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4 years ago

Which of the following are CORRECT answers

Mathematics

1 answer:

kap26 [50]4 years ago

7 0

$(2x+3)^2=11\to2x+3=\pm\sqrt{11}\ \ \ |-3\\\\2x=-\sqrt{11}-3\ \vee\ 2x=\sqrt{11}-3\ \ \ |:2\\\\x=\dfrac{-\sqrt{11}-3}{2}\ \vee\ x=\dfrac{\sqrt{11}-3}{2}$

Answer: C. and E.

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Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?

grandymaker [24]

Answer:

$f(x)=-4(x-2)(x+7)$

Or, in standard form:

$f(x)=-4x^2-20x+56$

Step-by-step explanation:

We can use the factored form of a quadratic equation:

$f(x)=a(x-p)(x-q)$

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

$f(x)=a(x-2)(x+7)$

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

$32=a(1-2)(1+7)$

We can now solve for a. First, compute:

$32=a(-1)(8)$

Multiply:

$32=-8a$

Divide both sides by -8:

$a=-4$

So, the value of a is -4.

Therefore, our entire equation is:

$f(x)=-4(x-2)(x+7)$

Notes:

We can expand this into standard form:

$f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56$

5 0

3 years ago

What is slope intercept form

Nat2105 [25]

Slope intercept form is y=mx+b

4 0

3 years ago

Read 2 more answers

A. (x, y) = (x + 6, y)

svet-max [94.6K]

Answer:

i don't know, you need to tell us what we need to do

Step-by-step explanation:

5 0

2 years ago

X squared minus 25 equals 0

Yuri [45]

$x^2-25=0\\
x^2=25\\
x=\sqrt{25}\\ x=-5 \vee x=5$

or

$x^2-25=0\\
(x+5)(x-5)=0\\
x=-5 \vee x=5
$

7 0

4 years ago

Dominick weighs 30 pounds more than his sister. Together they weigh 330 pounds. How much does Dominick weigh?

german

Domik weights 30 pounds more than his sister

Together they weigh 330 pounds

Let "x" represent the weight of Dominik's sister, then his weight can be expressed as "x+30"

And their total weight can be calculated as:

$x+(x+30)=330$

From this expression you can calculate the value of x:

$\begin{gathered} 2x+30=330 \\ 2x+30-30=330-30 \\ 2x=300 \\ \frac{2x}{2}=\frac{300}{2} \\ x=150 \end{gathered}$

x=150 pounds

x+30=150+30=180 pounds

Dominik weights 180pounds and his sister 150 pounds

8 0

2 years ago

Read 2 more answers