Answer:
-4/15
Step-by-step explanation:
Mathematically, we know that;
alpha= -b/a and beta = c/a
a refers to the coefficient of the x^2 which is 2
b is the coefficient of x which is 3
c is the last number which is 5
alpha = -b/a = -3/2
beta = c/a = 5/2
1/alpha = -2/3
1/beta = 2/5
so we have the sum as;
-2/3 + 2/5
= -5(2) + 3(2)/15 = (-10 + 6)/15 = -4/15
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
[tex]x = 5 \: and \: y = 1.[/tex]
Step-by-step explanation:
[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]
[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]
Multiply Equation no (1) with 2 and Equation no (2) with 7.
[tex]14 x + 8y = 78.[/tex]
[tex]14x + 28y = 98.[/tex]
[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]
[tex]0x + -20y = - 20[/tex]
[tex] - 20y = - 20[/tex]
[tex]y = \frac{ - 20}{ - 20} [/tex]
[tex]y = 1[/tex]
Substitute the value of "y" in Equation no (1)
[tex]7x + 4y = 39.[/tex]
[tex]7x + 4(1) = 39.[/tex]
[tex]7x + 4 = 39.[/tex]
[tex]7x = 39 - 4[/tex]
[tex]7x = 35.[/tex]
[tex]x = \frac{35}{7} [/tex]
[tex]x = 5.[/tex]
Answer:
[tex] \: 7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]
Hope it helps
8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
cubic kilometers, what is the height?
Hi there!
[tex]\large\boxed{h = 10km}[/tex]
We know that the equation for the volume of a pyramid is:
V = 1/3(bh)
We know that:
V = 200 km³
b = 12 × 5 = 60 km²
We can plug these into the equation:
200 = 1/3(60)(h)
Simplify:
200 = 20h
Divide both sides by 20:
200/20 = 20h/20
h = 10 km
helppp plzzz right nowwwwwwww
Answer:
They are parallel so also -4/3
Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?
Solve for x. Round to the nearest tenth, if necessary.
Answer:
5.3938654741
Step-by-step explanation:
x=5.1/cos(19) = 5.39386547405
The value of the variable 'x' using the cosine formula will be 5.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠LKM. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 19° = 5.1 / x
x = 5.4
The value of the variable 'x' using the cosine formula will be 5.4 units.
More about the right-angle triangle link is given below.
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Find the area of the region between the curve x^3+2x^2-3x and the x-axis over the interval [-3,1]
Answer:
[tex]\displaystyle A = \frac{32}{3}[/tex]
General Formulas and Concepts:
Calculus
Integrals
Definite IntegralsArea under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Curve: x³ + 2x² - 3x
Interval: [-3, 1]
Step 2: Find Area
Set up: [tex]\displaystyle A = \int\limits^1_{-3} {(x^3 + 2x^2 - 3x)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + \int\limits^1_{-3} {2x^2} \, dx - \int\limits^1_{-3} {3x} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + 2\int\limits^1_{-3} {x^2} \, dx - 3\int\limits^1_{-3} {x} \, dx[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (\frac{x^4}{4}) \bigg| \limits^1_{-3} + 2(\frac{x^3}{3}) \bigg| \limits^1_{-3} - 3(\frac{x^2}{2}) \bigg| \limits^1_{-3}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = -20 + 2(\frac{28}{3}) - 3(-4)[/tex]Evaluate: [tex]\displaystyle A = \frac{32}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
What is the sum of x2 − 3x + 7 and 3x2 + 5x − 9
Answer:
4x²+2x-2
Step-by-step explanation:
x²-3x+7
+
3x²+5x-9
Answer:
4x² + 2x - 2
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x² - 3x + 7 + 3x² + 5x - 9
Step 2: Simplify
Combine like terms (x²): 4x² - 3x + 7 + 5x - 9Combine like terms (x): 4x² + 2x + 7 - 9Combine like terms: 4x² + 2x - 2Solve -x/3>5 i don't know what to do
Answer:
It's D, x≤-15
HURRY I NEED HELP. ASAP.
What are the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
here is the answer friend
A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan
Answer:
2400
Step-by-step explanation:
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
so, let's calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.
Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.
What is true about the areas of the trapezoids?
Each area is equal to half of the area of ABCD.
The area of AXYD is less than the area of BXYC.
The area of AXYD is greater than the area of BXYC.
Each area is equal to the area of ABCD.
Answer:
Each area is equal to half the area of ABCD
Step-by-step explanation:
AX ≅ CY
In parallelogram, opposite sides are equal.
AB = CD
AX + XB = CY + YD
CY + XB = CY + YD
XB = CY + YD - CY
XB = CY
Both trapezoids have equal area
Area of AXYD + area of BXYC = area of ABCD
Answer:
A. ) Each area to equal to half of the area of ABCD
Step-by-step explanation:
Edge 2021
the principal argument of z = —4+i4√3 is
Answer:
Let z=−4+0i. Then, ∣z∣=
(−4)
2
+0
=4
Clearly, the point (−4,0) representing z=−4+0i lies on the negative side of real axis. Therefore, principal argument of z is π.
Which is a simplified form of the expression -9(y + 1) + 5y?
A. 4y + 9
B. 6y + 1
C. -14y + 9
D. -4y - 9
Answer:
option D
Step-by-step explanation:
[tex]-9( y+ 1) + 5y\\\\= -9y - 9 + 5y \\\\= -4y - 9[/tex]
what is 0.000 008 54 in scientific notation please explain perfectly lollll
Answer:
0.000 008 54 = 8.54 x [tex]10^{-6}[/tex]
Step-by-step explanation:
here is the deal / the rules for scientific notation
1) the number in front of the [tex]10^{x}[/tex] has to be [tex]\geq[/tex] 1 and < 9
that rule is VERY IMPORTANT... [tex]\geq[/tex] 1 and < 9
2) if you move a decimal point to the left the exponent goes up by one
3) if you move the decimal to the right it goes down by one
examples:
314,000,000,000
starting from the right we move the decimal "11" positions to get to
3.14 (notice that I can not stop at 31.4 because that is greater than 10)
so the answer would be 3.14 x [tex]10^{11}[/tex]
your question 0.000 008 54 has to move the decimal SIX positions to
the the right (-6) ... 8.54 x [tex]10^{-6}[/tex]
Diego runs for 32 seconds at -8. meters per second .what is his finish point?
Answer:
The finishing point 4
Step-by-step explanation:
32/8=4
What is the slope of the graph?
PLEASE HELP!!!
Verify sin(180°- θ) = sin θ
SHOW WORK!!!
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin(x - y) = sinxcosy - cosxsiny , then
sin(180 - θ)
= sin180cosθ - cos180sinθ
= (0) cosθ - (- 1)sinθ
= 0 + sinθ
= sinθ
find 22×28×25×30 in acres?
Answer:
22x 28 x 25 x 30 = 462000
whats are the units.....cm or m
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{22(28)(25)(30)}\\\large\textsf{22(28) = \bf 616}\\\large\textsf{616(25)(30)}\\\large\textsf{616(25) = \bf 15,400}\\\large\textsf{15,400(30)}\\\large\textsf{ = \bf 462,000}\\\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 462,000}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Whole numbers are _______ intergers
1. Never
2. Always
3. Sometimes
Answer:
Whole numbers are ALWAYS integers.
Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit?
Answer:
What are the statements?
Step-by-step explanation:
simplify 18÷3x2+1 please
Answer:
the answer is gonna be
6x^2+1
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}\\\\\\\huge\textsf{Parentheses}\\\\\huge\textsf{Exponents}\\\\\huge\textsf{Multiplication}\\\\\huge\textsf{Division}\\\\\huge\textsf{Addition}\\\\\huge\textsf{Subtraction}[/tex]
[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]
[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I have a lot of algebra problems. Someone help me even with this one please!
Answer: Choice D
The graph will be discrete because there is no such thing as a partial person to sign up, and the booth is set up once each day for sign ups.
=========================================================
Explanation:
Let's start with the independent variable d. This acts as the variable x. It's the input. The value of d only takes on positive whole numbers (eg: d = 1, d = 2, d = 3, etc). We cannot have something like d = 2.718
So this bit of evidence shows that our function is discrete. Discrete input values (d) plug into the function to produce corresponding discrete output values (m).
Furthermore, we know that m is discrete because the number of people cannot be a fractional or decimal number. We can't have half a person for instance.
---------------
A quick way to see if a set is discrete or continuous is to ask the question: "is it possible to apply the midpoint formula for ANY two values, and have the output make sense?"
So a set like {1,2,3,4,5,...} is discrete because the midpoint of 2 and 3 is 2.5, but that value is not in the set mentioned.
In other words, discrete sets have "gaps" so to speak, while continuous ones do not.
---------------
Another useful property is that let's say that a < x < b, and x is drawn from the domain set. This reduced set will be finite if we're dealing with discrete data. Eg: The set {1,2,3,4,5,...} has the subset {2,3,4} which is finite and discrete.
In contrast, the subset of real numbers x such that [tex]2 \le x \le 4[/tex] is continuous and this subset is infinitely large (has infinitely many members) because we could have things like 2.718 or 3.14 etc
What kind of statement does the shorthand below represent?
Answer:
it's a transitive statement.
Similar to "If a is equal to b and b is equal to c, then a is equal to c."
a = b and b = c, then a = c
Step-by-step explanation:
If a apple cost d dollars, which of the following expressions gives the cost for 20 apples in dollars?
Answer:
$ 20d
Step-by-step explanation:
Since each Apple costs d dollars , therefore 20 will cost , $ 20d .
The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.
To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.
Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.
Let's analyze each option:
A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.
B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.
D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.
To learn more about equation/expression click on,
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Complete question is:
If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?
A. 20a/d
B. 20d/a
C. a/20d
D. 20/ad
The angle of elevation of a tree at a distance of 10m from the foot of the tree is 43°. Find the height of the tree
Answer:
9.32m is the height of. the tree from the ground.
Which linear inequality represents the graph below? (-2, 3) & (0, -2)
Answer:
no hablo inglés wey perdón corona y gracias
Solve 3 - x/2 > 15..
Answer:
x ≥-24
Step-by-step explanation:
3 - x/2 ≥ 15
Subtract 3 from each side
3-3 - x/2 ≥ 15-3
-x/2 ≥12
Multiply by -2
-x/2 * -2 ≥12 *-2
x ≥-24
Answer:
A. x ≤ 24
Step-by-step explanation:
[tex] \small \sf \: 3 - \frac{x}{2} ≥ 15 \\ [/tex]multiply both side by 2 . Since 2 is the positive the inequality direction remains the same.
6 - x ≥ 30subtract 6 from both sides
6 - 6 - x ≥ 30 - 6 -x ≥ 24Divide both side by - 1. Since -1 is negative, the inequality direction remains the change.
x ≤ -24Uh could someone help me on this please?
Evaluate the following, using distributive property.
(i) – 39 × 99
(ii) (– 85) × 43 + 43 × ( – 15)
Answer:
39×99=3861.
85×43+43×15=4300
39 multiple 99= 3861
Step-by-step explanation:
85 multiple 43 add 15=4300
Help please I’m really stuck.
Answer:
35 miles
Step-by-step explanation:
To get the total number of miles, you add up the value of the X's to get 35 miles. Have a great day!
is (-3,-5) a solution of the graphed inequality
Choose 1 answer:
Yes
No
Answer:
No
General Formulas and Concepts:
Algebra I
Reading a coordinate planeCoordinates (x, y)Solving inequalitiesStep-by-step explanation:
When we plot (-3, -5) on the coordinate plane, we can see that it is not in the shaded region.
∴ (-3, -5) is not a solution.
