what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?
Answer:
The complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
Step-by-step explanation:
Considering the function
[tex]f(x)=-8x+13[/tex]
As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.
Now
As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).Putting x = -2 in f(x) to determine the range for the value x = -2
[tex]f(x)=-8x+13[/tex]
[tex]f(-2)=-8(-2)+13=16+13=39[/tex]
Putting x = 0 in f(x) determine the range for the value x = 0
[tex]f(x)=-8x+13[/tex]
[tex]f(0)=-8(0)+13=0+13=13[/tex]
Putting x = 0 in f(x) determine the range for the value x = 3
[tex]f(x)=-8x+13[/tex]
[tex]f(3)=-8(3)+13=-24+13=11[/tex]
Therefore, the complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
Please help!!!!!!!!!!
Answer:
The overall average is 70 dollars for all weeks together
Answer:
The average amount Mrs. Johnson spent per week is 70 dollars.
Step-by-step explanation:
47+96+78+61+68/5 = 350/5 = 70
Which system is equivalent to StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout
Answer:
second option :)
Step-by-step explanation:
Answer:
B.
StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout
Step-by-step explanation:
what is the slope of the line through the point (-4,6) and (-3,-1)?
a. -2/1
b. -7/1
c. -1/2
d. -1/7
Answer:
B.) -7/1
Step-by-step explanation:
Finding the slope we use: y2 - y1/x2 - x1
m = -1 - 6/-3 - (-4)
m = -7/-3 + 4
m = -7/1
PLEASE HELP!! I have asked this many times with no answers I really need help.
What is the direction, y-intercept, and zeroes of f(x) = 4x^2 + 10x + 12.
The direction of f(x) = 4x² + 10x + 12 is in upward direction.
y intercept of the f(x) is (0,, 12).
And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
What is function?
Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(x) = 4x² + 10x + 12.
The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.
To find y intercept of the function,
Substitute x = 0, in the function,
f(x) = y = 4 (0)² + 10 (0) + 12
y = 12
The y intercept of the function is (0, 12).
To find the number of zeros, Substitute f(x) = 0,
Implies that,
4x² + 10x + 12 = 0
The values of x for the given quadratic equation are,
x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i
The number of zeros is two at -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
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pls help quickly thank you
Answer: $637
Step-by-step explanation:
Solve for x.
x/3+y=2x+19
Answer:
The answer is [attached photo].
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
(3+y)-19=x
Step-by-step explanation:
x/3+y=2x+19
=3+y=2x-x+19
(3+y)-19=x
A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?
Answer:
(a) Index finger
(b) Ring finger
(c) Index finger
Step-by-step explanation:
Taking thumb as standard for the question.
Thumb series 1 , 9 , 17 ,25, 33......
general term for this
a(n) = 1 + (n-1)8
= 1 + 8n -8
= 8n -7
(a) For 1 to 10
8n -7 = 10
8n = 16+1 (remainder)
so the thumb is for 9 and the next is index finger.
10th = index finger.
(b) for 1 to 100
8n - 7 = 100
8n= 107
107 = 13x 8 + 3(remainder)
so the third finger from thumb is Ring finger
100th = Ring finger
(c) 8n - 7 = 1000
8n = 1007
1007= 125x8 +7 (remainder)
so the 7th finger next to thumb is Index finger
1000th = index finger
What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6?
Answer:
y - 1 = 1/6x + 1 <<< Point slope form
y = 1/6x + 2 <<< slope intercept form
Either one works unless the question specifies the form of the equation
Step-by-step explanation:
Point slope form: (y - y1) = m(x - x1)
Given: (-6,1) ; m = 1/6
(y - 1) = 1/6(x - (-6))
y - 1 = 1/6x + 1 <<< Point slope form
y = 1/6x + 2 <<< slope intercept form: y = mx + b
what is the slope of (1,9) and (6,34)
Answer:
[tex]m=5[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (1, 9)
Point (6, 34)
Step 2: Find slope m
Substitute: [tex]m=\frac{34-9}{6-1}[/tex]Subtract: [tex]m=\frac{25}{5}[/tex]Divide: [tex]m=5[/tex]Answer:
The slope is 5
Step-by-step explanation:
so you use formula m= y2-y1/x2-x1 and use 34 as y2, 9 as y1, 6 as x2 and 1 as x1 then plug in numbers when using the formula and do the math and get your slope
What is the equation of the line in slope-intercept form that is perpendicular to the line y = -x-2 and passes
through the point (-12, 10)?
O y=-x-6
O y=-x + 6
Oy= x + 26
O y = x + 10
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.
To find the equation of the line that is perpendicular to this line,
We need to use the fact that the product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular line be m'.
Then:
-1 x m' = -1
m' = 1
So the slope of the perpendicular line is 1.
We also know that the perpendicular line passes through the point (-12, 10).
Using the point-slope form of the equation of a line, we have:
y - y(1) = m' (x - x(1))
Substituting m' = 1 and (x(1), y(1)) = (-12, 10),
We get:
y - 10 = 1 (x + 12)
Simplifying this equation gives:
y = x + 22
Thus,
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
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Jaycee bought 6 pounds of steak. The steak cost $4.95 per pound. How much
did Jaycee pay for the steak?
Answer:
Jaycee paid $29.70 for 6 pounds of steak.
Step-by-step explanation:
You multiply the number of pounds times the cost per pound.
$4.95 * 6 = 29.70
Function or not a Function?
As an estimation we are told 5 miles is 8 km.
Convert 60 km to miles.
Answer:
37.5 miles
Step-by-step explanation:
We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.
[tex]60/1.6=37.5[/tex]
Hope this helped!
Answer:
96 km
Step-by-step explanation:
I try it its 96 km
Trust me
giving brainly
what is the equation of the line in slope intercept form
Answer:
y=-4/3x-60
Step-by-step explanation:
Answer:
y=-4/3x-60
Step-by-step explanation:
The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3
Which expression is a perfect cube?
mc013-1.jp g
mc013-2.j pg
mc013-3.j pg
mc013-4.jp g
Answer:
B on edge
Step-by-step explanation:
Got its right on the test
(B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex]
Perfect Cube:Numbers that are the triple product of the same number are known as perfect cubes. In other words, the value produced by multiplying a whole number by three times itself is a perfect cube. A number that may be expressed as three times the product of another integer is referred to as a perfect cube.Expression -An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.Therefore, the correct option is (B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex].
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gordon types 1800 words in 25 minutes. word per minute
Answer:
72
Step-by-step explanation:
words per minutes= 1800÷25=72
5x-9y=17 solve for y
Answer: y=17-5x/-9
Step-by-step explanation: 5x-9y=17
-9y=17-5x
Y=17-5x/-9
You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.
Find the factors of function f, and use them to complete this statement.
f(x)= 2x^4 - x^3 -18x^2 + 9x
Answer:
-3, 0, 1/2, 3
The factors of function f is -3, 0, 1/2, 3
We have given that,
the factors of function f, and use them to complete this statement.
f(x)= 2x^4 - x^3 -18x^2 + 9x
What is the function?A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
We have to determine the factor of the given function
[tex]2x^4 - x^3 -18x^2 + 9x =0[/tex]
[tex]x(2x^3-x^2-18x+9)=0[/tex]
[tex]x=0 \ and \ 2x^3-x^2-18x+9=0[/tex]
[tex]2x^3-x^2-18x+9=0[/tex]
[tex]2x-1=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-3=0[/tex]
Therefore the factors [tex]2x^3-x^2-18x+9=0[/tex] are
[tex]x=\frac{1}{2},\:x=-3,\:x=3[/tex]
-3, 0, 1/2, 3
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How do I solve this please help me Im failing Algebra1
-2x+1<7
Answer:
x > -3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
-2x + 1 < 7
Step 2: Solve for x
Subtract 1 on both sides: -2x < 6Divide both sides by -2: x > -3Here we see that any value greater than -3 would work as a solution of x.
Answer:
x>-3
Step-by-step explanation:
First, isolate the variable. So, move the 1 onto the other side.
Because signs change when moved to the other side, + becomes - .
Then, subtracte. 7-1=6.
DIvide both sides by -2.
-2x/-2 is x, and 6/-2 is -3.
So, x>-3
Sandra worked 6 hours on Wednesday, 5 hours on Thursday, and 4 hours on Friday. What is the mean number of hours she worked over the three-day period? A 2 h B 3 h C 4 h D 5 h
Answer:
The mean should be D. 5
Step-by-step explanation:
The mean means the average which in this order (4, 5, 6) The direct middle is 5, making it the average since there are only 3 numbers in the first place.
You can mark out A (2) and B (3) instantly because they are lower than any of beginning numbers, and it's not C (4) as 'mean' doesn not mean the lowest, which leaves you with D (5)
May I have brainliest please? :)
Please help
D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.
A(1) = 1,000 + 20+
Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Step-by-step explanation:
a is the correct not sure though
Answer:Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Step-by-step explanation:
Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.
Answer:
y = 9x
Step-by-step explanation:
You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.
9 would be the slope, since he has to pay $9 per gift.
The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.
So, it's just y = 9x
Hope that helps! :D
Answer:
easy
Step-by-step explanation:
A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether?
Answer:
Step-by-step explanation:
2+3.25=5.25 or 5 1/4 cups of flour total
This one is too much for me hhh, please answer it when you have time! THANK YOU!!
Match the following rational expressions that corresponds the letter of the correct answer.
Answer:
1.C
2.K
3.E
4.G
5.I
6.A
7.H
8.B
9.L
10.D
Step-by-step explanation:
Can 4 24/35 be simplified? Please answer right away! Need an answer right away!
Answer:
no
Step-by-step explanation:
Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok
Answer:
4÷1/6=24
Step-by-step explanation:
what is 2 1/9 x 1 1/2
Answer:
3.16
Step-by-step explanation:
Hope this helps!
Marking brainless!!!
Answer:
A
Step-by-step explanation:
Grayson has 4 small photo albums and 6 large photo albums. Each small album can hold up
to 112 photographs. Each large album can hold up to 184 photographs. How many photos can
Grayson keep in the albums? Enter your answer in the box.
Answer:
1552 Photos
Step-by-step explanation:
I relabeled the albums as SP (Small album) and LA (Large album)
1 la holds 184
1 sp holds 112
112 • 4 = 448
184 • 6 = 1,104
448 + 1,104 = 1552