Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
A club will create t-shirts for a fundraiser. The club members need to compare the cost of creating the t-shirts between
two companies. Company A charges $30 for setup, plus $5 per t-shirt. Company B charges $15 for setup, plus $7 per
t-shirt. The situation is shown on the graph below. Which option best interprets the results from the graph?
A) For orders less than or equal to 7 shirts,
the cost of using Company A is less.
B) For orders less than or equal to 8 shirts,
the cost of using Company A is less.
C) For orders less than or equal to 7 shirts,
the cost of using Company B is less.
D) For orders less than or equal to 8 shirts,
the cost of using Company B is less.
Problem
Choose the inequality that represents the following graph. 32 points
Answer:
D
Step-by-step explanation:
cause its going bigger, but it also has 0 in the line so it could have 0 in it. So its D
Is the function f(x)=
–
2
7
+
1
8x
linear or nonlinear?
Answer:
as long as the equation has no exponents or square roots it is linear
Step-by-step explanation:
2x + 3 = x -4
what is the answer
Answer:
Step 1: Subtract x from both sides.
2x+3−x=x−4−x
x+3=−4
Step 2: Subtract 3 from both sides.
x+3−3=−4−3
x=−7
Answer:
x=−7
Gino and Milla each open a savings account with an initial deposit of $6,300. Gino's account pays 2% simple interest annually. Milla's account pays 3% simple interest annually. If Gino and Milla make no other deposits or withdrawals, how much more interest will Milla's account earn than Gino's after 1 year?
Answer:
Milla's account would earn $63 more that Gino's account after 1 year.
Step-by-step explanation:
Both Gino and Milla made an initial deposit of $6300.
Principal = $6300
Gino's rate = 2% = 0.02
Milla's rate = 3% = 0.03
number of years = 1
Interest = Principal x Rate x Time
So that,
for Gino;
Interest = 6300 x 0.02 x 1
= 126
The interest on Gino's savings after a year is $126.
for Milla;
Interest = 6300 x 0.03 x 1
= 189
The interest on Milla's savings after a year is $189.
Milla's interest - Gino's interest = 189 - 126
= 63
Milla's account would earn $63 more that Gino's account after 1 year.
V - 4/5 equals 4 1/4 what does v equal
(x-4)^2+12(x-4)+20=0
Answer:
x=2 or x=−6
Step-by-step explanation:
7 chocolate bars cost 19 dollars determine the cost per chocolate bar.
Answer: .368
Step-by-step explanation:
Answer:
$2.71
Step-by-step explanation:
to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars
19/7
= 2.714
≈ $2.71
will make you BRAINLIEST please help me please
Answer:
You have to substitute the x-values into the function :
[tex]f(x) = {11}^{x} [/tex]
[tex]f( - 2) = {11}^{ - 2} = \frac{1}{121} [/tex]
[tex]f( - 1) = {11}^{ - 1} = \frac{1}{11} [/tex]
[tex]f(0) = {11}^{0} = 1[/tex]
[tex]f(1) = {11}^{1} = 11[/tex]
[tex]f(2) = {11}^{2} = 121[/tex]
Identify if the triangle is scalene, isosceles or equilateral.
Answer:
Scalene – none of the sides of the triangle have equal lengths
Isosceles – two sides of the triangle have the same length
Equilateral – all sides of the triangle have the same length
1. Equilateral
2. Scalene
3. Isosceles
4. Isosceles
5. Isosceles
6. Isosceles
7. Isosceles
8. Equilateral
Hope this helps! :)
A teacher’s monthly gross pay is $5,321. The federal government withholds 15% of the teacher’s monthly gross pay for income taxes. How much does the teacher pay in income tax every month?
Answer:
798.15
Step-by-step explanation:
heres a neat trick you can do instead of doing that long process to get 15% of 5321 just use a calculator and do 5321 x .15
for a coordinate proof concerning an isosceles triangle, which coordinates might be easiest to use?
Answer:
(0,0) , (a,b) , (2a,2b) is the answer
Step-by-step explanation:
for a triangle to be isosceles, then two sides must be equal
To picture this, if we have a point at the origin, with coordinate (0,0); we can have the coordinates of the other points being the same so as to make the distance from the origin the same
Then from here, we can get that the length of the two sides are equal
From what we have, option 4 can be correct
This is because , finding the distance between two points is;
D = √(x2-x1)^2 + (y2-y1)^2
From what we have
The distance between (0,0) and (a,b) will give same answer for the distance between (a,b) and (2a,2b)
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
Triangle RST is an equilateral triangle.
Step-by-step explanation:
All three sides of the triangle are of equal length, therefore, because an isosceles triangle is when 2 sides of the triangle are the same length, a scalene triangle being when all sides are of different lengths, and a right triangle having a right angle (a 90 degree angle), this only leaves equilateral, all three sides being the same length, like in the triangle shown.
I need help to understand before my test today
Answer:
75 degrees
Step-by-step explanation:
All the angles within a triangle added together equals 180 degrees, so:
x + 25 + 2x - 5 + x = 180
add like terms
4x + 20 = 180
subtract 20 from both sides
4x = 160
divide by 4
x = 40
Now input 4 into the equation for C
2(40) - 5 = 80 - 5 = 75
I Need Hellp! With this!!
Answer:
1/14
Step-by-step explanation:
slope = difference of y over difference of x
= (-3-(-4)) /(8 -(-6)) = 1/14
How could you find the product 19. 14 in your head?
I need the answer ASAP
Answer:
like this do 4x9 4x1 then move down and add a zero then do 1x9 1x1 and then add 76 +190 and get 266 all in your head.
Step-by-step explanation:
19
x 14
_______
76
+ 190
______
266
help plzzzzz what is it????
Answer:
Pretty sure its C becuase there is no “people” on the graph.
Answer:x is 8 y is 4
Step-by-step explanation:
If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST
Answer:
-160
Step-by-step explanation:
All you have to do is substitute -2 for all values of x!
Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?
If so, the equation is:
[tex]f(-2)=2(-2-3)(-2)^4[/tex]
2(-5)(16)
-10(16)
-160
Please answer 1 - 3! thank you!
Answer:
The first one is
5x * 10
(x is the variable) TIMES 10
Step-by-step explanation:
Estimate and then solve 8,784 ÷ 61 = ___. answers: 133 134 143 144 I WILL MARK U BRAINLEIST IF ITS RIGHT
Answer:
The answer is 144
Step-by-step explanation:
Answer:
Ummm...
8,784/61=
144, D ??Help me with this plz
Answer:
0.000032, 0.0000064
Step-by-step explanation:
Each is divided by 5
0.00032 and 0.00064
Step-by-step explanation:Think, each is divided by 5!
0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.
Posted By:
ehie, BenjiDev#3339
please Solve for x.
Answer:
A: x = 20
Step-by-step explanation:
Answer: Its x=40
Step-by-step explanation: multiply 20 by 50 then divide the answer by x i got a 100 so yeee
Will give crown help
Answer:-8,-2,4,10
Step-by-step explanation:
BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?
Answer:
i would go for a but im not really sure. sorry if incorrect
Step-by-step explanation:
-2+(-0.7)+(-3)+(-0.1)
Answer:
-5.8
Step-by-step explanation:
-2-.7-3-.1= -5.8
Answer: -5.8
Glad I could help!
pls help this is due soon
Answer:
1/2^4
Step-by-step explanation:
A coach gives her players the option of running around feel twice or around the entire stadium once the following diagram shows the field in stadium dimensions on a corner grid which runs longer how much longer. Ill give brainliest and such this is also worth some good points
Answer:
Distance around the stadium is 75.16 monger than the field
Step-by-step explanation:
From the graph attached,
Coordinates of A → (-10, 60)
Coordinates of B → (60, -10)
Coordinates of C → (10, -60)
Coordinates of D → (-60, 10)
Perimeter of field = AB + BC + CD + DA
Since field is in the shape of a rectangle,
AB = CD and BC = DA
Therefore, perimeter of the rectangle = 2(AB + BC)
Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(60+10)^2+(-10-60)^2}[/tex]
= [tex]\sqrt{2(70)^{2} }[/tex]
= [tex]70\sqrt{2}[/tex] m
Length of BC = [tex]\sqrt{(60-10)^2+(-10+60)^2}[/tex]
= [tex]50\sqrt{2}[/tex] m
Perimeter of ABCD = 2(70√2 + 50√2)
= 240√2 m
= 339.41 m
Perimeter of stadium = 2πr [Here, r = radius of the circle]
= 2π(120)
= 753.98 m
To run around the field twice, distance covered by the players = 2(339.41)
= 678.82 m
Difference in the distance covered to run around the stadium and the rectangular field = 753.98 - 678.82
= 75.16 m
Answer:
The distance around the stadium is longer than about 75
Step-by-step explanation:
Camilla baked 15 cookies with 3 scoops of flour. How many scoops of flour does Camilla need in order to bake 20 cookies? Solve using unit rates.
Answer:
camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies
6th grade math i mark as brainliest
Answer:
Step-by-step explanation:
y÷2+x
2÷2+1
1+1
2
Answer:
2
Step-by-step explanation:
If you insert what y and x are, the equation would be 2 divided by 2 plus 1.
2 divided by 2 is 1 then add one to get 2.
What does the statement T(20) = T(c) mean?