Answer:
Your answer is incorrect. Correct answer is f(-8) = -3
Step-by-step explanation:
[tex]f(x)=\dfrac{x+2}{2}\\\\f(-8)\to\text{put x = -8 to the equation of the function}\ f:\\\\f(-8)=\dfrac{-8+2}{2}=\dfrac{-6}{2}=-3[/tex]
The value of f(-8) refers to the result of a function, f(x), when x equals -8. However, without the specific function, we cannot provide an exact value.
Explanation:To determine the value of f(-8), we need to know the function f(x). In mathematics, f(-8) typically refers to the value of a function, denoted as f(x), at x=-8. For instance, if we have the function f(x) = x^2, then f(-8) would equal to (-8)^2, which is 64. However, without knowing the specific equation for f(x), we cannot provide the exact answer for f(-8).
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which construction of parallel lines is justified by the theorem "when two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel"?
Answer:
im positive that the answer is c because when you look at where the arcs meet to the parallel lines, if you were to make a line connecting the two points, you would have a parallel line to the transversal
-please mark as brainliest if this helped:)
Step-by-step explanation:
The corresponding angles are equal. Then the diagram which justified the parallel lines and corresponding angles is C.
What are parallel lines?When the distance between the lines is constant then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.
More about the parallel lines link is given below.
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What is the circumference of the following circle r = 1
Answer: C≈6.28
Step-by-step explanation:
C=2π r=2· π ·1≈6.28319
Therefor, the answer is 6.28
* hopefully this helps:)Mark me the brainliest:)
Answer:
C = 2pi
C ≈ 6.28
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi*r
C = 2 * pi *1
C = 2 * pi
Using 3.14 as an approximation for pi
C = 2*3.14
C = 6.28
What is 2 1 4 · 9 5 ? A) 1 1 4 B) 1 5 12 C) 3 17 20 D) 4 1 20
The evaluation of the numeric expression is:
2 1 4 · 9 5 = 20330
What is 2 1 4 · 9 5 ?A numeric expression is a mathematical statement that involves only numbers and one or more operation symbols.
Examples of operation symbols are addition, subtraction, multiplication and division. It can also be expressed in the radical symbol (the square root symbol) or the absolute value symbol.
We can evaluate 2 1 4 · 9 5 as follow:
2 1 4 · 9 5 = 2 1 4 * 9 5
= 20330
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Mary has some trading cards. Julie has 3 times as many trading cards as Mary. They have 36 trading cards in all. Which of these equations represents their trading card collection?
Answer:
the equation that is equal to X+3X=36
Step-by-step explanation:
since they have 36 all together, we know thier total is 36. since it says that julie has three times mary, i used x to represent mary. so julie is 3x. now we know the equation x(Marie)+3x(JUlie)=36(total)
The sum of two numbers is 52. Their product is 100. What is the answer?
Answer:
{2, 52}
Step-by-step explanation:
Actually, there are two answers, not just one.
Let the numbers be x and y.
Then their sum is x + y and equals 52.
Their product is xy and equals 100.
We need to solve this system of equations for both x and y.
Solving x + y = 52 for x, we get x = 52 - y.
Substituting this result into the other equation, we get:
(52 - y)y = 100
This is a quadratic equation: 52y - y² = 100, or
-y² + 52y - 100 = 0.
Alternatively, y² - 52y + 100 = 0
Let's solve this quadratic by "completing the square."
First, identify the coefficient of the y term. It is -52. Take half of that, obtaining -26, square this result, obtaining 676. Add 676 to y² - 52y, and then subtract 676 from the result:
y² - 52y + 676 - 676 + 100 = 0.
Then (y -26)² = 576.
Taking the square root of both sides, we get:
y - 26 = ± 24, or:
y = 24 + 26 = 50, and also:
y = -24 + 26 = 2
Note that 2(50) = 100, as it must, and that
2 + 50 = 52 (also correct).
The two-part answer is {2, 52}.
The numbers are 2, and 50 if the sum of two numbers is 52. Their product is 100.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Let x be the number the second number will be (52-x)
Their product is 100
x(52-x) = 100
52x - x² = 100
- x² + 52x - 100 = 0
After solving the quadratic equation:
x = 2, x = 50
Thus, the numbers are 2, and 50 if the sum of two numbers is 52. Their product is 100.
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Solve (x + 2 < 5) ∩ (x - 7 > -6).
1. {x | 1 < x < 3}
2. {x | x < 3 or x > 1}
3. {all real numbers}
Answer:
1. {x | 1 < x < 3}Step-by-step explanation:
x + 2 < 5 subtract 2 from both sides
x + 2 - 2 < 5 - 2
x < 3
x - 7 > -6 add 7 to both sides
x > 1
From x < 3 and x > 1 we have 1 < x < 3
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 80cm, find its length and width.
length:
width:
Step-by-step explanation:
2w+6w=80
w=10
l=30
To find the length and width of the rectangle, we can set up an equation using the perimeter formula. Solving the equation will give us the values of the width and length.
Explanation:Let's start by assigning variables to represent the length and width of the rectangle. Let's say the width is 'w' cm, so the length would be '3w' cm according to the information given.
The perimeter of a rectangle is given by the formula: P = 2(L + W), where P represents the perimeter, L represents the length, and W represents the width.
Substituting the given values into the formula, we can set up the following equation: 80 = 2(3w + w). Solving this equation will give us the value of 'w', which corresponds to the width of the rectangle. Once we have 'w', we can find the length by multiplying it by 3.
By solving the equation, we find that the width of the rectangle is 10 cm and the length is 30 cm.
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The power is equivalent to . What is the value of .
Answer:
option C)
1/81
Step-by-step explanation:
Given in the question an expression,
[tex]9^{-2}[/tex]
Apply negative exponent rule which says
[tex]x^{-n} = \frac{1}{x^{n} }[/tex]
So,
[tex]9^{-2} = \frac{1}{9^{2} }[/tex]
As we know that 9² = 9x9 = 81
= [tex]\frac{1}{9x9}[/tex]
= [tex]\frac{1}{81}[/tex]
So, the expression 9^-2 = 1/81
Answer:
c
Step-by-step explanation:
did it on edge
Simplify. b (−3)∙(2a+b)−4(b−a) Plz and Thanks
"Given expression: [tex]\( b(-3) \cdot (2a+b) - 4(b-a) \)[/tex] simplifies to[tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]after distributing and combining like terms."
let's simplify the expression step by step:
Given expression: [tex]\( b(-3) \cdot (2a+b) - 4(b-a) \)[/tex]
Step 1: Distribute the[tex]\( b(-3) \) and \( -4 \)[/tex] across their respective terms:
[tex]\( -3b \cdot (2a+b) - 4b + 4a \)[/tex]
Step 2: Distribute [tex]\( -3b \) across \( (2a+b) \)[/tex] using the distributive property:
[tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]
Step 3: Combine like terms. We have[tex]\( -3b^2 \) and \( -4b \)[/tex] as like terms:
[tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex] can be rewritten as [tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]
So, the simplified expression is: [tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]
the graph of y=sinx is reflected on the line x=y then on y=2 the resulting graph has which equation
Answer:
y = 4 - sin⁻¹x
Step-by-step explanation:
1. Reflection about y = x
If we reflect a function ƒ(x) about the line y = x, we are creating its inverse, ƒ'(x).
Thus, reflection of y = sinx about y = x gives y = sin⁻¹x.
The range of the reflection extends from -∞ to +∞, but the range of the function y = sin⁻¹x is [-π/2, π/2] (see Fig. 1) .
2. Reflection about y = 2
Reflection about y = 2 retains the sign of x but changes the sign of y.
Note, however, that in Figure 2 the point at (0, 0) is reflected to (4, 0).
The function is translated up by four units.
After the two reflections, the equation of the line is
y = 4 - sin⁻¹x
Your answer should be a polynomial in standard form. ( x + 1 ) ( x + 8 ) =
Answer:
The answer is x^2+9x+8
Step-by-step explanation:
Use the foil method then combine like terms and it will already be in standard form.
Steps:
(x+1) (x+8)
x^2 + 8x + x + 8
x^2 + 9x + 8
Final answer:
To find the polynomial in standard form for (x + 1) (x + 8), multiply each term in the first binomial by each term in the second and combine like terms to get x² + 9x + 8.
Explanation:
The equation (x + 1) (x + 8) can be expanded by using the distributive property, also known as the FOIL method (First, Outer, Inner, Last), which is used to multiply two binomials. To simplify (x + 1) (x + 8), we multiply each term in the first binomial by each term in the second binomial:
Multiply the First terms: x * x = x²
Multiply the Outer terms: x * 8 = 8x
Multiply the Inner terms: 1 * x = x
Multiply the Last terms: 1 * 8 = 8
Now, we combine the like terms (8x and x):
x² + 8x + x + 8
x² + 9x + 8
The resulting expression is a polynomial in standard form. Therefore, the expanded form of (x + 1) (x + 8) is x² + 9x + 8.
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario?
Answer:
The system that represent the scenario is
[tex]x+y\leq500[/tex]
[tex]215x+615y\leq 187,500[/tex]
The solution in the attached figure
Step-by-step explanation:
Let
x-----> the acres of corn
y----> the acres of cotton
we know that
[tex]x+y\leq500[/tex] ------> inequality A
[tex]215x+615y\leq 187,500[/tex] -----> inequality B
using a graphing tool
the solution is the shaded area in the attached figure
What is the difference in the area of a circle with diameter 4m and a circle with diameter 6m?
Answer:
The difference between the area of the two circles is 15.7m
Step-by-step explanation:
I swear these be helping me with the CIEs coming up in May xD
Okay so the formula for a circle is [tex]\pi r^2[/tex]
The diameter is the double of the radius so
Cirlce A has a diameter of 4m so a radius of 2m
[tex]\pi 2^{2}[/tex]
[tex]\pi4[/tex]
[tex]12.57m[/tex]
Circle B has a diameter of 6m so a radius of 3m
[tex]\pi 3^2[/tex]
[tex]\pi 9[/tex]
[tex]28.27m[/tex]
To find the difference subtract 12.57 from 28.27
[tex]28.27-12.57\\=15.7[/tex]
The difference between the area of the two circles is 15.7m
Hope this helps, if you still need help just comment :)
Plz help !!!!!!!!!!!
Answer: c) 12
Step-by-step explanation:
[tex]\sqrt{2x+1}-4=1\\\\\sqrt{2x+1}=5\\\\(\sqrt{2x+1})^2=(5)^2\\\\2x+1=25\\\\2x=24\\\\\boxed{x=12}[/tex]
It will be 12 probably
WILL GIVE THE BRAINLEST
Find the surface area of the triangular prism
Answer:
Surface Area = 267 in² V = 162 in³Step-by-step explanation:
The surface area consists of 3 rectangles of the sides, and the two base triangles.
The front rectangle has dimensions of 12x9, so it's area is 108 in²
The back rectangle has dimensions of 7x12, so it's are is 84 in²
The side rectangle has dimensions of 4x12, so it's area is 48 in²
The top and bottom triangles have a base of 9 and a height of 3, so their area is
A = (1/2)(9)(3) = 27/2, but there are 2 of them, so their combined area is (27/2)(2) = 27 in²
The total surface area is 108 + 84 + 48 + 27 = 267 in²
The formula for volume of a triangular prism is
V = (1/2)bhd where b is the base of the base triangle, h is the height of the base triangle, and d is the depth of prism.
We have b = 9, h = 3, and d = 12, so the volume is
V = (1/2)(9)(3)(12)
V = (1/2)(27)(12)
V = (1/2)(324)
V = 162 in³Which of the following measurements is a little more than 3 feet? meter,centimeter,centileter, 1/4 foot
Answer:
The correct answer option is: meter.
Step-by-step explanation:
We are to determine whether which of the given measurements is a little more than 3 feet.
To find that, we will use the conversion:
1 meter = 3.28084 foot
1 centimeter = 0.0328084
1/4 foot [tex] \neq [/tex] 3 foot
Keeping these values in front of us, we can clearly see that its the unit meter which is equal to a little more than 3 feet.
Final answer:
The measurement that is a little more than 3 feet is a meter, which is approximately 3.28 feet, whereas a yard is equal to 3 feet. Meters are used to measure larger objects and distances.
Explanation:
The correct answer to which measurement is a little more than 3 feet is a meter. A meter is a unit of length in the metric system, and it is used to measure larger objects or distances. One meter is approximately equal to 3.28 feet, which makes it slightly longer than a yard (3 feet).
Comparatively, a centimeter is much smaller, with 100 centimeters making up 1 meter. A ruler typically contains markings for centimeters and can also include millimeters, which are even smaller units of the metric system – there are 10 millimeters in one centimeter.
When comparing metric to customary units, a yard is the closest customary unit in length to a meter. Since there are 3 feet in a yard, and a meter is roughly 3.28 feet, a meter stick is somewhat longer than a yardstick.
Therefore, among the options provided (meter, centimeter, centileter, and 1/4 foot), the measurement that is a little more than 3 feet is a meter.
2/3 = 20/30 what numbers are the means of the proportion shown below? PLEASE NEED HELP *
Please elaborate the question
use the graph to complete the following identity cos8x - cos2x/ sin8x + sin2x=?
It's pretty cool, honestly.
What number is greater than 0.8 and less than 0.9. The greatest digit in the number is in the hundredths place.
Answer:
0.89
Step-by-step explanation:
because if you see 0.8 & 0.9 it = 0.80 and 0.90 so 0.89 is in between
suppose f(x) = x³ . find the graph of f(x) -5
Answer:
Choice 4
Step-by-step explanation:
The parent function is [tex]y=x^3.[/tex] The graph of the function
[tex]y=x^3+a[/tex] is translated a units up graph of the parent function;[tex]y=x^3 -a[/tex] is translated a units down graph of the parent function;[tex]y=(x-a)^3[/tex] is translated a units to the right graph of the parent function;[tex]y=(x+a)^3[/tex] is translated a units to the left graph of the parent function.In your case, the graph of the function [tex]f(x)=x^3-5[/tex] is translated 5 units down graph of the function [tex]y=x^3.[/tex] This is choice 4
Graph 4 is the correct graph of f(x) - 5.
To find the graph of f(x) - 5, we can start by graphing the graph of f(x) and then shifting it down by 5 units.
The graph of f(x) is a cubic function, which means that it is a graph of the form y = ax³ + bx² + cx + d. To graph a cubic function, we can use the following steps:
Find the x-intercepts of the graph. The x-intercepts are the points where the graph crosses the x-axis. To find the x-intercepts, we set y = 0 and solve the equation for x.
Find the y-intercept of the graph. The y-intercept is the point where the graph crosses the y-axis. To find the y-intercept, we set x = 0 and solve the equation for y.
Find the end behavior of the graph. As x approaches positive or negative infinity, what does the value of y approach?
Plot the x-intercepts, y-intercept, and any other important points on the graph.
Connect the points with a smooth curve.
To graph the graph of f(x) - 5, we simply shift the graph of f(x) down by 5 units.
The description matches graph 4.
find the equation of the line that is parallel to the x-axis and goes through (4,-3)
Answer:
y = 3
Step-by-step explanation:
Parallel lines are lines which do not intersect. If the line is parallel to the x-axis then it is a horizontal line that intercepts the y-axis at the y-coordinate of the point (4,-3). So the equation of the line is y = b where b is the y-coordinate or y-intercept. Here it is y = 3.
Air is escaping from a balloon at the rate of R(t)=60/1+t^2 cubic feet per minute, where t is measured in minutes. How much air, in cubic feet, escapes during the first minute
The amount of air that escapes during the first minute is 0 cubic feet.
Explanation:To find out how much air escapes during the first minute, we need to evaluate the integral as per calculus, of the rate function R(t) over the interval [0,1]. The given rate function is R(t) = 60 / (1 + t^2). Integrating this function over the interval [0,1] gives us the amount of air that escapes during the first minute.
Integrating R(t) using the power rule, we get:
∫(60 / (1 + t^2)) dt = 60 * ∫(1 / (1 + t^2)) dtUsing a substitution, let u = 1 + t^2. Then, du = 2t dt.Substituting back, we have: ∫(1 / u) (1/2) du = (1/2) ln|u| + CEvaluating the integral over the interval [0,1]: (1/2) (ln(2) - ln(2)) = 0Therefore, the amount of air that escapes during the first minute is 0 cubic feet.
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Simplify (3x^-2y^4)^-3
Answer:
x^6/27y^12
Step-by-step explanation:
(3. 1?x^2 y^4)^3
(3y^4/x^2)^3
witch you get x^6/27y^12
hope i helped
please help asap, thanks
A scale drawing of a rectangular parking lot is shown. The width of the parking lot is shorter than the length. The width of the actual parking lot is 48 feet. How many feet of the parking lot are represented by 1 centimeter on the scale drawing? Your answer should be a two digit number.
Answer:
15 ft.
Step-by-step explanation:
If you divide the length of the drawing by the length of the real one you will find the scale factor. Every one cm in the drawing is 15 ft. in the real one.
One centimeter on the scale drawing represents approximately 0.03281 feet of the actual parking lot.
Explanation:To find out how many feet of the parking lot are represented by 1 centimeter on the scale drawing, we need to use the conversion factor between centimeters and feet. Since 1 centimeter is equal to 0.01 meters (1 cm = 0.01 m) and 1 meter is equal to 3.281 feet (1 m = 3.281 ft), we can multiply the conversion factors together: 0.01 m * 3.281 ft/m = 0.03281 ft.
So, 1 centimeter on the scale drawing represents approximately 0.03281 feet of the actual parking lot.
The answer is 0.03.
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Help Solve. 5t ≤ –15
divide by 5 on both sides and get -3
The required solution to the given inequality 5t ≤ –15 is t ≤ –5 which represents the value of t lying less than or equal to negative five.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
The inequality is given in the question following as:
⇒ 5t ≤ –15
We have to determine the solution to the given inequality 5t ≤ –15.
As per the given question, the required solution would be as:
⇒ 5t ≤ –15
Divide by 5 into both sides in the above inequality
⇒ 5t/5 ≤ –15/5
Apply the division operation to get the solution
⇒ t ≤ –5
The above inequality represents the value of t lying less than or equal to negative five.
Therefore, the required solution to the given inequality 5t ≤ –15 is t ≤ –5.
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Tracy is running in a 5.52 kilometer race on Saturday . A marathon is approximately 42 kilometers. How long will it take Tracy to race in the martathin? Can you show u please show your answer?
Answer:
about 7.6 days long
Step-by-step explanation:
42 divided by 5.52 = about 7.6
PLEASE HELP WITH THE QUESTION BELOW ASAP!
Answer:
(-4,5) Quadrant II
Step-by-step explanation:
1) Think of drawing the letter C, starting at the upper right of the Quadrant to identify Each Quadrant, and Doing so will help knowing where Point C is.
2) After that identifying the point is simple X coordinate is Horizontal and Y coordinate is vertical X come before Y.
3) your answer will be (-4,5) Quadrant II
Hope This helps
(-4,5) Quadrant II so down -4 and up 5
In science, students are observing the growth of two plants. Plant A receives sunlight and Plant B does not. The graph and table show the data for this scenario. What is the initial height of Plant B?
its 4.5 inches on e2020
Answer:
4.5 inches
Step-by-step explanation:
12/1/20. its correct
coach Herrera is buying tennis balls for his team. He can solve the equation 4c=92 to find how many cans c of balls he needs. How many cans does he need?
Answer:
23
Step-by-step explanation:
4c = 92
He needs to solve for c. He needs c alone on the left side. c is being multiplied by 4. The opposite operation to multiplication is division, so he needs to divide the left side by 4. The rule with equations is that you must do the same operation to both sides, so he must divide both sides of the equation by 4.
4c/4 = 92/4
c = 23
Answer: He needs 23 cans of balls.
Answer:
23
Steps:
1) Put it into a equation:
4 • C = 92
2) divide both sides:
4 divided by 4 = crosses out
92 divided by 4 = 23
3) C=23
seven less than the product of 2 and a number is equal to 8.
Use the variable w for the unknown number .
➷ We can use that statement to form an equation:
2w - 7 = 8
Now we need to solve for w
Add 7 to both sides:
2w = 15
Divide both sides by 2:
w = 7.5
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
15/2
Step-by-step explanation:
"7 less than the product of 2 and a number" comes out to 2w - 7.
This quantity equals 8:
2w - 7 = 8.
Adding 7 to both sides isolates 2w:
2w = 15
Dividing both sides by 2 yields
w = 15/2