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2 years ago

Calculate the axis of symmetry in the equation Y = (x+1) (x-4)

Mathematics

1 answer:

algol [13]2 years ago

6 0

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

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(-5z)^3 using only positove exponents

Elena L [17]

Answer:

Shown below

Step-by-step explanation:

First allocate the power of three to every number

$-5^{3} * z^{3}$ = $-125 * z^{3}$

not sure what you mean by positive exponents, the exponents already are positive. Maybe you mean positive exponents and integers?

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2 years ago

Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 12 dollars. he has 1/4 of the money he needs, how much more money

Archy [21]

In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
and to find out how much more money he needs, you can subtract 9 from 36 which represents a fourth of the required money. the answer is 27, that's how much jim needs in order to buy his gifts.

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3 years ago

Explain why rational exponenets are not defined when the denominator of the exponent in lowest terms is even and the base is neg

Natali5045456 [20]

Answer:

The correct answer is:

we cannot take an even root of a negative number in the real number system.

Explanation:

A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.

If the base is negative, this means we want an even root of a negative number.

Any even root can be broken down into a series of square roots, done one after another.

However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.

Read more on Brainly.com - brainly.com/question/2004951#readmore

Step-by-step explanation:

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3 years ago

△ABC∼△DEF , △ABC has a height of 14 centimeters, and △DEF has a height of 6 centimeters. What is the ratio of the area of △ABC t

Kamila [148]

Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9

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3 years ago

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If the xy-plane, the graph of y=x^2 and the circle with center (0,1) and radious 3 have how many points of intersection?

PSYCHO15rus [73]

The answer to this question is c, two. The top arc of the circle intersects the y=x^2 as each 'limb' extends into infinity. The part of the circle below the x-axis does not intersect the circle. The y=x^2 curve does not dip below the x-axis, but does extend into infinity on both the negative x-axis and positive x-axis.

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3 years ago