Worth a lot of points!
Express the following equation in the form ax^2+bx+c=0:
(4a+3)^2=(a+5)(a−2)

Answers

Answer 1

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

Given

(4a + 3)² = (a + 5)(a - 2)

(4a + 3)(4a + 3) = (a + 5)(a - 2 ) ← expand both sides using FOIL

16a² + 24a + 9 = a² + 3a - 10 ( subtract a² + 3a - 10 from both sides )

16a² - a² + 24a - 3a + 9 + 10 = 0 ← collect like terms

15a² + 21a + 19 = 0


Related Questions

Cuales son los valores

Answers

Answer:

Can you please translate this into English so I can help you?

Step-by-step explanation:

f(x)=2x and g(x)=x2+3, find (g ∘ f)(−3)????

Answers

Answer:

18

Step-by-step explanation:

f(x)=2x and g(x)=x2+3, find (g ∘ f)(−3)

f(x)= 2(-3)= -6

g(x)= (-3)(2) +3= -6+3= -3

(g ∘ f) = -6 x -3= 18

Someone plz HELP ME
Don't skip this question I'M STUCK
Drawing box and whiskers plots

Answers

Answer:

Water is added to liquid isopropanol (a polar liquid) to form a solution of rubbing alcohol. Describe what happens on the molecular level as the water dissolves in the isopropanol.

Step-by-step explanation:

Determine the equation of the line passing through the points A(–1, 6) and B(2, 4).

Answers

Answer:

y = -2/3x + 5 1/3

Step-by-step explanation:

Find the slope:

4 - 6 / 2 - (-1) = -2/3

Put it in point-slope form:

y - 6 = -2/3(x + 1)

rearrange:

y - 6 = -2/3x - 2/3

y = -2/3x + 5 1/3

Translate the sentence into an equation.
Seven times the sum of a number and 5 equals 2.

Answers

Answer: 7(x + 5) = 2

Step-by-step explanation:

Use the variable x to represent the number

7(x +5) = 2

Answer:

7(x+5)=2              x= -33/7

Step-by-step explanation:

of 8
What is the sum of the 1st square number and the 10th square number?

Answers

9514 1404 393

Answer:

  101

Step-by-step explanation:

  1² + 10² = 1 + 100 = 101 . . . sum of 1st and 10th square numbers

Answer:101

Step-by-step explanation:yw

Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. What expression could Mr. Jackson use to find the cost of ordering n lunches?

Answers

The question is incomplete, here is the complete question.

Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. There is also a one-time delivery fee of $3.50. What expression could Mr. Jackson use to find the cost of ordering n lunches

Answer:

6.25x + 3.50

Step-by-step explanation:

Mr. Jackon orders lunch for his coworkers and himself at the cost of $6.25

The delivery fee is $3.50

Therefore the expression that can be used to find the cost of ordering lunch is

n = 6.25(x) + 3.50

n= 6.25x + 3.50

If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.

Answers

Answer:

12 square units

Step-by-step explanation:

Hope it helps

which one is it help please​

Answers

It would be b I’m sure

HELP PLS! TYSM (brainliest if correct)

Answers

Wouldn’t that just be 15.1?

Answer: 15.1

Step-by-step explanation:

15.2

- 0.1

15.1

Is it A) 5 or C) 1/5?

Answers

Answer:

5

Step-by-step explanation:

I need answers to this

Answers

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x  - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

Distribute
(x-6)(x-7)

a) x^2-13x-15
b) x^2-13x+42
c) x^2+x+42
d) x^2+x-15​

Answers

Answer:

B. x² - 13x + 42

Step-by-step explanation:

Need help please get done fast.

Answers

Answer:

47

Step-by-step explanation:

the sum of all the interior angles in a triangle is 180.

25+108=133

180-133=47

9 tens eqaul's how many ones? someone please help

Answers

Answer:

9 tens will be 90 (9x10=90) so there will be 90 ones

Step-by-step explanation:

I think that's what you are asking right?

Answer:

you are 100 percent correct

4 m 5m
What is the volume of the cone to the nearest cubic meter? (Use TC = 3.14)
A)

21 m3
B)
84 m2
0)
168 m
D)
335 m

Answers

Answer:

Step-by-step explanation:

volume of cone = πr²h/3

= 3.14×4²×5/3 = 84 m³

a 13 ft ladder is leaning against the house. The top of the ladder touches the house at ten ft above the ground. How far away is the bottom of the ladder from the house?

Answers

Pythagoras theorem, answer is sqrt69 or 8.307 to 3dp.

15 : The world population in 2010 was approximately 6.92 billion.
The annual rate of increase was about 1.0235. Find the world population in
2020.

Answers

A number that can be written

a MiniBicycle wheel has a Radius of 10inches. What is the circumference ?

Answers

Answer:

62.8

3,14x2x10=62.8in squared

4X + 3x + 2(3 + 6). Simplify *
which one is the answer
7 + 18
7X + 18
7X + 12​

Answers

7x+18 is the answer here
Yes I agree with the person

rewrite the question in slope-intercept form:
2x-4y-12= -13-2x

Answers

Answer:

y= x + 1/4

Step-by-step explanation:

did the math and that should be your answer

The volume of this rectangular prism is 59.52 cubic feet. What is the value of p?
4.8 ft
3.1 ft
р
= how many feet?

Answers

Answer: 4ft

Step-by-step explanation:

Find the equivalent of 2x^2 + (4x -6x^2) + 9 - (6x + 3)


A. -4x^2 - 2x +12
B.-4x^2 -2x + 6
C.-10x +6
D. 18x +12​

Answers

Answer:

B.-4x^2-2x+6.

Step-by-step explanation:

=2x^2+4x-6x^2+9-6x-3.

=2x^2-6x^2+4x-6x+9-3.

=-4x^2-2x+6.

Please find the square root of this non perfect square please

Answers

Answer:

1.41421

Step-by-step explanation:

This table gives the value of an investment for the first 5 years after the initial investment was made. The data can be modeled using an exponential function.

Years 1 2 3 4 5
Investment value $1,050 $1,103 $1,160 $1,215 $1,280
Based on the data, which amount is closest to the value of the investment 10 years after the initial investment?


$1,350

$1,475

$1,625

$1,800

Answers

Answer:

C.) $1,625

Step-by-step explanation:

Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800

From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear

You can just double 280 and get 560, which the closest answer is 1,625

It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween

$1,625

The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's suppose the exponential function that model the problem is:

 [tex]\rm y = ae^k^x[/tex]

Plug x = 1 and y = 1050

[tex]\rm 1050 = ae^k[/tex] ...(1)

Plug x = 2 and y = 1103

[tex]\rm 1103 = ae^2^k[/tex]  ...(2)

Divide equation (2) with (1)

[tex]\rm e^k = 1.0504[/tex]

Taking ln to get the value of k

k = 0.0491

a = 999.69

The exponential function:

[tex]\rm y = (999.6902)e^{0.0491}^x[/tex]

Plug x = 10 years in the above function:

y = $1633.44

Which is close to $1625

Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

Nicole sold t-shirts at a festival and made a profit of $83. She made $5 for each t-shirt she sold. Her total expenses were $22. How many t-shirts did she sell?

Answers

Answer:

21

Step-by-step explanation:

83+22=105

105/5=21

Juan sells 3 oranges for every 2 apples. How many apples should Juan expect to sell
when Juan sells 15 oranges:

Answers

Answer:

10 apples

Step-by-step explanation:

We can write a ratio to solve

3 oranges     15 oranges

--------------- = -----------------

2 apples           x apples

Using cross products

3x = 2 * 15

3x = 30

Divide by 3 on each side

3x/3 = 30/3

x = 10

Answer:

He can expect to sell 10 apples

I need help plz help me !!

Answers

Answer:

110

Step-by-step explanation:

y = 11/6x where x is in minutes

there are 60 minutes in an hour

plug in 60 as x

11/6 *60 = 11*10 = 110

Answer:17

Step-by-step explanation:

PLEASE HELP!!!!
If u give me the answer I will post another question for u worth ALOT of points just so rn I don't get scammed :(


How would you write the rules for solving fraction expressions?



A)- Addition



B)- Subtraction



C)- Multiplication



D)- Division

Answers

Answer:

multiplication

Step-by-step explanation:

Hopes this helps:

Answer: multiplication

We can multiply two fractions with different denominators, but we cannot add and subtract them.

SIMPLE > Simplify. 4√27 + 6√75 Enter your answer, in simplest radical form...

Answers

Answer:

42√3

Step-by-step explanation:

4√27 = 4√(9)(3) = 12√3

6√75 = 6√(25)(3) = 30√3

12√3 + 30√3 = 42√3

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