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3 years ago

8

Where does the graph of y=2x2-x-3 cross as the x-axis?

1 answer:

tiny-mole [99]3 years ago

6 0

This can be determined by finding the x-intercept. In doing so, we let y=0 to find the value of x.

y= 2x^2 -x -3
[0 = 2x^2 -x-3]÷2
0 = x^2 -1/2 x - 3/2

Complete the squares:

1/16 + 3/2 = x^2 - 1/2x + 1/16
25/16 = (x -1/4)^2
sqrt (25/16) = x - 1/4
+/- 5/4 = x - 1/4

Thus,
x = 1/4 + 5/4 = 3/2
x = 1/4 - 5/4 = -1

Thus, the graph crosses at x = 3/2 and x = -1.

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21.12 is what percent of 82.5 ?

Tanya [424]

21.12 is 25.6% of 82.5. I hope this helps. :)

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3 years ago

What is the 50th term of the sequence that begins -4, 2, 8, 14....?

vagabundo [1.1K]

Answer:

$a_{50}=290$

Step-by-step explanation:

Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term $a_1=-4$ . and common difference "<em>d</em>" = 6.

Recall now the formula for the nth term ( $a_n$ ) of an arithmetic sequence:

$a_n=a_1+(n-1)\,d$

Then, using our values in the formula, we get:

$a_n=a_1+(n-1)\,d\\a_{50}=-4+(50-1)\,6\\a_{50}=-4+(49)\,6\\a_{50}=290$

7 0

3 years ago

liubo4ka [24]

Answer:

the answer is 4

Step-by-step explanation:i hope im right sry if im not

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3 years ago

Read 2 more answers

Jamie wants to treat some friends to lunch.He has $40 and knows that lunch will cost about $7 per person,p. How many people can

Marrrta [24]

Answer:

$7p\leq 40$

Jamie can buy lunch for 5 person.

Step-by-step explanation:

Given:

Jamie has $40.

Lunch cost per person = $7

Solution:

Jamie wants to treat some friends to lunch.He has $40 and knows that lunch will cost about $7 per person, p.

So, an inequality to represent this situation is written as:

$(Lunch\ cost\ per\ person)p\leq Total\ amount$

$7p\leq 40$

$p\leq \frac{40}{7}$

$p\leq 5.71$

Hence, the answer is 5

Therefore, Jamie can buy lunch for 5 persons.

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3 years ago

PLEASEE HELPP I WILL GIVE BRAINLIEST

krek1111 [17]

Answer:

p=0.4

Step-by-step explanation:

6(p+2.25)=15.9

6p+13.5=15.9

6p=2.4

p=0.4

7 0

2 years ago

Read 2 more answers