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3 years ago

I need the answers for these questions

Mathematics

2 answers:

laiz [17]3 years ago

4 0

1. 17/5
2. 25/4
3. 25/12
4. 27/10
5. 2 2/5
6. 8
7. 10 2/3
8. 1 8/12 or 1 2/3

umka2103 [35]3 years ago

3 0

1. 17/5
2. 25/4
3. 25/12
4. 27/10
5. 2 2/5
6. 8
7. 10 2/3
8. 1 8/12

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Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

$A=[1,4]$

$B=(3,5)$

$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

7 0

4 years ago

Please help me ASAP! Consider the squares, where Square 1 is a translation of Square 2. Which statement is true?

Svet_ta [14]

Answer:

Option B.

Step-by-step explanation:

we know that

A rigid transformation is a transformation that does not alter the size or shape of a figure.

The translation is a rigid transformation that produce congruent figures

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

therefore

The squares are congruent because translations are rigid transformations that preserve the length of the sides of the square

8 0

3 years ago

Solve the following equation for y. Assume that b and y are non-zero real numbers. show and explain your work.

MA_775_DIABLO [31]

6-by=19
minus 6 from both sides
-by=19-6
-by=13
divide both sides by -b
y=13/-b
y=-13/b

5 0

3 years ago

What are the values of x, y and z in the diagram below? x 107° N z w

Sindrei [870]

Answer:

73,107,73

Step-by-step explanation:

x=73 ,y=107 ,z=73

4 0

3 years ago

An animal shelter houses ferrets, rabbits, and dogs. There are 160 animals at the shelter. Of the animals,1/5 are ferry’s . 7/8

Alina [70]

Answer:

There are 32 ferrets, 112 rabbits and 16 dogs at the shelter.

Step-by-step explanation:

There are 160 animals at the shelter. You know that of this amount of animals, $\frac{1}{5}$ are ferrets. So, the number of ferrets can be calculated by:

$\frac{1}{5}*160$

To multiply a fraction by a whole number, any integer n can be written as the fraction $\frac{n}{1}$ . Then you multiply the numerators and denominators. In this case: