[tex]\frac{-1}{18}[/tex]
Solution:
Given expression is [tex]\frac{y}{3}=-6[/tex]
To find the inverse of y.
⇒ [tex]\frac{y}{3}=-6[/tex]
Do cross multiplication.
⇒ y = –6 × 3
⇒ y = –18
Inverse of y means reverse the function.
We know that inverse of y is [tex]\frac{1}{y}[/tex].
⇒ [tex]\frac{1}{y}= \frac{-1}{18}[/tex]
Hence, inverse of y is [tex]\frac{-1}{18}.[/tex]
What is the y-intercept of the line given by the equation below? Enter your answer as an ordered pair.
y = 2x + 10
Final answer:
The y-intercept of the equation y = 2x + 10 is 10, which means the ordered pair for the y-intercept is (0, 10).
Explanation:
The y-intercept of the line given by the equation y = 2x + 10 can be found by looking at the equation in its slope-intercept form, which is y = mx + b. Here m represents the slope of the line, and b represents the y-intercept. Since the y-intercept is the value of y when x is zero, we can determine that the y-intercept for this line is the constant term in the equation, 10. Therefore, the y-intercept as an ordered pair is (0, 10).
Use substitution to solve the linear system of equations.
x = 4
-y = 1/2x
(4, -2)
(-2, 4)
(4, 2)
(2, -4)
Answer:
(4,-2)
Step-by-step explanation:
-y = 1/2(4)
-y = 2
divide both sides by -1
y = -2
f(2/9) if f(x)=3x+1/3 x=2/9
Answer:
[tex]f(\frac{2}{9})=1[/tex]
Step-by-step explanation:
we have
[tex]f(x)=3x+\frac{1}{3}[/tex]
we know that
f(2/9) is the value of the function f(x) when the value of x is equal to 2/9
so
For x=2/9
substitute the value of x in the function and solve for f(x)
[tex]f(x)=3(\frac{2}{9})+\frac{1}{3}[/tex]
[tex]f(x)=\frac{2}{3}+\frac{1}{3}[/tex]
[tex]f(x)=\frac{3}{3}[/tex]
[tex]f(x)=1[/tex]
therefore
[tex]f(\frac{2}{9})=1[/tex]
7. The chess club plans to sell water bottles to raise $455. They have
$175 already. If they sell water bottles for $8 each, at least how many
bottles do they need to sell in order to raise enough money?
Answer:
35 bottles
Step-by-step explanation:
455
- 175 = 280
280 ÷ 8= 35
Proof
8 x 30= 240
8 × 5= 40
240 + 40= 280
16/25 as a decimal fraction in simplest form
Answer:
0.64
Step-by-step explanation:
Divide and multiply by 100.
plz i need help with the question in the picture above please it is due for the next 3 mins will mark brainliest to fast and first answer :
if the sum of two numbers is 10 and their product is 24 find the numbers
Answer:
I have solved the question and it is in the picture above I solve the quadratic equation using factorization method I can solve it using the quadratic formula or completing the square method if you want any of these just comment below thank you bye
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
Second option: On a coordinate plane, rectangle A'B'C'D' prime has points [tex](-4,4),(12,4),(12,-4),(-4,-4)[/tex]
(See the graph attached)
Step-by-step explanation:
For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.
In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:
[tex]A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)[/tex]
Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:
[tex]A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)[/tex]
Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.
Answer:
answer A
Step-by-step explanation:
Keshawn is asked to compare and contrast the domain and
range for the two functions.
which statements could he include in his explanation?
Select two options.
f(x) = 5x
g(x) = 5
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y> 0.
The range of g(x) is y > 0.
Answer:
First and Last Option.
Step-by-step explanation:
Took the test!
Keshawn could include the following statements in his explanation:
The domain of both functions is all real numbers.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Options A, D, and E are the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 5x
g(x) = 5
The domain of a function is the set of all possible input values.
The range of a function is the set of all possible output values.
Now,
For both of these functions, the domain is all real numbers.
This is because we can plug in any value for x and get a valid output.
For example:
If we plug in x = 0, we get.
f(0) = 5(0) = 0
g(0) = 5
For both functions, we get a valid output, even though they are different. We can do this for any real number value of x.
Now,
For f(x) = 5x, the range is y > 0.
This is because the function produces positive output values for any positive input value of x, and negative output values for any negative input value of x.
The only value for which f(x) produces a zero output is x = 0, but this is not included in the range since it is not greater than zero.
For g(x) = 5,
The range is also y > 0.
This is because the function produces a constant output of 5 for any value of x. Since 5 is greater than zero, the range of g(x) is also y > 0.
Thus,
The domain of both functions is all real numbers.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Learn more about functions here:
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What is the answers and steps to solve
7=|3x+9|+7
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given the equation
[tex]7=|3x+9|+7[/tex]
1. Use Addition property of equality, add -7 to both sides:
[tex]7-7=|3x+9|+7-7\\ \\0=|3x+9|[/tex]
2. The absolute value of the number is 0 if and only if the number is 0, so
[tex]3x+9=0[/tex]
3. Use Addition property of equality, add -9 to both sides:
[tex]3x+9-9=0-9\\ \\3x=-9[/tex]
4. Use Division property of equality, divide both sides by 3:
[tex]\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3[/tex]
The solution is x = -3.
To solve the equation 7 = |3x + 9| + 7, let us follow these steps:
First, we simplify absolute value expression:
7 = |3x + 9| + 7
0 = |3x + 9|
The absolute value of a number is zero only when the number itself is zero. So, we set the expression inside the absolute value equal to zero:
3x + 9 = 0
3x = -9
x = -3
The solution to the equation is x = -3.
1) –10x – y = 0
10x – 4y = 0
Answer:
The solution is (0 ,0)
Step-by-step explanation:
–10x – y = 0 (1)
10x – 4y = 0 (2)
solving by elimination:
(1)+(2)⇒ -5y=0 ⇒ y=0
if we replace y by 0 in the first equation we will get :
–10x – 0 = 0 ⇒ x=0
what are the quadratic equations for x=-14
Answer:
[tex]x^{2} +14x=0[/tex]
Step-by-step explanation:
Given:
Given root is
[tex]x=-14,\ 0[/tex]
Now we need to find the quadratic equation for given roots.
Solution:
The given roots are -14 and 0.
So, the sum of the roots.
[tex]\alpha +\beta = -14 + 0[/tex]
[tex]\alpha +\beta = -14[/tex]
Product of the given roots
[tex]\alpha\times \beta = -14\times 0[/tex]
[tex]\alpha\times \beta = 0[/tex]
Therefore, the required quadratic equation is.
[tex]x^{2} -(\alpha +\beta )x+\alpha\times \beta=0[/tex] -------------------(1)
Now we substitute [tex](\alpha +\beta )[/tex] and [tex](\alpha\times \beta)[/tex] in equation 1.
[tex]x^{2} -(-14)x+0=0[/tex]
[tex]x^{2} +14x=0[/tex]
Therefore, the quadratic equation for the given root is. [tex]x^{2} +14x=0[/tex]
Quadrilateral ABCD has 2 sets of parallel sides. That is all you know about it. What
are all the classifications for Quadrilateral ABCD? Mark all that apply.
Kite
Trapezoid
Parallelogram
Rhombus
Square
Rectangle
Answer:
Parallelogram
Rhombus
Square
Rectangle
Step-by-step explanation:
The quadrilateral ABCD has 2 sets of parallel sides. That is all I know about it.
Now, we have to choose from the options that are the classifications for the quadrilateral.
The quadrilateral ABCD can be a parallelogram with opposite sides are equal and no angles are 90°.
The quadrilateral ABCD can be a rhombus with all sides are equal and no angles are 90°.
The quadrilateral ABCD can be a square with all sides are equal and all angles are 90°.
The quadrilateral ABCD can be a rectangle with opposite sides are equal and all angles are 90°. (Answer)
Haley read five more than half as many books as her brother did last summer. Haley read seven books
Which equation could you use to find how many books (b) her brother read?
A. 2b-5 = 7
B. 1/2b+7=5
C. 1/2b+5=7
D. 1/2(7)+5=b
Answer:
C
Step-by-step explanation:
Haley read five more than half as many books as her brother did last summer.
1/2b + 5 = 7 (the amount Haley read)
b = the amount Haley's brother read
Compute the area of the triangle.
h=8 cm
b = 16 cm
a
=
cm2
Answer:
Area of triangle = 64 cm²
Step-by-step explanation:
Base, b = 16 cm
Height, h = 12 cm
Formula of area of triangle:-
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
[tex]A=\dfrac{1}{2}\times 16\times 8[/tex]
[tex]A=64[/tex]
Hence, the area of triangle is 64 cm²
Answer:
Area of triangle = 64 cm²
Step-by-step explanation:
Several properties are used to evaluate this expression. Identify the property used in each step.
21 + (36 + 0 + 19)
21 + (36 + 19):
21 + (19 + 36):
(21 + 19) + 36:
40 + 36
76
Given expression: 21 + (36 + 0 + 19)
Using identity property of addition: a + 0 = a
21 + (36 + 0 + 19) = 21 + (36 + 19)
Using commutative property of addition: a + b = b + a
21 + (36 + 19) = 21 + (19 + 36)
Using associative property of addition: a + (b + c) = (a + b) + c
21 + (19 + 36) = (21 + 19) + 36
Now, add two numbers inside the bracket.
(21 + 19) + 36 = 40 + 36
Using closure property of addition: a + b = c any number.
40 + 36 = 76
Hence 21 + (36 + 0 + 19) = 76.
Is the centroid of a triangle, the center of the circle cirumdcribing it?
Answer:
No
Step-by-step explanation:
No, only if the triangle is a right triangle.
Final answer:
No, the centroid of a triangle is not necessarily the center of the circle circumscribing it. The centroid and circumcenter are distinct points that coincide only in equilateral triangles.
Explanation:
No, the centroid of a triangle is not necessarily the center of the circle circumscribing it. The centroid is the point of intersection of the medians of the triangle, which are the lines connecting each vertex to the midpoint of the opposite side. On the other hand, the circumcenter of a triangle is the center of the circle that passes through all three vertices of the triangle.
In some cases, the centroid and circumcenter might coincide, but this happens only when the triangle is equilateral. In all other cases, the centroid and circumcenter are distinct points.
For example, an equilateral triangle has its centroid and circumcenter at the same point. However, in an isosceles triangle, the centroid will lie on the line segment connecting the midpoint of the base to the opposite vertex, while the circumcenter will lie on the perpendicular bisector of the base.
what is the value of the 8 in this number...1,284,590?
Answer: 8 ten thousands
Explanation: To determine what the digit 8 means in 1,284,590, if we put 1,284,590 into the place value chart, we can see that the the 8 appears in the tens column of the thousands period so the digit 8 in this number means 8 ten thousands.
Find the magnitude and direction of -5i + 10j
Answer:
|-5i+10j| = 5√5 ≈ 11.18
∠(-5i+10j) ≈ 116.57°
Step-by-step explanation:
The magnitude is given by the Pythagorean theorem:
|-5i+10j| = √((-5)² +10²) = √125 = 5√5
The direction is found using the arctangent function. The angle is a second-quadrant angle.
∠(-5i+10j) = arctan(10/-5) ≈ 180° -63.43° = 116.57°
How do you simplify the problem 6(2x+5)+2
Answer:
12x+32
Step-by-step explanation:
6(2x+5)+2
12x+30+2
12x+32
WILL MARK BRAINLIEST AND THANK YOU!! PLEASE HELP!!
Which basic construction if shown here?
A) bisect an angle
B) bisect a like segment
C) construct a parallel line
D) copy a line segment
Answer:
Step-by-step explanation:
A) bisect an angle
How to Simplify 8 - (-14)
Answer:
22
Step-by-step explanation:
8 - (-14)
two subtraction signs become addition
8 + 14
add
22
let x be an integer that satisfies x^4 + 24 = 105. what is the value of x^2 - 24?
Answer: -15
Step-by-step explanation:
[tex]x^{4}[/tex] + 24 = 105
subtract 24 from both sides of the equation .
[tex]x^{4}[/tex] = 105 - 24
[tex]x^{4}[/tex] = 81
find the fourth root of both sides
x = 3
Therefore : substitute x = 3 to find the value of [tex]x^{2} -24[/tex]
[tex]x^{2}[/tex] - 24 = [tex]3^{2}[/tex] - 24
= 9 - 24
= - 15
What is the expanded form of 4(7x+3)
Final answer:
The expanded form of 4(7x+3) is achieved by using the distributive property, resulting in the expression 28x + 12.
Explanation:
The expanded form of the algebraic expression 4(7x+3) involves distributing the 4 to both terms inside the parentheses. This is accomplished using the distributive property of multiplication over addition. The steps are as follows:
Multiply 4 by 7x to get 28x.
Multiply 4 by 3 to get 12.
Combine these products to express the expanded form.
Therefore, the expanded form of 4(7x+3) is 28x + 12.
As for evaluating complex expressions such as 2+x(−7+x(2+x(−8+x(−2+3x)))), you would begin by substituting the value of x and simplifying from the innermost parentheses outwards. However, this is a different exercise than simply expanding an algebraic expression.
What is 90.69 rounded to the nearest tenth
Answer:
90.7
Step-by-step explanation:
90.69
where 6 is tenth place
and 9 is hundredth place to the right of the decimal
the rule for decimals is that we look for the hundredth digit, if it is equal to or greater than 5 then 1 is added to the tenth place digit. and remove all the digits to the right
here 9>5
so 6+1=7
we write
90.7 ANSWER
Which similarity statement is true for the triangle shown ?
Answer:
B
Step-by-step explanation:
A and D are the same spots on the triangles, B and E are the same spots, and C and F are the same spots.
What is the range
37,40,33,45,32,34
Answer:
its 13
Step-by-step explanation:
take the highest and lowest answer and subtract them
if this helped plz give brainlest
The circumference of a circle is 314 units. What is the area?
Answer:
7850 square units
Step-by-step explanation:
According to the question;
Circumference of a circle is 314 units;We are required to find the area of the circle;
First, we need to ask ourselves how we get the perimeter of a circle;Perimeter of a circle = pi × D or 2 pi r
Therefore;
Rearranging the formula;
D = Perimeter ÷ pi
Taking pi to be 3.14
Then;
Diameter = 314 units ÷ 3.14
= 100 units
But, radius = Diameter ÷ 2
= 100 units ÷ 2
= 50 units
We also need to know how we calculate the area of a circle;
Area of a circle = pi×r²
Therefore;
Taking pi as 3.14
Then, Area = 3.14 × 50²
= 7850 square units
Thus, the area of the circle is 7850 square units
Provide three examples of how the purpose of investing is different than the purpose of saving.
Answer:
Investing vs. Saving
Step-by-step explanation:
SAVING
Your "savings" are usually put into the safest places or products that allow you access to your money at any time.Examples: savings accounts, checking accounts, and certificates of deposit.Investing
When you "invest," you have a greater chance of losing your money than when you "saveThe money you invest in securities, mutual funds, and other similar investments is not federally insured. You could lose your "principal," which is the amount you've investedExamples: stocks, bonds, mutual funds, interest-bearing accounts, land, derivatives, real estate, artwork, old comic books, jewelry -- anythingLearn more about saving and investing here :
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If Johnny had 4 apple and Keisha had 6 apple how many did they have all together?
Answer:
10 apple
Step-by-step explanation:
4 + 6 = 10
Can someone give me the correct answer for this.
Vanessa is packing sack lunches for a homeless shelter. Each sack lunch has three sandwiches in it. Which of the following shows how the number of sandwiches, y, changes as the number of sack lunches, x, changes?
Answer:
The correct answer is option C that is graph X.
Step-by-step explanation:
Given : 1 sack lunch has 3 sandwiches
x axis = Number of sack lunches
y axis = Number of sandwiches
The coordinate from the given data will be: (1,3)
So, from the given graphs the graph with coordinate point (1,3) is correct. It will also show change in number of sandwiches with respect to change in number of sack lunches.
Answer:
C = X
Step-by-step explanation: