Given that g(x) = −2x+20, find g(−3).
Answer: 26
Step-by-step explanation:
Okay, so... The new equation would be -2(-3)+20...
So follow the rule of PEMDAS, PEMDAS is;
Parentheses
Exponents
Multiplication
Division
Adding
and Subtracting
Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.
-2(-3) = 6 because a negative multiplied by a negative is a positive..
Now we have 6 + 20 which is 26, so 26 is your answer.
1. Explain whether each following example is proportional or non-proportional.
(a)y=7x-3
(b)The graph is for b
(c) A gallon of milk costs $1.99. A half-gallon of milk costs $3.89.
(d)
x y
2 13
3 19.5
4 26
5 32.5
9514 1404 393
Answer:
(a), (b), (c) are non-proportional
(d) is proportional
Step-by-step explanation:
An equation or graph with a non-zero y-intercept is non-proportional. That is true for (a), (b), (c).
The table of (d) is proportional, with a constant of proportionality of 6.5.
__
Comment on (c)
In a proportional relation, price would go up with quantity, not down. If the prices both end in 9, one cannot be double the other, as would be required for the price of a gallon to be proportional to the price of a half-gallon.
Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.
Answer:
1 mile
Step-by-step explanation:
Step one:
given
total distance = 15miles
Jack walks at a pace of 1.5 miles per hour
after 4 hours he will cover a distance of
1.5*4= 6 miles
Jill walks at a pace of 2 miles per hour
after 4 hours he will cover a distance of
2*4= 8 miles
Step two:
The total distance jack and jill must have covered after 4 hours is
8+6= 14 miles
the distance apart will be 15-14= 1 mile
1) Johnny has $15 to spend on songs and podcasts. He wants to download at least 5 items. Songs cost $1.99 each and podcasts cost $0.75 each. Represent the scenario as a system of inequalities.
A. x+y≥5
1.99x+0.75y≤15
B. x+y≤5
1.99x+0.75y≥15
C. x+y≥15
1.99x+0.75y≤5
D. x+y≤15
1.99x+0.75y≥5
2) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x+9y=9
x−3y=−6
A. Multiply the second equation by -3.
B. Multiply the second equation by -4.
C. Multiply the second equation by 3
D. Multiply the second equation by -1.
3) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x−15y=−17
−x+5y=−13
A. Multiply the second equation by -4.
B. Multiply the second equation by 4.
C. Multiply the first equation by -4.
D. Multiply the first equation by -1.
Answer:
D then B then C
Step-by-step explanation:
sorry if wrong
Danielle's car wash took in $185 to help raise money for the drama club. Danielle needed to spend $32 for car wash supplies. How much profit did the car wash make?
Answer:
153 185-32 is 153 so there's your answer
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go charges a $2 monthly fee plus $4 per game. Given the same to stores Games-R-Us and Games2Go, how many games would you have to rent from each company to have your total cost be the same amount?
Answer:
4 games
Step-by-step explanation:
Let the number of games rented from both be represented by: g
For Games - R - Us
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental.
$10 + $2 × g
= 10 + 2g
For Games2Go
Games2Go charges a $2 monthly fee plus $4 per game.
$2 + $4 × g
= 2 + 4g
Hence,
Games-R-Us = Games2Go
10 + 2g = 2 + 4g
Collect like terms
10 - 2 = 4g - 2g
8 = 2g
g = 8/2
g = 4 games
Therefore, number of games you would have to rent from each company to have your total cost be the same amount is 4 games
Aye plz help. Im abt to die. Find the perimiter of the shape below.
Answer:
40
Step-by-step explanation:
Add all the sides together which is 40
Answer:35
Step-by-step explanation:
Find the area of the circle r=14 using 3.14 and round the answer t on the nearest hundredth
Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.
Answer:
-1.6
Step-by-step explanation:
4 + 10x = -12
10x = -12 -4
x= -1.6
Helppppp
Thank You!!!
Answer: B and C
Step-by-step explanation: To start off, you subtract 3 from both sides, to get 4<z/2, then multiply both sides by 2, you get z>8. Now it's greater than 8, so it can't equal 8, so the answers would be B and C, since they are both greater than 8, and you have to select multiple choices.
What is the value of z in the equation 4z-15=25
Answer:
z=10
Step-by-step explanation:
4z - 15 =25
4z - 15+15 =25+15
4z=40
z=10
suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?
A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)
Answer:
c or d
Step-by-step explanation:
Given the quadratic equation: f(x) = x2+4x-21
What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY
[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]
These are x-intercepts form. So the answer is (x+7)(x-3).
the sale price of a 26$ item are a 50% discount
Richardo had saved $80 from his summer job to buy video games. He
bought 4 games and the cashier gave him $16.40 in change. If each
game cost the same amount, how much was each game?
Leave off the dollar sign in your answer.
Answer:
$15.90
Step-by-step explanation:
80 - 16.40 = 63.60
63.60÷4 =15.9
15.9 = $15.90
Pleaseeeee help meeeee !!!!!!!!!!!!!!!!!!! Answer correctly please !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
8^2+√34^2
64+1156
1227
√1227
35.02
Use the distributive property to write an equivalent expression.
6(y-8z+7)
6(y−8z+7)
Answer:
6y - 48z + 42
Step-by-step explanation:
6 ( y - 8z + 7 )
= 6y - 48z + 42
What sum is represented by the arrow diagram?
Answer:
Would it be 1?
Step-by-step explanation:
I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..
Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answer:
Growth rate is -0.25
Growth factor is 0.75
Step-by-step explanation:
The general form of an exponential equation is;
y = a(1 + r)^x
Where a is the initial value
r is the growth rate
For x = 3; we have
168.75 = 400(1 + r)^3 •••• (i)
For x = 2, we have
225 = 400(1 + r)^2 •••••(ii)
Divide i by ii
That will be;
168.75/225 = 1 + r
1 + r = 0.75
r = 0.75-1
r = -0.25
The growth rate is -0.25
The growth factor is 1-0.25 = 0.75
PLEASE help. I will mark as brainliest
Answer:
C 35
Step-by-step explanation:
Brainliest
i need help with surface area
I need help solving this
Answer:
I think it's C.
Step-by-step explanation:
The Correct and Right Answer Is C
manuel has $15 to spend.on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchased and y represents the number of songs purchased, write a linear equation that represents the combination of apps and songs manuel can purchase.
Answer:
2x + y = 15
Step-by-step explanation:
Total amount with Manuel = $15
Cost of apps = $2
Cost of song = $1
x = number of apps purchased
y = number of songs purchased
Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel
2*x + 1*y = 15
2x + y = 15
The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15
I need help solve this problem
Answer:
i am not sure of my answer sorry can you make the question simpler maybe then I can answer it
Step-by-step explanation:
please help idk the answers i miissed the entire lesson
Answer:that might be a post it i’ve slope. but i’m not sure.
here’s something to help!
Step-by-step explanation:
HELPPP PLSSS lol help
Answer:
1)48
2)25
3)21
Step-by-step explanation:
Answer:
8:48
5:25
21:35
Step-by-step explanation:
for any ratio, it stays the same if you multiply left and right with the same number.
So let's take the last one:
3 : 5 should be equivalent to ? : 35
How did 5 get to be 35? It was multiplied by 7.
So we do that on the left side as well.
3×7 = 21.
Conclusion: 21:35 is equivalent to 3:5
Do all numbers have a prime factorization
Answer:
It depends on the numbers
Step-by-step explanation:
Give some examples
What is the radius of this circle?
A) 2.5 cm
B) 3.14 cm
C) 5 cm
D) 10 cm
WILL MARK BRANLIEST HURRYY
Answer:
The answer is C 5 cm.
Step-by-step explanation:
PLEASE HELP!!!
Problem #1
A groundskeeper needs grass seed to cover a circular field, 580 feet in diameter.
A store sells 100-pound bags of grass seed. One pound of grass seed covers about 800 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.
Step1: Find the area of the circular field.
Step2: Find how many square feet covers a 100-pound bag(1pound covers 800 sq. ft)
Step 3: Find how many bags are needed to cover the entire area found on step1?
Step 4: Make sure to tell the number of bags that you need to cover the entire area of the field.
(Is this question not too complex)
Ask the questions one-by-one.