Answer:
1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.
So, if we say that y is her weekly income and x is her weekly sales, we can write this as:
y = 760 + 0.075x
Note that we had to change percentage to decimal number dividing it by 100.
2 Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.
Since this is a function, it can also be written as:
f(x) = 760 + 0.075x
3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).
All this means that appropriate domain for this function are positive real numbers including 0.
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
3/4n=1/2 what is n
Answer:
n=2/3
Step-by-step explanation:
n=1/2÷3/4
n=1/2×4/3
n=4/6
n=2/3
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
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
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)
9. A parallelogram is a quadrilateral.
True or False?
Answer:
YES
Step-by-step explanation:
Quadrilateral have 4 sides and their sum of angles is 360 and parallelogram also have 4 sides and sum of angles is 360
Final answer:
The statement that a parallelogram is a quadrilateral is true. A parallelogram is a type of quadrilateral with parallel opposite sides, and its properties are related to the parallelogram law in vector addition.
Explanation:
A parallelogram is indeed a type of quadrilateral with two pairs of parallel sides. In geometry, quadrilaterals are four-sided polygons, and parallelograms are a specific class within that category. Furthermore, in the context of vector addition, the parallelogram law shows how two vectors can combine to form the sides of a parallelogram. This law is closely related to the triangle law of vector addition as both can depict how vectors combine.
An example of the parallelogram's properties in advanced concepts would be where two objects at rest have world-lines that define a rectangle which may become a parallelogram in a different frame of reference. Additionally, the concept of vectors is also relevant when discussing the diagonals of a rhombus, which is a special type of parallelogram with all sides equal in length. Using vectors and their scalar products, it can be shown that the diagonals of a rhombus are always perpendicular to each other.
16/25 as a decimal fraction in simplest form
Answer:
0.64
Step-by-step explanation:
Divide and multiply by 100.
The ratios of the angles in ABC is 3:5:7. Find the
measure of the angles.
The smallest angle is
So you have a diagram or picture of the triangle?
Anyways...
Answer: 36
Explanation:
3:5:7 is the ratio of the triangle's angles
The sum of all angles = 180 degrees.
3 + 5 + 7 = 15
Lets assume 'a' is the smallest angle with the ratio of 3
b is the second largest with a ratio of 5
And c is the largest angle with the ratio of 7
In other words:
a + b + c = 180
For 15 to get to 180 => 180 ÷ 15 = 12
So 15 × 12 = 180
So for 3 to get to a => 3 × 12 = 36
Thus the smallest angle is 36 degrees
Answer:s
The three angles are 36, 60, and 84 degrees
Smallest angle is 36 degrees
======================================================
Explanation
The ratio 3:5:7 is equivalent to 3x:5x:7x as we can multiply all parts of any ratio by the same number, and still have it be the same ratio.
So we can think of the three angles as 3x, 5x, 7x
Add up those angles. Set them equal to 180 and solve for x.
3x+5x+7x = 180
15x = 180
x = 180/15
x = 12
Use this x value to find the three angle measures
3x = 3*12 = 36
5x = 5*12 = 60
7x = 7*12 = 84
As a check, add up the angles to get: 36+60+84 = 180
So the answer is confirmed.
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:
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
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.
What is -15x + 80 > 170
Answer:
Step-by-step explanation:
Value of x should be less than (-6).
x = { .......,-9,-8,-7}
For example:
-15*-7 +80 = 105+80 = 185 >170
The solution to the inequality -15x + 80 > 170 is x < -6. We subtract 80 from both sides and then divide by -15, remembering to reverse the inequality sign.
Explanation:The question provided asks for the solution to the inequality -15x + 80 > 170. To solve the inequality, we can follow these steps:
Subtract 80 from both sides to get -15x > 90.Divide both sides by -15 to solve for x, remembering that dividing by a negative number in an inequality reverses the inequality sign, resulting in x < -6.Therefore, the solution to the inequality is all values of x that are less than -6.
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°
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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James spent half of his weekly allowance on clothes. To earn more money his parents let him clean the oven for $8. What is his weekly allowance if he ended with $15.
Answer: 14
Step-by-step explanation: If you add 7 to 8 you get 15 so if he spent half of his allowance you multiply 7 by 2 so your answer is 14.
James's weekly allowance is calculated by setting up an equation based on the information given. After spending half of his allowance on clothes and earning an additional $8, the equation 0.5A + $8 = $15 is solved to reveal that James's weekly allowance is $14.
The student's question involves solving for James's weekly allowance, given that he spent half of it on clothes and earned an additional $8 by cleaning the oven, which resulted in him having a total of $15 at the end. To solve the problem, we need to set up an equation where 'A' represents James's weekly allowance.
James spent half of his allowance on clothes, which means he has half of it left. So, we can represent this as 0.5A. Then he adds $8 from cleaning the oven: 0.5A + $8 = $15. We isolate 'A' by subtracting $8 from both sides of the equation: 0.5A = $15 - $8, which simplifies to 0.5A = $7. To find the full value of his allowance (A), we divide by 0.5: A = $7 / 0.5, so A = $14.
Thus, James's weekly allowance is $14.
1/24 without the fraction bar
Answer:
You can say it as 1 : 24
Step-by-step explanation:
PLZ help pic included
[tex]x = 4.82[/tex]
Step-by-step explanation:
Given equation is:
6.2 ÷ (2x+1) = 2 1/3 ÷4
Applying the division operation
[tex]\frac{6.2}{2x+1} = 2\frac{1}{3} * \frac{1}{4}\\\frac{6.2}{2x+1} = \frac{7}{3}*\frac{1}{4}\\\frac{6.2}{2x+1} =\frac{7}{12}\\[/tex]
Cross multiplication
[tex]6.2(12) = 7(2x+1)\\14x+7 = 74.4\\14x = 74.4-7\\14x = 67.4[/tex]
Dividing both sides by 14
[tex]\frac{14x}{14} = \frac{67.4}{14}\\x = 4.8142857....[/tex]
Rounding off to nearest hundredth
[tex]x = 4.82[/tex]
Keywords: Linear equation, variables
Learn more about linear equation at:
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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:
2. Which expression is NOT equal to 125? (1 point)
Answer:
The answer is the first one
Keelie has a triangular-shaped card. The lengths of its sides are 3.9 cm, 5.2 cm, and 6.5 cm. Is the card a right triangle?
Answer:
Yes
Step-by-step explanation:
Since the longest side is 6.5 cm, so let it be hypotenuse c.
Verifying by right angle formula
c^2=a^2+b^2
(6.5)^2=(3.9)^2+(5.2)^2
42.25=15.21+27.04
42.25=42.25
Hence the given triangle is a right angles triangle
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 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.
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 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
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:
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]
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.
Three national news networks are trying to estimate what percentage of
American voters support a particular presidential candidate. To estimate the
population parameter, each of the three networks collect data from a simple
random sample of voters. Here are the numbers of voters in the networks
random samples:
• Network A: 1500 voters sampled
• Network B: 1250 voters sampled
• Network C: 1800 voters sampled
Which sample is likely to have the least variability?
O
A. The Network A sample
O
B. The Network B sample
O
C. The Network C sample
Answer:
Option C. The Network C sample.Explanation:
The variability of a sample may be described by using some common statistics like the variance and the standard deviation.
The variance and the standard deviation measure the difference between the values of the data and the mean. The variance is the average square of those differences or deviations. The standard deviation is the square root of the variance.
Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.
That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.
Hence, Network C, which has the greatest number of voters sampled (1,800) is likely to have the least variability.
Answer:
A
Step-by-step explanation:
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.