The evaluated value of the expression b² - 4ac when a = -2, b = -4 and c = 1 is 24.
How to evaluate expression?To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
Therefore, let's evaluate b² - 4ac when a = -2, b = -4 and c = 1.
Hence,
b² - 4ac = (-4)² - 4(-2)(1) = 16 + 8 = 24
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can someone please help me I'm struggling with this question. What is the domain and range x-0.3 y-6
11. it IS a function
and the table shows the values of the domain and range
(-0.3,-6), (0.4, -3), (1.2, -1), (1.2, 4)
WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?
Me das mas información porfavor?
if a1 = 2 and an = -5an-1 +3 then what's the value of a5
HELP PLEASE
Answer:
10
Step-by-step explanation:
a1=2
a=2
an=-5an-1+3
plug in
(2)5=10
Simplify this expression.
2V5(13 +V2)
Answer:
26V^5+2V^7
Step-by-step explanation:
Using the distributive property to factorize the equation 3x2+24x=0, you get_____. the solution of the equation is _____.
The solution to the equation is the two Roots, x = 0 and x = -8, since both values satisfy the original equation.
The distributive property is a property that is utilized in algebraic equations.
The distributive property enables us to break down a large, complicated algebraic equation into a series of smaller, simpler ones.
The distributive property may be utilized to factorize 3x2+24x=0. The distributive property enables us to factor out a common factor from an algebraic expression, which can then be factored even more to achieve the final answer.
This is the factorizing process.3x2+24x=0This equation can be factored out by taking out the common factor of 3x.3x(x + 8) = 0
The equation is currently factored out, and we can now solve it by applying the zero-product rule. If two factors, a and b, are multiplied to equal zero, then either a or b must be zero.3x(x + 8) = 0
Either 3x = 0, or (x + 8) = 0.3x = 0x = 0 (Since 3x = 0)OR(x + 8) = 0x = -8 (Since x + 8 = 0)
The solution to the equation is the two roots, x = 0 and x = -8,
since both values satisfy the original equation.
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Find the slope of the tangent line to the given polar curve at the point specified by the value of theta. r=2/theta, theta=pi
To find the slope of the tangent line to the polar curve at the specified point, we need to differentiate the equation of the polar curve with respect to theta and then evaluate it at the given value of theta. Answer : we substitute theta = pi into the expression above to find the slope of the tangent line at theta = pi.
The equation of the polar curve is r = 2/theta. To differentiate this equation with respect to theta, we use the chain rule. Let's denote the slope of the tangent line as dy/dx, where x and y are the Cartesian coordinates.
Converting the polar coordinates to Cartesian coordinates, we have x = r*cos(theta) and y = r*sin(theta). Substituting the equation of the polar curve into these expressions, we get x = (2/theta)*cos(theta) and y = (2/theta)*sin(theta).
Now, differentiating both x and y with respect to theta, we have:
dx/dtheta = (-2/theta^2)*cos(theta) + (2/theta)*sin(theta)
dy/dtheta = (-2/theta^2)*sin(theta) - (2/theta)*cos(theta)
To find the slope of the tangent line, we need to find dy/dx. Therefore, we divide dy/dtheta by dx/dtheta:
dy/dx = (dy/dtheta) / (dx/dtheta)
= [(-2/theta^2)*sin(theta) - (2/theta)*cos(theta)] / [(-2/theta^2)*cos(theta) + (2/theta)*sin(theta)]
Finally, we substitute theta = pi into the expression above to find the slope of the tangent line at theta = pi.
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What is the rule for the reflection? rx-axis(x, y) → (â€"x, y) ry-axis(x, y) → (â€"x, y) rx-axis(x, y) → (x, â€"y) ry-axis(x, y) → (x, â€"y)
The rule for the reflection is that when reflecting over the x-axis, the x-coordinate remains the same but the y-coordinate changes to the opposite sign.
The x-coordinate must remain constant when reflecting across the x-axis, but the y-coordinate must change to the opposite sign. When reflecting over the y-axis, the y-coordinate remains the same but the x-coordinate changes to the opposite sign.
A figure is transformed into a reflection by a transformational process. In a point, a line, or a plane, figures can be reflected. The image and preimage coincide when reflecting a figure in a line or a point.
Every point of a figure is translated to an image across a fixed line via a reflection. The fixed line is referred to as the reflection line.
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The complete question is:
What is the rule for the reflection?
\sqrt{3x^{10}}
3x
10
Answer:
5
Step-by-step explanation:
√
3
x
+
10
=
x
To remove the radical on the left side of the equation, square both sides of the equation.
√
3
x
+
10
2
=
x
2
Simplify each side of the equation.
Tap for more steps...
3
x
+
10
=
x
2
Solve for
x
.
Tap for more steps...
x
=
5
,
−
2
Exclude the solutions that do not make
x
=
√
3
x
+
10
true.
x
=
5
What is the volume of this prism? Enter your answer in the box. cm³ Length = 7 Width = 20 height = 4
Answer:
The volume is 560
Answer:
the volume of the right rectangular prism is 263.52 cubic centimeters hope it helps
I NEED HELP FAST PLEASE
Answer:
270
Step-by-step explanation:
1080*1/4 is the same as 1080/4 which is 270
Answer:
The answer is C
Step-by-step explanation:
If you cancel the common factor of 4.
A square and an equiangular triangle have the same perimeter. If the area of the square is 144 cm2, what is the length of one side of the triangle
a square piece of construction paper has sides that are 7inches long what is the piece of paper area
The area of the square piece of construction paper is 49 square inches. To find the area of a square piece of construction paper, we need to square the length of one side. In this case, the length of each side is given as 7 inches.
The formula to calculate the area of a square is:
\(Area = side length^2\)
Applying the formula, we have:
Area = 7 inches x 7 inches = 49 square inches
It's important to note that area is a measure of the space inside a two-dimensional shape, and it is expressed in square units. In this case, since the sides of the square are given in inches, the area is given in square inches.
The area of a square is found by multiplying the length of one side by itself because all sides of a square are equal. In this case, each side is 7 inches, so squaring 7 gives us an area of 49 square inches.
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simplify (-2x)^4
a.) -16x^4
b.) -8x^4
c.) -2x^4
d.) 8x^4
e.) 16x^4
answer
c.)
Step-by-step explanation:
(-2x)^4 = -2x^4
which is the same as answer c.)
A triangular prism has a height of 5.9 meters and volume 86.376 cubic meters. What is the area of the base of the prism?
Answer: 14.64m^2
Step-by-step explanation:
Base area = volume/height
Substitute:
86.376/5.9 = 14.64cm^2
Hope that helps!
Jeff rolled a die 600 times. Mary rolled a
die 6 times. In which case is it more likely
that the experimental probability of rolling
a 1 was closest to
1/6 ? Why?
*WILL MARK BRAINLIEST!!!!!!*
Answer:
y=1
Step-by-step explanation:
The value of y where the function is undefined
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22. Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46 Part B: Explain in words, what Clay should do to get his accaunt balance to zero?
Answer:
Part A
y =($50 - ($23 × 2 + $5)+ $22)
y = $21
Part B
Clay can get his balance to zero by withdrawing or writing another check for $21
Step-by-step explanation:
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.
Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46
Let his final Account Balance = y
y =($50 - ($23 × 2 + $5)+ $22)
y =$72 - $51
y = $21
Part B: Explain in words, what Clay should do to get his account balance to zero?
Clay can get his balance to zero by withdrawing or writing another check for $21
= $21 - $21
= $0
Consider the equation 6 x 3 y = 9. Which equation, when graphed with the given equation, will form a system with infinitely many solutions? y 2 x = 3 y 2 x = 9 y = 2 x 3 y = negative 2 x 9.
The equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3
Given the equation 6x + 3y = 9, the equation if when graphed with this equation will give an infinite number of solutions must be the same as the given equation.
Note that the coefficient of the variables may be different by a scale factor.
To get the required equation, we will divide the equation through by 3 as shown;
6x + 3y = 9Divide through by 3;
6x/3 + 3y/3 = 9/3
2x + y = 3
Hence the equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3
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Answer: A
Step-by-step explanation:
ANSWER ASAP please!!!!!!!
Answer:
2.11
Step-by-step explanation:
3.5 x 2 + 9 = 16
10.4 - 1.4 x 2 = 7.6
16/7.6
= 40/19 or 2.11 to the nearest hundredth
Therefore the answer is 2.11
Answer:
2.11
Step-by-step explanation:
i took this myself
23.5% OF 128=___________
WITH STEPS PLS
Answer:
Step-by-step explanation:
23.5% OF 128= ???
so,
% value is 100 and word "of" means multiplication (x)
now,
23.5% OF 128
=> 23.5 x 1/100 x 128
=> 23.5/100 x 128
=> 3,008/100
=> 30.08
so, the answer is 30.08
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Can anyone give me the answer for this one
a²(b²-c²)+b²(c²-a²)+c²(a²-b²) Simplify it
Answer:
After Multiplying them.
we get 0 as an answer.
Sketching a Function from its Derivatives A In this post, you will use the first and second derivatives of a function (along with a few other pieces of information) to sketch the graph of a function. Sketch the graph of a single function f (x) that satisfies all of the following conditions. Use the techniques that we have learned in this course to do so. f'(x)= 16(x + 2) (6 - x) ³ 32(x + 6) f"(x) = (6 x - x) 4 The domain of fis (-[infinity], 6) U (6,[infinity]) x = 6 is a vertical asymptote of f lim f(x) = 1, lim f(x) = 1 x→→[infinity]0 f(2)= 1 8个
Here, x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.
Let's start by integrating f'(x) to get f(x). We have:
f'(x) = 16(x+2)(6-x)³ - 32(x+6)
Integrating both sides with respect to x:
f(x) = ∫[16(x+2)(6-x)³ - 32(x+6)] dx
Simplifying the integral, we get:
f(x) = -2(x+2)²(6-x)⁴ + 16(x+6) + C
where C is the constant of integration.
Next, we can find the critical points of f(x) by setting f'(x) = 0:
f'(x) = 16(x+2)(6-x)³ - 32(x+6) = 0
Solving for x, we get x = -2 and x = 6 as critical points.
Now, we can use the second derivative f''(x) to determine the concavity of the function. We have:
f''(x) = (6x-x)⁴ = x⁴
Since the second derivative is always positive for x > 0, the function is concave up on the interval (6, ∞).
Similarly, since the second derivative is always negative for x < 0, the function is concave down on the interval (-∞, -2).
At x = -2 and x = 6, the function has an inflection point.
Finally, we know that x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.
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When partitioning a line segment, what does the rational form of the ratio 2:3 look like?
2/3
3/5
5/2
2/5
Answer:
This is pretty obvious, the answer is A, 2/3
Step-by-step explanation:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).
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HELP PLEASE!!!!!! FASTS!!!!! THANK YOU PLEASE AND THANK YOU KUCH APPRECIATED
B 1/2
Step-by-step explanation:
if a right circular cylinder and oblique cylinder both have a height of 15 inches and diameter of 6 inches, do they have the same volume?
Answer:
Yes, they both have a volume of 423.9 inches cubed.
Step-by-step explanation:
Both cylinders have the same volume formula V=(pi)(r^2)(h)
d/2=r=3
h=15
so, (3.14)(9)(15)=423.9
The volume of each cylinder is 423.9
3x - 7 < 2
i need help with this problem what is the anwser
Answer:
x < 3
Step-by-step explanation:
Add 77 to both sides.
3x<2+7
3x<2+7
2 Simplify 2+72+7 to 99.
3x<9
3x<9
3 Divide both sides by 33.
x<\frac{9}{3}
x<
3 9 4
Simplify \frac{9}{3}
3 9 to 33.
x<3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
3x-7<2 Equation/Question
Step 2
3x-7<2 simplify the inequality by adding
3x<9
Step 3
3x<9 Divide sides by 3
Answer
Your answer is x<3
Which inequality is represented by this graph?
-58 -57 -56 -55 -54 -53 -52 -51 -50
Answer:
D. x is greater than or equal to -53.
Step-by-step explanation:
The required inequality represented by the number line is x ≥ -53
Number line and graphFrom the given number line, you can see that the circle is on the -53 value and closed. The closed circle shows that the inequality sign will contain the equal sign.
For the direction of arrow, the direction is towards the positive side of the number line showing that the required inequality is x ≥ -53
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solve pls brainliest
Answer:
1)36
2)1/36
Step-by-step explanation:
Hope it can help you lovelots
how do i solve 9+-2p=25
Answer:
p = -8
Step-by-step explanation:
9+-2p=25
Subtract 9 from each side
9+-2p-9=25-9
-2p = 16
Divide each side by -2
-2p/-2 = 16/-2
p = -8
Answer:
-8
Step-by-step explanation:
To solve for the equation, you are looking to solve for the p's value. Our goal is to isolate p by itself.
9+-2p=25
Subtract 9 from both sides.
-2p=25-9
-2p=16
Divide both sides by -2 (to isolate p by itself).
-2p/-2 = 16/-2
p = -8
Find the solution of the following initial value problem.g'(x)= 3x(x^2 -1/3) ; g(1) = 2
According to the question we have the solution of the given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .
To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:
g'(x) = 3x(x^2 - 1/3)
Integrating both sides with respect to x, we get:
g(x) = ∫[3x(x^2 - 1/3)] dx
g(x) = ∫[3x^3 - 1] dx
g(x) = (3/4)x^4 - x + C
where C is the constant of integration.
To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:
2 = (3/4)1^4 - 1 + C
2 = 3/4 - 1 + C
C = 9/4
Therefore, the solution of the given initial value problem is:
g(x) = (3/4)x^4 - x + 9/4
In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.
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