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2 years ago

Which equation represents the graphed function? (0,3) (3,2)

Mathematics

2 answers:

Katen [24]2 years ago

4 0

The answer to the question is d i am doing a test and i got it right

alexandr1967 [171]2 years ago

4 0

Answer: $y=-\frac{1}{3}x +3$

Step-by-step explanation: We are given coordinates of the graph (0,3) and (3,2).

We need to find the equation of line for given coordinates (0,3) and (3,2).

First we need to find the slope between given points.

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(3,\:2\right)$

$m=\frac{2-3}{3-0}$

$m=-\frac{1}{3}$

We got slope m= $-\frac{1}{3}$

We have first point (0,3) and this represents y-intercept at 3.

Therefore, applying slope-intercept form y=mx+b, we get

$y=-\frac{1}{3}x +3$

Therefore, correct option is D option : $y=-\frac{1}{3}x +3$

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3 years ago

What is one of the solutions to the following system of equations?

Amanda [17]

Answer:

(8,-1)

Step-by-step explanation:

Given : $x^{2} +y^{2} =65$

$x+y=7$

To Find: solution of given system of equations.

Solution:

Equation a : $x^{2} +y^{2} =65$

Equation b : $x+y=7$

Substitute the value of y from equation b in equation a

y from equation b : y = 7-x

Now substitute value of y in equation a

Thus equation a becomes:

$x^{2} +(7-x)^{2} =65$

$x^{2} +49+x^{2}-14x =65$

$2x^{2} -14x =65-49$

$x^{2} -7x -8=0$

$x^{2} -8x+x -8=0$

$x(x-8)+1(x-8)=0$

$(x+1)(x-8)=0$

⇒ x= -1 and x = 8

Now substitute values of x in equation b to obtains values of y

⇒ $x+y=7$

for x = -1

⇒ $-1+y=7$

⇒ $y=7+1$

⇒ $y=8$

Thus (x,y)=(-1,8)

For x =8

⇒ $8+y=7$

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Thus (x,y)=(8,-1)

Hence Option A is the correct solution .

6 0

3 years ago

Read 2 more answers

A newsletter publisher believes that less than 58% of their readers own a Rolls Royce. For marketing purposes, a potential adver

quester [9]

Answer:

We don´t have at 95% of confidence, evidence to reject the publisher´s claim

Step-by-step explanation:

Population mean p₀ = 58 % or p₀ = 0,58

Hypothesis Test:

Null Hypothesis H₀ p = p₀

Alternative Hypothesis Hₐ p < p₀

For a significance level α = 0,05 means that CI = 95 % or CI = 0,95

z(c) = - 1,64

MOE = z(c)* √(p*q)/n

p - p₀ / √(p*q)/n = z(s)

And that z(s) is in the acceptance region

|z(s)| < |z(c)|

|z(s)| < 1,64

Then if that so we fail to reject H₀ . We don´t have evidence to reject the publisher´s claim

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2 years ago