All categories

3 years ago

Say the slope value of the next line -5x + 3y=30

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

<h3>Answer:</h3>

$\large\boxed{C).\,m= 5/3}$

<h3>Step-by-step explanation:</h3>

In this question, we're finding the slope of the line.

What this means is that we have to make the equation into slope intercept form.

Slope intercept form is: y = mx + b

In order to get the equation to slope intercept form, we have to get y by itself and solve from there.

Solve:

$-5x + 3y=30\\\\\text{Add 5x to both sides to get 3y by itself}\\\\3y=5x+30\\\\\text{Divide both sides by 3}\\\\y = 5/3x+30\\\\\text{The slope of the equation would be 5/3}$

When you're done solving, you would see that answer choice C). m = 5/3 would be the correct answer.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3><h3 />

You might be interested in

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

Marianna [84]

Answer:

<em>The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

The manager of Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

<em>sample proportion</em>

<u><em>Null hypothesis: </em></u>The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

<u><em>Alternative Hypothesis:H₁:</em></u>μ > 0.64

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }$

Z = -2.5

<em>Level of significance = 0.05</em>

<em>The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The null hypothesis is rejected at a 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

3 0

3 years ago

Help needed asap will give brainliest <3

KatRina [158]

Answer:

The answer is,surface area= ✓<u>416</u>

4 0

3 years ago

If x = y, y = 2 then 3x =

kenny6666 [7]

Answer:

x=y

y=x

y=2

x=2

(3)(2)

3 times 2 is 6

Step-by-step explanation:

6 0

3 years ago

What is the lcd for the fractions 5/12 and 7/18?

Yakvenalex [24]

Denoms are 12 and 18

12=2*2*3
18=2*3*3
lcd=2*2*3*3=36

lcd=36

3 0

4 years ago