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Anika [276]
3 years ago
9

13) through: (2, -3), parallel to y = -x + 4

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer:

y = - x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 4 ← is in slope- intercept form

with slope m = - 1

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation of the parallel line

To find c substitute (2, - 3) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = - x - 1 ← equation of parallel line

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The ordered pairs on the graph represent a proportional relationship. What is the constant proportionality of Y to X
castortr0y [4]
A 7/4 because the slope of the line is 7/4
7 0
4 years ago
mikes deli just sold 328 ham sandwiches this week. around how many ham sandwiches did mike sold every day this week?
Alenkasestr [34]

Answer:

46.9

Step-by-step explanation:

328/7 = 46.9

To double check: 46.9 x 7 = 328

Have an amazing day!!

PLEASE RATE!!

4 0
3 years ago
between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=
Juli2301 [7.4K]
\bf f(x)=0.35x^2-2.1x+15.8\qquad 
\begin{cases}
x=\textit{year since 1995}\\
f(x)=\textit{population amount}
\end{cases}

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :),   the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

well   \bf \begin{array}{llll}
f(x)=&0.35x^2&-2.1x&+15.8\\
&\quad \uparrow &\quad \uparrow&\uparrow \\
&\quad  a&\quad  b &c
\end{array}
\\\\

\\\\
\qquad  \textit{vertex of a parabola}\\ \quad \\
\qquad 

\left(\boxed{-\cfrac{{{ b}}}{2{{ a}}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
5 0
3 years ago
Find the value of p for which x = -2, y = -1 is a solution of linear equation 5x + 2py = 2p.​
Rom4ik [11]
I think p=4
How I solved it:
5(-2)+2p+2(-1)=2p
-10+2p+-2=2p So cross out last
-2p -2p 2p:)
= -10+2p+-2
+10 +10 Cross out the 10
= 2p=8
= divide both sides by 2p
= 2p/2= 8/2
= cross out the 2.
= which leaves
= p=4 we get 4 because we divide 8 to 2:)


I don’t know if I’m right but yea...



8 0
3 years ago
What is the slope of the line that passes through (1,-4) and (-4,-6)​
Fudgin [204]

The slope of the line is 4/10

remember: rise over run

6 0
3 years ago
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