suppose that the functions s and t are defined for all real numbers x as follows
s(x)=x+6
t(x)=2x^2
write the expressions for (s+t)(x) and (s*t)(x) and evaluate (s-t)(2)
Answer:
(s+t)(x) = s(x) + t(x)
(s*t)(x) = 2x³ + 4x²
Step-by-step explanation:
(s+t)(x) = s(x) + t(x)
= x + 2 + 2x²
= 2x² + x + 2
(s*t)(x) = s(x) * t(x)
= (x + 2) * 2x²
= 2x³ + 4x²
please give me brainliest if my answer is helpful
Suppose you have a bag that contains 2 black and 8 striped marbles. You select one marble, replace it, and then select another. Find the probability that you will select two black marbles in a row.
P(black & black) =
Answer:
2/10 (1/5)
Step-by-step explanation:
to do this, you know that the marble is put back, so you have an equal chance each time. then, find how many black marbles there are, and go from there.
Solve:
log2 (x + 5) = 3
Answer:
simplified is -2
Step-by-step explanation:
......
Answer:
First one is 2^5 = 3x+5
Second is x = 2
Third one is x^3 = 64
last one is x = 4
(points on a circle) PLEASE HELP THIS IS DUE TONIGHT
A circle is centered at C(0,0)C(0,0)C, left parenthesis, 0, comma, 0, right parenthesis. The point M(0,\sqrt{38})M(0,38 )M, left parenthesis, 0, comma, square root of, 38, end square root, right parenthesis is on the circle.
Where does the point N(-5,-3)N(−5,−3)N, left parenthesis, minus, 5, comma, minus, 3, right parenthesis lie?
Answer:
Inside the circle, a distance of [tex]\sqrt{34}[/tex] from the center of the circle.
Step-by-step explanation:
Center of circle is at (0,0)
One point of the circle is at (0,[tex]\sqrt{38}[/tex])
Since the only known point is in the y-axis, the radius of the circle must be [tex]\sqrt{38}[/tex].
[tex]\sqrt{38}[/tex] = 6.164
So the point (-5,-3) is still inside the circle as the distance from point (-5,-3) to the center of the circle is [tex]\sqrt{(5)^2+(-3)^2}[/tex] or [tex]\sqrt{34}[/tex] which is less than the radius of the circle.
Point N(-5, -3) lies inside the circle.
We have,
To determine the location of point N(-5, -3) in relation to the given circle centered at C(0, 0), we can calculate the distance between point C and point N.
- If the distance is equal to the radius of the circle, then N lies on the circle.
- If the distance is greater than the radius, N lies outside the circle.
- If it is smaller, N lies inside the circle.
Let's calculate the distance between C(0, 0) and N(-5, -3):
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(-5 - 0)² + (-3 - 0)²]
= √[25 + 9]
= √34
Since the distance (√34) is less than the radius of the circle, which is √38 (distance between C and M), we can conclude that the point N(-5, -3) lies inside the circle centered at C(0, 0).
Thus,
Point N(-5, -3) lies inside the circle.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ2
The complete question:
Given that a circle is centered at C(0, 0) and passes through the point M(0, √38), determine the location of the point N(-5, -3) in relation to the circle. Does point N lie inside, outside, or on the circle?
Can somebody tell me what's 43 divided by 1032 in long division? (Step by step) Or send a picture please
Answer:
24
Step-by-step explanat
Divide both the numerator and denominator by the GCD
1032 ÷ 43
43 ÷ 43
Reduced fraction:
24
1
Therefore, 1032/43 simplified to lowest terms is 24/1.
The ratio of the perimeter of a square A and square B is 4:3. The side of square B is 3 m less than the side
of square A. What is the length of the side of square A?
please answer
Answer:
x = 12
Step-by-step explanation:
x = length of side of square A
'x-3' represents length of side of square B
Perimeter of square A = 4x
Perimeter of square A = 4x - 12
we can set up the following proportion based on ratio of 4:3
4x / 4 = 4x - 12 / 3
cross-multiply:
4(3x) = 4(4x-12)
12x = 16x - 48
-4x = -48
x = 12
please help!!!!!!!!!
Answer:
64
Step-by-step explanation:
to be honest i just looked it up it thats what i do with my work and i always get it right so...
Need help with this assignment!
Answer:
x=3
Mark me if I helped you❤️
Helpp (please tell me if you can’t see the numbers so I can tell you them)
Answer:
-6 is the y coordinate
Step-by-step explanation:
a rectangle has an area of 25 in squared. itis dilated by a scale factor of 4. what is the area of the new image ?
I need help pleases thank you.
Answer:
C. x < -2.
good luck, i hope this helps :)
pleassee if you help i will mark you BRAINLIST
A store pays $85 for a table. The markup is 90%. What is the selling price?
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?
Answer:
1. $161.50
2. $68.04
Step-by-step explanation:
3y - 5x = 15 slope intercept form
Answer:
Y=3/5x-3
Step-by-step explanation:
Answer:
y=5/3x+5
Step-by-step explanation:
1)3y-5x=15
2)3y=15+5x
3)y=5+5/3x
4)y=5/3x+5
1) Write the equation out
2) Add 5x to both sides of the equation
3) Divide both sides of the equation by 3
4) Reorder the terms
Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.
Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.
Answer:
the answer is 80 cubic cm.
Step-by-step explanation:
it is simply height X width so 20 X 4= 80 meaning the answer is 80 cm
find the product (3x - 5) (3x + 5)
Answer:
9x ^2 − 25
Explanation:
( a + b ) ( a − b ) = a ^2 − ^b 2
substitute a with 3 x and b with 5:
( 3 x + 5 ) ( 3 x − 5 ) = ( 3 x ) 2 −5^ 2 = 9 x ^2 − 25
( 3 x + 5 )( 3 x − 5 ) = 9 x ^2 − 25
Answer:
9x² - 25
Step-by-step explanation:
(a - b)(a + b)= a² - b²
a = 3x ; b = 5
(3x - 5 )(3x + 5)= (3x)² - 5²
= 3²x² - 25
= 9x² - 25
Find the number that makes the ratio equivalent to 1:8.
7:__
Answer:
56
Step-by-step explanation:
1:8= 7:?
1*?=7
/1 /1
1*7=7
8*7=56
1:8 = 7:56
Answer:
7:56
Step-by-step explanation:
1:8
we need to turn the one into seven. Turn the ratio 1:8 into the fraction 1/8.
multiply by 7/7 to turn the one into seven and 8 into 56
7/56 can now be turned into ratio 7:56. You could omit the turning of the ratio into the fraction at the beginning, but I find it makes it simpler.
Which of the following statements about XY and XZ is true?
2
6
8
X(1, -1)
Y(8, -2)
4
Z(-5.-5)
00
do
10
12
14
Answer:
[tex]\boxed{\textsf{ The correct option is \textbf{Option (D)} .}}[/tex]
Step-by-step explanation:
For complete solution kindly refer to the attachment .
Related Information :-
• Midpoint formula :-
The midpoint formula for points (x1,y1) and (x2,y2) is ,
[tex]\boxed{\sf Midpoint =\bigg( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg) }[/tex]
• Section Formula :-
The coordinate of point dividing the line joining points (x1,y1) and (x2,y2) in ratio m:n is ,
[tex]\boxed{\sf Section\ Formula = \bigg(\dfrac{nx_1+mx_2}{m+n},\dfrac{ny_1+my_2}{m+n}\bigg)}[/tex]
When we are given a linear function, how is one way we can graph it
What does the symbol 7NS2 represents
Answer:
7. NS. A. 2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.
Step-by-step explanation:
have a nice day
Simplify numbers with units 1.
Answer:
1. 1 min : 2 min
2. 1 min : 4 min
3. 1 : 5
4. 1 : 2
5. 1 hr : 4 hrs
6. 7 p : 10 p
7. 5 : 2 : 3
8. 1 : 3
9. 3 : 5
Step-by-step explanation:
break it down to the lowest, which means to keep dividing it till it can't anymore.
hope that helps
PLEASE HELP! WILL ADD BRAINLIEST!!! SHOW YOUR WORK!!!!
Polly’s room is a rectangle. It has a width represented by the expression 4x – 2 and a length represented by the expression
2x – 5. If the room has a perimeter of 73 feet, find the area of Polly’s room.
Answer: 80
Step-by-step explanation: A=LxW.
4x-2=-8
2x-5=-10
-10x-8=80
10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value)
The area of the figure is
un?
Kayla bought 8 hot dogs and hamburgers for her and her friends. Hot dogs cost $1.50 and hamburgers cost $1.75. If she spent a total of $13.25, how many hot dogs did she buy?
Answer:
5 hamburgers and 3 hot dogs
Step-by-step explanation:
D = number of hot dogs
H = number of hamburgers
D + H = 8 then D = 8 - H
1.50D + 1.75H = 13.25
substitute for D
1.50(8-H) + 1.75H = 13.25
12-1.50H + 1.75H = 13.25
subtract 12 from each side
-1.50H + 1.75H = 1.25
0.25H = 1.25
divide both sides by 0.25
H = 5
D = 8-5
D = 3
A 1.5 m tall woman stands next to the Eiffel Tower. At this time of day, her shadow is 0.5 m long. At the same time, the tower's shadow is 90 m
long. How tall is the Eiffel Tower? Show your work.
solve 3x+ k= c for x.
The value of variable x in the equation is x = c - k / 3
How to make a variable subject of the formula?3x+ k = c
let's find x or make it the subject of the formula,
3x + k = c
subtract k from both sides of the equation
3x + k - k = c - k
3x = c - k
divide both sides by 3
3x / 3 = c - k / 3
Therefore,
x = c - k / 3
learn more on variables here: https://brainly.com/question/10730100
#SPJ1
Will give, Branliest.
Thanks,
:)
Answer:
250p-195
Step-by-step explanation:
did the quiz
Answer:
250p-195
~Sophia
Find the next three terms in each geometric sequence.
3. 400,200,100,50, .......
4. 4,-12,36,-108, ........
Answer:
3) 25, 12.5, 6.25
4) 324, -972, 2916
Step-by-step explanation:
I need some help with these problems
Answer:
calculate by yourself
Step-by-step explanation:
use sin theorem
1.
[tex] \frac{s}{ \sin(60) } = \frac{12}{ \sin(30) } [/tex]
2.
[tex] \frac{s}{ \sin(90) } = \frac{4}{ \sin(30) } [/tex]
3.
[tex] \frac{s}{ \sin(60) } = \frac{10}{ \sin(90) } [/tex]
Help!!!!!!!!!!!!!!!!!!
Answer:
y > 0
Step-by-step explanation:
In a class of 20 students, the number of boys was the number of girls. How many girls were in the class?
Answer:
10
Step-by-step explanation:
Because if the number of girls is the same as the boys you just devide 20 by 2 and get 10