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2 years ago

The points at which a quadratic equation intersects the x-axis

1 answer:

8 0

The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation

Given :

The points at which a quadratic equation intersects the x-axis

The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.

At x intercepts the value of y is 0.

So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .

The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation

Learn more : brainly.com/question/9055752

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Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.

goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}$

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}$

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

a=b+3

5 0

2 years ago

Applying the Procedure

Verizon [17]

Answer:

15 Square Inches

Step-by-step explanation:

Volume of the cone=40 cubic inches

Height of the cone=8 Inches

Step 1: Applying the formula for the volume of a cone

Volume of a Cone $=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height$

Step 2: Substituting values for the variables

$40=\frac{1}{3} X $Base Area X 8$

Step 3: Simplifying the right side

$40=\frac{8}{3} X $Base Area$

Step 4: Multiplying by the reciprocal

$40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\$

Therefore, Base Area of the Cone=15 Square Inches

8 0

3 years ago

Phylum of the gymnosperms includes only a single living species is called

Drupady [299]

Answer: Conifers

Step-by-step explanation:

Conifers are the only living specie of gymnosperms and are cone bearing seed plants which are needle like and evergreen. Conifers produce pinecones and are common in the cold and boreal region. They are good timbers trees and are used for ornamental purposes. Conifers are the most important and diverse class of gymnosperms with about 588 living species. Examples are pines, cypresses, etc.

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3 years ago

What is the surface area of this wooden board

Sindrei [870]

Answer:

The answer is C. 736 in.

Step-by-step explanation:

A=2(wl+hl+hw)=2·(4·60+2·60+2·4)=736

5 0

3 years ago

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