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2 years ago

In which quadrant does the given point lie? i) (-4, -3)

Mathematics

1 answer:

Umnica [9.8K]2 years ago

6 0

Answer:

Quadrant III

Step-by-step explanation:

Because both numbers are negative, the point lands in Quadrant III.

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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

Car survey

Gnoma [55]

Answer:

65%

Step-by-step explanation:

yes i changed it because i don't want to confuse anyone:)

3 0

3 years ago

Read 2 more answers

Amy and her brother get the same allowance. Amy saved 1/5 and her brother 4/5 of his allowance. How much more did her brother sa

Anon25 [30]

Answer:

3/5

Step-by-step explanation:

Step one:

given data

Amy saved 1/5

her brother 4/5

Required

How much more did her brother save

Step two:

let us subtract Amy's savings from her brother's

4/5-1/5

=4-1/5

=3/5

6 0

3 years ago

Lance Brothers Enterprises acquired $770,000 of 5% bonds, dated July 1, on July 1, 2016, as a long-term investment. Management h

enot [183]

Answer:

Cash (2.00% × $770,000) = $15,400

Interest revenue (2.50% × $690,000) = $17,250.

Discount = 770,000 - 690,000 = 80,000

Date General Journal Debit Credit

July 1, 2016 Investment in bonds 770,000

Discount on bond investment 80,000

Cash 690,000

Dec 31, 2016 Cash 15,400

Discount on bond investment 1850

Interest revenue 17,250

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3 years ago

10) Jacolby can score 30 goals in 6 minutes. Khamari can score 42 goals in 7 minutes. How many more goals can Khamari make per m

lidiya [134]

Answer:

c)1 goal

Step-by-step explanation:

Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.

Hope this helps.

6 0

3 years ago

In which quadrant does the given point lie? i) (-4, -3)​

In which quadrant does the given point lie? i) (-4, -3)