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2 years ago

1. Find the slope of the line1. a) -5/4 b) 5/4 c) -4/5 d) 4/5

Mathematics

2 answers:

Daniel [21]2 years ago

8 0

If it’s a negative slope A, if it’s a positive slope B

Andreyy892 years ago

6 0

It’s a negative slope so the answer is A

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A Hexagonal pyramid is located on top of a hexagonal prism. How many vertices are there?

Scrat [10]

For a better understanding of the answer given here, please go through the diagram in the attached file.

The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).

As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.

The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.

The Apex of the pyramid, P is one more vertex.

Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:

6+6+1=13

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The starting salaries of individuals with an mba degree are normally distributed with a mean of $40,000 and a standard deviation

tatiyna

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2 years ago

Y= 3x-1 2x+6=y substitution method

vfiekz [6]

Answer: (7, 20)

Concept:

There are three general ways to solve systems of equations:

Elimination
Substitution
Graphing

Since the question has specific requirements, we are going to use substitution to solve the equations.

Solve:

Given equations

y = 3x - 1

2x + 6 = y

Substitute the y value since both equations has isolated [y]

2x + 6 = 3x - 1

Add 1 on both sides

2x + 6 + 1 = 3x - 1 + 1

2x + 7 = 3x

Subtract 2x on both sides

2x + 7 - 2x = 3x - 2x

$\boxed{x=7}$

Find the value of y

y = 3x - 1

y = 3(7) - 1

y = 21 - 1

$\boxed{y=20}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

Read 2 more answers

Can someone please answer these questions to help me understand? Please and thank you! Will mark as brainliest!!

Nadya [2.5K]

QUESTION 1

If a function is continuous at $x=a$ , then $\lim_{x \to a}f(x)=f(a)$

Let us find the limit first,

$\lim_{x \to 4} \frac{x-4}{x+5}$

As $x \rightarrow 4$ , $x-4 \rightarrow 0$ , $x+5 \rightarrow 9$ and $f(x) \rightarrow \frac{0}{9}=0$

$\therefore \lim_{x \to 4} \frac{x-4}{x+5}=0$

Let us now find the functional value at $x=4$

$f(4)=\frac{4-4}{4+5} =\frac{0}{9}=0$

Since

$\lim_{x \to 4} f(x)=\frac{x-4}{x+5}=f(4)$ , the function is continuous at $a=4$ .

QUESTION 2

The correct answer is table 2. See attachment.

In this table the values of x approaches zero from both sides.

This can help us determine if the one sided limits are approaching the same value.

As we are getting closer and closer to zero from both sides, the function is approaching 2.

The values are also very close to zero unlike those in table 4.

The correct answer is B

QUESTION 3

We want to evaluate;

$\lim_{x \to 1} \frac{x^3+5x^2+3x-9}{x-1}$

using the properties of limits.

A direct evaluation gives $\frac{1^3+5(1)^2+3(1)-9}{1-1}=\frac{0}{0}$ .

This indeterminate form suggests that, we simplify the function first.

We factor to obtain,

$\lim_{x \to 1} \frac{(x-1)(x+3)^2}{x-1}$

We cancel common factors to get,

$\lim_{x \to 1} (x+3)^2$

$=(1+3)^2=16$

The correct answer is D

QUESTION 4

We can see from the table that as x approaches $-2$ from both sides, the function approaches $-4$

Hence the limit is $-4$ .

See attachment

The correct answer is option A

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3 years ago

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