Answer:
In a graph, the x-intercept will be the point in which the line crosses the horizontal line of the plane.
The y-intercept is found when the line crosses the vertical line of the plane.
In an equation, y = mx + b, the y-intercept is the value of b, and the x-intercept is shown when y = 0. (substitute y for 0 and find the value of x)
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.
Simplify the expression -2 (x + 4 + 5y).
Answer:
-2x-10y-8
Step-by-step explanation:
Rearange terms
-2(x+4+5y)
-2(x+5y+4)
Distribute
The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?
Which expressions have exactly two factors? Choose ALL that apply.
Please Help
Answer: xy and 3(b - 1 )
Step-by-step explanation:
Answer:
Step-by-step explanation:
this expression is xy and 3(b-1)
Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.
Răspuns:
292,50
Explicație pas cu pas:
Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17
Suma principală depusă, P = 250
Suma totală, A după 1 an poate fi calculată astfel:
A = P (1 + rt)
Unde ; r = rata dobânzii; t = timp
A = 250 (1 + (0,17 * 1))
A = 250 (1,17)
A = 292,5
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
in the diagram below, de is parallel to xy. what is the value of y
can someone please help with this? will give brainliest
Answer:
0.004
Step-by-step explanation:
Just mutiply and divide by 2
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit on the coordinate plane is equal to one mile. He draws a point at $\left(4,\ 3\right)$ to represent the location of his house. The store is $5$ miles away from his house. Which coordinate pairs could represent the location of Sheldon's favorite clothing store?
Answer:
hjgfghjk
Step-by-step explanation:
:)
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
Which expression is equivalent to -3(m + 5)?
A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.
the answer is -3m - 15 .
hope it helps you
Find the value of x. 4 х 25 10 X = = [?]
Answer:
X=10
Step-by-step explanation:
The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%
Answer:B
Step-by-step explanation:
2.45(0.35)= 0.8575+2.45= 3.30
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
Theo earned £15400 last year and spent 6% of his money on making home improvements. Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
Answer:
15400 ÷ 6/100
Step-by-step explanation:
next step do yourself
I hope it will help you
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Hi if u could help me that'd be great
Answer:
1 hour and 45 minutes
and 1 hour
Step-by-step explanation:
x= run
y= walk
5x+2.5y = distance
5x+2.5(1.5)=12.5
solve for x
5x=8.75
x=1.75
1.75 in hours is 1 hour and (60*.75)=45
1 hour and 45 minutes
" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"
We use the same equation
5x+2.5y=distance
we'll assume that they till walked 12.5 miles
which means that
5(2)+2.5y=12.5
solve for y
2.5=2.5y
y=1
1 hour
Answer:
Everybody, everybody
Get out on the floor
It can get a little crazy
When the kick hits the floor
Make a scene Make a scene
Nobody can ignore
Don't knock it, til you rock it
We can't take it no more!
Bring the lights up!
Bust the doors down!
Dust yourself off,
Shake it up!
Shake it up!
DJ set it off!
Take it up a notch
All together now!
Shake it up!
Shake it up!
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
How should the decimal point in 4.003 be moved to determine the product of 100 × 4.003?
brainliest if right easy question
move it 1 place to the right
move it 2 places to the right
move it 3 places to the right
move it 4 places to the right
Answer:
Two places to the right.
Step-by-step explanation:
Since theres two zeros in 100, move the decimal two places to the right, making it 400.3.
3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.
Answer:
6.2%
Step-by-step explanation:
Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%
I WILL GIVE BRAINLIEST
The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.
4(3.8 – 5.9) – 0.5
Which statement is true?
Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.
Answer:
b I think ..................
Answer:
I am like 80% sure it is B so. :)
Step-by-step explanation:
What is the relationship of the angles
Answer:
alternate interior
Step-by-step explanation:
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
What is the answer???
