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3 years ago

Translate to an equation and solve the product of 2 and a number increased by 8 is -48

Mathematics

1 answer:

Marizza181 [45]3 years ago

4 0

The equation would be 2x+8=-48 and x=-28

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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

3 years ago

5/8 - 4/5 subtract as indicated and express your answer in lowest terms

Nitella [24]

Answer:

-7/40

Step-by-step explanation:

5/8 - 4/5

~Find common denominators

25/40 - 32/40

~Subtract

-7/40

Best of Luck!

4 0

3 years ago

Greatest common factor of 24x^8+6x^5+9x^2

spayn [35]

Ihhkbhuuhvhuvhicuhivyyfkhfkhkj

7 0

3 years ago

jolli1 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

What is the vertex of f(x)=(x+1)^2-6

RoseWind [281]

(-1, -6) is the vertex of that equation. use the number in the brackets and change the signs for the x-value. use the last number outside of the brackets for the y-value

8 0

2 years ago