Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?
Simplify
4^33 8^37
—————-
4^15 8^21
A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16
Answer:
A
Step-by-step explanation:
2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?
Answer:
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
Step-by-step explanation:
W = -275(2t-7), where t is hours since pumping starts. Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). In this case we'll use W and t instead of x and y.
W = -275(2t-7)
W = -550t + 1925
The 1925 figure represents the water volume when t = 0, the initial volume. The slope of -550 is the rate at which water is being pumped out. 550 gallons/hr.
We can solve the equation for the hours required to make w=0:
W = -550t + 1925
0 = -550t + 1925
550t = 1925
t = 3.5 hours
-
We can solve for when W = 1,000:
W = -550t + 1925
1000 = -550t + 1925
-925 = -550t
t = 1.682 hours
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
We can also graph the function. attached.
ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.
Answer:
95
Step-by-step explanation:
Hope this helps :)
Merry Christmas. Have fun.
The size of ∠CDE labelled d° = 95° Given,
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given,
In triangle DAF
∠DAF = 25°
∠DFA = 40°
Sum of all interior angles is 180°
∠DAF + ∠DFA + ∠ADF = 180°
25° + 40° + ∠ADF = 180°
65° + ∠ADF = 180°
∠ADF = 180° - 65°
∠ADF = 115°
Triangle DFE is equilateral
∠FDE = 60°
ABCD is an square
∠CDA = 90°
Now,
∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°
90° + 115° + 60° + d° = 360°
d° = 360° - 265°
d° = 95°
Hence, 95° is the size of ∠CDE labelled d°.
Learn more about angle here:
https://brainly.com/question/28451077
#SPJ2
Which is the sum of two or more different monomials?
Answer: Polynomial
Step-by-step explanation:
could someone help me find the stuff?
Answer: i cant really see the homework
Step-by-step explanation:
What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2?
x^2 + 6xy + 8y2
4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
Combine like terms:
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)
= -x^2 + 6xy + 8y^2
help ASAP please PLS
Answer:
-103
Step-by-step explanation:
Just subtract
Answer:
-103
Step-by-step explanation:
You add all the numbers then put the negative sign.
I need this answer
ASAP!
Remainder of 52,259 divided by 215
Answer:
14
Step-by-step explanation:
52,259 divided by 215 is 243.065116279
so we know that the nearest whole number is 243.
243x215 is 52,245
subtract 52,245 from 52,259 which gives you the remainder of 14
Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0
Answer:
Different ways to answer this question
Step-by-step explanation:
You can do a ratio of 1:4 apples and 1:5 oranges
what are the different types of geometric constraints that are applied to sketches, and what are their functions?
Can someone help me with these equation
Answer:
6
Step-by-step explanation:
i think this is correct answer
To make 8 dozen cookies, you must use 2 eggs. How many eggs are needed to make 40 dozen cookies? Use a proportion to solve.
Answer:
10 eggs for 40 dozens
Step-by-step explanation:
40÷8=5
5*2=10
Our created proportion is 8:2::40:x
=> 8x = 80=> x = 10Conclusion:Therefore, for 40 dozen cookies, 10 eggs are required.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A machine prints 8 banners in 120 seconds. How many seconds does it take to print one banner?
Answer:
15 seconds
Step-by-step explanation:
Number of seconds taken to print 8 banners = 120 seconds
Number of seconds taken to print 1 banner will be x seconds
Banners Seconds
8 120
1 x
By cross multiplication, we get
=> 120*1/8 = x seconds
=> 120/8 = 15 seconds
It takes 15 seconds to print one banner.
Hope you got it!!
A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-
Answer:
The posted photo says the slope is -(3/4). I'll use that, instead of -2 as written in the question.
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
With a slope of -(3/4), we can write: y = -(3/4)x + b.
To find b, use the given point (4,-6):
y = -(3/4)x + b
-6 = -(3/4)(4) + b for (4,-6)
-6 = -3 + b
b = -3
The line is y = -(3/4)x - 3
The first option.
You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.
Express the perimeter of the following
rectangle in terms of n.
3n-7
n + 5
1. O 4n - 2
2. O 8n - 14
3. O 8n - 4
4. O 6n - 14
Answer:
8n - 4.Step-by-step explanation:
Perimeter: 2B + 2L=> 2(3n - 7) + 2(n + 5)=> 6n - 14 + 2n + 10=> 8n - 4Conclusion:
Therefore, the perimeter in terms of n is 8n - 4.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
its A
Step-by-step explanation:
please help me with this problem
Answer:
v=32
Step-by-step explanation:
23-15=8x4=32
32/4+15=23
2(x + 3) = x-4
What does X equal !!!
Answer x =-10
Step-by-step explanation:
:)
X=-2y,x-y=9 solve by substitution SHOW ALL WORK
Answer:
x = 6, y = -3
Step-by-step explanation:
x = -2y
x-y = 9
Substitute x = -2y into the equation.
;(-2y)-y = 9
-3y = 9
y = 9/-3
y = -3
Substitute y = -3 into the equation.
x = -2y
x = -2(-3)
x = 6
HELPPP PLZZ AND THANK YOU <3
Answer:
Step-by-step explanation:
Does anyone get this question?
Answer:
a= 121°
b=62°
c=59°
Step-by-step explanation:
I first found b because they are vertical angles
Because I know the measure of angle b I take 180 (total sum of a triangle) and subtracted 62 from 180 which gave me 59 and because both base angles are equal to each other I divided 118 by 2 which gave me 59. Giving me the measure of angle c.
By adding angles b and c they would give me the measure of angle a.
__________________________________________________________Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Mrs. Crandall spent $42 on window shades that were on sale for a certain percent discount. The original price of the shades was $70. What percent was the discount?
What is the solution to the equation? −12x=−3 Enter your answer as a simplified fraction in the box. x =
Answer:
1/4
Step-by-step explanation:
This is because you want to get x alone, so if you divide -12 on one side you have to do it on the other side, so you get -3/-12 which can be divided by -3 to be simplified to 1/4. Hope this helps!
Answer:
1/4Step-by-step explanation:
-12x = -3
x = 12 : -3
x = 1/4
--------------------
check
-12 * 1/4 = -3
-3 = -3
the answer is good
A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10
4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in
14 hours? What is the rate of speed of the jet?
3150 miles in 14 hrs
225 mph
hope this helps!
the area of a triangle is 162 square meters. the height is 18 meters. what is the base
Answer:
Triangle Area = (1/2) * base * height
base = 2 * Area / height
base = (2 * 162) / 18
base = 324 / 18
base = 18 meters
Step-by-step explanation:
create an equivalent ratio to 20:24 by dividing both sides by 4
Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
Some please help me I’ll give you brainlist answer
Answer:
Step-by-step explanation:
The area of the square is 3 units by 3 units. because the area of a square is side length squared.
side length = 3
side length^2 = 3 * 3 = 9
The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.
Answer:
The area of the square is 9 aka [tex]3^{2}[/tex]
You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9
It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.
Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.
The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;https://brainly.com/question/17671517
Answer:
-2, 5, 10, 21
A, B, D, E
Determine the unit rate. Use mental math when you can. 6 golf balls for $15
Answer:
1 golf ball : $2.50
Step-by-step explanation:
You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50