All categories

3 years ago

What is the equation of the points (-3,2) (2,-1) in standard form?

1 answer:

3 0

You can just plug in one of the points to each equation until you get an equality that is true.

I chose to use (-3,2)

1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)

2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)

3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)

So, the correct equation is 3x+5y=1.

Make sense?

You might be interested in

Name two solutions for each inequality.

ahrayia [7]

So,

#1: $n \geq 3 \frac{11}{16} + 4 \frac{1}{2}$

Convert to like improper fractions.
$n \geq \frac{59}{16} + \frac{72}{16}$

Add.
$n \geq \frac{131}{16}\ or\ 8 \frac{3}{16}$

So, one solution could be $8 \frac{3}{16}$ .

Another solution could by 9. There is also 10, 11, 12, etc., and all numbers in between.

#2: $k \ \textless \ 6 \frac{2}{5} * 15$

Convert into improper fraction form.
$k \ \textless \ \frac{32}{5} * 15$

Multiply.
$\frac{(2^5)(3)(5)}{5}$

Cross-cancel, and we have our final result.
$(2^5)(3) = 96$
k < 96

96 is not a solution.

95 is a solution.

So is 94, 93, 92, etc, and all numbers in between.

6 0

3 years ago

Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has

Feliz [49]

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = $\frac{1}{4}x$

Sweets given to Raji = 5

Remaining sweets = 7

$x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16$

6 0

3 years ago

Which probability distribution table corresponds with this frequency distribution table

nlexa [21]

Answer:

$\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}$

Step-by-step explanation:

First find the sum

$\sum f=4+6+1+4+5=20.$

Now, find the probabilities:

$Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;$
$Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;$
$Pr(x=3)=\dfrac{1}{20}=0.05;$
$Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;$
$Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.$

Hence, the frequency distribution table is

$\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}$

4 0

3 years ago

Factor Completely : 3x^3 -12x

Thepotemich [5.8K]

The answer you're looking for will be,
ANSWER: 3x(x + 2)(x - 2)

You're welcome.

STEPS:
#1. Factor out common term 3x.

7 0

3 years ago

Justin has $7.50 more than Ava and Emma has $12 less than Justin. Together, they have a total of $63.00. How much money does eac

Semmy [17]

Justine > Ava > Emma
12 - 7.5 = 4.5
x + (x+4.5) +(x+12) = 3x + 16.5 = 63
63-16.3 = 56.7
56.7/ 3 = 18.9
A: Emma has $ 18.9 Ava has $23.4 Justin has $30.9

5 0

3 years ago