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2 years ago

Given the function defined by g(x)=-x^2-3x+3, find g (-2). Simplify G(-2)=

Mathematics

1 answer:

Naya [18.7K]2 years ago

8 0

Answer:

put the value of x is (_2) and solve

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Help on this this is the last one promise!!

tankabanditka [31]

6) check picture

a) all three lines are parellel and have the same slope. the only difference is that they are translated on different points on the x-axis.

not sure about the rest sorry :(

6 0

4 years ago

Read 2 more answers

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

nevsk [136]

Answer:

$x_2 \approx -1.769$

Step-by-step explanation:

Let $f(x)=x^3+x+7$

So $f'(x)=3x^2+1$

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

Let $x_1=-2$

We are going to find $x_2$

So we are evaluating $-2-\frac{f(-2)}{f'(-2)}$

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

$f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3$

$f'(-2)=3(-2)^2+1=3(4)+1=12+1=13$

$x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769$

5 0

3 years ago

What is the unit rate of 88 students for 4 classes

Nat2105 [25]

So, We Have A Rate That We Need To Simplify. We Have:
88 students for every 4 classes
So, We Need To Simplify This Rate. In Order To Do This, We Need To Change Is To A Fraction. It Is:
88 students
---------------
4 classes

Now, We Have To Simplify. We Can Do That By Remembering How To Simplify Fractions.

So,
88 ÷ 2 = 44 ÷ 2 = 22 students
--- --- ---------------
4 ÷ 2 = 2 ÷ 2 = 1

So, The Unit Rate For 88 Students For 4 Classes Is:
22 Students For One Class

5 0

4 years ago

Which equation represents the line that passes through the points (4, 6) and (−2, −1)?

KatRina [158]

Find the slope first by using rise/run

$m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}$

$y=mx+b\\y=\frac{7}{6}x+b$

We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).

Substitute x = -2 and y = -1 in the equation.

$-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}$

Thus the y-intercept is 4/3.

From y = mx+b, the equation is.

$y=\frac{7}{6}x+\frac{4}{3}$

8 0

3 years ago

Find the complex conjugate of the given number -1+4i

adell [148]

With every imaginary term, there are 2 complex conjugates with opposing signs. So if I had the term a+bi, the complex conjugate would be a-bi. So given your example of -1+4i, the complex conjugate would just be the opposite sign, now negative, to get -1-4i.

3 0

3 years ago