average sale price for the scarves having that
combination. They create a scatter plot using the
data with the number of scarves along the x-axis
and the average price per scarf, in dollars, along
the y-axis.
The data in the graph suggest a linear
relationship. Which of the following could
represent the regression equation? (2 pt)
Answer: y=−0.004x+5
Step-by-step explanation:
Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.
Answer:
$18.74
Step-by-step explanation:
To find the sale price:
22 * 0.2 = 4.4
22 - 4.4 = 17.6
or, you can just multiply by 0.8, so you wont need to subtract later
22 * 0.8 = 17.6
Then, you need to find the tax amount:
17.6 * 6.5 = 1.144
17.6 + 1.144 = 18.744
Round
18.74
How many years will it take an investment of
$3,000 to double itself when interest is
compounded monthly at 8%? Round your answer to
the nearest year.
Answer:
The nearest cent is going to be %1.00 So it’s B girla
Step-by-step explanation: i think it is
90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie. Altogether 3/5 of the people said Yes.
3/10 of the women said Yes.
What percentage of the men said No? (Show your working)
(THE ANSWER SHOULD BE 20% BUT HOW TO PROVE THAT????)
HELP ME PLEASE
2 1/7 x 1/3 in lowest terms??
Help please
25 points for the right answer
Answer:
5/7
Step-by-step explanation:
2 1/7 x 1/3
= 15/7 × 1/3
= 15 × 1/7 × 3
= 15/21
= 15 ÷ 3/21 ÷ 3
= 5/7
What does it mean to “solve” the following equation for y.
Paul is shopping for laundry detergent. At the grocery store, the liquid detergent is pricedat $14.99 for 64 loads of laundry and the same brand of powder detergent is priced at$15.99 for 80 loads. Which is the better buy, the liquid or the powder detergent?
Answer:
15.99 is better
Step-by-step explanation:
because when working with dividing decimals we need to make it a whole number so we would move it over to the right till it is a whole number (which is two spaces) but first we need to put our decimal in our quotient so two spots. and 1499 divided by 64 equals 23.421875 and 1599 divided by 80 equals 19.9875 so the 15.99 dollar one is a better deal.
Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year. The other offers a starting salary of $28,000 plus a raise of $1,800
when the two jobs will have the same salary?
The difference in starting pay:
32,000 - 28,000 = 4,000
The difference in raises:
1,800 -1,000 = 800
Number of years to be the same:
4,000 / 800 = 5
Answer 5 years
Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.
The other offers a starting salary of $28,000 plus a raise of $1,800.
The difference in starting pay:
Thirty two thousand minus twenty eight thousand equal to four thousand.
32,000 - 28,000 = 4,000
The difference in raises:
Eighteen thousand minus thousand equal to eight hundred.
1,800 -1,000 = 800
Number of years to be the same:
4,000 / 800 = 5
Hence after 5 years the two jobs will have the same salary.
To learn more on Equations:
https://brainly.com/question/10413253
#SPJ5
Find the S.S. of the equation (x+5)2 =(x+5) in R
Answer2x +10=x+5
⇒x=5
Step-by-step explanation:
2x-x=10-5
⇒x=5
Please help i will give 100 points
First:
X = 15
Step-by-step explanation:
So the two angles are congruent, or they are the same angle. So you write the equation as 5x + 9 = 84.
5x + 9 = 84
-9 -9
5x = 75
(divide) 5 from both sides
x = 15
Second:
X = 27
Step-by-step explanation:
For this one I believe the answer is X = 27 because both equations should equal 180 degrees.
So you write the final equation:
(x + 72) + (3x) = 180
-72 -72
(combine X's):
4x = 108
Divide both sides by 4
X = 27
Third:
X = 40
Step-by-step explanation:
For this one, the angles match again, so you write it s:
4x - 50 = 2x + 30
+50 +50
4x = 2x +80
-2x -2x
2x = 80
Divide both sides by 2
X = 40
End
I super hope this helped!
Maybe brainliest? No pressure!
Let me know if this works or you need more help!
Find an equation for the graph below
Answer:
y=4/5x-0.8
Step-by-step explanation:
I'm sad
What is 2x9/6+5
Answer:
8
Step-by-step explanation:
PEMDAS, Parentheses, Exponents, Multiply, Divide, Add, Subtract
First, I multiply, not because it comes first in pemdas, but because you go left to right. So 2x9=18 and then you divide, 18/6=3 and then you add, 3+5=8. If you have any question I will be here!
Which is the graph of f(x) = 5(2)*?
O
40
20
(2, 20)
(0.5)
4 -3 -2 -1
1 2
3
4
5 6 x
Answer:
the graph is this one , I send the picture
Explain why there is not enough information to state that CP is the perpendicular bisector of AB.
Answer:
First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.
Step-by-step explanation:
A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.
-kiniwih426
find the next two terms of this sequence.please help.
Answer:
12, 3
Step-by-step explanation:
i think so but you could wait for another answer but im not sure of my own
Answer: 28 and 20
Step-by-step explanation:
52 - 44 = 8
44 - 36 = 8
36 - [tex]x_{1}[/tex] = 8
[tex]x_{1}[/tex] = 28
28 - [tex]x_{2}[/tex] = 8
[tex]x_{2}[/tex] = 20
please give me a brainliest answer