Given 5n² + 6n + 7 = n² - 4n : a. Find the value of the discriminant. b. State the number and type of roots/solutions/zeros.[2 real, 2 imaginary, 1 real]

parenthesis first (8+5) = 13

35/5 = 7

13x7 +6

13x 7 = 91 +6 = 97

She stared at -400 meters below sea level and the equation is A(t)=740t-400

Functions are written in terms of variables

From the given question;

Let a₀ is the initial height or the height she started at

Required

Initial height

After 1.5 hours, she was 710 meters above sea level

Substitute the given time into the function

A(1.5)=740(1.5)+a₀=710

740(1.5)+a₀=710

1110+a₀=710

a₀=-400

This shows that she stared at -400 meters below sea level and the equation is A(t)=740t-400

Learn more on functions here: https://brainly.com/question/2833285

When y varies inversely with x, they follow the rule y = k/x. If y=12 when x=5, the constant 'k' is found to be 60. Using this constant, when x=3, y is found to be 20.

In mathematics, when we say that y varies inversely with x, it means that as x increases, y decreases proportionally, and vice-versa. Y and x follow the rule y = k/x, where k is a constant number.

Given that y = 12 when x = 5, we can find the constant by multiplying x and y together, so: k = x * y = 12 * 5 = 60.

Now that we have our constant, we can find y when x = 3 by rearranging the formula to y = k / x which gives us: y = 60 / 3 = 20. So, when x is 3, y is 20.

https://brainly.com/question/34281475

#SPJ2

The values of subtraction of  11a²+42a-6 from 14a²-24a+7 is  

3a² - 66a + 1.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

We have to Subtract 11a²+42a-6 from 14a²-24a+7.

So, the subtraction is as follows

= 14a²-24a+7 - ( 11a²+42a-6)

= 14a²-24a+7 - 11a² - 42a + 6

= 14a²- 11a² -24a - 42a + 7- 6

= 3a² - 66a + 1

Learn more about expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

A line of symmetry is when you can put a line through a shape and you can fold it and it is identical on both sides, and rotational is when you can rotate it and at some point it is in the same spot as it was before, so yes, you are right. the octogon.

Step-by-step explanation:

The diagonals of a quadrilateral do not bisect each other then the quadrilateral could be a scalene trapezoid

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

For a scalene trapezoid ,

The four sides are of unequal length

The angles of the scalene trapezoid are not equal

The shortest distance between two parallel sides is known as the altitude

The sides of the scalene trapezoid does not bisect each other

Hence , the diagonal is a scalene trapezoid

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ2

Answer:

The values of given expression at x=-3 are [tex]x^{-3}= -\frac{1}{27}[/tex], [tex]x^{-1}=-\frac{1}{3}[/tex], [tex]x^{0}=1[/tex], [tex]x^{1}=-3[/tex] and [tex]x^{2}=9[/tex].

Step-by-step explanation:

We need to find the value of each expression at x=-3.

The given expression is

[tex]x^{-3}[/tex]

It can be written as

[tex]x^{-3}=\frac{1}{x^3}[/tex]                     [tex][\because x^{-n}=\frac{1}{x^n}][/tex]

Substitute x=-3 in the above expression.

[tex]x^{-3}=\frac{1}{(-3)^3}\Rightarrow -\frac{1}{27}[/tex]

Similarly,

[tex]x^{-1}=\frac{1}{x}\Rightarrow -\frac{1}{3}[/tex]

[tex]x^{0}=1[/tex]                   [tex][\because x^{0}=1][/tex]

[tex]x^{1}=(-3)^1=-3[/tex]

[tex]x^{2}=(-3)^2=9[/tex]

Therefore the values of given expression at x=-3 are [tex]x^{-3}= -\frac{1}{27}[/tex], [tex]x^{-1}=-\frac{1}{3}[/tex], [tex]x^{0}=1[/tex], [tex]x^{1}=-3[/tex] and [tex]x^{2}=9[/tex].

Answer: He hiked 10 miles.

Step-by-step explanation:

3mi/hr x 1 2/3 hr = 5 miles. 5 mi/hr x 1 hr = 5 miles.

To obtain a team with 40% women in a programming team of 20 people, we need to find out how many women should be hired. Currently, there are 5 women in the team (1/4 of 20). By setting up an equation and solving for x, we find that 5 women should be hired.

To obtain a team with 40% women in a programming team of 20 people, we need to find out how many women should be hired. We know that currently 1/4 of the team are women, which means there are 5 women in the team (20 * 1/4 = 5). To find out how many women should be hired, we subtract the number of women in the team from the target number of women in the team:

Number of women to be hired = Target number of women - Current number of women

Number of women to be hired = 0.4 * (20 + x) - 5

Where x is the number of women to be hired. Now we can solve for x:

0.4 * (20 + x) - 5 = x

Distribute and simplify:

8 + 0.4x - 5 = x

Combine like terms:

0.4x - x = 5 - 8

0.6x = 3

Divide both sides by 0.6:

x = 3 / 0.6

x = 5

So, 5 women should be hired to obtain a team with 40% women.

the answer would be 4.3 percent

Answer:

The number of terms in the polynomial are:

Three.

Step-by-step explanation:

We are given a polynomial expression in terms of variable a,b,c,d , e and h as:

[tex]abcd+e-h^2[/tex]

We know that in any algebraic expression the number of terms are the number of unlike expressions that are separated by a minus or plus i.e. addition sign.

Hence here by looking at our polynomial expression we see that there are three terms in the expression :

                 1)   [tex]abcd[/tex]

                 2)   [tex]e[/tex]

                 3)   [tex]h^2[/tex]  

Answer:

[tex]x_{n+1}=-\frac{x_{n}}{4}[/tex]

Step-by-step explanation:

We can get geometric sequence dividing each term by -4

So we will have:

[tex]x_{n+1}=\frac{x_{n}}{-4}=-\frac{x_{n}}{4}[/tex]

We can prove it putting the first value in this recursive equation:

x₁=-80

n = 1

[tex]x_{2}=-\frac{x_{1}}{4}=-\frac{-80}{4}=20[/tex]

If x₂ = 20, the next value will be:

[tex]x_{3}=-\frac{x_{2}}{4}=-\frac{20}{4}=-5[/tex]

I hope it helps you!

since the  blue graph is 2 lines to the left of the red graph, that would mean it moved -2

 so the equation needs to include -2

the correct answer is C