Given that [tex](ax+4)(2x+b)=2x^2+5x-12[/tex], what are the values of a and b?

Answers

Answer 1

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


Related Questions

Can someone please help I'm stupid
1.25x - 6.50 > 60

Answers

Answer:

x>53.2

Step-by-step explanation:

1.25x-6.50>60

1.25x>60+6.50

1.25x>66.50

1.25x/1.25>66.50/1.25

X>53.2

Answer: X>53.2

Can you guys please help me step by step ?2(2x-1)=6(x+2)

Answers

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 Properties

Step-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 = -7

Step 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 = -30

Here we see that -30 does indeed equal -30.

∴ x = -7 is a solution of the equation.

Please helppppp me Idk how to answer this

Answers

c. Plug in 0 into the equation
y = (0)^2 + 10
y = 10
It would be (0,10)

A pound of ground beef costs $5. At this rate, what is the cost of 3/4 pounds?

Answers

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

$3.75 explanation: 5 would become 5/1 then you’d multiply 5/1 times 3/4 which equals 15/4 which would convert to 3 3/4 and 3/4 is .75 so it would be $3.75

When you want to make a whole number a fraction, what number do you put as the denominator?

Answers

You would usually put 1 as the denominator.

For example :
6 is a whole number , & placing it as 6/1 does not change the value , but makes it as a fraction.

5x-y=1/4 yea i need help lol

Answers

Answer:

x = (y+1/4)/5

Step-by-step explanation:

graph{y=5x-1/4 [-10, 10, -5, 5]}

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.

Answers

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.

Determine the type of triangle that is drawn below. PLZZ ASAP

Answers

Answer:

saclene obtuse

Step-by-step explanation:

sides all different and one angles is obtuse

need answer, please help!!

Answers

The answer is 27root2 definately

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?

Answers

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

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

Answers

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

what is p^m ÷ by p^n equal to?

Answers

Answer:

hbbbbb

Step-by-step explanation:cvv cv

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?

Answers

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."

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.​

Answers

Answer:

A, 6 and B, 4

Apples are on sale for $3.12 per kilogram is the total cost of apples proportional to the total mass?

Answers

Answer:

proportional

Step-by-step explanation:

Answer: Yes it is proportional

Step-by-step explanation:

Determine triangle type

Answers

Answer:

isosceles acute

Step-by-step explanation:

two same sides so it is isosceles and all angles under 90 so acute

Answer:

isosceles acute

what is 3x3+27+27+27?

Answers

3x3+27+27+27. The answer is 90!

Answer:

its 90

Step-by-step explanation:

charlie reads 1 3/7 pages every minute 2/3 charlie reads at a constant rate
How many pages does he read per minute?

Answers

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.

. 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?

Answers

Answer:

slope =

; Mr. Sanders earns $1 commission for each $6 dollars in sales

Step-by-step explanation:

no steps needed

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.

Answers

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

simplify the like terms 2x-5x

Answers

Answer:

-3x

General Formulas and Concepts:

Combining like terms

Step-by-step explanation:

Step 1: Write expression

2x - 5x

Step 2: Combine like terms (x)

-3x

please show your working out for (x+2)(x+4)=

Answers

Answer:

.

Step-by-step explanation:

(x+2)(x+4)

=x(x+4)+2(x+4)

=x²+4x+2x+8

=x²+6x+8

Please help will brainlist

Answers

Answer:

14-C

15-B

16-D

17-C

Step-by-step explanation:

.......

PLEASE HELP......rotate this image 90° counterclockwise and write the new coordinates for V’

Answers

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 :   )

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

Answers

Im pretty sure its

(6, 0)

(0, –30)

I could be wrong though..

I will give brainliest

Answers

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.

17) Solve. 4 -2x = 10 A) -7 B) -3 0 D) 3​

Answers

-3

Step-by-step explanation:

4 - 2x = 10

-4 -4

-2x = 6

÷ -2 ÷ -2

x = -3

2. How do you think the interaction between the
wind and the turbine blades result in electrical
energy? Explain your answer.

Answers

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.....

Find the value of x so that f(x)=7.

Answers

Answer:

5

Step-by-step explanation:

At 7 on the y-axis, the x-axis is 5

The sum of 5% of a number and nine is 16

Answers

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! :)

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