The expression 3h? + 4 represents the total amount of grain, in pounds, that is harvested
on a farm h hours into each workday. If the harvesting rate continues to follow this
model, which inequality represents the time, in hours, when the total amount of grain
harvested will be at most 100 pounds?
Answer:
B. [tex] 3h^2 + 4 \le 100 [/tex]
Step-by-step explanation:
total amount of grain, in pounds, harvested = [tex] 3h^2 + 4 [/tex], where, h = hours.
If at most 100 pounds will be harvested, it means the what will be harvested in pounds after working for some h hours, would be 100 pounds or less than 100 pounds. The highest is 100 pounds. "At most 100 pounds" means "less than or equal to 100 pounds".
The inequality that represents the time in hours would be:
✅[tex] 3h^2 + 4 \le 100 [/tex]
f(3) = (x + 1)2 – 16
Number of x-intercepts?
Without graphing, find the slope of the line that goes through
1. (0,5) and (8,2).
2. (2,-1) and (6,1). 1/2
3. (-3,-2) and (-1,-5).
Answer:1/2,-3/2,-3/8
Step-by-step explanation:
The slope of the lines are -3/8, 1/2 and -7/2 respectively.
A linear equation is given by:
y = mx + b
Where y, x are variables, m is the slope of the line and b is the y intercept.
1) The slope (m) of the line that goes through (0,5) and (8,2). is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{2-5}{8-0}\\\\m=-\frac{3}{8}[/tex]
2) The slope (m) of the line that goes through (2, -1) and (6,1). is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-(-1)}{6-2}\\\\m=\frac{1}{2}[/tex]
3) The slope (m) of the line that goes through (-3, -2) and (-1, -5). is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-2}{-1-(-3)}\\\\m=-\frac{7}{2}[/tex]
The slope of the lines are -3/8, 1/2 and -7/2 respectively.
Find out more at: https://brainly.com/question/20799886
F (x) = 1/4 (x+3) + 2
Answer:
x=4y−11
Step-by-step explanation:
Franklin has a stick which is 3458 inches long. He wishes to cut it into two pieces so that one piece is 1646 inches longer than the other. What will be the length of the longer piece? (Estimate the solution to the nearest hundredths).
29.63 inches
32.27 inches
35.23 inches
37.87 inches
Answer:35.23 inches is answer welcome
Step-by-step explanation:
A dance studio charges all new members a $175application fee plus $20 per month. How much will Stacie pay for a 2 membership
What is the image of the point (4, - 7) after a rotation of 180° counterclockwiseabout the origin?
Answer:
(4,-7)
Step-by-step explanation:
Please help im in math right now and im about to leave to go to my next class
Answer:
rlkgj3ypihjepvwr'kg3tyhjl3jofj 'y4ujk
Step-by-step explanation:
epoijreohrj3oewmydwlmh5lu6jm;s,dky608jp
Answer: #3 is 156.86
Step-by-step explanation:
First you Multiply 136.40 by .15. It comes out to 20.46. Then add 136.40 and 20.46 together
i need help with this pleasee
Answer:
7.1×10^3kg
Step-by-step explanation:
15000-7900=7100
i undermost of my problems but i dont get this one. any help?
I am legit doing this in school but I don't know it lol
Answer:
y = 6x + 4
Step-by-step explanation:
(x₁ , y₁) = (-2 , -8) & (x₂ , y₂) = (2 , 16)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{16-[-8]}{2-[-2}\\\\=\frac{16+8}{2+2}\\\=\frac{24}{4}\\\\= 6[/tex]
m = 6
y - y₁ = m(x - x₁)
y - [-8] = 6(x -[2])
y + 8 = 6(x + 2)
y + 8 = 6x + 6*2
y + 8 = 6x + 12
y = 6x + 12 - 8
y = 6x + 4
Determine the slope and the y-intercept of the line
decrease 26 by the product of 3 and some number
PLSSS HELPPO :(((
Answer:
C
Step-by-step explanation:
3x - 26
hope it helps po
Which variable is the dependent variable and why?
number of gallons of gas 0,2,4,10,
number of miles driven
0,62,124,310
Answer:
number of miles driven
Step-by-step explanation:
the number of miles that a vehicle can go depends on the amount of gas the car has, the number of gallons of gas is the independent variable
A Rhombus is labeled ABCD if the slope of AD is 2/3 what is the slope of BC
Answer:2/3 i believe
Step-by-step explanation:
In a rhombus the parallel sides have the same slope so BC should have the same slope as AD.
Which set of ordered pairs represents a function?
A) {(-4,9), (-1,0), (0,9), (4,8), (5,5)}
B) {(-4,9).(-1,0), (0,9).(-4,8), (0,5)}
C){(-4,9), (-4.0). (5.9), (4,8), (5,5)}
D) {(-4,9),(-1,0), (0,9),(-1,8), (5,5)}
0.79 times 100 = ?????????/
Answer:
79.
Step-by-step explanation:
There are 2 zeros in 100 right ? So you move the decimal point to the right two times to get your answer 79.
Hope this helps :)
Tomas has $45.00 to purchase favors for a party. If the favors are $3.75 each, how many favors can Tomas buy?
favors
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
T-Shirts & More Print Shop will print any image on a hat for a cost of $2 per hat and a one-time charge of
$12 to set up the hat design. Which algebraic equation represents the cost, C, of printing f hats?
a. C=2f
b. C=12f+ 2
c. f=2C+12
d. C=2f+ 12
Answer:
it would be d
Step-by-step explanation:
I hope that helps
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 742 divided by 61?
700
61
6100
610
Answer:
The first number to subtract is 610
Step-by-step explanation:
In the division of 742 by 61, the first thing to do is to divide 742 by 61 straight and we get 10
So multiplying 10 by 61, we get 610
This is what we proceed to subtract from 742
So the first number to subtract is 610
Answer: 610
Step-by-step explanation:
Which ordered pair is a solution of the equation y=4x-9
(3,3) and (4,6)
Answer:
????
Step-by-step explanation:
in graph? is in a graph
Please help Please help
The distance between point C and point D is 10.
Point D is on the 1 and Point C is on -9.
1-(-9)=10.
If the graph of y = 72 + 6 is translated 4 units down, which equation describes the new graph?
y = 112 + 6
y=73 + 2
y = 72 +10
O
y = 3x + 6
\left. \begin{array} { l } { y = 112 + 6 }\\ { y = 73 + 2 }\\ { y = 72 + 10 }\\ { y = 3 x + 6 }\\ { \text{Solve for } z \text{ where} } \\ { z = 0 } \end{array} \right.
Answer:
B. y = 7x + 2Step-by-step explanation:
Given function
y = 7x + 6Translation down or up by m units = y + m
y - 4 is7x + 6 - 4 =7x + 2So it is
y = 7x + 2Correct option is B.
If a*b=(a-b)², calculate 2*5
I suppose * is supposed to denote a binary operation with the given definition,
a * b = (a - b)²
as opposed to multiplication, so that, for instance, 1 * 1 = (1 - 1)² = 0.
Using the definition of *, you have
2 * 5 = (2 - 5)² = (-3)² = 9
What is the solution for 5x-7 = 5x
#1. What is 15% of 60?
Answer:
9
Step-by-step explanation:
if I have 5 and a half gallons of water and each half gallon needs a pack of salt. how many salt packs do I need?
Answer:
11
Step-by-step explanation:
5 and a half gallons is 11 half gallons
since 1 half gallon needs 1 salt pckt
11 half gallons will need 11 packets
Answer:
11 salt packets
Step-by-step explanation:
For each half gallon you need one salt packet. So if you have 5 and a half gallons, you need 11 salt packets.
Being Human, Inc., recently issued new securities to finance a new TV show. The project cost $35 million, and the company paid $2.2 million in flotation costs. In addition, the equity issued had a flotation cost of 7 percent of the amount raised, whereas the debt issued had a flotation cost of 3 percent of the amount raised. If the company issued new securities in the same proportion as its target capital structure, what is the company's target debt-equity ratio
Answer:
0.3727
Step-by-step explanation:
From the given information
Total costs = Project cost + Flotation cost
Total costs = $35,000,000 + $2,200,000
Total costs = $37,200,000
Amount raised × (1 – fT) = Amount needed after flotation costs
$37,200,000 × (1 – fT) = $35,000,000
1 - fT = $35,000,000 / $37,200,000
1 - fT = 0.9409
fT = 1 - 0.9409
fT = 0.0591
wD + wE = 1
wD = 1 - wE
where;
wD = weight of debt
wE = weight of equity
WAFC = (wD × Debt's fT) + (wE × Equity's fT)
0.0591 = (wD × 0.03) + ( (1 - wD) × 0.07)
0.0591 = [wD × 0.03) + 0.07 - (wD × 0.07)
0.0591 - 0.07 = -(wD × 0.04)
-0.0109 = - (wD × 0.04)
wD = -0.0109 / -0.04
wD = 0.2715
wE = 1 - wD
wE = 1 - 0.2715
wE = 0.7285
The debt-equity ratio = wD / wE
The debt-equity ratio = 0.2715 / 0.7285
The debt-equity ratio = 0.3727
Find the inverse of f(x)=x/4-7
Answer:
[tex]fx^{-1} (x)=4x+28[/tex]
Step-by-step explanation:
Answer: y=4x+28
Step-by-step explanation:
3x (x+5)=0
zero factor product ( SHOW WORK)
Answer:
x=0 or x=−5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x^2+15x=0
Step 2: Factor left side of equation.
3x(x+5)=0
Step 3: Set factors equal to 0.
3x=0 or x+5=0
x=0 or x=−5