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3 years ago

15

Use the graph to answer the question. Find the slope

1 answer:

Liula [17]3 years ago

8 0

We can take the two points given and plug them into the slope formula.

$\sf~m=\dfrac{y_2-y_1}{x_2-x_1}$

(-3, 3), (1, -5)
x1 y1 x2 y2

$\sf~m=\dfrac{-5-3}{1-(-3)}$

Subtract:

$\sf~m=\dfrac{-8}{4}$

Divide:

$\sf~m=-2$

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Answer:

a. $V(x)=x(10-2x)(6-2x)$

b. $S(x)=4(15-x^2)$

Step-by-step explanation:

Dimensions of rectangular piece of cardboard= $10\times 6$

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

a.

Volume of box= $l\times b\times h$

Substitute the values in the formula

Volume of box= $x(10-2x)(6-2x)$

$V(x)=x(10-2x)(6-2x)$

b.Surface area of box= $2(b+l)h+lb$

Because the box has no lid

Substitute the values in the formula

Surface area of box= $2(10-2x+6-2x)x+(10-2x)(6-2x)$

Surface area of box= $2(16-4x)x+60-20x-12x+4x^2$

Surface area of box= $32x-8x^2+60-32x+4x^2$

Surface area of box= $60-4x^2=4(15-x^2)$

Surface area of box, S(x)= $4(15-x^2)$

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The points (2, 100) and (4, 105) are found on a line.

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I think its c

Step-by-step explanation:

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2 years ago

Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a spade and the sec

Verizon [17]

Answer:

The answer is 0.123.

Step-by-step explanation:

You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:

⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)

⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)

Either formula works, but I'm going to choose to work with the first formula.

Therefore:

P(Spade) = $\frac{13}{52}$

P(Red/Spade) = $\frac{26}{52-1}$

So:

P(Spade∩Red) = $\frac{13}{52}$ * $\frac{26}{51}$ = $\frac{13}{102}$ = $0.123$

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3 years ago

Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.

9966 [12]

Answer:

The graph is attached below.

Step-by-step explanation:

Considering the exponential function

$y=3^{-2x}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{bx}=\left(a^b\right)^x$

$3^{-2x}=\left(3^2\right)^{-x}$

$=\left(3^2\right)^{-x}$

$=9^{-x}$

The graph is also attached below.

Keywords: exponential function, graph

Learn more about exponential function from brainly.com/question/11908487

#learnwithBrainly

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