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3 years ago

What are the x-intercepts (roots/ zeros)?

Mathematics

2 answers:

valina [46]3 years ago

8 0

Answer:

Roots of Quadratic Equations and the Quadratic Formula

Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots.

Deffense [45]3 years ago

7 0

Answer:

0,40,60

Step-by-step explanation:

where dots touch the x axis

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The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height

Burka [1]

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle = $\frac{1}{2}$ x base x height

From the problem,

base = $\frac{1}{3}$ x height

let the base = b

height = h

b = $\frac{1}{3}$ h

h = 3b

Input into the formula of area;

24 = $\frac{1}{2}$ x b x 3b

Mulitply through by 2;

48 = 3b²

b² = 16

b = √16 = 4

So, h = 3b= 3 x 4 = 12in

6 0

3 years ago

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn

loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 , 69.312)

a) be the same

Step-by-step explanation:

Step (i):-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (ii) :-

Given The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

Step (iii):-

95 percent confidence interval for μ is determined by

$(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )$

$(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )$

(65 - 4.312 ,65 +4.312)

(60.688 , 69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

Conclusion:-

it become same as (61.08, 68.92)

4 0

3 years ago

The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?

yan [13]

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

$x+\dfrac{11}{100}x=x+0.11x=1.11x$

The average wage for an electrician in CA is 11% above the national average. So,

$1.11x=25.47$

Divide both sides by 1.11.

$x=\dfrac{25.47}{1.11}$

$x=22.945945...$

$x=22.95$

Therefore, the national average is $22.95/hour.

3 0

3 years ago

Must m, in the equation y=mx+b=, always be a positive number?

Nadya [2.5K]

Of course not.

If the line rises higher as it goes from left to right,
then its slope ( 'm' ) is positive.

If it sinks lower as it goes from left to right,
then its slope ( 'm' ) is negative.

8 0

3 years ago

Read 2 more answers

What is it called in cubic inch of a cylinder with a height of 4in and a base radius of 5in to the nearest tenths place?

Maru [420]

Answer:

1,256.8in

Step-by-step explanation:

Given data

Height h =4in

Radius r= 5in

The expression for the volume of cylinder is

V=πr²h

Substitute

V=3.142*4²*5

V=3.142 *16*25

V=1,256.8in³

6 0

3 years ago