What is the slope of the linear function represented in
the table?
Answer: C) 1/7
Step-by-step explanation:
Find the Slope
(−7, 0) , (0, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
[tex]y_2 -y_1[/tex]
m = ______
[tex]x_2 - x_1[/tex]
Substitute in the values of x and y into the equation to find the slope.
1 − (0)
m = ______
0 − (−7)
Simplify the numerator.
1
m = ______
0 − (−7)
Simplify the denominator.
Multiply −1 by −7.
1
m = _____
0 + 7
Add 0 and 7.
1
m = ___
7
What is the first step to solving this?
[tex]\sqrt{x-4}=7[/tex]
Answer:
First step is simplifying the equation by moving the square root to the right side and changing it to a Square ²
Step by step:
x-4=7²
(because we changed side square root becomes exponent ²)
x=49+4
x=53
The equation of line j is y=5/7x-9. Line k, which is parallel to line j, includes the point (-7, 1 ). What is the equation of line k ?
Answer:
math waaayys can help you
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(1) = -(x + 1)(0 - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)
Pls help
Given:
Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,
[tex]f(x)=-(x+1)(x-3)(x+2)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex]-(x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]
[tex]x=-1,x=3,x=-2[/tex]
So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get
[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]
[tex]f(0)=-(1)(-3)(2)[/tex]
[tex]f(0)=-(-6)[/tex]
[tex]f(0)=6[/tex]
So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
(x - 3)2 + (y + 7)2 = 121 what's the radius
Answer:
[tex]r=11[/tex]
Step-by-step explanation:
The equation of a circle is commonly denoted as:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.
This equation is already written in that format, therefore:
[tex]r^2=121,\\r=\fbox{$11$}[/tex],
A chef used one-fifth of a bag of potatoes for a meal. If the potatoes fed 2 people, what fraction of the bag did each person get? (Will give brainliest)
Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
can anyone answer
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture
Yall don't like me Ima cry
Answer:
180 grams
Step-by-step explanation:
grams of dark chocolate= 200 % cocoa =60%
Grams of milk chocolate: 200 % cocoa=30%
Amount of cocoa in mixture:
(proportion of milk chocolate+ dark chocolate)
(30% of 200)+60% of 200)
(0.3* 200)+(0.6 *200)
60+120
=180 grams
Answer:
[tex]45\%[/tex]
Step-by-step explanation:
The 200g mixture of dark chocolate is 60% cocoa, meaning there are [tex]200\cdot 0.6=120[/tex] grams of cocoa in this mixture.
The 200g mixture of milk chocolate is 30% cocoa, meaning there are [tex]200\cdot 0.3=60[/tex] grams of cocoa in this mixture.
When mixed together there are a total of 200+200=400 grams of content. Of these 400 grams, 120+60=180 of them are cocoa.
Thus, the concentration of cocoa in the resulting mixture is:
[tex]\frac{180}{400}=\fbox{$45\%$}[/tex]
Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?
Question 4 options:
A)
As x → –∞, y → +∞ and as x → +∞, y → –∞
B)
As x → –∞, y → +∞ and as x → +∞, y → +∞
C)
As x → –∞, y → –∞ and as x → +∞, y → –∞
D)
As x → –∞, y → –∞ and as x → +∞, y → +∞
Question 5 (5 points)
What are the real solutions to the equation 4x3 – x2 – 4x + 1 = 0?
Question 5 options:
A)
x = –1, 1
B)
x = –1, 1∕4, 1
C)
x = –1, –1∕4, 1
D)
x = –1, 0, 1∕4
Question 6 (5 points)
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
Question 6 options:
A)
x = 0, 2, 4
B)
x = –2, –4
C)
x = 2, 4
D)
x = 0, –2, –4
Question 7 (5 points)
Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.
Question 7 options:
A)
Odd
B)
Not enough information given
C)
Neither odd nor even
D)
Even
Question 8 (5 points)
image
The graph is that of a fourth-degree polynomial function. Which of the following correctly shows three factors of the function?
Question 8 options:
A)
(x – 3)(x + 2)(x + 5)
B)
(x + 2)(x – 5)
C)
(x – 3)(x + 5)
D)
(x + 3)(x – 2)(x – 5)
Question 9 (5 points)
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 9 options:
A)
left 2 and downward –3.
B)
right 2 and upward 3.
C)
left 3 and downward 2.
D)
right 3 and upward 2.
Question 10 (5 points)
Which of these is a factor of x3 – 3x2 ?
Question 10 options:
A)
x + 2
B)
x – 3
C)
x – 2
D)
x + 3
The solutions to the functions are
a) x → –∞, y → +∞ and as x → +∞, y → –∞
b) The real solutions to the equation 4x³ - x² - 4x + 1 = 0 is x = -1 , 1 , 1/4
c) The zeros of the function f ( x ) = x³ + 6x² + 8x is x = 0, -2, -4
d) The function is odd
e) The three factors of the function are (x - 3)(x + 2)(x + 5)
f) The translation f (x - 2) + 3 means the function will shift right 2 and upward 3
g) The factor of the function is a = x - 3
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
a)
Let the function be represented as f ( x )
Now , the value of f ( x ) = -5x³ + 3x² + x - 9
The end behavior of the function is given as
As x → –∞, y → +∞ and as x → +∞, y → –∞
b)
Let the function be represented as f ( x )
Now , the value of f ( x ) = 4x³ - x² - 4x + 1
On factorizing the equation , we get
f ( x ) = x² ( 4x - 1 ) - 1 ( 4x - 1 )
f ( x ) = ( x² - 1 ) ( 4x - 1 )
Taking the common factors of the expression , we get
f ( x ) = ( x + 1 ) ( x - 1 ) ( 4x - 1 )
f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 1/4 )
Therefore , the solutions of the equation are x = -1 , 1 , 1/4
c)
Let the function be represented as f ( x )
Now , the value of f ( x ) = x³ + 6x² + 8x
On factorizing the equation , we get
f ( x ) = x ( x² + 6x + 8 )
Taking the common factors of the expression , we get
f ( x ) = x ( x + 4 ) ( x + 2 )
So , the solution of the function are x = 0, -2, -4
d)
The given function f ( x ) = 3x⁵ - 9 is neither odd nor even function
e)
The fourth degree polynomial function is A = ( x + 3 ) ( x - 2 ) ( x - 5 )
f)
Let the function be f ( x )
Now , the translated function is g ( x ) = f ( x - 2 ) + 3
The translation of f (x - 2) + 3 means the function will shift right 2 and upward 3
g)
The factors of the function f ( x ) = x³ - 3x² is f ( x ) = x² ( x - 3 )
Hence , the functions are solved and factorized
To learn more about factorizing click :
https://brainly.com/question/804076
#SPJ7
solve and graph x-2y>_4
Answer:
hope this helps! (OwO)/
Step-by-step explanation:
(2x^3y^4)^3
Thanksbdndkndkdhsohxuxhcjdkdjdd
Answer:
When simplified its 8x^9 y^12
Step-by-step explanation:
What is the surface area of a unit cube?
Answer:
6 units
Step-by-step explanation:
The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.
help please pleasdes
Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
please help this is due in half an hour
Answer:
Can you show the whole question?
Answer:
The other endpoint is (-1, 1).
Step-by-step explanation:
What we know is one endpoint is at (5, -9). The midpoint is at (2, -4).
So, to find the slope, find (yB - yA)/(xB - xA)
(-4 -(-9))/(2 - 5)
(-4 + 9)/(2 - 5)
5/-3
The slope is -5/3.
Knowing this, subtract 3 from the midpoint's x, and add 5 to the midpoint's y.
((2 - 3), (-4 + 5))
The other endpoint is at (-1, 1).
[tex]y = 2 {}^{x} and \: y \: = 2 - {}^{x} [/tex]
graph each group of function in one plane describe the graph.
Please help me pleaseee :((
Step-by-step explanation:
[tex]y = {2}^{x} [/tex]
This is a basic exponential function.
[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]
The (-x) exponent makes a reflection in the y-axis.
Write 45% as a decimal.
Answer:
0.45
Step-by-step explanation:
Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest
a.
Group
The intervals of the horizontal axis.
b. The break in the vertical axis.
c. The break in the horizontal axis.
d. The intervals of the horizontal axis are not labeled correctly.
Which functions are linear
Answer:
its c
Step-by-step explanation:
Can anyone help me with these two questions? Worth 50 points!!
Answers:
Up to down (The y-coordinate is the vertical line in the coordinate plane)
Zero (A slope is made from how much the line rises divided by the distance it takes to do so, a flat, horizontal line will not rise, and therefore will have a slope of 0)
Answer:
1. is B: Up to Down
2. is C: zero
Step-by-step explanation:
The y-coordinate is the vertical line of the graph, so it is up to down.
When you have a horizontal line, that means you have a zero function meaning there is no coordinate on the x-axis.
Addy bough 4 frozen pizzas for the same price each. Her total cost was $12. What was the cost of each pizza.
x + 4 = 12
Answer:
The answer is 3.
You have to do $12 divided by 4 pizzas which is 3. This means that each pizza cost $3.
Hope this helps.
Y-4x=9 in standard form please show your work
Answer:
y = x + 9/4 or y = x + 2 1/4
Step-by-step explanation:
y - 4x = 9
y - x = 9/4 (divide both sides by 4)
y = x + 9/4 (Add x to both sides)
Part A
The data in the line plots show the number of hours volunteers work each week for two different organizations. Find the measures of center and variability of the two sets of data.
Part B
What conclusions can you draw from the two sets of data? Select all that apply
A. Volunteers in organization B spend more time volunteering than volunteers in organization A
B. The median of organization A's data and organization B's data is the same
C. The range of organization B's data is greater than the range of organization A's data
D. The mean and the median of organization A's data are the same
E. The mean and the median of organization B's data are the same
Answer:
line plots do you mean number line, cos no pic is attached
Which equation describes the pattern of the data in the table?
Х
3
4 5 6 7
12 16 20 24 28
у
A y = 4x
B y = 4x+12
1
y = -X
1 x +12
D
4
Answer:
Option A. y = 4x
Step-by-step explanation:
From the question given above, the following data were obtained:
X >> Y
3 >> 12
4 >> 16
5 >> 20
6 >> 24
7 >> 28
Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:
For Option A:
1. y = 4x
x = 3
y = 4 × 3
y = 12
2. y = 4x
x = 4
y = 4 × 4
y = 16
For Option B:
1. y = 4x + 12
x = 3
y = 4(3) + 12
y = 12 + 12
y = 24
2. y = 4x + 12
x = 4
y = 4(4) + 12
y = 16 + 12
y = 28
For Option C:
1. y = ¼ x
x = 3
y = ¼ × 3
y = ¾
2. y = ¼ x
x = 4
y = ¼ × 4
y = 1
For Option D:
1. y = ¼x + 12
x = 3
y = ¼(3) + 12
y = ¾ + 12
y = 51/4
2. y = ¼x + 12
x = 4
y = ¼(4) + 12
y = 1 + 12
y = 13
From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.
Find mike average monthly income based on these weekly incomes
Answer:
Mike's average monthly salary is $ 1,814.
Step-by-step explanation:
To determine Mike's average monthly salary, taking into account that he earns $ 284, $ 292, $ 418, $ 350, and $ 470 weekly, these amounts must be added for the 5-week duration of the month through the following calculation:
284 + 292 + 418 + 350 + 470 = X
1814 = X
Thus, given that this sum totals $ 1,814, Mike's average monthly salary is $ 1,814.
1
The bill at a fancy restaurant is $240. You want to tip 15%. How much will the waitress receive as a tip? *
Please explain your work
A $24
B $36
C $15
D $204
Answer:
answer is c:36. 240x.15=36
A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?
Answer:
15 cm
Step-by-step explanation:
The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.
If we plug in 10 for W, we get this:
2L + 2(10) = 50 <-- the perimeter
2L + 20 = 50
2L = 30
L = 15
1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.
Answer:
The equation for line k is [tex]y = -2x + 6[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
When two lines are perpendicular, the multiplication of their slopes is -1.
The equation for line j can be written as y =1/2x-1
Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:
[tex]\frac{1}{2}m = -1[/tex]
[tex]m = -2[/tex]
So
[tex]y = -2x + b[/tex]
It passes through the point (6,-6).
This means that when [tex]x = 6, y = -6[/tex]. So
[tex]y = -2x + b[/tex]
[tex]-6 = -2(6) + b[/tex]
[tex]b = 6[/tex]
So
[tex]y = -2x + 6[/tex]
Please see screenshot
Answer:. 151/99
Step-by-step explanation:
Take the repeating digits from the decimal equivalent, 52 and place them as the numerator of a fraction with 99 as the denominator. That is 52/99
We can verify this value by doing the long division, or enter the values as 52÷99 on a calculator.
For the improper fraction:
Convert the whole number, 1, to its equivalent, 99/99. ( If the whole number is other than 1, multiply it by the denominator and use the product as the numerator. )
Add the numerators: 52 + 99 = 151
Our improper fraction equivalent of 1.525252 is 151/99
what is the intial value of the function represented by this graph (7,6) (0,3)
Answer: 7
i took the test
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
need help asap please
Answer:
[tex]\displaystyle 120°[/tex]
Step-by-step explanation:
Again, this an isosceles triangle, therefore the centre base angles are congruent at 60°. This means you double 60° to get 120°.
I am joyous to assist you at any time.