MATHEMATICS HIGH SCHOOL

Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?
A). 1.5 and 2.9
B). -0.2 and 2.9
C). 2 and 2.9
D). -0.2 and 2

2). What is the solution set of 4x^2-3=11x?
A). {-3/4,1}
B). {1/4,-3}
C). {-1/4,3}
D). {3/4,-1}

3). What would the graph of g(x)=-(x+2)^2+5 look like?

Answers

Answer 1
Answer: 1. -4x² + 11x + 2 = 0
     x = -(11) ± √((11)² - 4(-4)(2))
                         2(-4)
     x = -11 ± √(121 + 32)
                     -8
     x = -11 ± √(153)
                  -8
     x = -11 ± 3√(17)
                 -8
     x = -11 ± 3(4.1)  
                -8
     x = -11 ± 12.3
                -8
     x = -11 + 12.3    or    x = -11 - 12.3
                -8                             -8
     x = 1.3         or          x = -23.3
           -8                                -8
     x = -0.1625       or      x = 2.9125
     x ≈ -0.2         or          x ≈ 2.9

The answer is B.

2.          4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
                         2(4)
    x = 11 ± √(121 + 48)
                      8
    x = 11 ± √(169)
                 8
    x = 11 ± 13
               8
    x = 11 + 13    or    x = 11 - 13
              8                           8
    x = 24         or       x = -2
           8                           8
   x = 3         or          x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

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What is the equation of the line that passes through (-1, -7) and has a slope of 2?

Answers

Answer:

y=2x + 5 I think it should be

PLEASE ANSWER ASAP 20 POINTS + BEST GETS CHOSEN AS BRAINLIESTFind f(x+h)-f(x)/h for f(x) = x + 4.

Answers

f(x)=x+4\n\n(f(x+h)-f(x))/(h)=((x+h+4)-(x+4))/(h)\n\n=(x+h+4-x-4)/(h)=(h)/(h)=1

Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 – 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. For which interval of time is Greg’s car moving in the air?

Answers

Answer:

It takes 3 seconds over the interval [0,3]

Step-by-step explanation:

To find when the roller coaster reaches the ground, find when d=0.

0=144-16t^2

To solve divide each term by 16 and factor:

(0)/(16)=(144)/(16) -(-16t^2)/(16)  \n0= 9 - t^2\n0=(3-t)(3+t)

Solve for t by setting each factor to 0.

t-3=0 so t=3

t+3=0 so t=-3

This means the car is in the air from 0 to 3 second.

The time interval will be 0<t<3  or (0, 3)

What is interval?

A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

Given:

d = 144 – 16t²

Now,

d>0

144 – 16t²>0

144>16t²

144/16>t²

9>t²

t<±3

Since, timecan't be negative.

So, t<3

Hence, the interval for which Greg’s car moving in the air is,  0<t<3  or (0, 3).

Learn more about this concept here:

brainly.com/question/2055227

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When you use the distance formula, you are calculating the length of the _____ of a right triangle. A.hypotenuse B.longer leg C.perimeter D.shorter leg

Answers

You are finding the hypotenuse. :)

Answer:

A.hypotenuse

Step-by-step explanation:

When you use the distance formula, you are calculating the length of the hypotenuse  of a right triangle

URGENT!!!
What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?

Answers

For anyone who needs this answer or for future math students... The answer is D: 12C8(3)^8

Reason:

I got it correct on Edge
Hello,

Term in x^4 =195*6561=3247695

3^(12-4)=3^8=6561
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Combine like terms.
3y + y + 6y
A. 10y
B. 8y
C. 9y-y
D. 2y

Answers

First off,like terms are value with the same unknown.

For example,in the equation 2x+3y+5y+4x,

The like terms would be 2x and 4x, with the same unknown x,
and the other like terms would be 3y and 5y with the same unknown y.

In this case (3y+y+6y), as they all have unknown y, they all are like terms.

To combine,we can simply add them together:
3y + y + 6y \n = 4y + 6y \n = 10y

Therefore the answer is A. 10y.

Hope it helps!

Answer: Its A.) 10y


Step-by-step explanation:
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