what values of a,b,c make this equation true? (2x-5)(x+2)+(ax^2+bx+c)=6x^2-4x-7

What Values Of A,b,c Make This Equation True? (2x-5)(x+2)+(ax^2+bx+c)=6x^2-4x-7

Answers

Answer 1

Answer:

A - a = 4, b = -3, c = 3

Step-by-step explanation:

When you substitute in a, b, and c you get

(2x - 5) (x + 2) + (4x^2 + -3x + 3)

collect like terms

(2x)(x) + (2x)(2) + (−5)(x) + (−5)(2) + 4x^2 + −3x + 3

combine like terms

2x^2 + 4x + −5x + −10 + 4x^2 + −3x + 3

(2x^2 + 4x^2) + (4x + −5x + −3x) + (−10 + 3)

6x^2 + −4x + −7

6x^2 + −4x −7


Related Questions

There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?

Answers

Answer:

3:2

Step-by-step explanation:

can also be written as 3/2 as a fraction!

Answer:

Blue paint to red paint - 3:2

Red paint to blue paint 2:3

Step-by-step explanation:

For every 3 cups of blue paint there is 2 cups of red paint

For every 2 cups of red paint there is 3 cups of blue paint

Fraction Mode: 3/2 or 2/3

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. y=4x and 3x+2y=55 * what solution is it

Answers

Answer:

 svkjhpwheqigjufhwqieweho87qrf

Step-by-step explanation:

(5,20)

3x+2(4x)=55
11x=55
X=5

Y=20. (4x)

For one shipment, trucks are loaded first and cars are loaded afterwards. (Even though trucks are bulkier than cars, a shipment can consist of all trucks as long as it is within the weight limit.)
Find the number of cars that can be shipped if the cargo already has:

A. 480 trucks
B. 1500 trucks
C. 2736 trucks
D. T trucks (solve for t)

I need this as soon as possible please-

Answers

Answer: I think the answer is A.

Sorry if I'm wrong.

PLS HELP!!
i need the answer my teacher is gonna make me fail!

Answers

Answer:

I think it c=4p

Step-by-step explanation:

I’m sorry if it wrong

a women bought some large frames for $18 each and some small frames for $7 each at a close out sale. If she bought 14 frames for $153, find how many of each type she bought.

Answers

The number of large frame bought by women are 5 and small frames are 9.

What is defined as the linear equation in two variables?Linear equations in two variables are equations with one, even no, or infinitely many solutions in which each of a two variables has the highest exponent order of 1. A two-variable linear equation has the standard form ax + by + c = 0, where x and y are the variables.

Let 'x' be the number of large frames.

Let 'y' be the number of small frames.

The concepts used is;

money + money = money  and

number of small frames + number of large frames = total number of frames.

Cost of each small frame is $7.

The cost of each large frame is $18.

Total cost is $153.

The system of equations are formed as;

$18y + $7x = $153   ........equation 1.

x + y = 14  

y = 14 - x   .....Put this in equation 1.

$18y + $7x = $153

18(14 - x) + 7x = $153

252 - 18x + 7x = 153

11x = 99

x = 9

y = 14 - 9 = 5

Thus, the number of large frame bought by women are 5 and small frames are 9.

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Which equation matches the function shown below?

Answers

Answer:

Step-by-step explanation:

Pick the two easiest points to deal with.

(0,4)  and (2,0)

Find m

m = (y2 - y1)/(x2 - x1)

y2 = 4

y1 = 0

x2 =0

x1 = -2

m = (4 - 0)/(0 - - 2)

m = 4/2 = 2

Now use one of the points to find b

y = mx + b        Use (0,4)

4 = 2*0 + b

b = 4

The equation you want is y = 2x + 4

The angle by which turns clockwise about point P to coincide with is
.

If from point P, a point D is drawn directly opposite point C so that D, P, and C are on the same straight line, the angle by which turns counterclockwise about point P to coincide with is

Answers

The angle by which turns counterclockwise about point P to coincide with is 180 degree angle

What is 180 degree angle?

The angle which forms a straight line is called the 180-degree angle. A 180-degree angle is a straight angle and it is exactly half of a revolution. The two arms of the angle which are making 180-degree are just opposite to each other from the common vertex.

The points D, P and C forms a straight line.

So, if it turns clockwise about Point P, it would make an angle of 180 degree.

as the point D and C are of equal lengths and opposite to each other, the angle from P turning clockwise makes 180 degree angle.

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Answer:

100

80

Step-by-step explanation:

plato

ok pls help this needs to be answered fast
what is an example of equasions when you are given the constant of poportionality

Answers

Answer:

the oeange will be there for u

Step-by-step explanation:

1 then 4 then 3 then 6 then 2

Sarah has a ribbon that is 10 feet long. She has to cut it into 13 equal pieces. How long is each after being cut?

a)13/10 feet long
b) 10/130 feet long
c) 130/10 feet long
d)10/13

Answers

The answer is D 10/13 I hope this helps
I think the answer a 13/10 feet long

16 × 2 1/2=? tell me you will get brainiest

Answers

Answer:

40.

Step-by-step explanation:

16 × 2 1/2= X

= 40.

jeffery read that he should drink 8 cups of water a day He has a water bottle that measures water in fluid ounces How many fluid ounces of water should Jeffery drink per day​

Answers

Answer:

What are yu askin

Step-by-step explanation:

Answer:

64 Ounces

Step-by-step explanation:

2 What is the GCF of y2(y + 1) and y(y + 2)?

Answers

Answer:

the answer is Y

Step-by-step explanation:

The greatest common factor (GCF) of two polynomial expressions is y.

The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.

To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

The only factor that both polynomials have in common is y, so the GCF is y.

Here is the solution in more detail:

Factor each polynomial.

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

Find the factors that are common to both polynomials.

The only factor that both polynomials have in common is y.

The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.

The GCF is y.

Therefore, the GCF of y2(y + 1) and y(y + 2) is y.

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how you can use Triangle congruence to solve real-world problems? give 3 examples.

Answers

Answer:

1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.

3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.

Need ASAP if you don’t know the answer don’t answer

Answers

Answer:

11.5

Step-by-step explanation:

11.5

Step by step explanation:

A store sold 550 video games during the month of December. If this made up 12.5% of its yearly video games scales, about how many video games did the store sell all year?

Answers

Answer:

The store sold 4,400 video games all year.

Step-by-step explanation:

Percentages

The x percent of a number N is calculated as:

[tex]\displaystyle P=\frac{x}{100}*N[/tex]

If the value of P is known, then:

[tex]\displaystyle N=\frac{100}{x}*P[/tex]

We know the store sold P=550 video games during the month of December and it corresponds to the x=12% of its yearly games sales (N).

Let's calculate N:

[tex]\displaystyle N=\frac{100}{12.5}*550[/tex]

N = 4,400

The store sold 4,400 video games all year.

how do you write 2x simplified?

Answers

Answer:

Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.

Step-by-step explanation:

Jessica runs 4 miles every 32 minutes. At thisrates, how many miles does she run in 48 minutes

Answers

Proportion
4/32 = x/48
48/32 = 1.5
x/4 = 1.5, 4 * 1.5 = 6
Solution: 6 miles

Order the following from lowest to highest. Lowest 0.44 25 38% 4% 0.3 720 Highest

Answers

Answer: 0.3, 38%, 4%, 0.44, 25, 720?

Step-by-step explanation: I don't really know what the 25 and 720 are in this case it's a little complicated if you specify it more I can give you a more accurate answer sorry if this didn't help but if it did I'm glad to be helpful :)

Kevin ran 5 miles in 42 minutes. How many miles per hour did Kevin run? Round to the nearest tenth.

Answers

kevin ran 8 miles rounded to the nearest tenth

he ran a mile in 8.4 minutes. Step-by-step explanation:

The top of a rectangular table has an area of 21 square feet. The width of the table is 3 1/2 feet. What is the length of the table

Answers

As per given data area of the top of the rectangular table 21 square feet ,

width [tex]3\frac{1}{2}[/tex] feet the length of the table is equal to 6 feet.

As given,

Area of the top of the rectangular table = 21square feet

Width of the table =  [tex]3\frac{1}{2}[/tex] feet

Let 'l' be the length of the rectangular table

Area = length × width

⇒ 21 =(7/2) × l

⇒l =(21 ×2)/7

⇒l=6feet

Therefore, as per given data area of the top of the rectangular table 21 square feet , width [tex]3\frac{1}{2}[/tex] feet the length of the table is equal to 6 feet.

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Find the value of x.

Answers

Answer:

54

Step-by-step explanation:

Please need help on this one not even sure on this

Answers

Answer:

I‘m pretty sure its a special right triangle, basically a 30, 60, 90 triangle. I checked with the formula and it’s correct. So the angle W is wither a 60 Degree or 30 degree and I‘m on the side of 30 degrees.

So I’m pretty sure its 30 degree.

The formuda is the hypotenuse is 2x and the (a) (3 in this case) is x. The 5 would come out as the formula 3[tex]\sqrt{3}[/tex]. Now we know the sides, 3, 5 and 6 so we just plug it in and solve for the square root and it equals to ABOUT 5.

I’m not sure if I’m correct but I’m not confident.

Factor $9p^2 + 30p + 25.$ pls help

Answers

Answer:

(3p + 5)^2

Step-by-step explanation:

9p^2 + 30p + 25

9p^2 is the square of 3p = a

25 is the square of 5 = b

This may be the square of a binomial.

We need to check the middle term.

(a + b)^2 = a^2 + 2ab + b^2

2ab = 2(3p)(5) = 30p

This is the square of a binomial.

9p^2 + 30p + 25 = (3p + 5)^2

You buy tomatoes in 25- pound cases. One batch of cobb salad requires 6 ounces of tomatoes. How many portions can be made with one shipment. Round diwn don't include partial portions​

Answers

Since each pound equals 16 ounces, multiply the 25 pound cases by 16. This will result in 400 ounces. Divide the 400 ounces by 6 for each Cobb salad, which will give us 66.66. But we must round down, so the answer is 66 portions.

Which represent geometric sequences? A marathon runner runs half of a race, then runs half the distance left to the finish line, then runs half the distance that still remains, and so on. The first movie rental costs $2, and each additional rental costs $1. 10, 1, 0.1, 0.01, … –4, 20, –100, 500, … –1, 5, 11, 17, 23, …

Answers

Answer:

Step-by-step explanation:

1). Let the length of a marathon race = x miles

   Marathon runner runs this race in the sequence formed as,

   [tex]\frac{x}{2},\frac{x}{4},\frac{x}{8}.........[/tex]

  Common ratio = [tex]\frac{\frac{x}{4}}{\frac{x}{2}}[/tex]

                           = [tex]\frac{x}{4}\times \frac{2}{x}[/tex]

                           = [tex]\frac{1}{2}[/tex]

  Therefore, it's a geometric sequence.

2). First movie rental cost = $2

  Followed by each additional movie rental cost = $1

  Therefore, rental of movies will be in the form of a linear equation,

  y = 2x + 1

  where x = number of movies

  And y = Rental of movies

  It's not a geometric sequence.

3). 10, 1, 0.1, 0.01.......

  Ratio in 2nd and 1st term = [tex]\frac{1}{10}=0.1[/tex]

  Ratio in 3rd and 2nd term = [tex]\frac{0.1}{1}=0.1[/tex]    

  Therefore, ratio in each term is common.

  Sequence formed will be a geometric sequence.

4). [tex]\sum_{k=1}^{7}4(0.2)^{k-1}[/tex]

   Expression represents a common ratio of 0.2,

  Therefore, expression given will represent a geometric sequence.

5). -4, 20, -100, 500, ...........

   Ratio of 2nd and 1st term = [tex]\frac{20}{-4}[/tex] = -5

   Ratio of 3rd and 2nd term = [tex]\frac{-100}{20}[/tex]

                                               = -5

   There is a common ratio = -5

   Therefore, it's a geometric sequence.

6). -1, 5, 11, 17.........

   Ratio of 2nd and 1st term = [tex]\frac{5}{-1}=-5[/tex]

   Ratio of 3rd and 2nd term = [tex]\frac{11}{5}=2.2[/tex]

   -5 ≠ 2.2

   Therefore, sequence is not a geometric sequence.

7). -500, 100, -20, 4........

   Ratio of 2nd and 1st term = [tex]\frac{100}{-500}=-\frac{1}{5}[/tex]

   Ratio of 3rd and 2nd term = [tex]\frac{-20}{100}=-\frac{1}{5}[/tex]  

Answer:

I agree with person above

Step-by-step explanation:

The gradient of the tangent of the curve y=2x^3 + ax^2 - x + 3 at the point x=1 is 3. Find the value of a.​

Answers

Hello!

[tex]\large\boxed{a = -1}[/tex]

y = 2x³ + ax² - x + 3

Find the derivative using the power rule:

y' = 6x² + 2ax - 1

Substitute in the given slope and x value to solve for a:

3 = 6(1)² + 2(1)a - 1

3 = 6 + 2a - 1

4 = 6 + 2a

-2 = 2a

a = -1

Answer:

a = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Calculus

The definition of a derivative is the slope of the tangent line.

The derivative of a constant is equal to 0.

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

y = 2x³ + ax² - x + 3

y'(1) = 3

Step 2: Differentiate

Basic Power Rule:                    y' = 3 · 2x³⁻¹ + 2 · ax²⁻¹ - 1 · x¹⁻¹ + 0Simplify:                                    y' = 6x² + 2ax - 1

Step 3: Solve for a

Substitute:                         3 = 6(1)² + 2a(1) - 1Exponents:                        3 = 6(1) + 2a(1) - 1Multiply:                             3 = 6 + 2a - 1Combine like terms:         3 = 5 + 2aIsolate a term:                   -2 = 2aIsolate a:                            -1 = aRewrite:                             a = -1

Which function is graphed?

Answers

Answer:

Option A

Step-by-step explanation:

The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.

We can therefore eliminate C and D.

Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger.  Therefore, A is the more preferred answer because the domain x<1 is valid.

which one represents a function????

Answers

Answer:

A is the correct answer




HELPP!!
Write a system of equations modeling the given conditions. Then solve the system by the substitution method and find the two numbers.
The difference between two numbers is 3. The sum of the larger number and twice the smaller number is 21. Find the numbers.

Answers

System of equations:

x - y = 3

x + 2y = 21

solving using substitution:

1. isolate one of the variables in one of the equations

x - y = 3

x = 3 + y

2. substitute 3 + y into the other equation

3 + y + 2y = 21

3. simplify

3 + 3y = 21

3y = 18

y = 6

4. substitute 6 back into one of the equations and solve for x

x - 6 = 3

x = 9

HELP ASAP PLEASE :))))

The graph below shows the height, in feet, over time,
in seconds, of a student's rocket. Use the graph to
answer the questions below. What was the maximum
height the rocket reached?

Answers

Answer:

65 ft

Step-by-step explanation:

in 7 second the rocket went 65 ft

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