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4 years ago

Y=-4(x+3)-2 as a slope intercept function

Mathematics

2 answers:

wariber [46]4 years ago

8 0

Answer:

y = -4x - 14

Step-by-step explanation:

Remember that slope-intercept form is y=mx+b (m is the slope and b is the y-intercept)

y = -4(x+3) - 2 Distribute the -4

y = -4x - 12 - 2 Simplify this

y = -4x - 14 Answer

labwork [276]4 years ago

7 0

Step-by-step explanation:

0=-4(x+3)-2

x=-7/2

x=-31/2,x=-3.5

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A rectangular prism measures 5 cm by 9.5 cm by 17.2 cm what is the volume of the prism

shutvik [7]

Answer:

817 Cubic Centimeters

Step-by-step explanation:

The volume of a prism is just multiplying its length, width, and height.

$lwh=5*9.5*17.2=817$ .

7 0

3 years ago

Help please I ain't very good at math

ruslelena [56]

the idea of showing that multiplying by 1 is true because as long as A and B follow the same ratio pattern (ie. 1n:2n is the same as 2n:4n) the statement will always be true

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3 years ago

Read 2 more answers

A model airplane is 20 inches long and 4 inches wide. If the actual width of the airplane is 20 feet what is the lenght of the a

Kay [80]

The airplane is 100 feet long because 5*4=20 so
that would mean that 20*5=100

7 0

4 years ago

Solve each two-step inequality and graph the solution set on a number line -17 < 3-5x

lawyer [7]

Answer:

$x < 4$

Step-by-step explanation:

Given the following question:

$-17 < 3-5x$

In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.

$-17 < 3-5x$
$-17 < 3-5x=3-5x > -17$
$3-5x > -17$
$3-3=0$
$-17--3=-20$
$5x=-20$
$\frac{5x}{5}=x$
$20\div5=-4$
$x < 4$

When plotting inequalities on the number line keep a few things in mind:

. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.

Hope this helps.

3 0

2 years ago

The owner of a bike shop that produces custom built bike frames has determined that the demand equation for bike frames is given

o-na [289]

Answer:

equilibrium point (10,340)

Step-by-step explanation:

To find the equilibrium point, equal the demand and the supply:

$D(q)=S(q)\\\\-6.10q^2-5q+1000=3.2q^2+10q-80$

Reorganize the terms in one side and reduce similar terms:

$3.2q^2+6.1q^2+5q+10q-80-1000=0\\\\9.3q^2+15q-1080=0$

that's a cuadratic equation, solve with the general formula when:

a=9.3, b=15, c=-1080

$q_{1}=\frac{-b+\sqrt{b^{2}-4ac} }{2a}\\\\q_{2}=\frac{-b-\sqrt{b^{2}-4ac} }{2a}\\\\q_{1}=\frac{-15+\sqrt{(-15)^{2}-4(9.3)(-1080)} }{2(9.3)}\\\\q_{1}=\frac{-15+201}{18.6}\\\\q_{1}=\frac{186}{18.6}\\\\q_1=10$

q can't be negative because it is the quantity of bike frames, so:

$q_{2}=\frac{-b-\sqrt{b^{2}-4ac} }{2a}\\\\q_{2}=\frac{-15-\sqrt{(-15)^{2}-4(9.3)(-1080)} }{2(9.3)}\\\\q_{2}=\frac{-15-201}{18.6}\\\\q_{2}=\frac{-216}{18.6}\\\\$

This value of q can't be considered.

Then substitute the value of q in D(q) to find the price p:

$D(10) = -6.10(10)^2-5(10) + 1000\\\\D(10)=340=p$

The equilibrium point (q,p) is (10,340).

6 0

3 years ago