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jeka57 [31]
4 years ago
14

Is the point (2,-11) a solution to the equation y = 3x-17

Mathematics
1 answer:
IRINA_888 [86]4 years ago
6 0
Easy to find out...

y = 3x - 17
(2,-11)....x = 2 and y = -11
now we sub
-11 = 3(2) - 17
-11 = 6 - 17
-11 = -11...correct....so it IS a solution
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a car travels 120 mi. a second car, travelling 10 mph faster than the first car, makes the same trip in 1 hr less time. find the
Murrr4er [49]

<span>Let x be the speed of the first car, then (x + 10) is the speed of the second car.

We can write the equation by the condition of the problem:
</span>
\frac{120}{x}- \frac{120}{x+10}=1 \\ 120(x+10)-120(x)=1(x)(x+10)   \\ 120x+1200-120x=x^2+10x \\ x^2+10x-1200=0 \\ D=b^2-4ac=10^2-4*1*(-1200) = 100+4800 = 4900 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}  \\  \\ x_1= \frac{-10- \sqrt{4900} }{2}= \frac{-10-70}{2} = -\frac{80}{2}=-40 \ \  \ \O

x_2= \frac{-10+ \sqrt{4900} }{2}= \frac{-10+70}{2} = \frac{60}{2}=30  mph s<span>peed ​​of the first car
</span>
Then 30+10=40 mph speed ​​of the second car

Answer: 30mph and 40 mph.


<span>I hope this helps.</span>
8 0
4 years ago
Can someone help me out?
tatiyna

Answer:

d

Step-by-step explanation:

7 0
3 years ago
Determine the values of the letters to complete the conditional relative frequency table by column. A = b =.
elena-14-01-66 [18.8K]

Conditional relative frequency is the ratio of the the value of somthing with the total value for a set in data table. The value of the letter <em>a</em> is 0.1 and the value of the letter <em>b</em> is 0.85.

Given information

In the given table,

For the 16 year old weekend curfew is 0.9 before 10 pm and <em>a </em>after 10 pm in total 1.

For the 17 year old weekend curfew is <em>b</em> before 10 pm and 0.15<em> </em>after 10 pm in total 1.

There is total are with 0.88 before 10 pm and 0.12 after 10 pm in total of 1.

<h3>Conditional relative frequency-</h3>

Conditional relative frequency is the ratio of the the value of somthing with the total value for a set in data table.

As for the relative conditional frequency the sum of the frequencies of each column should be equal to the one.

Hence for column two given in the table,

0.9+a=1

Solve for<em> a</em>,

a=1-0.9\\a=0.1

Thus the value of the letter <em>a</em> is 0.1.

Hence for column three given in the table,

b+0.15=1

Solve for<em> a</em>,

b=1-0.15\\b=0.85

Thus the value of the letter <em>b</em> is 0.85.

Learn more about the conditional relative frequency  here;

brainly.com/question/3444575

8 0
3 years ago
The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first number and le
inn [45]

Write 2 equations:

a +b = 39

and b = 1/2a + 6

Now replace b in the first equation with the second one:

a + 1/2a + 6 = 39

Combine like terms:

1 1/2a + 6 = 39

Subtract 6 from each side:

1 1/2a = 33

Divide both sides by 1 1/2:

a = 33 / 1 1/2 = 33 / 1.5

a = 22

Now replace a with 22 in the first equation and solve for b:

22 + b = 39

b = 39 -22

b = 17

The two numbers are 17 and 22.

8 0
4 years ago
Read 2 more answers
What is the sum of -11/4 + 2?
nadezda [96]
Ok so we do 
-11/4 + 2/1
find like denominator
-11/4 + 8/4
=
-3/4
So thats your final answer :)
6 0
4 years ago
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