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3 years ago

Which statement is true about the value of the expression below? PLEASE HELP

Mathematics

1 answer:

Naily [24]3 years ago

4 0

Answer:

The answer is It is between 0 and 1

Step-by-step explanation:

If you solve the problem step by step as (-2^3)^-2<1 then it comes out as true so it would be less than 1 but more then 0.

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The standard form of the equation of a parabola is y = 5x2 + 20x + 14.

Irina-Kira [14]

The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6

8 0

2 years ago

Read 2 more answers

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

brilliants [131]

Degree: 5; leading coefficient: 10

Option D is correct.

Step-by-step explanation:

We need to identify if $f(x) = 10x^5 + 7x^4+5$ is a polynomial function, then state its degree and leading coefficient or not.

Polynomial

A polynomial is an algebraic expression containing two or more terms that have same variables but may have different exponents combined through mathematical symbol(+,-,*or/)

So, $f(x) = 10x^5 + 7x^4+5$ is a polynomial function

Degree of polynomial

The degree of polynomial is the highest degree obtained by sum of all exponents of individual terms in the polynomial.

So, $f(x) = 10x^5 + 7x^4+5$ has highest degree 5

Degree = 5

Leading Coefficient

The leading coefficient is the coefficient of first term of the polynomial.

So, $f(x) = 10x^5 + 7x^4+5$ has leading coefficient = 10

So, Leading coefficient = 10

So, Degree: 5; leading coefficient: 10

Option D is correct.

Keywords: Polynomials

Learn more about Polynomials at:

#learnwithBrainly

3 0

3 years ago

What do you call it was someone pays back a loan quickly

Gekata [30.6K]

Answer:

a sudden debt payoff

Step-by-step explanation:

5 0

3 years ago

The ratio of the height of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331cm, to the nearest whole numbe

IRISSAK [1]

Answer:

The volume of the larger pyramid is equal to $7,133\ cm^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

In this problem, the ratio of the height is equal to the scale factor

$z=\frac{4}{7}$

step 2

Find the volume of the larger pyramid

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----> volume of the smaller pyramid

y----> volume of the larger pyramid

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

we have

$z=\frac{4}{7}$

$x=1,331\ cm^{3}$

substitute

$(\frac{4}{7})^{3}=\frac{1,331}{y}\\ \\(\frac{64}{343})=\frac{1,331}{y}\\ \\y=343*1,331/64\\ \\y=7,133\ cm^{3}$

8 0

2 years ago

What is the solution to -3x+23-7?<br> O x>-12<br> O x>12<br> O x<12<br> O x<-12

netineya [11]

It’s the second one x>_12 because it’s a closed circle on the number line and it’s going right

6 0

2 years ago