Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).
Answers
Step-by-step explanation:
as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.
(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²
(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3
(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4
Related Questions
plz help will mark as brainliest
Answers
Answer:
Side AB and side BC
Step-by-step explanation:
Hope it helps
I need help i will give brainly
A grain silo on a farm holds 500 pounds of grain. The equation shown represents the total amount of grain, y, remaining in the silo x minutes after the farmer begins to release the grain.
y=−5x+500
What does the -5 represent in the equation in reference to this situation?
Answers
Answer:
the negative 5 is showing that you are losing grain in the silo because you are letting some out.
In this problem, it shows how much rice is being lost which is why the number is negative
Forty percent of the 45 slices of cake were strawberry flavor. How many were not strawberry flavored?
Answers
Answer:
Step-by-step explanation:
I just need help with these 3
Answers
Answer:
1) 11c
2) 9m - 14
3) 4x - 5
-----
4) x = 4
5) x = 2
Step-by-step explanation:
1)
10c + c
11c
2)
5m + 2( 2m - 7 )
5m + 4m - 14
9m - 14
3)
6x - ( 2x + 5 )
6x - 2x - 5
4x - 5
-----
4)
3x + 7 = -5
3x = 12
x = 4
5)
18 = 4x + 10
8 = 4x
2 = x
Hopefully this helps!
Brainliest please?
Answer:
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
Answers
To find the parallel :
First of all, Parallel equations should have the same slope and a different y-intercept!
Take the equation of a linear function : y = mx + b, the slope here is m and the y intercept is b.
When we’re given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!
Practice
We already know our equation will be in the form y = mx + b
And we also know that the slope will be the same : m = 4/7
So y = 4/7x + b
Lets find b !
The line passes through the point (0,0) of origin :
0 = 4/7*0 + b
b = 0
So the y intercept is b = 0
And finally the equation will be :
y = 4/7x
Good Luck
Kross bought 3 cans of paint. The total was less than $60. How much was each can?
inequalities btw!!
Answers
Because we know they bought 3 can and the problem states it is LESS than $60.
Step-by-step explanation:
two equations if you want an inequality
y = -3x + 60
3x <= 60
graph it and you get x = 20 which is your answer
(b+3)(b+7) FOIL method
Answers
b^2+10b+21
Step-by-step explanation:
(b + 3)(b + 7) = ...
= b² + (3 + 7)b + (3•7)
= b² + 10b + 21
Name three integers between −12 and −7. And no bots allowed.
Answers
Answer:
-11 -10 -9
Step-by-step explanation:
I'm not 100% sure
Answer:
-10 , -9 , -8
Step-by-step explanation:
An Integer is a whole number, regardless of the sign (positive or negative).
In this case, the numbers between -12 and -7 are:
-11 , -10 , -9 , -8
So you can decide which 3 integers you want.
~
PLZZZZZ HELP ITS TIMED
Answers
Answer:
2. a.
3. g.
4. e.
I WILL GIVE BRAINLIEST PLSSSSSSSSSSS
The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
EXPRESSION :
ANSWER:
Answers
Answer:
L = 5/4 yards
L = 1 1/4 yards
L = 1.25 yards
Step-by-step explanation:
area = Length * Width
3/4 = L * 3/5
Divide both sides by 3/5
(3/4) / (3/5) = L
When dividing by a fraction flip it over and multiply
3/4 * 5/3 = L
The 3 cancels
5/4 = L
L = 5/4 yards
as a proper fraction
L = 1 1/4 yards
As a decimal
L = 1.25 yards
1. Beth is buying 3 pounds of chicken thighs for $1.29 per pound. How much will she pay?
How many servings will the thighs provide?
Answers
Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87
The chicken thighs cost $1.29 per pound purchased.
The cost of 3 pounds is:
= Cost per pound x Number of pounds
Solving would give:
= 1.29 x 3
= $3.87
In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.
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Can anyone help me please anyone please
Answers
Answer:
121
Step-by-step explanation:
Since the two lines are parallel, they will have the same angles, so all we need to do is find the angle that is next to 59°. Let's label this y °.
In other words, y °, the angle next to 59°, is equal to x°.
Since we are dealing with angles of a straight line, we know that the two angles of either line will add up to be 180°.
So, 59° + y ° = 180°
Isolate y by subtracting 59 from 180.
180 - 59 = 121
y ° = 121
So, x° = 121°
can somebody please help me
Answers
Answer:
The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].
Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.
Hence, the probability of drawing another pink ball after drawing the first pink ball would be:
[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]
which of the following is the slope of a line perpendicular to the line defined by y-2=3x
Answers
Step-by-step explanation:
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y=mx+
lb
Where
m
is the slope and
b
is the y-intercept value.
y
=
−
4
x
+
1
Therefore, the slope of the line represented by the equation in the problem is:
m
=
−
4
Let's call the slope of a perpendicular line:
m
p
The slope of a perpendicular line is:
m
p
=
−
1
m
Substituting gives:
mp=
[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]
Rafael has two coupons for a phone.
Coupon A:
Coupon B:
$8 rebate on a $57 phone
20% off of a $57 phone
Choose the coupor that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon A is $] less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $] less than the price with coupon A.
lol
Answers
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2
Answers
Answer: B
Solution: Because the line is a dotted line. so print (-3, -1) and (3, 3) , (0, 0) are not the solution, so , answer is (0, 5) choice B.
Answer:
C
Step-by-step explanation:
first way: (easier way)
Plot the points out, points in the blue region are solutions. points on the dotted line are not solutions since it is a dashed line.
(0,5 is in the blue region)
second way:
find the equation of the in-equality:
the line that divides solutions and non-solutions passes through 3,3 and -3,-1
y=mx+b
m=change in y/change in x = (-1-3)/(-3-3) = 2/3
y=2/3x+b
plug x=3, y=3 (from the point "3,3")
3=2/3*3+b
3=2+b
b=1
y=2/3x+1 is the solution of the line.
the in-equality is
y(?)2/3x+1
plug in -5,5, which is a solution (looking at the graph)
5>-7/3
so use >, and not <
y>2/3x+1 is the equation of the in-equality, now just plug the answer choices in to see that
x=0,y=5 is a solution
Does anybody like anime ??
Answers
Looking for help pleaseeee
Answers
Answer:
an = a(n-1) -4
Step-by-step explanation:
From the table we see that
a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...
Notice the numbers decrease by 4 so
a2 = a1 -4
a3 = a2 -4
a4 =a3 -4
a5= a4-4
generalized we will have
an = a n-1 -4
Write an equation with the given information in slope- intercept form.
m=-1/2; y intercept (0,4)
Answers
One spring day, Aisha noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 1° per hour. For the next 5 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Aisha's data.
Answers
Answer:
See attachment
Step-by-step explanation:
2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answers
Answer:
Step-by-step explanation:
Combining like terms occurs at this step:
3x - 6 + 6 = 3 + 6
Combining the - 6 + 6 =and 3 + 6 yields:
3x = 9
A trader has a mixture of 5c and 10c coins. He has 50 coins in all, with a total value of $4.20. How many of each coin does he have?
Answers
Answer:
16 5c coins
34 10c coins
Step-by-step explanation:
(I prefer to use whole numbers)
5x + 10y = 420
x+y=50
multiply the bottom problem by -5
5x +10y =420
-5x -5y = -250
combine the problems
5y = 170
divide by 5
y = 34
that means x = 16
34 10c coins
16 5c coins
-- Gage Millar, Algebra 1/2 tutor
The number of 5 cent coins are 16 and the number of 10 cent coins are 34.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, a trader has a mixture of 5 c and 10 c coins.
Let the the number of 5 c coins be x and the number of 10 c coins be y.
He has 50 coins in all, with a total value of $4.20.
So, x+y=50 ---------(I)
5x+10y=420 ---------(II)
Multiply equation (I) by 5, we get
5x+5y=250 ---------(III)
Subtract equation (III) from (II), that is
5x+10y-(5x+5y)=420-250
⇒ 5y=170
⇒ y=34
Substitute y=34 in equation (I), we get
x=16
Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.
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A rectangular field is four times as long as it is wide. If the perimeter of the field is 410 yards, what are the field's dimensions?
Answers
The length of the rectangular field is 164 yards and the width is 41 yards
From the question,
We are to determine the fields dimensions
From the given information
A rectangular field is four times as long as it is wide
That is
l = 4w -------- (1)
The perimeter of a rectangle is given by
P = 2(l + w)
Where
P is the perimeter
l is the length
and w is the width
From the given information
The perimeter of the field is 410 yards
∴ 2(l + w) = 410 ------ (2)
Substitute equation (1) into equation (2)
2(4w + w) = 410
2(5w) = 410
10w = 410
∴ w = 410 ÷ 10
w = 41 yards
Substitute the value of w into equation (1)
l = 4(41)
l = 164 yards
Hence, the length of the rectangular field is 164 yards and the width is 41 yards.
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What is the inequality shown?
Answers
How to find an area of a trapezium
Answers
Answer:
A = 87.5 sq cm
Step-by-step explanation:
A = 1/2·h·(sum of bases)
A = 1/2 · 7 · (10 + 15)
A = 3.5(25)
A = 87.5 sq cm
Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.
Questions: Underline the correct answer.
1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).
Answers
We want to see underline the correct part in each statement.
1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).So, Jean and Jericho are playing on a seesaw.
Jean is heavier than Jericho.
Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.
If we define:
W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.We must have:
W₁*d₁ = W₂*d₂
Then:
1) This situation illustrates (direct, inverse) variation.
d₁, the position of Jean, varies inversely with respect to Jean's weight.
2) The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
(by the equation above)
3) The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
By the given equation, we see that d₁ must be smaller than d₂.
And the last two are trivial:
4) When Jean moves farther from the center, Jericho tends to go (up,
down).
5) If Jericho moves closer to the center, Jean tends to go (up, down).
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volume of a cube with 7,5 cm
Answers
Answer:
421.88
Step-by-step explanation:
7.5^3=421.88
[tex]\{ x - ( \frac { x } { 5 } + 60 ) \} = \{ ( \frac { 4 } { 5 } ) x - 60 \}[/tex]
help plssssssss
Answers
If you are asking for the value of x, then x = not defined because dividing a value by 0 will always give you a non-defined answer. So, x can be equal to any number (there can be infinite values).
Next, if you want to prove that both the statements are true, then yes it's true because RHS = LHS = 0.
Check the 2 attachments for the steps.
______
RainbowSalt2222 ☔
Answer:
infinite number of solutions
Step-by-step explanation:
x - ([tex]\frac{x}{5}[/tex] + 60) = [tex]\frac{4}{5}[/tex] x - 60 ← distribute parenthesis on left by - 1
x - [tex]\frac{x}{5}[/tex] - 60 = [tex]\frac{4}{5}[/tex] x - 60 , collect like terms on left side
[tex]\frac{4}{5}[/tex] x - 60 = [tex]\frac{4}{5}[/tex] x - 60
Since expressions on both sides are equal then any value of x is a solution.
That is there is an infinite number of solutions
A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.
Then descends at a rate of 2 feet per minute for 7 minutes. How far above the ground is the
balloon now?
Answers
When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.
20 - 14 = 6 feet
This means that the balloon is now 6 feet above the ground.
I hope I've helped! :)
Forty percent of the beads in a bag of more than 10,000 beads are yellow. Suzy pulls out 10 beads, one at a time with replacement, and notes that eight of these beads are yellow. She says the next bead pulled out will not be yellow because a yellow bead has been pulled out too many times in a row.Is Suzy’s reasoning correct?
Answers
Answer:
No, it is true that the probability of pulling a yellow bead is 0.40, but Suzy should not expect that exactly 40% of such a small number of beads pulled will be yellow. A large city's transit department claims that only 10% of city buses run off schedule.
Answer:
D I believe
Step-by-step explanation: