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3 years ago

1) The number √ , where n is a prime number is

Mathematics

2 answers:

ladessa [460]3 years ago

5 0

I think it is c good luck and i hope it helps you

Firlakuza [10]3 years ago

3 0

It is an irrational number

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1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

Now we have 7 as our x value for the vertex we can substitute for y,

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

$x-4=0\\x=4\\\\x-10=0\\x=10$

4 is slightly different but start the same,

$(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9$

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

$2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30$

Vertex,

$\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1$

Substitute,

$2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32$

So the vertex is (-1,-32)

8 0

3 years ago

Gina invested $10,000 at 1.5% interest compounded annually. How much interest will Gina earn in 2 years

Paha777 [63]

Gina will earn at least 30% of intreat in the next 2 year .

5 0

3 years ago

Explain the slope and y-intercept from the equation y=mx+b.

SIZIF [17.4K]

Answer:

The variable "m" is the variable for SLOPE, and the variable "b" is the variable for the Y-INTERCEPT.

Hope this helps!

7 0

2 years ago

If g:<br>x = 2x-3 4 find 9^-1 (-3)

vfiekz [6]

The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.

<h3>What is inverse of a function?</h3>

Let the function will be

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

The function is given below.

g(x) = (2x – 3) / 4

Then the inverse function of g(x) will be

g⁻¹(x) = (4x + 3) / 2

Then the value of the inverse function, at x = -3, will be

g⁻¹(-3) = [4(-3) + 3] / 2

g⁻¹(-3) = -4.5

Learn more about inverse function here:

brainly.com/question/19425567

$SPJ1

8 0

1 year ago

Math help please will give brainliest

natulia [17]

The answer is C. go with it.

3 0

3 years ago