# Consider the equation y=2x2+9x+1. When x=−1, what is the value of y?

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### Algebra 1b HELP

Consider the equation y=2x2+9x+1. When x=−1, what is the value of y? This question is a 'enter correct answer'. It doesn't give me any options. But, I did the math three times already, shouldn't Y=-10?

### Algebra2

Complete parts a – c for each quadratic function. a. Find the y-intercept, the equation of the axis of symmetry and the x-coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1. f(x) = 2x2 2. f(x) = x2...

### Calc

The slope of a curve at each point (x,y) is given by 4x - 1. Which of the following is an equation for this curve if it passes through the point (-2,3)? A) y=4x²-x-15 B) y=x²-4x-9 C) y=2x²-x-7 D) y=2x²-x E) y=2x²-x+7

### algerba

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has? What are the solutions to the quadratic equation 4(x + 2)2 = 36 Mischa wrote the ...

### $$college algebra$$

Consider g(x) = -2x2 + 36x - 142 for x > 9. Find g-1(12). If this value does not exist, the type DNE in the space provided.

### Algebra

Solve. (–10x3 + 30x – 20) ÷ (–5x + 5) • 2x2 – 2x + 4 • –2x2 – 2x – 4 • –2x2 + 2x + 4 • 2x2 + 2x – 4 How?

### Math

Consider the following 2x2 system of linear equations, x + y = 3 x + (a^2 - 8)y = a If the system have a unique solution, then a takes any value except a=-3 and what?

### Algebra 2

If f(x)= x2 + 2x - 6 and g(x)= 3x2 - 5x - 7, find f(x)-g(x). A) -2x2 - 3x + 1 B) -2x2 + 7x + 1 C) -2x2 - 3x - 13 <my choice D) 4x2 - 3x - 13

### math

(please solve step by step) solving equation (6x+2)/4 + (2x²-1)/(2x²+2) = (10x-1)/4x we got roots as

### Algebra

Determine the number of real-number solutions to the equation -2x2 - x - 5 = 0, given the graph of y = -2x2 - x - 5

### Algebra

If the sides perpendicular to the wall have length x feet, which of the following (A, B, C, or D) represents the area A of the garden? A(x) = –2x2 + 30x A(x) = –2x2 + 60x A(x) = x2 – 60x A(x) = 2x2 – 60x

### adult education

How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? o If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to ...

### multivariable calculus

Consider the surface given by the equation: 2x2 - 3z2 - 4x -4y - 12z + 2 = 0 (a) Write in standard form ) (b) Determine and classify the traces with planes parallel to the xy-, xz- and yz- planes. (c) Hence classify the surface.

### math

consider the equation x^2+kx+1=0 a single fair die(dice)is rolled to determine the value of the middle coefficient, k. the value for k is the number of dots on the upper face of the die. what is the probability that the equation will have real, unequal roots?

### Math

What is the value of the descriminant of 2x2-13x-7=0? And what can you learn to know about the roots from that value?

### college algebra

find the zeros of f,f(x) = 2x2 + x − 21 x= ? larger value x= ? smaller value

### Algebra

For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work. y = -2x2 + 2x +2 -(1/2)y=x^2-x-1 (-1/2)y+1=x^2-x (-1/2)y+1=(x-1/2)^2-14 (-1/2)y=(x-1/2)^2-5/4 y=-2(x-1/2)^2+5/2 Is this right ?

### Algebra

For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work. y = -2x2 + 2x +2 -(1/2)y = x^2 - x - 1 (-1/2)y + 1 = x^2 - x (-1/2)y + 1 = (x - 1/2)^2 - 1/4 (-1/2)y = (x-1/2)^2 - 5/4 y = -2(x-1/2)^2 + 5/2 would this be ...

### Chemistry

1. Write the balanced equation. Use ONLY this equation to reference how the reactions below will shift. Consider whether there is an addition, a removal, or no effect to the reaction. Co(H2O)6^2+ + 4Cl^- <--> CoCl4^2- + 6H2O 2. Write the equilibrium expression for the ...

### geometry

f(x)=2x²-Bx+4 and f(3)=13, what is the value of B?

### math

Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f continuous at x = a. HINT [See Example 2.] (If there is no such value, enter NONE.) f(x) = x 2x2 − x ; a = 0

### math

graph y=x2,y=2x2 and y=1/2x2 on the same

### algerba 1

Solve by graphing 1. 2x2-7x+5=0 2. 2x2+x-6=0

### Algebra

When 3x2 – 2x + 1 is subtracted from 2x2 + 7x + 5, the result will be what? do I subtract 3x2 – 2x + 1 - 2x2 + 7x + 5 like this or 2x2 + 7x + 5 - 3x2 – 2x + 1 like this?

### Math: Please check my answers

1. What is the degree of the monomial 3x2y3? 2 3 5 6 2. What is the simplified form of 8b3c2 + 4b3c2? 12bc 12b3c2 12b6c4 12b9c4 3. What is the simplified form of (4j2 + 6) + (2j2 – 3) ? (1 point) (0) 6j2 – 3 (1) 6j2 + 3 (0) 6j2 + 9 (0) 4j4 + 3 4. What is the difference of ...

### Algebra

Find the zeros of f. f(x) = 2x2 + x − 21 x = ____ (smaller value) x = ____ (larger value)

### algebra

Find the zeros of f. f(x) = 2x2 + x − 21 smaller value = ___ larger value = ___

### algebra

Did I do this problem the correct way if so is there a shorter way to explain this? x(x + 6)(x + -4) = 24x x(6 + x)(x + -4) = 24x x(6 + x)(-4 + x) = 24x (6 + x) * (-4 + x x(6(-4 + x) + x(-4 + x)) = 24x x((-4 * 6 + x * 6) + x(-4 + x)) = 24x x((-24 + 6x) + x(-4 + x)) = 24x x(-24...

### calculus

Consider the function f(x)=4x3+2x2+5, and let c be a number in the interval [01]. For what values of k is there a c in this interval such that f(c)=k?

### algebra

)Find a value of s such that x – 4 is a factor of f(x) = x3 - 2x2+ sx + 4.

### AP AB Calculus

Linear approximation: Consider the curve defined by -8x^2 + 5xy + y^3 = -149 a. find dy/dx b. write an equation for the tangent line to the curve at the point (4,-1) c. There is a number k so that the point (4.2,k) is on the curve. Using the tangent line found in part (b), ...

### Math

Solve: 1.) 2x² + 24 = x² The answers I obtained were: x = i√24 and x= -i√24 are these correct? 2.) 9x³ = 25x 3.) 5x² - x = 7x² - 5x - 2 4.) 2x² = x³ + 4x - 8 ~Thank you

### MathematicalModels

Consider the Black-Scholes-Merton model for two stocks: dS1(t)=0.1S1(t)dt+0.2S1(t)dW1(t) dS2(t)=0.05S2(t)dt+0.1S2(t)dW2(t) Suppose the correlation between W1 and W2 is 0.4. Consider the dynamics of the ratio S1/S2, where A,B,C,D,F,G,I,J,K,L are constants to be found: d(S1(t)/...

### math

evealuate the given function for the x value. f(x)= x2+1/4x+2,g(x)=x3+1/2x2+x find (f+g)a

### math

Evaluate each expression for the given value of the variable. 2x2 for x =3

### algebra

Evaluate each polynomial for the given value of the variable. –x2-5x+6; x= -3 2x2-4x-1; x= 5

### Maths

If zeros of p(x)=2x2-7x+k are reciprocals of each other,then find the value of me

### Algebra

Given below are equations for 2 planes in R3. 3x1 − 2x2 = 10 x1 + 2x2 + 4x3 = −2 Explain why these two planes must intersect in a line.

### math

Graph the quadratic functions y = -2x2 and y = -2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.

### calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19

### calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19

### math

Graph the quadratic functions y = -2x2 and y = -2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs. (3 points)

### Math (Calculus) (mean value theorem emergency)

Consider the graph of the function f(x)=x^2-x-12 a) Find the equation of the secant line joining the points (-2,-6) and (4,0). I got the equation of the secant line to be y=x-4 b) Use the Mean Value Theorem to determine a point c in the interval (-2,4) such that the tangent ...

### Algebra

Can someone help me solve this equation?/ [SQRT(2x2 + 5x + 6)]=x

### Algebra

Evaluate the function at the given value of the independent variable and simplify. f(x) = 2x2 - 5x + 6; f(x - 1)

### Math

To three decimal places, find the average value of f(x) = 2x2 + 3 on the interval [0, 2].

### Algebra

I need help doing this problem, should I not get the same answer with each technique? Please help. What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation: 2x² + 3x + 1 = 0

### calculus

Consider the following. y = (2x2 + 5)(x3 − 25x) at (5, 0) (a) At the indicated point, find the slope of the tangent line. (b) Find the instantaneous rate of change of the function.

### Vectors

Consider the lines L1: [x,y,z] = [4,-2,k] + s[1,1-3] +t[2,3,1] Determine a value of k that is 10 units away from the plane with the equation 10x-7y+Z-28=0

### calculus

equation of the tangent line to the curve y = 2x²-x+10 at the point (-1,13)

### math-algebra 2

What are the solutions of the quadratic equation? 2x2 – 16x + 32 = 0

### math

The value of the term middle in the expansion (2x2 + 1)10 , x=0.5 is: (a) 77 (b) 462 (c) 330 (d) 252 what is the answer and how ?

### Algebra

A gardener has 60 feet of fencing with which to enclose a garden adjacent to a long existing wall. The gardener will use the wall for one side and the available fencing for the remaining three sides. (a) If the sides perpendicular to the wall have length x feet, which of the ...

### algebra2

this equation represents the area of a rectangular chicken coop a=2x2-4x+2

### Calculus

Determine the equation of the tangent line to the curve y = 2x²-1 at the point where x = -2

### Algebra

Which equation represents the axis of symmetry of the function y = –2x² + 4x –6? (1 point) y = 1 x = 1 x = 3 x = –3

### Algebra

Where do you insert parenthesis to make this equation true: 3x5+4-2x2+6-4=15

### I would like to understand my calc homework:/

Consider the differential equation given by dy/dx=(xy)/(2) A) sketch a slope field (I already did this) B) let f be the function that satisfies the given fifferential equation for the tangent line to the curve y=f(x) through the point (1,1). Then use your tangent line equation...

### algebra

Im lost i don't know how to do this can someone show me step by step how to solve this For what value does c does the equation have one real root? Hint using the values of a and b found in the equation, solve D = 0 for c. Consider the quadratic expression X^2 + 4x + c = 0.

### algebra

Im lost i don't know how to do this can someone show me step by step how to solve this For what value of c does the equation have one real root? Hint using the values of a and b found in the equation, solve D = 0 for c. Consider the quadratic expression X^2 + 4x + c = 0.

### MATH

I NEED TO SOLVE FOR Y AND X im getting rele confused on this. ok here is the prob. x+y=5 x-2y=-4 equation 1 x+y=5 equation 2 x-2y=-4 Multiply equation 1 by -1. Add equation 1 to equation 2. The x term cancels. Solve for y. THEN, put the value of y into either equation and ...

### Numerical Analysis

show that the equation xcosx-2x2+3x-1=0 has at least one solution in [0.2,0.3]

### Math

For questions 1 and 2, use integer values of x from –3 to 3 to graph the equation. 1. y = –2x2 + 3 (1 point)

### Algebra II

Explain, without doing any calculations, why there cannot be a Real solution to the equation p5 + 2x2 + 3px + 7 + 8 = -2:

### arithmetic

How do I solve these questions? 3 1/3 - 2 2/5= 2.75 + .003 + .158 = 7/20 is equal to ? What is the value of the expression 2x2+ 3xy – 4y2 when x = 2 and y = - 4? 16x - 8 = If 2x – 3(x + 4) = - 5, then x = – 3(5 – 6) – 4(2 – 3) =

### math

So is the function, f(x)= 2x²- 3x + 4 linear or nonlinear? Find f(-3) and f(3) for this function. I have the answer f(x)= 2(3)²- 3(3) + 4 =29 and f(x)= 2x²- 3x + 4 =49 I hapo this is correct and this is non linear?

### Calculus

Which of the following is the general solution of the differential equation dy/dx = 2x/y? y2 = x2 + C y2 = 2x2 + C <- my answer y2 = 4x2 + C x2 − y2 = C

### differential equations

Consider the 2nd order differential equation: x''(t)=-x-A(x^2-1)x'(t) x(0)= 0.5 x'0)= 0 ''= 2nd order,'= 1st order where A is a positive constant.As the value of A increases this equation becomes increasingly stiff. Convert this equation to two first-order equations. please ...

### math

I'm having some troubles with these. Thanks in advance. If a>0 find the minimum value. If a<0 find the maximum value. 1. y=-x²+2x+5 2. y=-2x²-3x+4 These are functions for parabolas, so f(x)=ax²+bx+c when a does not equal 0 In both your examples, the "a", which is the ...

### ap calc

Consider { a sin x + b, if x ≤ 2π { x^2 - πx + 2, if x > 2π A.) Find the values of a and b such that g(x) is a differentiable function. B.) Write the equation of the tangent line to g(x) at x = 2π. C.) Use the tangent line equation from Part B to write an ...

### Calculus

Consider the differential equation, dy/dx=(x+1)/y^2 with the initial condition y(0)=3. Write down the particular solution, and hence, calculate the value of y when x=8.7, to 3 dec places.

### Algebra II

When asked to solve the rational equation 11/2x^2+x-15=5/2x-5-x/x+3 a student multiplied both sides of the equation by the expression (2x2+x−15)(2x−5)(x+3). Was this the best thing for the student to do? If not, what should the student have done?

### Maths (Linear and Quadratic Equations)

I need to solve a pair of equations where one is linear and the other is quadratic. 2x2 + 3xy + y2 = 0 3x + y = 2 last 2 in 2x2 is square root two, same after y2. help please!!!!!!!!!!!!!!!

### Pre-Calculus

Find the inverse of the following quadratic equation. Hint: Complete the square first. y= 2x²+16x-5

### maths

Write the system as a matrix equation and solve using inverses. x1 + 2x2 - x3 = -3 -2x1 - x2 + 3x3 = 0 -4x1 + 4x2 - x3 = -12 A. x1 = 2, x2 = -3, x3 = 1 B. x1 = 1, x2 = -2, x3 = 1 C. x1 = 1, x2 = -2, x3 = 0 D. x1 = 1, x2 = -3, x3 = 1

### PRECALC QUESTION

Solve for "x" and "y" given the following matrix equation: (2x, 0.5y, -2, 1) * (3, -2, 0, 1) = (-24, 19, -6, 5) (the matrices are going from left to right, they're all 2x2's.)

### Operations research

36) Consider the following minimization problem: Min z = x1 + 2x2 s.t. x1 + x2 ≥ 300 2x1 + x2 ≥ 400 2x1 + 5x2 ≤ 750 x1, x2 ≥ 0 What is the optimal solution?

### AlgebraB-2

1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum? 3. How is the graph of y = –2x2 – 4 different from the graph of y = –2x2? (1 point) 4. Graph the function. Identify the vertex and axis of symmetry.

### calc

Consider a function f : {R}^2 \to {R}^2 for which f(4, -4) = (3, 3) and f{D}f(4, -4) = (5 4) (-3 0) <-- this is a 2x2 matrix The linear approximation of f at the point (4, -4) is (written as a row vector) is L(x,y) = (___,___) thanks, I have no idea where to. Since they ...

### Maths

From looking at a periodic function, we had to decide on the equation for it. I got: y = 1.05 sin x2pi/11.72 + 1.55 1.05 is the 'a' value of the equation 2pi/11.72 is the 'b' value for the equation 1.55 is the 'd' value of the equation we were told not to take into ...

### statistics

27. Consider the following hypothesis test. H0: µ = 15 Ha: µ ≠ 15 A sample of 10 gives a sample mean of 8.9 and population variance of 9. Consider the following data drawn from a normally distributed population: 4, 8, 12, 11, 14, 6, 12, 8, 9, 5, α = 0.01 a) At &#...

### ALGEBRA 1!PLZ HELP!

Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve the first equation for y. y = 2x-5 Substitute that for y in the second equation and solve for x. Then use the value of x to substitute back into the first equation and solve for y. Post ...

### math

State the solutions, or estimated solutions, to each quadratic equation in Exercises 23–26 by examining the graph of the related quadratic function equation 2x2 - 3x - 4 = 0 and Graph:y=2x^2-3x-4 Can someone help me with this

### Math

a) Find the product (1/2x2+y2) x-y b) Simplyfy 5/3a2b x (-3/4ab3) x (-4/5a2b2) and find the value for 2= -2 and b= 1. c) Divide x (5x2 - 80 by 5x (x+4). Thanks in anticipation.

### math

Let f(x)=2x2+40x+25. Given that f(x) leaves the same remainder when divided by x−a as when divided by x+2a for a positive integer a, what is the value of a?

### pre-calculus 11

I am asked to solve the absolute value equation of |1/2x +1| =x+1 graphically. I can solve this algebraically and consider two cases for the absolute value one being positive and the other negative. I know this will be a straight line and when I solved it algebraically x=0 the...

### pre-calculus 11

I am asked to solve the absolute value equation of |1/2x +1| =x+1 graphically. I can solve this algebraically and consider two cases for the absolute value one being positive and the other negative. I know this will be a straight line and when I solved it algebraically x=0 the...

### maths

The real numbers x and y satisfy the nonlinear system of equations {2x2−6xy+2y2+43x+43yx2+y2+5x+5y==174,30. Find the largest possible value of |xy

### Math

Solve the system by addition or substitution. 3x – 4y = 8 6x – 2y = 10 Please get me on the correct track for 3x -4y =8 x=4, y=1 for 6x - 2y =10 x= 2, y= 1 Solve one equation for x. 3x = 4y + 8 x = (4y + 8)/3 Insert that value for x in the other equation and solve for y. ...

### math

Hi I wanted to check my work for this problem. Consider the points A(1,0,0) B(2,2,2) and C(0,2,1). 1) Find the vector CA x CB I got -2i -3j +4k for this 2) Find an exact value for the area of the triangle ABC. I got sqrt29/2 for this. 3) Plane II(1) is 2x+3y-4z=2. A second ...

### ordinary differential equation

consider the differential equation d^3x/dt^3 - 9(d^2x/dt^2)+ 27(dx/dt) -27x = c0s t +sin t + te^(3t) a) show that characteristic equation of the differential equation is (m-3)^3 =0 (b) Hence, find the general solution of the equation.

### math

I need to insert grouping symbols in the expression so that the value of the expression is 14 2x2+3(to the 2nd power)-4+3x5 I have done it in every way and can't get 14

### math

The quadratic equation frequently appears in both the equilibrium and acid-base sections of General Chemistry. Therefore, it is useful to refresh the use of the quadratic before applying it to chemistry questions. Which of the following answers is a viable solution to the ...

### math

Can anyone help me with dq i week 2Post your response to the following: How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation with an inequality ...

### Algebra

How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a ...

### calculus

consider g(x)= {a sin x + b, if x ≤ 2pi} {x^2 - pi x + 2, if x > 2pi} A. Find the values of a a b such that g(x) is a differentiable function. B. Write the equation of the tangent line to g(x) at x = 2pi. C. Use the tangent line equation from part B to write an ...

### exact differential equation

(x2-4xy-2y2)dx+(y2-4xy-2x2)dy=0

### math 116

How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a ...

### math 116

How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a ...