Answer:
Y= -2x+4
X= 1: -2(1) +4 = 2
X= 2: -2(2)+4= 0
X= 3: -2(3)+4= -2
Step-by-step explanation:
espero que esto ayude
f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range:
Answer:
Below in bold.
Step-by-step explanation:
f(x) = -x^2 + 10x - 17
Convert to vertex form by:
f(x) = -(x^2 - 10x) - 17
= - [(x - 5)^2 - 25] - 17
= -(x - 5)^2 + 25 - 17
= -(x - 5)^2 + 8,
a. So axis of symmetry is x = 5.
b. Vertex is (5, 8) Max.
c. Domain is All real x.
d. Range is (-∞, 8].
Simplify the expression.(1/3)4
Answer:
4/3 or 1 1/3
Step-by-step explanation:
Triangle ABC is a right triangle.
Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees.
What is the relationship between angles A and B?
They are congruent.
They are complementary.
They are supplementary.
There is no relationship between them.
Answer:
they are complementary angles and as thry both are the realeation between angle a and b
The relationship between angles A and B is that, they are complementary. option B
How to determine the relationshipFor angle ACB, the angle is at C = 90 degrees
For angle CBA, the angle is at B = 31 degrees
For angle BAC, the angle is at A = 59 degrees
Note that complementary angles are angles that sum up to 90 degrees
Angle at A = 31 degrees
Angle at B = 59 degrees
Sum of angles A and B = 31 + 59 = 90 degrees
Thus, the relationship between angles A and B is that, they are complementary. option B
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Four identical rectangles form the square. What is the perimeter of the square, if the perimeter of each rectangle is 40 inches?
Answer:
64
Step-by-step explanation:
so basically first I wanted to find the width, if you draw a model, it would be easy, so
I make 4 rectangles, one on top of the other for all of them.
so if you turn it clockwise 90 degrees, the rectangles are the same so if you draw them together then they over lap you can see that you can make a x:y for the lengths. If the width of the rectangle is 1 then the length of the rectangle is 4, 1:4 , so now we use the perimeter of 40 so now if the width is w and the length is l then wl is 20 (40/2) si niw 20/(1+4) which is 20/5 which is 4, so now we know that the width of the rectangle is 4 and the length is 4x4 which is 16 so now we can calculate the perimeter of the square, we know that the side length of the square is 16, so all we have to do is 16x4 which is 64.
Write down the formula for the nth number and calculate the 10th number and the 101th number of the following sequence: 74, 58, 42, ...
Answer:
nth number: 74+(n-1)*(-16)
Step-by-step explanation:
The straight line depreciation equation for
a motorcycle is y = -2.150x + 17,200.
(Express your answers as whole
numbers.)
a. What is the original price of the
motorcycle? $17,200.00
b. How much value does the motorcycle
lose per year?
c. How many years will it take for the
motorcycle to totally depreciate?
Given :
The straight line depreciation equation for a motorcycle is y = -2,150x + 17,200.
To Find :
a. What is the original price of the motorcycle? $17,200.00 ?
b. How much value does the motorcycle lose per year?
c. How many years will it take for the motorcycle to totally depreciate?
Solution :
y = -2,150x + 17,200.
Here, y is price and x is unit of time in years.
a)
We know, original price is given when x =0.
So, y = 0 + 17,200
y = $17,200.00
b)
Value motorcycle lose per year is coefficient of x i.e $-2,150.00
c)
Form total depreciate :
y = 0
0 = -2,150x + 17,200
x = 17,200÷2,150
x = 8 years.
Hence, this is the required solution.
PLEASE HELP ASAP ILL GIVE YOU BRAINLEST
Mira borrowed $1,200 from the bank to help pay rent. If the bank charged 6% interest over 9 months, how much did she pay the bank back all together?
Step-by-step explanation:1,200x 0.06 interest= 72.
She paid it over the course of 9 months, so 72x9= 648.
Mira pay $1,254 the bank back all together.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
Mira borrowed $1,200 from the bank to help pay rent.
And, The bank charged 6% interest over 9 months.
Now, We know that;
⇒ Simple interest = PRT / 100
Where, P is principle amount, R is rate and T is time.
So, We get;
⇒ Simple interest = PRT / 100
⇒ Simple interest = 1200 × 6 × 9/12 × 1/100
⇒ Simple interest = $54
Hence, The total amount to pay back to bank is,
⇒ Amount = Principle amount + Interest
⇒ Amount = $1,200 + $54
⇒ Amount = $1,254
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just need the answers for these 3 questions please, and how to do them (:
Answer:
a) 7
b)64
c)2
Step-by-step explanation:
look at images
Answer:
x = 2
Step-by-step explanation:
The topic here is "fractional exponents."
Review: 2^3 = 8 (this is the cube of 2), and so the inverse function is
8^(1/3) = 2 ("8 raised to the fractional exponent 1/3 is 2"
Question a) 49^(1/2) ("49 to the power 1/2") can be rewritten as
(7^2)^(1/2), which simplifies to 7^(2*1/2) = 7^1 = 7
Caution: this is exponentiation, not division. So 49^(1/2) does not equal 49/2.
Question b) ( )^(1/3) = 4
I would prefer to write this as x^(1/3) = 4 and set the goal of finding the value of the base, x.
Then x^(1/3) = 4 ("x raised to the power 1/3 is 4")
Let's elimiinate the fractional exponent on the left by cubing both sides of the equation:
{x^(1/3)}^3 = 4^3, or, after simplification,
x^1 = 64, or, in simplest form,
x = 64
Question c)
Notice that the base here is 1/100
and that the square root of 1 is 1 and that of 100 is 10.
Therefore, the given
{1/100} is equivalent to {1/10)^2
and so we have:
1 1
(------------)^(1/x) = ------- (we are to find x)
10^2 10
Note that 10 is the square root of 10^2, also the square root of 100.
So let's take the square root of 10^2. We get 10.
Therefore, try x = 2 and see whether the given equation is true:
1 1
{---------)^(1/2) = ------
100 10
The square root of 1 is just 1. The square root of 100 is 10.
Therefore the above equation becomes
1 1
----- = ----- and so x = 2 is correct.
10 10
What is the simple interest formula?
A.I=P-rt
B.I=Prt
C.I=P+r+t
What is 2+2 how do you know?
Answer:
is 4
Step-by-step explanation add
The rational numbers below are arranged in descending order. Select all of the numbers that could
come next.
4
3
93%, 0.7,
A.
1 x 10-2
B.
C.
65%
5
5
D.
E.
06
F.
2.3 x 102
2.
Answer:
f
Step-by-step explanation:
"If x = y, then x + 4 = y + 4" represents the
property of equality.
OA) substitution
B) subtraction
C) addition
D) transitive
Answer:
C
Step-by-step explanation:
Look in your old textbooks
which part of this graph shows a nonlinear relationship
Answer:
B
Step-by-step explanation:
part 4 of the graph is a curve not a straight line.
linear means straight line and non-linear means not a straight line
Answer:
It b Number 2
Step-by-step explanation:
Greatest common factor and disruptive property: rearrange 16 and 36 to look like this _______(_____+_____)
The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept?
PLEASE HELPPP
Answer:
y(0) = -39
Step-by-step explanation:
15 * 3 = 45
6- 45 = -39
can you help me on this problem
Answer:
21 com. 11 com. 15 com. 16 com. 29 prime. 13 prime.
Step-by-step explanation:
Answer:prime 29,11,13 composite 21,15,16
Step-by-step explanation:
The graph of a line passes through the two points (-2,1) and (2,1).
part 1
Graph the line through the two points (-2,1) and (2,1). Based on the graph of the line only, determine the slope and y-intercept of the line.
part 2
write the equation, in slope-intercept form, of the line that passes through the points (-2,1) and (2,1)
complete your work in the space provided or upload a file that can display math symbols if your work requires it. be sure to include all of the answers for part 1 and 2
Answer:
see below
Step-by-step explanation:
part 1
(-2,1) and (2,1)
Both points have the same y value
The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)
part 2
The equation of the line in slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 0x+1
y =1
Answer:
Answer:
see below
Step-by-step explanation:
part 1
(-2,1) and (2,1)
Both points have the same y value
The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)
part 2
The equation of the line in slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 0x+1
y =1
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Step-by-step explanation:
now you can add the answerer as brainliest.
Simplifiy 2x(x + 5)
Answer:
2x^2 + 10x
Step-by-step explanation:
Answer:
2x^2+10x
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3). y = 2 x minus 4 y = 2 x minus 3 y = 2 x + 3
Please help
lots of points and brainliest to best answer
Answer:
y = 2 x + 3Step-by-step explanation:
Given Line passing through points (-4, 0) and (0, 3)To find A line with same y-interceptSolutionFrom the points we can see the y-intercept of the line is 3 as it passes through point (0, 3)
Answer options
y = 2 x - 4y-intercept is -4 ≠ 3, incorrecty = 2 x - 3 y- intercept is -3 ≠ 3, incorrect y = 2 x + 3 y- intercept is 3 = 3, correctAnswer:
c
Step-by-step explanation:
Any help would be nice
Answer:
a=3
Step-by-step explanation:
if you are solving for a
Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer
Answer:
1. The system of equations is given as follows;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
Where;
S = The cost of a sofa
L = The cost of a love sea
C = The cost of a single chair
2. The cost of a love sea, L is $500
Step-by-step explanation:
1. The given information are;
The price of sofa and love sea = $1,300
The price of sofa and two chairs = $1,400
The price of sofa, love sea, and one chair = $1,600
Let the cost of a sofa = S
Let the cost of a love sea = L
Let the cost of a chair = C
Therefore, we have;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
2. From equation (1), we have;
L = $1,300 - S
Similarly, from equation (2),we have;
C = ($1,400 - S)/2
Substituting the values of L and C in equation (3), we have;
S + $1,300 - S + ($1,400 - S)/2 = $1,600
Which gives;
($1,400 - S)/2 = $1,600 - $1,300 = $300
$1,400 - S = 2 × $300 = $600
$1,400 = $600 + S
$600 + S = $1,400
S = $1,400 - $600 = $800
S = $800
The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;
L = $1,300 - $800 = $500
The cost of a love sea, L is $500 .
A room measures 12 feet by 12 feet. A couch is 10 feet and 6 inches long. If you center the couch in the middle of the room, how far will each end of the couch be from the nearest wall?
inches
Answer:
3/4 feet or 0.75 feet.
Step-by-step explanation:
12 feet - 10.5 feet is 1.5 feet.
1.5 / 2 is 0.75 of a feet.
3/4 feet
Hope this helps.
Let x be the number of books and y be the number of magazines you can buy. Which of the following represent(s) a possible solution to the equation 10x +4y = 40? Select all that apply.
(0, 10)
(3, 2.5)
(-2, 15)
(2, 5)
Step-by-step explanation:
so what you are going to do is subsitute all the x axis coordinates with the x in the equation they gave you and then do the same with the y for example A.
10(0)+4(10)=40
Answer:
(0, 10)Step-by-step explanation:
substitute the value of x,y given into the formula, that equates 40.
10x + 4y = 40
let x = 0, y = 10 ; 10(0) + 4(10) = 40 √
let x = 3, y = 2.5 ; 10(3) + 4(2.5) ≠ 40 x
let x = -2, y = 15 ; 10(-2) + 4(15) ≠ 40 x
let x = 2, y = 5 ; 10(2) + 4(5) ≠ 40 x
therefore, (0, 10) is the right answer
64,000 in
a fraction
Answer:
undefined
Step-by-step explanation:
Answer the riddle!
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
PS: DO NOT LOOK UP!
You are an echo, I believe. Right?
which actions are most likely to lead to the discovery of new info
Answer:
the answer is D :3
Step-by-step explanation:
you must use the dividen to answer the question
A community center with 700
members has 56 teenage members.
What percentage of the members are
teenagers?
F 56%
G 8%
H 5.6%
J 80%
Answer:
8%
Step-by-step explanation:
divide number of teenagers by total and the multiply by 100... this is very basic
Answer: 8
Step-by-step explanation:
A cup slides off a 1.1\,\text m1.1m1, point, 1, start text, m, end text high table with a speed of 1.3\,\dfrac{\text m}{\text s}1.3
s
m
1, point, 3, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction to the right. We can ignore air resistance.
What was the cup's horizontal displacement during the fall?
Answer:
0.616m
Step-by-step explanation:
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
Please provide working out.
Answer:
Is this from the VHAP
Step-by-step explanation:
Juan drove from his mother's house to his apartment at Arkansas Tech. After driving for 20 minutes, he was 62 miles away from his apartment. After driving for 32 minutes he was only 38 miles away. The time driving and the distance away from his apartment form a linear relationship. What is the independent and dependent variables
Given:
After driving for 20 minutes, Juan was 62 miles away from his apartment.
After driving for 32 minutes Juan was only 38 miles away.
The time driving and the distance away from his apartment form a linear relationship.
To find:
The independent and dependent variables.
Solution:
If the value of a variable depends on the another, then it is called dependent variables.
If the value of a variable does not depend on the another, then it is called independent variables.
In the given problem, the distance of Juan from his apartment depends on the time he drove. So,
Dependent variable = Distance of Juan from his apartment in miles.
Independent variable = Time he drove
