Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
What is the square root of 29173?
Answer:
The square root of 29173 is about 170.801
A car is traveling down a highway at a constant speed, described by the equationd=65t, where d represents the distance, in miles, that the car travels at this speed in t hours.
How many miles does the car travel in 1.5 hours?
Answer:
97.5 miles
Step-by-step explanation:
you would take 65 and multiply by 1.5
Question 13 of 50
In the diagram below, C is the midpoint of AB. If AC is 4 centimeters, what is
the length of CB?
B
A. 6 cm
B. 4 cm
C. 2 cm
D. 8 cm
Answer:
6 is the correct answer sorry I took too long to answer your question
Step-by-step explanation:
What is -2> -d/34, what will it equal to?
Answer:
68 < d
Step-by-step explanation:
-2 > -d/34
(multiply both sides by 34 here)
-68 > -d
(since you multiply by -1 here, you flip the sign.)
68 < d
sorry if the answer is wrong- goodluck on your schoolwork/homework
please help as soon as possible
Answer:
10.5638 C.
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get u a better answer
-Have a great day! :)
The answer is C: 10.5628
First you must set up the equation to find a certain number for a table.
[tex]\frac{1.8642}{3} = \frac{x}{17}[/tex]
Next you must solve for x
[tex]x=10.5628[/tex]
Find the area of a sector which has an angle of 125∘ and a radius of 5 m.
Answer:
27.27cm²
Step-by-step explanation:
∅=125° r=5m
A=∅/360×πr²
A=125/360×3.142×5²
A=27.27cm²
Solve for g.
-2q - 2>2
Answer:
I will assume that you mean solve for q.
q < -2
Step-by-step explanation:
-2q - 2 > 2
+2 +2
Add 2 to both sides
2q > 4
/-2 /-2
Divide both sides by -2 (flip the sign if you multiply or divide by a negative number)
q < -2
NEED ANSWER ASAP!!!! `For an essay contest, Annika needs to write 450 words with an absolute deviation of less than 15 words. Using w as a variable, write an absolute value inequality to represent this situation. HELP PLEASE. ONLY 10 MINUTES LEFT.
Answer:
The absolute value inequality is;
[tex]\left | w -450 \right |<15[/tex]
Step-by-step explanation:
The given information are;
The number of words Annika needs to write = 450 words
The absolute deviation of the number of words allowed = 15 words
The variable representing the number of words Annika actually wrote = w
Therefore, we have the absolute value inequality given as follows;
[tex]\left | w -450 \right |<15[/tex], which can be written in statement form as follows;
-15 < w - 450 < 15, or as follows
[tex]\left | w -450 \right |<15 \ in \ statement \ form \ is \ -15 < w - 450 < 15[/tex]
Find the product.
(7−x)(x−1)=
Answer:
-x² + 8x - 7
Step-by-step explanation:
Step 1: Write expression
(7 - x)(x - 1)
Step 2: FOIL (First Outside Inside Last)
7x - 7 - x² + x
Step 3: Combine like terms
-x² + 8x - 7
Answer:
-x^2 + 8x - 7
Step-by-step explanation:
(7 - x)(x - 1)
(7 * x) + (7 * -1) + (-x * x) + (-x * -1)
7x - 7 - x^2 + x
8x - 7 - x^2
-x^2 + 8x - 7
Best of Luck!
nine hundred fifteen and sixty five thousandths in number form i please please help will ggive points or brainly for right answer!!!!!!!!!!!!!!!
Answer:
It is 0.0091565
hope that helps !
Find the slope of the line. On a coordinate plane, a line goes through (0, negative 2) and (2, negative 4). a. -1 c. -2 b. 2 d. 1
Answer: Choice A) Slope = -1
==============================================
Explanation:
The two points given to us are (x1,y1) = (0,-2) and (x2,y2) = (2,-4)
Subtract the y coordinates
y2-y1 = -4-(-2) = -4+2 = -2
Subtract the x coordinates in the same order
x2-x1 = 2-0 = 2
Divide the two results to get the slope m
m = (y2-y1)/(x2-x1)
m = -2/2
m = -1
y = 7x - 3
Choose 1 answer:
А
Only (1.4)
Only (-1,-4)
Both (1, 4) and (-1,-4)
Neither
Answer:
only (1,4)
Step-by-step explanation:
To find the answer, we simply substitute the x and y values into the equation.
Let‘s try (1,4)
x=1 y=4
4=7(1) -3
4=4
this is correct.
Let’s try (-1,-4)
x=-1 y=-4
-4=7(-1) -3
-4 = -7 -3
-4 = -10
clearly, that is false.
only (1,4)
hope that helps!
AB=x+25, AC=26, and BC= 29 + x. Find x.
Answer:
-14Step-by-step explanation:
Given
AB=x + 25, AC=26, BC= 29 + xAs per segment addition postulate
AB + BC = ACSubstituting values
x + 25 + 29 + x = 262x = -28x = -14A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Select three options.
Answer:
You didnt give the options, I can't help
Answer:
10%=$25.20
25%=$21.00
35%=$18.20
Step-by-step explanation:
Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes of equal weight. Sergio lifted 12 boxes of equal weight, but Sergio's boxes each weighed 10 lb more than Caleb's boxes.
Together they lifted a total of 354 pounds.
What was the weight of one of Caleb's boxes?
Answer:
Step-by-step explanation:
Caleb = 14x
Sergio = 12y
Sergio's boxes each weighed 10 lb more than Caleb's boxes.
y = x + 10
The equation is
14x + 12y = 354
Substitute y = x + 10
14x + 12(x+10) = 354
14x + 12x + 120 = 354
26x = 354 - 120
26x = 234
Divide both sides by 26
x = 234/26
= 9
x = 9lb
Recall,
y = x + 10
= 9 + 10
y = 19lb
Check:
14x + 12y = 354
14(9) + 12(19)
= 126 + 228
= 354
Answer: 19lb
Step-by-step explanation:
5 1/4 of what number is 42
Answer:
8
Step-by-step explanation:
5 1/4 =5.25
42/5.25 = 8
8×5.25 = 42
Answer:
5 1/4 of 800 is 42
Step-by-step explanation:
Change 5 1/4 into a decimal = .0525
(.0525)x =42
divide both sides by 0.0525:
x = 42 / .0525
x = 800
5¼% of 800 is 42
solve the equation 1-4n+1+3n
6 1/2 how many inches
Answer:
78 inches
Step-by-step explanation:
12 TIMES 6 = 72
72+6=78
Find the midpoint of (4, -6) and (8,3) on a graph
Answer:
(6, -1.5)
Step-by-step explanation:
First of all, the formula is
M = ([tex]\frac{xA + xB}{2} , \frac{yA + yB}{2}[/tex])
So, plug in all of your numbers in the fourmula.
m= [tex]\frac{4+8}{2} , \frac{-6+3}{2}[/tex]
Next, you will simply the fraction.
[tex]\frac{12}{2} , \frac{-3}{2}[/tex]
Simplify the rest and you will have
6 for the X and -1.5 for the Y
(6, -1.5)
Evelyn and Tia are having a bake sale. They have 453 cookies. Each box holds 12 cookies. How many boxes do they need?
Answer:
38 boxes
Step-by-step explanation:
* Anyone please give me some information about the following;
• About cone and conic section.(with diagram)
• Describe how are cones, ecllipse, parabola, hyperbola are formed?
(I need full information as much as possible)
Thank you!
Answer: See explanation below
Step-by-step explanation:
A conic is a curve obtained as the intersection of the surface of a cone with a plane. The 4 types of conic section are: 1. Hyperbola 2. The Parabola 3. The Ellipse and 4. Circle.
Hyperbola: When the plane cuts the cone at an angle closer to the axis than the side of the cone a hyperbola is formed.
Cones: A cone is a three-dimensional shape that goes in a diagonal directions from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments connecting from the base to the apex.
Parabola: A parabola is the curve formed by the intersection of a plane and a cone, but only when the plane is at the same slope as the side of the cone.
Ellipse: An ellipse is formed by a plane intersecting a cone at an angle to its base. All ellipses have two focal points and a center and a major and minor axis.
Circles: A circle is formed when the plane is parallel to the base of the cone.
*Note: Some of these answers are PLAGIARISED from the internet as I looked these up and copied & pasted some information, so please paraphrase if turning this in.*
Answer: see below
Step-by-step explanation:
Types of Conics are: Circles, Ellipses, & Hyperbolas.
Here is information about each one:
Circle: Two parabolas facing each other. Distance from the center to the vertices are exactly the same.
(x - h)² + (y - k)² = r²
(h, k) is the center of the circler is the radius of the circleThe 4 vertices are: (h, k+r), (h, k-r), (h + r, k), & (h - r, k)Ellipse: Two parabolas facing each other. Distance from the center to the vertices are not the same.
(x - h)²/a² + (y - k)²/b² = 1
(h, k) is the center of the ellipsea is the horizontal distance from the center to the vertices/co-verticesb is the vertical distance from the center to the co-vertices/verticesIf a > b, then vertices are: (h+a, k), & (h-a, k) and co-vertices are (h, k+b), (h, k-b)If b > a, then the vertices and co-vertices are reversed Use |a² - b²| = c² to find the distance from the center to the foci. If a > b, then Foci = (h+c, k) & (h-c, k). If b > a, then ± from the k-valueExample: (x - 1)²/9 + (y - 2)²/25 = 1
Center (h, k) = (1, 2) a = √9 = 3 b = √25 = 5
Vertices (b > a): (1, 2+5) & (1, 2-5) ==> (1, 7) & (1, -3)
Co-vertices: (1+3, 2) & (1-3, 2) ==> (4, 2) & (-2, 2)
Foci (b > a): c = √(25-9) = 4 --> (1, 2+4) & (1, 2-4) ==> (1, 6) & (1, -2)
Hyperbola: Two parabolas facing AWAY from each other. Distance from the center to the vertices may or may not be the same.
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
↓ ↓
opens left and right opens up and down
(h, k) is the center of the hyperbolaIf x²-y², then vertices are: (h+a, k), & (h-a, k). There are NO Co-vertices.If y²-x², then vertices are (h, k+b), (h, k-b). There are NO Co-vertices.Use a² + b² = c² to find the distance from the center to the foci. If x²-y², then Foci = (h+c, k) & (h-c, k). If y²-x², then ±c from the k-valueThe slope of the asymptotes are ± b/a and pass through the center (h, k)Example: (x - 1)²/9 - (y - 2)²/16 = 1
Center (h, k) = (1, 2) a = √9 = 3 b = √16 = 4
Vertices (x²-y²): (1+3, 2) & (1-3, 2) ==> (4, 2) & (-2, 2)
Foci (x²-y²): c = √(9 + 16) = 5 --> (1+5, 2) & (1-5, 2) ==> (6, 2) & (-4, 2)
Asymptotes: m = ± 4/3 through (h, k) = (1, 2) ==> y = ± 4/3(x - 1) + 2
the side elevation of a storage building is mapped on a coordinate grid. which equation could be used to determine the corresponding x value(s) of the roof line when y=8.3?
Answer:
The correct option is;
[tex]8.3 = -0.5 \times \left | x -5 \right | + 9[/tex]
Step-by-step explanation:
The coordinates of the roof are;
Starting point, = (1, 7)
Maximum height = (5, 9)
Maximum range = (9, 7)
The slope of the left portion of the roof = (9 - 7)/(5 - 1) = 0.5
The equation of the left portion of the roof is given as follows;
y - 9 = 0.5 × (x - 5)
y = 0.5 × (x - 5) + 9
The slope of the right portion of the roof = (7 - 9)/(9 - 5) = -0.5
The equation of the right portion of the roof is given as follows;
y - 9 = -0.5 × (x - 5)
y = -0.5 × (x - 5) + 9
However, when x < 5, we have;
[tex]0.5 \times \left | x -5 \right |= -0.5 \times \left | x -5 \right |[/tex]
[tex]\therefore y = 0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left | x -5 \right | + 9 = 0.5 \times \left ( x -5 \right ) + 9[/tex]
When x > 5, we have;
[tex]0.5 \times \left | x -5 \right |> -0.5 \times \left | x -5 \right |[/tex]
[tex]\therefore y = -0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left ( x -5 \right ) + 9[/tex]
Therefore, the equation that applies to both the left and right portion of the roof is [tex]y = -0.5 \times \left | x -5 \right | + 9[/tex]
Which gives the correct option as follows;
[tex]y = 8.3 = -0.5 \times \left | x -5 \right | + 9[/tex]
Solve for x : 3x - 7 - 2x + 5 = 6
Alicia used 4 gallons of gasoline to travel 90 miles. At the same rate, how far can she travel on a full tank that holds 18 gallons?
Answer:
405 miles
Step-by-step explanation:
Step 1:
4 : 90 = 18 : x Proportion
Step 2:
4x = 1620 Multiply
Step 3:
1620 ÷ 4 Divide
Answer:
405 miles
Hope This Helps :)
what is the solution to x + 7 = 27
Answer:
The answer is x=20
Step-by-step explanation:
27-7=20
x=20
Answer:
20
Step-by-step explanation:
you would take 7 and subtract it from 27 to get your answer
1. (01.02)
Given that f(x) = 4x – 3 and g(x)
2x-1, solve for g(f(2)). (5 points)
Answer:
9
Step-by-step explanation:
The first thing we shall be doing here is substituting f(x) into g(x).
Mathematically, that would be written as g(f(x))
= 2(4x-3)-1 = 8x -6 -1 = 8x - 7
Now we shall find g(f(2)) by substituting 2 into the expression above.
Mathematically, that would be 8(2) -7 = 16-7 = 9
After selling a dozen copies of the daily
newspaper, a newsstand had fewer than
75 copies left. How many copies did the
newsstand have at the beginning of the day?
-inequalities
The lengths of three sides of a triangle are in the ratio 3: 5:
6. The perimeter of the triangle is 28 cm. Find the lengths
of each side of the triangle.
Answer:
3x=6. 5x=10. 6x=12
Step-by-step explanation:
the sides are 6,10,12.
Multiply. Write answer in simplest form 3/4 x 6/8
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
Write it out: [tex]\frac{3}{4}[/tex] × [tex]\frac{6}{8}[/tex] Simplify 6/8, so it now looks like this: 3/4Re-write the expression: 3/4 × 3/44 × 4 = 163 × 3 = 9Write the new fraction: [tex]\frac{9}{16}[/tex]I hope this helps!
The expression (3/4 x 6/8) can be written as equivalent to 9/16.
What is fraction?
In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example - 5/9. Here, (5) is called numerator and (9) is called denominator.
Given is the following expression -
3/4 x 6/8
The given expression is -
3/4 x 6/8
We can write -
(3 x 6)/(4 x 8)
18/32
Reducing to simple terms, we get -
9/16
Therefore, the expression (3/4 x 6/8) can be written as equivalent to 9/16.
To solve more questions on fractions, visit the link below-
brainly.com/question/25398447
#SPJ1
what is the positive value of a in the complex number a + 7i
The imaginary unit number is used to express the complex numbers, where i is defined as imaginary or unit imaginary. We will explain here imaginary numbers rules and chart, which are used in Mathematical calculations.
