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3 years ago

-4x+7y=-14 slope intercept form

Mathematics

2 answers:

xeze [42]3 years ago

7 0

Answer:

y = 4/7x + 2 ( slop-intercept form)

Step-by-step explanation:

fredd [130]3 years ago

5 0

Answer:

The slope-intercept form of the given equation is,

$y = \frac{4x}{7}-2$

Step-by-step explanation:

The given equation of the line is,

- 4x + 7y = - 14

Adding '4x' on both sides of the above equation, we get

- 4x + 7y + 4x = - 14 + 4x

⇒ 7y = 4x - 14

Now, dividing both sides of the above equation by '7', we get

7y ÷ 7 = (4x - 14) ÷ 7

$\implies y = \frac{4x}{7}-\frac{14}{7}$

$\implies y = \frac{4x}{7} - 2$

This is the required equation of the line in slope-intercept form.

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Determine if Ginny factored correctly. If not, explain where she made an error. Ginny made a mistake in step 1 when she identifi

il63 [147K]

Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.

<h3>What is a Quadratic Equation?</h3>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,

$6x^2 - 31x -30 = 0$

As we can see that the value of constants are,

a = 6

b = -31

c = 30

$6x^2 - 31x -30 = 0\\\\6x^2 - 36x+5x -30 = 0\\\\6x(x-6)+5(x-6)=0\\\\(6x+5)(x-6)=0$

Therefore, the factors of the trinomial $6x^2 - 31x -30 = 0$ are (6x+5) and (x-6).

If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.

Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.

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3 0

3 years ago

Read 2 more answers

Determine the quotient: 2 4/7 ÷ 1 3/6

Scilla [17]

First we must change these numbers to improper fractions:

$2\frac{4}{7}=\frac{18}{7}$

$1\frac{3}{6}=\frac{9}{6}$

So then we set it up:

$\frac{18}{7}$ ÷ $\frac{9}{6}$

When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:

$\frac{18}{7}*\frac{6}{9}$

Then we solve:

$\frac{108}{63}$

Then if we divide the numerator and the denominator by 9, we get:

$\frac{12}{7}$ or, in mixed-number form, $1\frac{5}{7}$ .

4 0

4 years ago

If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expres

Luda [366]

$\bf \qquad \textit{parabola vertex form}\\\\\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array}\qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex\ (-4,6)\qquad 
\begin{cases}
h=-4\\
k=6
\end{cases}\implies y=a(x-(-4))^2+6
\\\\\\
y=a(x+4)^2+6
\\\\\\
\textit{we also know that }
\begin{cases}
x=-3\\
y=14
\end{cases}\implies 14=a(-3+4)^2+6$

solve for "a"

8 0

4 years ago

I would like to have an answer for this thanks!

Scilla [17]

The final amount of the compound interest after 6 years would be $ 294, 122, 500

<h3>How to determine the final amount</h3>

The formula for the final amount is given as;

$A = P( 1 + \frac{r}{n}) ^n^t$

Where

A = final amount

P = principal interest

r = interest rate

n = number of times

t = time of periods

We have,

A = $2500$ $( 1 + \frac{6}{1}) ^1^*^6$

A = $2500 ( 7)^6$

A = $2500$ × $117, 649$

A =$ $294, 122, 500$

Thus, the final amount of the compound interest after 6 years would be $ 294, 122, 500

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6 0

2 years ago

What would be the answer?

zmey [24]

Answer:

Step-by-step explanation:

To breakeven means that you made exactly as much money as you spent, so if you spent $50 to make lemonade, you would need to make $50 in profits from selling to break even

first subtract the cost of making each horse from the price of selling each horse (you do this to find out how much profits he makes from one horse):

125 - 75 = 50

now divide 300 by 50 to find out how many horses need to be made to break even:

300 ÷ 50 = 6

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3 years ago

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