The vertex of the equation is (0, -1), the line of symmetry is x = 0 and the y-intercept is (0,-1).
For the equation f(x) = [tex]-3x^7[/tex] + 2x - 1, the vertex is the highest or lowest point on the parabola and it can be found by completing the square method.
To find the line of symmetry, we can set the function equal to zero and solve for x. The x-coordinate of the vertex is the same as the line of symmetry.
The y-intercept is the point at which the parabola crosses the y-axis, and it can be found by setting x equal to zero and solving for y.
The vertex of the parabola:
The equation is in form f(x) = a[tex](x-h)^2[/tex] + k, where a is -3, h is the x-coordinate of the vertex and k is the y-coordinate of the vertex. In this case, h = 0 and k = -1.So the vertex is (0, -1)The line of symmetry:
We can set the function equal to zero and solve for x:[tex]-3x^7[/tex] + 2x - 1 = 0The x value that makes the equation equal to zero is x = 0So the line of symmetry is x = 0The y-intercept:
We can set x equal to zero and solve for y: f(0) = [tex]-3(0)^7[/tex] + 2(0) - 1 = -1So the y-intercept is (0, -1)To learn more about vertex, line of symmetry, and intercept at
https://brainly.com/question/29204747?referrer=searchResults
#SPJ4
Here are several function rules. Calculate the output for rules 1–5 when you use -6 as the input for each rule. Simplify fractions and express in the form a/b if necessary and use the word pi for π
.
Answer: 13,36,-2,-2,pi
Step-by-step explanation:
You do exactly what it says for the rule to -6 to get your answer.
4. Xin is getting an estimate from a printer for fliers for the drama club. Xin
orders color prints and negotiates a 10% discount on the print job for
the drama club. If f represents the number of fliers Xin orders, does
0. 10(17. 50 +0. 20f) represent the total cost of the print job? Why or why not?
Setup
Black & white print
Color print
$17. 50
$0. 09 each
$0. 20 each
yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.Given that,
10% discount on the print job
thus, 10% = 0.10.
Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
so, we get: 0.10 × (17.50 + 0.20f)
Yes, 0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.
To know more about expressions refer to:
https://brainly.com/question/1859113
#SPJ4
in a school, students either study french, german or spanish. They study one language each. 11 percent of students study french 27percent students study spanish. what fraction of the students study German
Answer:
62%
Step-by-step explanation:
First, you got the formulate: 1-27%-11%
Second, calculate the difference: 0.73-0.11
Third, the sum is 0.62
Then you multiply 0.62 ×100\100
Write a single fraction: 0.62×100\100
Calculate the product or quotient: 62\100
100% to a percentage: 62%
That is your answer 62%
(I NEED THIS RIGHT AWAY!) (PLS HELP) Lynette earns $5 by delivering newspapers. She saves $3 and she spends the rest. If she saved $27 one month, how much did she spend?
Answer:
$18
Step-by-step explanation:
To find how many times she has saved money, you would do 27/3=9. This means that she worked 9 times. Since she worked 9 times, she earned $45 in total. To find how much she saved you would do 45-27=$18
Charles and Paul each have a computer repair business.
Charles charges a diagnostic fee of around 60$ plus 12$ per hour spent on computer repairs.
Y= 12x+60
Paul charges a diagnostic fee of 40$ plus 16$ per hour spent on computer repairs.
The situation is graphed in the picture
Y= 16x+40
*Which statement BEST describes the system of equations?
A. For repairs requiring 2 hours of work, the total amount charged by Charles will be 72$ and the total amount charged by Paul will be 84$
B. For repairs requiring 8 hours of work, the total amount charged by Charles will be 168$ and the total amount charged by Paul will be 156$
C. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 100$
D. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 120$
(This is just too much to look at for me so If anyone can figure it out I greatly appreciate it)
For repairs that take five hours to complete, Charles and Paul will each charge a total of $120.
What is the graph's equation?In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.
What are the three techniques for graphing equations?For charting linear functions, there are three fundamental techniques. The first method involves tracing a line through a set of points that have been plotted. The second method makes use of the slope and y-intercept. Applying transformations to the identity function f(x)=x f(x) = x is the third step.
To know more about graph equation visit:-
https://brainly.com/question/1971145
#SPJ1
EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
Graph of given system of equations is shown in figure with intersection point (2, 4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The system of equation is,
⇒ 2x + y = 8
⇒ - x + 2y = 6
By solving both equation , we get;
⇒ (x, y) = (2, 4)
Thus, The graph of system of equation intersect on point (2, 4).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
About 3/4 of a person weight is water. If a student weighs 100 lbs, how much of his weight is water
Answer:
75 of his weight is water
Step-by-step explanation:
3/4 * 100
3 * 100/4
3 *25
The answer is 75
Answer: 75 pounds
Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75
-Damien Kubinec
Someone please help me on this & I promise I’ll make sure you get points
The common factors and the greatest common integer for each pair of numbers are:
Common prime factors Greatest common factor
30, 45 3 and 5 5
40, 70 2 and 5 5
63, 42 3 and 7 7
81, 54 3 3
33, 99 3 and 11 11
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
30 and 45
3 x 5 x 2 = 30
3 x 3 x 5 = 45
Common prime factors = 3 and 5
Greatest common factor = 5
40 and 70
2 x 5 x 4 = 40
2 x 7 x 5 = 70
Common prime factors = 2 and 5
Greatest common factor = 5
63 and 42
3 x 3 x 7 = 63
2 x 3 x 7 = 42
Common prime factors = 3 and 7
Greatest common factor = 7
81 and 54
3 x 3 x 3 x 3 = 81
2 x 3 x 3 x 3 = 54
Common prime factors = 3
Greatest common factor = 3
33 and 99
3 x 11 = 33
3 x 3 x 11 = 99
Common prime factors = 3 and 11
Greatest common factor = 11
Thus,
Common prime factors are given above.
The greatest common factor is given above.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
A boat is traveling due east for 130 miles. The boat travels another 72 miles at a bearing N38E. Determine the distance, direction angle, and bearing of the boat from its original location.
The distance of the boat is 191.2 miles, 12.8° and N12.8E from the original location.
Using Trignometry to find the boat's distance:To calculate the distance, direction angle, and bearing of the boat from its original location, we will need to use trigonometry to determine the final position of the boat.
a) The distance traveled in the eastward direction is 130 miles. Then, using the bearing of N38E, we can calculate the northward and eastward distances traveled in the second leg of the journey. The bearing of N38E can be thought of as an angle of 38 degrees measured clockwise from due east.
Using trigonometry to calculate the northward distance traveled, we have,
(72 miles) * (sin 38°)
= 36 miles
And the eastward distance traveled is (72 miles) * (cos 38°)
= 59.04 miles.
The final position of the boat is at a distance can be calculated by:
130 miles east + 59.04 miles east
= 189.04 miles east and 36 miles north from the original location.
b) To find the distance from the original location, we use the Pythagorean theorem,
d = [tex]\sqrt{189.04^{2} +36^{2} }[/tex]
d = 191.2 miles
To find the direction angle, we use arctan(north/east) = arctan(36/189.04) = 12.8°
Bearing is the direction angle measured clockwise from north. So, bearing = 12.8°
Hence, the final position of the boat is 191.2 miles, 12.8°, and N12.8E from the original location.
Learn more about bearing on
https://brainly.com/question/22013596
#SPJ1
In case you don't see the picture:
What is the decimal form of form of -1 1/12
A. -1.083 (bar notation on 3) THE CORRECT ONE.
B -1-083 (barnotation on 83)
C -1-083 (bar notation on 083
D -1-083
Greg chose C as the correct answer. How might he have gotten that answer. !!!!!!!!!!!!!!!!
HELP ME PLEASEEEE! WHY DID GREG CHOOSE THATT.
The decimal form of the -1 1/12 is obtained by finding the sum of -1 and -1/12 (-1/12 = -0.08[tex]\overline{3}[/tex] a recurring decimal), which is the option A
A. -1.08[tex]\overline{3}[/tex]
What is a recurring decimal?A recurring decimal is a decimal that has a digit or a group of digits that is continuously repeated in the decimal.
The specified expression, -1 1/12, can be presented as follows;
[tex]-1\dfrac{1}{12}[/tex]
The value of the specified expression in decimal form is therefore;
[tex]-1\dfrac{1}{12}= -1+\left( - \dfrac{1}{12}\right)[/tex]
[tex]- \dfrac{1}{12} = -0.08\overline{3}[/tex]
The fraction -1/12, therefore consist of a recurring decimal, with the 3 in the thousandth place after the 8 being the part that repeats.
Therefore, the value of the expression, [tex]-1+\left( - \dfrac{1}{12}\right)[/tex] is -1 + (-0.08[tex]\overline{3}[/tex])
-1 + (-0.08[tex]\overline{3}[/tex]) = -1.08[tex]\overline{3}[/tex]
The specified expression is therefore;
[tex]-1\dfrac{1}{12}[/tex] = -1 + (-0.08[tex]\overline{3}[/tex]) = -1.08[tex]\overline{3}[/tex]
The correct option is option A
A. -1.08[tex]\overline{3}[/tex]The option C. -1.[tex]\overline{083}[/tex] is incorrect, the correct option is option A
Learn more about recurring decimals here: https://brainly.com/question/20898146
#SPJ1
Draw the image of quadrilateral ABCD under the translation (x, y) to (x-7, y+1).
help me please!
What is the degree of the polynomial 7x3 5x 4x5 2x2?
The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .
The given polynomial is 7x³ + 5x + 4x⁵ + 2x²
To find the degree of the polynomial we will write the equation down in the descending power of x
which is ,
4x⁵ + 7x³ + 2x² + 5x
Here , the highest power of the variable that appears with nonzero coefficient is 5.
So ,degree of the polynomial is said to be 5.
The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.
To learn more about polynomials
brainly.com/question/29251817
#SPJ4
Give three solutions of the inequality
6 - 11x < 61
Answer:
x > -5
( -5, ∞)
Step-by-step explanation:
6 - 11x < 61
Subtract 6 from both sides
-11x < 55
Divided both side by -11. When divided by a negative number the < switch to >
So, the answer is
x > -5
Or
(-5, ∞)
Please help me find x and y. May you also tell me the steps in which to do so.
Answer:
x=
y=31
Step-by-step explanation:
hope this helps
Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator
Answer: 1 3/4 = 35/20 and 1 4/5 = 36/20
Step-by-step explanation:
1 3/4 = 7/4
Multiply top and bottom by 5 to get 35/20
1 4/5 = 9/5
Multiply top and bottom by 4 to get 36/20
i) a butcher has some hamburger that is 80% lean and some that is 88% lean. he wishes to make 800 ponds of a burger mix that is 83% lean. how much of each type should he use?
by splanation, in be clearly what he taking about. the hamburger, usually. is 1/4 p.1/2 p. in triple hamburger on 4 by 4
The number of used hamburgers that is 80% lean is = 500
and the number of used hamburgers that is 88% lean is = 300.
Let the number of hamburger that is 80% lean be = x.
So the number of hamburger that is 88% lean is = 800 - x
According to question after the mixing all these the total percentage of lean in 800 ponds of burgers is 83%.
So, the suitable mathematical equation is,
80% of x + 88% of (800 - x) = 83% of 800
(80/100) x + (88/100) * (800 - x) = (83/100) * 800
80x + 88 (800 - x) = 83 * 800 [Multiplying 1000 with both sides]
80x + 88 * 800 - 88x = 83 * 800
88x - 80x = 88 * 800 - 83 * 800 = 800 (88 - 83) = 5 * 800
8x = 800 * 5
x = (800 * 5)/8 = 100 * 5 = 500
Hence the number of hamburger with 80% lean is 500 and the number of hamburger with 88% lean is = (800 - 500) = 300.
To know more about percentage here
https://brainly.com/question/32848105
#SPJ2
23x² + 6x + 7 please help
Answer:
the expression can be factored into (x+4)(23x + 7) and it is a product of two binomials.
Step-by-step explanation:
The expression 23x² + 6x + 7 is in the form of a quadratic equation. A quadratic equation is an equation in the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. In this case, the coefficients of the x², x, and the constant term are a = 23, b = 6, c = 7.
One way to factor a quadratic equation is by using the factoring by grouping method, where we group the terms in pairs and factor out the greatest common factor (GCF) from each group.
Here is one way to factor this equation:
23x² + 6x + 7 = (23x² + 6x) + 7
= (23x² + 6x) + 7
= (23x² + 6x + 6x) + 7
= (23x² + 12x) + 7
= (23x(x) + 3x(4)) + 7
= (23x(x+4) + 7)
= (x+4)(23x + 7)
So the expression can be factored into (x+4)(23x + 7) and it is a product of two binomials.
It's important to note that the above expression factors into a product of two binomials and not two factors of 23x² + 6x + 7
You can also use Quadratic formula to solve the above expression if this method seems confusing.
What is the measure of ∠A if it is congruent to ∠B?
If measure of angle A is congruent to measure of angle B, then angle will be equal to angle B.
Define the term congruent angles?Angles that really are identical to each other are referred to as congruent angles (and to themselves).
Angles that are congruent can also be acute, obtuse, exterior, and interior. No matter what kind of angle you have, if indeed the measure for angle one and angle two are the same, the angles are congruent.Two or more angles must have equal measurements in degrees as well as radians to be considered congruent. Congruent angles don't have to be created with the same figures or face the same direction (rays, lines, or the line segments). Both angles are congruent if the two measurements of the angles are equivalent.Thus, if measure of angle A is congruent to measure of angle B, then angle will be equal to angle B.
To know more about the congruent angles, here
https://brainly.com/question/11949261
#SPJ4
Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
I need IXL answer's PLEASE
The scale factor of the drawing of the neighborhood park would be = 2000.
What is a scale factor?The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).
The width of the neighborhood park. in real life = 8 meters
To convert 8 meters to millimetres is to multiply by 1000
= 8 × 1000 = 8000 mm
The scale factor = 4 × X = 8000
make X the subject of formula;
X = 8000/4
X = 2000.
Learn more about scale factor here:
https://brainly.com/question/28339205
#SPJ1
solve (x-3)^2=49. select the values of x
Answer:
x1=-4 x2=10
Step-by-step explanation:
step 1: x-3 = +/- 7 <--- take the square roots of both sides of the equation and use both positive and negative roots
step 2: x-3 = -7
x-3=7
step 3: x-3=-7--> x=-4
x-3=7--> x=10
step 4:x1=-4, x2=10 is the answer
Can somebody help me solve this equation? Thanks.
Answer:
15w^2
Step-by-step explanation:
The reason being is note how it says portrait, so assume the shape of a square, because it says 3 inches on all sides, and it also mentioned 1.5 times w, so in turn, 15w^2
Refer to the attached image.
What is the value of tan θ?
The value of tan 1 is 45 degree.
tangent is the trigonometric ratio.
we can find out the value of tangent by taking opposite side of the theta angle divided by the adjacent side of the theta angle.
tan Q = perpendicular of triangle /base of triangle.
sine theta divided by cos theta gives the value of tan theta.
tan Q = sin Q/ cos Q.
some formula of the tan Q are as follows,
1- tan Q = sin Q/cos Q
2- tan Q= 1 /cot Q
3-tan^2 Q =sec^2 Q -1
4- tan(90 - Q)=cot Q
5- tan (Q+π)=tan Q
6- tan (π-Q)=-tan Q
Learn more about Trigonometry here:-
https://brainly.com/question/29002217
#SPJ4
Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. Add: 3a 3 8a - 6 and 4a 2 - 9a 11
Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11 gets 3a³ + 4a² - a + 5.
The answer in descending powers of a is 3a³ + 4a² - a + 5.
A polynomial is a mathematical expression consisting of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents.
Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11
(3a³ + 8a - 6) + (4a² - 9a + 11) = 3a³ + 4a² - a + 5
The coefficients of a³, a², a and 1 is 3, 4, -1 and 5 respectively.
Descending powers of a in the polynomial is a³, a², a. So the answer in descending powers of a is 3a³ + 4a² - a + 5.
--The question is incomplete, answering to the question below--
"Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a.
Add: 3a³ + 8a - 6 and 4a² - 9a + 11"
To know more on polynomial
https://brainly.com/question/22236183
#SPJ4
How fast is a motorcycle that is going 6 miles in 4 minute?
Answer:90
Step-by-step explanation:
4) It was recommended that the trees be planted 10 feet apart. The school chose to plant the first tree 15 feet away from the property line fence and then to space the trees 10 feet apart accordingly. Write a linear equation with y representing the total distance (in ft.) away from the property line fence and x representing the number of trees used.
a) Write another linear equation for this situation but use a different form.
b) Graph the situation described in question #4.
The linear function that model this problem is y = 10x + 15 and in standard form is 10x - y = -15
What is a Linear EquationA linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. It is of the form ax + b = 0, where a and b are constants and x is a variable.Sometimes, a linear function can also be said to be a linear equation which is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. Linear equations are used to describe relationships between two variables, and they can be used to solve a wide range of problems.
In this problem, we can write an equation in slope-intercept form.
This can be modelled in y = mx + c
To model the problem,
y = 10x + 15
a) To rewrite the problem in another form of linear equation, we can write this in the standard form.
Ax + By = C
10x - y = -15
b) The graph of the problem is attached below
Learn more on linear equation here;
https://brainly.com/question/18831322
#SPJ1
Which of the following best describes the figure with vertices (1, -4), (-2, 1), (3, 4) and (5, 2)?
Answer fast pls
Square
Parallelogram
Quadrilateral
Rectangle
Answer choices
The best description of the figure with the vertices given is, C. Quadrilateral
How to find the figure ?The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.
The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.
To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.
The length of (1, -4), and (-2, 1) is:
= 5.83 units
The length of (-2, 1), and (3, 4) is:
= 5.83 units
The length of (5, 2) and (3, 4) is:
= 2.82 units
The length of (5, 2) and (1, -4 ) is:
= 7.21 units
The shape is neither a square nor a rectangle so it is a quadrilateral.
Find out more on quadrilaterals at https://brainly.com/question/27991573
#SPJ1
A square has an unknown side length, 2x. Write a simplified expression for its perimeter (distance around the
outside of an object. Remember, side plus side plus...)
The simplified expression for its perimeter and area are 8x.
What is the perimeter of a square?The perimeter of a square is the sum of the lengths of all the sides of a square. Thus, by summing the lengths of a square's four sides, we can get its perimeter.
An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.
The formula for finding the Perimeter of square = 4*a
= 4 * 2x
= 8x
Perimeter of square = 8x
Hence, the simplified expression for its perimeter is 8x
Learn more about perimeter of a square:https://brainly.com/question/479529
#SPJ1
Is angle 1 vertically opposite to angle 4?
Yes, angle 1 is vertically opposite to angle 4 because they are formed due to the intersection of straight lines.
When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
For example, if two lines intersect and make an angle, say X=55°, then its opposite angle is also equal to 55°. And the adjacent angle to angle X will be equal to 180 – 55 = 125°
In the given figure, ∠AOC and ∠BOD form a pair of vertically opposite angles and similarly ∠AOD and ∠BOC form such a pair. Therefore,
∠AOC = ∠BOD
∠AOD = ∠BOC
To know more about straight lines, here
https://brainly.com/question/4695375
#SPJ4
Solve the proportion.
8 / 3 = g / 3
a. 1 / 8
b. 9 / 8
c. 8
d. 8 / 9
What is the slope of the line that passes through the points (-5, 8)(−5,8) and (-5, 4)(−5,4)?
The slope of the line that passes through the points (-5, 8)and (−5,4) is undefined.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that passes through the points (-5, 8)and (−5,4).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂),
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (4-8) / (-5 + 5)
m = -4/0
The slope is undefined.
Therefore, the slope is undefined.
To learn more about the slope;
brainly.com/question/3605446
#SPJ1