Answer:
y = - 3x - 2
Step-by-step explanation:
The function is linear and can be expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1-4}{-1-(-2)}[/tex] = [tex]\frac{-3}{-1+2}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , then
y = - 3x + c
To find c substitute any ordered pair into the equation
using (0, - 2 ) , then
- 2 = - 3(0) + c = 0 + c ⇒ c = - 2
y = - 3x - 2 ← function rule
Answer:
y = - 3x - 2
Step-by-step explanation:
Noah and his grandfather were returning home from a walk. When they were 800 m away from the house, the grandfather said that he was thirsty. Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace. How many meters from the house did they meet if noah ran four times as fast as his grandfather walked.
PLEASE HELP!!!!! DUE IN 5 MIN!!!!!!!!! I GIVE BRAINLIEST AND POINTS!!!!
They met 480 meters from the house.
CalculusGiven that Noah and his grandfather were returning home from a walk, and when they were 800 m away from the house, the grandfather said that he was thirsty, so Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace, to determine how many meters from the house did they meet if noah ran four times as fast as his grandfather walked, the following calculation must be made:
200 x 4 = 800 - 200 = 600300 x 4 = 1200 - 800 - (800 - 300) = 100325 x 4 = 1300 - 800 - (800 - 325) = -25320 x 4 = 1280 - 800 - (800 - 320) = 480 - 480 = 0Therefore, they met 480 meters from the house.
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What is the answer I’ve been stuck on this for way too long
[tex]\text{Let's write it like}\\x+y=8\\+\:\:\:+\\z-x=6\\\downarrow\:\:\:\:\:\:\downarrow\\13\:\:\:\:8\\=>\\\displaystyle\\\left \{ {{x+z=13} \atop {z-x=6}} \right. \\\left \{ {{x+z=13} \atop {z=6+x}} \right. \\\downarrow\\x+x+6=16\\2x=7\\x=3,5=>z=9,5\\\text{Now we need to find y}\\3,5+y=8\\y=4,5\\\\\text{so we have}\\3,5+4,5=8\\+\:\:\:\:\:\:\:\:\:+\\9,5-3,5=6\\\downarrow\:\:\:\:\:\:\:\:\:\:\:\:\downarrow\\13\:\:\:\:\:\:\:\:\:\:8\\[/tex]
if the mean of m,n,s,p and q is 12. Calculate the mean of (m-4), (n-3 ),(s-6), (p-2) and (q-8).
Answer:
7.4
Step-by-step explanation:
1. according to the condition (m+n+s+p+q)/5=12, it means (m+n+s+p+q)=60;
2. the required mean can be calculated:
[(m-4)+(n-3)+(s-6)+(p-2)+(q-8)]/5=[(m+n+s+p+q)-23]/5=[60-23]/5=37/5=7.4.
Creating an Exponential Model
In this activity, you will formulate and solve an exponential equation that models a real-world situation.
Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year
of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the
terms of her credit card:
• It has a 15% annual interest rate.
• The interest is compounded monthly
• The card has $0 minimum payments for the first four years it is active.
The expression that models this situation is P(1 + r/n)^nt, where (1 + r/n) represents the growth factor of the interest rate.
Answer:
P = $300
r = 0.15
n = 12
$544.61 (to the nearest cent)
[tex]P(1+r)^t[/tex]
$524.70 (to the nearest cent)
Step-by-step explanation:
P = principal amount = $300
r = annual interest rate in decimal form = 15% = 15/100 = 0.15
n = number of times interest is compounded per unit t = 12
How much she'll owe in 4 years
P = 300
r = 0.15
n = 12
t = 4
[tex]P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}[/tex]
= $544.61 (to the nearest cent)
Yearly compounding interest rate
[tex]P(1+r)^t[/tex]
How much she'll owe in 4 years at yearly compounding interest
[tex]P(1+r)^t=300(1+0.15)^4[/tex]
= $524.70 (to the nearest cent)
PLEASE HELP DUE TODAY I'LL GIVE YOU 20 PTS AND POSSIBLY THE BRAINLIEST THING.
Which of the following demonstrates the Commutative Property of Multiplication?
5(2a − 3) = 10a − 15
10a − 15 = (2a − 3) ⋅ 5
5(2a − 3) = (2a − 3) ⋅ 5
(5 ⋅ 2a) − 3 = 5(2a − 3)
Answer:
C
Step-by-step explanation:
Because the Commutative Property means: Changing the order of factors does not change the product.
Therefore, the answer is C; 5(2a-3)=(2a-3)x5.
Hope this helps you!
Answer:
here you go so you mark that person the brainliest
Step-by-step explanation:
Ana bikes for 5.5 hours. She covers a distance of 57.75 mi. Assuming she bikes at a constant speed, how fast was Ana biking
somebody please help RN. thank you.
Answer: D
Step-by-step explanation:
To add credibility to your response
Impersonaters and scammers usually don't have things like phone numbers and personal links, they can increase your credibility
Answer the questions about the following polynomial.
-x+1/7
The expression represents a_______
polynomial with ____
terms. The constant
term is ______
the leading term is _____
and the leading coefficient is _____
Answer:
1) Linear
2) Two (2 Terms means it is a Binomial)
3) 1/7
4) -x
5) -1 (-x = -1x)
Jack has a bag full of marbles. In the bag, there are 5 green marbles, 4 red marbles, and 6 blue marbles. Jack takes one marble and then does not replace the marble in the bag.
What is the percent of grabbing a green marble then a red marble?
0.9%
9.0%
9.5%
9.8%
Answer:
9.0%
Step-by-step explanation:
I don't know exact answer
71x+85y=4904
Jaafar owns a total of 60 shares of stock, some in stock A and some in stock B. On a particular day, stock A closed at $71 per share and stock B closed at $85 per share. If Jaafar's stock for these companies was worth $4904, how many shares of each type of stock does he own?
Answer: 71x+85y=4904
A design is made using twice as many large beads as small beads.
The mass of each large bead is 120 milligrams.
The mass of each small bead is 80 milligrams.
The total mass of all the beads used is 32 grams.
How many beads are used in total to make the design?
Answer:
When the remainder theorem is applied to the total number of beads, the number of beads left is 3
Step-by-step explanation:
The number of beads used in each design are given as:
Calculate the total number of beads used for all three designs
The number of available beads is:
Divide 750 by 83, to get the total number of designs
Remove decimal (do not approximate)
The number of beads remaining is calculated using:
Hence, there are 3 beads remaining
Simultaneous linear equation
Solve the following equations:
a. 3x + 5y = 8 ,
4x – 3y = 1
b. 6p + 4q = 20,
5p – 2q = 6
Step-by-step explanation:
a) 3x + 5y = 8
4x - 3y = 1
• using the elimination method:
3x + 5y = 8 (×4)
4x -3y = 1 (×3)
12x + 20y = 32
12x -9y = 3
subract 12x from both equation:
20y - - 9y= 32 -3
20y +9y = 29
29y= 29
y= 29/29
y= 1
- substituting y= 1 in :
4x - 3y= 1
4x - 3(1) = 1
4x -3 = 1
4x = 1 + 3
x = 4/4
x= 1
b) 6p+ 4q = 20
5p - 2q = 6
• using the elimination method:
6p + 4q = 20
5p - 2q = 6 (×2)
6p + 4q = 20
10p - 4q = 12
add 4q + -4q to eliminate q.
6p+ 10p = 20+12
16p = 32
p = 32/ 16
p = 2
- subtituting p = 2 in :
5p - 2q = 6
5(2) -2q =6
10 -2q = 6
-2q = 6 - 10
q = -4 / -2
q = 2
hope this helps you,
-s.
Answer:
a. x = 1 / y = 1b. p = 2 / q = 2Step-by-step explanation:
a.3x + 5y = 8 ________( 1 )
4x - 3y = 1________ ( 2 )
( 1 ) × 3 ____ 9x + 15y = 24 _____ ( 3 )
( 2 ) × 5____ 20x - 15y = 5 _____ ( 4 )
( 3 ) + ( 4 )
[tex]9x + 15y + 20x - 15y = 24 + 5 \\ 9x + 20x + 15y - 15y = 29 \\ 29x = 29 \\ x = \frac{29}{29} \\ x = 1 \\ [/tex]
x = 1 substitute to ( 1 ) ,
[tex]3x + 5y = 8 \\ 3(1) + 5y = 8 \\ 3 + 5y = 8 \\ 5y = 8 - 3 \\ 5y = 5 \\ y = \frac{5}{5} \\ x = 1 \\ [/tex]
b.6p + 4q = 20_______ ( 1 )
5p – 2q = 6 _______ ( 2 )
( 2 ) × 2 ____ 10p - 4q = 12 _______ ( 3 )
( 1 ) + ( 3 )
[tex]6p + 4q + 10p - 4q = 20 + 12 \\ 6p + 10p + 4q - 4q = 32 \\ 16p = 32 \\ p = \frac{32}{16} \\ p = 2 \\ [/tex]
p = 2 substitute to ( 1 ) ,
[tex]6p + 4q = 20 \\ 6(2) + 4q = 20 \\ 12 + 4q = 20 \\ 4q = 20 - 12 \\ 4q = 8 \\ q = \frac{8}{4} \\ q = 2 \\ [/tex]
So grateful if you help
Answer:
Question 3
a) 7/6 = 1 1/6
b) 8/3 = 2 2/3
c) 7/2 = 3 1/2
d) 3/2 = 1 1/2
e) 17/6 = 2 5/6
f) 10/3 = 3 1/3
Question 4
a) 4 x 8 = 32
b) 27/8 = 3 3/8
c) (32-27)/8 = 5/8
Step-by-step explanation:
Question 3
a) 7/6 = 1 1/6
b) 8/3 = 2 2/3
c) 7/2 = 3 1/2
d) 3/2 = 1 1/2
e) 17/6 = 2 5/6
f) 10/3 = 3 1/3
Question 4
a) 4 x 8 = 32
b) 27/8 = 3 3/8
c) (32-27)/8 = 5/8
Part-a) 7/6:
=> 1/6 + 6/6=> 1/6 + 1 = 1 1/6Part-b) 8/3:
=> 2/3 + 3/3 + 3/3=> 2/3 + 1 + 1=> 2/3 + 2=> 2 2/3Part-c) 7/2:
=> 1/2 + 2/2 + 2/2 + 2/2=> 1/2 + 1 + 1 + 1 => 1/2 + 3=> 3 1/2Part-d) 3/2:
=> 1/2 + 2/2=> 1/2 + 1=> 1 1/2Part-e) 17/6:
=> 5/6 + 6/6 + 6/6=> 5/6 + 1 + 1=> 5/6 + 2=> 2 5/6Part-f) 10/3:
=> 1/3 + 3/3 + 3/3 + 3/3=> 1/3 + 1 + 1 + 1=> 1/3 + 3=> 3 1/3Solution (Question 4):Note that:
1 pizza = 8 slicesTotal pizzas ordered: 4 pizzasPart-a) How many slices of pizzas were there altogether?
Use the equation (1 pizza = 8 slices) to find out how many slices were there.
=> 1 pizza = 8 slices=> 4 pizzas = 8 x 4 slices=> 4 pizzas = 32 slices32 slices of pizza were in total.
Part-b) How many pizzas were eaten? Express your answer as a mixed number.
Divide 27 by 8 to find out how many pizzas were eaten.
27/8 = 3 3/8 pizza3 3/8 of pizza were eaten.
Part-c) How many pizzas were left over? Express your answer as a fraction.
Subtract the pizza eaten from the pizza ordered to find out how many pizzas were left.
4 - 3 3/8=> 4 - 27/8=> 32/8 - 27/8=> 5/85/8 of pizza were left over.
please explain how to get this answer!!
The surface area of a paper cup is defined by the function S(h) = 4π√(16 + h^2) where h is the height of the cup. What are domain and range of f(x)?
I already know the answer but I want to know the steps.
Answer:
No h-intercept/zero
Step-by-step explanation:
1- Substitute the s (h) = 0
2- Determine the defined range
3- the statement is false for any value of h
4- There is no h-intercept/zero
All the real numbers are the domain of the function. Then the range of the function will be [16π, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The equation that represents the surface area of the paper cup is given below.
S(h) = 4π√(16 + h²)
Where h is the height of the cup.
The graph of the equation is drawn below. Then all the real numbers are the domain of the function.
And the lowest point of the function will be given as,
S(0) = 4π√(16 + 0²)
S(0) = 4π√16
S(0) = 16π
Then the range of the function will be [16π, ∞).
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Can someone ASAP help me solve question four and five plzzzzzz ASAP
HELP Solve for x and y
Answer:
y=128
x=52
Step-by-step explanation:
Hope I helped.
Edward deposited $5,000 into a savings account 3 years ago. The simple interest rate is 4%. How
much money did Edward earn in interest?
Answer:
si = prt/100
so si = 5000x3x4/100
si = 50x3x4
which is 600
so he earned 600$ in interest
Scott tossed a wad of paper. It landed in
а
the trash can 3 times and missed 2 times.
Based on these results, how many times
would Scott expect the wad of paper to
land in the trash can if he throws it 60
times?
A. 20
B. 36
C. 40
D. 48
Answer:
36 times.
Step-by-step explanation:
3/5=0.6
2/5=0.4
60*0.6=36
Scott would expect the wad of paper to land in the trash can approximately 36 times out of 60 throws. So, correct option is B.
To calculate the expected number of times the wad of paper would land in the trash can if Scott throws it 60 times, we can use the concept of probability.
Based on the given results, the probability of the wad of paper landing in the trash can is 3 out of 5 times (3 times in the trash can out of a total of 5 throws).
To find the expected number of successful throws (i.e., landing in the trash can) out of 60 throws, we can set up a proportion:
(Probability of success) = (Number of successful throws) / (Total number of throws)
3/5 = x/60
Now, cross-multiply and solve for 'x':
5x = 3 * 60
5x = 180
x = 180 / 5
x = 36
The correct answer is B. 36
This calculation is based on the assumption that the probability remains the same for each throw, which is the case for independent events like tossing a wad of paper.
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Factorise the following question 27m^2-48m
Answer:
[tex]3m ( 9m - 16 )[/tex]
Step-by-step explanation:
- both numbers are divisible by 3m therefore
[tex]3m ( 9m - 16 )[/tex]
What is BD?
A. 10
B. 8
C. 4[tex]\sqrt{x}[/tex]5
D. 2[tex]\sqrt{x}[/tex]5
Answer:
B. 8
Step-by-step explanation:
Triangles ADB, ABC and BDC are similar.
Therefore, we can use ratios to find BD.
Using the ratio of the long leg to the short leg of ΔBDC and ΔADB:
[tex]\dfrac{BD}{16}=\dfrac{4}{BD}[/tex]
Cross multiply and solve for BD:
[tex]\implies BD^2=4 \times 16[/tex]
[tex]\implies BD^2=64[/tex]
[tex]\implies BD=\sqrt{64}[/tex]
[tex]\implies BD=8[/tex]
find the value of y and z
Answer:
y = 68
z = 138
Step-by-step explanation:
Use triangle ACD.
m<A m<C + m<ADC = 180
y + 70 + 42 = 180
y + 112 = 180
y = 68
Use parallel lines BF and CE.
m<ADC + m<BGD = 180
42 + z = 180
z = 138
Michaela buys 2 cartons of eggs at $1.58 a carton, 4 1/5 pounds of ground turkey at $6.99 a pound, and a jar of strawberry jam for $4.38. She gives the cashier four $10 bills. How much change will Michaela receive?
Answer:
$1.00
Step-by-step explanation:
Eggs
1.58 * 2 = $3.16
Turkey
4.5 * 6.99 = $31.46
All items
31.46 + 3.16 + 4.38 = $39
Change
40 - 39 = $1.00
The table shows the number of students in a school who like rap and/or hip-hop: Like Rap Do Not Like Rap Total Like Hip-Hop 35 8 43 Do Not Like Hip-Hop 10 21 31 Total 45 29 74 What is the relative frequency, by row, of students who do not like rap or hip-hop? 0. 17 0. 68 0. 72 0. 81.
Answer:
35 like rap 25 dont like rap
Step-by-step explanation:
what is the area of the triangle
Answer:
36
Step-by-step explanation:
There are several ways to find area of triangle from vertex coordinates, the easiest is: (x₁*(y₂-y₃) + x₂*(y₃-y₁) + x₃*(y₁-y₂)) / 2
Area = ((-1)*(-6 - -6) + (-6)*(-6 - 2) + (3)*(2 - -6)) / 2
= (0 + 48 + 24) / 2
= 72/2
= 36
.25 x .7 ] pleaseeeee i needddddd helppppppp!!!! NOWWWWW!!!!
Answer:
ANSWER-0.175
Step-by-step explanation:
A solid has volume 7 cubic units. The equation k=3v/7 represents the scale factor of k by which the solid must be dilated to obtain an image with volume V cubic units. Select all points which are on the graph representing this equation.
Answer:
I think answer's G. I'm really sorry if it's wrong. You rock!
Step-by-step explanation:
Hope this helps
What is the area of this trapezoid?
Answer:
Area of trapezoid = 19.84 in^2
Step-by-step explanation:
Area of trapezoid = (b1+b2)/2 * Height
to find the height we have to use the Pythagorean formula for the left triangle
[tex]X^2 + Y^2 = Hypotenuse^2[/tex]
we sub the values in the formula
[tex]3^2 = Y^2 + 4^2[/tex]
Y = [tex]\sqrt{7}[/tex] which the height of the triangle
now we sub the values in the trapezoid formula
Area of trapezoid = (5+10)/2 * sqrt{7}
Area of trapezoid = 19.84 in^2
Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.
If a skateboarder skates down a ramp for 3 seconds,and his initial velocity was 0.8 m/s and his final velocity was 7 m/s.Then what was his acceleration.
Newtons First Equation of motion can be applied and plugin in the given data the acceleration was found to be 2.03 m/s^2
Velocity, Acceleration and Time
Given Data
Time t= 3 seconds
Initial Velocity u = 0.8 m/s
Final Velocity v = 7 m/s
Acceleration a = ??
Applying the Newton's First equation of motion
v = u+at--------------1
Substituting our given Data
7 = 0.8+a*3
solving for acceleration a
7-0.9 = 3a
6.1 = 3a
divide both sides by 3 we have
a = 6.1/3
a = 2.03 m/s^2
Answer a = 2.03 m/s^2
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whats the answer for this one???? urgently need correct answers
Answer:
Refer to the attachment