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3 years ago

Convert the following into Vertex form y=-3x^2 +1

Mathematics

1 answer:

olganol [36]3 years ago

6 0

I suck at explaining but I know it’s 4

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If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .

Drupady [299]

Answer:

$\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}$

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: $x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}$

Plug in a for 2, b for 3, and c for -7 and you should find your roots.

5 0

3 years ago

Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.

Troyanec [42]

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

4 0

3 years ago

The two rectangular prisms are similar.

Sophie [7]

Answer:

The volume of the larger rectangular prism is $648\ cm^{3}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x-----> the volume of the larger rectangular prism

y-----> the volume of the smaller rectangular prism

$z^{3}=\frac{x}{y}$

In this problem we have

$z=\frac{12}{4}=3$ ---> the scale factor is equal to the ratio of its corresponding sides

$y=24\ cm^{3}$

substitute and solve for x

$3^{3}=\frac{x}{24}$

$x=27*24=648\ cm^{3}$

6 0

3 years ago

If f(x)=(3+x)/(x-3), what is f(a+2)?

tigry1 [53]

Answer:

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,

f(a + 2) = (3 + a + 2) / (a + 2 - 3)

Simplifying the function generated above,

f(a + 2) = (5 + a) / (a - 1)

3 0

2 years ago

What is ✓ 75 in simplified form? O 5V5 0 2573 O 3V 5 O 3V 25

faust18 [17]

It should be 5√3

Because 25 x 3 = 75

√25=5 so u bring that out and keep the 3 in because it’s a prime number

3 0

3 years ago