Answer:
a = 1, b = - 3
Step-by-step explanation:
Expand the factors on the left side, then compare the coefficients of like terms on both sides.
left side
(ax + 4)(2x + b) ← expand using FOIL
= 2ax² + abx +8x + 4b
= 2ax² + x(ab + 8) + 4b
Compare coefficients of like terms with those on right side.
coefficients of x² terms
2a = 2 ( divide both sides by 2 )
a = 1
comparing constant terms
4b = - 12 ( divide both sides by 4 )
b = - 3
PLEASE HELP......rotate this image 90° counterclockwise and write the new coordinates for V’
Answer:
(1, 4)
Step-by-step explanation:
For people who are wanting to answer this question, just rotate this image three times to get the 90 degree counterclockwise image of the triangle : )
what is p^m ÷ by p^n equal to?
Answer:
hbbbbb
Step-by-step explanation:cvv cv
How many real solutions does the function shown on the graph have?
A. no real solutions
B. one real solution
C. two real solutions
D. cannot be determined
Answer:
no real equations
Step-by-step explanation:
the line isnt touching the x intercept line meaning there wouldn't be any equations to begin with
Determine the type of triangle that is drawn below. PLZZ ASAP
Answer:
saclene obtuse
Step-by-step explanation:
sides all different and one angles is obtuse
5x-y=1/4 yea i need help lol
Answer:
x = (y+1/4)/5
Step-by-step explanation:
graph{y=5x-1/4 [-10, 10, -5, 5]}
need answer, please help!!
Find the value of x so that f(x)=7.
Answer:
5
Step-by-step explanation:
At 7 on the y-axis, the x-axis is 5
Alan compared the slope of the function y=3x+2 to the slope of the linear function that fits the values in this table. Which choice is true about the slopes of the two functions?
OPTIONS:
*The slope of the graph of the table is 1 more than the slope of the graph of the equation.
*The slope of the graph of the table is 2 more than the slope of the graph of the equation.
*The slope of the graph of the equation is 2 more than the slope of the graph of the table.
*The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Answer:
The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Step-by-step explanation:
The slope in the equation of the function, y = 3x + 2, is identified as 3.
We know this because, the equation for the function was given in the slope-intercept form, y = mx + b, where m represents the slope.
Therefore, the slope of the function is 3.
The slope of the function represented by the table of values can be calculated using any two given pairs on the table.
Using (1, 6) and (3, 10):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_2} = \frac{10 - 6}{3 - 1} = \frac{4}{2} = 2 [/tex]
Slope of the function represented by the table of values is 2.
Therefore, comparing the slope of both functions, we can conclude that:
✅"The slope of the graph of the equation is 1 more than the slope of the graph of the table."
Determine triangle type
Answer:
isosceles acute
Step-by-step explanation:
two same sides so it is isosceles and all angles under 90 so acute
Answer:
isosceles acute
17) Solve. 4 -2x = 10 A) -7 B) -3 0 D) 3
-3
Step-by-step explanation:
4 - 2x = 10
-4 -4
-2x = 6
÷ -2 ÷ -2
x = -3
. Mr. Sanders sells boats and works on commission only, with no base salary. He earned
$4,500 on the sale of a $27,000 boat.
This commission income for a sale is based on a constant rate of change for his pay at
the company.
If the relationship between his sales in dollars and his commission in dollars is
graphed, it would form a straight line. What would be the slope of this line?
Answer:
slope =
; Mr. Sanders earns $1 commission for each $6 dollars in sales
Step-by-step explanation:
no steps needed
what is 3x3+27+27+27?
Answer:
its 90
Step-by-step explanation:
When you want to make a whole number a fraction, what number do you put as the denominator?
Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?
Step-by-step explanation:
The constant of proportionality is the ratio of the cost to the number of pounds of walnuts. In other words, it is the price of one pound of walnuts.
$10.92 / 4 lb = $2.73 / lb
The constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x is $2.73 lb
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
The constant of proportionality can be calculated as the ratio of the cost to the number of pounds of walnuts.
x = number of walnuts
y = cost of walnutsin dollars
In other words, it is the price of one pound of walnuts now we have;
Constant of proportionality =$10.92 / 4 lb = $2.73 / lb
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
Please helppppp me Idk how to answer this
Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4,8). Select all that apply.
Answer:
A, 6 and B, 4
Which two points are on the graph of W(d) = 5d – 30?
Choose exactly 2 awnsers that are correct
0, 30
0, -30
-6, 0
6, 0
Im pretty sure its
(6, 0)
(0, –30)
I could be wrong though..
Apples are on sale for $3.12 per kilogram is the total cost of apples proportional to the total mass?
Answer:
proportional
Step-by-step explanation:
Answer: Yes it is proportional
Step-by-step explanation:
Can you guys please help me step by step ?2(2x-1)=6(x+2)
Answer:
Step-by-step explanation:
2(2x-1)=6(x+2) PEDMAS
4x-2=6x+12 subtract 4x from both sides
-2=2x+12 subtract 12
-14=2x divide by 2
x= -7
Answer:
x = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
2(2x - 1) = 6(x + 2)
Step 2: Solve for x
Distribute: 4x - 2 = 6x + 12Subtract 4x on both sides: -2 = 2x + 12Subtract 12 on both sides: -14 = 2xDivide 2 on both sides: -7 = xRewrite: x = -7Step 3: Check
Plug in x to verify it's a solution.
Substitute: 2(2(-7) - 1) = 6(-7 + 2)Multiply: 2(-14 - 1) = 6(-7 + 2)Subtract/Add: 2(-15) = 6(-5)Multiply: -30 = -30Here we see that -30 does indeed equal -30.
∴ x = -7 is a solution of the equation.
The sum of 5% of a number and nine is 16
Answer:
This can be written algebraically as 5% ⋅ x + 9 = 16. If you want to solve for x, you’ll get x=140
Step-by-Step Explanation:
The attached picture is how to solve for x step-by-step.
Hope this helps and answers your question! :)
Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period
Explain how she would calculate the difference between how much water levels rose on average and how much the water level fell in the part of the river she observed.
Answer:
Sample response:
Step-by-step explanation:
She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.
Answer:
Step-by-step explanation:
She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.
charlie reads 1 3/7 pages every minute 2/3 charlie reads at a constant rate
How many pages does he read per minute?
Answer:
5 pages\
Step-by-step explanation:
Answer: He reads 2 1/7 pages per minute.
Step-by-step explanation:
If you divide 1 3/7 by 2/3, you’ll get your answer.
A pound of ground beef costs $5. At this rate, what is the cost of 3/4 pounds?
Answer:
The answer would be $3.75
This can be easy if you take $5 and multiply it by 3/4 and you will get that answer!
I hope this helps :)
Step-by-step explanation:
Plz mark B R A I N L I E S T
2. How do you think the interaction between the
wind and the turbine blades result in electrical
energy? Explain your answer.
Answer:
Wind causes blade to move
Step-by-step explanation:
As blade moves, turbine work, and thus v get electricity from wind
Have a GOOD DAY.....
I will give brainliest
Answer:
36
Step-by-step explanation:
16*(9/4)
B is smaller than A in a ratio of 4/9, means that A is larger than B in ratio of 1/(4/9) = 9/4.
Please help will brainlist
Answer:
14-C
15-B
16-D
17-C
Step-by-step explanation:
.......
Can someone please help I'm stupid
1.25x - 6.50 > 60
Answer:
x>53.2
Step-by-step explanation:
please show your working out for (x+2)(x+4)=
Answer:
.
Step-by-step explanation:
(x+2)(x+4)
=x(x+4)+2(x+4)
=x²+4x+2x+8
=x²+6x+8
simplify the like terms 2x-5x
Answer:
-3x
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Write expression
2x - 5x
Step 2: Combine like terms (x)
-3x
Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four more cards than twice the number that Maura has. Part B) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to determine the number of cards Maura initially had.
Answer:
Maura had 12 cards initially
Step-by-step explanation:
Represent Dai's card with D and Maura's card with M.
From the first statement, we understand that:
D = 4 more that twice of M
This is represented as:
D = 4 + 2M
From the second statement, we understand that.
When 8 is subtracted from D, M is increased by 8 and both are equal.
This is represented as:
D - 8 = M + 8
Hence, the equations of the system is:
D = 4 + 2M
D - 8 = M + 8
Substitute 4 + 2M for D in the second equation
4 + 2M - 8 = M + 8
Collect like terms
2M - M = 8 - 4 + 8
M = 12
To solve for D, we simply substitute 12 for M in D = 4 + 2M
D = 4 + 2 * 12
D = 4 + 24
D = 28
Hence, Maura had 12 cards initially