Hello!
[tex]\large\boxed{a = -1}[/tex]
y = 2x³ + ax² - x + 3
Find the derivative using the power rule:
y' = 6x² + 2ax - 1
Substitute in the given slope and x value to solve for a:
3 = 6(1)² + 2(1)a - 1
3 = 6 + 2a - 1
4 = 6 + 2a
-2 = 2a
a = -1
Answer:
a = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Calculus
The definition of a derivative is the slope of the tangent line.
The derivative of a constant is equal to 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
y = 2x³ + ax² - x + 3
y'(1) = 3
Step 2: Differentiate
Basic Power Rule: y' = 3 · 2x³⁻¹ + 2 · ax²⁻¹ - 1 · x¹⁻¹ + 0Simplify: y' = 6x² + 2ax - 1Step 3: Solve for a
Substitute: 3 = 6(1)² + 2a(1) - 1Exponents: 3 = 6(1) + 2a(1) - 1Multiply: 3 = 6 + 2a - 1Combine like terms: 3 = 5 + 2aIsolate a term: -2 = 2aIsolate a: -1 = aRewrite: a = -1Find the x-intercept and y- intercept of the graph of 6x - 2y = - 6 Then graph .
Answer:
Step-by-step explanation:
Y intercept = (0,3)
X intercept = (-6,0)
(the equation graphed)
18. Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs 50¢ more than one bowl of soup, while one bowl of soup costs 50¢ more than one carton of juice. What would be the cost of each item: a carton of juice, a fruit cup, and a bowl of soup?
Answer: bowl of soup=$1.75
carton of juice=$1.25
fruit cup=$2.25
Step-by-step explanation:
j=carton of juice. f=fruit cup. s=bowl of soup.
9j=5f
f=s+0.5 ==> 0.5 dollars is 50 cents
s=j+0.5
j=s-0.5
9(s-0.5)=5(s+0.5)
9s-4.5=5s+2.5
4s-4.5=2.5
4s=7
s=7/4
s=$1.75
s=j+0.5
1.75=j+0.5
j=$1.25
f=1.75+0.5
f=$2.25
True or False? A circle could be circumscribed about the quadrilateral below.
Answer: b. false
Step-by-step explanation:
Yes, A circle could be circumscribed about the quadrilateral below.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
A circle can be circumscribed around the four vertices of a quadrilateral
if and only if,
both pair of opposite angles inscribed in the quadrilateral are supplementary to each other.
By supplementary to each other we mean that their sum is equal to 180°.
we have,
In this case we have opposite interior angles supplementary to each other hence we can circumscribe a circle around it.
Such Quadrilateral are called cyclic quadrilateral.
Hence, Yes, A circle could be circumscribed about the quadrilateral below.
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PLEASE HELP!!!! WILL MARK CROWN!!
if a car can drive 25 miles a gallon and you need to drive 1,228 miles how much would it cost with the price of gas as it is now?
Answer:200.9
Step-by-step explanation:
im right
Since he's made of metal, Moby weighs a lot. In fact, Tim's weight is only 4 percent of Moby's weight. If Tim weighs 50 kg, how much does Moby weigh?
PLS HELP SHOW WORK IF POSSIBALE THANK YOU
Answer:
Moby weighs 1250Kgs
Step-by-step explanation:
Tim is 4% of Moby so
T =4%m
if T is for Tim and Tim weighs 50kgs then
50=4%m
100/4=25
25*50=1250
M = 1250Kgs
If it rains 6 inches in three weeks how many inches did it rain per week?
Answer:
2
Step-by-step explanation:
Ella measured the height of a in inches every week for four weeks after planting it what is the best prediction for the height of the plant after 12 weeks
Complete question is;
Elle Measured the height of a plant, in inches,Every week for four weeks after planting it.
The height of the plant, h, in inches, Can be modeled by the function h(t) = 1.5t + 3, where t represents the time in weeks.
Based on this model, what is the best prediction for the height of the plant after 12 weeks?
A 16.5 inches
B 21 inches
C 22.5 inches
D 27.3 inches
Answer:
Option B: 21 inches
Step-by-step explanation:
We are given the function h(t) = 1.5t + 3, where t represents the time in weeks.
At t = 0;
h(0): 1.5(0) + 3 = 3inches
At t = 1;
h(1): 1.5(1) + 3 = 4.5 inches
Thus, after 12 weeks, height will be;
h(12): 1.5(12) + 3 = 21 inches
Option B is correct
Sarah needs to make 20 same-size tablecloths using 35 yards of fabric. How many inches of fabric will she use per tablecloth?
Answer:
63 inches per tablecloth.
Step-by-step explanation:
35 / 20 = 1.75 yards per tablecloth,
= 1.75 * 36
= 63 inches.
I'LL BRAINLIST!!!!
solve each proportional
4/12= y/9
1.2/m= 3/5
y/5= 13/10
5/10= 8/w
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
Answer:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
Step-by-step explanation:
4/12=y/9 1/3 so y must equal 3
1.2/m=3/5 1.2x2.5=3 5÷2.5=2 m=2
y/5=13/10 10÷2=5 13÷2=6.5=y
5/10=8/w 5x1.6=8 w=19x1.6=16
I GIVE BRAINLILEST \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
H
Step-by-step explanation:
85 * 1.08 = 91.8
$91.80
Slope = 3/2, y-intercept = 0
what's the question?
the answer is y=3/2+0
Step-by-step explanation:
the equation for the answer is y=mx+b m repusents slope and the y-intercept repusents b i hope this helps you out.
Name another name for slope.
I’ll mark you brainlyist
Answer:
dip, tilt, slant, incline, descend
Monica makes tomato sauce with the plant she grows in her garden. She uses 3 basil leaves in her sauce for every eight tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden. How many basil leaves should Monica use in her sauce?
Answer:
0.995 P(at least 2) = 1 – P(X = 0) – P(X=1)
1 – 15C0 * 0.40 *0.615- 15C1*0.41*0.614
1 – 0.0000 – 0.005
= 0.995
Step-by-step explanation:
I need help identifying if it's a cube or square root function
The value of x for which 3 (x-2) = 2 (x+1)
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
3(x - 2) = 2(x + 1)
Step 2: Solve for x
Distribute: 3x - 6 = 2x + 2Subtract 2x on both sides: x - 6 = 2Add 6 to both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) = 2(8 + 1)Subtract/Add: 3(6) = 2(9)Multiply: 18 = 18Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
Whats the error? Tanya says that the product of a multiple of ten and a multiple of ten will always have only one zero. Is she correct? Explain.
No. A multiple of ten and a multiple of ten will always have at least 2 zeros.
What is the missing step in this proof?
A. ∠ABC ≅ ∠DBE
B. ∠BCA ≅ ∠BDE
C. ∠ACB ≅ ∠DEB
D. ∠BDE ≅ ∠ADE
E. ∠CAB ≅ ∠DAC
Answer:
The Answer is A) ABC is congruent to DBE
Step-by-step explanation:
Correct on PLATO
The missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
From the two triangles:
ΔABC and ΔDBE
As we can see in the two triangles, the angle ∠ABC and ∠DBE are the same.
So, by the reflexive property of congruence:
∠ABC ≅ ∠DBE
Thus, the missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
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Kavitha had some twenty-cent coins and ten-cent coins. The number of twenty-cent coins was 40% of the number of ten-cent coins. Kavitha had $5 worth of ten-cent coins. Find the total value of the coins. Model/Table:
x=40%(y)
5=.10y
y=5/ .10
y=50 10 cent coins
value of 10 cent coins = 5 dollars
x=40%( 50)
x=20 20 cent coins
20* .20= 4 dollars
5+4=9
she has 9 dollars worth of coins
200- 6 - (-3)
200 - (-2)
Answer:
200 - 6 - (-3) = 197 200 - (-2) = 202
Two people are pulling on a rope in order to get a 2250-kg car out of a mud puddle. One person pulls with a force of 600 N and the other pulls with a force of 800 N. There is a resistive frictional force of 1200 N. Use the acceleration found in the previous question to determine the distance they would pull the vehicle in 25s (answer with 2 digits, include properly abbreviated units) *
Answer:
Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,
600 N + 800 N - 1200 N = (2250 kg) a
Solve for the acceleration a :
200 N = (2250 kg) a
a = (200 N) / (2250 kg)
a ≈ 0.0889 m/s/s
Step-by-step explanation: I hope this helps!
Based on the family the graph below belongs to, which equation could represent the graph?
Plz, help me!!!!!!
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for the list price.
If the listing price for Candy Cane Creek is $778,095, how much commission would you receive?
Answer:
This is an percentage change question, by any chance you have a maths textbook, search for units that contains the topic: Percentage Change/Percentage. Now, let's get solving! :D
Step-by-step explanation:
First of all, you multiply 7% with $778,095 which gives: $54,466.65 (This is your commission/Answer)
Most currency questions use 1 decimal place, so I recommend you to use this answer: $54,466.7
Stay safe and Merry Christmas! :)
Answer:
he received commission amount =7% of $778,095=$54466.65
Step-by-step explanation:
commission =7%
marked price=$778,095
commission amount =7% of $778,095=$54466.65
Points..................
Write the given equation for the quadratic function in standard form.
9(x) = (x - 4) +11
I don't want a lot for Christmas
There is just one thing I need
I don't care about the presents
Underneath the Christmas tree
I just want you for my own
More than you could ever know
Make my wish come true
All I want for Christmas is you
I don't want a lot for Christmas
There is just one thing I need (and I)
Don't care about the presents
Underneath the Christmas tree
I don't need to hang my stocking
There upon the fireplace (I)
Santa Claus won't make me happy
With a toy on Christmas day
I just want you for my own (ooh)
More than you could ever know (ooh)
Make my wish come true
All I want for Christmas is you (you, baby)
I won't ask for much this Christmas
I won't even wish for snow (and I)
I just wanna keep on waiting
Underneath the mistletoe
I won't make a list… THE XMAS SPIRITTT
Answer:
I have this copied to my clipboard for me to past in comments!
Step-by-step explanation:
And it is CHRISTMAS do not X out Christ.
Mwah
Answer:
is this the All I want for christmas is you by mariah carey( I love the song )
Huey is reading a book that is 697 pages long. He tells a friend that he is about 3/4 of the way done. About how many more pages must Huey read before he finishes the book?
is it
A.160
B.175
C.250
D.150
Answer:
B. 175
Step-by-step explanation:
There are 2 ways that we can find the answer to this question:
1. Take 1/4 of 697
2. Take 3/4 of 697 and minus the product from 697.
Let's do it both ways:
If we are doing it the first way it would look like this:
(1/4)(697) = 175
Note that we get 1/4 because Huey already read 3/4 of the book so he has 1/4 left.
The second way would look like this:
(3/4)(697) = 523
679 - 523 = 174 (roughly 175)
Therefore, the answer to your question would be B. 175.
I hope this helps!!
- Kay :)
cauculate the mass of the sun
The mass of the sun using Newton's form of Kepler's 3rd law is;
M = 1.99 * 10³⁰ kg
How to calculate the mass of the sun?
Newton's form of Kepler's 3rd law shows us the orbit of a planet around the Sun. This relates the semi major axis distance of the orbit to the period of the orbit using the equation:
p² = (4π²/GM) * a³
Where:
p is the orbital period;
G is the gravitation constant;
M is the mass of the Sun;
a is the orbit semi major axis distance.
Making M the subject gives;
M = (4π²a³/Gp²
Plugging in;
Now for planet Earth:
a = 1.496 * 10¹¹m
p = 3.154 * 10⁷ s
Putting in those values to find M is;
M = 1.99 * 10³⁰ kg
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A lacrosse field is rectangular with a length of 110 yards and a width of 60 yards. Which side lengths could be used to create a scale drawing of the field?
The area of the Lacrosse field with a length of 110 yards and a width of 60 yards is 6600 yard²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The area of a rectangle is the product of its length and its width. A lacrosse field is rectangular with a length of 110 yards and a width of 60 yards, hence:
Area = length * width = 110 * 60 = 6600 yard²
Scale ratio can be 1:55
The area of the Lacrosse field with a length of 110 yards and a width of 60 yards is 6600 yard²
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On a spelling test, Lucy spelled 4
out of 5 words correctly. If Lucy
spelled 20 words correctly, how
many words did she misspell?
Answer:
5 words
Step-by-step explanation:
Describe the domain and range.
1. r(x) = | |x|
Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }
Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }
The domain of a function is defined as the set of values that we are allowed to enter into the function. This set is a bunch of x values in a function such as r(x).
The domain of the given function r(x) is all real numbers except where this expression, r(x) = |x| is undefined. In this question, there is no real number that makes this expression undefined.
The interval is denoted as ( −∞ , ∞ ).
The set builder is denoted as { x | x ∈ R }.
The range of a function is defined as the set of values that the function can assume. This set is a bunch of the values that the function shoots out after we enter a x value in. The range is a set of all valid y values. We have to use the graph to find the range.
The interval is denoted as [ 0 , ∞ )
The set builder is denoted as { y | y ≥ 0 }
Therefore, we get the domain and range as,
Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }
Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }
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